L084lemma invention

The axioms are: fact zara; fact tumi; fact pigu.
The candidates are: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
The goal is pova.
The rules are:
  - rule pupa: geri if nasi and pigu
  - rule buki: nasi if tumi and zara
  - rule geko: nasi if zara
  - rule zeru: tivi if nasi and zara
  - rule godi: tivi if zara and geri
  - rule boni: pova if tugi and tivi
  - rule ruta: tugi if geri and nasi
  - rule rape: pova if geri and tivi
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: zara; el hecho: tumi; el hecho: pigu.
Los candidatos son: k0 el lema geri; k1 el lema nasi; k2 el lema tivi; k3 el lema tugi.
El objetivo es pova.
Las reglas son:
  - regla pupa: geri si nasi y pigu
  - regla buki: nasi si tumi y zara
  - regla geko: nasi si zara
  - regla zeru: tivi si nasi y zara
  - regla godi: tivi si zara y geri
  - regla boni: pova si tugi y tivi
  - regla ruta: tugi si geri y nasi
  - regla rape: pova si geri y tivi
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：zara；事实：tumi；事实：pigu。
候选项如下：k0的引理是geri；k1的引理是nasi；k2的引理是tivi；k3的引理是tugi。
目标是pova。
规则如下：
  - 规则pupa：若nasi和pigu则geri
  - 规则buki：若tumi和zara则nasi
  - 规则geko：若zara则nasi
  - 规则zeru：若nasi和zara则tivi
  - 规则godi：若zara和geri则tivi
  - 规则boni：若tugi和tivi则pova
  - 规则ruta：若geri和nasi则tugi
  - 规则rape：若geri和tivi则pova
的引理是that大多数shortens这证明什么？

Belitler: olgu: zara; olgu: tumi; olgu: pigu.
Adaylar: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Hedef pova.
Kurallar:
  - kural pupa: eğer nasi ve pigu ise geri
  - kural buki: eğer tumi ve zara ise nasi
  - kural geko: eğer zara ise nasi
  - kural zeru: eğer nasi ve zara ise tivi
  - kural godi: eğer zara ve geri ise tivi
  - kural boni: eğer tugi ve tivi ise pova
  - kural ruta: eğer geri ve nasi ise tugi
  - kural rape: eğer geri ve tivi ise pova
Lemma that çoğu shortens ispat ne?

Axioms: fact: zara; fact: tumi; fact: pigu.
Wagombea ni: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Lengo ni pova.
Sheria ni:
  - kanuni pupa: kama nasi na pigu basi geri
  - kanuni buki: kama tumi na zara basi nasi
  - kanuni geko: kama zara basi nasi
  - kanuni zeru: kama nasi na zara basi tivi
  - kanuni godi: kama zara na geri basi tivi
  - kanuni boni: kama tugi na tivi basi pova
  - kanuni ruta: kama geri na nasi basi tugi
  - kanuni rape: kama geri na tivi basi pova
Lemma that wengi shortens proof nini?

The axioms are: fact zara; fact tumi; fact pigu.
The candidates are: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
The goal is pova.
The rules are:
  - rule pupa: geri if nasi and pigu
  - rule buki: nasi if tumi and zara
  - rule geko: nasi if zara
  - rule zeru: tivi if nasi and zara
  - rule godi: tivi if zara and geri
  - rule boni: pova if tugi and tivi
  - rule ruta: tugi if geri and nasi
  - rule rape: pova if geri and tivi
What is the lemma that most shortens the proof?

{axioms: [(fact zara) (fact tumi) (fact pigu)], candidates: [(lemma k0 geri) (lemma k1 nasi) (lemma k2 tivi) (lemma k3 tugi)], goal: pova, query: lemma_that_most_shortens_the_proof, rules: [(rule pupa geri [nasi pigu]) (rule buki nasi [tumi zara]) (rule geko nasi [zara]) (rule zeru tivi [nasi zara]) (rule godi tivi [zara geri]) (rule boni pova [tugi tivi]) (rule ruta tugi [geri nasi]) (rule rape pova [geri tivi])]}

Axiome: Tatsache zara; Tatsache tumi; Tatsache pigu.
Die Kandidaten sind: k0 Lemma geri; k1 Lemma nasi; k2 Lemma tivi; k3 Lemma tugi.
Ziel: pova.
Die Regeln sind:
  - Regel pupa: geri wenn nasi und pigu
  - Regel buki: nasi wenn tumi und zara
  - Regel geko: nasi wenn zara
  - Regel zeru: tivi wenn nasi und zara
  - Regel godi: tivi wenn zara und geri
  - Regel boni: pova wenn tugi und tivi
  - Regel ruta: tugi wenn geri und nasi
  - Regel rape: pova wenn geri und tivi
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница zara; чи̏њеница tumi; чи̏њеница pigu.
Кандѝда̄т: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Ци̑љ: pova.
Пра̏вило:
  - пра̏вило pupa: geri ȁko nasi и pigu
  - пра̏вило buki: nasi ȁko tumi и zara
  - пра̏вило geko: nasi ȁko zara
  - пра̏вило zeru: tivi ȁko nasi и zara
  - пра̏вило godi: tivi ȁko zara и geri
  - пра̏вило boni: pova ȁko tugi и tivi
  - пра̏вило ruta: tugi ȁko geri и nasi
  - пра̏вило rape: pova ȁko geri и tivi
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia zara; tosiasia tumi; tosiasia pigu.
Ehdokkaat: k0 perusmuoto geri; k1 perusmuoto nasi; k2 perusmuoto tivi; k3 perusmuoto tugi.
Päämäärä: pova.
Säännöt:
  - sääntö pupa: geri jos nasi ja pigu
  - sääntö buki: nasi jos tumi ja zara
  - sääntö geko: nasi jos zara
  - sääntö zeru: tivi jos nasi ja zara
  - sääntö godi: tivi jos zara ja geri
  - sääntö boni: pova jos tugi ja tivi
  - sääntö ruta: tugi jos geri ja nasi
  - sääntö rape: pova jos geri ja tivi
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：zara；事实：tumi；事实：pigu。
候选项如下：k0的引理是geri；k1的引理是nasi；k2的引理是tivi；k3的引理是tugi。
目标是pova。
规则如下：
  - 规则pupa：若nasi和pigu则geri
  - 规则buki：若tumi和zara则nasi
  - 规则geko：若zara则nasi
  - 规则zeru：若nasi和zara则tivi
  - 规则godi：若zara和geri则tivi
  - 规则boni：若tugi和tivi则pova
  - 规则ruta：若geri和nasi则tugi
  - 规则rape：若geri和tivi则pova
的引理是that大多数shortens这证明什么？

公理:事実:zara; 事実:tumi; 事実:pigu.
候補者:k0geriレンマ; k1nasiレンマ; k2tiviレンマ; k3tugiレンマ.
目標:pova.
規則:
  - 規則pupa:もし...nasiとpiguそれからgeri
  - 規則buki:もし...tumiとzaraそれからnasi
  - 規則geko:もし...zaraそれからnasi
  - 規則zeru:もし...nasiとzaraそれからtivi
  - 規則godi:もし...zaraとgeriそれからtivi
  - 規則boni:もし...tugiとtiviそれからpova
  - 規則ruta:もし...geriとnasiそれからtugi
  - 規則rape:もし...geriとtiviそれからpova
レンマその大部分shortens証拠何と?

Belitler: olgu: zara; olgu: tumi; olgu: pigu.
Adaylar: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Hedef pova.
Kurallar:
  - kural pupa: eğer nasi ve pigu ise geri
  - kural buki: eğer tumi ve zara ise nasi
  - kural geko: eğer zara ise nasi
  - kural zeru: eğer nasi ve zara ise tivi
  - kural godi: eğer zara ve geri ise tivi
  - kural boni: eğer tugi ve tivi ise pova
  - kural ruta: eğer geri ve nasi ise tugi
  - kural rape: eğer geri ve tivi ise pova
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة zara؛ مَعْلُومَة tumi؛ مَعْلُومَة pigu.
مُرَشَّح: سُدَّة k0 geri؛ سُدَّة k1 nasi؛ سُدَّة k2 tivi؛ سُدَّة k3 tugi.
هَدَف: pova.
قَانُون:
  - قَانُون pupa: geri إِنْ nasi وَـ pigu
  - قَانُون buki: nasi إِنْ tumi وَـ zara
  - قَانُون geko: nasi إِنْ zara
  - قَانُون zeru: tivi إِنْ nasi وَـ zara
  - قَانُون godi: tivi إِنْ zara وَـ geri
  - قَانُون boni: pova إِنْ tugi وَـ tivi
  - قَانُون ruta: tugi إِنْ geri وَـ nasi
  - قَانُون rape: pova إِنْ geri وَـ tivi
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი zara; ფაქტი tumi; ფაქტი pigu.
Კანდიდატები: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Მიზანი: pova.
Წესი:
  - წესი pupa: თუ nasi და pigu მერე geri
  - წესი buki: თუ tumi და zara მერე nasi
  - წესი geko: თუ zara მერე nasi
  - წესი zeru: თუ nasi და zara მერე tivi
  - წესი godi: თუ zara და geri მერე tivi
  - წესი boni: თუ tugi და tivi მერე pova
  - წესი ruta: თუ geri და nasi მერე tugi
  - წესი rape: თუ geri და tivi მერე pova
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka zara; meka tumi; meka pigu.
Kaiwhakauru: lemma k0 geri; lemma k1 nasi; lemma k2 tivi; lemma k3 tugi.
Hemonga: pova.
Rekureihana:
  - rekureihana pupa: geri mēnā nasi me pigu
  - rekureihana buki: nasi mēnā tumi me zara
  - rekureihana geko: nasi mēnā zara
  - rekureihana zeru: tivi mēnā nasi me zara
  - rekureihana godi: tivi mēnā zara me geri
  - rekureihana boni: pova mēnā tugi me tivi
  - rekureihana ruta: tugi mēnā geri me nasi
  - rekureihana rape: pova mēnā geri me tivi
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật zara; sự thật tumi; sự thật pigu.
Candidates: k0 mục từ geri; k1 mục từ nasi; k2 mục từ tivi; k3 mục từ tugi.
Mục tiêu: pova.
Quy tắc:
  - rule pupa: geri nếu nasi và pigu
  - rule buki: nasi nếu tumi và zara
  - rule geko: nasi nếu zara
  - rule zeru: tivi nếu nasi và zara
  - rule godi: tivi nếu zara và geri
  - rule boni: pova nếu tugi và tivi
  - rule ruta: tugi nếu geri và nasi
  - rule rape: pova nếu geri và tivi
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:zara; ข้อเท็จจริง:tumi; ข้อเท็จจริง:pigu.
ผู้สมัคร:k0lemmageri; k1lemmanasi; k2lemmativi; k3lemmatugi.
เป้าหมาย:pova.
กฎ:
  - กฎpupa:gerinasiและpigu
  - กฎbuki:nasitumiและzara
  - กฎgeko:nasizara
  - กฎzeru:tivinasiและzara
  - กฎgodi:tivizaraและgeri
  - กฎboni:povatugiและtivi
  - กฎruta:tugigeriและnasi
  - กฎrape:povageriและtivi
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact zara; fact tumi; fact pigu.
வேட்பாளர்: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
goal: pova.
rules:
  - ஆள் pupa: என்றால் nasi மற்றும் pigu geri
  - ஆள் buki: என்றால் tumi மற்றும் zara nasi
  - ஆள் geko: என்றால் zara nasi
  - ஆள் zeru: என்றால் nasi மற்றும் zara tivi
  - ஆள் godi: என்றால் zara மற்றும் geri tivi
  - ஆள் boni: என்றால் tugi மற்றும் tivi pova
  - ஆள் ruta: என்றால் geri மற்றும் nasi tugi
  - ஆள் rape: என்றால் geri மற்றும் tivi pova
lemma எப்படி most shortens proof என்ன?

Axioms: fact: zara; fact: tumi; fact: pigu.
Wagombea ni: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Lengo ni pova.
Sheria ni:
  - kanuni pupa: kama nasi na pigu basi geri
  - kanuni buki: kama tumi na zara basi nasi
  - kanuni geko: kama zara basi nasi
  - kanuni zeru: kama nasi na zara basi tivi
  - kanuni godi: kama zara na geri basi tivi
  - kanuni boni: kama tugi na tivi basi pova
  - kanuni ruta: kama geri na nasi basi tugi
  - kanuni rape: kama geri na tivi basi pova
Lemma that wengi shortens proof nini?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Bee hazʼáanii:
  - rule pupa: ládą́ą́ʼ nasi dóó pigu índa geri
  - rule buki: ládą́ą́ʼ tumi dóó zara índa nasi
  - rule geko: ládą́ą́ʼ zara índa nasi
  - rule zeru: ládą́ą́ʼ nasi dóó zara índa tivi
  - rule godi: ládą́ą́ʼ zara dóó geri índa tivi
  - rule boni: ládą́ą́ʼ tugi dóó tivi índa pova
  - rule ruta: ládą́ą́ʼ geri dóó nasi índa tugi
  - rule rape: ládą́ą́ʼ geri dóó tivi índa pova
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi aamma pigu geri
  - rule buki: tumi aamma zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi aamma zara tivi
  - rule godi: zara aamma geri tivi
  - rule boni: tugi aamma tivi pova
  - rule ruta: geri aamma nasi tugi
  - rule rape: geri aamma tivi pova
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri sapos nasi na pigu
  - rule buki: nasi sapos tumi na zara
  - rule geko: nasi sapos zara
  - rule zeru: tivi sapos nasi na zara
  - rule godi: tivi sapos zara na geri
  - rule boni: pova sapos tugi na tivi
  - rule ruta: tugi sapos geri na nasi
  - rule rape: pova sapos geri na tivi
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Nikanixi:
  - nikanixi pupa: geri nasi pigu
  - nikanixi buki: nasi tumi zara
  - nikanixi geko: nasi zara
  - nikanixi zeru: tivi nasi zara
  - nikanixi godi: tivi zara geri
  - nikanixi boni: pova tugi tivi
  - nikanixi ruta: tugi geri nasi
  - nikanixi rape: pova geri tivi
Lemma that most shortens proof kwèch?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi а pigu
  - rule buki: nasi tumi а zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi а zara
  - rule godi: tivi zara а geri
  - rule boni: pova tugi а tivi
  - rule ruta: tugi geri а nasi
  - rule rape: pova geri а tivi
Lemma that most shortens proof фу?

공리: 사실 zara; 사실 tumi; 사실 pigu.
후보자: k0 geri 올림말; k1 nasi 올림말; k2 tivi 올림말; k3 tugi 올림말.
목표: pova.
규칙:
  - 규칙 pupa: 만약 nasi pigu 나중에 geri
  - 규칙 buki: 만약 tumi zara 나중에 nasi
  - 규칙 geko: 만약 zara 나중에 nasi
  - 규칙 zeru: 만약 nasi zara 나중에 tivi
  - 규칙 godi: 만약 zara geri 나중에 tivi
  - 규칙 boni: 만약 tugi tivi 나중에 pova
  - 규칙 ruta: 만약 geri nasi 나중에 tugi
  - 규칙 rape: 만약 geri tivi 나중에 pova
올림말 그 가장 shortens 증거 무엇?

Axioms: fact zara; fact tumi; fact pigu.
Kandidatu: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Helburu: pova.
Arau:
  - arau pupa: nasi eta pigu geri
  - arau buki: tumi eta zara nasi
  - arau geko: zara nasi
  - arau zeru: nasi eta zara tivi
  - arau godi: zara eta geri tivi
  - arau boni: tugi eta tivi pova
  - arau ruta: geri eta nasi tugi
  - arau rape: geri eta tivi pova
Lemma hura most shortens the proof zer?

Axioms: fact zara; fact tumi; fact pigu.
ᎠᏙᎩᏯᏍᎩ: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi ᎠᎴ pigu
  - rule buki: nasi tumi ᎠᎴ zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi ᎠᎴ zara
  - rule godi: tivi zara ᎠᎴ geri
  - rule boni: pova tugi ᎠᎴ tivi
  - rule ruta: tugi geri ᎠᎴ nasi
  - rule rape: pova geri ᎠᎴ tivi
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma chay most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi ыкӏи pigu geri
  - rule buki: tumi ыкӏи zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi ыкӏи zara tivi
  - rule godi: zara ыкӏи geri tivi
  - rule boni: tugi ыкӏи tivi pova
  - rule ruta: geri ыкӏи nasi tugi
  - rule rape: geri ыкӏи tivi pova
Lemma that most shortens the proof сыд?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Cai:
  - cai pupa: geri nasi thiab pigu
  - cai buki: nasi tumi thiab zara
  - cai geko: nasi zara
  - cai zeru: tivi nasi thiab zara
  - cai godi: tivi zara thiab geri
  - cai boni: pova tugi thiab tivi
  - cai ruta: tugi geri thiab nasi
  - cai rape: pova geri thiab tivi
Lemma qhov ntawd most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma that most shortens proof ining-jak?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi micha' pigu
  - rule buki: nasi tumi micha' zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi micha' zara
  - rule godi: tivi zara micha' geri
  - rule boni: pova tugi micha' tivi
  - rule ruta: tugi geri micha' nasi
  - rule rape: pova geri micha' tivi
Lemma that most shortens proof nanta?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi カ pigu geri
  - rule buki: tumi カ zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi カ zara tivi
  - rule godi: zara カ geri tivi
  - rule boni: tugi カ tivi pova
  - rule ruta: geri カ nasi tugi
  - rule rape: geri カ tivi pova
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri эвыр nasi ынкъам pigu
  - rule buki: nasi эвыр tumi ынкъам zara
  - rule geko: nasi эвыр zara
  - rule zeru: tivi эвыр nasi ынкъам zara
  - rule godi: tivi эвыр zara ынкъам geri
  - rule boni: pova эвыр tugi ынкъам tivi
  - rule ruta: tugi эвыр geri ынкъам nasi
  - rule rape: pova эвыр geri ынкъам tivi
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri wa nasi yéetel pigu
  - rule buki: nasi wa tumi yéetel zara
  - rule geko: nasi wa zara
  - rule zeru: tivi wa nasi yéetel zara
  - rule godi: tivi wa zara yéetel geri
  - rule boni: pova wa tugi yéetel tivi
  - rule ruta: tugi wa geri yéetel nasi
  - rule rape: pova wa geri yéetel tivi
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma that most shortens proof híli?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi na pigu geri
  - rule buki: tumi na zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi na zara tivi
  - rule godi: zara na geri tivi
  - rule boni: tugi na tivi pova
  - rule ruta: geri na nasi tugi
  - rule rape: geri na tivi pova
Lemma that most shortens the proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma that most shortens the proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi pigu geri
  - rule buki: tumi zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi zara tivi
  - rule godi: zara geri tivi
  - rule boni: tugi tivi pova
  - rule ruta: geri nasi tugi
  - rule rape: geri tivi pova
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi ǂʻá pigu
  - rule buki: nasi tumi ǂʻá zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi ǂʻá zara
  - rule godi: tivi zara ǂʻá geri
  - rule boni: pova tugi ǂʻá tivi
  - rule ruta: tugi geri ǂʻá nasi
  - rule rape: pova geri ǂʻá tivi
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi pigu geri
  - rule buki: tumi zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi zara tivi
  - rule godi: zara geri tivi
  - rule boni: tugi tivi pova
  - rule ruta: geri nasi tugi
  - rule rape: geri tivi pova
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi pigu geri
  - rule buki: tumi zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi zara tivi
  - rule godi: zara geri tivi
  - rule boni: tugi tivi pova
  - rule ruta: geri nasi tugi
  - rule rape: geri tivi pova
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma that most shortens the proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma that most shortens ne proof tay?

Axiomes : fait zara ; fait tumi ; fait pigu.
Les candidats sont : k0 lemme geri ; k1 lemme nasi ; k2 lemme tivi ; k3 lemme tugi.
Objectif : pova.
Les règles sont:
  - règle pupa: geri si nasi et pigu
  - règle buki: nasi si tumi et zara
  - règle geko: nasi si zara
  - règle zeru: tivi si nasi et zara
  - règle godi: tivi si zara et geri
  - règle boni: pova si tugi et tivi
  - règle ruta: tugi si geri et nasi
  - règle rape: pova si geri et tivi
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto zara; fakto tumi; fakto pigu.
Kandidato: k0 lemo geri; k1 lemo nasi; k2 lemo tivi; k3 lemo tugi.
Celo: pova.
Regulo:
  - regulo pupa: geri se nasi kaj pigu
  - regulo buki: nasi se tumi kaj zara
  - regulo geko: nasi se zara
  - regulo zeru: tivi se nasi kaj zara
  - regulo godi: tivi se zara kaj geri
  - regulo boni: pova se tugi kaj tivi
  - regulo ruta: tugi se geri kaj nasi
  - regulo rape: pova se geri kaj tivi
Lemo ke plej shortens pruvo kio?

Axiómák: tény zara; tény tumi; tény pigu.
Indulók: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Cél: pova.
Szabályok:
  - szabály pupa: geri ha nasi és pigu
  - szabály buki: nasi ha tumi és zara
  - szabály geko: nasi ha zara
  - szabály zeru: tivi ha nasi és zara
  - szabály godi: tivi ha zara és geri
  - szabály boni: pova ha tugi és tivi
  - szabály ruta: tugi ha geri és nasi
  - szabály rape: pova ha geri és tivi
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:zara; 事實:tumi; 事實:pigu.
候選人:k0lemmageri; k1lemmanasi; k2lemmativi; k3lemmatugi.
入波:pova.
rules:
  - rulepupa:geri要是nasi及pigu
  - rulebuki:nasi要是tumi及zara
  - rulegeko:nasi要是zara
  - rulezeru:tivi要是nasi及zara
  - rulegodi:tivi要是zara及geri
  - ruleboni:pova要是tugi及tivi
  - ruleruta:tugi要是geri及nasi
  - rulerape:pova要是geri及tivi
lemma嘅多數shortensproof乜嘢?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi とぅ pigu
  - rule buki: nasi tumi とぅ zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi とぅ zara
  - rule godi: tivi zara とぅ geri
  - rule boni: pova tugi とぅ tivi
  - rule ruta: tugi geri とぅ nasi
  - rule rape: pova geri とぅ tivi
Lemma that most shortens proof what?

Аксиома: факт zara; факт tumi; факт pigu.
Үміткер: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Мақсат: pova.
Ереже:
  - ереже pupa: geri егер nasi және pigu
  - ереже buki: nasi егер tumi және zara
  - ереже geko: nasi егер zara
  - ереже zeru: tivi егер nasi және zara
  - ереже godi: tivi егер zara және geri
  - ереже boni: pova егер tugi және tivi
  - ереже ruta: tugi егер geri және nasi
  - ереже rape: pova егер geri және tivi
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה zara; עובדה tumi; עובדה pigu.
מועמדת: k0 למה geri; k1 למה nasi; k2 למה tivi; k3 למה tugi.
מַטָּרָה: pova.
מָשַׁל:
  - מָשַׁל pupa: geri אִם nasi וְ־ pigu
  - מָשַׁל buki: nasi אִם tumi וְ־ zara
  - מָשַׁל geko: nasi אִם zara
  - מָשַׁל zeru: tivi אִם nasi וְ־ zara
  - מָשַׁל godi: tivi אִם zara וְ־ geri
  - מָשַׁל boni: pova אִם tugi וְ־ tivi
  - מָשַׁל ruta: tugi אִם geri וְ־ nasi
  - מָשַׁל rape: pova אִם geri וְ־ tivi
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi დო pigu
  - rule buki: nasi tumi დო zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi დო zara
  - rule godi: tivi zara დო geri
  - rule boni: pova tugi დო tivi
  - rule ruta: tugi geri დო nasi
  - rule rape: pova geri დო tivi
Lemma that most shortens proof what?

Aksioma-aksioma: fact zara; fact tumi; fact pigu.
Kandidat: k0 lema geri; k1 lema nasi; k2 lema tivi; k3 lema tugi.
Tujuan: pova.
Rules:
  - rule pupa: geri jika nasi dan pigu
  - rule buki: nasi jika tumi dan zara
  - rule geko: nasi jika zara
  - rule zeru: tivi jika nasi dan zara
  - rule godi: tivi jika zara dan geri
  - rule boni: pova jika tugi dan tivi
  - rule ruta: tugi jika geri dan nasi
  - rule rape: pova jika geri dan tivi
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:zara; fact:tumi; fact:pigu.
បេក្ខជន:k0lemmageri; k1lemmanasi; k2lemmativi; k3lemmatugi.
ទិស:pova.
ក្បួន:
  - ក្បួនpupa:geriបើnasiនឹងpigu
  - ក្បួនbuki:nasiបើtumiនឹងzara
  - ក្បួនgeko:nasiបើzara
  - ក្បួនzeru:tiviបើnasiនឹងzara
  - ក្បួនgodi:tiviបើzaraនឹងgeri
  - ក្បួនboni:povaបើtugiនឹងtivi
  - ក្បួនruta:tugiបើgeriនឹងnasi
  - ក្បួនrape:povaបើgeriនឹងtivi
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:zara; fact:tumi; fact:pigu.
ຜູ້ສະໝັກ:k0lemmageri; k1lemmanasi; k2lemmativi; k3lemmatugi.
ເປົ້າໝາຍ:pova.
ກະຕິກາ:
  - ກະຕິກາpupa:geriຖ້າnasiແລະpigu
  - ກະຕິກາbuki:nasiຖ້າtumiແລະzara
  - ກະຕິກາgeko:nasiຖ້າzara
  - ກະຕິກາzeru:tiviຖ້າnasiແລະzara
  - ກະຕິກາgodi:tiviຖ້າzaraແລະgeri
  - ກະຕິກາboni:povaຖ້າtugiແລະtivi
  - ກະຕິກາruta:tugiຖ້າgeriແລະnasi
  - ກະຕິກາrape:povaຖ້າgeriແລະtivi
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి zara; నిజానికి tumi; నిజానికి pigu.
candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
లక్ష్యం: pova.
నియమం:
  - నియమం pupa: అయితే nasi మరియు pigu అప్పుడు geri
  - నియమం buki: అయితే tumi మరియు zara అప్పుడు nasi
  - నియమం geko: అయితే zara అప్పుడు nasi
  - నియమం zeru: అయితే nasi మరియు zara అప్పుడు tivi
  - నియమం godi: అయితే zara మరియు geri అప్పుడు tivi
  - నియమం boni: అయితే tugi మరియు tivi అప్పుడు pova
  - నియమం ruta: అయితే geri మరియు nasi అప్పుడు tugi
  - నియమం rape: అయితే geri మరియు tivi అప్పుడు pova
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
What lemma that most shortens proof?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi pigu geri
  - rule buki: tumi zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi zara tivi
  - rule godi: zara geri tivi
  - rule boni: tugi tivi pova
  - rule ruta: geri nasi tugi
  - rule rape: geri tivi pova
Lemma that most shortens the proof what?

axioms: fact zara; fact tumi; fact pigu.
candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
goal: pova.
rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 lemma geri; k1 lemma nasi; k2 lemma tivi; k3 lemma tugi.
Goal: pova.
Rules:
  - rule pupa: geri nasi pigu
  - rule buki: nasi tumi zara
  - rule geko: nasi zara
  - rule zeru: tivi nasi zara
  - rule godi: tivi zara geri
  - rule boni: pova tugi tivi
  - rule ruta: tugi geri nasi
  - rule rape: pova geri tivi
Lemma that most shortens proof what?

Axioms: fact zara; fact tumi; fact pigu.
Candidates: k0 geri lemma; k1 nasi lemma; k2 tivi lemma; k3 tugi lemma.
Goal: pova.
Rules:
  - rule pupa: nasi pigu geri
  - rule buki: tumi zara nasi
  - rule geko: zara nasi
  - rule zeru: nasi zara tivi
  - rule godi: zara geri tivi
  - rule boni: tugi tivi pova
  - rule ruta: geri nasi tugi
  - rule rape: geri tivi pova
Lemma that most shortens proof вуч?

The axioms are: fact bige; fact bida; fact puno.
The candidates are: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
The goal is zusa.
The rules are:
  - rule vomu: bubu if mize and pume
  - rule ranu: kure if pume and mize
  - rule noki: zusa if bubu and pume
  - rule pena: mize if puno and bida
  - rule pibe: kure if bubu
  - rule kite: zusa if kure and pume
  - rule tera: bubu if pume
  - rule kuvo: pume if mize and bige
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: bige; el hecho: bida; el hecho: puno.
Los candidatos son: k0 el lema bubu; k1 el lema kure; k2 el lema mize; k3 el lema pume.
El objetivo es zusa.
Las reglas son:
  - regla vomu: bubu si mize y pume
  - regla ranu: kure si pume y mize
  - regla noki: zusa si bubu y pume
  - regla pena: mize si puno y bida
  - regla pibe: kure si bubu
  - regla kite: zusa si kure y pume
  - regla tera: bubu si pume
  - regla kuvo: pume si mize y bige
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：bige；事实：bida；事实：puno。
候选项如下：k0的引理是bubu；k1的引理是kure；k2的引理是mize；k3的引理是pume。
目标是zusa。
规则如下：
  - 规则vomu：若mize和pume则bubu
  - 规则ranu：若pume和mize则kure
  - 规则noki：若bubu和pume则zusa
  - 规则pena：若puno和bida则mize
  - 规则pibe：若bubu则kure
  - 规则kite：若kure和pume则zusa
  - 规则tera：若pume则bubu
  - 规则kuvo：若mize和bige则pume
的引理是that大多数shortens这证明什么？

Belitler: olgu: bige; olgu: bida; olgu: puno.
Adaylar: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Hedef zusa.
Kurallar:
  - kural vomu: eğer mize ve pume ise bubu
  - kural ranu: eğer pume ve mize ise kure
  - kural noki: eğer bubu ve pume ise zusa
  - kural pena: eğer puno ve bida ise mize
  - kural pibe: eğer bubu ise kure
  - kural kite: eğer kure ve pume ise zusa
  - kural tera: eğer pume ise bubu
  - kural kuvo: eğer mize ve bige ise pume
Lemma that çoğu shortens ispat ne?

Axioms: fact: bige; fact: bida; fact: puno.
Wagombea ni: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Lengo ni zusa.
Sheria ni:
  - kanuni vomu: kama mize na pume basi bubu
  - kanuni ranu: kama pume na mize basi kure
  - kanuni noki: kama bubu na pume basi zusa
  - kanuni pena: kama puno na bida basi mize
  - kanuni pibe: kama bubu basi kure
  - kanuni kite: kama kure na pume basi zusa
  - kanuni tera: kama pume basi bubu
  - kanuni kuvo: kama mize na bige basi pume
Lemma that wengi shortens proof nini?

The axioms are: fact bige; fact bida; fact puno.
The candidates are: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
The goal is zusa.
The rules are:
  - rule vomu: bubu if mize and pume
  - rule ranu: kure if pume and mize
  - rule noki: zusa if bubu and pume
  - rule pena: mize if puno and bida
  - rule pibe: kure if bubu
  - rule kite: zusa if kure and pume
  - rule tera: bubu if pume
  - rule kuvo: pume if mize and bige
What is the lemma that most shortens the proof?

{axioms: [(fact bige) (fact bida) (fact puno)], candidates: [(lemma k0 bubu) (lemma k1 kure) (lemma k2 mize) (lemma k3 pume)], goal: zusa, query: lemma_that_most_shortens_the_proof, rules: [(rule vomu bubu [mize pume]) (rule ranu kure [pume mize]) (rule noki zusa [bubu pume]) (rule pena mize [puno bida]) (rule pibe kure [bubu]) (rule kite zusa [kure pume]) (rule tera bubu [pume]) (rule kuvo pume [mize bige])]}

Axiome: Tatsache bige; Tatsache bida; Tatsache puno.
Die Kandidaten sind: k0 Lemma bubu; k1 Lemma kure; k2 Lemma mize; k3 Lemma pume.
Ziel: zusa.
Die Regeln sind:
  - Regel vomu: bubu wenn mize und pume
  - Regel ranu: kure wenn pume und mize
  - Regel noki: zusa wenn bubu und pume
  - Regel pena: mize wenn puno und bida
  - Regel pibe: kure wenn bubu
  - Regel kite: zusa wenn kure und pume
  - Regel tera: bubu wenn pume
  - Regel kuvo: pume wenn mize und bige
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница bige; чи̏њеница bida; чи̏њеница puno.
Кандѝда̄т: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Ци̑љ: zusa.
Пра̏вило:
  - пра̏вило vomu: bubu ȁko mize и pume
  - пра̏вило ranu: kure ȁko pume и mize
  - пра̏вило noki: zusa ȁko bubu и pume
  - пра̏вило pena: mize ȁko puno и bida
  - пра̏вило pibe: kure ȁko bubu
  - пра̏вило kite: zusa ȁko kure и pume
  - пра̏вило tera: bubu ȁko pume
  - пра̏вило kuvo: pume ȁko mize и bige
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia bige; tosiasia bida; tosiasia puno.
Ehdokkaat: k0 perusmuoto bubu; k1 perusmuoto kure; k2 perusmuoto mize; k3 perusmuoto pume.
Päämäärä: zusa.
Säännöt:
  - sääntö vomu: bubu jos mize ja pume
  - sääntö ranu: kure jos pume ja mize
  - sääntö noki: zusa jos bubu ja pume
  - sääntö pena: mize jos puno ja bida
  - sääntö pibe: kure jos bubu
  - sääntö kite: zusa jos kure ja pume
  - sääntö tera: bubu jos pume
  - sääntö kuvo: pume jos mize ja bige
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：bige；事实：bida；事实：puno。
候选项如下：k0的引理是bubu；k1的引理是kure；k2的引理是mize；k3的引理是pume。
目标是zusa。
规则如下：
  - 规则vomu：若mize和pume则bubu
  - 规则ranu：若pume和mize则kure
  - 规则noki：若bubu和pume则zusa
  - 规则pena：若puno和bida则mize
  - 规则pibe：若bubu则kure
  - 规则kite：若kure和pume则zusa
  - 规则tera：若pume则bubu
  - 规则kuvo：若mize和bige则pume
的引理是that大多数shortens这证明什么？

公理:事実:bige; 事実:bida; 事実:puno.
候補者:k0bubuレンマ; k1kureレンマ; k2mizeレンマ; k3pumeレンマ.
目標:zusa.
規則:
  - 規則vomu:もし...mizeとpumeそれからbubu
  - 規則ranu:もし...pumeとmizeそれからkure
  - 規則noki:もし...bubuとpumeそれからzusa
  - 規則pena:もし...punoとbidaそれからmize
  - 規則pibe:もし...bubuそれからkure
  - 規則kite:もし...kureとpumeそれからzusa
  - 規則tera:もし...pumeそれからbubu
  - 規則kuvo:もし...mizeとbigeそれからpume
レンマその大部分shortens証拠何と?

Belitler: olgu: bige; olgu: bida; olgu: puno.
Adaylar: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Hedef zusa.
Kurallar:
  - kural vomu: eğer mize ve pume ise bubu
  - kural ranu: eğer pume ve mize ise kure
  - kural noki: eğer bubu ve pume ise zusa
  - kural pena: eğer puno ve bida ise mize
  - kural pibe: eğer bubu ise kure
  - kural kite: eğer kure ve pume ise zusa
  - kural tera: eğer pume ise bubu
  - kural kuvo: eğer mize ve bige ise pume
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة bige؛ مَعْلُومَة bida؛ مَعْلُومَة puno.
مُرَشَّح: سُدَّة k0 bubu؛ سُدَّة k1 kure؛ سُدَّة k2 mize؛ سُدَّة k3 pume.
هَدَف: zusa.
قَانُون:
  - قَانُون vomu: bubu إِنْ mize وَـ pume
  - قَانُون ranu: kure إِنْ pume وَـ mize
  - قَانُون noki: zusa إِنْ bubu وَـ pume
  - قَانُون pena: mize إِنْ puno وَـ bida
  - قَانُون pibe: kure إِنْ bubu
  - قَانُون kite: zusa إِنْ kure وَـ pume
  - قَانُون tera: bubu إِنْ pume
  - قَانُون kuvo: pume إِنْ mize وَـ bige
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი bige; ფაქტი bida; ფაქტი puno.
Კანდიდატები: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Მიზანი: zusa.
Წესი:
  - წესი vomu: თუ mize და pume მერე bubu
  - წესი ranu: თუ pume და mize მერე kure
  - წესი noki: თუ bubu და pume მერე zusa
  - წესი pena: თუ puno და bida მერე mize
  - წესი pibe: თუ bubu მერე kure
  - წესი kite: თუ kure და pume მერე zusa
  - წესი tera: თუ pume მერე bubu
  - წესი kuvo: თუ mize და bige მერე pume
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka bige; meka bida; meka puno.
Kaiwhakauru: lemma k0 bubu; lemma k1 kure; lemma k2 mize; lemma k3 pume.
Hemonga: zusa.
Rekureihana:
  - rekureihana vomu: bubu mēnā mize me pume
  - rekureihana ranu: kure mēnā pume me mize
  - rekureihana noki: zusa mēnā bubu me pume
  - rekureihana pena: mize mēnā puno me bida
  - rekureihana pibe: kure mēnā bubu
  - rekureihana kite: zusa mēnā kure me pume
  - rekureihana tera: bubu mēnā pume
  - rekureihana kuvo: pume mēnā mize me bige
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật bige; sự thật bida; sự thật puno.
Candidates: k0 mục từ bubu; k1 mục từ kure; k2 mục từ mize; k3 mục từ pume.
Mục tiêu: zusa.
Quy tắc:
  - rule vomu: bubu nếu mize và pume
  - rule ranu: kure nếu pume và mize
  - rule noki: zusa nếu bubu và pume
  - rule pena: mize nếu puno và bida
  - rule pibe: kure nếu bubu
  - rule kite: zusa nếu kure và pume
  - rule tera: bubu nếu pume
  - rule kuvo: pume nếu mize và bige
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:bige; ข้อเท็จจริง:bida; ข้อเท็จจริง:puno.
ผู้สมัคร:k0lemmabubu; k1lemmakure; k2lemmamize; k3lemmapume.
เป้าหมาย:zusa.
กฎ:
  - กฎvomu:bubumizeและpume
  - กฎranu:kurepumeและmize
  - กฎnoki:zusabubuและpume
  - กฎpena:mizepunoและbida
  - กฎpibe:kurebubu
  - กฎkite:zusakureและpume
  - กฎtera:bubupume
  - กฎkuvo:pumemizeและbige
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact bige; fact bida; fact puno.
வேட்பாளர்: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
goal: zusa.
rules:
  - ஆள் vomu: என்றால் mize மற்றும் pume bubu
  - ஆள் ranu: என்றால் pume மற்றும் mize kure
  - ஆள் noki: என்றால் bubu மற்றும் pume zusa
  - ஆள் pena: என்றால் puno மற்றும் bida mize
  - ஆள் pibe: என்றால் bubu kure
  - ஆள் kite: என்றால் kure மற்றும் pume zusa
  - ஆள் tera: என்றால் pume bubu
  - ஆள் kuvo: என்றால் mize மற்றும் bige pume
lemma எப்படி most shortens proof என்ன?

Axioms: fact: bige; fact: bida; fact: puno.
Wagombea ni: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Lengo ni zusa.
Sheria ni:
  - kanuni vomu: kama mize na pume basi bubu
  - kanuni ranu: kama pume na mize basi kure
  - kanuni noki: kama bubu na pume basi zusa
  - kanuni pena: kama puno na bida basi mize
  - kanuni pibe: kama bubu basi kure
  - kanuni kite: kama kure na pume basi zusa
  - kanuni tera: kama pume basi bubu
  - kanuni kuvo: kama mize na bige basi pume
Lemma that wengi shortens proof nini?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Bee hazʼáanii:
  - rule vomu: ládą́ą́ʼ mize dóó pume índa bubu
  - rule ranu: ládą́ą́ʼ pume dóó mize índa kure
  - rule noki: ládą́ą́ʼ bubu dóó pume índa zusa
  - rule pena: ládą́ą́ʼ puno dóó bida índa mize
  - rule pibe: ládą́ą́ʼ bubu índa kure
  - rule kite: ládą́ą́ʼ kure dóó pume índa zusa
  - rule tera: ládą́ą́ʼ pume índa bubu
  - rule kuvo: ládą́ą́ʼ mize dóó bige índa pume
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize aamma pume bubu
  - rule ranu: pume aamma mize kure
  - rule noki: bubu aamma pume zusa
  - rule pena: puno aamma bida mize
  - rule pibe: bubu kure
  - rule kite: kure aamma pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize aamma bige pume
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu sapos mize na pume
  - rule ranu: kure sapos pume na mize
  - rule noki: zusa sapos bubu na pume
  - rule pena: mize sapos puno na bida
  - rule pibe: kure sapos bubu
  - rule kite: zusa sapos kure na pume
  - rule tera: bubu sapos pume
  - rule kuvo: pume sapos mize na bige
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Nikanixi:
  - nikanixi vomu: bubu mize pume
  - nikanixi ranu: kure pume mize
  - nikanixi noki: zusa bubu pume
  - nikanixi pena: mize puno bida
  - nikanixi pibe: kure bubu
  - nikanixi kite: zusa kure pume
  - nikanixi tera: bubu pume
  - nikanixi kuvo: pume mize bige
Lemma that most shortens proof kwèch?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize а pume
  - rule ranu: kure pume а mize
  - rule noki: zusa bubu а pume
  - rule pena: mize puno а bida
  - rule pibe: kure bubu
  - rule kite: zusa kure а pume
  - rule tera: bubu pume
  - rule kuvo: pume mize а bige
Lemma that most shortens proof фу?

공리: 사실 bige; 사실 bida; 사실 puno.
후보자: k0 bubu 올림말; k1 kure 올림말; k2 mize 올림말; k3 pume 올림말.
목표: zusa.
규칙:
  - 규칙 vomu: 만약 mize pume 나중에 bubu
  - 규칙 ranu: 만약 pume mize 나중에 kure
  - 규칙 noki: 만약 bubu pume 나중에 zusa
  - 규칙 pena: 만약 puno bida 나중에 mize
  - 규칙 pibe: 만약 bubu 나중에 kure
  - 규칙 kite: 만약 kure pume 나중에 zusa
  - 규칙 tera: 만약 pume 나중에 bubu
  - 규칙 kuvo: 만약 mize bige 나중에 pume
올림말 그 가장 shortens 증거 무엇?

Axioms: fact bige; fact bida; fact puno.
Kandidatu: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Helburu: zusa.
Arau:
  - arau vomu: mize eta pume bubu
  - arau ranu: pume eta mize kure
  - arau noki: bubu eta pume zusa
  - arau pena: puno eta bida mize
  - arau pibe: bubu kure
  - arau kite: kure eta pume zusa
  - arau tera: pume bubu
  - arau kuvo: mize eta bige pume
Lemma hura most shortens the proof zer?

Axioms: fact bige; fact bida; fact puno.
ᎠᏙᎩᏯᏍᎩ: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize ᎠᎴ pume
  - rule ranu: kure pume ᎠᎴ mize
  - rule noki: zusa bubu ᎠᎴ pume
  - rule pena: mize puno ᎠᎴ bida
  - rule pibe: kure bubu
  - rule kite: zusa kure ᎠᎴ pume
  - rule tera: bubu pume
  - rule kuvo: pume mize ᎠᎴ bige
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma chay most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize ыкӏи pume bubu
  - rule ranu: pume ыкӏи mize kure
  - rule noki: bubu ыкӏи pume zusa
  - rule pena: puno ыкӏи bida mize
  - rule pibe: bubu kure
  - rule kite: kure ыкӏи pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize ыкӏи bige pume
Lemma that most shortens the proof сыд?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Cai:
  - cai vomu: bubu mize thiab pume
  - cai ranu: kure pume thiab mize
  - cai noki: zusa bubu thiab pume
  - cai pena: mize puno thiab bida
  - cai pibe: kure bubu
  - cai kite: zusa kure thiab pume
  - cai tera: bubu pume
  - cai kuvo: pume mize thiab bige
Lemma qhov ntawd most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma that most shortens proof ining-jak?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize micha' pume
  - rule ranu: kure pume micha' mize
  - rule noki: zusa bubu micha' pume
  - rule pena: mize puno micha' bida
  - rule pibe: kure bubu
  - rule kite: zusa kure micha' pume
  - rule tera: bubu pume
  - rule kuvo: pume mize micha' bige
Lemma that most shortens proof nanta?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize カ pume bubu
  - rule ranu: pume カ mize kure
  - rule noki: bubu カ pume zusa
  - rule pena: puno カ bida mize
  - rule pibe: bubu kure
  - rule kite: kure カ pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize カ bige pume
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu эвыр mize ынкъам pume
  - rule ranu: kure эвыр pume ынкъам mize
  - rule noki: zusa эвыр bubu ынкъам pume
  - rule pena: mize эвыр puno ынкъам bida
  - rule pibe: kure эвыр bubu
  - rule kite: zusa эвыр kure ынкъам pume
  - rule tera: bubu эвыр pume
  - rule kuvo: pume эвыр mize ынкъам bige
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu wa mize yéetel pume
  - rule ranu: kure wa pume yéetel mize
  - rule noki: zusa wa bubu yéetel pume
  - rule pena: mize wa puno yéetel bida
  - rule pibe: kure wa bubu
  - rule kite: zusa wa kure yéetel pume
  - rule tera: bubu wa pume
  - rule kuvo: pume wa mize yéetel bige
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma that most shortens proof híli?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize na pume bubu
  - rule ranu: pume na mize kure
  - rule noki: bubu na pume zusa
  - rule pena: puno na bida mize
  - rule pibe: bubu kure
  - rule kite: kure na pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize na bige pume
Lemma that most shortens the proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma that most shortens the proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize pume bubu
  - rule ranu: pume mize kure
  - rule noki: bubu pume zusa
  - rule pena: puno bida mize
  - rule pibe: bubu kure
  - rule kite: kure pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize bige pume
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize ǂʻá pume
  - rule ranu: kure pume ǂʻá mize
  - rule noki: zusa bubu ǂʻá pume
  - rule pena: mize puno ǂʻá bida
  - rule pibe: kure bubu
  - rule kite: zusa kure ǂʻá pume
  - rule tera: bubu pume
  - rule kuvo: pume mize ǂʻá bige
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize pume bubu
  - rule ranu: pume mize kure
  - rule noki: bubu pume zusa
  - rule pena: puno bida mize
  - rule pibe: bubu kure
  - rule kite: kure pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize bige pume
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize pume bubu
  - rule ranu: pume mize kure
  - rule noki: bubu pume zusa
  - rule pena: puno bida mize
  - rule pibe: bubu kure
  - rule kite: kure pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize bige pume
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma that most shortens the proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma that most shortens ne proof tay?

Axiomes : fait bige ; fait bida ; fait puno.
Les candidats sont : k0 lemme bubu ; k1 lemme kure ; k2 lemme mize ; k3 lemme pume.
Objectif : zusa.
Les règles sont:
  - règle vomu: bubu si mize et pume
  - règle ranu: kure si pume et mize
  - règle noki: zusa si bubu et pume
  - règle pena: mize si puno et bida
  - règle pibe: kure si bubu
  - règle kite: zusa si kure et pume
  - règle tera: bubu si pume
  - règle kuvo: pume si mize et bige
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto bige; fakto bida; fakto puno.
Kandidato: k0 lemo bubu; k1 lemo kure; k2 lemo mize; k3 lemo pume.
Celo: zusa.
Regulo:
  - regulo vomu: bubu se mize kaj pume
  - regulo ranu: kure se pume kaj mize
  - regulo noki: zusa se bubu kaj pume
  - regulo pena: mize se puno kaj bida
  - regulo pibe: kure se bubu
  - regulo kite: zusa se kure kaj pume
  - regulo tera: bubu se pume
  - regulo kuvo: pume se mize kaj bige
Lemo ke plej shortens pruvo kio?

Axiómák: tény bige; tény bida; tény puno.
Indulók: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Cél: zusa.
Szabályok:
  - szabály vomu: bubu ha mize és pume
  - szabály ranu: kure ha pume és mize
  - szabály noki: zusa ha bubu és pume
  - szabály pena: mize ha puno és bida
  - szabály pibe: kure ha bubu
  - szabály kite: zusa ha kure és pume
  - szabály tera: bubu ha pume
  - szabály kuvo: pume ha mize és bige
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:bige; 事實:bida; 事實:puno.
候選人:k0lemmabubu; k1lemmakure; k2lemmamize; k3lemmapume.
入波:zusa.
rules:
  - rulevomu:bubu要是mize及pume
  - ruleranu:kure要是pume及mize
  - rulenoki:zusa要是bubu及pume
  - rulepena:mize要是puno及bida
  - rulepibe:kure要是bubu
  - rulekite:zusa要是kure及pume
  - ruletera:bubu要是pume
  - rulekuvo:pume要是mize及bige
lemma嘅多數shortensproof乜嘢?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize とぅ pume
  - rule ranu: kure pume とぅ mize
  - rule noki: zusa bubu とぅ pume
  - rule pena: mize puno とぅ bida
  - rule pibe: kure bubu
  - rule kite: zusa kure とぅ pume
  - rule tera: bubu pume
  - rule kuvo: pume mize とぅ bige
Lemma that most shortens proof what?

Аксиома: факт bige; факт bida; факт puno.
Үміткер: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Мақсат: zusa.
Ереже:
  - ереже vomu: bubu егер mize және pume
  - ереже ranu: kure егер pume және mize
  - ереже noki: zusa егер bubu және pume
  - ереже pena: mize егер puno және bida
  - ереже pibe: kure егер bubu
  - ереже kite: zusa егер kure және pume
  - ереже tera: bubu егер pume
  - ереже kuvo: pume егер mize және bige
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה bige; עובדה bida; עובדה puno.
מועמדת: k0 למה bubu; k1 למה kure; k2 למה mize; k3 למה pume.
מַטָּרָה: zusa.
מָשַׁל:
  - מָשַׁל vomu: bubu אִם mize וְ־ pume
  - מָשַׁל ranu: kure אִם pume וְ־ mize
  - מָשַׁל noki: zusa אִם bubu וְ־ pume
  - מָשַׁל pena: mize אִם puno וְ־ bida
  - מָשַׁל pibe: kure אִם bubu
  - מָשַׁל kite: zusa אִם kure וְ־ pume
  - מָשַׁל tera: bubu אִם pume
  - מָשַׁל kuvo: pume אִם mize וְ־ bige
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize დო pume
  - rule ranu: kure pume დო mize
  - rule noki: zusa bubu დო pume
  - rule pena: mize puno დო bida
  - rule pibe: kure bubu
  - rule kite: zusa kure დო pume
  - rule tera: bubu pume
  - rule kuvo: pume mize დო bige
Lemma that most shortens proof what?

Aksioma-aksioma: fact bige; fact bida; fact puno.
Kandidat: k0 lema bubu; k1 lema kure; k2 lema mize; k3 lema pume.
Tujuan: zusa.
Rules:
  - rule vomu: bubu jika mize dan pume
  - rule ranu: kure jika pume dan mize
  - rule noki: zusa jika bubu dan pume
  - rule pena: mize jika puno dan bida
  - rule pibe: kure jika bubu
  - rule kite: zusa jika kure dan pume
  - rule tera: bubu jika pume
  - rule kuvo: pume jika mize dan bige
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:bige; fact:bida; fact:puno.
បេក្ខជន:k0lemmabubu; k1lemmakure; k2lemmamize; k3lemmapume.
ទិស:zusa.
ក្បួន:
  - ក្បួនvomu:bubuបើmizeនឹងpume
  - ក្បួនranu:kureបើpumeនឹងmize
  - ក្បួនnoki:zusaបើbubuនឹងpume
  - ក្បួនpena:mizeបើpunoនឹងbida
  - ក្បួនpibe:kureបើbubu
  - ក្បួនkite:zusaបើkureនឹងpume
  - ក្បួនtera:bubuបើpume
  - ក្បួនkuvo:pumeបើmizeនឹងbige
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:bige; fact:bida; fact:puno.
ຜູ້ສະໝັກ:k0lemmabubu; k1lemmakure; k2lemmamize; k3lemmapume.
ເປົ້າໝາຍ:zusa.
ກະຕິກາ:
  - ກະຕິກາvomu:bubuຖ້າmizeແລະpume
  - ກະຕິກາranu:kureຖ້າpumeແລະmize
  - ກະຕິກາnoki:zusaຖ້າbubuແລະpume
  - ກະຕິກາpena:mizeຖ້າpunoແລະbida
  - ກະຕິກາpibe:kureຖ້າbubu
  - ກະຕິກາkite:zusaຖ້າkureແລະpume
  - ກະຕິກາtera:bubuຖ້າpume
  - ກະຕິກາkuvo:pumeຖ້າmizeແລະbige
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి bige; నిజానికి bida; నిజానికి puno.
candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
లక్ష్యం: zusa.
నియమం:
  - నియమం vomu: అయితే mize మరియు pume అప్పుడు bubu
  - నియమం ranu: అయితే pume మరియు mize అప్పుడు kure
  - నియమం noki: అయితే bubu మరియు pume అప్పుడు zusa
  - నియమం pena: అయితే puno మరియు bida అప్పుడు mize
  - నియమం pibe: అయితే bubu అప్పుడు kure
  - నియమం kite: అయితే kure మరియు pume అప్పుడు zusa
  - నియమం tera: అయితే pume అప్పుడు bubu
  - నియమం kuvo: అయితే mize మరియు bige అప్పుడు pume
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
What lemma that most shortens proof?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize pume bubu
  - rule ranu: pume mize kure
  - rule noki: bubu pume zusa
  - rule pena: puno bida mize
  - rule pibe: bubu kure
  - rule kite: kure pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize bige pume
Lemma that most shortens the proof what?

axioms: fact bige; fact bida; fact puno.
candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
goal: zusa.
rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 lemma bubu; k1 lemma kure; k2 lemma mize; k3 lemma pume.
Goal: zusa.
Rules:
  - rule vomu: bubu mize pume
  - rule ranu: kure pume mize
  - rule noki: zusa bubu pume
  - rule pena: mize puno bida
  - rule pibe: kure bubu
  - rule kite: zusa kure pume
  - rule tera: bubu pume
  - rule kuvo: pume mize bige
Lemma that most shortens proof what?

Axioms: fact bige; fact bida; fact puno.
Candidates: k0 bubu lemma; k1 kure lemma; k2 mize lemma; k3 pume lemma.
Goal: zusa.
Rules:
  - rule vomu: mize pume bubu
  - rule ranu: pume mize kure
  - rule noki: bubu pume zusa
  - rule pena: puno bida mize
  - rule pibe: bubu kure
  - rule kite: kure pume zusa
  - rule tera: pume bubu
  - rule kuvo: mize bige pume
Lemma that most shortens proof вуч?

The axioms are: fact tivo; fact vobo; fact kabu.
The candidates are: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
The goal is tiso.
The rules are:
  - rule sepa: niru if mire and kabu
  - rule dagi: rori if vobo
  - rule deso: pego if niru and rori
  - rule pezi: rori if vobo and mire
  - rule zatu: mire if kabu
  - rule dane: mire if vobo
  - rule resi: pego if rori and niru
  - rule dise: tiso if pego and niru
  - rule zume: tiso if pego
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: tivo; el hecho: vobo; el hecho: kabu.
Los candidatos son: k0 el lema niru; k1 el lema pego; k2 el lema rori; k3 el lema mire.
El objetivo es tiso.
Las reglas son:
  - regla sepa: niru si mire y kabu
  - regla dagi: rori si vobo
  - regla deso: pego si niru y rori
  - regla pezi: rori si vobo y mire
  - regla zatu: mire si kabu
  - regla dane: mire si vobo
  - regla resi: pego si rori y niru
  - regla dise: tiso si pego y niru
  - regla zume: tiso si pego
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：tivo；事实：vobo；事实：kabu。
候选项如下：k0的引理是niru；k1的引理是pego；k2的引理是rori；k3的引理是mire。
目标是tiso。
规则如下：
  - 规则sepa：若mire和kabu则niru
  - 规则dagi：若vobo则rori
  - 规则deso：若niru和rori则pego
  - 规则pezi：若vobo和mire则rori
  - 规则zatu：若kabu则mire
  - 规则dane：若vobo则mire
  - 规则resi：若rori和niru则pego
  - 规则dise：若pego和niru则tiso
  - 规则zume：若pego则tiso
的引理是that大多数shortens这证明什么？

Belitler: olgu: tivo; olgu: vobo; olgu: kabu.
Adaylar: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Hedef tiso.
Kurallar:
  - kural sepa: eğer mire ve kabu ise niru
  - kural dagi: eğer vobo ise rori
  - kural deso: eğer niru ve rori ise pego
  - kural pezi: eğer vobo ve mire ise rori
  - kural zatu: eğer kabu ise mire
  - kural dane: eğer vobo ise mire
  - kural resi: eğer rori ve niru ise pego
  - kural dise: eğer pego ve niru ise tiso
  - kural zume: eğer pego ise tiso
Lemma that çoğu shortens ispat ne?

Axioms: fact: tivo; fact: vobo; fact: kabu.
Wagombea ni: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Lengo ni tiso.
Sheria ni:
  - kanuni sepa: kama mire na kabu basi niru
  - kanuni dagi: kama vobo basi rori
  - kanuni deso: kama niru na rori basi pego
  - kanuni pezi: kama vobo na mire basi rori
  - kanuni zatu: kama kabu basi mire
  - kanuni dane: kama vobo basi mire
  - kanuni resi: kama rori na niru basi pego
  - kanuni dise: kama pego na niru basi tiso
  - kanuni zume: kama pego basi tiso
Lemma that wengi shortens proof nini?

The axioms are: fact tivo; fact vobo; fact kabu.
The candidates are: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
The goal is tiso.
The rules are:
  - rule sepa: niru if mire and kabu
  - rule dagi: rori if vobo
  - rule deso: pego if niru and rori
  - rule pezi: rori if vobo and mire
  - rule zatu: mire if kabu
  - rule dane: mire if vobo
  - rule resi: pego if rori and niru
  - rule dise: tiso if pego and niru
  - rule zume: tiso if pego
What is the lemma that most shortens the proof?

{axioms: [(fact tivo) (fact vobo) (fact kabu)], candidates: [(lemma k0 niru) (lemma k1 pego) (lemma k2 rori) (lemma k3 mire)], goal: tiso, query: lemma_that_most_shortens_the_proof, rules: [(rule sepa niru [mire kabu]) (rule dagi rori [vobo]) (rule deso pego [niru rori]) (rule pezi rori [vobo mire]) (rule zatu mire [kabu]) (rule dane mire [vobo]) (rule resi pego [rori niru]) (rule dise tiso [pego niru]) (rule zume tiso [pego])]}

Axiome: Tatsache tivo; Tatsache vobo; Tatsache kabu.
Die Kandidaten sind: k0 Lemma niru; k1 Lemma pego; k2 Lemma rori; k3 Lemma mire.
Ziel: tiso.
Die Regeln sind:
  - Regel sepa: niru wenn mire und kabu
  - Regel dagi: rori wenn vobo
  - Regel deso: pego wenn niru und rori
  - Regel pezi: rori wenn vobo und mire
  - Regel zatu: mire wenn kabu
  - Regel dane: mire wenn vobo
  - Regel resi: pego wenn rori und niru
  - Regel dise: tiso wenn pego und niru
  - Regel zume: tiso wenn pego
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница tivo; чи̏њеница vobo; чи̏њеница kabu.
Кандѝда̄т: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Ци̑љ: tiso.
Пра̏вило:
  - пра̏вило sepa: niru ȁko mire и kabu
  - пра̏вило dagi: rori ȁko vobo
  - пра̏вило deso: pego ȁko niru и rori
  - пра̏вило pezi: rori ȁko vobo и mire
  - пра̏вило zatu: mire ȁko kabu
  - пра̏вило dane: mire ȁko vobo
  - пра̏вило resi: pego ȁko rori и niru
  - пра̏вило dise: tiso ȁko pego и niru
  - пра̏вило zume: tiso ȁko pego
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia tivo; tosiasia vobo; tosiasia kabu.
Ehdokkaat: k0 perusmuoto niru; k1 perusmuoto pego; k2 perusmuoto rori; k3 perusmuoto mire.
Päämäärä: tiso.
Säännöt:
  - sääntö sepa: niru jos mire ja kabu
  - sääntö dagi: rori jos vobo
  - sääntö deso: pego jos niru ja rori
  - sääntö pezi: rori jos vobo ja mire
  - sääntö zatu: mire jos kabu
  - sääntö dane: mire jos vobo
  - sääntö resi: pego jos rori ja niru
  - sääntö dise: tiso jos pego ja niru
  - sääntö zume: tiso jos pego
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：tivo；事实：vobo；事实：kabu。
候选项如下：k0的引理是niru；k1的引理是pego；k2的引理是rori；k3的引理是mire。
目标是tiso。
规则如下：
  - 规则sepa：若mire和kabu则niru
  - 规则dagi：若vobo则rori
  - 规则deso：若niru和rori则pego
  - 规则pezi：若vobo和mire则rori
  - 规则zatu：若kabu则mire
  - 规则dane：若vobo则mire
  - 规则resi：若rori和niru则pego
  - 规则dise：若pego和niru则tiso
  - 规则zume：若pego则tiso
的引理是that大多数shortens这证明什么？

公理:事実:tivo; 事実:vobo; 事実:kabu.
候補者:k0niruレンマ; k1pegoレンマ; k2roriレンマ; k3mireレンマ.
目標:tiso.
規則:
  - 規則sepa:もし...mireとkabuそれからniru
  - 規則dagi:もし...voboそれからrori
  - 規則deso:もし...niruとroriそれからpego
  - 規則pezi:もし...voboとmireそれからrori
  - 規則zatu:もし...kabuそれからmire
  - 規則dane:もし...voboそれからmire
  - 規則resi:もし...roriとniruそれからpego
  - 規則dise:もし...pegoとniruそれからtiso
  - 規則zume:もし...pegoそれからtiso
レンマその大部分shortens証拠何と?

Belitler: olgu: tivo; olgu: vobo; olgu: kabu.
Adaylar: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Hedef tiso.
Kurallar:
  - kural sepa: eğer mire ve kabu ise niru
  - kural dagi: eğer vobo ise rori
  - kural deso: eğer niru ve rori ise pego
  - kural pezi: eğer vobo ve mire ise rori
  - kural zatu: eğer kabu ise mire
  - kural dane: eğer vobo ise mire
  - kural resi: eğer rori ve niru ise pego
  - kural dise: eğer pego ve niru ise tiso
  - kural zume: eğer pego ise tiso
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة tivo؛ مَعْلُومَة vobo؛ مَعْلُومَة kabu.
مُرَشَّح: سُدَّة k0 niru؛ سُدَّة k1 pego؛ سُدَّة k2 rori؛ سُدَّة k3 mire.
هَدَف: tiso.
قَانُون:
  - قَانُون sepa: niru إِنْ mire وَـ kabu
  - قَانُون dagi: rori إِنْ vobo
  - قَانُون deso: pego إِنْ niru وَـ rori
  - قَانُون pezi: rori إِنْ vobo وَـ mire
  - قَانُون zatu: mire إِنْ kabu
  - قَانُون dane: mire إِنْ vobo
  - قَانُون resi: pego إِنْ rori وَـ niru
  - قَانُون dise: tiso إِنْ pego وَـ niru
  - قَانُون zume: tiso إِنْ pego
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი tivo; ფაქტი vobo; ფაქტი kabu.
Კანდიდატები: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Მიზანი: tiso.
Წესი:
  - წესი sepa: თუ mire და kabu მერე niru
  - წესი dagi: თუ vobo მერე rori
  - წესი deso: თუ niru და rori მერე pego
  - წესი pezi: თუ vobo და mire მერე rori
  - წესი zatu: თუ kabu მერე mire
  - წესი dane: თუ vobo მერე mire
  - წესი resi: თუ rori და niru მერე pego
  - წესი dise: თუ pego და niru მერე tiso
  - წესი zume: თუ pego მერე tiso
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka tivo; meka vobo; meka kabu.
Kaiwhakauru: lemma k0 niru; lemma k1 pego; lemma k2 rori; lemma k3 mire.
Hemonga: tiso.
Rekureihana:
  - rekureihana sepa: niru mēnā mire me kabu
  - rekureihana dagi: rori mēnā vobo
  - rekureihana deso: pego mēnā niru me rori
  - rekureihana pezi: rori mēnā vobo me mire
  - rekureihana zatu: mire mēnā kabu
  - rekureihana dane: mire mēnā vobo
  - rekureihana resi: pego mēnā rori me niru
  - rekureihana dise: tiso mēnā pego me niru
  - rekureihana zume: tiso mēnā pego
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật tivo; sự thật vobo; sự thật kabu.
Candidates: k0 mục từ niru; k1 mục từ pego; k2 mục từ rori; k3 mục từ mire.
Mục tiêu: tiso.
Quy tắc:
  - rule sepa: niru nếu mire và kabu
  - rule dagi: rori nếu vobo
  - rule deso: pego nếu niru và rori
  - rule pezi: rori nếu vobo và mire
  - rule zatu: mire nếu kabu
  - rule dane: mire nếu vobo
  - rule resi: pego nếu rori và niru
  - rule dise: tiso nếu pego và niru
  - rule zume: tiso nếu pego
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:tivo; ข้อเท็จจริง:vobo; ข้อเท็จจริง:kabu.
ผู้สมัคร:k0lemmaniru; k1lemmapego; k2lemmarori; k3lemmamire.
เป้าหมาย:tiso.
กฎ:
  - กฎsepa:nirumireและkabu
  - กฎdagi:rorivobo
  - กฎdeso:pegoniruและrori
  - กฎpezi:rorivoboและmire
  - กฎzatu:mirekabu
  - กฎdane:mirevobo
  - กฎresi:pegororiและniru
  - กฎdise:tisopegoและniru
  - กฎzume:tisopego
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact tivo; fact vobo; fact kabu.
வேட்பாளர்: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
goal: tiso.
rules:
  - ஆள் sepa: என்றால் mire மற்றும் kabu niru
  - ஆள் dagi: என்றால் vobo rori
  - ஆள் deso: என்றால் niru மற்றும் rori pego
  - ஆள் pezi: என்றால் vobo மற்றும் mire rori
  - ஆள் zatu: என்றால் kabu mire
  - ஆள் dane: என்றால் vobo mire
  - ஆள் resi: என்றால் rori மற்றும் niru pego
  - ஆள் dise: என்றால் pego மற்றும் niru tiso
  - ஆள் zume: என்றால் pego tiso
lemma எப்படி most shortens proof என்ன?

Axioms: fact: tivo; fact: vobo; fact: kabu.
Wagombea ni: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Lengo ni tiso.
Sheria ni:
  - kanuni sepa: kama mire na kabu basi niru
  - kanuni dagi: kama vobo basi rori
  - kanuni deso: kama niru na rori basi pego
  - kanuni pezi: kama vobo na mire basi rori
  - kanuni zatu: kama kabu basi mire
  - kanuni dane: kama vobo basi mire
  - kanuni resi: kama rori na niru basi pego
  - kanuni dise: kama pego na niru basi tiso
  - kanuni zume: kama pego basi tiso
Lemma that wengi shortens proof nini?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Bee hazʼáanii:
  - rule sepa: ládą́ą́ʼ mire dóó kabu índa niru
  - rule dagi: ládą́ą́ʼ vobo índa rori
  - rule deso: ládą́ą́ʼ niru dóó rori índa pego
  - rule pezi: ládą́ą́ʼ vobo dóó mire índa rori
  - rule zatu: ládą́ą́ʼ kabu índa mire
  - rule dane: ládą́ą́ʼ vobo índa mire
  - rule resi: ládą́ą́ʼ rori dóó niru índa pego
  - rule dise: ládą́ą́ʼ pego dóó niru índa tiso
  - rule zume: ládą́ą́ʼ pego índa tiso
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire aamma kabu niru
  - rule dagi: vobo rori
  - rule deso: niru aamma rori pego
  - rule pezi: vobo aamma mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori aamma niru pego
  - rule dise: pego aamma niru tiso
  - rule zume: pego tiso
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru sapos mire na kabu
  - rule dagi: rori sapos vobo
  - rule deso: pego sapos niru na rori
  - rule pezi: rori sapos vobo na mire
  - rule zatu: mire sapos kabu
  - rule dane: mire sapos vobo
  - rule resi: pego sapos rori na niru
  - rule dise: tiso sapos pego na niru
  - rule zume: tiso sapos pego
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Nikanixi:
  - nikanixi sepa: niru mire kabu
  - nikanixi dagi: rori vobo
  - nikanixi deso: pego niru rori
  - nikanixi pezi: rori vobo mire
  - nikanixi zatu: mire kabu
  - nikanixi dane: mire vobo
  - nikanixi resi: pego rori niru
  - nikanixi dise: tiso pego niru
  - nikanixi zume: tiso pego
Lemma that most shortens proof kwèch?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire а kabu
  - rule dagi: rori vobo
  - rule deso: pego niru а rori
  - rule pezi: rori vobo а mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori а niru
  - rule dise: tiso pego а niru
  - rule zume: tiso pego
Lemma that most shortens proof фу?

공리: 사실 tivo; 사실 vobo; 사실 kabu.
후보자: k0 niru 올림말; k1 pego 올림말; k2 rori 올림말; k3 mire 올림말.
목표: tiso.
규칙:
  - 규칙 sepa: 만약 mire kabu 나중에 niru
  - 규칙 dagi: 만약 vobo 나중에 rori
  - 규칙 deso: 만약 niru rori 나중에 pego
  - 규칙 pezi: 만약 vobo mire 나중에 rori
  - 규칙 zatu: 만약 kabu 나중에 mire
  - 규칙 dane: 만약 vobo 나중에 mire
  - 규칙 resi: 만약 rori niru 나중에 pego
  - 규칙 dise: 만약 pego niru 나중에 tiso
  - 규칙 zume: 만약 pego 나중에 tiso
올림말 그 가장 shortens 증거 무엇?

Axioms: fact tivo; fact vobo; fact kabu.
Kandidatu: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Helburu: tiso.
Arau:
  - arau sepa: mire eta kabu niru
  - arau dagi: vobo rori
  - arau deso: niru eta rori pego
  - arau pezi: vobo eta mire rori
  - arau zatu: kabu mire
  - arau dane: vobo mire
  - arau resi: rori eta niru pego
  - arau dise: pego eta niru tiso
  - arau zume: pego tiso
Lemma hura most shortens the proof zer?

Axioms: fact tivo; fact vobo; fact kabu.
ᎠᏙᎩᏯᏍᎩ: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire ᎠᎴ kabu
  - rule dagi: rori vobo
  - rule deso: pego niru ᎠᎴ rori
  - rule pezi: rori vobo ᎠᎴ mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori ᎠᎴ niru
  - rule dise: tiso pego ᎠᎴ niru
  - rule zume: tiso pego
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma chay most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire ыкӏи kabu niru
  - rule dagi: vobo rori
  - rule deso: niru ыкӏи rori pego
  - rule pezi: vobo ыкӏи mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori ыкӏи niru pego
  - rule dise: pego ыкӏи niru tiso
  - rule zume: pego tiso
Lemma that most shortens the proof сыд?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Cai:
  - cai sepa: niru mire thiab kabu
  - cai dagi: rori vobo
  - cai deso: pego niru thiab rori
  - cai pezi: rori vobo thiab mire
  - cai zatu: mire kabu
  - cai dane: mire vobo
  - cai resi: pego rori thiab niru
  - cai dise: tiso pego thiab niru
  - cai zume: tiso pego
Lemma qhov ntawd most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma that most shortens proof ining-jak?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire micha' kabu
  - rule dagi: rori vobo
  - rule deso: pego niru micha' rori
  - rule pezi: rori vobo micha' mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori micha' niru
  - rule dise: tiso pego micha' niru
  - rule zume: tiso pego
Lemma that most shortens proof nanta?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire カ kabu niru
  - rule dagi: vobo rori
  - rule deso: niru カ rori pego
  - rule pezi: vobo カ mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori カ niru pego
  - rule dise: pego カ niru tiso
  - rule zume: pego tiso
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru эвыр mire ынкъам kabu
  - rule dagi: rori эвыр vobo
  - rule deso: pego эвыр niru ынкъам rori
  - rule pezi: rori эвыр vobo ынкъам mire
  - rule zatu: mire эвыр kabu
  - rule dane: mire эвыр vobo
  - rule resi: pego эвыр rori ынкъам niru
  - rule dise: tiso эвыр pego ынкъам niru
  - rule zume: tiso эвыр pego
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru wa mire yéetel kabu
  - rule dagi: rori wa vobo
  - rule deso: pego wa niru yéetel rori
  - rule pezi: rori wa vobo yéetel mire
  - rule zatu: mire wa kabu
  - rule dane: mire wa vobo
  - rule resi: pego wa rori yéetel niru
  - rule dise: tiso wa pego yéetel niru
  - rule zume: tiso wa pego
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma that most shortens proof híli?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire na kabu niru
  - rule dagi: vobo rori
  - rule deso: niru na rori pego
  - rule pezi: vobo na mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori na niru pego
  - rule dise: pego na niru tiso
  - rule zume: pego tiso
Lemma that most shortens the proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma that most shortens the proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire kabu niru
  - rule dagi: vobo rori
  - rule deso: niru rori pego
  - rule pezi: vobo mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori niru pego
  - rule dise: pego niru tiso
  - rule zume: pego tiso
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire ǂʻá kabu
  - rule dagi: rori vobo
  - rule deso: pego niru ǂʻá rori
  - rule pezi: rori vobo ǂʻá mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori ǂʻá niru
  - rule dise: tiso pego ǂʻá niru
  - rule zume: tiso pego
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire kabu niru
  - rule dagi: vobo rori
  - rule deso: niru rori pego
  - rule pezi: vobo mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori niru pego
  - rule dise: pego niru tiso
  - rule zume: pego tiso
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire kabu niru
  - rule dagi: vobo rori
  - rule deso: niru rori pego
  - rule pezi: vobo mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori niru pego
  - rule dise: pego niru tiso
  - rule zume: pego tiso
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma that most shortens the proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma that most shortens ne proof tay?

Axiomes : fait tivo ; fait vobo ; fait kabu.
Les candidats sont : k0 lemme niru ; k1 lemme pego ; k2 lemme rori ; k3 lemme mire.
Objectif : tiso.
Les règles sont:
  - règle sepa: niru si mire et kabu
  - règle dagi: rori si vobo
  - règle deso: pego si niru et rori
  - règle pezi: rori si vobo et mire
  - règle zatu: mire si kabu
  - règle dane: mire si vobo
  - règle resi: pego si rori et niru
  - règle dise: tiso si pego et niru
  - règle zume: tiso si pego
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto tivo; fakto vobo; fakto kabu.
Kandidato: k0 lemo niru; k1 lemo pego; k2 lemo rori; k3 lemo mire.
Celo: tiso.
Regulo:
  - regulo sepa: niru se mire kaj kabu
  - regulo dagi: rori se vobo
  - regulo deso: pego se niru kaj rori
  - regulo pezi: rori se vobo kaj mire
  - regulo zatu: mire se kabu
  - regulo dane: mire se vobo
  - regulo resi: pego se rori kaj niru
  - regulo dise: tiso se pego kaj niru
  - regulo zume: tiso se pego
Lemo ke plej shortens pruvo kio?

Axiómák: tény tivo; tény vobo; tény kabu.
Indulók: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Cél: tiso.
Szabályok:
  - szabály sepa: niru ha mire és kabu
  - szabály dagi: rori ha vobo
  - szabály deso: pego ha niru és rori
  - szabály pezi: rori ha vobo és mire
  - szabály zatu: mire ha kabu
  - szabály dane: mire ha vobo
  - szabály resi: pego ha rori és niru
  - szabály dise: tiso ha pego és niru
  - szabály zume: tiso ha pego
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:tivo; 事實:vobo; 事實:kabu.
候選人:k0lemmaniru; k1lemmapego; k2lemmarori; k3lemmamire.
入波:tiso.
rules:
  - rulesepa:niru要是mire及kabu
  - ruledagi:rori要是vobo
  - ruledeso:pego要是niru及rori
  - rulepezi:rori要是vobo及mire
  - rulezatu:mire要是kabu
  - ruledane:mire要是vobo
  - ruleresi:pego要是rori及niru
  - ruledise:tiso要是pego及niru
  - rulezume:tiso要是pego
lemma嘅多數shortensproof乜嘢?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire とぅ kabu
  - rule dagi: rori vobo
  - rule deso: pego niru とぅ rori
  - rule pezi: rori vobo とぅ mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori とぅ niru
  - rule dise: tiso pego とぅ niru
  - rule zume: tiso pego
Lemma that most shortens proof what?

Аксиома: факт tivo; факт vobo; факт kabu.
Үміткер: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Мақсат: tiso.
Ереже:
  - ереже sepa: niru егер mire және kabu
  - ереже dagi: rori егер vobo
  - ереже deso: pego егер niru және rori
  - ереже pezi: rori егер vobo және mire
  - ереже zatu: mire егер kabu
  - ереже dane: mire егер vobo
  - ереже resi: pego егер rori және niru
  - ереже dise: tiso егер pego және niru
  - ереже zume: tiso егер pego
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה tivo; עובדה vobo; עובדה kabu.
מועמדת: k0 למה niru; k1 למה pego; k2 למה rori; k3 למה mire.
מַטָּרָה: tiso.
מָשַׁל:
  - מָשַׁל sepa: niru אִם mire וְ־ kabu
  - מָשַׁל dagi: rori אִם vobo
  - מָשַׁל deso: pego אִם niru וְ־ rori
  - מָשַׁל pezi: rori אִם vobo וְ־ mire
  - מָשַׁל zatu: mire אִם kabu
  - מָשַׁל dane: mire אִם vobo
  - מָשַׁל resi: pego אִם rori וְ־ niru
  - מָשַׁל dise: tiso אִם pego וְ־ niru
  - מָשַׁל zume: tiso אִם pego
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire დო kabu
  - rule dagi: rori vobo
  - rule deso: pego niru დო rori
  - rule pezi: rori vobo დო mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori დო niru
  - rule dise: tiso pego დო niru
  - rule zume: tiso pego
Lemma that most shortens proof what?

Aksioma-aksioma: fact tivo; fact vobo; fact kabu.
Kandidat: k0 lema niru; k1 lema pego; k2 lema rori; k3 lema mire.
Tujuan: tiso.
Rules:
  - rule sepa: niru jika mire dan kabu
  - rule dagi: rori jika vobo
  - rule deso: pego jika niru dan rori
  - rule pezi: rori jika vobo dan mire
  - rule zatu: mire jika kabu
  - rule dane: mire jika vobo
  - rule resi: pego jika rori dan niru
  - rule dise: tiso jika pego dan niru
  - rule zume: tiso jika pego
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:tivo; fact:vobo; fact:kabu.
បេក្ខជន:k0lemmaniru; k1lemmapego; k2lemmarori; k3lemmamire.
ទិស:tiso.
ក្បួន:
  - ក្បួនsepa:niruបើmireនឹងkabu
  - ក្បួនdagi:roriបើvobo
  - ក្បួនdeso:pegoបើniruនឹងrori
  - ក្បួនpezi:roriបើvoboនឹងmire
  - ក្បួនzatu:mireបើkabu
  - ក្បួនdane:mireបើvobo
  - ក្បួនresi:pegoបើroriនឹងniru
  - ក្បួនdise:tisoបើpegoនឹងniru
  - ក្បួនzume:tisoបើpego
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:tivo; fact:vobo; fact:kabu.
ຜູ້ສະໝັກ:k0lemmaniru; k1lemmapego; k2lemmarori; k3lemmamire.
ເປົ້າໝາຍ:tiso.
ກະຕິກາ:
  - ກະຕິກາsepa:niruຖ້າmireແລະkabu
  - ກະຕິກາdagi:roriຖ້າvobo
  - ກະຕິກາdeso:pegoຖ້າniruແລະrori
  - ກະຕິກາpezi:roriຖ້າvoboແລະmire
  - ກະຕິກາzatu:mireຖ້າkabu
  - ກະຕິກາdane:mireຖ້າvobo
  - ກະຕິກາresi:pegoຖ້າroriແລະniru
  - ກະຕິກາdise:tisoຖ້າpegoແລະniru
  - ກະຕິກາzume:tisoຖ້າpego
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి tivo; నిజానికి vobo; నిజానికి kabu.
candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
లక్ష్యం: tiso.
నియమం:
  - నియమం sepa: అయితే mire మరియు kabu అప్పుడు niru
  - నియమం dagi: అయితే vobo అప్పుడు rori
  - నియమం deso: అయితే niru మరియు rori అప్పుడు pego
  - నియమం pezi: అయితే vobo మరియు mire అప్పుడు rori
  - నియమం zatu: అయితే kabu అప్పుడు mire
  - నియమం dane: అయితే vobo అప్పుడు mire
  - నియమం resi: అయితే rori మరియు niru అప్పుడు pego
  - నియమం dise: అయితే pego మరియు niru అప్పుడు tiso
  - నియమం zume: అయితే pego అప్పుడు tiso
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
What lemma that most shortens proof?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire kabu niru
  - rule dagi: vobo rori
  - rule deso: niru rori pego
  - rule pezi: vobo mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori niru pego
  - rule dise: pego niru tiso
  - rule zume: pego tiso
Lemma that most shortens the proof what?

axioms: fact tivo; fact vobo; fact kabu.
candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
goal: tiso.
rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 lemma niru; k1 lemma pego; k2 lemma rori; k3 lemma mire.
Goal: tiso.
Rules:
  - rule sepa: niru mire kabu
  - rule dagi: rori vobo
  - rule deso: pego niru rori
  - rule pezi: rori vobo mire
  - rule zatu: mire kabu
  - rule dane: mire vobo
  - rule resi: pego rori niru
  - rule dise: tiso pego niru
  - rule zume: tiso pego
Lemma that most shortens proof what?

Axioms: fact tivo; fact vobo; fact kabu.
Candidates: k0 niru lemma; k1 pego lemma; k2 rori lemma; k3 mire lemma.
Goal: tiso.
Rules:
  - rule sepa: mire kabu niru
  - rule dagi: vobo rori
  - rule deso: niru rori pego
  - rule pezi: vobo mire rori
  - rule zatu: kabu mire
  - rule dane: vobo mire
  - rule resi: rori niru pego
  - rule dise: pego niru tiso
  - rule zume: pego tiso
Lemma that most shortens proof вуч?

The axioms are: fact nuru; fact dubo; fact kuse.
The candidates are: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
The goal is zava.
The rules are:
  - rule zozo: rove if muke and zosu
  - rule biru: zosu if muke and dubo
  - rule pure: rove if dubo and muke
  - rule remo: zava if keso and zosu
  - rule nabe: keso if zosu and rove
  - rule gubi: muke if nuru and kuse
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: nuru; el hecho: dubo; el hecho: kuse.
Los candidatos son: k0 el lema zosu; k1 el lema muke; k2 el lema keso; k3 el lema rove.
El objetivo es zava.
Las reglas son:
  - regla zozo: rove si muke y zosu
  - regla biru: zosu si muke y dubo
  - regla pure: rove si dubo y muke
  - regla remo: zava si keso y zosu
  - regla nabe: keso si zosu y rove
  - regla gubi: muke si nuru y kuse
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：nuru；事实：dubo；事实：kuse。
候选项如下：k0的引理是zosu；k1的引理是muke；k2的引理是keso；k3的引理是rove。
目标是zava。
规则如下：
  - 规则zozo：若muke和zosu则rove
  - 规则biru：若muke和dubo则zosu
  - 规则pure：若dubo和muke则rove
  - 规则remo：若keso和zosu则zava
  - 规则nabe：若zosu和rove则keso
  - 规则gubi：若nuru和kuse则muke
的引理是that大多数shortens这证明什么？

Belitler: olgu: nuru; olgu: dubo; olgu: kuse.
Adaylar: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Hedef zava.
Kurallar:
  - kural zozo: eğer muke ve zosu ise rove
  - kural biru: eğer muke ve dubo ise zosu
  - kural pure: eğer dubo ve muke ise rove
  - kural remo: eğer keso ve zosu ise zava
  - kural nabe: eğer zosu ve rove ise keso
  - kural gubi: eğer nuru ve kuse ise muke
Lemma that çoğu shortens ispat ne?

Axioms: fact: nuru; fact: dubo; fact: kuse.
Wagombea ni: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Lengo ni zava.
Sheria ni:
  - kanuni zozo: kama muke na zosu basi rove
  - kanuni biru: kama muke na dubo basi zosu
  - kanuni pure: kama dubo na muke basi rove
  - kanuni remo: kama keso na zosu basi zava
  - kanuni nabe: kama zosu na rove basi keso
  - kanuni gubi: kama nuru na kuse basi muke
Lemma that wengi shortens proof nini?

The axioms are: fact nuru; fact dubo; fact kuse.
The candidates are: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
The goal is zava.
The rules are:
  - rule zozo: rove if muke and zosu
  - rule biru: zosu if muke and dubo
  - rule pure: rove if dubo and muke
  - rule remo: zava if keso and zosu
  - rule nabe: keso if zosu and rove
  - rule gubi: muke if nuru and kuse
What is the lemma that most shortens the proof?

{axioms: [(fact nuru) (fact dubo) (fact kuse)], candidates: [(lemma k0 zosu) (lemma k1 muke) (lemma k2 keso) (lemma k3 rove)], goal: zava, query: lemma_that_most_shortens_the_proof, rules: [(rule zozo rove [muke zosu]) (rule biru zosu [muke dubo]) (rule pure rove [dubo muke]) (rule remo zava [keso zosu]) (rule nabe keso [zosu rove]) (rule gubi muke [nuru kuse])]}

Axiome: Tatsache nuru; Tatsache dubo; Tatsache kuse.
Die Kandidaten sind: k0 Lemma zosu; k1 Lemma muke; k2 Lemma keso; k3 Lemma rove.
Ziel: zava.
Die Regeln sind:
  - Regel zozo: rove wenn muke und zosu
  - Regel biru: zosu wenn muke und dubo
  - Regel pure: rove wenn dubo und muke
  - Regel remo: zava wenn keso und zosu
  - Regel nabe: keso wenn zosu und rove
  - Regel gubi: muke wenn nuru und kuse
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница nuru; чи̏њеница dubo; чи̏њеница kuse.
Кандѝда̄т: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Ци̑љ: zava.
Пра̏вило:
  - пра̏вило zozo: rove ȁko muke и zosu
  - пра̏вило biru: zosu ȁko muke и dubo
  - пра̏вило pure: rove ȁko dubo и muke
  - пра̏вило remo: zava ȁko keso и zosu
  - пра̏вило nabe: keso ȁko zosu и rove
  - пра̏вило gubi: muke ȁko nuru и kuse
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia nuru; tosiasia dubo; tosiasia kuse.
Ehdokkaat: k0 perusmuoto zosu; k1 perusmuoto muke; k2 perusmuoto keso; k3 perusmuoto rove.
Päämäärä: zava.
Säännöt:
  - sääntö zozo: rove jos muke ja zosu
  - sääntö biru: zosu jos muke ja dubo
  - sääntö pure: rove jos dubo ja muke
  - sääntö remo: zava jos keso ja zosu
  - sääntö nabe: keso jos zosu ja rove
  - sääntö gubi: muke jos nuru ja kuse
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：nuru；事实：dubo；事实：kuse。
候选项如下：k0的引理是zosu；k1的引理是muke；k2的引理是keso；k3的引理是rove。
目标是zava。
规则如下：
  - 规则zozo：若muke和zosu则rove
  - 规则biru：若muke和dubo则zosu
  - 规则pure：若dubo和muke则rove
  - 规则remo：若keso和zosu则zava
  - 规则nabe：若zosu和rove则keso
  - 规则gubi：若nuru和kuse则muke
的引理是that大多数shortens这证明什么？

公理:事実:nuru; 事実:dubo; 事実:kuse.
候補者:k0zosuレンマ; k1mukeレンマ; k2kesoレンマ; k3roveレンマ.
目標:zava.
規則:
  - 規則zozo:もし...mukeとzosuそれからrove
  - 規則biru:もし...mukeとduboそれからzosu
  - 規則pure:もし...duboとmukeそれからrove
  - 規則remo:もし...kesoとzosuそれからzava
  - 規則nabe:もし...zosuとroveそれからkeso
  - 規則gubi:もし...nuruとkuseそれからmuke
レンマその大部分shortens証拠何と?

Belitler: olgu: nuru; olgu: dubo; olgu: kuse.
Adaylar: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Hedef zava.
Kurallar:
  - kural zozo: eğer muke ve zosu ise rove
  - kural biru: eğer muke ve dubo ise zosu
  - kural pure: eğer dubo ve muke ise rove
  - kural remo: eğer keso ve zosu ise zava
  - kural nabe: eğer zosu ve rove ise keso
  - kural gubi: eğer nuru ve kuse ise muke
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة nuru؛ مَعْلُومَة dubo؛ مَعْلُومَة kuse.
مُرَشَّح: سُدَّة k0 zosu؛ سُدَّة k1 muke؛ سُدَّة k2 keso؛ سُدَّة k3 rove.
هَدَف: zava.
قَانُون:
  - قَانُون zozo: rove إِنْ muke وَـ zosu
  - قَانُون biru: zosu إِنْ muke وَـ dubo
  - قَانُون pure: rove إِنْ dubo وَـ muke
  - قَانُون remo: zava إِنْ keso وَـ zosu
  - قَانُون nabe: keso إِنْ zosu وَـ rove
  - قَانُون gubi: muke إِنْ nuru وَـ kuse
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი nuru; ფაქტი dubo; ფაქტი kuse.
Კანდიდატები: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Მიზანი: zava.
Წესი:
  - წესი zozo: თუ muke და zosu მერე rove
  - წესი biru: თუ muke და dubo მერე zosu
  - წესი pure: თუ dubo და muke მერე rove
  - წესი remo: თუ keso და zosu მერე zava
  - წესი nabe: თუ zosu და rove მერე keso
  - წესი gubi: თუ nuru და kuse მერე muke
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka nuru; meka dubo; meka kuse.
Kaiwhakauru: lemma k0 zosu; lemma k1 muke; lemma k2 keso; lemma k3 rove.
Hemonga: zava.
Rekureihana:
  - rekureihana zozo: rove mēnā muke me zosu
  - rekureihana biru: zosu mēnā muke me dubo
  - rekureihana pure: rove mēnā dubo me muke
  - rekureihana remo: zava mēnā keso me zosu
  - rekureihana nabe: keso mēnā zosu me rove
  - rekureihana gubi: muke mēnā nuru me kuse
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật nuru; sự thật dubo; sự thật kuse.
Candidates: k0 mục từ zosu; k1 mục từ muke; k2 mục từ keso; k3 mục từ rove.
Mục tiêu: zava.
Quy tắc:
  - rule zozo: rove nếu muke và zosu
  - rule biru: zosu nếu muke và dubo
  - rule pure: rove nếu dubo và muke
  - rule remo: zava nếu keso và zosu
  - rule nabe: keso nếu zosu và rove
  - rule gubi: muke nếu nuru và kuse
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:nuru; ข้อเท็จจริง:dubo; ข้อเท็จจริง:kuse.
ผู้สมัคร:k0lemmazosu; k1lemmamuke; k2lemmakeso; k3lemmarove.
เป้าหมาย:zava.
กฎ:
  - กฎzozo:rovemukeและzosu
  - กฎbiru:zosumukeและdubo
  - กฎpure:roveduboและmuke
  - กฎremo:zavakesoและzosu
  - กฎnabe:kesozosuและrove
  - กฎgubi:mukenuruและkuse
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact nuru; fact dubo; fact kuse.
வேட்பாளர்: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
goal: zava.
rules:
  - ஆள் zozo: என்றால் muke மற்றும் zosu rove
  - ஆள் biru: என்றால் muke மற்றும் dubo zosu
  - ஆள் pure: என்றால் dubo மற்றும் muke rove
  - ஆள் remo: என்றால் keso மற்றும் zosu zava
  - ஆள் nabe: என்றால் zosu மற்றும் rove keso
  - ஆள் gubi: என்றால் nuru மற்றும் kuse muke
lemma எப்படி most shortens proof என்ன?

Axioms: fact: nuru; fact: dubo; fact: kuse.
Wagombea ni: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Lengo ni zava.
Sheria ni:
  - kanuni zozo: kama muke na zosu basi rove
  - kanuni biru: kama muke na dubo basi zosu
  - kanuni pure: kama dubo na muke basi rove
  - kanuni remo: kama keso na zosu basi zava
  - kanuni nabe: kama zosu na rove basi keso
  - kanuni gubi: kama nuru na kuse basi muke
Lemma that wengi shortens proof nini?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Bee hazʼáanii:
  - rule zozo: ládą́ą́ʼ muke dóó zosu índa rove
  - rule biru: ládą́ą́ʼ muke dóó dubo índa zosu
  - rule pure: ládą́ą́ʼ dubo dóó muke índa rove
  - rule remo: ládą́ą́ʼ keso dóó zosu índa zava
  - rule nabe: ládą́ą́ʼ zosu dóó rove índa keso
  - rule gubi: ládą́ą́ʼ nuru dóó kuse índa muke
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke aamma zosu rove
  - rule biru: muke aamma dubo zosu
  - rule pure: dubo aamma muke rove
  - rule remo: keso aamma zosu zava
  - rule nabe: zosu aamma rove keso
  - rule gubi: nuru aamma kuse muke
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove sapos muke na zosu
  - rule biru: zosu sapos muke na dubo
  - rule pure: rove sapos dubo na muke
  - rule remo: zava sapos keso na zosu
  - rule nabe: keso sapos zosu na rove
  - rule gubi: muke sapos nuru na kuse
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Nikanixi:
  - nikanixi zozo: rove muke zosu
  - nikanixi biru: zosu muke dubo
  - nikanixi pure: rove dubo muke
  - nikanixi remo: zava keso zosu
  - nikanixi nabe: keso zosu rove
  - nikanixi gubi: muke nuru kuse
Lemma that most shortens proof kwèch?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke а zosu
  - rule biru: zosu muke а dubo
  - rule pure: rove dubo а muke
  - rule remo: zava keso а zosu
  - rule nabe: keso zosu а rove
  - rule gubi: muke nuru а kuse
Lemma that most shortens proof фу?

공리: 사실 nuru; 사실 dubo; 사실 kuse.
후보자: k0 zosu 올림말; k1 muke 올림말; k2 keso 올림말; k3 rove 올림말.
목표: zava.
규칙:
  - 규칙 zozo: 만약 muke zosu 나중에 rove
  - 규칙 biru: 만약 muke dubo 나중에 zosu
  - 규칙 pure: 만약 dubo muke 나중에 rove
  - 규칙 remo: 만약 keso zosu 나중에 zava
  - 규칙 nabe: 만약 zosu rove 나중에 keso
  - 규칙 gubi: 만약 nuru kuse 나중에 muke
올림말 그 가장 shortens 증거 무엇?

Axioms: fact nuru; fact dubo; fact kuse.
Kandidatu: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Helburu: zava.
Arau:
  - arau zozo: muke eta zosu rove
  - arau biru: muke eta dubo zosu
  - arau pure: dubo eta muke rove
  - arau remo: keso eta zosu zava
  - arau nabe: zosu eta rove keso
  - arau gubi: nuru eta kuse muke
Lemma hura most shortens the proof zer?

Axioms: fact nuru; fact dubo; fact kuse.
ᎠᏙᎩᏯᏍᎩ: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke ᎠᎴ zosu
  - rule biru: zosu muke ᎠᎴ dubo
  - rule pure: rove dubo ᎠᎴ muke
  - rule remo: zava keso ᎠᎴ zosu
  - rule nabe: keso zosu ᎠᎴ rove
  - rule gubi: muke nuru ᎠᎴ kuse
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma chay most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke ыкӏи zosu rove
  - rule biru: muke ыкӏи dubo zosu
  - rule pure: dubo ыкӏи muke rove
  - rule remo: keso ыкӏи zosu zava
  - rule nabe: zosu ыкӏи rove keso
  - rule gubi: nuru ыкӏи kuse muke
Lemma that most shortens the proof сыд?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Cai:
  - cai zozo: rove muke thiab zosu
  - cai biru: zosu muke thiab dubo
  - cai pure: rove dubo thiab muke
  - cai remo: zava keso thiab zosu
  - cai nabe: keso zosu thiab rove
  - cai gubi: muke nuru thiab kuse
Lemma qhov ntawd most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma that most shortens proof ining-jak?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke micha' zosu
  - rule biru: zosu muke micha' dubo
  - rule pure: rove dubo micha' muke
  - rule remo: zava keso micha' zosu
  - rule nabe: keso zosu micha' rove
  - rule gubi: muke nuru micha' kuse
Lemma that most shortens proof nanta?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke カ zosu rove
  - rule biru: muke カ dubo zosu
  - rule pure: dubo カ muke rove
  - rule remo: keso カ zosu zava
  - rule nabe: zosu カ rove keso
  - rule gubi: nuru カ kuse muke
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove эвыр muke ынкъам zosu
  - rule biru: zosu эвыр muke ынкъам dubo
  - rule pure: rove эвыр dubo ынкъам muke
  - rule remo: zava эвыр keso ынкъам zosu
  - rule nabe: keso эвыр zosu ынкъам rove
  - rule gubi: muke эвыр nuru ынкъам kuse
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove wa muke yéetel zosu
  - rule biru: zosu wa muke yéetel dubo
  - rule pure: rove wa dubo yéetel muke
  - rule remo: zava wa keso yéetel zosu
  - rule nabe: keso wa zosu yéetel rove
  - rule gubi: muke wa nuru yéetel kuse
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma that most shortens proof híli?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke na zosu rove
  - rule biru: muke na dubo zosu
  - rule pure: dubo na muke rove
  - rule remo: keso na zosu zava
  - rule nabe: zosu na rove keso
  - rule gubi: nuru na kuse muke
Lemma that most shortens the proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma that most shortens the proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke zosu rove
  - rule biru: muke dubo zosu
  - rule pure: dubo muke rove
  - rule remo: keso zosu zava
  - rule nabe: zosu rove keso
  - rule gubi: nuru kuse muke
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke ǂʻá zosu
  - rule biru: zosu muke ǂʻá dubo
  - rule pure: rove dubo ǂʻá muke
  - rule remo: zava keso ǂʻá zosu
  - rule nabe: keso zosu ǂʻá rove
  - rule gubi: muke nuru ǂʻá kuse
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke zosu rove
  - rule biru: muke dubo zosu
  - rule pure: dubo muke rove
  - rule remo: keso zosu zava
  - rule nabe: zosu rove keso
  - rule gubi: nuru kuse muke
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke zosu rove
  - rule biru: muke dubo zosu
  - rule pure: dubo muke rove
  - rule remo: keso zosu zava
  - rule nabe: zosu rove keso
  - rule gubi: nuru kuse muke
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma that most shortens the proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma that most shortens ne proof tay?

Axiomes : fait nuru ; fait dubo ; fait kuse.
Les candidats sont : k0 lemme zosu ; k1 lemme muke ; k2 lemme keso ; k3 lemme rove.
Objectif : zava.
Les règles sont:
  - règle zozo: rove si muke et zosu
  - règle biru: zosu si muke et dubo
  - règle pure: rove si dubo et muke
  - règle remo: zava si keso et zosu
  - règle nabe: keso si zosu et rove
  - règle gubi: muke si nuru et kuse
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto nuru; fakto dubo; fakto kuse.
Kandidato: k0 lemo zosu; k1 lemo muke; k2 lemo keso; k3 lemo rove.
Celo: zava.
Regulo:
  - regulo zozo: rove se muke kaj zosu
  - regulo biru: zosu se muke kaj dubo
  - regulo pure: rove se dubo kaj muke
  - regulo remo: zava se keso kaj zosu
  - regulo nabe: keso se zosu kaj rove
  - regulo gubi: muke se nuru kaj kuse
Lemo ke plej shortens pruvo kio?

Axiómák: tény nuru; tény dubo; tény kuse.
Indulók: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Cél: zava.
Szabályok:
  - szabály zozo: rove ha muke és zosu
  - szabály biru: zosu ha muke és dubo
  - szabály pure: rove ha dubo és muke
  - szabály remo: zava ha keso és zosu
  - szabály nabe: keso ha zosu és rove
  - szabály gubi: muke ha nuru és kuse
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:nuru; 事實:dubo; 事實:kuse.
候選人:k0lemmazosu; k1lemmamuke; k2lemmakeso; k3lemmarove.
入波:zava.
rules:
  - rulezozo:rove要是muke及zosu
  - rulebiru:zosu要是muke及dubo
  - rulepure:rove要是dubo及muke
  - ruleremo:zava要是keso及zosu
  - rulenabe:keso要是zosu及rove
  - rulegubi:muke要是nuru及kuse
lemma嘅多數shortensproof乜嘢?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke とぅ zosu
  - rule biru: zosu muke とぅ dubo
  - rule pure: rove dubo とぅ muke
  - rule remo: zava keso とぅ zosu
  - rule nabe: keso zosu とぅ rove
  - rule gubi: muke nuru とぅ kuse
Lemma that most shortens proof what?

Аксиома: факт nuru; факт dubo; факт kuse.
Үміткер: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Мақсат: zava.
Ереже:
  - ереже zozo: rove егер muke және zosu
  - ереже biru: zosu егер muke және dubo
  - ереже pure: rove егер dubo және muke
  - ереже remo: zava егер keso және zosu
  - ереже nabe: keso егер zosu және rove
  - ереже gubi: muke егер nuru және kuse
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה nuru; עובדה dubo; עובדה kuse.
מועמדת: k0 למה zosu; k1 למה muke; k2 למה keso; k3 למה rove.
מַטָּרָה: zava.
מָשַׁל:
  - מָשַׁל zozo: rove אִם muke וְ־ zosu
  - מָשַׁל biru: zosu אִם muke וְ־ dubo
  - מָשַׁל pure: rove אִם dubo וְ־ muke
  - מָשַׁל remo: zava אִם keso וְ־ zosu
  - מָשַׁל nabe: keso אִם zosu וְ־ rove
  - מָשַׁל gubi: muke אִם nuru וְ־ kuse
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke დო zosu
  - rule biru: zosu muke დო dubo
  - rule pure: rove dubo დო muke
  - rule remo: zava keso დო zosu
  - rule nabe: keso zosu დო rove
  - rule gubi: muke nuru დო kuse
Lemma that most shortens proof what?

Aksioma-aksioma: fact nuru; fact dubo; fact kuse.
Kandidat: k0 lema zosu; k1 lema muke; k2 lema keso; k3 lema rove.
Tujuan: zava.
Rules:
  - rule zozo: rove jika muke dan zosu
  - rule biru: zosu jika muke dan dubo
  - rule pure: rove jika dubo dan muke
  - rule remo: zava jika keso dan zosu
  - rule nabe: keso jika zosu dan rove
  - rule gubi: muke jika nuru dan kuse
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:nuru; fact:dubo; fact:kuse.
បេក្ខជន:k0lemmazosu; k1lemmamuke; k2lemmakeso; k3lemmarove.
ទិស:zava.
ក្បួន:
  - ក្បួនzozo:roveបើmukeនឹងzosu
  - ក្បួនbiru:zosuបើmukeនឹងdubo
  - ក្បួនpure:roveបើduboនឹងmuke
  - ក្បួនremo:zavaបើkesoនឹងzosu
  - ក្បួនnabe:kesoបើzosuនឹងrove
  - ក្បួនgubi:mukeបើnuruនឹងkuse
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:nuru; fact:dubo; fact:kuse.
ຜູ້ສະໝັກ:k0lemmazosu; k1lemmamuke; k2lemmakeso; k3lemmarove.
ເປົ້າໝາຍ:zava.
ກະຕິກາ:
  - ກະຕິກາzozo:roveຖ້າmukeແລະzosu
  - ກະຕິກາbiru:zosuຖ້າmukeແລະdubo
  - ກະຕິກາpure:roveຖ້າduboແລະmuke
  - ກະຕິກາremo:zavaຖ້າkesoແລະzosu
  - ກະຕິກາnabe:kesoຖ້າzosuແລະrove
  - ກະຕິກາgubi:mukeຖ້າnuruແລະkuse
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి nuru; నిజానికి dubo; నిజానికి kuse.
candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
లక్ష్యం: zava.
నియమం:
  - నియమం zozo: అయితే muke మరియు zosu అప్పుడు rove
  - నియమం biru: అయితే muke మరియు dubo అప్పుడు zosu
  - నియమం pure: అయితే dubo మరియు muke అప్పుడు rove
  - నియమం remo: అయితే keso మరియు zosu అప్పుడు zava
  - నియమం nabe: అయితే zosu మరియు rove అప్పుడు keso
  - నియమం gubi: అయితే nuru మరియు kuse అప్పుడు muke
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
What lemma that most shortens proof?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke zosu rove
  - rule biru: muke dubo zosu
  - rule pure: dubo muke rove
  - rule remo: keso zosu zava
  - rule nabe: zosu rove keso
  - rule gubi: nuru kuse muke
Lemma that most shortens the proof what?

axioms: fact nuru; fact dubo; fact kuse.
candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
goal: zava.
rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 lemma zosu; k1 lemma muke; k2 lemma keso; k3 lemma rove.
Goal: zava.
Rules:
  - rule zozo: rove muke zosu
  - rule biru: zosu muke dubo
  - rule pure: rove dubo muke
  - rule remo: zava keso zosu
  - rule nabe: keso zosu rove
  - rule gubi: muke nuru kuse
Lemma that most shortens proof what?

Axioms: fact nuru; fact dubo; fact kuse.
Candidates: k0 zosu lemma; k1 muke lemma; k2 keso lemma; k3 rove lemma.
Goal: zava.
Rules:
  - rule zozo: muke zosu rove
  - rule biru: muke dubo zosu
  - rule pure: dubo muke rove
  - rule remo: keso zosu zava
  - rule nabe: zosu rove keso
  - rule gubi: nuru kuse muke
Lemma that most shortens proof вуч?

The axioms are: fact bosi; fact kido; fact reda.
The candidates are: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
The goal is midu.
The rules are:
  - rule muzi: mebi if bosi and besu
  - rule sepo: megi if mebi
  - rule geri: niga if reda and bosi
  - rule nose: besu if kido
  - rule tipo: midu if megi and niga
  - rule duma: mebi if besu and niga
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: bosi; el hecho: kido; el hecho: reda.
Los candidatos son: k0 el lema besu; k1 el lema niga; k2 el lema megi; k3 el lema mebi.
El objetivo es midu.
Las reglas son:
  - regla muzi: mebi si bosi y besu
  - regla sepo: megi si mebi
  - regla geri: niga si reda y bosi
  - regla nose: besu si kido
  - regla tipo: midu si megi y niga
  - regla duma: mebi si besu y niga
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：bosi；事实：kido；事实：reda。
候选项如下：k0的引理是besu；k1的引理是niga；k2的引理是megi；k3的引理是mebi。
目标是midu。
规则如下：
  - 规则muzi：若bosi和besu则mebi
  - 规则sepo：若mebi则megi
  - 规则geri：若reda和bosi则niga
  - 规则nose：若kido则besu
  - 规则tipo：若megi和niga则midu
  - 规则duma：若besu和niga则mebi
的引理是that大多数shortens这证明什么？

Belitler: olgu: bosi; olgu: kido; olgu: reda.
Adaylar: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Hedef midu.
Kurallar:
  - kural muzi: eğer bosi ve besu ise mebi
  - kural sepo: eğer mebi ise megi
  - kural geri: eğer reda ve bosi ise niga
  - kural nose: eğer kido ise besu
  - kural tipo: eğer megi ve niga ise midu
  - kural duma: eğer besu ve niga ise mebi
Lemma that çoğu shortens ispat ne?

Axioms: fact: bosi; fact: kido; fact: reda.
Wagombea ni: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Lengo ni midu.
Sheria ni:
  - kanuni muzi: kama bosi na besu basi mebi
  - kanuni sepo: kama mebi basi megi
  - kanuni geri: kama reda na bosi basi niga
  - kanuni nose: kama kido basi besu
  - kanuni tipo: kama megi na niga basi midu
  - kanuni duma: kama besu na niga basi mebi
Lemma that wengi shortens proof nini?

The axioms are: fact bosi; fact kido; fact reda.
The candidates are: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
The goal is midu.
The rules are:
  - rule muzi: mebi if bosi and besu
  - rule sepo: megi if mebi
  - rule geri: niga if reda and bosi
  - rule nose: besu if kido
  - rule tipo: midu if megi and niga
  - rule duma: mebi if besu and niga
What is the lemma that most shortens the proof?

{axioms: [(fact bosi) (fact kido) (fact reda)], candidates: [(lemma k0 besu) (lemma k1 niga) (lemma k2 megi) (lemma k3 mebi)], goal: midu, query: lemma_that_most_shortens_the_proof, rules: [(rule muzi mebi [bosi besu]) (rule sepo megi [mebi]) (rule geri niga [reda bosi]) (rule nose besu [kido]) (rule tipo midu [megi niga]) (rule duma mebi [besu niga])]}

Axiome: Tatsache bosi; Tatsache kido; Tatsache reda.
Die Kandidaten sind: k0 Lemma besu; k1 Lemma niga; k2 Lemma megi; k3 Lemma mebi.
Ziel: midu.
Die Regeln sind:
  - Regel muzi: mebi wenn bosi und besu
  - Regel sepo: megi wenn mebi
  - Regel geri: niga wenn reda und bosi
  - Regel nose: besu wenn kido
  - Regel tipo: midu wenn megi und niga
  - Regel duma: mebi wenn besu und niga
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница bosi; чи̏њеница kido; чи̏њеница reda.
Кандѝда̄т: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Ци̑љ: midu.
Пра̏вило:
  - пра̏вило muzi: mebi ȁko bosi и besu
  - пра̏вило sepo: megi ȁko mebi
  - пра̏вило geri: niga ȁko reda и bosi
  - пра̏вило nose: besu ȁko kido
  - пра̏вило tipo: midu ȁko megi и niga
  - пра̏вило duma: mebi ȁko besu и niga
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia bosi; tosiasia kido; tosiasia reda.
Ehdokkaat: k0 perusmuoto besu; k1 perusmuoto niga; k2 perusmuoto megi; k3 perusmuoto mebi.
Päämäärä: midu.
Säännöt:
  - sääntö muzi: mebi jos bosi ja besu
  - sääntö sepo: megi jos mebi
  - sääntö geri: niga jos reda ja bosi
  - sääntö nose: besu jos kido
  - sääntö tipo: midu jos megi ja niga
  - sääntö duma: mebi jos besu ja niga
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：bosi；事实：kido；事实：reda。
候选项如下：k0的引理是besu；k1的引理是niga；k2的引理是megi；k3的引理是mebi。
目标是midu。
规则如下：
  - 规则muzi：若bosi和besu则mebi
  - 规则sepo：若mebi则megi
  - 规则geri：若reda和bosi则niga
  - 规则nose：若kido则besu
  - 规则tipo：若megi和niga则midu
  - 规则duma：若besu和niga则mebi
的引理是that大多数shortens这证明什么？

公理:事実:bosi; 事実:kido; 事実:reda.
候補者:k0besuレンマ; k1nigaレンマ; k2megiレンマ; k3mebiレンマ.
目標:midu.
規則:
  - 規則muzi:もし...bosiとbesuそれからmebi
  - 規則sepo:もし...mebiそれからmegi
  - 規則geri:もし...redaとbosiそれからniga
  - 規則nose:もし...kidoそれからbesu
  - 規則tipo:もし...megiとnigaそれからmidu
  - 規則duma:もし...besuとnigaそれからmebi
レンマその大部分shortens証拠何と?

Belitler: olgu: bosi; olgu: kido; olgu: reda.
Adaylar: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Hedef midu.
Kurallar:
  - kural muzi: eğer bosi ve besu ise mebi
  - kural sepo: eğer mebi ise megi
  - kural geri: eğer reda ve bosi ise niga
  - kural nose: eğer kido ise besu
  - kural tipo: eğer megi ve niga ise midu
  - kural duma: eğer besu ve niga ise mebi
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة bosi؛ مَعْلُومَة kido؛ مَعْلُومَة reda.
مُرَشَّح: سُدَّة k0 besu؛ سُدَّة k1 niga؛ سُدَّة k2 megi؛ سُدَّة k3 mebi.
هَدَف: midu.
قَانُون:
  - قَانُون muzi: mebi إِنْ bosi وَـ besu
  - قَانُون sepo: megi إِنْ mebi
  - قَانُون geri: niga إِنْ reda وَـ bosi
  - قَانُون nose: besu إِنْ kido
  - قَانُون tipo: midu إِنْ megi وَـ niga
  - قَانُون duma: mebi إِنْ besu وَـ niga
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი bosi; ფაქტი kido; ფაქტი reda.
Კანდიდატები: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Მიზანი: midu.
Წესი:
  - წესი muzi: თუ bosi და besu მერე mebi
  - წესი sepo: თუ mebi მერე megi
  - წესი geri: თუ reda და bosi მერე niga
  - წესი nose: თუ kido მერე besu
  - წესი tipo: თუ megi და niga მერე midu
  - წესი duma: თუ besu და niga მერე mebi
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka bosi; meka kido; meka reda.
Kaiwhakauru: lemma k0 besu; lemma k1 niga; lemma k2 megi; lemma k3 mebi.
Hemonga: midu.
Rekureihana:
  - rekureihana muzi: mebi mēnā bosi me besu
  - rekureihana sepo: megi mēnā mebi
  - rekureihana geri: niga mēnā reda me bosi
  - rekureihana nose: besu mēnā kido
  - rekureihana tipo: midu mēnā megi me niga
  - rekureihana duma: mebi mēnā besu me niga
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật bosi; sự thật kido; sự thật reda.
Candidates: k0 mục từ besu; k1 mục từ niga; k2 mục từ megi; k3 mục từ mebi.
Mục tiêu: midu.
Quy tắc:
  - rule muzi: mebi nếu bosi và besu
  - rule sepo: megi nếu mebi
  - rule geri: niga nếu reda và bosi
  - rule nose: besu nếu kido
  - rule tipo: midu nếu megi và niga
  - rule duma: mebi nếu besu và niga
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:bosi; ข้อเท็จจริง:kido; ข้อเท็จจริง:reda.
ผู้สมัคร:k0lemmabesu; k1lemmaniga; k2lemmamegi; k3lemmamebi.
เป้าหมาย:midu.
กฎ:
  - กฎmuzi:mebibosiและbesu
  - กฎsepo:megimebi
  - กฎgeri:nigaredaและbosi
  - กฎnose:besukido
  - กฎtipo:midumegiและniga
  - กฎduma:mebibesuและniga
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact bosi; fact kido; fact reda.
வேட்பாளர்: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
goal: midu.
rules:
  - ஆள் muzi: என்றால் bosi மற்றும் besu mebi
  - ஆள் sepo: என்றால் mebi megi
  - ஆள் geri: என்றால் reda மற்றும் bosi niga
  - ஆள் nose: என்றால் kido besu
  - ஆள் tipo: என்றால் megi மற்றும் niga midu
  - ஆள் duma: என்றால் besu மற்றும் niga mebi
lemma எப்படி most shortens proof என்ன?

Axioms: fact: bosi; fact: kido; fact: reda.
Wagombea ni: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Lengo ni midu.
Sheria ni:
  - kanuni muzi: kama bosi na besu basi mebi
  - kanuni sepo: kama mebi basi megi
  - kanuni geri: kama reda na bosi basi niga
  - kanuni nose: kama kido basi besu
  - kanuni tipo: kama megi na niga basi midu
  - kanuni duma: kama besu na niga basi mebi
Lemma that wengi shortens proof nini?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Bee hazʼáanii:
  - rule muzi: ládą́ą́ʼ bosi dóó besu índa mebi
  - rule sepo: ládą́ą́ʼ mebi índa megi
  - rule geri: ládą́ą́ʼ reda dóó bosi índa niga
  - rule nose: ládą́ą́ʼ kido índa besu
  - rule tipo: ládą́ą́ʼ megi dóó niga índa midu
  - rule duma: ládą́ą́ʼ besu dóó niga índa mebi
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi aamma besu mebi
  - rule sepo: mebi megi
  - rule geri: reda aamma bosi niga
  - rule nose: kido besu
  - rule tipo: megi aamma niga midu
  - rule duma: besu aamma niga mebi
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi sapos bosi na besu
  - rule sepo: megi sapos mebi
  - rule geri: niga sapos reda na bosi
  - rule nose: besu sapos kido
  - rule tipo: midu sapos megi na niga
  - rule duma: mebi sapos besu na niga
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Nikanixi:
  - nikanixi muzi: mebi bosi besu
  - nikanixi sepo: megi mebi
  - nikanixi geri: niga reda bosi
  - nikanixi nose: besu kido
  - nikanixi tipo: midu megi niga
  - nikanixi duma: mebi besu niga
Lemma that most shortens proof kwèch?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi а besu
  - rule sepo: megi mebi
  - rule geri: niga reda а bosi
  - rule nose: besu kido
  - rule tipo: midu megi а niga
  - rule duma: mebi besu а niga
Lemma that most shortens proof фу?

공리: 사실 bosi; 사실 kido; 사실 reda.
후보자: k0 besu 올림말; k1 niga 올림말; k2 megi 올림말; k3 mebi 올림말.
목표: midu.
규칙:
  - 규칙 muzi: 만약 bosi besu 나중에 mebi
  - 규칙 sepo: 만약 mebi 나중에 megi
  - 규칙 geri: 만약 reda bosi 나중에 niga
  - 규칙 nose: 만약 kido 나중에 besu
  - 규칙 tipo: 만약 megi niga 나중에 midu
  - 규칙 duma: 만약 besu niga 나중에 mebi
올림말 그 가장 shortens 증거 무엇?

Axioms: fact bosi; fact kido; fact reda.
Kandidatu: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Helburu: midu.
Arau:
  - arau muzi: bosi eta besu mebi
  - arau sepo: mebi megi
  - arau geri: reda eta bosi niga
  - arau nose: kido besu
  - arau tipo: megi eta niga midu
  - arau duma: besu eta niga mebi
Lemma hura most shortens the proof zer?

Axioms: fact bosi; fact kido; fact reda.
ᎠᏙᎩᏯᏍᎩ: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi ᎠᎴ besu
  - rule sepo: megi mebi
  - rule geri: niga reda ᎠᎴ bosi
  - rule nose: besu kido
  - rule tipo: midu megi ᎠᎴ niga
  - rule duma: mebi besu ᎠᎴ niga
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma chay most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi ыкӏи besu mebi
  - rule sepo: mebi megi
  - rule geri: reda ыкӏи bosi niga
  - rule nose: kido besu
  - rule tipo: megi ыкӏи niga midu
  - rule duma: besu ыкӏи niga mebi
Lemma that most shortens the proof сыд?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Cai:
  - cai muzi: mebi bosi thiab besu
  - cai sepo: megi mebi
  - cai geri: niga reda thiab bosi
  - cai nose: besu kido
  - cai tipo: midu megi thiab niga
  - cai duma: mebi besu thiab niga
Lemma qhov ntawd most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma that most shortens proof ining-jak?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi micha' besu
  - rule sepo: megi mebi
  - rule geri: niga reda micha' bosi
  - rule nose: besu kido
  - rule tipo: midu megi micha' niga
  - rule duma: mebi besu micha' niga
Lemma that most shortens proof nanta?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi カ besu mebi
  - rule sepo: mebi megi
  - rule geri: reda カ bosi niga
  - rule nose: kido besu
  - rule tipo: megi カ niga midu
  - rule duma: besu カ niga mebi
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi эвыр bosi ынкъам besu
  - rule sepo: megi эвыр mebi
  - rule geri: niga эвыр reda ынкъам bosi
  - rule nose: besu эвыр kido
  - rule tipo: midu эвыр megi ынкъам niga
  - rule duma: mebi эвыр besu ынкъам niga
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi wa bosi yéetel besu
  - rule sepo: megi wa mebi
  - rule geri: niga wa reda yéetel bosi
  - rule nose: besu wa kido
  - rule tipo: midu wa megi yéetel niga
  - rule duma: mebi wa besu yéetel niga
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma that most shortens proof híli?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi na besu mebi
  - rule sepo: mebi megi
  - rule geri: reda na bosi niga
  - rule nose: kido besu
  - rule tipo: megi na niga midu
  - rule duma: besu na niga mebi
Lemma that most shortens the proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma that most shortens the proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi besu mebi
  - rule sepo: mebi megi
  - rule geri: reda bosi niga
  - rule nose: kido besu
  - rule tipo: megi niga midu
  - rule duma: besu niga mebi
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi ǂʻá besu
  - rule sepo: megi mebi
  - rule geri: niga reda ǂʻá bosi
  - rule nose: besu kido
  - rule tipo: midu megi ǂʻá niga
  - rule duma: mebi besu ǂʻá niga
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi besu mebi
  - rule sepo: mebi megi
  - rule geri: reda bosi niga
  - rule nose: kido besu
  - rule tipo: megi niga midu
  - rule duma: besu niga mebi
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi besu mebi
  - rule sepo: mebi megi
  - rule geri: reda bosi niga
  - rule nose: kido besu
  - rule tipo: megi niga midu
  - rule duma: besu niga mebi
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma that most shortens the proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma that most shortens ne proof tay?

Axiomes : fait bosi ; fait kido ; fait reda.
Les candidats sont : k0 lemme besu ; k1 lemme niga ; k2 lemme megi ; k3 lemme mebi.
Objectif : midu.
Les règles sont:
  - règle muzi: mebi si bosi et besu
  - règle sepo: megi si mebi
  - règle geri: niga si reda et bosi
  - règle nose: besu si kido
  - règle tipo: midu si megi et niga
  - règle duma: mebi si besu et niga
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto bosi; fakto kido; fakto reda.
Kandidato: k0 lemo besu; k1 lemo niga; k2 lemo megi; k3 lemo mebi.
Celo: midu.
Regulo:
  - regulo muzi: mebi se bosi kaj besu
  - regulo sepo: megi se mebi
  - regulo geri: niga se reda kaj bosi
  - regulo nose: besu se kido
  - regulo tipo: midu se megi kaj niga
  - regulo duma: mebi se besu kaj niga
Lemo ke plej shortens pruvo kio?

Axiómák: tény bosi; tény kido; tény reda.
Indulók: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Cél: midu.
Szabályok:
  - szabály muzi: mebi ha bosi és besu
  - szabály sepo: megi ha mebi
  - szabály geri: niga ha reda és bosi
  - szabály nose: besu ha kido
  - szabály tipo: midu ha megi és niga
  - szabály duma: mebi ha besu és niga
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:bosi; 事實:kido; 事實:reda.
候選人:k0lemmabesu; k1lemmaniga; k2lemmamegi; k3lemmamebi.
入波:midu.
rules:
  - rulemuzi:mebi要是bosi及besu
  - rulesepo:megi要是mebi
  - rulegeri:niga要是reda及bosi
  - rulenose:besu要是kido
  - ruletipo:midu要是megi及niga
  - ruleduma:mebi要是besu及niga
lemma嘅多數shortensproof乜嘢?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi とぅ besu
  - rule sepo: megi mebi
  - rule geri: niga reda とぅ bosi
  - rule nose: besu kido
  - rule tipo: midu megi とぅ niga
  - rule duma: mebi besu とぅ niga
Lemma that most shortens proof what?

Аксиома: факт bosi; факт kido; факт reda.
Үміткер: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Мақсат: midu.
Ереже:
  - ереже muzi: mebi егер bosi және besu
  - ереже sepo: megi егер mebi
  - ереже geri: niga егер reda және bosi
  - ереже nose: besu егер kido
  - ереже tipo: midu егер megi және niga
  - ереже duma: mebi егер besu және niga
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה bosi; עובדה kido; עובדה reda.
מועמדת: k0 למה besu; k1 למה niga; k2 למה megi; k3 למה mebi.
מַטָּרָה: midu.
מָשַׁל:
  - מָשַׁל muzi: mebi אִם bosi וְ־ besu
  - מָשַׁל sepo: megi אִם mebi
  - מָשַׁל geri: niga אִם reda וְ־ bosi
  - מָשַׁל nose: besu אִם kido
  - מָשַׁל tipo: midu אִם megi וְ־ niga
  - מָשַׁל duma: mebi אִם besu וְ־ niga
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi დო besu
  - rule sepo: megi mebi
  - rule geri: niga reda დო bosi
  - rule nose: besu kido
  - rule tipo: midu megi დო niga
  - rule duma: mebi besu დო niga
Lemma that most shortens proof what?

Aksioma-aksioma: fact bosi; fact kido; fact reda.
Kandidat: k0 lema besu; k1 lema niga; k2 lema megi; k3 lema mebi.
Tujuan: midu.
Rules:
  - rule muzi: mebi jika bosi dan besu
  - rule sepo: megi jika mebi
  - rule geri: niga jika reda dan bosi
  - rule nose: besu jika kido
  - rule tipo: midu jika megi dan niga
  - rule duma: mebi jika besu dan niga
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:bosi; fact:kido; fact:reda.
បេក្ខជន:k0lemmabesu; k1lemmaniga; k2lemmamegi; k3lemmamebi.
ទិស:midu.
ក្បួន:
  - ក្បួនmuzi:mebiបើbosiនឹងbesu
  - ក្បួនsepo:megiបើmebi
  - ក្បួនgeri:nigaបើredaនឹងbosi
  - ក្បួនnose:besuបើkido
  - ក្បួនtipo:miduបើmegiនឹងniga
  - ក្បួនduma:mebiបើbesuនឹងniga
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:bosi; fact:kido; fact:reda.
ຜູ້ສະໝັກ:k0lemmabesu; k1lemmaniga; k2lemmamegi; k3lemmamebi.
ເປົ້າໝາຍ:midu.
ກະຕິກາ:
  - ກະຕິກາmuzi:mebiຖ້າbosiແລະbesu
  - ກະຕິກາsepo:megiຖ້າmebi
  - ກະຕິກາgeri:nigaຖ້າredaແລະbosi
  - ກະຕິກາnose:besuຖ້າkido
  - ກະຕິກາtipo:miduຖ້າmegiແລະniga
  - ກະຕິກາduma:mebiຖ້າbesuແລະniga
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి bosi; నిజానికి kido; నిజానికి reda.
candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
లక్ష్యం: midu.
నియమం:
  - నియమం muzi: అయితే bosi మరియు besu అప్పుడు mebi
  - నియమం sepo: అయితే mebi అప్పుడు megi
  - నియమం geri: అయితే reda మరియు bosi అప్పుడు niga
  - నియమం nose: అయితే kido అప్పుడు besu
  - నియమం tipo: అయితే megi మరియు niga అప్పుడు midu
  - నియమం duma: అయితే besu మరియు niga అప్పుడు mebi
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
What lemma that most shortens proof?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi besu mebi
  - rule sepo: mebi megi
  - rule geri: reda bosi niga
  - rule nose: kido besu
  - rule tipo: megi niga midu
  - rule duma: besu niga mebi
Lemma that most shortens the proof what?

axioms: fact bosi; fact kido; fact reda.
candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
goal: midu.
rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 lemma besu; k1 lemma niga; k2 lemma megi; k3 lemma mebi.
Goal: midu.
Rules:
  - rule muzi: mebi bosi besu
  - rule sepo: megi mebi
  - rule geri: niga reda bosi
  - rule nose: besu kido
  - rule tipo: midu megi niga
  - rule duma: mebi besu niga
Lemma that most shortens proof what?

Axioms: fact bosi; fact kido; fact reda.
Candidates: k0 besu lemma; k1 niga lemma; k2 megi lemma; k3 mebi lemma.
Goal: midu.
Rules:
  - rule muzi: bosi besu mebi
  - rule sepo: mebi megi
  - rule geri: reda bosi niga
  - rule nose: kido besu
  - rule tipo: megi niga midu
  - rule duma: besu niga mebi
Lemma that most shortens proof вуч?

The axioms are: fact zine; fact mivi; fact taru.
The candidates are: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
The goal is sese.
The rules are:
  - rule gutu: zone if risi and nivi
  - rule siza: sese if zone and nivi
  - rule kiri: risi if taru and mivi
  - rule zazo: nivi if taru and mivi
  - rule vomu: zoni if zone and nivi
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: zine; el hecho: mivi; el hecho: taru.
Los candidatos son: k0 el lema risi; k1 el lema zoni; k2 el lema zone; k3 el lema nivi.
El objetivo es sese.
Las reglas son:
  - regla gutu: zone si risi y nivi
  - regla siza: sese si zone y nivi
  - regla kiri: risi si taru y mivi
  - regla zazo: nivi si taru y mivi
  - regla vomu: zoni si zone y nivi
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：zine；事实：mivi；事实：taru。
候选项如下：k0的引理是risi；k1的引理是zoni；k2的引理是zone；k3的引理是nivi。
目标是sese。
规则如下：
  - 规则gutu：若risi和nivi则zone
  - 规则siza：若zone和nivi则sese
  - 规则kiri：若taru和mivi则risi
  - 规则zazo：若taru和mivi则nivi
  - 规则vomu：若zone和nivi则zoni
的引理是that大多数shortens这证明什么？

Belitler: olgu: zine; olgu: mivi; olgu: taru.
Adaylar: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Hedef sese.
Kurallar:
  - kural gutu: eğer risi ve nivi ise zone
  - kural siza: eğer zone ve nivi ise sese
  - kural kiri: eğer taru ve mivi ise risi
  - kural zazo: eğer taru ve mivi ise nivi
  - kural vomu: eğer zone ve nivi ise zoni
Lemma that çoğu shortens ispat ne?

Axioms: fact: zine; fact: mivi; fact: taru.
Wagombea ni: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Lengo ni sese.
Sheria ni:
  - kanuni gutu: kama risi na nivi basi zone
  - kanuni siza: kama zone na nivi basi sese
  - kanuni kiri: kama taru na mivi basi risi
  - kanuni zazo: kama taru na mivi basi nivi
  - kanuni vomu: kama zone na nivi basi zoni
Lemma that wengi shortens proof nini?

The axioms are: fact zine; fact mivi; fact taru.
The candidates are: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
The goal is sese.
The rules are:
  - rule gutu: zone if risi and nivi
  - rule siza: sese if zone and nivi
  - rule kiri: risi if taru and mivi
  - rule zazo: nivi if taru and mivi
  - rule vomu: zoni if zone and nivi
What is the lemma that most shortens the proof?

{axioms: [(fact zine) (fact mivi) (fact taru)], candidates: [(lemma k0 risi) (lemma k1 zoni) (lemma k2 zone) (lemma k3 nivi)], goal: sese, query: lemma_that_most_shortens_the_proof, rules: [(rule gutu zone [risi nivi]) (rule siza sese [zone nivi]) (rule kiri risi [taru mivi]) (rule zazo nivi [taru mivi]) (rule vomu zoni [zone nivi])]}

Axiome: Tatsache zine; Tatsache mivi; Tatsache taru.
Die Kandidaten sind: k0 Lemma risi; k1 Lemma zoni; k2 Lemma zone; k3 Lemma nivi.
Ziel: sese.
Die Regeln sind:
  - Regel gutu: zone wenn risi und nivi
  - Regel siza: sese wenn zone und nivi
  - Regel kiri: risi wenn taru und mivi
  - Regel zazo: nivi wenn taru und mivi
  - Regel vomu: zoni wenn zone und nivi
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница zine; чи̏њеница mivi; чи̏њеница taru.
Кандѝда̄т: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Ци̑љ: sese.
Пра̏вило:
  - пра̏вило gutu: zone ȁko risi и nivi
  - пра̏вило siza: sese ȁko zone и nivi
  - пра̏вило kiri: risi ȁko taru и mivi
  - пра̏вило zazo: nivi ȁko taru и mivi
  - пра̏вило vomu: zoni ȁko zone и nivi
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia zine; tosiasia mivi; tosiasia taru.
Ehdokkaat: k0 perusmuoto risi; k1 perusmuoto zoni; k2 perusmuoto zone; k3 perusmuoto nivi.
Päämäärä: sese.
Säännöt:
  - sääntö gutu: zone jos risi ja nivi
  - sääntö siza: sese jos zone ja nivi
  - sääntö kiri: risi jos taru ja mivi
  - sääntö zazo: nivi jos taru ja mivi
  - sääntö vomu: zoni jos zone ja nivi
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：zine；事实：mivi；事实：taru。
候选项如下：k0的引理是risi；k1的引理是zoni；k2的引理是zone；k3的引理是nivi。
目标是sese。
规则如下：
  - 规则gutu：若risi和nivi则zone
  - 规则siza：若zone和nivi则sese
  - 规则kiri：若taru和mivi则risi
  - 规则zazo：若taru和mivi则nivi
  - 规则vomu：若zone和nivi则zoni
的引理是that大多数shortens这证明什么？

公理:事実:zine; 事実:mivi; 事実:taru.
候補者:k0risiレンマ; k1zoniレンマ; k2zoneレンマ; k3niviレンマ.
目標:sese.
規則:
  - 規則gutu:もし...risiとniviそれからzone
  - 規則siza:もし...zoneとniviそれからsese
  - 規則kiri:もし...taruとmiviそれからrisi
  - 規則zazo:もし...taruとmiviそれからnivi
  - 規則vomu:もし...zoneとniviそれからzoni
レンマその大部分shortens証拠何と?

Belitler: olgu: zine; olgu: mivi; olgu: taru.
Adaylar: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Hedef sese.
Kurallar:
  - kural gutu: eğer risi ve nivi ise zone
  - kural siza: eğer zone ve nivi ise sese
  - kural kiri: eğer taru ve mivi ise risi
  - kural zazo: eğer taru ve mivi ise nivi
  - kural vomu: eğer zone ve nivi ise zoni
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة zine؛ مَعْلُومَة mivi؛ مَعْلُومَة taru.
مُرَشَّح: سُدَّة k0 risi؛ سُدَّة k1 zoni؛ سُدَّة k2 zone؛ سُدَّة k3 nivi.
هَدَف: sese.
قَانُون:
  - قَانُون gutu: zone إِنْ risi وَـ nivi
  - قَانُون siza: sese إِنْ zone وَـ nivi
  - قَانُون kiri: risi إِنْ taru وَـ mivi
  - قَانُون zazo: nivi إِنْ taru وَـ mivi
  - قَانُون vomu: zoni إِنْ zone وَـ nivi
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი zine; ფაქტი mivi; ფაქტი taru.
Კანდიდატები: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Მიზანი: sese.
Წესი:
  - წესი gutu: თუ risi და nivi მერე zone
  - წესი siza: თუ zone და nivi მერე sese
  - წესი kiri: თუ taru და mivi მერე risi
  - წესი zazo: თუ taru და mivi მერე nivi
  - წესი vomu: თუ zone და nivi მერე zoni
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka zine; meka mivi; meka taru.
Kaiwhakauru: lemma k0 risi; lemma k1 zoni; lemma k2 zone; lemma k3 nivi.
Hemonga: sese.
Rekureihana:
  - rekureihana gutu: zone mēnā risi me nivi
  - rekureihana siza: sese mēnā zone me nivi
  - rekureihana kiri: risi mēnā taru me mivi
  - rekureihana zazo: nivi mēnā taru me mivi
  - rekureihana vomu: zoni mēnā zone me nivi
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật zine; sự thật mivi; sự thật taru.
Candidates: k0 mục từ risi; k1 mục từ zoni; k2 mục từ zone; k3 mục từ nivi.
Mục tiêu: sese.
Quy tắc:
  - rule gutu: zone nếu risi và nivi
  - rule siza: sese nếu zone và nivi
  - rule kiri: risi nếu taru và mivi
  - rule zazo: nivi nếu taru và mivi
  - rule vomu: zoni nếu zone và nivi
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:zine; ข้อเท็จจริง:mivi; ข้อเท็จจริง:taru.
ผู้สมัคร:k0lemmarisi; k1lemmazoni; k2lemmazone; k3lemmanivi.
เป้าหมาย:sese.
กฎ:
  - กฎgutu:zonerisiและnivi
  - กฎsiza:sesezoneและnivi
  - กฎkiri:risitaruและmivi
  - กฎzazo:nivitaruและmivi
  - กฎvomu:zonizoneและnivi
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact zine; fact mivi; fact taru.
வேட்பாளர்: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
goal: sese.
rules:
  - ஆள் gutu: என்றால் risi மற்றும் nivi zone
  - ஆள் siza: என்றால் zone மற்றும் nivi sese
  - ஆள் kiri: என்றால் taru மற்றும் mivi risi
  - ஆள் zazo: என்றால் taru மற்றும் mivi nivi
  - ஆள் vomu: என்றால் zone மற்றும் nivi zoni
lemma எப்படி most shortens proof என்ன?

Axioms: fact: zine; fact: mivi; fact: taru.
Wagombea ni: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Lengo ni sese.
Sheria ni:
  - kanuni gutu: kama risi na nivi basi zone
  - kanuni siza: kama zone na nivi basi sese
  - kanuni kiri: kama taru na mivi basi risi
  - kanuni zazo: kama taru na mivi basi nivi
  - kanuni vomu: kama zone na nivi basi zoni
Lemma that wengi shortens proof nini?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Bee hazʼáanii:
  - rule gutu: ládą́ą́ʼ risi dóó nivi índa zone
  - rule siza: ládą́ą́ʼ zone dóó nivi índa sese
  - rule kiri: ládą́ą́ʼ taru dóó mivi índa risi
  - rule zazo: ládą́ą́ʼ taru dóó mivi índa nivi
  - rule vomu: ládą́ą́ʼ zone dóó nivi índa zoni
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi aamma nivi zone
  - rule siza: zone aamma nivi sese
  - rule kiri: taru aamma mivi risi
  - rule zazo: taru aamma mivi nivi
  - rule vomu: zone aamma nivi zoni
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone sapos risi na nivi
  - rule siza: sese sapos zone na nivi
  - rule kiri: risi sapos taru na mivi
  - rule zazo: nivi sapos taru na mivi
  - rule vomu: zoni sapos zone na nivi
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Nikanixi:
  - nikanixi gutu: zone risi nivi
  - nikanixi siza: sese zone nivi
  - nikanixi kiri: risi taru mivi
  - nikanixi zazo: nivi taru mivi
  - nikanixi vomu: zoni zone nivi
Lemma that most shortens proof kwèch?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi а nivi
  - rule siza: sese zone а nivi
  - rule kiri: risi taru а mivi
  - rule zazo: nivi taru а mivi
  - rule vomu: zoni zone а nivi
Lemma that most shortens proof фу?

공리: 사실 zine; 사실 mivi; 사실 taru.
후보자: k0 risi 올림말; k1 zoni 올림말; k2 zone 올림말; k3 nivi 올림말.
목표: sese.
규칙:
  - 규칙 gutu: 만약 risi nivi 나중에 zone
  - 규칙 siza: 만약 zone nivi 나중에 sese
  - 규칙 kiri: 만약 taru mivi 나중에 risi
  - 규칙 zazo: 만약 taru mivi 나중에 nivi
  - 규칙 vomu: 만약 zone nivi 나중에 zoni
올림말 그 가장 shortens 증거 무엇?

Axioms: fact zine; fact mivi; fact taru.
Kandidatu: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Helburu: sese.
Arau:
  - arau gutu: risi eta nivi zone
  - arau siza: zone eta nivi sese
  - arau kiri: taru eta mivi risi
  - arau zazo: taru eta mivi nivi
  - arau vomu: zone eta nivi zoni
Lemma hura most shortens the proof zer?

Axioms: fact zine; fact mivi; fact taru.
ᎠᏙᎩᏯᏍᎩ: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi ᎠᎴ nivi
  - rule siza: sese zone ᎠᎴ nivi
  - rule kiri: risi taru ᎠᎴ mivi
  - rule zazo: nivi taru ᎠᎴ mivi
  - rule vomu: zoni zone ᎠᎴ nivi
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma chay most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi ыкӏи nivi zone
  - rule siza: zone ыкӏи nivi sese
  - rule kiri: taru ыкӏи mivi risi
  - rule zazo: taru ыкӏи mivi nivi
  - rule vomu: zone ыкӏи nivi zoni
Lemma that most shortens the proof сыд?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Cai:
  - cai gutu: zone risi thiab nivi
  - cai siza: sese zone thiab nivi
  - cai kiri: risi taru thiab mivi
  - cai zazo: nivi taru thiab mivi
  - cai vomu: zoni zone thiab nivi
Lemma qhov ntawd most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma that most shortens proof ining-jak?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi micha' nivi
  - rule siza: sese zone micha' nivi
  - rule kiri: risi taru micha' mivi
  - rule zazo: nivi taru micha' mivi
  - rule vomu: zoni zone micha' nivi
Lemma that most shortens proof nanta?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi カ nivi zone
  - rule siza: zone カ nivi sese
  - rule kiri: taru カ mivi risi
  - rule zazo: taru カ mivi nivi
  - rule vomu: zone カ nivi zoni
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone эвыр risi ынкъам nivi
  - rule siza: sese эвыр zone ынкъам nivi
  - rule kiri: risi эвыр taru ынкъам mivi
  - rule zazo: nivi эвыр taru ынкъам mivi
  - rule vomu: zoni эвыр zone ынкъам nivi
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone wa risi yéetel nivi
  - rule siza: sese wa zone yéetel nivi
  - rule kiri: risi wa taru yéetel mivi
  - rule zazo: nivi wa taru yéetel mivi
  - rule vomu: zoni wa zone yéetel nivi
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma that most shortens proof híli?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi na nivi zone
  - rule siza: zone na nivi sese
  - rule kiri: taru na mivi risi
  - rule zazo: taru na mivi nivi
  - rule vomu: zone na nivi zoni
Lemma that most shortens the proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma that most shortens the proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi nivi zone
  - rule siza: zone nivi sese
  - rule kiri: taru mivi risi
  - rule zazo: taru mivi nivi
  - rule vomu: zone nivi zoni
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi ǂʻá nivi
  - rule siza: sese zone ǂʻá nivi
  - rule kiri: risi taru ǂʻá mivi
  - rule zazo: nivi taru ǂʻá mivi
  - rule vomu: zoni zone ǂʻá nivi
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi nivi zone
  - rule siza: zone nivi sese
  - rule kiri: taru mivi risi
  - rule zazo: taru mivi nivi
  - rule vomu: zone nivi zoni
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi nivi zone
  - rule siza: zone nivi sese
  - rule kiri: taru mivi risi
  - rule zazo: taru mivi nivi
  - rule vomu: zone nivi zoni
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma that most shortens the proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma that most shortens ne proof tay?

Axiomes : fait zine ; fait mivi ; fait taru.
Les candidats sont : k0 lemme risi ; k1 lemme zoni ; k2 lemme zone ; k3 lemme nivi.
Objectif : sese.
Les règles sont:
  - règle gutu: zone si risi et nivi
  - règle siza: sese si zone et nivi
  - règle kiri: risi si taru et mivi
  - règle zazo: nivi si taru et mivi
  - règle vomu: zoni si zone et nivi
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto zine; fakto mivi; fakto taru.
Kandidato: k0 lemo risi; k1 lemo zoni; k2 lemo zone; k3 lemo nivi.
Celo: sese.
Regulo:
  - regulo gutu: zone se risi kaj nivi
  - regulo siza: sese se zone kaj nivi
  - regulo kiri: risi se taru kaj mivi
  - regulo zazo: nivi se taru kaj mivi
  - regulo vomu: zoni se zone kaj nivi
Lemo ke plej shortens pruvo kio?

Axiómák: tény zine; tény mivi; tény taru.
Indulók: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Cél: sese.
Szabályok:
  - szabály gutu: zone ha risi és nivi
  - szabály siza: sese ha zone és nivi
  - szabály kiri: risi ha taru és mivi
  - szabály zazo: nivi ha taru és mivi
  - szabály vomu: zoni ha zone és nivi
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:zine; 事實:mivi; 事實:taru.
候選人:k0lemmarisi; k1lemmazoni; k2lemmazone; k3lemmanivi.
入波:sese.
rules:
  - rulegutu:zone要是risi及nivi
  - rulesiza:sese要是zone及nivi
  - rulekiri:risi要是taru及mivi
  - rulezazo:nivi要是taru及mivi
  - rulevomu:zoni要是zone及nivi
lemma嘅多數shortensproof乜嘢?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi とぅ nivi
  - rule siza: sese zone とぅ nivi
  - rule kiri: risi taru とぅ mivi
  - rule zazo: nivi taru とぅ mivi
  - rule vomu: zoni zone とぅ nivi
Lemma that most shortens proof what?

Аксиома: факт zine; факт mivi; факт taru.
Үміткер: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Мақсат: sese.
Ереже:
  - ереже gutu: zone егер risi және nivi
  - ереже siza: sese егер zone және nivi
  - ереже kiri: risi егер taru және mivi
  - ереже zazo: nivi егер taru және mivi
  - ереже vomu: zoni егер zone және nivi
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה zine; עובדה mivi; עובדה taru.
מועמדת: k0 למה risi; k1 למה zoni; k2 למה zone; k3 למה nivi.
מַטָּרָה: sese.
מָשַׁל:
  - מָשַׁל gutu: zone אִם risi וְ־ nivi
  - מָשַׁל siza: sese אִם zone וְ־ nivi
  - מָשַׁל kiri: risi אִם taru וְ־ mivi
  - מָשַׁל zazo: nivi אִם taru וְ־ mivi
  - מָשַׁל vomu: zoni אִם zone וְ־ nivi
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi დო nivi
  - rule siza: sese zone დო nivi
  - rule kiri: risi taru დო mivi
  - rule zazo: nivi taru დო mivi
  - rule vomu: zoni zone დო nivi
Lemma that most shortens proof what?

Aksioma-aksioma: fact zine; fact mivi; fact taru.
Kandidat: k0 lema risi; k1 lema zoni; k2 lema zone; k3 lema nivi.
Tujuan: sese.
Rules:
  - rule gutu: zone jika risi dan nivi
  - rule siza: sese jika zone dan nivi
  - rule kiri: risi jika taru dan mivi
  - rule zazo: nivi jika taru dan mivi
  - rule vomu: zoni jika zone dan nivi
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:zine; fact:mivi; fact:taru.
បេក្ខជន:k0lemmarisi; k1lemmazoni; k2lemmazone; k3lemmanivi.
ទិស:sese.
ក្បួន:
  - ក្បួនgutu:zoneបើrisiនឹងnivi
  - ក្បួនsiza:seseបើzoneនឹងnivi
  - ក្បួនkiri:risiបើtaruនឹងmivi
  - ក្បួនzazo:niviបើtaruនឹងmivi
  - ក្បួនvomu:zoniបើzoneនឹងnivi
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:zine; fact:mivi; fact:taru.
ຜູ້ສະໝັກ:k0lemmarisi; k1lemmazoni; k2lemmazone; k3lemmanivi.
ເປົ້າໝາຍ:sese.
ກະຕິກາ:
  - ກະຕິກາgutu:zoneຖ້າrisiແລະnivi
  - ກະຕິກາsiza:seseຖ້າzoneແລະnivi
  - ກະຕິກາkiri:risiຖ້າtaruແລະmivi
  - ກະຕິກາzazo:niviຖ້າtaruແລະmivi
  - ກະຕິກາvomu:zoniຖ້າzoneແລະnivi
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి zine; నిజానికి mivi; నిజానికి taru.
candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
లక్ష్యం: sese.
నియమం:
  - నియమం gutu: అయితే risi మరియు nivi అప్పుడు zone
  - నియమం siza: అయితే zone మరియు nivi అప్పుడు sese
  - నియమం kiri: అయితే taru మరియు mivi అప్పుడు risi
  - నియమం zazo: అయితే taru మరియు mivi అప్పుడు nivi
  - నియమం vomu: అయితే zone మరియు nivi అప్పుడు zoni
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
What lemma that most shortens proof?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi nivi zone
  - rule siza: zone nivi sese
  - rule kiri: taru mivi risi
  - rule zazo: taru mivi nivi
  - rule vomu: zone nivi zoni
Lemma that most shortens the proof what?

axioms: fact zine; fact mivi; fact taru.
candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
goal: sese.
rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 lemma risi; k1 lemma zoni; k2 lemma zone; k3 lemma nivi.
Goal: sese.
Rules:
  - rule gutu: zone risi nivi
  - rule siza: sese zone nivi
  - rule kiri: risi taru mivi
  - rule zazo: nivi taru mivi
  - rule vomu: zoni zone nivi
Lemma that most shortens proof what?

Axioms: fact zine; fact mivi; fact taru.
Candidates: k0 risi lemma; k1 zoni lemma; k2 zone lemma; k3 nivi lemma.
Goal: sese.
Rules:
  - rule gutu: risi nivi zone
  - rule siza: zone nivi sese
  - rule kiri: taru mivi risi
  - rule zazo: taru mivi nivi
  - rule vomu: zone nivi zoni
Lemma that most shortens proof вуч?

The axioms are: fact kero; fact deni; fact gege.
The candidates are: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
The goal is varo.
The rules are:
  - rule zapu: tazu if kero and gege
  - rule gari: neni if tazu
  - rule nabi: tazu if gege
  - rule nazi: goku if tazu and gege
  - rule zobu: neni if tazu and kero
  - rule bevu: diba if neni
  - rule doze: varo if neni and diba
  - rule geno: goku if gege and tazu
  - rule rido: varo if neni and goku
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: kero; el hecho: deni; el hecho: gege.
Los candidatos son: k0 el lema tazu; k1 el lema diba; k2 el lema goku; k3 el lema neni.
El objetivo es varo.
Las reglas son:
  - regla zapu: tazu si kero y gege
  - regla gari: neni si tazu
  - regla nabi: tazu si gege
  - regla nazi: goku si tazu y gege
  - regla zobu: neni si tazu y kero
  - regla bevu: diba si neni
  - regla doze: varo si neni y diba
  - regla geno: goku si gege y tazu
  - regla rido: varo si neni y goku
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：kero；事实：deni；事实：gege。
候选项如下：k0的引理是tazu；k1的引理是diba；k2的引理是goku；k3的引理是neni。
目标是varo。
规则如下：
  - 规则zapu：若kero和gege则tazu
  - 规则gari：若tazu则neni
  - 规则nabi：若gege则tazu
  - 规则nazi：若tazu和gege则goku
  - 规则zobu：若tazu和kero则neni
  - 规则bevu：若neni则diba
  - 规则doze：若neni和diba则varo
  - 规则geno：若gege和tazu则goku
  - 规则rido：若neni和goku则varo
的引理是that大多数shortens这证明什么？

Belitler: olgu: kero; olgu: deni; olgu: gege.
Adaylar: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Hedef varo.
Kurallar:
  - kural zapu: eğer kero ve gege ise tazu
  - kural gari: eğer tazu ise neni
  - kural nabi: eğer gege ise tazu
  - kural nazi: eğer tazu ve gege ise goku
  - kural zobu: eğer tazu ve kero ise neni
  - kural bevu: eğer neni ise diba
  - kural doze: eğer neni ve diba ise varo
  - kural geno: eğer gege ve tazu ise goku
  - kural rido: eğer neni ve goku ise varo
Lemma that çoğu shortens ispat ne?

Axioms: fact: kero; fact: deni; fact: gege.
Wagombea ni: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Lengo ni varo.
Sheria ni:
  - kanuni zapu: kama kero na gege basi tazu
  - kanuni gari: kama tazu basi neni
  - kanuni nabi: kama gege basi tazu
  - kanuni nazi: kama tazu na gege basi goku
  - kanuni zobu: kama tazu na kero basi neni
  - kanuni bevu: kama neni basi diba
  - kanuni doze: kama neni na diba basi varo
  - kanuni geno: kama gege na tazu basi goku
  - kanuni rido: kama neni na goku basi varo
Lemma that wengi shortens proof nini?

The axioms are: fact kero; fact deni; fact gege.
The candidates are: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
The goal is varo.
The rules are:
  - rule zapu: tazu if kero and gege
  - rule gari: neni if tazu
  - rule nabi: tazu if gege
  - rule nazi: goku if tazu and gege
  - rule zobu: neni if tazu and kero
  - rule bevu: diba if neni
  - rule doze: varo if neni and diba
  - rule geno: goku if gege and tazu
  - rule rido: varo if neni and goku
What is the lemma that most shortens the proof?

{axioms: [(fact kero) (fact deni) (fact gege)], candidates: [(lemma k0 tazu) (lemma k1 diba) (lemma k2 goku) (lemma k3 neni)], goal: varo, query: lemma_that_most_shortens_the_proof, rules: [(rule zapu tazu [kero gege]) (rule gari neni [tazu]) (rule nabi tazu [gege]) (rule nazi goku [tazu gege]) (rule zobu neni [tazu kero]) (rule bevu diba [neni]) (rule doze varo [neni diba]) (rule geno goku [gege tazu]) (rule rido varo [neni goku])]}

Axiome: Tatsache kero; Tatsache deni; Tatsache gege.
Die Kandidaten sind: k0 Lemma tazu; k1 Lemma diba; k2 Lemma goku; k3 Lemma neni.
Ziel: varo.
Die Regeln sind:
  - Regel zapu: tazu wenn kero und gege
  - Regel gari: neni wenn tazu
  - Regel nabi: tazu wenn gege
  - Regel nazi: goku wenn tazu und gege
  - Regel zobu: neni wenn tazu und kero
  - Regel bevu: diba wenn neni
  - Regel doze: varo wenn neni und diba
  - Regel geno: goku wenn gege und tazu
  - Regel rido: varo wenn neni und goku
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница kero; чи̏њеница deni; чи̏њеница gege.
Кандѝда̄т: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Ци̑љ: varo.
Пра̏вило:
  - пра̏вило zapu: tazu ȁko kero и gege
  - пра̏вило gari: neni ȁko tazu
  - пра̏вило nabi: tazu ȁko gege
  - пра̏вило nazi: goku ȁko tazu и gege
  - пра̏вило zobu: neni ȁko tazu и kero
  - пра̏вило bevu: diba ȁko neni
  - пра̏вило doze: varo ȁko neni и diba
  - пра̏вило geno: goku ȁko gege и tazu
  - пра̏вило rido: varo ȁko neni и goku
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia kero; tosiasia deni; tosiasia gege.
Ehdokkaat: k0 perusmuoto tazu; k1 perusmuoto diba; k2 perusmuoto goku; k3 perusmuoto neni.
Päämäärä: varo.
Säännöt:
  - sääntö zapu: tazu jos kero ja gege
  - sääntö gari: neni jos tazu
  - sääntö nabi: tazu jos gege
  - sääntö nazi: goku jos tazu ja gege
  - sääntö zobu: neni jos tazu ja kero
  - sääntö bevu: diba jos neni
  - sääntö doze: varo jos neni ja diba
  - sääntö geno: goku jos gege ja tazu
  - sääntö rido: varo jos neni ja goku
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：kero；事实：deni；事实：gege。
候选项如下：k0的引理是tazu；k1的引理是diba；k2的引理是goku；k3的引理是neni。
目标是varo。
规则如下：
  - 规则zapu：若kero和gege则tazu
  - 规则gari：若tazu则neni
  - 规则nabi：若gege则tazu
  - 规则nazi：若tazu和gege则goku
  - 规则zobu：若tazu和kero则neni
  - 规则bevu：若neni则diba
  - 规则doze：若neni和diba则varo
  - 规则geno：若gege和tazu则goku
  - 规则rido：若neni和goku则varo
的引理是that大多数shortens这证明什么？

公理:事実:kero; 事実:deni; 事実:gege.
候補者:k0tazuレンマ; k1dibaレンマ; k2gokuレンマ; k3neniレンマ.
目標:varo.
規則:
  - 規則zapu:もし...keroとgegeそれからtazu
  - 規則gari:もし...tazuそれからneni
  - 規則nabi:もし...gegeそれからtazu
  - 規則nazi:もし...tazuとgegeそれからgoku
  - 規則zobu:もし...tazuとkeroそれからneni
  - 規則bevu:もし...neniそれからdiba
  - 規則doze:もし...neniとdibaそれからvaro
  - 規則geno:もし...gegeとtazuそれからgoku
  - 規則rido:もし...neniとgokuそれからvaro
レンマその大部分shortens証拠何と?

Belitler: olgu: kero; olgu: deni; olgu: gege.
Adaylar: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Hedef varo.
Kurallar:
  - kural zapu: eğer kero ve gege ise tazu
  - kural gari: eğer tazu ise neni
  - kural nabi: eğer gege ise tazu
  - kural nazi: eğer tazu ve gege ise goku
  - kural zobu: eğer tazu ve kero ise neni
  - kural bevu: eğer neni ise diba
  - kural doze: eğer neni ve diba ise varo
  - kural geno: eğer gege ve tazu ise goku
  - kural rido: eğer neni ve goku ise varo
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة kero؛ مَعْلُومَة deni؛ مَعْلُومَة gege.
مُرَشَّح: سُدَّة k0 tazu؛ سُدَّة k1 diba؛ سُدَّة k2 goku؛ سُدَّة k3 neni.
هَدَف: varo.
قَانُون:
  - قَانُون zapu: tazu إِنْ kero وَـ gege
  - قَانُون gari: neni إِنْ tazu
  - قَانُون nabi: tazu إِنْ gege
  - قَانُون nazi: goku إِنْ tazu وَـ gege
  - قَانُون zobu: neni إِنْ tazu وَـ kero
  - قَانُون bevu: diba إِنْ neni
  - قَانُون doze: varo إِنْ neni وَـ diba
  - قَانُون geno: goku إِنْ gege وَـ tazu
  - قَانُون rido: varo إِنْ neni وَـ goku
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი kero; ფაქტი deni; ფაქტი gege.
Კანდიდატები: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Მიზანი: varo.
Წესი:
  - წესი zapu: თუ kero და gege მერე tazu
  - წესი gari: თუ tazu მერე neni
  - წესი nabi: თუ gege მერე tazu
  - წესი nazi: თუ tazu და gege მერე goku
  - წესი zobu: თუ tazu და kero მერე neni
  - წესი bevu: თუ neni მერე diba
  - წესი doze: თუ neni და diba მერე varo
  - წესი geno: თუ gege და tazu მერე goku
  - წესი rido: თუ neni და goku მერე varo
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka kero; meka deni; meka gege.
Kaiwhakauru: lemma k0 tazu; lemma k1 diba; lemma k2 goku; lemma k3 neni.
Hemonga: varo.
Rekureihana:
  - rekureihana zapu: tazu mēnā kero me gege
  - rekureihana gari: neni mēnā tazu
  - rekureihana nabi: tazu mēnā gege
  - rekureihana nazi: goku mēnā tazu me gege
  - rekureihana zobu: neni mēnā tazu me kero
  - rekureihana bevu: diba mēnā neni
  - rekureihana doze: varo mēnā neni me diba
  - rekureihana geno: goku mēnā gege me tazu
  - rekureihana rido: varo mēnā neni me goku
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật kero; sự thật deni; sự thật gege.
Candidates: k0 mục từ tazu; k1 mục từ diba; k2 mục từ goku; k3 mục từ neni.
Mục tiêu: varo.
Quy tắc:
  - rule zapu: tazu nếu kero và gege
  - rule gari: neni nếu tazu
  - rule nabi: tazu nếu gege
  - rule nazi: goku nếu tazu và gege
  - rule zobu: neni nếu tazu và kero
  - rule bevu: diba nếu neni
  - rule doze: varo nếu neni và diba
  - rule geno: goku nếu gege và tazu
  - rule rido: varo nếu neni và goku
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:kero; ข้อเท็จจริง:deni; ข้อเท็จจริง:gege.
ผู้สมัคร:k0lemmatazu; k1lemmadiba; k2lemmagoku; k3lemmaneni.
เป้าหมาย:varo.
กฎ:
  - กฎzapu:tazukeroและgege
  - กฎgari:nenitazu
  - กฎnabi:tazugege
  - กฎnazi:gokutazuและgege
  - กฎzobu:nenitazuและkero
  - กฎbevu:dibaneni
  - กฎdoze:varoneniและdiba
  - กฎgeno:gokugegeและtazu
  - กฎrido:varoneniและgoku
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact kero; fact deni; fact gege.
வேட்பாளர்: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
goal: varo.
rules:
  - ஆள் zapu: என்றால் kero மற்றும் gege tazu
  - ஆள் gari: என்றால் tazu neni
  - ஆள் nabi: என்றால் gege tazu
  - ஆள் nazi: என்றால் tazu மற்றும் gege goku
  - ஆள் zobu: என்றால் tazu மற்றும் kero neni
  - ஆள் bevu: என்றால் neni diba
  - ஆள் doze: என்றால் neni மற்றும் diba varo
  - ஆள் geno: என்றால் gege மற்றும் tazu goku
  - ஆள் rido: என்றால் neni மற்றும் goku varo
lemma எப்படி most shortens proof என்ன?

Axioms: fact: kero; fact: deni; fact: gege.
Wagombea ni: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Lengo ni varo.
Sheria ni:
  - kanuni zapu: kama kero na gege basi tazu
  - kanuni gari: kama tazu basi neni
  - kanuni nabi: kama gege basi tazu
  - kanuni nazi: kama tazu na gege basi goku
  - kanuni zobu: kama tazu na kero basi neni
  - kanuni bevu: kama neni basi diba
  - kanuni doze: kama neni na diba basi varo
  - kanuni geno: kama gege na tazu basi goku
  - kanuni rido: kama neni na goku basi varo
Lemma that wengi shortens proof nini?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Bee hazʼáanii:
  - rule zapu: ládą́ą́ʼ kero dóó gege índa tazu
  - rule gari: ládą́ą́ʼ tazu índa neni
  - rule nabi: ládą́ą́ʼ gege índa tazu
  - rule nazi: ládą́ą́ʼ tazu dóó gege índa goku
  - rule zobu: ládą́ą́ʼ tazu dóó kero índa neni
  - rule bevu: ládą́ą́ʼ neni índa diba
  - rule doze: ládą́ą́ʼ neni dóó diba índa varo
  - rule geno: ládą́ą́ʼ gege dóó tazu índa goku
  - rule rido: ládą́ą́ʼ neni dóó goku índa varo
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero aamma gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu aamma gege goku
  - rule zobu: tazu aamma kero neni
  - rule bevu: neni diba
  - rule doze: neni aamma diba varo
  - rule geno: gege aamma tazu goku
  - rule rido: neni aamma goku varo
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu sapos kero na gege
  - rule gari: neni sapos tazu
  - rule nabi: tazu sapos gege
  - rule nazi: goku sapos tazu na gege
  - rule zobu: neni sapos tazu na kero
  - rule bevu: diba sapos neni
  - rule doze: varo sapos neni na diba
  - rule geno: goku sapos gege na tazu
  - rule rido: varo sapos neni na goku
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Nikanixi:
  - nikanixi zapu: tazu kero gege
  - nikanixi gari: neni tazu
  - nikanixi nabi: tazu gege
  - nikanixi nazi: goku tazu gege
  - nikanixi zobu: neni tazu kero
  - nikanixi bevu: diba neni
  - nikanixi doze: varo neni diba
  - nikanixi geno: goku gege tazu
  - nikanixi rido: varo neni goku
Lemma that most shortens proof kwèch?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero а gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu а gege
  - rule zobu: neni tazu а kero
  - rule bevu: diba neni
  - rule doze: varo neni а diba
  - rule geno: goku gege а tazu
  - rule rido: varo neni а goku
Lemma that most shortens proof фу?

공리: 사실 kero; 사실 deni; 사실 gege.
후보자: k0 tazu 올림말; k1 diba 올림말; k2 goku 올림말; k3 neni 올림말.
목표: varo.
규칙:
  - 규칙 zapu: 만약 kero gege 나중에 tazu
  - 규칙 gari: 만약 tazu 나중에 neni
  - 규칙 nabi: 만약 gege 나중에 tazu
  - 규칙 nazi: 만약 tazu gege 나중에 goku
  - 규칙 zobu: 만약 tazu kero 나중에 neni
  - 규칙 bevu: 만약 neni 나중에 diba
  - 규칙 doze: 만약 neni diba 나중에 varo
  - 규칙 geno: 만약 gege tazu 나중에 goku
  - 규칙 rido: 만약 neni goku 나중에 varo
올림말 그 가장 shortens 증거 무엇?

Axioms: fact kero; fact deni; fact gege.
Kandidatu: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Helburu: varo.
Arau:
  - arau zapu: kero eta gege tazu
  - arau gari: tazu neni
  - arau nabi: gege tazu
  - arau nazi: tazu eta gege goku
  - arau zobu: tazu eta kero neni
  - arau bevu: neni diba
  - arau doze: neni eta diba varo
  - arau geno: gege eta tazu goku
  - arau rido: neni eta goku varo
Lemma hura most shortens the proof zer?

Axioms: fact kero; fact deni; fact gege.
ᎠᏙᎩᏯᏍᎩ: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero ᎠᎴ gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu ᎠᎴ gege
  - rule zobu: neni tazu ᎠᎴ kero
  - rule bevu: diba neni
  - rule doze: varo neni ᎠᎴ diba
  - rule geno: goku gege ᎠᎴ tazu
  - rule rido: varo neni ᎠᎴ goku
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma chay most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero ыкӏи gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu ыкӏи gege goku
  - rule zobu: tazu ыкӏи kero neni
  - rule bevu: neni diba
  - rule doze: neni ыкӏи diba varo
  - rule geno: gege ыкӏи tazu goku
  - rule rido: neni ыкӏи goku varo
Lemma that most shortens the proof сыд?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Cai:
  - cai zapu: tazu kero thiab gege
  - cai gari: neni tazu
  - cai nabi: tazu gege
  - cai nazi: goku tazu thiab gege
  - cai zobu: neni tazu thiab kero
  - cai bevu: diba neni
  - cai doze: varo neni thiab diba
  - cai geno: goku gege thiab tazu
  - cai rido: varo neni thiab goku
Lemma qhov ntawd most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma that most shortens proof ining-jak?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero micha' gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu micha' gege
  - rule zobu: neni tazu micha' kero
  - rule bevu: diba neni
  - rule doze: varo neni micha' diba
  - rule geno: goku gege micha' tazu
  - rule rido: varo neni micha' goku
Lemma that most shortens proof nanta?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero カ gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu カ gege goku
  - rule zobu: tazu カ kero neni
  - rule bevu: neni diba
  - rule doze: neni カ diba varo
  - rule geno: gege カ tazu goku
  - rule rido: neni カ goku varo
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu эвыр kero ынкъам gege
  - rule gari: neni эвыр tazu
  - rule nabi: tazu эвыр gege
  - rule nazi: goku эвыр tazu ынкъам gege
  - rule zobu: neni эвыр tazu ынкъам kero
  - rule bevu: diba эвыр neni
  - rule doze: varo эвыр neni ынкъам diba
  - rule geno: goku эвыр gege ынкъам tazu
  - rule rido: varo эвыр neni ынкъам goku
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu wa kero yéetel gege
  - rule gari: neni wa tazu
  - rule nabi: tazu wa gege
  - rule nazi: goku wa tazu yéetel gege
  - rule zobu: neni wa tazu yéetel kero
  - rule bevu: diba wa neni
  - rule doze: varo wa neni yéetel diba
  - rule geno: goku wa gege yéetel tazu
  - rule rido: varo wa neni yéetel goku
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma that most shortens proof híli?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero na gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu na gege goku
  - rule zobu: tazu na kero neni
  - rule bevu: neni diba
  - rule doze: neni na diba varo
  - rule geno: gege na tazu goku
  - rule rido: neni na goku varo
Lemma that most shortens the proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma that most shortens the proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu gege goku
  - rule zobu: tazu kero neni
  - rule bevu: neni diba
  - rule doze: neni diba varo
  - rule geno: gege tazu goku
  - rule rido: neni goku varo
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero ǂʻá gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu ǂʻá gege
  - rule zobu: neni tazu ǂʻá kero
  - rule bevu: diba neni
  - rule doze: varo neni ǂʻá diba
  - rule geno: goku gege ǂʻá tazu
  - rule rido: varo neni ǂʻá goku
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu gege goku
  - rule zobu: tazu kero neni
  - rule bevu: neni diba
  - rule doze: neni diba varo
  - rule geno: gege tazu goku
  - rule rido: neni goku varo
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu gege goku
  - rule zobu: tazu kero neni
  - rule bevu: neni diba
  - rule doze: neni diba varo
  - rule geno: gege tazu goku
  - rule rido: neni goku varo
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma that most shortens the proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma that most shortens ne proof tay?

Axiomes : fait kero ; fait deni ; fait gege.
Les candidats sont : k0 lemme tazu ; k1 lemme diba ; k2 lemme goku ; k3 lemme neni.
Objectif : varo.
Les règles sont:
  - règle zapu: tazu si kero et gege
  - règle gari: neni si tazu
  - règle nabi: tazu si gege
  - règle nazi: goku si tazu et gege
  - règle zobu: neni si tazu et kero
  - règle bevu: diba si neni
  - règle doze: varo si neni et diba
  - règle geno: goku si gege et tazu
  - règle rido: varo si neni et goku
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto kero; fakto deni; fakto gege.
Kandidato: k0 lemo tazu; k1 lemo diba; k2 lemo goku; k3 lemo neni.
Celo: varo.
Regulo:
  - regulo zapu: tazu se kero kaj gege
  - regulo gari: neni se tazu
  - regulo nabi: tazu se gege
  - regulo nazi: goku se tazu kaj gege
  - regulo zobu: neni se tazu kaj kero
  - regulo bevu: diba se neni
  - regulo doze: varo se neni kaj diba
  - regulo geno: goku se gege kaj tazu
  - regulo rido: varo se neni kaj goku
Lemo ke plej shortens pruvo kio?

Axiómák: tény kero; tény deni; tény gege.
Indulók: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Cél: varo.
Szabályok:
  - szabály zapu: tazu ha kero és gege
  - szabály gari: neni ha tazu
  - szabály nabi: tazu ha gege
  - szabály nazi: goku ha tazu és gege
  - szabály zobu: neni ha tazu és kero
  - szabály bevu: diba ha neni
  - szabály doze: varo ha neni és diba
  - szabály geno: goku ha gege és tazu
  - szabály rido: varo ha neni és goku
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:kero; 事實:deni; 事實:gege.
候選人:k0lemmatazu; k1lemmadiba; k2lemmagoku; k3lemmaneni.
入波:varo.
rules:
  - rulezapu:tazu要是kero及gege
  - rulegari:neni要是tazu
  - rulenabi:tazu要是gege
  - rulenazi:goku要是tazu及gege
  - rulezobu:neni要是tazu及kero
  - rulebevu:diba要是neni
  - ruledoze:varo要是neni及diba
  - rulegeno:goku要是gege及tazu
  - rulerido:varo要是neni及goku
lemma嘅多數shortensproof乜嘢?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero とぅ gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu とぅ gege
  - rule zobu: neni tazu とぅ kero
  - rule bevu: diba neni
  - rule doze: varo neni とぅ diba
  - rule geno: goku gege とぅ tazu
  - rule rido: varo neni とぅ goku
Lemma that most shortens proof what?

Аксиома: факт kero; факт deni; факт gege.
Үміткер: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Мақсат: varo.
Ереже:
  - ереже zapu: tazu егер kero және gege
  - ереже gari: neni егер tazu
  - ереже nabi: tazu егер gege
  - ереже nazi: goku егер tazu және gege
  - ереже zobu: neni егер tazu және kero
  - ереже bevu: diba егер neni
  - ереже doze: varo егер neni және diba
  - ереже geno: goku егер gege және tazu
  - ереже rido: varo егер neni және goku
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה kero; עובדה deni; עובדה gege.
מועמדת: k0 למה tazu; k1 למה diba; k2 למה goku; k3 למה neni.
מַטָּרָה: varo.
מָשַׁל:
  - מָשַׁל zapu: tazu אִם kero וְ־ gege
  - מָשַׁל gari: neni אִם tazu
  - מָשַׁל nabi: tazu אִם gege
  - מָשַׁל nazi: goku אִם tazu וְ־ gege
  - מָשַׁל zobu: neni אִם tazu וְ־ kero
  - מָשַׁל bevu: diba אִם neni
  - מָשַׁל doze: varo אִם neni וְ־ diba
  - מָשַׁל geno: goku אִם gege וְ־ tazu
  - מָשַׁל rido: varo אִם neni וְ־ goku
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero დო gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu დო gege
  - rule zobu: neni tazu დო kero
  - rule bevu: diba neni
  - rule doze: varo neni დო diba
  - rule geno: goku gege დო tazu
  - rule rido: varo neni დო goku
Lemma that most shortens proof what?

Aksioma-aksioma: fact kero; fact deni; fact gege.
Kandidat: k0 lema tazu; k1 lema diba; k2 lema goku; k3 lema neni.
Tujuan: varo.
Rules:
  - rule zapu: tazu jika kero dan gege
  - rule gari: neni jika tazu
  - rule nabi: tazu jika gege
  - rule nazi: goku jika tazu dan gege
  - rule zobu: neni jika tazu dan kero
  - rule bevu: diba jika neni
  - rule doze: varo jika neni dan diba
  - rule geno: goku jika gege dan tazu
  - rule rido: varo jika neni dan goku
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:kero; fact:deni; fact:gege.
បេក្ខជន:k0lemmatazu; k1lemmadiba; k2lemmagoku; k3lemmaneni.
ទិស:varo.
ក្បួន:
  - ក្បួនzapu:tazuបើkeroនឹងgege
  - ក្បួនgari:neniបើtazu
  - ក្បួនnabi:tazuបើgege
  - ក្បួនnazi:gokuបើtazuនឹងgege
  - ក្បួនzobu:neniបើtazuនឹងkero
  - ក្បួនbevu:dibaបើneni
  - ក្បួនdoze:varoបើneniនឹងdiba
  - ក្បួនgeno:gokuបើgegeនឹងtazu
  - ក្បួនrido:varoបើneniនឹងgoku
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:kero; fact:deni; fact:gege.
ຜູ້ສະໝັກ:k0lemmatazu; k1lemmadiba; k2lemmagoku; k3lemmaneni.
ເປົ້າໝາຍ:varo.
ກະຕິກາ:
  - ກະຕິກາzapu:tazuຖ້າkeroແລະgege
  - ກະຕິກາgari:neniຖ້າtazu
  - ກະຕິກາnabi:tazuຖ້າgege
  - ກະຕິກາnazi:gokuຖ້າtazuແລະgege
  - ກະຕິກາzobu:neniຖ້າtazuແລະkero
  - ກະຕິກາbevu:dibaຖ້າneni
  - ກະຕິກາdoze:varoຖ້າneniແລະdiba
  - ກະຕິກາgeno:gokuຖ້າgegeແລະtazu
  - ກະຕິກາrido:varoຖ້າneniແລະgoku
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి kero; నిజానికి deni; నిజానికి gege.
candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
లక్ష్యం: varo.
నియమం:
  - నియమం zapu: అయితే kero మరియు gege అప్పుడు tazu
  - నియమం gari: అయితే tazu అప్పుడు neni
  - నియమం nabi: అయితే gege అప్పుడు tazu
  - నియమం nazi: అయితే tazu మరియు gege అప్పుడు goku
  - నియమం zobu: అయితే tazu మరియు kero అప్పుడు neni
  - నియమం bevu: అయితే neni అప్పుడు diba
  - నియమం doze: అయితే neni మరియు diba అప్పుడు varo
  - నియమం geno: అయితే gege మరియు tazu అప్పుడు goku
  - నియమం rido: అయితే neni మరియు goku అప్పుడు varo
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
What lemma that most shortens proof?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu gege goku
  - rule zobu: tazu kero neni
  - rule bevu: neni diba
  - rule doze: neni diba varo
  - rule geno: gege tazu goku
  - rule rido: neni goku varo
Lemma that most shortens the proof what?

axioms: fact kero; fact deni; fact gege.
candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
goal: varo.
rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 lemma tazu; k1 lemma diba; k2 lemma goku; k3 lemma neni.
Goal: varo.
Rules:
  - rule zapu: tazu kero gege
  - rule gari: neni tazu
  - rule nabi: tazu gege
  - rule nazi: goku tazu gege
  - rule zobu: neni tazu kero
  - rule bevu: diba neni
  - rule doze: varo neni diba
  - rule geno: goku gege tazu
  - rule rido: varo neni goku
Lemma that most shortens proof what?

Axioms: fact kero; fact deni; fact gege.
Candidates: k0 tazu lemma; k1 diba lemma; k2 goku lemma; k3 neni lemma.
Goal: varo.
Rules:
  - rule zapu: kero gege tazu
  - rule gari: tazu neni
  - rule nabi: gege tazu
  - rule nazi: tazu gege goku
  - rule zobu: tazu kero neni
  - rule bevu: neni diba
  - rule doze: neni diba varo
  - rule geno: gege tazu goku
  - rule rido: neni goku varo
Lemma that most shortens proof вуч?

The axioms are: fact vomo; fact dira; fact bivu.
The candidates are: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
The goal is rago.
The rules are:
  - rule dege: neta if vibo and bivu
  - rule temi: gepo if vibo and neta
  - rule bepu: rago if raki and gepo
  - rule vebo: raki if neta
  - rule noke: neta if vomo and bivu
  - rule pume: vibo if bivu and vomo
  - rule pumo: vibo if dira and vomo
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: vomo; el hecho: dira; el hecho: bivu.
Los candidatos son: k0 el lema gepo; k1 el lema raki; k2 el lema vibo; k3 el lema neta.
El objetivo es rago.
Las reglas son:
  - regla dege: neta si vibo y bivu
  - regla temi: gepo si vibo y neta
  - regla bepu: rago si raki y gepo
  - regla vebo: raki si neta
  - regla noke: neta si vomo y bivu
  - regla pume: vibo si bivu y vomo
  - regla pumo: vibo si dira y vomo
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：vomo；事实：dira；事实：bivu。
候选项如下：k0的引理是gepo；k1的引理是raki；k2的引理是vibo；k3的引理是neta。
目标是rago。
规则如下：
  - 规则dege：若vibo和bivu则neta
  - 规则temi：若vibo和neta则gepo
  - 规则bepu：若raki和gepo则rago
  - 规则vebo：若neta则raki
  - 规则noke：若vomo和bivu则neta
  - 规则pume：若bivu和vomo则vibo
  - 规则pumo：若dira和vomo则vibo
的引理是that大多数shortens这证明什么？

Belitler: olgu: vomo; olgu: dira; olgu: bivu.
Adaylar: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Hedef rago.
Kurallar:
  - kural dege: eğer vibo ve bivu ise neta
  - kural temi: eğer vibo ve neta ise gepo
  - kural bepu: eğer raki ve gepo ise rago
  - kural vebo: eğer neta ise raki
  - kural noke: eğer vomo ve bivu ise neta
  - kural pume: eğer bivu ve vomo ise vibo
  - kural pumo: eğer dira ve vomo ise vibo
Lemma that çoğu shortens ispat ne?

Axioms: fact: vomo; fact: dira; fact: bivu.
Wagombea ni: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Lengo ni rago.
Sheria ni:
  - kanuni dege: kama vibo na bivu basi neta
  - kanuni temi: kama vibo na neta basi gepo
  - kanuni bepu: kama raki na gepo basi rago
  - kanuni vebo: kama neta basi raki
  - kanuni noke: kama vomo na bivu basi neta
  - kanuni pume: kama bivu na vomo basi vibo
  - kanuni pumo: kama dira na vomo basi vibo
Lemma that wengi shortens proof nini?

The axioms are: fact vomo; fact dira; fact bivu.
The candidates are: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
The goal is rago.
The rules are:
  - rule dege: neta if vibo and bivu
  - rule temi: gepo if vibo and neta
  - rule bepu: rago if raki and gepo
  - rule vebo: raki if neta
  - rule noke: neta if vomo and bivu
  - rule pume: vibo if bivu and vomo
  - rule pumo: vibo if dira and vomo
What is the lemma that most shortens the proof?

{axioms: [(fact vomo) (fact dira) (fact bivu)], candidates: [(lemma k0 gepo) (lemma k1 raki) (lemma k2 vibo) (lemma k3 neta)], goal: rago, query: lemma_that_most_shortens_the_proof, rules: [(rule dege neta [vibo bivu]) (rule temi gepo [vibo neta]) (rule bepu rago [raki gepo]) (rule vebo raki [neta]) (rule noke neta [vomo bivu]) (rule pume vibo [bivu vomo]) (rule pumo vibo [dira vomo])]}

Axiome: Tatsache vomo; Tatsache dira; Tatsache bivu.
Die Kandidaten sind: k0 Lemma gepo; k1 Lemma raki; k2 Lemma vibo; k3 Lemma neta.
Ziel: rago.
Die Regeln sind:
  - Regel dege: neta wenn vibo und bivu
  - Regel temi: gepo wenn vibo und neta
  - Regel bepu: rago wenn raki und gepo
  - Regel vebo: raki wenn neta
  - Regel noke: neta wenn vomo und bivu
  - Regel pume: vibo wenn bivu und vomo
  - Regel pumo: vibo wenn dira und vomo
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница vomo; чи̏њеница dira; чи̏њеница bivu.
Кандѝда̄т: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Ци̑љ: rago.
Пра̏вило:
  - пра̏вило dege: neta ȁko vibo и bivu
  - пра̏вило temi: gepo ȁko vibo и neta
  - пра̏вило bepu: rago ȁko raki и gepo
  - пра̏вило vebo: raki ȁko neta
  - пра̏вило noke: neta ȁko vomo и bivu
  - пра̏вило pume: vibo ȁko bivu и vomo
  - пра̏вило pumo: vibo ȁko dira и vomo
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia vomo; tosiasia dira; tosiasia bivu.
Ehdokkaat: k0 perusmuoto gepo; k1 perusmuoto raki; k2 perusmuoto vibo; k3 perusmuoto neta.
Päämäärä: rago.
Säännöt:
  - sääntö dege: neta jos vibo ja bivu
  - sääntö temi: gepo jos vibo ja neta
  - sääntö bepu: rago jos raki ja gepo
  - sääntö vebo: raki jos neta
  - sääntö noke: neta jos vomo ja bivu
  - sääntö pume: vibo jos bivu ja vomo
  - sääntö pumo: vibo jos dira ja vomo
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：vomo；事实：dira；事实：bivu。
候选项如下：k0的引理是gepo；k1的引理是raki；k2的引理是vibo；k3的引理是neta。
目标是rago。
规则如下：
  - 规则dege：若vibo和bivu则neta
  - 规则temi：若vibo和neta则gepo
  - 规则bepu：若raki和gepo则rago
  - 规则vebo：若neta则raki
  - 规则noke：若vomo和bivu则neta
  - 规则pume：若bivu和vomo则vibo
  - 规则pumo：若dira和vomo则vibo
的引理是that大多数shortens这证明什么？

公理:事実:vomo; 事実:dira; 事実:bivu.
候補者:k0gepoレンマ; k1rakiレンマ; k2viboレンマ; k3netaレンマ.
目標:rago.
規則:
  - 規則dege:もし...viboとbivuそれからneta
  - 規則temi:もし...viboとnetaそれからgepo
  - 規則bepu:もし...rakiとgepoそれからrago
  - 規則vebo:もし...netaそれからraki
  - 規則noke:もし...vomoとbivuそれからneta
  - 規則pume:もし...bivuとvomoそれからvibo
  - 規則pumo:もし...diraとvomoそれからvibo
レンマその大部分shortens証拠何と?

Belitler: olgu: vomo; olgu: dira; olgu: bivu.
Adaylar: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Hedef rago.
Kurallar:
  - kural dege: eğer vibo ve bivu ise neta
  - kural temi: eğer vibo ve neta ise gepo
  - kural bepu: eğer raki ve gepo ise rago
  - kural vebo: eğer neta ise raki
  - kural noke: eğer vomo ve bivu ise neta
  - kural pume: eğer bivu ve vomo ise vibo
  - kural pumo: eğer dira ve vomo ise vibo
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة vomo؛ مَعْلُومَة dira؛ مَعْلُومَة bivu.
مُرَشَّح: سُدَّة k0 gepo؛ سُدَّة k1 raki؛ سُدَّة k2 vibo؛ سُدَّة k3 neta.
هَدَف: rago.
قَانُون:
  - قَانُون dege: neta إِنْ vibo وَـ bivu
  - قَانُون temi: gepo إِنْ vibo وَـ neta
  - قَانُون bepu: rago إِنْ raki وَـ gepo
  - قَانُون vebo: raki إِنْ neta
  - قَانُون noke: neta إِنْ vomo وَـ bivu
  - قَانُون pume: vibo إِنْ bivu وَـ vomo
  - قَانُون pumo: vibo إِنْ dira وَـ vomo
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი vomo; ფაქტი dira; ფაქტი bivu.
Კანდიდატები: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Მიზანი: rago.
Წესი:
  - წესი dege: თუ vibo და bivu მერე neta
  - წესი temi: თუ vibo და neta მერე gepo
  - წესი bepu: თუ raki და gepo მერე rago
  - წესი vebo: თუ neta მერე raki
  - წესი noke: თუ vomo და bivu მერე neta
  - წესი pume: თუ bivu და vomo მერე vibo
  - წესი pumo: თუ dira და vomo მერე vibo
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka vomo; meka dira; meka bivu.
Kaiwhakauru: lemma k0 gepo; lemma k1 raki; lemma k2 vibo; lemma k3 neta.
Hemonga: rago.
Rekureihana:
  - rekureihana dege: neta mēnā vibo me bivu
  - rekureihana temi: gepo mēnā vibo me neta
  - rekureihana bepu: rago mēnā raki me gepo
  - rekureihana vebo: raki mēnā neta
  - rekureihana noke: neta mēnā vomo me bivu
  - rekureihana pume: vibo mēnā bivu me vomo
  - rekureihana pumo: vibo mēnā dira me vomo
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật vomo; sự thật dira; sự thật bivu.
Candidates: k0 mục từ gepo; k1 mục từ raki; k2 mục từ vibo; k3 mục từ neta.
Mục tiêu: rago.
Quy tắc:
  - rule dege: neta nếu vibo và bivu
  - rule temi: gepo nếu vibo và neta
  - rule bepu: rago nếu raki và gepo
  - rule vebo: raki nếu neta
  - rule noke: neta nếu vomo và bivu
  - rule pume: vibo nếu bivu và vomo
  - rule pumo: vibo nếu dira và vomo
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:vomo; ข้อเท็จจริง:dira; ข้อเท็จจริง:bivu.
ผู้สมัคร:k0lemmagepo; k1lemmaraki; k2lemmavibo; k3lemmaneta.
เป้าหมาย:rago.
กฎ:
  - กฎdege:netaviboและbivu
  - กฎtemi:gepoviboและneta
  - กฎbepu:ragorakiและgepo
  - กฎvebo:rakineta
  - กฎnoke:netavomoและbivu
  - กฎpume:vibobivuและvomo
  - กฎpumo:vibodiraและvomo
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact vomo; fact dira; fact bivu.
வேட்பாளர்: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
goal: rago.
rules:
  - ஆள் dege: என்றால் vibo மற்றும் bivu neta
  - ஆள் temi: என்றால் vibo மற்றும் neta gepo
  - ஆள் bepu: என்றால் raki மற்றும் gepo rago
  - ஆள் vebo: என்றால் neta raki
  - ஆள் noke: என்றால் vomo மற்றும் bivu neta
  - ஆள் pume: என்றால் bivu மற்றும் vomo vibo
  - ஆள் pumo: என்றால் dira மற்றும் vomo vibo
lemma எப்படி most shortens proof என்ன?

Axioms: fact: vomo; fact: dira; fact: bivu.
Wagombea ni: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Lengo ni rago.
Sheria ni:
  - kanuni dege: kama vibo na bivu basi neta
  - kanuni temi: kama vibo na neta basi gepo
  - kanuni bepu: kama raki na gepo basi rago
  - kanuni vebo: kama neta basi raki
  - kanuni noke: kama vomo na bivu basi neta
  - kanuni pume: kama bivu na vomo basi vibo
  - kanuni pumo: kama dira na vomo basi vibo
Lemma that wengi shortens proof nini?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Bee hazʼáanii:
  - rule dege: ládą́ą́ʼ vibo dóó bivu índa neta
  - rule temi: ládą́ą́ʼ vibo dóó neta índa gepo
  - rule bepu: ládą́ą́ʼ raki dóó gepo índa rago
  - rule vebo: ládą́ą́ʼ neta índa raki
  - rule noke: ládą́ą́ʼ vomo dóó bivu índa neta
  - rule pume: ládą́ą́ʼ bivu dóó vomo índa vibo
  - rule pumo: ládą́ą́ʼ dira dóó vomo índa vibo
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo aamma bivu neta
  - rule temi: vibo aamma neta gepo
  - rule bepu: raki aamma gepo rago
  - rule vebo: neta raki
  - rule noke: vomo aamma bivu neta
  - rule pume: bivu aamma vomo vibo
  - rule pumo: dira aamma vomo vibo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta sapos vibo na bivu
  - rule temi: gepo sapos vibo na neta
  - rule bepu: rago sapos raki na gepo
  - rule vebo: raki sapos neta
  - rule noke: neta sapos vomo na bivu
  - rule pume: vibo sapos bivu na vomo
  - rule pumo: vibo sapos dira na vomo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Nikanixi:
  - nikanixi dege: neta vibo bivu
  - nikanixi temi: gepo vibo neta
  - nikanixi bepu: rago raki gepo
  - nikanixi vebo: raki neta
  - nikanixi noke: neta vomo bivu
  - nikanixi pume: vibo bivu vomo
  - nikanixi pumo: vibo dira vomo
Lemma that most shortens proof kwèch?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo а bivu
  - rule temi: gepo vibo а neta
  - rule bepu: rago raki а gepo
  - rule vebo: raki neta
  - rule noke: neta vomo а bivu
  - rule pume: vibo bivu а vomo
  - rule pumo: vibo dira а vomo
Lemma that most shortens proof фу?

공리: 사실 vomo; 사실 dira; 사실 bivu.
후보자: k0 gepo 올림말; k1 raki 올림말; k2 vibo 올림말; k3 neta 올림말.
목표: rago.
규칙:
  - 규칙 dege: 만약 vibo bivu 나중에 neta
  - 규칙 temi: 만약 vibo neta 나중에 gepo
  - 규칙 bepu: 만약 raki gepo 나중에 rago
  - 규칙 vebo: 만약 neta 나중에 raki
  - 규칙 noke: 만약 vomo bivu 나중에 neta
  - 규칙 pume: 만약 bivu vomo 나중에 vibo
  - 규칙 pumo: 만약 dira vomo 나중에 vibo
올림말 그 가장 shortens 증거 무엇?

Axioms: fact vomo; fact dira; fact bivu.
Kandidatu: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Helburu: rago.
Arau:
  - arau dege: vibo eta bivu neta
  - arau temi: vibo eta neta gepo
  - arau bepu: raki eta gepo rago
  - arau vebo: neta raki
  - arau noke: vomo eta bivu neta
  - arau pume: bivu eta vomo vibo
  - arau pumo: dira eta vomo vibo
Lemma hura most shortens the proof zer?

Axioms: fact vomo; fact dira; fact bivu.
ᎠᏙᎩᏯᏍᎩ: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo ᎠᎴ bivu
  - rule temi: gepo vibo ᎠᎴ neta
  - rule bepu: rago raki ᎠᎴ gepo
  - rule vebo: raki neta
  - rule noke: neta vomo ᎠᎴ bivu
  - rule pume: vibo bivu ᎠᎴ vomo
  - rule pumo: vibo dira ᎠᎴ vomo
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma chay most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo ыкӏи bivu neta
  - rule temi: vibo ыкӏи neta gepo
  - rule bepu: raki ыкӏи gepo rago
  - rule vebo: neta raki
  - rule noke: vomo ыкӏи bivu neta
  - rule pume: bivu ыкӏи vomo vibo
  - rule pumo: dira ыкӏи vomo vibo
Lemma that most shortens the proof сыд?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Cai:
  - cai dege: neta vibo thiab bivu
  - cai temi: gepo vibo thiab neta
  - cai bepu: rago raki thiab gepo
  - cai vebo: raki neta
  - cai noke: neta vomo thiab bivu
  - cai pume: vibo bivu thiab vomo
  - cai pumo: vibo dira thiab vomo
Lemma qhov ntawd most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma that most shortens proof ining-jak?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo micha' bivu
  - rule temi: gepo vibo micha' neta
  - rule bepu: rago raki micha' gepo
  - rule vebo: raki neta
  - rule noke: neta vomo micha' bivu
  - rule pume: vibo bivu micha' vomo
  - rule pumo: vibo dira micha' vomo
Lemma that most shortens proof nanta?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo カ bivu neta
  - rule temi: vibo カ neta gepo
  - rule bepu: raki カ gepo rago
  - rule vebo: neta raki
  - rule noke: vomo カ bivu neta
  - rule pume: bivu カ vomo vibo
  - rule pumo: dira カ vomo vibo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta эвыр vibo ынкъам bivu
  - rule temi: gepo эвыр vibo ынкъам neta
  - rule bepu: rago эвыр raki ынкъам gepo
  - rule vebo: raki эвыр neta
  - rule noke: neta эвыр vomo ынкъам bivu
  - rule pume: vibo эвыр bivu ынкъам vomo
  - rule pumo: vibo эвыр dira ынкъам vomo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta wa vibo yéetel bivu
  - rule temi: gepo wa vibo yéetel neta
  - rule bepu: rago wa raki yéetel gepo
  - rule vebo: raki wa neta
  - rule noke: neta wa vomo yéetel bivu
  - rule pume: vibo wa bivu yéetel vomo
  - rule pumo: vibo wa dira yéetel vomo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma that most shortens proof híli?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo na bivu neta
  - rule temi: vibo na neta gepo
  - rule bepu: raki na gepo rago
  - rule vebo: neta raki
  - rule noke: vomo na bivu neta
  - rule pume: bivu na vomo vibo
  - rule pumo: dira na vomo vibo
Lemma that most shortens the proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma that most shortens the proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo bivu neta
  - rule temi: vibo neta gepo
  - rule bepu: raki gepo rago
  - rule vebo: neta raki
  - rule noke: vomo bivu neta
  - rule pume: bivu vomo vibo
  - rule pumo: dira vomo vibo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo ǂʻá bivu
  - rule temi: gepo vibo ǂʻá neta
  - rule bepu: rago raki ǂʻá gepo
  - rule vebo: raki neta
  - rule noke: neta vomo ǂʻá bivu
  - rule pume: vibo bivu ǂʻá vomo
  - rule pumo: vibo dira ǂʻá vomo
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo bivu neta
  - rule temi: vibo neta gepo
  - rule bepu: raki gepo rago
  - rule vebo: neta raki
  - rule noke: vomo bivu neta
  - rule pume: bivu vomo vibo
  - rule pumo: dira vomo vibo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo bivu neta
  - rule temi: vibo neta gepo
  - rule bepu: raki gepo rago
  - rule vebo: neta raki
  - rule noke: vomo bivu neta
  - rule pume: bivu vomo vibo
  - rule pumo: dira vomo vibo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma that most shortens the proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma that most shortens ne proof tay?

Axiomes : fait vomo ; fait dira ; fait bivu.
Les candidats sont : k0 lemme gepo ; k1 lemme raki ; k2 lemme vibo ; k3 lemme neta.
Objectif : rago.
Les règles sont:
  - règle dege: neta si vibo et bivu
  - règle temi: gepo si vibo et neta
  - règle bepu: rago si raki et gepo
  - règle vebo: raki si neta
  - règle noke: neta si vomo et bivu
  - règle pume: vibo si bivu et vomo
  - règle pumo: vibo si dira et vomo
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto vomo; fakto dira; fakto bivu.
Kandidato: k0 lemo gepo; k1 lemo raki; k2 lemo vibo; k3 lemo neta.
Celo: rago.
Regulo:
  - regulo dege: neta se vibo kaj bivu
  - regulo temi: gepo se vibo kaj neta
  - regulo bepu: rago se raki kaj gepo
  - regulo vebo: raki se neta
  - regulo noke: neta se vomo kaj bivu
  - regulo pume: vibo se bivu kaj vomo
  - regulo pumo: vibo se dira kaj vomo
Lemo ke plej shortens pruvo kio?

Axiómák: tény vomo; tény dira; tény bivu.
Indulók: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Cél: rago.
Szabályok:
  - szabály dege: neta ha vibo és bivu
  - szabály temi: gepo ha vibo és neta
  - szabály bepu: rago ha raki és gepo
  - szabály vebo: raki ha neta
  - szabály noke: neta ha vomo és bivu
  - szabály pume: vibo ha bivu és vomo
  - szabály pumo: vibo ha dira és vomo
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:vomo; 事實:dira; 事實:bivu.
候選人:k0lemmagepo; k1lemmaraki; k2lemmavibo; k3lemmaneta.
入波:rago.
rules:
  - ruledege:neta要是vibo及bivu
  - ruletemi:gepo要是vibo及neta
  - rulebepu:rago要是raki及gepo
  - rulevebo:raki要是neta
  - rulenoke:neta要是vomo及bivu
  - rulepume:vibo要是bivu及vomo
  - rulepumo:vibo要是dira及vomo
lemma嘅多數shortensproof乜嘢?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo とぅ bivu
  - rule temi: gepo vibo とぅ neta
  - rule bepu: rago raki とぅ gepo
  - rule vebo: raki neta
  - rule noke: neta vomo とぅ bivu
  - rule pume: vibo bivu とぅ vomo
  - rule pumo: vibo dira とぅ vomo
Lemma that most shortens proof what?

Аксиома: факт vomo; факт dira; факт bivu.
Үміткер: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Мақсат: rago.
Ереже:
  - ереже dege: neta егер vibo және bivu
  - ереже temi: gepo егер vibo және neta
  - ереже bepu: rago егер raki және gepo
  - ереже vebo: raki егер neta
  - ереже noke: neta егер vomo және bivu
  - ереже pume: vibo егер bivu және vomo
  - ереже pumo: vibo егер dira және vomo
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה vomo; עובדה dira; עובדה bivu.
מועמדת: k0 למה gepo; k1 למה raki; k2 למה vibo; k3 למה neta.
מַטָּרָה: rago.
מָשַׁל:
  - מָשַׁל dege: neta אִם vibo וְ־ bivu
  - מָשַׁל temi: gepo אִם vibo וְ־ neta
  - מָשַׁל bepu: rago אִם raki וְ־ gepo
  - מָשַׁל vebo: raki אִם neta
  - מָשַׁל noke: neta אִם vomo וְ־ bivu
  - מָשַׁל pume: vibo אִם bivu וְ־ vomo
  - מָשַׁל pumo: vibo אִם dira וְ־ vomo
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo დო bivu
  - rule temi: gepo vibo დო neta
  - rule bepu: rago raki დო gepo
  - rule vebo: raki neta
  - rule noke: neta vomo დო bivu
  - rule pume: vibo bivu დო vomo
  - rule pumo: vibo dira დო vomo
Lemma that most shortens proof what?

Aksioma-aksioma: fact vomo; fact dira; fact bivu.
Kandidat: k0 lema gepo; k1 lema raki; k2 lema vibo; k3 lema neta.
Tujuan: rago.
Rules:
  - rule dege: neta jika vibo dan bivu
  - rule temi: gepo jika vibo dan neta
  - rule bepu: rago jika raki dan gepo
  - rule vebo: raki jika neta
  - rule noke: neta jika vomo dan bivu
  - rule pume: vibo jika bivu dan vomo
  - rule pumo: vibo jika dira dan vomo
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:vomo; fact:dira; fact:bivu.
បេក្ខជន:k0lemmagepo; k1lemmaraki; k2lemmavibo; k3lemmaneta.
ទិស:rago.
ក្បួន:
  - ក្បួនdege:netaបើviboនឹងbivu
  - ក្បួនtemi:gepoបើviboនឹងneta
  - ក្បួនbepu:ragoបើrakiនឹងgepo
  - ក្បួនvebo:rakiបើneta
  - ក្បួនnoke:netaបើvomoនឹងbivu
  - ក្បួនpume:viboបើbivuនឹងvomo
  - ក្បួនpumo:viboបើdiraនឹងvomo
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:vomo; fact:dira; fact:bivu.
ຜູ້ສະໝັກ:k0lemmagepo; k1lemmaraki; k2lemmavibo; k3lemmaneta.
ເປົ້າໝາຍ:rago.
ກະຕິກາ:
  - ກະຕິກາdege:netaຖ້າviboແລະbivu
  - ກະຕິກາtemi:gepoຖ້າviboແລະneta
  - ກະຕິກາbepu:ragoຖ້າrakiແລະgepo
  - ກະຕິກາvebo:rakiຖ້າneta
  - ກະຕິກາnoke:netaຖ້າvomoແລະbivu
  - ກະຕິກາpume:viboຖ້າbivuແລະvomo
  - ກະຕິກາpumo:viboຖ້າdiraແລະvomo
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి vomo; నిజానికి dira; నిజానికి bivu.
candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
లక్ష్యం: rago.
నియమం:
  - నియమం dege: అయితే vibo మరియు bivu అప్పుడు neta
  - నియమం temi: అయితే vibo మరియు neta అప్పుడు gepo
  - నియమం bepu: అయితే raki మరియు gepo అప్పుడు rago
  - నియమం vebo: అయితే neta అప్పుడు raki
  - నియమం noke: అయితే vomo మరియు bivu అప్పుడు neta
  - నియమం pume: అయితే bivu మరియు vomo అప్పుడు vibo
  - నియమం pumo: అయితే dira మరియు vomo అప్పుడు vibo
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
What lemma that most shortens proof?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo bivu neta
  - rule temi: vibo neta gepo
  - rule bepu: raki gepo rago
  - rule vebo: neta raki
  - rule noke: vomo bivu neta
  - rule pume: bivu vomo vibo
  - rule pumo: dira vomo vibo
Lemma that most shortens the proof what?

axioms: fact vomo; fact dira; fact bivu.
candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
goal: rago.
rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 lemma gepo; k1 lemma raki; k2 lemma vibo; k3 lemma neta.
Goal: rago.
Rules:
  - rule dege: neta vibo bivu
  - rule temi: gepo vibo neta
  - rule bepu: rago raki gepo
  - rule vebo: raki neta
  - rule noke: neta vomo bivu
  - rule pume: vibo bivu vomo
  - rule pumo: vibo dira vomo
Lemma that most shortens proof what?

Axioms: fact vomo; fact dira; fact bivu.
Candidates: k0 gepo lemma; k1 raki lemma; k2 vibo lemma; k3 neta lemma.
Goal: rago.
Rules:
  - rule dege: vibo bivu neta
  - rule temi: vibo neta gepo
  - rule bepu: raki gepo rago
  - rule vebo: neta raki
  - rule noke: vomo bivu neta
  - rule pume: bivu vomo vibo
  - rule pumo: dira vomo vibo
Lemma that most shortens proof вуч?

The axioms are: fact mabo; fact vake; fact gode.
The candidates are: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
The goal is bava.
The rules are:
  - rule dini: ropa if mabo and kepu
  - rule soze: neto if mabo and vake
  - rule poda: bava if tama and kepu
  - rule tegi: bava if tama
  - rule sune: neto if vake
  - rule taka: kepu if neto and vake
  - rule navo: tama if neto and ropa
  - rule gipu: ropa if neto and kepu
  - rule kata: tama if ropa and neto
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: mabo; el hecho: vake; el hecho: gode.
Los candidatos son: k0 el lema neto; k1 el lema ropa; k2 el lema kepu; k3 el lema Tama.
El objetivo es bava.
Las reglas son:
  - regla dini: ropa si mabo y kepu
  - regla soze: neto si mabo y vake
  - regla poda: bava si Tama y kepu
  - regla tegi: bava si Tama
  - regla sune: neto si vake
  - regla taka: kepu si neto y vake
  - regla navo: Tama si neto y ropa
  - regla gipu: ropa si neto y kepu
  - regla kata: Tama si ropa y neto
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：mabo；事实：vake；事实：gode。
候选项如下：k0的引理是neto；k1的引理是ropa；k2的引理是kepu；k3的引理是塔玛。
目标是bava。
规则如下：
  - 规则dini：若mabo和kepu则ropa
  - 规则soze：若mabo和vake则neto
  - 规则poda：若塔玛和kepu则bava
  - 规则tegi：若塔玛则bava
  - 规则sune：若vake则neto
  - 规则taka：若neto和vake则kepu
  - 规则navo：若neto和ropa则塔玛
  - 规则gipu：若neto和kepu则ropa
  - 规则kata：若ropa和neto则塔玛
的引理是that大多数shortens这证明什么？

Belitler: olgu: mabo; olgu: vake; olgu: gode.
Adaylar: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Hedef bava.
Kurallar:
  - kural dini: eğer mabo ve kepu ise ropa
  - kural soze: eğer mabo ve vake ise neto
  - kural poda: eğer tama ve kepu ise bava
  - kural tegi: eğer tama ise bava
  - kural sune: eğer vake ise neto
  - kural taka: eğer neto ve vake ise kepu
  - kural navo: eğer neto ve ropa ise tama
  - kural gipu: eğer neto ve kepu ise ropa
  - kural kata: eğer ropa ve neto ise tama
Lemma that çoğu shortens ispat ne?

Axioms: fact: mabo; fact: vake; fact: gode.
Wagombea ni: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Lengo ni bava.
Sheria ni:
  - kanuni dini: kama mabo na kepu basi ropa
  - kanuni soze: kama mabo na vake basi neto
  - kanuni poda: kama tama na kepu basi bava
  - kanuni tegi: kama tama basi bava
  - kanuni sune: kama vake basi neto
  - kanuni taka: kama neto na vake basi kepu
  - kanuni navo: kama neto na ropa basi tama
  - kanuni gipu: kama neto na kepu basi ropa
  - kanuni kata: kama ropa na neto basi tama
Lemma that wengi shortens proof nini?

The axioms are: fact mabo; fact vake; fact gode.
The candidates are: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
The goal is bava.
The rules are:
  - rule dini: ropa if mabo and kepu
  - rule soze: neto if mabo and vake
  - rule poda: bava if tama and kepu
  - rule tegi: bava if tama
  - rule sune: neto if vake
  - rule taka: kepu if neto and vake
  - rule navo: tama if neto and ropa
  - rule gipu: ropa if neto and kepu
  - rule kata: tama if ropa and neto
What is the lemma that most shortens the proof?

{axioms: [(fact mabo) (fact vake) (fact gode)], candidates: [(lemma k0 neto) (lemma k1 ropa) (lemma k2 kepu) (lemma k3 tama)], goal: bava, query: lemma_that_most_shortens_the_proof, rules: [(rule dini ropa [mabo kepu]) (rule soze neto [mabo vake]) (rule poda bava [tama kepu]) (rule tegi bava [tama]) (rule sune neto [vake]) (rule taka kepu [neto vake]) (rule navo tama [neto ropa]) (rule gipu ropa [neto kepu]) (rule kata tama [ropa neto])]}

Axiome: Tatsache mabo; Tatsache vake; Tatsache gode.
Die Kandidaten sind: k0 Lemma neto; k1 Lemma ropa; k2 Lemma kepu; k3 Lemma tama.
Ziel: bava.
Die Regeln sind:
  - Regel dini: ropa wenn mabo und kepu
  - Regel soze: neto wenn mabo und vake
  - Regel poda: bava wenn tama und kepu
  - Regel tegi: bava wenn tama
  - Regel sune: neto wenn vake
  - Regel taka: kepu wenn neto und vake
  - Regel navo: tama wenn neto und ropa
  - Regel gipu: ropa wenn neto und kepu
  - Regel kata: tama wenn ropa und neto
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница mabo; чи̏њеница vake; чи̏њеница gode.
Кандѝда̄т: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Ци̑љ: bava.
Пра̏вило:
  - пра̏вило dini: ropa ȁko mabo и kepu
  - пра̏вило soze: neto ȁko mabo и vake
  - пра̏вило poda: bava ȁko tama и kepu
  - пра̏вило tegi: bava ȁko tama
  - пра̏вило sune: neto ȁko vake
  - пра̏вило taka: kepu ȁko neto и vake
  - пра̏вило navo: tama ȁko neto и ropa
  - пра̏вило gipu: ropa ȁko neto и kepu
  - пра̏вило kata: tama ȁko ropa и neto
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia mabo; tosiasia vake; tosiasia gode.
Ehdokkaat: k0 perusmuoto neto; k1 perusmuoto ropa; k2 perusmuoto kepu; k3 perusmuoto tama.
Päämäärä: bava.
Säännöt:
  - sääntö dini: ropa jos mabo ja kepu
  - sääntö soze: neto jos mabo ja vake
  - sääntö poda: bava jos tama ja kepu
  - sääntö tegi: bava jos tama
  - sääntö sune: neto jos vake
  - sääntö taka: kepu jos neto ja vake
  - sääntö navo: tama jos neto ja ropa
  - sääntö gipu: ropa jos neto ja kepu
  - sääntö kata: tama jos ropa ja neto
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：mabo；事实：vake；事实：gode。
候选项如下：k0的引理是neto；k1的引理是ropa；k2的引理是kepu；k3的引理是塔玛。
目标是bava。
规则如下：
  - 规则dini：若mabo和kepu则ropa
  - 规则soze：若mabo和vake则neto
  - 规则poda：若塔玛和kepu则bava
  - 规则tegi：若塔玛则bava
  - 规则sune：若vake则neto
  - 规则taka：若neto和vake则kepu
  - 规则navo：若neto和ropa则塔玛
  - 规则gipu：若neto和kepu则ropa
  - 规则kata：若ropa和neto则塔玛
的引理是that大多数shortens这证明什么？

公理:事実:mabo; 事実:vake; 事実:gode.
候補者:k0netoレンマ; k1ropaレンマ; k2kepuレンマ; k3tamaレンマ.
目標:bava.
規則:
  - 規則dini:もし...maboとkepuそれからropa
  - 規則soze:もし...maboとvakeそれからneto
  - 規則poda:もし...tamaとkepuそれからbava
  - 規則tegi:もし...tamaそれからbava
  - 規則sune:もし...vakeそれからneto
  - 規則taka:もし...netoとvakeそれからkepu
  - 規則navo:もし...netoとropaそれからtama
  - 規則gipu:もし...netoとkepuそれからropa
  - 規則kata:もし...ropaとnetoそれからtama
レンマその大部分shortens証拠何と?

Belitler: olgu: mabo; olgu: vake; olgu: gode.
Adaylar: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Hedef bava.
Kurallar:
  - kural dini: eğer mabo ve kepu ise ropa
  - kural soze: eğer mabo ve vake ise neto
  - kural poda: eğer tama ve kepu ise bava
  - kural tegi: eğer tama ise bava
  - kural sune: eğer vake ise neto
  - kural taka: eğer neto ve vake ise kepu
  - kural navo: eğer neto ve ropa ise tama
  - kural gipu: eğer neto ve kepu ise ropa
  - kural kata: eğer ropa ve neto ise tama
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة mabo؛ مَعْلُومَة vake؛ مَعْلُومَة gode.
مُرَشَّح: سُدَّة k0 neto؛ سُدَّة k1 ropa؛ سُدَّة k2 kepu؛ سُدَّة k3 tama.
هَدَف: bava.
قَانُون:
  - قَانُون dini: ropa إِنْ mabo وَـ kepu
  - قَانُون soze: neto إِنْ mabo وَـ vake
  - قَانُون poda: bava إِنْ tama وَـ kepu
  - قَانُون tegi: bava إِنْ tama
  - قَانُون sune: neto إِنْ vake
  - قَانُون taka: kepu إِنْ neto وَـ vake
  - قَانُون navo: tama إِنْ neto وَـ ropa
  - قَانُون gipu: ropa إِنْ neto وَـ kepu
  - قَانُون kata: tama إِنْ ropa وَـ neto
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი mabo; ფაქტი vake; ფაქტი gode.
Კანდიდატები: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Მიზანი: bava.
Წესი:
  - წესი dini: თუ mabo და kepu მერე ropa
  - წესი soze: თუ mabo და vake მერე neto
  - წესი poda: თუ tama და kepu მერე bava
  - წესი tegi: თუ tama მერე bava
  - წესი sune: თუ vake მერე neto
  - წესი taka: თუ neto და vake მერე kepu
  - წესი navo: თუ neto და ropa მერე tama
  - წესი gipu: თუ neto და kepu მერე ropa
  - წესი kata: თუ ropa და neto მერე tama
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka mabo; meka vake; meka gode.
Kaiwhakauru: lemma k0 neto; lemma k1 ropa; lemma k2 kepu; lemma k3 tama.
Hemonga: bava.
Rekureihana:
  - rekureihana dini: ropa mēnā mabo me kepu
  - rekureihana soze: neto mēnā mabo me vake
  - rekureihana poda: bava mēnā tama me kepu
  - rekureihana tegi: bava mēnā tama
  - rekureihana sune: neto mēnā vake
  - rekureihana taka: kepu mēnā neto me vake
  - rekureihana navo: tama mēnā neto me ropa
  - rekureihana gipu: ropa mēnā neto me kepu
  - rekureihana kata: tama mēnā ropa me neto
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật mabo; sự thật vake; sự thật gode.
Candidates: k0 mục từ neto; k1 mục từ ropa; k2 mục từ kepu; k3 mục từ tama.
Mục tiêu: bava.
Quy tắc:
  - rule dini: ropa nếu mabo và kepu
  - rule soze: neto nếu mabo và vake
  - rule poda: bava nếu tama và kepu
  - rule tegi: bava nếu tama
  - rule sune: neto nếu vake
  - rule taka: kepu nếu neto và vake
  - rule navo: tama nếu neto và ropa
  - rule gipu: ropa nếu neto và kepu
  - rule kata: tama nếu ropa và neto
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:mabo; ข้อเท็จจริง:vake; ข้อเท็จจริง:gode.
ผู้สมัคร:k0lemmaneto; k1lemmaropa; k2lemmakepu; k3lemmatama.
เป้าหมาย:bava.
กฎ:
  - กฎdini:ropamaboและkepu
  - กฎsoze:netomaboและvake
  - กฎpoda:bavatamaและkepu
  - กฎtegi:bavatama
  - กฎsune:netovake
  - กฎtaka:kepunetoและvake
  - กฎnavo:tamanetoและropa
  - กฎgipu:ropanetoและkepu
  - กฎkata:tamaropaและneto
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact mabo; fact vake; fact gode.
வேட்பாளர்: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
goal: bava.
rules:
  - ஆள் dini: என்றால் mabo மற்றும் kepu ropa
  - ஆள் soze: என்றால் mabo மற்றும் vake neto
  - ஆள் poda: என்றால் tama மற்றும் kepu bava
  - ஆள் tegi: என்றால் tama bava
  - ஆள் sune: என்றால் vake neto
  - ஆள் taka: என்றால் neto மற்றும் vake kepu
  - ஆள் navo: என்றால் neto மற்றும் ropa tama
  - ஆள் gipu: என்றால் neto மற்றும் kepu ropa
  - ஆள் kata: என்றால் ropa மற்றும் neto tama
lemma எப்படி most shortens proof என்ன?

Axioms: fact: mabo; fact: vake; fact: gode.
Wagombea ni: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Lengo ni bava.
Sheria ni:
  - kanuni dini: kama mabo na kepu basi ropa
  - kanuni soze: kama mabo na vake basi neto
  - kanuni poda: kama tama na kepu basi bava
  - kanuni tegi: kama tama basi bava
  - kanuni sune: kama vake basi neto
  - kanuni taka: kama neto na vake basi kepu
  - kanuni navo: kama neto na ropa basi tama
  - kanuni gipu: kama neto na kepu basi ropa
  - kanuni kata: kama ropa na neto basi tama
Lemma that wengi shortens proof nini?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Bee hazʼáanii:
  - rule dini: ládą́ą́ʼ mabo dóó kepu índa ropa
  - rule soze: ládą́ą́ʼ mabo dóó vake índa neto
  - rule poda: ládą́ą́ʼ tama dóó kepu índa bava
  - rule tegi: ládą́ą́ʼ tama índa bava
  - rule sune: ládą́ą́ʼ vake índa neto
  - rule taka: ládą́ą́ʼ neto dóó vake índa kepu
  - rule navo: ládą́ą́ʼ neto dóó ropa índa tama
  - rule gipu: ládą́ą́ʼ neto dóó kepu índa ropa
  - rule kata: ládą́ą́ʼ ropa dóó neto índa tama
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo aamma kepu ropa
  - rule soze: mabo aamma vake neto
  - rule poda: tama aamma kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto aamma vake kepu
  - rule navo: neto aamma ropa tama
  - rule gipu: neto aamma kepu ropa
  - rule kata: ropa aamma neto tama
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa sapos mabo na kepu
  - rule soze: neto sapos mabo na vake
  - rule poda: bava sapos tama na kepu
  - rule tegi: bava sapos tama
  - rule sune: neto sapos vake
  - rule taka: kepu sapos neto na vake
  - rule navo: tama sapos neto na ropa
  - rule gipu: ropa sapos neto na kepu
  - rule kata: tama sapos ropa na neto
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Nikanixi:
  - nikanixi dini: ropa mabo kepu
  - nikanixi soze: neto mabo vake
  - nikanixi poda: bava tama kepu
  - nikanixi tegi: bava tama
  - nikanixi sune: neto vake
  - nikanixi taka: kepu neto vake
  - nikanixi navo: tama neto ropa
  - nikanixi gipu: ropa neto kepu
  - nikanixi kata: tama ropa neto
Lemma that most shortens proof kwèch?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo а kepu
  - rule soze: neto mabo а vake
  - rule poda: bava tama а kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto а vake
  - rule navo: tama neto а ropa
  - rule gipu: ropa neto а kepu
  - rule kata: tama ropa а neto
Lemma that most shortens proof фу?

공리: 사실 mabo; 사실 vake; 사실 gode.
후보자: k0 neto 올림말; k1 ropa 올림말; k2 kepu 올림말; k3 tama 올림말.
목표: bava.
규칙:
  - 규칙 dini: 만약 mabo kepu 나중에 ropa
  - 규칙 soze: 만약 mabo vake 나중에 neto
  - 규칙 poda: 만약 tama kepu 나중에 bava
  - 규칙 tegi: 만약 tama 나중에 bava
  - 규칙 sune: 만약 vake 나중에 neto
  - 규칙 taka: 만약 neto vake 나중에 kepu
  - 규칙 navo: 만약 neto ropa 나중에 tama
  - 규칙 gipu: 만약 neto kepu 나중에 ropa
  - 규칙 kata: 만약 ropa neto 나중에 tama
올림말 그 가장 shortens 증거 무엇?

Axioms: fact mabo; fact vake; fact gode.
Kandidatu: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Helburu: bava.
Arau:
  - arau dini: mabo eta kepu ropa
  - arau soze: mabo eta vake neto
  - arau poda: tama eta kepu bava
  - arau tegi: tama bava
  - arau sune: vake neto
  - arau taka: neto eta vake kepu
  - arau navo: neto eta ropa tama
  - arau gipu: neto eta kepu ropa
  - arau kata: ropa eta neto tama
Lemma hura most shortens the proof zer?

Axioms: fact mabo; fact vake; fact gode.
ᎠᏙᎩᏯᏍᎩ: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo ᎠᎴ kepu
  - rule soze: neto mabo ᎠᎴ vake
  - rule poda: bava tama ᎠᎴ kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto ᎠᎴ vake
  - rule navo: tama neto ᎠᎴ ropa
  - rule gipu: ropa neto ᎠᎴ kepu
  - rule kata: tama ropa ᎠᎴ neto
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma chay most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo ыкӏи kepu ropa
  - rule soze: mabo ыкӏи vake neto
  - rule poda: tama ыкӏи kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto ыкӏи vake kepu
  - rule navo: neto ыкӏи ropa tama
  - rule gipu: neto ыкӏи kepu ropa
  - rule kata: ropa ыкӏи neto tama
Lemma that most shortens the proof сыд?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Cai:
  - cai dini: ropa mabo thiab kepu
  - cai soze: neto mabo thiab vake
  - cai poda: bava tama thiab kepu
  - cai tegi: bava tama
  - cai sune: neto vake
  - cai taka: kepu neto thiab vake
  - cai navo: tama neto thiab ropa
  - cai gipu: ropa neto thiab kepu
  - cai kata: tama ropa thiab neto
Lemma qhov ntawd most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma that most shortens proof ining-jak?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo micha' kepu
  - rule soze: neto mabo micha' vake
  - rule poda: bava tama micha' kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto micha' vake
  - rule navo: tama neto micha' ropa
  - rule gipu: ropa neto micha' kepu
  - rule kata: tama ropa micha' neto
Lemma that most shortens proof nanta?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo カ kepu ropa
  - rule soze: mabo カ vake neto
  - rule poda: tama カ kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto カ vake kepu
  - rule navo: neto カ ropa tama
  - rule gipu: neto カ kepu ropa
  - rule kata: ropa カ neto tama
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa эвыр mabo ынкъам kepu
  - rule soze: neto эвыр mabo ынкъам vake
  - rule poda: bava эвыр tama ынкъам kepu
  - rule tegi: bava эвыр tama
  - rule sune: neto эвыр vake
  - rule taka: kepu эвыр neto ынкъам vake
  - rule navo: tama эвыр neto ынкъам ropa
  - rule gipu: ropa эвыр neto ынкъам kepu
  - rule kata: tama эвыр ropa ынкъам neto
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa wa mabo yéetel kepu
  - rule soze: neto wa mabo yéetel vake
  - rule poda: bava wa tama yéetel kepu
  - rule tegi: bava wa tama
  - rule sune: neto wa vake
  - rule taka: kepu wa neto yéetel vake
  - rule navo: tama wa neto yéetel ropa
  - rule gipu: ropa wa neto yéetel kepu
  - rule kata: tama wa ropa yéetel neto
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma that most shortens proof híli?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo na kepu ropa
  - rule soze: mabo na vake neto
  - rule poda: tama na kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto na vake kepu
  - rule navo: neto na ropa tama
  - rule gipu: neto na kepu ropa
  - rule kata: ropa na neto tama
Lemma that most shortens the proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma that most shortens the proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo kepu ropa
  - rule soze: mabo vake neto
  - rule poda: tama kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto vake kepu
  - rule navo: neto ropa tama
  - rule gipu: neto kepu ropa
  - rule kata: ropa neto tama
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo ǂʻá kepu
  - rule soze: neto mabo ǂʻá vake
  - rule poda: bava tama ǂʻá kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto ǂʻá vake
  - rule navo: tama neto ǂʻá ropa
  - rule gipu: ropa neto ǂʻá kepu
  - rule kata: tama ropa ǂʻá neto
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo kepu ropa
  - rule soze: mabo vake neto
  - rule poda: tama kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto vake kepu
  - rule navo: neto ropa tama
  - rule gipu: neto kepu ropa
  - rule kata: ropa neto tama
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo kepu ropa
  - rule soze: mabo vake neto
  - rule poda: tama kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto vake kepu
  - rule navo: neto ropa tama
  - rule gipu: neto kepu ropa
  - rule kata: ropa neto tama
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma that most shortens the proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma that most shortens ne proof tay?

Axiomes : fait mabo ; fait vake ; fait gode.
Les candidats sont : k0 lemme neto ; k1 lemme ropa ; k2 lemme kepu ; k3 lemme tama.
Objectif : bava.
Les règles sont:
  - règle dini: ropa si mabo et kepu
  - règle soze: neto si mabo et vake
  - règle poda: bava si tama et kepu
  - règle tegi: bava si tama
  - règle sune: neto si vake
  - règle taka: kepu si neto et vake
  - règle navo: tama si neto et ropa
  - règle gipu: ropa si neto et kepu
  - règle kata: tama si ropa et neto
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto mabo; fakto vake; fakto gode.
Kandidato: k0 lemo neto; k1 lemo ropa; k2 lemo kepu; k3 lemo tama.
Celo: bava.
Regulo:
  - regulo dini: ropa se mabo kaj kepu
  - regulo soze: neto se mabo kaj vake
  - regulo poda: bava se tama kaj kepu
  - regulo tegi: bava se tama
  - regulo sune: neto se vake
  - regulo taka: kepu se neto kaj vake
  - regulo navo: tama se neto kaj ropa
  - regulo gipu: ropa se neto kaj kepu
  - regulo kata: tama se ropa kaj neto
Lemo ke plej shortens pruvo kio?

Axiómák: tény mabo; tény vake; tény gode.
Indulók: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Cél: bava.
Szabályok:
  - szabály dini: ropa ha mabo és kepu
  - szabály soze: neto ha mabo és vake
  - szabály poda: bava ha tama és kepu
  - szabály tegi: bava ha tama
  - szabály sune: neto ha vake
  - szabály taka: kepu ha neto és vake
  - szabály navo: tama ha neto és ropa
  - szabály gipu: ropa ha neto és kepu
  - szabály kata: tama ha ropa és neto
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:mabo; 事實:vake; 事實:gode.
候選人:k0lemmaneto; k1lemmaropa; k2lemmakepu; k3lemmatama.
入波:bava.
rules:
  - ruledini:ropa要是mabo及kepu
  - rulesoze:neto要是mabo及vake
  - rulepoda:bava要是tama及kepu
  - ruletegi:bava要是tama
  - rulesune:neto要是vake
  - ruletaka:kepu要是neto及vake
  - rulenavo:tama要是neto及ropa
  - rulegipu:ropa要是neto及kepu
  - rulekata:tama要是ropa及neto
lemma嘅多數shortensproof乜嘢?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo とぅ kepu
  - rule soze: neto mabo とぅ vake
  - rule poda: bava tama とぅ kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto とぅ vake
  - rule navo: tama neto とぅ ropa
  - rule gipu: ropa neto とぅ kepu
  - rule kata: tama ropa とぅ neto
Lemma that most shortens proof what?

Аксиома: факт mabo; факт vake; факт gode.
Үміткер: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Мақсат: bava.
Ереже:
  - ереже dini: ropa егер mabo және kepu
  - ереже soze: neto егер mabo және vake
  - ереже poda: bava егер tama және kepu
  - ереже tegi: bava егер tama
  - ереже sune: neto егер vake
  - ереже taka: kepu егер neto және vake
  - ереже navo: tama егер neto және ropa
  - ереже gipu: ropa егер neto және kepu
  - ереже kata: tama егер ropa және neto
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה mabo; עובדה vake; עובדה gode.
מועמדת: k0 למה neto; k1 למה ropa; k2 למה kepu; k3 למה tama.
מַטָּרָה: bava.
מָשַׁל:
  - מָשַׁל dini: ropa אִם mabo וְ־ kepu
  - מָשַׁל soze: neto אִם mabo וְ־ vake
  - מָשַׁל poda: bava אִם tama וְ־ kepu
  - מָשַׁל tegi: bava אִם tama
  - מָשַׁל sune: neto אִם vake
  - מָשַׁל taka: kepu אִם neto וְ־ vake
  - מָשַׁל navo: tama אִם neto וְ־ ropa
  - מָשַׁל gipu: ropa אִם neto וְ־ kepu
  - מָשַׁל kata: tama אִם ropa וְ־ neto
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo დო kepu
  - rule soze: neto mabo დო vake
  - rule poda: bava tama დო kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto დო vake
  - rule navo: tama neto დო ropa
  - rule gipu: ropa neto დო kepu
  - rule kata: tama ropa დო neto
Lemma that most shortens proof what?

Aksioma-aksioma: fact mabo; fact vake; fact gode.
Kandidat: k0 lema neto; k1 lema ropa; k2 lema kepu; k3 lema tama.
Tujuan: bava.
Rules:
  - rule dini: ropa jika mabo dan kepu
  - rule soze: neto jika mabo dan vake
  - rule poda: bava jika tama dan kepu
  - rule tegi: bava jika tama
  - rule sune: neto jika vake
  - rule taka: kepu jika neto dan vake
  - rule navo: tama jika neto dan ropa
  - rule gipu: ropa jika neto dan kepu
  - rule kata: tama jika ropa dan neto
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:mabo; fact:vake; fact:gode.
បេក្ខជន:k0lemmaneto; k1lemmaropa; k2lemmakepu; k3lemmatama.
ទិស:bava.
ក្បួន:
  - ក្បួនdini:ropaបើmaboនឹងkepu
  - ក្បួនsoze:netoបើmaboនឹងvake
  - ក្បួនpoda:bavaបើtamaនឹងkepu
  - ក្បួនtegi:bavaបើtama
  - ក្បួនsune:netoបើvake
  - ក្បួនtaka:kepuបើnetoនឹងvake
  - ក្បួនnavo:tamaបើnetoនឹងropa
  - ក្បួនgipu:ropaបើnetoនឹងkepu
  - ក្បួនkata:tamaបើropaនឹងneto
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:mabo; fact:vake; fact:gode.
ຜູ້ສະໝັກ:k0lemmaneto; k1lemmaropa; k2lemmakepu; k3lemmatama.
ເປົ້າໝາຍ:bava.
ກະຕິກາ:
  - ກະຕິກາdini:ropaຖ້າmaboແລະkepu
  - ກະຕິກາsoze:netoຖ້າmaboແລະvake
  - ກະຕິກາpoda:bavaຖ້າtamaແລະkepu
  - ກະຕິກາtegi:bavaຖ້າtama
  - ກະຕິກາsune:netoຖ້າvake
  - ກະຕິກາtaka:kepuຖ້າnetoແລະvake
  - ກະຕິກາnavo:tamaຖ້າnetoແລະropa
  - ກະຕິກາgipu:ropaຖ້າnetoແລະkepu
  - ກະຕິກາkata:tamaຖ້າropaແລະneto
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి mabo; నిజానికి vake; నిజానికి gode.
candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
లక్ష్యం: bava.
నియమం:
  - నియమం dini: అయితే mabo మరియు kepu అప్పుడు ropa
  - నియమం soze: అయితే mabo మరియు vake అప్పుడు neto
  - నియమం poda: అయితే tama మరియు kepu అప్పుడు bava
  - నియమం tegi: అయితే tama అప్పుడు bava
  - నియమం sune: అయితే vake అప్పుడు neto
  - నియమం taka: అయితే neto మరియు vake అప్పుడు kepu
  - నియమం navo: అయితే neto మరియు ropa అప్పుడు tama
  - నియమం gipu: అయితే neto మరియు kepu అప్పుడు ropa
  - నియమం kata: అయితే ropa మరియు neto అప్పుడు tama
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
What lemma that most shortens proof?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo kepu ropa
  - rule soze: mabo vake neto
  - rule poda: tama kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto vake kepu
  - rule navo: neto ropa tama
  - rule gipu: neto kepu ropa
  - rule kata: ropa neto tama
Lemma that most shortens the proof what?

axioms: fact mabo; fact vake; fact gode.
candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
goal: bava.
rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 lemma neto; k1 lemma ropa; k2 lemma kepu; k3 lemma tama.
Goal: bava.
Rules:
  - rule dini: ropa mabo kepu
  - rule soze: neto mabo vake
  - rule poda: bava tama kepu
  - rule tegi: bava tama
  - rule sune: neto vake
  - rule taka: kepu neto vake
  - rule navo: tama neto ropa
  - rule gipu: ropa neto kepu
  - rule kata: tama ropa neto
Lemma that most shortens proof what?

Axioms: fact mabo; fact vake; fact gode.
Candidates: k0 neto lemma; k1 ropa lemma; k2 kepu lemma; k3 tama lemma.
Goal: bava.
Rules:
  - rule dini: mabo kepu ropa
  - rule soze: mabo vake neto
  - rule poda: tama kepu bava
  - rule tegi: tama bava
  - rule sune: vake neto
  - rule taka: neto vake kepu
  - rule navo: neto ropa tama
  - rule gipu: neto kepu ropa
  - rule kata: ropa neto tama
Lemma that most shortens proof вуч?

The axioms are: fact runi; fact geva; fact nuru.
The candidates are: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
The goal is desu.
The rules are:
  - rule beza: desu if geka and zazo
  - rule zodi: gozo if nuru and zazo
  - rule doza: disu if nuru and geva
  - rule papo: desu if geka and gozo
  - rule meve: zazo if nuru and geva
  - rule komi: geka if gozo and disu
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: runi; el hecho: geva; el hecho: nuru.
Los candidatos son: k0 el lema disu; k1 el lema gozo; k2 el lema zazo; k3 el lema geka.
El objetivo es desu.
Las reglas son:
  - regla beza: desu si geka y zazo
  - regla zodi: gozo si nuru y zazo
  - regla doza: disu si nuru y geva
  - regla papo: desu si geka y gozo
  - regla meve: zazo si nuru y geva
  - regla komi: geka si gozo y disu
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：runi；事实：geva；事实：nuru。
候选项如下：k0的引理是disu；k1的引理是gozo；k2的引理是zazo；k3的引理是geka。
目标是desu。
规则如下：
  - 规则beza：若geka和zazo则desu
  - 规则zodi：若nuru和zazo则gozo
  - 规则doza：若nuru和geva则disu
  - 规则papo：若geka和gozo则desu
  - 规则meve：若nuru和geva则zazo
  - 规则komi：若gozo和disu则geka
的引理是that大多数shortens这证明什么？

Belitler: olgu: runi; olgu: geva; olgu: nuru.
Adaylar: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Hedef desu.
Kurallar:
  - kural beza: eğer geka ve zazo ise desu
  - kural zodi: eğer nuru ve zazo ise gozo
  - kural doza: eğer nuru ve geva ise disu
  - kural papo: eğer geka ve gozo ise desu
  - kural meve: eğer nuru ve geva ise zazo
  - kural komi: eğer gozo ve disu ise geka
Lemma that çoğu shortens ispat ne?

Axioms: fact: runi; fact: geva; fact: nuru.
Wagombea ni: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Lengo ni desu.
Sheria ni:
  - kanuni beza: kama geka na zazo basi desu
  - kanuni zodi: kama nuru na zazo basi gozo
  - kanuni doza: kama nuru na geva basi disu
  - kanuni papo: kama geka na gozo basi desu
  - kanuni meve: kama nuru na geva basi zazo
  - kanuni komi: kama gozo na disu basi geka
Lemma that wengi shortens proof nini?

The axioms are: fact runi; fact geva; fact nuru.
The candidates are: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
The goal is desu.
The rules are:
  - rule beza: desu if geka and zazo
  - rule zodi: gozo if nuru and zazo
  - rule doza: disu if nuru and geva
  - rule papo: desu if geka and gozo
  - rule meve: zazo if nuru and geva
  - rule komi: geka if gozo and disu
What is the lemma that most shortens the proof?

{axioms: [(fact runi) (fact geva) (fact nuru)], candidates: [(lemma k0 disu) (lemma k1 gozo) (lemma k2 zazo) (lemma k3 geka)], goal: desu, query: lemma_that_most_shortens_the_proof, rules: [(rule beza desu [geka zazo]) (rule zodi gozo [nuru zazo]) (rule doza disu [nuru geva]) (rule papo desu [geka gozo]) (rule meve zazo [nuru geva]) (rule komi geka [gozo disu])]}

Axiome: Tatsache runi; Tatsache geva; Tatsache nuru.
Die Kandidaten sind: k0 Lemma disu; k1 Lemma gozo; k2 Lemma zazo; k3 Lemma geka.
Ziel: desu.
Die Regeln sind:
  - Regel beza: desu wenn geka und zazo
  - Regel zodi: gozo wenn nuru und zazo
  - Regel doza: disu wenn nuru und geva
  - Regel papo: desu wenn geka und gozo
  - Regel meve: zazo wenn nuru und geva
  - Regel komi: geka wenn gozo und disu
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница runi; чи̏њеница geva; чи̏њеница nuru.
Кандѝда̄т: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Ци̑љ: desu.
Пра̏вило:
  - пра̏вило beza: desu ȁko geka и zazo
  - пра̏вило zodi: gozo ȁko nuru и zazo
  - пра̏вило doza: disu ȁko nuru и geva
  - пра̏вило papo: desu ȁko geka и gozo
  - пра̏вило meve: zazo ȁko nuru и geva
  - пра̏вило komi: geka ȁko gozo и disu
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia runi; tosiasia geva; tosiasia nuru.
Ehdokkaat: k0 perusmuoto disu; k1 perusmuoto gozo; k2 perusmuoto zazo; k3 perusmuoto geka.
Päämäärä: desu.
Säännöt:
  - sääntö beza: desu jos geka ja zazo
  - sääntö zodi: gozo jos nuru ja zazo
  - sääntö doza: disu jos nuru ja geva
  - sääntö papo: desu jos geka ja gozo
  - sääntö meve: zazo jos nuru ja geva
  - sääntö komi: geka jos gozo ja disu
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：runi；事实：geva；事实：nuru。
候选项如下：k0的引理是disu；k1的引理是gozo；k2的引理是zazo；k3的引理是geka。
目标是desu。
规则如下：
  - 规则beza：若geka和zazo则desu
  - 规则zodi：若nuru和zazo则gozo
  - 规则doza：若nuru和geva则disu
  - 规则papo：若geka和gozo则desu
  - 规则meve：若nuru和geva则zazo
  - 规则komi：若gozo和disu则geka
的引理是that大多数shortens这证明什么？

公理:事実:runi; 事実:geva; 事実:nuru.
候補者:k0disuレンマ; k1gozoレンマ; k2zazoレンマ; k3gekaレンマ.
目標:desu.
規則:
  - 規則beza:もし...gekaとzazoそれからdesu
  - 規則zodi:もし...nuruとzazoそれからgozo
  - 規則doza:もし...nuruとgevaそれからdisu
  - 規則papo:もし...gekaとgozoそれからdesu
  - 規則meve:もし...nuruとgevaそれからzazo
  - 規則komi:もし...gozoとdisuそれからgeka
レンマその大部分shortens証拠何と?

Belitler: olgu: runi; olgu: geva; olgu: nuru.
Adaylar: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Hedef desu.
Kurallar:
  - kural beza: eğer geka ve zazo ise desu
  - kural zodi: eğer nuru ve zazo ise gozo
  - kural doza: eğer nuru ve geva ise disu
  - kural papo: eğer geka ve gozo ise desu
  - kural meve: eğer nuru ve geva ise zazo
  - kural komi: eğer gozo ve disu ise geka
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة runi؛ مَعْلُومَة geva؛ مَعْلُومَة nuru.
مُرَشَّح: سُدَّة k0 disu؛ سُدَّة k1 gozo؛ سُدَّة k2 zazo؛ سُدَّة k3 geka.
هَدَف: desu.
قَانُون:
  - قَانُون beza: desu إِنْ geka وَـ zazo
  - قَانُون zodi: gozo إِنْ nuru وَـ zazo
  - قَانُون doza: disu إِنْ nuru وَـ geva
  - قَانُون papo: desu إِنْ geka وَـ gozo
  - قَانُون meve: zazo إِنْ nuru وَـ geva
  - قَانُون komi: geka إِنْ gozo وَـ disu
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი runi; ფაქტი geva; ფაქტი nuru.
Კანდიდატები: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Მიზანი: desu.
Წესი:
  - წესი beza: თუ geka და zazo მერე desu
  - წესი zodi: თუ nuru და zazo მერე gozo
  - წესი doza: თუ nuru და geva მერე disu
  - წესი papo: თუ geka და gozo მერე desu
  - წესი meve: თუ nuru და geva მერე zazo
  - წესი komi: თუ gozo და disu მერე geka
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka runi; meka geva; meka nuru.
Kaiwhakauru: lemma k0 disu; lemma k1 gozo; lemma k2 zazo; lemma k3 geka.
Hemonga: desu.
Rekureihana:
  - rekureihana beza: desu mēnā geka me zazo
  - rekureihana zodi: gozo mēnā nuru me zazo
  - rekureihana doza: disu mēnā nuru me geva
  - rekureihana papo: desu mēnā geka me gozo
  - rekureihana meve: zazo mēnā nuru me geva
  - rekureihana komi: geka mēnā gozo me disu
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật runi; sự thật geva; sự thật nuru.
Candidates: k0 mục từ disu; k1 mục từ gozo; k2 mục từ zazo; k3 mục từ geka.
Mục tiêu: desu.
Quy tắc:
  - rule beza: desu nếu geka và zazo
  - rule zodi: gozo nếu nuru và zazo
  - rule doza: disu nếu nuru và geva
  - rule papo: desu nếu geka và gozo
  - rule meve: zazo nếu nuru và geva
  - rule komi: geka nếu gozo và disu
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:runi; ข้อเท็จจริง:geva; ข้อเท็จจริง:nuru.
ผู้สมัคร:k0lemmadisu; k1lemmagozo; k2lemmazazo; k3lemmageka.
เป้าหมาย:desu.
กฎ:
  - กฎbeza:desugekaและzazo
  - กฎzodi:gozonuruและzazo
  - กฎdoza:disunuruและgeva
  - กฎpapo:desugekaและgozo
  - กฎmeve:zazonuruและgeva
  - กฎkomi:gekagozoและdisu
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact runi; fact geva; fact nuru.
வேட்பாளர்: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
goal: desu.
rules:
  - ஆள் beza: என்றால் geka மற்றும் zazo desu
  - ஆள் zodi: என்றால் nuru மற்றும் zazo gozo
  - ஆள் doza: என்றால் nuru மற்றும் geva disu
  - ஆள் papo: என்றால் geka மற்றும் gozo desu
  - ஆள் meve: என்றால் nuru மற்றும் geva zazo
  - ஆள் komi: என்றால் gozo மற்றும் disu geka
lemma எப்படி most shortens proof என்ன?

Axioms: fact: runi; fact: geva; fact: nuru.
Wagombea ni: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Lengo ni desu.
Sheria ni:
  - kanuni beza: kama geka na zazo basi desu
  - kanuni zodi: kama nuru na zazo basi gozo
  - kanuni doza: kama nuru na geva basi disu
  - kanuni papo: kama geka na gozo basi desu
  - kanuni meve: kama nuru na geva basi zazo
  - kanuni komi: kama gozo na disu basi geka
Lemma that wengi shortens proof nini?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Bee hazʼáanii:
  - rule beza: ládą́ą́ʼ geka dóó zazo índa desu
  - rule zodi: ládą́ą́ʼ nuru dóó zazo índa gozo
  - rule doza: ládą́ą́ʼ nuru dóó geva índa disu
  - rule papo: ládą́ą́ʼ geka dóó gozo índa desu
  - rule meve: ládą́ą́ʼ nuru dóó geva índa zazo
  - rule komi: ládą́ą́ʼ gozo dóó disu índa geka
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka aamma zazo desu
  - rule zodi: nuru aamma zazo gozo
  - rule doza: nuru aamma geva disu
  - rule papo: geka aamma gozo desu
  - rule meve: nuru aamma geva zazo
  - rule komi: gozo aamma disu geka
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu sapos geka na zazo
  - rule zodi: gozo sapos nuru na zazo
  - rule doza: disu sapos nuru na geva
  - rule papo: desu sapos geka na gozo
  - rule meve: zazo sapos nuru na geva
  - rule komi: geka sapos gozo na disu
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Nikanixi:
  - nikanixi beza: desu geka zazo
  - nikanixi zodi: gozo nuru zazo
  - nikanixi doza: disu nuru geva
  - nikanixi papo: desu geka gozo
  - nikanixi meve: zazo nuru geva
  - nikanixi komi: geka gozo disu
Lemma that most shortens proof kwèch?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka а zazo
  - rule zodi: gozo nuru а zazo
  - rule doza: disu nuru а geva
  - rule papo: desu geka а gozo
  - rule meve: zazo nuru а geva
  - rule komi: geka gozo а disu
Lemma that most shortens proof фу?

공리: 사실 runi; 사실 geva; 사실 nuru.
후보자: k0 disu 올림말; k1 gozo 올림말; k2 zazo 올림말; k3 geka 올림말.
목표: desu.
규칙:
  - 규칙 beza: 만약 geka zazo 나중에 desu
  - 규칙 zodi: 만약 nuru zazo 나중에 gozo
  - 규칙 doza: 만약 nuru geva 나중에 disu
  - 규칙 papo: 만약 geka gozo 나중에 desu
  - 규칙 meve: 만약 nuru geva 나중에 zazo
  - 규칙 komi: 만약 gozo disu 나중에 geka
올림말 그 가장 shortens 증거 무엇?

Axioms: fact runi; fact geva; fact nuru.
Kandidatu: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Helburu: desu.
Arau:
  - arau beza: geka eta zazo desu
  - arau zodi: nuru eta zazo gozo
  - arau doza: nuru eta geva disu
  - arau papo: geka eta gozo desu
  - arau meve: nuru eta geva zazo
  - arau komi: gozo eta disu geka
Lemma hura most shortens the proof zer?

Axioms: fact runi; fact geva; fact nuru.
ᎠᏙᎩᏯᏍᎩ: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka ᎠᎴ zazo
  - rule zodi: gozo nuru ᎠᎴ zazo
  - rule doza: disu nuru ᎠᎴ geva
  - rule papo: desu geka ᎠᎴ gozo
  - rule meve: zazo nuru ᎠᎴ geva
  - rule komi: geka gozo ᎠᎴ disu
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma chay most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka ыкӏи zazo desu
  - rule zodi: nuru ыкӏи zazo gozo
  - rule doza: nuru ыкӏи geva disu
  - rule papo: geka ыкӏи gozo desu
  - rule meve: nuru ыкӏи geva zazo
  - rule komi: gozo ыкӏи disu geka
Lemma that most shortens the proof сыд?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Cai:
  - cai beza: desu geka thiab zazo
  - cai zodi: gozo nuru thiab zazo
  - cai doza: disu nuru thiab geva
  - cai papo: desu geka thiab gozo
  - cai meve: zazo nuru thiab geva
  - cai komi: geka gozo thiab disu
Lemma qhov ntawd most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma that most shortens proof ining-jak?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka micha' zazo
  - rule zodi: gozo nuru micha' zazo
  - rule doza: disu nuru micha' geva
  - rule papo: desu geka micha' gozo
  - rule meve: zazo nuru micha' geva
  - rule komi: geka gozo micha' disu
Lemma that most shortens proof nanta?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka カ zazo desu
  - rule zodi: nuru カ zazo gozo
  - rule doza: nuru カ geva disu
  - rule papo: geka カ gozo desu
  - rule meve: nuru カ geva zazo
  - rule komi: gozo カ disu geka
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu эвыр geka ынкъам zazo
  - rule zodi: gozo эвыр nuru ынкъам zazo
  - rule doza: disu эвыр nuru ынкъам geva
  - rule papo: desu эвыр geka ынкъам gozo
  - rule meve: zazo эвыр nuru ынкъам geva
  - rule komi: geka эвыр gozo ынкъам disu
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu wa geka yéetel zazo
  - rule zodi: gozo wa nuru yéetel zazo
  - rule doza: disu wa nuru yéetel geva
  - rule papo: desu wa geka yéetel gozo
  - rule meve: zazo wa nuru yéetel geva
  - rule komi: geka wa gozo yéetel disu
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma that most shortens proof híli?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka na zazo desu
  - rule zodi: nuru na zazo gozo
  - rule doza: nuru na geva disu
  - rule papo: geka na gozo desu
  - rule meve: nuru na geva zazo
  - rule komi: gozo na disu geka
Lemma that most shortens the proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma that most shortens the proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka zazo desu
  - rule zodi: nuru zazo gozo
  - rule doza: nuru geva disu
  - rule papo: geka gozo desu
  - rule meve: nuru geva zazo
  - rule komi: gozo disu geka
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka ǂʻá zazo
  - rule zodi: gozo nuru ǂʻá zazo
  - rule doza: disu nuru ǂʻá geva
  - rule papo: desu geka ǂʻá gozo
  - rule meve: zazo nuru ǂʻá geva
  - rule komi: geka gozo ǂʻá disu
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka zazo desu
  - rule zodi: nuru zazo gozo
  - rule doza: nuru geva disu
  - rule papo: geka gozo desu
  - rule meve: nuru geva zazo
  - rule komi: gozo disu geka
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka zazo desu
  - rule zodi: nuru zazo gozo
  - rule doza: nuru geva disu
  - rule papo: geka gozo desu
  - rule meve: nuru geva zazo
  - rule komi: gozo disu geka
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma that most shortens the proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma that most shortens ne proof tay?

Axiomes : fait runi ; fait geva ; fait nuru.
Les candidats sont : k0 lemme disu ; k1 lemme gozo ; k2 lemme zazo ; k3 lemme geka.
Objectif : desu.
Les règles sont:
  - règle beza: desu si geka et zazo
  - règle zodi: gozo si nuru et zazo
  - règle doza: disu si nuru et geva
  - règle papo: desu si geka et gozo
  - règle meve: zazo si nuru et geva
  - règle komi: geka si gozo et disu
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto runi; fakto geva; fakto nuru.
Kandidato: k0 lemo disu; k1 lemo gozo; k2 lemo zazo; k3 lemo geka.
Celo: desu.
Regulo:
  - regulo beza: desu se geka kaj zazo
  - regulo zodi: gozo se nuru kaj zazo
  - regulo doza: disu se nuru kaj geva
  - regulo papo: desu se geka kaj gozo
  - regulo meve: zazo se nuru kaj geva
  - regulo komi: geka se gozo kaj disu
Lemo ke plej shortens pruvo kio?

Axiómák: tény runi; tény geva; tény nuru.
Indulók: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Cél: desu.
Szabályok:
  - szabály beza: desu ha geka és zazo
  - szabály zodi: gozo ha nuru és zazo
  - szabály doza: disu ha nuru és geva
  - szabály papo: desu ha geka és gozo
  - szabály meve: zazo ha nuru és geva
  - szabály komi: geka ha gozo és disu
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:runi; 事實:geva; 事實:nuru.
候選人:k0lemmadisu; k1lemmagozo; k2lemmazazo; k3lemmageka.
入波:desu.
rules:
  - rulebeza:desu要是geka及zazo
  - rulezodi:gozo要是nuru及zazo
  - ruledoza:disu要是nuru及geva
  - rulepapo:desu要是geka及gozo
  - rulemeve:zazo要是nuru及geva
  - rulekomi:geka要是gozo及disu
lemma嘅多數shortensproof乜嘢?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka とぅ zazo
  - rule zodi: gozo nuru とぅ zazo
  - rule doza: disu nuru とぅ geva
  - rule papo: desu geka とぅ gozo
  - rule meve: zazo nuru とぅ geva
  - rule komi: geka gozo とぅ disu
Lemma that most shortens proof what?

Аксиома: факт runi; факт geva; факт nuru.
Үміткер: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Мақсат: desu.
Ереже:
  - ереже beza: desu егер geka және zazo
  - ереже zodi: gozo егер nuru және zazo
  - ереже doza: disu егер nuru және geva
  - ереже papo: desu егер geka және gozo
  - ереже meve: zazo егер nuru және geva
  - ереже komi: geka егер gozo және disu
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה runi; עובדה geva; עובדה nuru.
מועמדת: k0 למה disu; k1 למה gozo; k2 למה zazo; k3 למה geka.
מַטָּרָה: desu.
מָשַׁל:
  - מָשַׁל beza: desu אִם geka וְ־ zazo
  - מָשַׁל zodi: gozo אִם nuru וְ־ zazo
  - מָשַׁל doza: disu אִם nuru וְ־ geva
  - מָשַׁל papo: desu אִם geka וְ־ gozo
  - מָשַׁל meve: zazo אִם nuru וְ־ geva
  - מָשַׁל komi: geka אִם gozo וְ־ disu
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka დო zazo
  - rule zodi: gozo nuru დო zazo
  - rule doza: disu nuru დო geva
  - rule papo: desu geka დო gozo
  - rule meve: zazo nuru დო geva
  - rule komi: geka gozo დო disu
Lemma that most shortens proof what?

Aksioma-aksioma: fact runi; fact geva; fact nuru.
Kandidat: k0 lema disu; k1 lema gozo; k2 lema zazo; k3 lema geka.
Tujuan: desu.
Rules:
  - rule beza: desu jika geka dan zazo
  - rule zodi: gozo jika nuru dan zazo
  - rule doza: disu jika nuru dan geva
  - rule papo: desu jika geka dan gozo
  - rule meve: zazo jika nuru dan geva
  - rule komi: geka jika gozo dan disu
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:runi; fact:geva; fact:nuru.
បេក្ខជន:k0lemmadisu; k1lemmagozo; k2lemmazazo; k3lemmageka.
ទិស:desu.
ក្បួន:
  - ក្បួនbeza:desuបើgekaនឹងzazo
  - ក្បួនzodi:gozoបើnuruនឹងzazo
  - ក្បួនdoza:disuបើnuruនឹងgeva
  - ក្បួនpapo:desuបើgekaនឹងgozo
  - ក្បួនmeve:zazoបើnuruនឹងgeva
  - ក្បួនkomi:gekaបើgozoនឹងdisu
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:runi; fact:geva; fact:nuru.
ຜູ້ສະໝັກ:k0lemmadisu; k1lemmagozo; k2lemmazazo; k3lemmageka.
ເປົ້າໝາຍ:desu.
ກະຕິກາ:
  - ກະຕິກາbeza:desuຖ້າgekaແລະzazo
  - ກະຕິກາzodi:gozoຖ້າnuruແລະzazo
  - ກະຕິກາdoza:disuຖ້າnuruແລະgeva
  - ກະຕິກາpapo:desuຖ້າgekaແລະgozo
  - ກະຕິກາmeve:zazoຖ້າnuruແລະgeva
  - ກະຕິກາkomi:gekaຖ້າgozoແລະdisu
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి runi; నిజానికి geva; నిజానికి nuru.
candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
లక్ష్యం: desu.
నియమం:
  - నియమం beza: అయితే geka మరియు zazo అప్పుడు desu
  - నియమం zodi: అయితే nuru మరియు zazo అప్పుడు gozo
  - నియమం doza: అయితే nuru మరియు geva అప్పుడు disu
  - నియమం papo: అయితే geka మరియు gozo అప్పుడు desu
  - నియమం meve: అయితే nuru మరియు geva అప్పుడు zazo
  - నియమం komi: అయితే gozo మరియు disu అప్పుడు geka
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
What lemma that most shortens proof?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka zazo desu
  - rule zodi: nuru zazo gozo
  - rule doza: nuru geva disu
  - rule papo: geka gozo desu
  - rule meve: nuru geva zazo
  - rule komi: gozo disu geka
Lemma that most shortens the proof what?

axioms: fact runi; fact geva; fact nuru.
candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
goal: desu.
rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 lemma disu; k1 lemma gozo; k2 lemma zazo; k3 lemma geka.
Goal: desu.
Rules:
  - rule beza: desu geka zazo
  - rule zodi: gozo nuru zazo
  - rule doza: disu nuru geva
  - rule papo: desu geka gozo
  - rule meve: zazo nuru geva
  - rule komi: geka gozo disu
Lemma that most shortens proof what?

Axioms: fact runi; fact geva; fact nuru.
Candidates: k0 disu lemma; k1 gozo lemma; k2 zazo lemma; k3 geka lemma.
Goal: desu.
Rules:
  - rule beza: geka zazo desu
  - rule zodi: nuru zazo gozo
  - rule doza: nuru geva disu
  - rule papo: geka gozo desu
  - rule meve: nuru geva zazo
  - rule komi: gozo disu geka
Lemma that most shortens proof вуч?

The axioms are: fact gate; fact toki; fact gogi.
The candidates are: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
The goal is koto.
The rules are:
  - rule povi: tida if pedi and ruzo
  - rule sosi: ruki if ruzo and gate
  - rule pedo: pedi if gogi and toki
  - rule dani: pedi if toki and gate
  - rule nope: ruzo if pedi and gate
  - rule viri: ruki if gate and ruzo
  - rule niro: koto if ruki and ruzo
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: gate; el hecho: toki; el hecho: gogi.
Los candidatos son: k0 el lema tida; k1 el lema ruki; k2 el lema ruzo; k3 el lema pedi.
El objetivo es koto.
Las reglas son:
  - regla povi: tida si pedi y ruzo
  - regla sosi: ruki si ruzo y gate
  - regla pedo: pedi si gogi y toki
  - regla dani: pedi si toki y gate
  - regla nope: ruzo si pedi y gate
  - regla viri: ruki si gate y ruzo
  - regla niro: koto si ruki y ruzo
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：gate；事实：toki；事实：gogi。
候选项如下：k0的引理是tida；k1的引理是ruki；k2的引理是ruzo；k3的引理是pedi。
目标是koto。
规则如下：
  - 规则povi：若pedi和ruzo则tida
  - 规则sosi：若ruzo和gate则ruki
  - 规则pedo：若gogi和toki则pedi
  - 规则dani：若toki和gate则pedi
  - 规则nope：若pedi和gate则ruzo
  - 规则viri：若gate和ruzo则ruki
  - 规则niro：若ruki和ruzo则koto
的引理是that大多数shortens这证明什么？

Belitler: olgu: gate; olgu: toki; olgu: gogi.
Adaylar: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Hedef koto.
Kurallar:
  - kural povi: eğer pedi ve ruzo ise tida
  - kural sosi: eğer ruzo ve gate ise ruki
  - kural pedo: eğer gogi ve toki ise pedi
  - kural dani: eğer toki ve gate ise pedi
  - kural nope: eğer pedi ve gate ise ruzo
  - kural viri: eğer gate ve ruzo ise ruki
  - kural niro: eğer ruki ve ruzo ise koto
Lemma that çoğu shortens ispat ne?

Axioms: fact: gate; fact: toki; fact: gogi.
Wagombea ni: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Lengo ni koto.
Sheria ni:
  - kanuni povi: kama pedi na ruzo basi tida
  - kanuni sosi: kama ruzo na gate basi ruki
  - kanuni pedo: kama gogi na toki basi pedi
  - kanuni dani: kama toki na gate basi pedi
  - kanuni nope: kama pedi na gate basi ruzo
  - kanuni viri: kama gate na ruzo basi ruki
  - kanuni niro: kama ruki na ruzo basi koto
Lemma that wengi shortens proof nini?

The axioms are: fact gate; fact toki; fact gogi.
The candidates are: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
The goal is koto.
The rules are:
  - rule povi: tida if pedi and ruzo
  - rule sosi: ruki if ruzo and gate
  - rule pedo: pedi if gogi and toki
  - rule dani: pedi if toki and gate
  - rule nope: ruzo if pedi and gate
  - rule viri: ruki if gate and ruzo
  - rule niro: koto if ruki and ruzo
What is the lemma that most shortens the proof?

{axioms: [(fact gate) (fact toki) (fact gogi)], candidates: [(lemma k0 tida) (lemma k1 ruki) (lemma k2 ruzo) (lemma k3 pedi)], goal: koto, query: lemma_that_most_shortens_the_proof, rules: [(rule povi tida [pedi ruzo]) (rule sosi ruki [ruzo gate]) (rule pedo pedi [gogi toki]) (rule dani pedi [toki gate]) (rule nope ruzo [pedi gate]) (rule viri ruki [gate ruzo]) (rule niro koto [ruki ruzo])]}

Axiome: Tatsache gate; Tatsache toki; Tatsache gogi.
Die Kandidaten sind: k0 Lemma tida; k1 Lemma ruki; k2 Lemma ruzo; k3 Lemma pedi.
Ziel: koto.
Die Regeln sind:
  - Regel povi: tida wenn pedi und ruzo
  - Regel sosi: ruki wenn ruzo und gate
  - Regel pedo: pedi wenn gogi und toki
  - Regel dani: pedi wenn toki und gate
  - Regel nope: ruzo wenn pedi und gate
  - Regel viri: ruki wenn gate und ruzo
  - Regel niro: koto wenn ruki und ruzo
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница gate; чи̏њеница toki; чи̏њеница gogi.
Кандѝда̄т: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Ци̑љ: koto.
Пра̏вило:
  - пра̏вило povi: tida ȁko pedi и ruzo
  - пра̏вило sosi: ruki ȁko ruzo и gate
  - пра̏вило pedo: pedi ȁko gogi и toki
  - пра̏вило dani: pedi ȁko toki и gate
  - пра̏вило nope: ruzo ȁko pedi и gate
  - пра̏вило viri: ruki ȁko gate и ruzo
  - пра̏вило niro: koto ȁko ruki и ruzo
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia gate; tosiasia toki; tosiasia gogi.
Ehdokkaat: k0 perusmuoto tida; k1 perusmuoto ruki; k2 perusmuoto ruzo; k3 perusmuoto pedi.
Päämäärä: koto.
Säännöt:
  - sääntö povi: tida jos pedi ja ruzo
  - sääntö sosi: ruki jos ruzo ja gate
  - sääntö pedo: pedi jos gogi ja toki
  - sääntö dani: pedi jos toki ja gate
  - sääntö nope: ruzo jos pedi ja gate
  - sääntö viri: ruki jos gate ja ruzo
  - sääntö niro: koto jos ruki ja ruzo
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：gate；事实：toki；事实：gogi。
候选项如下：k0的引理是tida；k1的引理是ruki；k2的引理是ruzo；k3的引理是pedi。
目标是koto。
规则如下：
  - 规则povi：若pedi和ruzo则tida
  - 规则sosi：若ruzo和gate则ruki
  - 规则pedo：若gogi和toki则pedi
  - 规则dani：若toki和gate则pedi
  - 规则nope：若pedi和gate则ruzo
  - 规则viri：若gate和ruzo则ruki
  - 规则niro：若ruki和ruzo则koto
的引理是that大多数shortens这证明什么？

公理:事実:gate; 事実:toki; 事実:gogi.
候補者:k0tidaレンマ; k1rukiレンマ; k2ruzoレンマ; k3pediレンマ.
目標:koto.
規則:
  - 規則povi:もし...pediとruzoそれからtida
  - 規則sosi:もし...ruzoとgateそれからruki
  - 規則pedo:もし...gogiとtokiそれからpedi
  - 規則dani:もし...tokiとgateそれからpedi
  - 規則nope:もし...pediとgateそれからruzo
  - 規則viri:もし...gateとruzoそれからruki
  - 規則niro:もし...rukiとruzoそれからkoto
レンマその大部分shortens証拠何と?

Belitler: olgu: gate; olgu: toki; olgu: gogi.
Adaylar: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Hedef koto.
Kurallar:
  - kural povi: eğer pedi ve ruzo ise tida
  - kural sosi: eğer ruzo ve gate ise ruki
  - kural pedo: eğer gogi ve toki ise pedi
  - kural dani: eğer toki ve gate ise pedi
  - kural nope: eğer pedi ve gate ise ruzo
  - kural viri: eğer gate ve ruzo ise ruki
  - kural niro: eğer ruki ve ruzo ise koto
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة gate؛ مَعْلُومَة toki؛ مَعْلُومَة gogi.
مُرَشَّح: سُدَّة k0 tida؛ سُدَّة k1 ruki؛ سُدَّة k2 ruzo؛ سُدَّة k3 pedi.
هَدَف: koto.
قَانُون:
  - قَانُون povi: tida إِنْ pedi وَـ ruzo
  - قَانُون sosi: ruki إِنْ ruzo وَـ gate
  - قَانُون pedo: pedi إِنْ gogi وَـ toki
  - قَانُون dani: pedi إِنْ toki وَـ gate
  - قَانُون nope: ruzo إِنْ pedi وَـ gate
  - قَانُون viri: ruki إِنْ gate وَـ ruzo
  - قَانُون niro: koto إِنْ ruki وَـ ruzo
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი gate; ფაქტი toki; ფაქტი gogi.
Კანდიდატები: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Მიზანი: koto.
Წესი:
  - წესი povi: თუ pedi და ruzo მერე tida
  - წესი sosi: თუ ruzo და gate მერე ruki
  - წესი pedo: თუ gogi და toki მერე pedi
  - წესი dani: თუ toki და gate მერე pedi
  - წესი nope: თუ pedi და gate მერე ruzo
  - წესი viri: თუ gate და ruzo მერე ruki
  - წესი niro: თუ ruki და ruzo მერე koto
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka gate; meka toki; meka gogi.
Kaiwhakauru: lemma k0 tida; lemma k1 ruki; lemma k2 ruzo; lemma k3 pedi.
Hemonga: koto.
Rekureihana:
  - rekureihana povi: tida mēnā pedi me ruzo
  - rekureihana sosi: ruki mēnā ruzo me gate
  - rekureihana pedo: pedi mēnā gogi me toki
  - rekureihana dani: pedi mēnā toki me gate
  - rekureihana nope: ruzo mēnā pedi me gate
  - rekureihana viri: ruki mēnā gate me ruzo
  - rekureihana niro: koto mēnā ruki me ruzo
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật gate; sự thật toki; sự thật gogi.
Candidates: k0 mục từ tida; k1 mục từ ruki; k2 mục từ ruzo; k3 mục từ pedi.
Mục tiêu: koto.
Quy tắc:
  - rule povi: tida nếu pedi và ruzo
  - rule sosi: ruki nếu ruzo và gate
  - rule pedo: pedi nếu gogi và toki
  - rule dani: pedi nếu toki và gate
  - rule nope: ruzo nếu pedi và gate
  - rule viri: ruki nếu gate và ruzo
  - rule niro: koto nếu ruki và ruzo
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:gate; ข้อเท็จจริง:toki; ข้อเท็จจริง:gogi.
ผู้สมัคร:k0lemmatida; k1lemmaruki; k2lemmaruzo; k3lemmapedi.
เป้าหมาย:koto.
กฎ:
  - กฎpovi:tidapediและruzo
  - กฎsosi:rukiruzoและgate
  - กฎpedo:pedigogiและtoki
  - กฎdani:peditokiและgate
  - กฎnope:ruzopediและgate
  - กฎviri:rukigateและruzo
  - กฎniro:kotorukiและruzo
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact gate; fact toki; fact gogi.
வேட்பாளர்: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
goal: koto.
rules:
  - ஆள் povi: என்றால் pedi மற்றும் ruzo tida
  - ஆள் sosi: என்றால் ruzo மற்றும் gate ruki
  - ஆள் pedo: என்றால் gogi மற்றும் toki pedi
  - ஆள் dani: என்றால் toki மற்றும் gate pedi
  - ஆள் nope: என்றால் pedi மற்றும் gate ruzo
  - ஆள் viri: என்றால் gate மற்றும் ruzo ruki
  - ஆள் niro: என்றால் ruki மற்றும் ruzo koto
lemma எப்படி most shortens proof என்ன?

Axioms: fact: gate; fact: toki; fact: gogi.
Wagombea ni: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Lengo ni koto.
Sheria ni:
  - kanuni povi: kama pedi na ruzo basi tida
  - kanuni sosi: kama ruzo na gate basi ruki
  - kanuni pedo: kama gogi na toki basi pedi
  - kanuni dani: kama toki na gate basi pedi
  - kanuni nope: kama pedi na gate basi ruzo
  - kanuni viri: kama gate na ruzo basi ruki
  - kanuni niro: kama ruki na ruzo basi koto
Lemma that wengi shortens proof nini?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Bee hazʼáanii:
  - rule povi: ládą́ą́ʼ pedi dóó ruzo índa tida
  - rule sosi: ládą́ą́ʼ ruzo dóó gate índa ruki
  - rule pedo: ládą́ą́ʼ gogi dóó toki índa pedi
  - rule dani: ládą́ą́ʼ toki dóó gate índa pedi
  - rule nope: ládą́ą́ʼ pedi dóó gate índa ruzo
  - rule viri: ládą́ą́ʼ gate dóó ruzo índa ruki
  - rule niro: ládą́ą́ʼ ruki dóó ruzo índa koto
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi aamma ruzo tida
  - rule sosi: ruzo aamma gate ruki
  - rule pedo: gogi aamma toki pedi
  - rule dani: toki aamma gate pedi
  - rule nope: pedi aamma gate ruzo
  - rule viri: gate aamma ruzo ruki
  - rule niro: ruki aamma ruzo koto
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida sapos pedi na ruzo
  - rule sosi: ruki sapos ruzo na gate
  - rule pedo: pedi sapos gogi na toki
  - rule dani: pedi sapos toki na gate
  - rule nope: ruzo sapos pedi na gate
  - rule viri: ruki sapos gate na ruzo
  - rule niro: koto sapos ruki na ruzo
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Nikanixi:
  - nikanixi povi: tida pedi ruzo
  - nikanixi sosi: ruki ruzo gate
  - nikanixi pedo: pedi gogi toki
  - nikanixi dani: pedi toki gate
  - nikanixi nope: ruzo pedi gate
  - nikanixi viri: ruki gate ruzo
  - nikanixi niro: koto ruki ruzo
Lemma that most shortens proof kwèch?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi а ruzo
  - rule sosi: ruki ruzo а gate
  - rule pedo: pedi gogi а toki
  - rule dani: pedi toki а gate
  - rule nope: ruzo pedi а gate
  - rule viri: ruki gate а ruzo
  - rule niro: koto ruki а ruzo
Lemma that most shortens proof фу?

공리: 사실 gate; 사실 toki; 사실 gogi.
후보자: k0 tida 올림말; k1 ruki 올림말; k2 ruzo 올림말; k3 pedi 올림말.
목표: koto.
규칙:
  - 규칙 povi: 만약 pedi ruzo 나중에 tida
  - 규칙 sosi: 만약 ruzo gate 나중에 ruki
  - 규칙 pedo: 만약 gogi toki 나중에 pedi
  - 규칙 dani: 만약 toki gate 나중에 pedi
  - 규칙 nope: 만약 pedi gate 나중에 ruzo
  - 규칙 viri: 만약 gate ruzo 나중에 ruki
  - 규칙 niro: 만약 ruki ruzo 나중에 koto
올림말 그 가장 shortens 증거 무엇?

Axioms: fact gate; fact toki; fact gogi.
Kandidatu: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Helburu: koto.
Arau:
  - arau povi: pedi eta ruzo tida
  - arau sosi: ruzo eta gate ruki
  - arau pedo: gogi eta toki pedi
  - arau dani: toki eta gate pedi
  - arau nope: pedi eta gate ruzo
  - arau viri: gate eta ruzo ruki
  - arau niro: ruki eta ruzo koto
Lemma hura most shortens the proof zer?

Axioms: fact gate; fact toki; fact gogi.
ᎠᏙᎩᏯᏍᎩ: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ᎠᎴ ruzo
  - rule sosi: ruki ruzo ᎠᎴ gate
  - rule pedo: pedi gogi ᎠᎴ toki
  - rule dani: pedi toki ᎠᎴ gate
  - rule nope: ruzo pedi ᎠᎴ gate
  - rule viri: ruki gate ᎠᎴ ruzo
  - rule niro: koto ruki ᎠᎴ ruzo
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma chay most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi ыкӏи ruzo tida
  - rule sosi: ruzo ыкӏи gate ruki
  - rule pedo: gogi ыкӏи toki pedi
  - rule dani: toki ыкӏи gate pedi
  - rule nope: pedi ыкӏи gate ruzo
  - rule viri: gate ыкӏи ruzo ruki
  - rule niro: ruki ыкӏи ruzo koto
Lemma that most shortens the proof сыд?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Cai:
  - cai povi: tida pedi thiab ruzo
  - cai sosi: ruki ruzo thiab gate
  - cai pedo: pedi gogi thiab toki
  - cai dani: pedi toki thiab gate
  - cai nope: ruzo pedi thiab gate
  - cai viri: ruki gate thiab ruzo
  - cai niro: koto ruki thiab ruzo
Lemma qhov ntawd most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma that most shortens proof ining-jak?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi micha' ruzo
  - rule sosi: ruki ruzo micha' gate
  - rule pedo: pedi gogi micha' toki
  - rule dani: pedi toki micha' gate
  - rule nope: ruzo pedi micha' gate
  - rule viri: ruki gate micha' ruzo
  - rule niro: koto ruki micha' ruzo
Lemma that most shortens proof nanta?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi カ ruzo tida
  - rule sosi: ruzo カ gate ruki
  - rule pedo: gogi カ toki pedi
  - rule dani: toki カ gate pedi
  - rule nope: pedi カ gate ruzo
  - rule viri: gate カ ruzo ruki
  - rule niro: ruki カ ruzo koto
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida эвыр pedi ынкъам ruzo
  - rule sosi: ruki эвыр ruzo ынкъам gate
  - rule pedo: pedi эвыр gogi ынкъам toki
  - rule dani: pedi эвыр toki ынкъам gate
  - rule nope: ruzo эвыр pedi ынкъам gate
  - rule viri: ruki эвыр gate ынкъам ruzo
  - rule niro: koto эвыр ruki ынкъам ruzo
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida wa pedi yéetel ruzo
  - rule sosi: ruki wa ruzo yéetel gate
  - rule pedo: pedi wa gogi yéetel toki
  - rule dani: pedi wa toki yéetel gate
  - rule nope: ruzo wa pedi yéetel gate
  - rule viri: ruki wa gate yéetel ruzo
  - rule niro: koto wa ruki yéetel ruzo
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma that most shortens proof híli?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi na ruzo tida
  - rule sosi: ruzo na gate ruki
  - rule pedo: gogi na toki pedi
  - rule dani: toki na gate pedi
  - rule nope: pedi na gate ruzo
  - rule viri: gate na ruzo ruki
  - rule niro: ruki na ruzo koto
Lemma that most shortens the proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma that most shortens the proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi ruzo tida
  - rule sosi: ruzo gate ruki
  - rule pedo: gogi toki pedi
  - rule dani: toki gate pedi
  - rule nope: pedi gate ruzo
  - rule viri: gate ruzo ruki
  - rule niro: ruki ruzo koto
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ǂʻá ruzo
  - rule sosi: ruki ruzo ǂʻá gate
  - rule pedo: pedi gogi ǂʻá toki
  - rule dani: pedi toki ǂʻá gate
  - rule nope: ruzo pedi ǂʻá gate
  - rule viri: ruki gate ǂʻá ruzo
  - rule niro: koto ruki ǂʻá ruzo
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi ruzo tida
  - rule sosi: ruzo gate ruki
  - rule pedo: gogi toki pedi
  - rule dani: toki gate pedi
  - rule nope: pedi gate ruzo
  - rule viri: gate ruzo ruki
  - rule niro: ruki ruzo koto
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi ruzo tida
  - rule sosi: ruzo gate ruki
  - rule pedo: gogi toki pedi
  - rule dani: toki gate pedi
  - rule nope: pedi gate ruzo
  - rule viri: gate ruzo ruki
  - rule niro: ruki ruzo koto
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma that most shortens the proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma that most shortens ne proof tay?

Axiomes : fait gate ; fait toki ; fait gogi.
Les candidats sont : k0 lemme tida ; k1 lemme ruki ; k2 lemme ruzo ; k3 lemme pedi.
Objectif : koto.
Les règles sont:
  - règle povi: tida si pedi et ruzo
  - règle sosi: ruki si ruzo et gate
  - règle pedo: pedi si gogi et toki
  - règle dani: pedi si toki et gate
  - règle nope: ruzo si pedi et gate
  - règle viri: ruki si gate et ruzo
  - règle niro: koto si ruki et ruzo
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto gate; fakto toki; fakto gogi.
Kandidato: k0 lemo tida; k1 lemo ruki; k2 lemo ruzo; k3 lemo pedi.
Celo: koto.
Regulo:
  - regulo povi: tida se pedi kaj ruzo
  - regulo sosi: ruki se ruzo kaj gate
  - regulo pedo: pedi se gogi kaj toki
  - regulo dani: pedi se toki kaj gate
  - regulo nope: ruzo se pedi kaj gate
  - regulo viri: ruki se gate kaj ruzo
  - regulo niro: koto se ruki kaj ruzo
Lemo ke plej shortens pruvo kio?

Axiómák: tény gate; tény toki; tény gogi.
Indulók: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Cél: koto.
Szabályok:
  - szabály povi: tida ha pedi és ruzo
  - szabály sosi: ruki ha ruzo és gate
  - szabály pedo: pedi ha gogi és toki
  - szabály dani: pedi ha toki és gate
  - szabály nope: ruzo ha pedi és gate
  - szabály viri: ruki ha gate és ruzo
  - szabály niro: koto ha ruki és ruzo
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:gate; 事實:toki; 事實:gogi.
候選人:k0lemmatida; k1lemmaruki; k2lemmaruzo; k3lemmapedi.
入波:koto.
rules:
  - rulepovi:tida要是pedi及ruzo
  - rulesosi:ruki要是ruzo及gate
  - rulepedo:pedi要是gogi及toki
  - ruledani:pedi要是toki及gate
  - rulenope:ruzo要是pedi及gate
  - ruleviri:ruki要是gate及ruzo
  - ruleniro:koto要是ruki及ruzo
lemma嘅多數shortensproof乜嘢?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi とぅ ruzo
  - rule sosi: ruki ruzo とぅ gate
  - rule pedo: pedi gogi とぅ toki
  - rule dani: pedi toki とぅ gate
  - rule nope: ruzo pedi とぅ gate
  - rule viri: ruki gate とぅ ruzo
  - rule niro: koto ruki とぅ ruzo
Lemma that most shortens proof what?

Аксиома: факт gate; факт toki; факт gogi.
Үміткер: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Мақсат: koto.
Ереже:
  - ереже povi: tida егер pedi және ruzo
  - ереже sosi: ruki егер ruzo және gate
  - ереже pedo: pedi егер gogi және toki
  - ереже dani: pedi егер toki және gate
  - ереже nope: ruzo егер pedi және gate
  - ереже viri: ruki егер gate және ruzo
  - ереже niro: koto егер ruki және ruzo
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה gate; עובדה toki; עובדה gogi.
מועמדת: k0 למה tida; k1 למה ruki; k2 למה ruzo; k3 למה pedi.
מַטָּרָה: koto.
מָשַׁל:
  - מָשַׁל povi: tida אִם pedi וְ־ ruzo
  - מָשַׁל sosi: ruki אִם ruzo וְ־ gate
  - מָשַׁל pedo: pedi אִם gogi וְ־ toki
  - מָשַׁל dani: pedi אִם toki וְ־ gate
  - מָשַׁל nope: ruzo אִם pedi וְ־ gate
  - מָשַׁל viri: ruki אִם gate וְ־ ruzo
  - מָשַׁל niro: koto אִם ruki וְ־ ruzo
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi დო ruzo
  - rule sosi: ruki ruzo დო gate
  - rule pedo: pedi gogi დო toki
  - rule dani: pedi toki დო gate
  - rule nope: ruzo pedi დო gate
  - rule viri: ruki gate დო ruzo
  - rule niro: koto ruki დო ruzo
Lemma that most shortens proof what?

Aksioma-aksioma: fact gate; fact toki; fact gogi.
Kandidat: k0 lema tida; k1 lema ruki; k2 lema ruzo; k3 lema pedi.
Tujuan: koto.
Rules:
  - rule povi: tida jika pedi dan ruzo
  - rule sosi: ruki jika ruzo dan gate
  - rule pedo: pedi jika gogi dan toki
  - rule dani: pedi jika toki dan gate
  - rule nope: ruzo jika pedi dan gate
  - rule viri: ruki jika gate dan ruzo
  - rule niro: koto jika ruki dan ruzo
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:gate; fact:toki; fact:gogi.
បេក្ខជន:k0lemmatida; k1lemmaruki; k2lemmaruzo; k3lemmapedi.
ទិស:koto.
ក្បួន:
  - ក្បួនpovi:tidaបើpediនឹងruzo
  - ក្បួនsosi:rukiបើruzoនឹងgate
  - ក្បួនpedo:pediបើgogiនឹងtoki
  - ក្បួនdani:pediបើtokiនឹងgate
  - ក្បួនnope:ruzoបើpediនឹងgate
  - ក្បួនviri:rukiបើgateនឹងruzo
  - ក្បួនniro:kotoបើrukiនឹងruzo
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:gate; fact:toki; fact:gogi.
ຜູ້ສະໝັກ:k0lemmatida; k1lemmaruki; k2lemmaruzo; k3lemmapedi.
ເປົ້າໝາຍ:koto.
ກະຕິກາ:
  - ກະຕິກາpovi:tidaຖ້າpediແລະruzo
  - ກະຕິກາsosi:rukiຖ້າruzoແລະgate
  - ກະຕິກາpedo:pediຖ້າgogiແລະtoki
  - ກະຕິກາdani:pediຖ້າtokiແລະgate
  - ກະຕິກາnope:ruzoຖ້າpediແລະgate
  - ກະຕິກາviri:rukiຖ້າgateແລະruzo
  - ກະຕິກາniro:kotoຖ້າrukiແລະruzo
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి gate; నిజానికి toki; నిజానికి gogi.
candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
లక్ష్యం: koto.
నియమం:
  - నియమం povi: అయితే pedi మరియు ruzo అప్పుడు tida
  - నియమం sosi: అయితే ruzo మరియు gate అప్పుడు ruki
  - నియమం pedo: అయితే gogi మరియు toki అప్పుడు pedi
  - నియమం dani: అయితే toki మరియు gate అప్పుడు pedi
  - నియమం nope: అయితే pedi మరియు gate అప్పుడు ruzo
  - నియమం viri: అయితే gate మరియు ruzo అప్పుడు ruki
  - నియమం niro: అయితే ruki మరియు ruzo అప్పుడు koto
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
What lemma that most shortens proof?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi ruzo tida
  - rule sosi: ruzo gate ruki
  - rule pedo: gogi toki pedi
  - rule dani: toki gate pedi
  - rule nope: pedi gate ruzo
  - rule viri: gate ruzo ruki
  - rule niro: ruki ruzo koto
Lemma that most shortens the proof what?

axioms: fact gate; fact toki; fact gogi.
candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
goal: koto.
rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 lemma tida; k1 lemma ruki; k2 lemma ruzo; k3 lemma pedi.
Goal: koto.
Rules:
  - rule povi: tida pedi ruzo
  - rule sosi: ruki ruzo gate
  - rule pedo: pedi gogi toki
  - rule dani: pedi toki gate
  - rule nope: ruzo pedi gate
  - rule viri: ruki gate ruzo
  - rule niro: koto ruki ruzo
Lemma that most shortens proof what?

Axioms: fact gate; fact toki; fact gogi.
Candidates: k0 tida lemma; k1 ruki lemma; k2 ruzo lemma; k3 pedi lemma.
Goal: koto.
Rules:
  - rule povi: pedi ruzo tida
  - rule sosi: ruzo gate ruki
  - rule pedo: gogi toki pedi
  - rule dani: toki gate pedi
  - rule nope: pedi gate ruzo
  - rule viri: gate ruzo ruki
  - rule niro: ruki ruzo koto
Lemma that most shortens proof вуч?

The axioms are: fact podo; fact vuko; fact seze.
The candidates are: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
The goal is ribu.
The rules are:
  - rule mete: ribu if tibe and gotu
  - rule vebu: tibe if seze and pebi
  - rule daku: tibe if pebi and podo
  - rule nito: gotu if tibe and podo
  - rule goge: dage if tibe and gotu
  - rule nipa: pebi if seze and vuko
  - rule guru: dage if pebi and gotu
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: podo; el hecho: vuko; el hecho: seze.
Los candidatos son: k0 el lema pebi; k1 el lema gotu; k2 el lema tibe; k3 el lema dage.
El objetivo es ribu.
Las reglas son:
  - regla mete: ribu si tibe y gotu
  - regla vebu: tibe si seze y pebi
  - regla daku: tibe si pebi y podo
  - regla nito: gotu si tibe y podo
  - regla goge: dage si tibe y gotu
  - regla nipa: pebi si seze y vuko
  - regla guru: dage si pebi y gotu
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：podo；事实：vuko；事实：seze。
候选项如下：k0的引理是pebi；k1的引理是gotu；k2的引理是tibe；k3的引理是dage。
目标是ribu。
规则如下：
  - 规则mete：若tibe和gotu则ribu
  - 规则vebu：若seze和pebi则tibe
  - 规则daku：若pebi和podo则tibe
  - 规则nito：若tibe和podo则gotu
  - 规则goge：若tibe和gotu则dage
  - 规则nipa：若seze和vuko则pebi
  - 规则guru：若pebi和gotu则dage
的引理是that大多数shortens这证明什么？

Belitler: olgu: podo; olgu: vuko; olgu: seze.
Adaylar: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Hedef ribu.
Kurallar:
  - kural mete: eğer tibe ve gotu ise ribu
  - kural vebu: eğer seze ve pebi ise tibe
  - kural daku: eğer pebi ve podo ise tibe
  - kural nito: eğer tibe ve podo ise gotu
  - kural goge: eğer tibe ve gotu ise dage
  - kural nipa: eğer seze ve vuko ise pebi
  - kural guru: eğer pebi ve gotu ise dage
Lemma that çoğu shortens ispat ne?

Axioms: fact: podo; fact: vuko; fact: seze.
Wagombea ni: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Lengo ni ribu.
Sheria ni:
  - kanuni mete: kama tibe na gotu basi ribu
  - kanuni vebu: kama seze na pebi basi tibe
  - kanuni daku: kama pebi na podo basi tibe
  - kanuni nito: kama tibe na podo basi gotu
  - kanuni goge: kama tibe na gotu basi dage
  - kanuni nipa: kama seze na vuko basi pebi
  - kanuni guru: kama pebi na gotu basi dage
Lemma that wengi shortens proof nini?

The axioms are: fact podo; fact vuko; fact seze.
The candidates are: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
The goal is ribu.
The rules are:
  - rule mete: ribu if tibe and gotu
  - rule vebu: tibe if seze and pebi
  - rule daku: tibe if pebi and podo
  - rule nito: gotu if tibe and podo
  - rule goge: dage if tibe and gotu
  - rule nipa: pebi if seze and vuko
  - rule guru: dage if pebi and gotu
What is the lemma that most shortens the proof?

{axioms: [(fact podo) (fact vuko) (fact seze)], candidates: [(lemma k0 pebi) (lemma k1 gotu) (lemma k2 tibe) (lemma k3 dage)], goal: ribu, query: lemma_that_most_shortens_the_proof, rules: [(rule mete ribu [tibe gotu]) (rule vebu tibe [seze pebi]) (rule daku tibe [pebi podo]) (rule nito gotu [tibe podo]) (rule goge dage [tibe gotu]) (rule nipa pebi [seze vuko]) (rule guru dage [pebi gotu])]}

Axiome: Tatsache podo; Tatsache vuko; Tatsache seze.
Die Kandidaten sind: k0 Lemma pebi; k1 Lemma gotu; k2 Lemma tibe; k3 Lemma dage.
Ziel: ribu.
Die Regeln sind:
  - Regel mete: ribu wenn tibe und gotu
  - Regel vebu: tibe wenn seze und pebi
  - Regel daku: tibe wenn pebi und podo
  - Regel nito: gotu wenn tibe und podo
  - Regel goge: dage wenn tibe und gotu
  - Regel nipa: pebi wenn seze und vuko
  - Regel guru: dage wenn pebi und gotu
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница podo; чи̏њеница vuko; чи̏њеница seze.
Кандѝда̄т: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Ци̑љ: ribu.
Пра̏вило:
  - пра̏вило mete: ribu ȁko tibe и gotu
  - пра̏вило vebu: tibe ȁko seze и pebi
  - пра̏вило daku: tibe ȁko pebi и podo
  - пра̏вило nito: gotu ȁko tibe и podo
  - пра̏вило goge: dage ȁko tibe и gotu
  - пра̏вило nipa: pebi ȁko seze и vuko
  - пра̏вило guru: dage ȁko pebi и gotu
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia podo; tosiasia vuko; tosiasia seze.
Ehdokkaat: k0 perusmuoto pebi; k1 perusmuoto gotu; k2 perusmuoto tibe; k3 perusmuoto dage.
Päämäärä: ribu.
Säännöt:
  - sääntö mete: ribu jos tibe ja gotu
  - sääntö vebu: tibe jos seze ja pebi
  - sääntö daku: tibe jos pebi ja podo
  - sääntö nito: gotu jos tibe ja podo
  - sääntö goge: dage jos tibe ja gotu
  - sääntö nipa: pebi jos seze ja vuko
  - sääntö guru: dage jos pebi ja gotu
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：podo；事实：vuko；事实：seze。
候选项如下：k0的引理是pebi；k1的引理是gotu；k2的引理是tibe；k3的引理是dage。
目标是ribu。
规则如下：
  - 规则mete：若tibe和gotu则ribu
  - 规则vebu：若seze和pebi则tibe
  - 规则daku：若pebi和podo则tibe
  - 规则nito：若tibe和podo则gotu
  - 规则goge：若tibe和gotu则dage
  - 规则nipa：若seze和vuko则pebi
  - 规则guru：若pebi和gotu则dage
的引理是that大多数shortens这证明什么？

公理:事実:podo; 事実:vuko; 事実:seze.
候補者:k0pebiレンマ; k1gotuレンマ; k2tibeレンマ; k3dageレンマ.
目標:ribu.
規則:
  - 規則mete:もし...tibeとgotuそれからribu
  - 規則vebu:もし...sezeとpebiそれからtibe
  - 規則daku:もし...pebiとpodoそれからtibe
  - 規則nito:もし...tibeとpodoそれからgotu
  - 規則goge:もし...tibeとgotuそれからdage
  - 規則nipa:もし...sezeとvukoそれからpebi
  - 規則guru:もし...pebiとgotuそれからdage
レンマその大部分shortens証拠何と?

Belitler: olgu: podo; olgu: vuko; olgu: seze.
Adaylar: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Hedef ribu.
Kurallar:
  - kural mete: eğer tibe ve gotu ise ribu
  - kural vebu: eğer seze ve pebi ise tibe
  - kural daku: eğer pebi ve podo ise tibe
  - kural nito: eğer tibe ve podo ise gotu
  - kural goge: eğer tibe ve gotu ise dage
  - kural nipa: eğer seze ve vuko ise pebi
  - kural guru: eğer pebi ve gotu ise dage
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة podo؛ مَعْلُومَة vuko؛ مَعْلُومَة seze.
مُرَشَّح: سُدَّة k0 pebi؛ سُدَّة k1 gotu؛ سُدَّة k2 tibe؛ سُدَّة k3 dage.
هَدَف: ribu.
قَانُون:
  - قَانُون mete: ribu إِنْ tibe وَـ gotu
  - قَانُون vebu: tibe إِنْ seze وَـ pebi
  - قَانُون daku: tibe إِنْ pebi وَـ podo
  - قَانُون nito: gotu إِنْ tibe وَـ podo
  - قَانُون goge: dage إِنْ tibe وَـ gotu
  - قَانُون nipa: pebi إِنْ seze وَـ vuko
  - قَانُون guru: dage إِنْ pebi وَـ gotu
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი podo; ფაქტი vuko; ფაქტი seze.
Კანდიდატები: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Მიზანი: ribu.
Წესი:
  - წესი mete: თუ tibe და gotu მერე ribu
  - წესი vebu: თუ seze და pebi მერე tibe
  - წესი daku: თუ pebi და podo მერე tibe
  - წესი nito: თუ tibe და podo მერე gotu
  - წესი goge: თუ tibe და gotu მერე dage
  - წესი nipa: თუ seze და vuko მერე pebi
  - წესი guru: თუ pebi და gotu მერე dage
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka podo; meka vuko; meka seze.
Kaiwhakauru: lemma k0 pebi; lemma k1 gotu; lemma k2 tibe; lemma k3 dage.
Hemonga: ribu.
Rekureihana:
  - rekureihana mete: ribu mēnā tibe me gotu
  - rekureihana vebu: tibe mēnā seze me pebi
  - rekureihana daku: tibe mēnā pebi me podo
  - rekureihana nito: gotu mēnā tibe me podo
  - rekureihana goge: dage mēnā tibe me gotu
  - rekureihana nipa: pebi mēnā seze me vuko
  - rekureihana guru: dage mēnā pebi me gotu
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật podo; sự thật vuko; sự thật seze.
Candidates: k0 mục từ pebi; k1 mục từ gotu; k2 mục từ tibe; k3 mục từ dage.
Mục tiêu: ribu.
Quy tắc:
  - rule mete: ribu nếu tibe và gotu
  - rule vebu: tibe nếu seze và pebi
  - rule daku: tibe nếu pebi và podo
  - rule nito: gotu nếu tibe và podo
  - rule goge: dage nếu tibe và gotu
  - rule nipa: pebi nếu seze và vuko
  - rule guru: dage nếu pebi và gotu
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:podo; ข้อเท็จจริง:vuko; ข้อเท็จจริง:seze.
ผู้สมัคร:k0lemmapebi; k1lemmagotu; k2lemmatibe; k3lemmadage.
เป้าหมาย:ribu.
กฎ:
  - กฎmete:ributibeและgotu
  - กฎvebu:tibesezeและpebi
  - กฎdaku:tibepebiและpodo
  - กฎnito:gotutibeและpodo
  - กฎgoge:dagetibeและgotu
  - กฎnipa:pebisezeและvuko
  - กฎguru:dagepebiและgotu
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact podo; fact vuko; fact seze.
வேட்பாளர்: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
goal: ribu.
rules:
  - ஆள் mete: என்றால் tibe மற்றும் gotu ribu
  - ஆள் vebu: என்றால் seze மற்றும் pebi tibe
  - ஆள் daku: என்றால் pebi மற்றும் podo tibe
  - ஆள் nito: என்றால் tibe மற்றும் podo gotu
  - ஆள் goge: என்றால் tibe மற்றும் gotu dage
  - ஆள் nipa: என்றால் seze மற்றும் vuko pebi
  - ஆள் guru: என்றால் pebi மற்றும் gotu dage
lemma எப்படி most shortens proof என்ன?

Axioms: fact: podo; fact: vuko; fact: seze.
Wagombea ni: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Lengo ni ribu.
Sheria ni:
  - kanuni mete: kama tibe na gotu basi ribu
  - kanuni vebu: kama seze na pebi basi tibe
  - kanuni daku: kama pebi na podo basi tibe
  - kanuni nito: kama tibe na podo basi gotu
  - kanuni goge: kama tibe na gotu basi dage
  - kanuni nipa: kama seze na vuko basi pebi
  - kanuni guru: kama pebi na gotu basi dage
Lemma that wengi shortens proof nini?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Bee hazʼáanii:
  - rule mete: ládą́ą́ʼ tibe dóó gotu índa ribu
  - rule vebu: ládą́ą́ʼ seze dóó pebi índa tibe
  - rule daku: ládą́ą́ʼ pebi dóó podo índa tibe
  - rule nito: ládą́ą́ʼ tibe dóó podo índa gotu
  - rule goge: ládą́ą́ʼ tibe dóó gotu índa dage
  - rule nipa: ládą́ą́ʼ seze dóó vuko índa pebi
  - rule guru: ládą́ą́ʼ pebi dóó gotu índa dage
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe aamma gotu ribu
  - rule vebu: seze aamma pebi tibe
  - rule daku: pebi aamma podo tibe
  - rule nito: tibe aamma podo gotu
  - rule goge: tibe aamma gotu dage
  - rule nipa: seze aamma vuko pebi
  - rule guru: pebi aamma gotu dage
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu sapos tibe na gotu
  - rule vebu: tibe sapos seze na pebi
  - rule daku: tibe sapos pebi na podo
  - rule nito: gotu sapos tibe na podo
  - rule goge: dage sapos tibe na gotu
  - rule nipa: pebi sapos seze na vuko
  - rule guru: dage sapos pebi na gotu
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Nikanixi:
  - nikanixi mete: ribu tibe gotu
  - nikanixi vebu: tibe seze pebi
  - nikanixi daku: tibe pebi podo
  - nikanixi nito: gotu tibe podo
  - nikanixi goge: dage tibe gotu
  - nikanixi nipa: pebi seze vuko
  - nikanixi guru: dage pebi gotu
Lemma that most shortens proof kwèch?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe а gotu
  - rule vebu: tibe seze а pebi
  - rule daku: tibe pebi а podo
  - rule nito: gotu tibe а podo
  - rule goge: dage tibe а gotu
  - rule nipa: pebi seze а vuko
  - rule guru: dage pebi а gotu
Lemma that most shortens proof фу?

공리: 사실 podo; 사실 vuko; 사실 seze.
후보자: k0 pebi 올림말; k1 gotu 올림말; k2 tibe 올림말; k3 dage 올림말.
목표: ribu.
규칙:
  - 규칙 mete: 만약 tibe gotu 나중에 ribu
  - 규칙 vebu: 만약 seze pebi 나중에 tibe
  - 규칙 daku: 만약 pebi podo 나중에 tibe
  - 규칙 nito: 만약 tibe podo 나중에 gotu
  - 규칙 goge: 만약 tibe gotu 나중에 dage
  - 규칙 nipa: 만약 seze vuko 나중에 pebi
  - 규칙 guru: 만약 pebi gotu 나중에 dage
올림말 그 가장 shortens 증거 무엇?

Axioms: fact podo; fact vuko; fact seze.
Kandidatu: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Helburu: ribu.
Arau:
  - arau mete: tibe eta gotu ribu
  - arau vebu: seze eta pebi tibe
  - arau daku: pebi eta podo tibe
  - arau nito: tibe eta podo gotu
  - arau goge: tibe eta gotu dage
  - arau nipa: seze eta vuko pebi
  - arau guru: pebi eta gotu dage
Lemma hura most shortens the proof zer?

Axioms: fact podo; fact vuko; fact seze.
ᎠᏙᎩᏯᏍᎩ: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe ᎠᎴ gotu
  - rule vebu: tibe seze ᎠᎴ pebi
  - rule daku: tibe pebi ᎠᎴ podo
  - rule nito: gotu tibe ᎠᎴ podo
  - rule goge: dage tibe ᎠᎴ gotu
  - rule nipa: pebi seze ᎠᎴ vuko
  - rule guru: dage pebi ᎠᎴ gotu
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma chay most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe ыкӏи gotu ribu
  - rule vebu: seze ыкӏи pebi tibe
  - rule daku: pebi ыкӏи podo tibe
  - rule nito: tibe ыкӏи podo gotu
  - rule goge: tibe ыкӏи gotu dage
  - rule nipa: seze ыкӏи vuko pebi
  - rule guru: pebi ыкӏи gotu dage
Lemma that most shortens the proof сыд?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Cai:
  - cai mete: ribu tibe thiab gotu
  - cai vebu: tibe seze thiab pebi
  - cai daku: tibe pebi thiab podo
  - cai nito: gotu tibe thiab podo
  - cai goge: dage tibe thiab gotu
  - cai nipa: pebi seze thiab vuko
  - cai guru: dage pebi thiab gotu
Lemma qhov ntawd most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma that most shortens proof ining-jak?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe micha' gotu
  - rule vebu: tibe seze micha' pebi
  - rule daku: tibe pebi micha' podo
  - rule nito: gotu tibe micha' podo
  - rule goge: dage tibe micha' gotu
  - rule nipa: pebi seze micha' vuko
  - rule guru: dage pebi micha' gotu
Lemma that most shortens proof nanta?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe カ gotu ribu
  - rule vebu: seze カ pebi tibe
  - rule daku: pebi カ podo tibe
  - rule nito: tibe カ podo gotu
  - rule goge: tibe カ gotu dage
  - rule nipa: seze カ vuko pebi
  - rule guru: pebi カ gotu dage
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu эвыр tibe ынкъам gotu
  - rule vebu: tibe эвыр seze ынкъам pebi
  - rule daku: tibe эвыр pebi ынкъам podo
  - rule nito: gotu эвыр tibe ынкъам podo
  - rule goge: dage эвыр tibe ынкъам gotu
  - rule nipa: pebi эвыр seze ынкъам vuko
  - rule guru: dage эвыр pebi ынкъам gotu
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu wa tibe yéetel gotu
  - rule vebu: tibe wa seze yéetel pebi
  - rule daku: tibe wa pebi yéetel podo
  - rule nito: gotu wa tibe yéetel podo
  - rule goge: dage wa tibe yéetel gotu
  - rule nipa: pebi wa seze yéetel vuko
  - rule guru: dage wa pebi yéetel gotu
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma that most shortens proof híli?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe na gotu ribu
  - rule vebu: seze na pebi tibe
  - rule daku: pebi na podo tibe
  - rule nito: tibe na podo gotu
  - rule goge: tibe na gotu dage
  - rule nipa: seze na vuko pebi
  - rule guru: pebi na gotu dage
Lemma that most shortens the proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma that most shortens the proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe gotu ribu
  - rule vebu: seze pebi tibe
  - rule daku: pebi podo tibe
  - rule nito: tibe podo gotu
  - rule goge: tibe gotu dage
  - rule nipa: seze vuko pebi
  - rule guru: pebi gotu dage
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe ǂʻá gotu
  - rule vebu: tibe seze ǂʻá pebi
  - rule daku: tibe pebi ǂʻá podo
  - rule nito: gotu tibe ǂʻá podo
  - rule goge: dage tibe ǂʻá gotu
  - rule nipa: pebi seze ǂʻá vuko
  - rule guru: dage pebi ǂʻá gotu
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe gotu ribu
  - rule vebu: seze pebi tibe
  - rule daku: pebi podo tibe
  - rule nito: tibe podo gotu
  - rule goge: tibe gotu dage
  - rule nipa: seze vuko pebi
  - rule guru: pebi gotu dage
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe gotu ribu
  - rule vebu: seze pebi tibe
  - rule daku: pebi podo tibe
  - rule nito: tibe podo gotu
  - rule goge: tibe gotu dage
  - rule nipa: seze vuko pebi
  - rule guru: pebi gotu dage
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma that most shortens the proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma that most shortens ne proof tay?

Axiomes : fait podo ; fait vuko ; fait seze.
Les candidats sont : k0 lemme pebi ; k1 lemme gotu ; k2 lemme tibe ; k3 lemme dage.
Objectif : ribu.
Les règles sont:
  - règle mete: ribu si tibe et gotu
  - règle vebu: tibe si seze et pebi
  - règle daku: tibe si pebi et podo
  - règle nito: gotu si tibe et podo
  - règle goge: dage si tibe et gotu
  - règle nipa: pebi si seze et vuko
  - règle guru: dage si pebi et gotu
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto podo; fakto vuko; fakto seze.
Kandidato: k0 lemo pebi; k1 lemo gotu; k2 lemo tibe; k3 lemo dage.
Celo: ribu.
Regulo:
  - regulo mete: ribu se tibe kaj gotu
  - regulo vebu: tibe se seze kaj pebi
  - regulo daku: tibe se pebi kaj podo
  - regulo nito: gotu se tibe kaj podo
  - regulo goge: dage se tibe kaj gotu
  - regulo nipa: pebi se seze kaj vuko
  - regulo guru: dage se pebi kaj gotu
Lemo ke plej shortens pruvo kio?

Axiómák: tény podo; tény vuko; tény seze.
Indulók: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Cél: ribu.
Szabályok:
  - szabály mete: ribu ha tibe és gotu
  - szabály vebu: tibe ha seze és pebi
  - szabály daku: tibe ha pebi és podo
  - szabály nito: gotu ha tibe és podo
  - szabály goge: dage ha tibe és gotu
  - szabály nipa: pebi ha seze és vuko
  - szabály guru: dage ha pebi és gotu
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:podo; 事實:vuko; 事實:seze.
候選人:k0lemmapebi; k1lemmagotu; k2lemmatibe; k3lemmadage.
入波:ribu.
rules:
  - rulemete:ribu要是tibe及gotu
  - rulevebu:tibe要是seze及pebi
  - ruledaku:tibe要是pebi及podo
  - rulenito:gotu要是tibe及podo
  - rulegoge:dage要是tibe及gotu
  - rulenipa:pebi要是seze及vuko
  - ruleguru:dage要是pebi及gotu
lemma嘅多數shortensproof乜嘢?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe とぅ gotu
  - rule vebu: tibe seze とぅ pebi
  - rule daku: tibe pebi とぅ podo
  - rule nito: gotu tibe とぅ podo
  - rule goge: dage tibe とぅ gotu
  - rule nipa: pebi seze とぅ vuko
  - rule guru: dage pebi とぅ gotu
Lemma that most shortens proof what?

Аксиома: факт podo; факт vuko; факт seze.
Үміткер: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Мақсат: ribu.
Ереже:
  - ереже mete: ribu егер tibe және gotu
  - ереже vebu: tibe егер seze және pebi
  - ереже daku: tibe егер pebi және podo
  - ереже nito: gotu егер tibe және podo
  - ереже goge: dage егер tibe және gotu
  - ереже nipa: pebi егер seze және vuko
  - ереже guru: dage егер pebi және gotu
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה podo; עובדה vuko; עובדה seze.
מועמדת: k0 למה pebi; k1 למה gotu; k2 למה tibe; k3 למה dage.
מַטָּרָה: ribu.
מָשַׁל:
  - מָשַׁל mete: ribu אִם tibe וְ־ gotu
  - מָשַׁל vebu: tibe אִם seze וְ־ pebi
  - מָשַׁל daku: tibe אִם pebi וְ־ podo
  - מָשַׁל nito: gotu אִם tibe וְ־ podo
  - מָשַׁל goge: dage אִם tibe וְ־ gotu
  - מָשַׁל nipa: pebi אִם seze וְ־ vuko
  - מָשַׁל guru: dage אִם pebi וְ־ gotu
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe დო gotu
  - rule vebu: tibe seze დო pebi
  - rule daku: tibe pebi დო podo
  - rule nito: gotu tibe დო podo
  - rule goge: dage tibe დო gotu
  - rule nipa: pebi seze დო vuko
  - rule guru: dage pebi დო gotu
Lemma that most shortens proof what?

Aksioma-aksioma: fact podo; fact vuko; fact seze.
Kandidat: k0 lema pebi; k1 lema gotu; k2 lema tibe; k3 lema dage.
Tujuan: ribu.
Rules:
  - rule mete: ribu jika tibe dan gotu
  - rule vebu: tibe jika seze dan pebi
  - rule daku: tibe jika pebi dan podo
  - rule nito: gotu jika tibe dan podo
  - rule goge: dage jika tibe dan gotu
  - rule nipa: pebi jika seze dan vuko
  - rule guru: dage jika pebi dan gotu
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:podo; fact:vuko; fact:seze.
បេក្ខជន:k0lemmapebi; k1lemmagotu; k2lemmatibe; k3lemmadage.
ទិស:ribu.
ក្បួន:
  - ក្បួនmete:ribuបើtibeនឹងgotu
  - ក្បួនvebu:tibeបើsezeនឹងpebi
  - ក្បួនdaku:tibeបើpebiនឹងpodo
  - ក្បួនnito:gotuបើtibeនឹងpodo
  - ក្បួនgoge:dageបើtibeនឹងgotu
  - ក្បួនnipa:pebiបើsezeនឹងvuko
  - ក្បួនguru:dageបើpebiនឹងgotu
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:podo; fact:vuko; fact:seze.
ຜູ້ສະໝັກ:k0lemmapebi; k1lemmagotu; k2lemmatibe; k3lemmadage.
ເປົ້າໝາຍ:ribu.
ກະຕິກາ:
  - ກະຕິກາmete:ribuຖ້າtibeແລະgotu
  - ກະຕິກາvebu:tibeຖ້າsezeແລະpebi
  - ກະຕິກາdaku:tibeຖ້າpebiແລະpodo
  - ກະຕິກາnito:gotuຖ້າtibeແລະpodo
  - ກະຕິກາgoge:dageຖ້າtibeແລະgotu
  - ກະຕິກາnipa:pebiຖ້າsezeແລະvuko
  - ກະຕິກາguru:dageຖ້າpebiແລະgotu
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి podo; నిజానికి vuko; నిజానికి seze.
candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
లక్ష్యం: ribu.
నియమం:
  - నియమం mete: అయితే tibe మరియు gotu అప్పుడు ribu
  - నియమం vebu: అయితే seze మరియు pebi అప్పుడు tibe
  - నియమం daku: అయితే pebi మరియు podo అప్పుడు tibe
  - నియమం nito: అయితే tibe మరియు podo అప్పుడు gotu
  - నియమం goge: అయితే tibe మరియు gotu అప్పుడు dage
  - నియమం nipa: అయితే seze మరియు vuko అప్పుడు pebi
  - నియమం guru: అయితే pebi మరియు gotu అప్పుడు dage
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
What lemma that most shortens proof?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe gotu ribu
  - rule vebu: seze pebi tibe
  - rule daku: pebi podo tibe
  - rule nito: tibe podo gotu
  - rule goge: tibe gotu dage
  - rule nipa: seze vuko pebi
  - rule guru: pebi gotu dage
Lemma that most shortens the proof what?

axioms: fact podo; fact vuko; fact seze.
candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
goal: ribu.
rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 lemma pebi; k1 lemma gotu; k2 lemma tibe; k3 lemma dage.
Goal: ribu.
Rules:
  - rule mete: ribu tibe gotu
  - rule vebu: tibe seze pebi
  - rule daku: tibe pebi podo
  - rule nito: gotu tibe podo
  - rule goge: dage tibe gotu
  - rule nipa: pebi seze vuko
  - rule guru: dage pebi gotu
Lemma that most shortens proof what?

Axioms: fact podo; fact vuko; fact seze.
Candidates: k0 pebi lemma; k1 gotu lemma; k2 tibe lemma; k3 dage lemma.
Goal: ribu.
Rules:
  - rule mete: tibe gotu ribu
  - rule vebu: seze pebi tibe
  - rule daku: pebi podo tibe
  - rule nito: tibe podo gotu
  - rule goge: tibe gotu dage
  - rule nipa: seze vuko pebi
  - rule guru: pebi gotu dage
Lemma that most shortens proof вуч?

The axioms are: fact taso; fact piri; fact neni.
The candidates are: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
The goal is gebu.
The rules are:
  - rule moze: gebu if neke and tami
  - rule nuse: keru if neni and rozo
  - rule sori: gebu if tami
  - rule bivi: neke if keru and rozo
  - rule beta: rozo if taso and neni
  - rule vaku: tami if neke and rozo
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: taso; el hecho: piri; el hecho: neni.
Los candidatos son: k0 el lema rozo; k1 el lema keru; k2 el lema neke; k3 el lema tami.
El objetivo es gebu.
Las reglas son:
  - regla moze: gebu si neke y tami
  - regla nuse: keru si neni y rozo
  - regla sori: gebu si tami
  - regla bivi: neke si keru y rozo
  - regla beta: rozo si taso y neni
  - regla vaku: tami si neke y rozo
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：taso；事实：piri；事实：neni。
候选项如下：k0的引理是rozo；k1的引理是keru；k2的引理是neke；k3的引理是tami。
目标是gebu。
规则如下：
  - 规则moze：若neke和tami则gebu
  - 规则nuse：若neni和rozo则keru
  - 规则sori：若tami则gebu
  - 规则bivi：若keru和rozo则neke
  - 规则贝塔：若taso和neni则rozo
  - 规则vaku：若neke和rozo则tami
的引理是that大多数shortens这证明什么？

Belitler: olgu: taso; olgu: piri; olgu: neni.
Adaylar: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Hedef gebu.
Kurallar:
  - kural moze: eğer neke ve tami ise gebu
  - kural nuse: eğer neni ve rozo ise keru
  - kural sori: eğer tami ise gebu
  - kural bivi: eğer keru ve rozo ise neke
  - kural beta: eğer taso ve neni ise rozo
  - kural vaku: eğer neke ve rozo ise tami
Lemma that çoğu shortens ispat ne?

Axioms: fact: taso; fact: piri; fact: neni.
Wagombea ni: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Lengo ni gebu.
Sheria ni:
  - kanuni moze: kama neke na tami basi gebu
  - kanuni nuse: kama neni na rozo basi keru
  - kanuni sori: kama tami basi gebu
  - kanuni bivi: kama keru na rozo basi neke
  - kanuni beta: kama taso na neni basi rozo
  - kanuni vaku: kama neke na rozo basi tami
Lemma that wengi shortens proof nini?

The axioms are: fact taso; fact piri; fact neni.
The candidates are: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
The goal is gebu.
The rules are:
  - rule moze: gebu if neke and tami
  - rule nuse: keru if neni and rozo
  - rule sori: gebu if tami
  - rule bivi: neke if keru and rozo
  - rule beta: rozo if taso and neni
  - rule vaku: tami if neke and rozo
What is the lemma that most shortens the proof?

{axioms: [(fact taso) (fact piri) (fact neni)], candidates: [(lemma k0 rozo) (lemma k1 keru) (lemma k2 neke) (lemma k3 tami)], goal: gebu, query: lemma_that_most_shortens_the_proof, rules: [(rule moze gebu [neke tami]) (rule nuse keru [neni rozo]) (rule sori gebu [tami]) (rule bivi neke [keru rozo]) (rule beta rozo [taso neni]) (rule vaku tami [neke rozo])]}

Axiome: Tatsache taso; Tatsache piri; Tatsache neni.
Die Kandidaten sind: k0 Lemma rozo; k1 Lemma keru; k2 Lemma neke; k3 Lemma tami.
Ziel: gebu.
Die Regeln sind:
  - Regel moze: gebu wenn neke und tami
  - Regel nuse: keru wenn neni und rozo
  - Regel sori: gebu wenn tami
  - Regel bivi: neke wenn keru und rozo
  - Regel beta: rozo wenn taso und neni
  - Regel vaku: tami wenn neke und rozo
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница taso; чи̏њеница piri; чи̏њеница neni.
Кандѝда̄т: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Ци̑љ: gebu.
Пра̏вило:
  - пра̏вило moze: gebu ȁko neke и tami
  - пра̏вило nuse: keru ȁko neni и rozo
  - пра̏вило sori: gebu ȁko tami
  - пра̏вило bivi: neke ȁko keru и rozo
  - пра̏вило beta: rozo ȁko taso и neni
  - пра̏вило vaku: tami ȁko neke и rozo
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia taso; tosiasia piri; tosiasia neni.
Ehdokkaat: k0 perusmuoto rozo; k1 perusmuoto keru; k2 perusmuoto neke; k3 perusmuoto tami.
Päämäärä: gebu.
Säännöt:
  - sääntö moze: gebu jos neke ja tami
  - sääntö nuse: keru jos neni ja rozo
  - sääntö sori: gebu jos tami
  - sääntö bivi: neke jos keru ja rozo
  - sääntö beeta: rozo jos taso ja neni
  - sääntö vaku: tami jos neke ja rozo
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：taso；事实：piri；事实：neni。
候选项如下：k0的引理是rozo；k1的引理是keru；k2的引理是neke；k3的引理是tami。
目标是gebu。
规则如下：
  - 规则moze：若neke和tami则gebu
  - 规则nuse：若neni和rozo则keru
  - 规则sori：若tami则gebu
  - 规则bivi：若keru和rozo则neke
  - 规则贝塔：若taso和neni则rozo
  - 规则vaku：若neke和rozo则tami
的引理是that大多数shortens这证明什么？

公理:事実:taso; 事実:piri; 事実:neni.
候補者:k0rozoレンマ; k1keruレンマ; k2nekeレンマ; k3tamiレンマ.
目標:gebu.
規則:
  - 規則moze:もし...nekeとtamiそれからgebu
  - 規則nuse:もし...neniとrozoそれからkeru
  - 規則sori:もし...tamiそれからgebu
  - 規則bivi:もし...keruとrozoそれからneke
  - 規則ベータ:もし...tasoとneniそれからrozo
  - 規則vaku:もし...nekeとrozoそれからtami
レンマその大部分shortens証拠何と?

Belitler: olgu: taso; olgu: piri; olgu: neni.
Adaylar: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Hedef gebu.
Kurallar:
  - kural moze: eğer neke ve tami ise gebu
  - kural nuse: eğer neni ve rozo ise keru
  - kural sori: eğer tami ise gebu
  - kural bivi: eğer keru ve rozo ise neke
  - kural beta: eğer taso ve neni ise rozo
  - kural vaku: eğer neke ve rozo ise tami
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة taso؛ مَعْلُومَة piri؛ مَعْلُومَة neni.
مُرَشَّح: سُدَّة k0 rozo؛ سُدَّة k1 keru؛ سُدَّة k2 neke؛ سُدَّة k3 tami.
هَدَف: gebu.
قَانُون:
  - قَانُون moze: gebu إِنْ neke وَـ tami
  - قَانُون nuse: keru إِنْ neni وَـ rozo
  - قَانُون sori: gebu إِنْ tami
  - قَانُون bivi: neke إِنْ keru وَـ rozo
  - قَانُون بِيتَا: rozo إِنْ taso وَـ neni
  - قَانُون vaku: tami إِنْ neke وَـ rozo
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი taso; ფაქტი piri; ფაქტი neni.
Კანდიდატები: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Მიზანი: gebu.
Წესი:
  - წესი moze: თუ neke და tami მერე gebu
  - წესი nuse: თუ neni და rozo მერე keru
  - წესი sori: თუ tami მერე gebu
  - წესი bivi: თუ keru და rozo მერე neke
  - წესი ბეტა: თუ taso და neni მერე rozo
  - წესი vaku: თუ neke და rozo მერე tami
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka taso; meka piri; meka neni.
Kaiwhakauru: lemma k0 rozo; lemma k1 keru; lemma k2 neke; lemma k3 tami.
Hemonga: gebu.
Rekureihana:
  - rekureihana moze: gebu mēnā neke me tami
  - rekureihana nuse: keru mēnā neni me rozo
  - rekureihana sori: gebu mēnā tami
  - rekureihana bivi: neke mēnā keru me rozo
  - rekureihana peta: rozo mēnā taso me neni
  - rekureihana vaku: tami mēnā neke me rozo
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật taso; sự thật piri; sự thật neni.
Candidates: k0 mục từ rozo; k1 mục từ keru; k2 mục từ neke; k3 mục từ tami.
Mục tiêu: gebu.
Quy tắc:
  - rule moze: gebu nếu neke và tami
  - rule nuse: keru nếu neni và rozo
  - rule sori: gebu nếu tami
  - rule bivi: neke nếu keru và rozo
  - rule bêta: rozo nếu taso và neni
  - rule vaku: tami nếu neke và rozo
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:taso; ข้อเท็จจริง:piri; ข้อเท็จจริง:neni.
ผู้สมัคร:k0lemmarozo; k1lemmakeru; k2lemmaneke; k3lemmatami.
เป้าหมาย:gebu.
กฎ:
  - กฎmoze:gebunekeและtami
  - กฎnuse:keruneniและrozo
  - กฎsori:gebutami
  - กฎbivi:nekekeruและrozo
  - กฎบีตา:rozotasoและneni
  - กฎvaku:taminekeและrozo
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact taso; fact piri; fact neni.
வேட்பாளர்: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
goal: gebu.
rules:
  - ஆள் moze: என்றால் neke மற்றும் tami gebu
  - ஆள் nuse: என்றால் neni மற்றும் rozo keru
  - ஆள் sori: என்றால் tami gebu
  - ஆள் bivi: என்றால் keru மற்றும் rozo neke
  - ஆள் beta: என்றால் taso மற்றும் neni rozo
  - ஆள் vaku: என்றால் neke மற்றும் rozo tami
lemma எப்படி most shortens proof என்ன?

Axioms: fact: taso; fact: piri; fact: neni.
Wagombea ni: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Lengo ni gebu.
Sheria ni:
  - kanuni moze: kama neke na tami basi gebu
  - kanuni nuse: kama neni na rozo basi keru
  - kanuni sori: kama tami basi gebu
  - kanuni bivi: kama keru na rozo basi neke
  - kanuni beta: kama taso na neni basi rozo
  - kanuni vaku: kama neke na rozo basi tami
Lemma that wengi shortens proof nini?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Bee hazʼáanii:
  - rule moze: ládą́ą́ʼ neke dóó tami índa gebu
  - rule nuse: ládą́ą́ʼ neni dóó rozo índa keru
  - rule sori: ládą́ą́ʼ tami índa gebu
  - rule bivi: ládą́ą́ʼ keru dóó rozo índa neke
  - rule beta: ládą́ą́ʼ taso dóó neni índa rozo
  - rule vaku: ládą́ą́ʼ neke dóó rozo índa tami
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke aamma tami gebu
  - rule nuse: neni aamma rozo keru
  - rule sori: tami gebu
  - rule bivi: keru aamma rozo neke
  - rule beta: taso aamma neni rozo
  - rule vaku: neke aamma rozo tami
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu sapos neke na tami
  - rule nuse: keru sapos neni na rozo
  - rule sori: gebu sapos tami
  - rule bivi: neke sapos keru na rozo
  - rule beta: rozo sapos taso na neni
  - rule vaku: tami sapos neke na rozo
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Nikanixi:
  - nikanixi moze: gebu neke tami
  - nikanixi nuse: keru neni rozo
  - nikanixi sori: gebu tami
  - nikanixi bivi: neke keru rozo
  - nikanixi beta: rozo taso neni
  - nikanixi vaku: tami neke rozo
Lemma that most shortens proof kwèch?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke а tami
  - rule nuse: keru neni а rozo
  - rule sori: gebu tami
  - rule bivi: neke keru а rozo
  - rule beta: rozo taso а neni
  - rule vaku: tami neke а rozo
Lemma that most shortens proof фу?

공리: 사실 taso; 사실 piri; 사실 neni.
후보자: k0 rozo 올림말; k1 keru 올림말; k2 neke 올림말; k3 tami 올림말.
목표: gebu.
규칙:
  - 규칙 moze: 만약 neke tami 나중에 gebu
  - 규칙 nuse: 만약 neni rozo 나중에 keru
  - 규칙 sori: 만약 tami 나중에 gebu
  - 규칙 bivi: 만약 keru rozo 나중에 neke
  - 규칙 베타: 만약 taso neni 나중에 rozo
  - 규칙 vaku: 만약 neke rozo 나중에 tami
올림말 그 가장 shortens 증거 무엇?

Axioms: fact taso; fact piri; fact neni.
Kandidatu: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Helburu: gebu.
Arau:
  - arau moze: neke eta tami gebu
  - arau nuse: neni eta rozo keru
  - arau sori: tami gebu
  - arau bivi: keru eta rozo neke
  - arau beta: taso eta neni rozo
  - arau vaku: neke eta rozo tami
Lemma hura most shortens the proof zer?

Axioms: fact taso; fact piri; fact neni.
ᎠᏙᎩᏯᏍᎩ: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke ᎠᎴ tami
  - rule nuse: keru neni ᎠᎴ rozo
  - rule sori: gebu tami
  - rule bivi: neke keru ᎠᎴ rozo
  - rule beta: rozo taso ᎠᎴ neni
  - rule vaku: tami neke ᎠᎴ rozo
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma chay most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke ыкӏи tami gebu
  - rule nuse: neni ыкӏи rozo keru
  - rule sori: tami gebu
  - rule bivi: keru ыкӏи rozo neke
  - rule beta: taso ыкӏи neni rozo
  - rule vaku: neke ыкӏи rozo tami
Lemma that most shortens the proof сыд?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Cai:
  - cai moze: gebu neke thiab tami
  - cai nuse: keru neni thiab rozo
  - cai sori: gebu tami
  - cai bivi: neke keru thiab rozo
  - cai beta: rozo taso thiab neni
  - cai vaku: tami neke thiab rozo
Lemma qhov ntawd most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma that most shortens proof ining-jak?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke micha' tami
  - rule nuse: keru neni micha' rozo
  - rule sori: gebu tami
  - rule bivi: neke keru micha' rozo
  - rule beta: rozo taso micha' neni
  - rule vaku: tami neke micha' rozo
Lemma that most shortens proof nanta?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke カ tami gebu
  - rule nuse: neni カ rozo keru
  - rule sori: tami gebu
  - rule bivi: keru カ rozo neke
  - rule beta: taso カ neni rozo
  - rule vaku: neke カ rozo tami
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu эвыр neke ынкъам tami
  - rule nuse: keru эвыр neni ынкъам rozo
  - rule sori: gebu эвыр tami
  - rule bivi: neke эвыр keru ынкъам rozo
  - rule beta: rozo эвыр taso ынкъам neni
  - rule vaku: tami эвыр neke ынкъам rozo
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu wa neke yéetel tami
  - rule nuse: keru wa neni yéetel rozo
  - rule sori: gebu wa tami
  - rule bivi: neke wa keru yéetel rozo
  - rule beta: rozo wa taso yéetel neni
  - rule vaku: tami wa neke yéetel rozo
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma that most shortens proof híli?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke na tami gebu
  - rule nuse: neni na rozo keru
  - rule sori: tami gebu
  - rule bivi: keru na rozo neke
  - rule beta: taso na neni rozo
  - rule vaku: neke na rozo tami
Lemma that most shortens the proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma that most shortens the proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke tami gebu
  - rule nuse: neni rozo keru
  - rule sori: tami gebu
  - rule bivi: keru rozo neke
  - rule beta: taso neni rozo
  - rule vaku: neke rozo tami
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke ǂʻá tami
  - rule nuse: keru neni ǂʻá rozo
  - rule sori: gebu tami
  - rule bivi: neke keru ǂʻá rozo
  - rule beta: rozo taso ǂʻá neni
  - rule vaku: tami neke ǂʻá rozo
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke tami gebu
  - rule nuse: neni rozo keru
  - rule sori: tami gebu
  - rule bivi: keru rozo neke
  - rule beta: taso neni rozo
  - rule vaku: neke rozo tami
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke tami gebu
  - rule nuse: neni rozo keru
  - rule sori: tami gebu
  - rule bivi: keru rozo neke
  - rule beta: taso neni rozo
  - rule vaku: neke rozo tami
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma that most shortens the proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma that most shortens ne proof tay?

Axiomes : fait taso ; fait piri ; fait neni.
Les candidats sont : k0 lemme rozo ; k1 lemme keru ; k2 lemme neke ; k3 lemme tami.
Objectif : gebu.
Les règles sont:
  - règle moze: gebu si neke et tami
  - règle nuse: keru si neni et rozo
  - règle sori: gebu si tami
  - règle bivi: neke si keru et rozo
  - règle bêta: rozo si taso et neni
  - règle vaku: tami si neke et rozo
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto taso; fakto piri; fakto neni.
Kandidato: k0 lemo rozo; k1 lemo keru; k2 lemo neke; k3 lemo tami.
Celo: gebu.
Regulo:
  - regulo moze: gebu se neke kaj tami
  - regulo nuse: keru se neni kaj rozo
  - regulo sori: gebu se tami
  - regulo bivi: neke se keru kaj rozo
  - regulo beto: rozo se taso kaj neni
  - regulo vaku: tami se neke kaj rozo
Lemo ke plej shortens pruvo kio?

Axiómák: tény taso; tény piri; tény neni.
Indulók: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Cél: gebu.
Szabályok:
  - szabály moze: gebu ha neke és tami
  - szabály nuse: keru ha neni és rozo
  - szabály sori: gebu ha tami
  - szabály bivi: neke ha keru és rozo
  - szabály béta: rozo ha taso és neni
  - szabály vaku: tami ha neke és rozo
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:taso; 事實:piri; 事實:neni.
候選人:k0lemmarozo; k1lemmakeru; k2lemmaneke; k3lemmatami.
入波:gebu.
rules:
  - rulemoze:gebu要是neke及tami
  - rulenuse:keru要是neni及rozo
  - rulesori:gebu要是tami
  - rulebivi:neke要是keru及rozo
  - rule啤打:rozo要是taso及neni
  - rulevaku:tami要是neke及rozo
lemma嘅多數shortensproof乜嘢?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke とぅ tami
  - rule nuse: keru neni とぅ rozo
  - rule sori: gebu tami
  - rule bivi: neke keru とぅ rozo
  - rule beta: rozo taso とぅ neni
  - rule vaku: tami neke とぅ rozo
Lemma that most shortens proof what?

Аксиома: факт taso; факт piri; факт neni.
Үміткер: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Мақсат: gebu.
Ереже:
  - ереже moze: gebu егер neke және tami
  - ереже nuse: keru егер neni және rozo
  - ереже sori: gebu егер tami
  - ереже bivi: neke егер keru және rozo
  - ереже beta: rozo егер taso және neni
  - ереже vaku: tami егер neke және rozo
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה taso; עובדה piri; עובדה neni.
מועמדת: k0 למה rozo; k1 למה keru; k2 למה neke; k3 למה tami.
מַטָּרָה: gebu.
מָשַׁל:
  - מָשַׁל moze: gebu אִם neke וְ־ tami
  - מָשַׁל nuse: keru אִם neni וְ־ rozo
  - מָשַׁל sori: gebu אִם tami
  - מָשַׁל bivi: neke אִם keru וְ־ rozo
  - מָשַׁל בֵּיתָא: rozo אִם taso וְ־ neni
  - מָשַׁל vaku: tami אִם neke וְ־ rozo
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke დო tami
  - rule nuse: keru neni დო rozo
  - rule sori: gebu tami
  - rule bivi: neke keru დო rozo
  - rule beta: rozo taso დო neni
  - rule vaku: tami neke დო rozo
Lemma that most shortens proof what?

Aksioma-aksioma: fact taso; fact piri; fact neni.
Kandidat: k0 lema rozo; k1 lema keru; k2 lema neke; k3 lema tami.
Tujuan: gebu.
Rules:
  - rule moze: gebu jika neke dan tami
  - rule nuse: keru jika neni dan rozo
  - rule sori: gebu jika tami
  - rule bivi: neke jika keru dan rozo
  - rule beta: rozo jika taso dan neni
  - rule vaku: tami jika neke dan rozo
Lema bahwa most shortens si proof apa?

ស្វ័យសត្យ:fact:taso; fact:piri; fact:neni.
បេក្ខជន:k0lemmarozo; k1lemmakeru; k2lemmaneke; k3lemmatami.
ទិស:gebu.
ក្បួន:
  - ក្បួនmoze:gebuបើnekeនឹងtami
  - ក្បួនnuse:keruបើneniនឹងrozo
  - ក្បួនsori:gebuបើtami
  - ក្បួនbivi:nekeបើkeruនឹងrozo
  - ក្បួនbeta:rozoបើtasoនឹងneni
  - ក្បួនvaku:tamiបើnekeនឹងrozo
lemmaថាជាងគេshortenstheភស្តុតាងអី?

ກົດຄວາມຈິງ:fact:taso; fact:piri; fact:neni.
ຜູ້ສະໝັກ:k0lemmarozo; k1lemmakeru; k2lemmaneke; k3lemmatami.
ເປົ້າໝາຍ:gebu.
ກະຕິກາ:
  - ກະຕິກາmoze:gebuຖ້າnekeແລະtami
  - ກະຕິກາnuse:keruຖ້າneniແລະrozo
  - ກະຕິກາsori:gebuຖ້າtami
  - ກະຕິກາbivi:nekeຖ້າkeruແລະrozo
  - ກະຕິກາbeta:rozoຖ້າtasoແລະneni
  - ກະຕິກາvaku:tamiຖ້າnekeແລະrozo
lemmaນັ້ນ...ທີ່ສຸດshortensproofຫຍັງ?

axioms: నిజానికి taso; నిజానికి piri; నిజానికి neni.
candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
లక్ష్యం: gebu.
నియమం:
  - నియమం moze: అయితే neke మరియు tami అప్పుడు gebu
  - నియమం nuse: అయితే neni మరియు rozo అప్పుడు keru
  - నియమం sori: అయితే tami అప్పుడు gebu
  - నియమం bivi: అయితే keru మరియు rozo అప్పుడు neke
  - నియమం beta: అయితే taso మరియు neni అప్పుడు rozo
  - నియమం vaku: అయితే neke మరియు rozo అప్పుడు tami
lemma ఆ most shortens proof ఏమిటి?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
What lemma that most shortens proof?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke tami gebu
  - rule nuse: neni rozo keru
  - rule sori: tami gebu
  - rule bivi: keru rozo neke
  - rule beta: taso neni rozo
  - rule vaku: neke rozo tami
Lemma that most shortens the proof what?

axioms: fact taso; fact piri; fact neni.
candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
goal: gebu.
rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 lemma rozo; k1 lemma keru; k2 lemma neke; k3 lemma tami.
Goal: gebu.
Rules:
  - rule moze: gebu neke tami
  - rule nuse: keru neni rozo
  - rule sori: gebu tami
  - rule bivi: neke keru rozo
  - rule beta: rozo taso neni
  - rule vaku: tami neke rozo
Lemma that most shortens proof what?

Axioms: fact taso; fact piri; fact neni.
Candidates: k0 rozo lemma; k1 keru lemma; k2 neke lemma; k3 tami lemma.
Goal: gebu.
Rules:
  - rule moze: neke tami gebu
  - rule nuse: neni rozo keru
  - rule sori: tami gebu
  - rule bivi: keru rozo neke
  - rule beta: taso neni rozo
  - rule vaku: neke rozo tami
Lemma that most shortens proof вуч?

The axioms are: fact veve; fact mive; fact kega.
The candidates are: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
The goal is gine.
The rules are:
  - rule vizo: biga if sezi and bogu
  - rule vipi: bogu if sezi and kega
  - rule ruto: sezi if mive and veve
  - rule megu: gine if mozo and biga
  - rule rose: mozo if bogu
  - rule suze: mozo if bogu and biga
  - rule vanu: biga if sezi and kega
What is the lemma that most shortens the proof?

Los axiomas son: el hecho: veve; el hecho: mive; el hecho: kega.
Los candidatos son: k0 el lema sezi; k1 el lema mozo; k2 el lema biga; k3 el lema bogu.
El objetivo es gine.
Las reglas son:
  - regla vizo: biga si sezi y bogu
  - regla vipi: bogu si sezi y kega
  - regla ruto: sezi si mive y veve
  - regla megu: gine si mozo y biga
  - regla rosa: mozo si bogu
  - regla suze: mozo si bogu y biga
  - regla vanu: biga si sezi y kega
¿Qué el lema that la mayoría shortens el demostración?

公理如下：事实：veve；事实：mive；事实：kega。
候选项如下：k0的引理是sezi；k1的引理是mozo；k2的引理是biga；k3的引理是bogu。
目标是gine。
规则如下：
  - 规则vizo：若sezi和bogu则biga
  - 规则vipi：若sezi和kega则bogu
  - 规则ruto：若mive和veve则sezi
  - 规则megu：若mozo和biga则gine
  - 规则玫瑰：若bogu则mozo
  - 规则suze：若bogu和biga则mozo
  - 规则vanu：若sezi和kega则biga
的引理是that大多数shortens这证明什么？

Belitler: olgu: veve; olgu: mive; olgu: kega.
Adaylar: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Hedef gine.
Kurallar:
  - kural vizo: eğer sezi ve bogu ise biga
  - kural vipi: eğer sezi ve kega ise bogu
  - kural ruto: eğer mive ve veve ise sezi
  - kural megu: eğer mozo ve biga ise gine
  - kural gül: eğer bogu ise mozo
  - kural suze: eğer bogu ve biga ise mozo
  - kural vanu: eğer sezi ve kega ise biga
Lemma that çoğu shortens ispat ne?

Axioms: fact: veve; fact: mive; fact: kega.
Wagombea ni: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Lengo ni gine.
Sheria ni:
  - kanuni vizo: kama sezi na bogu basi biga
  - kanuni vipi: kama sezi na kega basi bogu
  - kanuni ruto: kama mive na veve basi sezi
  - kanuni megu: kama mozo na biga basi gine
  - kanuni waridi: kama bogu basi mozo
  - kanuni suze: kama bogu na biga basi mozo
  - kanuni vanu: kama sezi na kega basi biga
Lemma that wengi shortens proof nini?

The axioms are: fact veve; fact mive; fact kega.
The candidates are: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
The goal is gine.
The rules are:
  - rule vizo: biga if sezi and bogu
  - rule vipi: bogu if sezi and kega
  - rule ruto: sezi if mive and veve
  - rule megu: gine if mozo and biga
  - rule rose: mozo if bogu
  - rule suze: mozo if bogu and biga
  - rule vanu: biga if sezi and kega
What is the lemma that most shortens the proof?

{axioms: [(fact veve) (fact mive) (fact kega)], candidates: [(lemma k0 sezi) (lemma k1 mozo) (lemma k2 biga) (lemma k3 bogu)], goal: gine, query: lemma_that_most_shortens_the_proof, rules: [(rule vizo biga [sezi bogu]) (rule vipi bogu [sezi kega]) (rule ruto sezi [mive veve]) (rule megu gine [mozo biga]) (rule rose mozo [bogu]) (rule suze mozo [bogu biga]) (rule vanu biga [sezi kega])]}

Axiome: Tatsache veve; Tatsache mive; Tatsache kega.
Die Kandidaten sind: k0 Lemma sezi; k1 Lemma mozo; k2 Lemma biga; k3 Lemma bogu.
Ziel: gine.
Die Regeln sind:
  - Regel vizo: biga wenn sezi und bogu
  - Regel vipi: bogu wenn sezi und kega
  - Regel ruto: sezi wenn mive und veve
  - Regel megu: gine wenn mozo und biga
  - Regel Rose: mozo wenn bogu
  - Regel suze: mozo wenn bogu und biga
  - Regel vanu: biga wenn sezi und kega
Was Lemma dass die meisten shortens der Beweis?

Аксѝо̄м: чи̏њеница veve; чи̏њеница mive; чи̏њеница kega.
Кандѝда̄т: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Ци̑љ: gine.
Пра̏вило:
  - пра̏вило vizo: biga ȁko sezi и bogu
  - пра̏вило vipi: bogu ȁko sezi и kega
  - пра̏вило ruto: sezi ȁko mive и veve
  - пра̏вило megu: gine ȁko mozo и biga
  - пра̏вило ружа: mozo ȁko bogu
  - пра̏вило suze: mozo ȁko bogu и biga
  - пра̏вило vanu: biga ȁko sezi и kega
Lemma да većina shortens до̏ка̄з kakav?

Perusväitteet: tosiasia veve; tosiasia mive; tosiasia kega.
Ehdokkaat: k0 perusmuoto sezi; k1 perusmuoto mozo; k2 perusmuoto biga; k3 perusmuoto bogu.
Päämäärä: gine.
Säännöt:
  - sääntö vizo: biga jos sezi ja bogu
  - sääntö vipi: bogu jos sezi ja kega
  - sääntö ruto: sezi jos mive ja veve
  - sääntö megu: gine jos mozo ja biga
  - sääntö ruusu: mozo jos bogu
  - sääntö suze: mozo jos bogu ja biga
  - sääntö vanu: biga jos sezi ja kega
Mikä perusmuoto että useimmat shortens proof?

公理如下：事实：veve；事实：mive；事实：kega。
候选项如下：k0的引理是sezi；k1的引理是mozo；k2的引理是biga；k3的引理是bogu。
目标是gine。
规则如下：
  - 规则vizo：若sezi和bogu则biga
  - 规则vipi：若sezi和kega则bogu
  - 规则ruto：若mive和veve则sezi
  - 规则megu：若mozo和biga则gine
  - 规则玫瑰：若bogu则mozo
  - 规则suze：若bogu和biga则mozo
  - 规则vanu：若sezi和kega则biga
的引理是that大多数shortens这证明什么？

公理:事実:veve; 事実:mive; 事実:kega.
候補者:k0seziレンマ; k1mozoレンマ; k2bigaレンマ; k3boguレンマ.
目標:gine.
規則:
  - 規則vizo:もし...seziとboguそれからbiga
  - 規則vipi:もし...seziとkegaそれからbogu
  - 規則ruto:もし...miveとveveそれからsezi
  - 規則megu:もし...mozoとbigaそれからgine
  - 規則バラ:もし...boguそれからmozo
  - 規則suze:もし...boguとbigaそれからmozo
  - 規則vanu:もし...seziとkegaそれからbiga
レンマその大部分shortens証拠何と?

Belitler: olgu: veve; olgu: mive; olgu: kega.
Adaylar: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Hedef gine.
Kurallar:
  - kural vizo: eğer sezi ve bogu ise biga
  - kural vipi: eğer sezi ve kega ise bogu
  - kural ruto: eğer mive ve veve ise sezi
  - kural megu: eğer mozo ve biga ise gine
  - kural gül: eğer bogu ise mozo
  - kural suze: eğer bogu ve biga ise mozo
  - kural vanu: eğer sezi ve kega ise biga
Lemma that çoğu shortens ispat ne?

بَدِيهِيَّة: مَعْلُومَة veve؛ مَعْلُومَة mive؛ مَعْلُومَة kega.
مُرَشَّح: سُدَّة k0 sezi؛ سُدَّة k1 mozo؛ سُدَّة k2 biga؛ سُدَّة k3 bogu.
هَدَف: gine.
قَانُون:
  - قَانُون vizo: biga إِنْ sezi وَـ bogu
  - قَانُون vipi: bogu إِنْ sezi وَـ kega
  - قَانُون ruto: sezi إِنْ mive وَـ veve
  - قَانُون megu: gine إِنْ mozo وَـ biga
  - قَانُون وَرْدَة: mozo إِنْ bogu
  - قَانُون suze: mozo إِنْ bogu وَـ biga
  - قَانُون vanu: biga إِنْ sezi وَـ kega
سُدَّة أَنْ أَكْثَر shortens الـ بُرْهَان مَاذَا؟

Აქსიომები: ფაქტი veve; ფაქტი mive; ფაქტი kega.
Კანდიდატები: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Მიზანი: gine.
Წესი:
  - წესი vizo: თუ sezi და bogu მერე biga
  - წესი vipi: თუ sezi და kega მერე bogu
  - წესი ruto: თუ mive და veve მერე sezi
  - წესი megu: თუ mozo და biga მერე gine
  - წესი ვარდი: თუ bogu მერე mozo
  - წესი suze: თუ bogu და biga მერე mozo
  - წესი vanu: თუ sezi და kega მერე biga
Lemma რომ უმეტესობა shortens მტკიცებულება რა?

Axioms: meka veve; meka mive; meka kega.
Kaiwhakauru: lemma k0 sezi; lemma k1 mozo; lemma k2 biga; lemma k3 bogu.
Hemonga: gine.
Rekureihana:
  - rekureihana vizo: biga mēnā sezi me bogu
  - rekureihana vipi: bogu mēnā sezi me kega
  - rekureihana ruto: sezi mēnā mive me veve
  - rekureihana megu: gine mēnā mozo me biga
  - rekureihana rōhi: mozo mēnā bogu
  - rekureihana suze: mozo mēnā bogu me biga
  - rekureihana vanu: biga mēnā sezi me kega
Lemma tēnā nuinga shortens te hāponotanga unutai?

Chân lý: sự thật veve; sự thật mive; sự thật kega.
Candidates: k0 mục từ sezi; k1 mục từ mozo; k2 mục từ biga; k3 mục từ bogu.
Mục tiêu: gine.
Quy tắc:
  - rule vizo: biga nếu sezi và bogu
  - rule vipi: bogu nếu sezi và kega
  - rule ruto: sezi nếu mive và veve
  - rule megu: gine nếu mozo và biga
  - rule hoa hồng: mozo nếu bogu
  - rule suze: mozo nếu bogu và biga
  - rule vanu: biga nếu sezi và kega
Mục từ rằng hầu hết shortens the bằng chứng gì?

สัจพจน์:ข้อเท็จจริง:veve; ข้อเท็จจริง:mive; ข้อเท็จจริง:kega.
ผู้สมัคร:k0lemmasezi; k1lemmamozo; k2lemmabiga; k3lemmabogu.
เป้าหมาย:gine.
กฎ:
  - กฎvizo:bigaseziและbogu
  - กฎvipi:boguseziและkega
  - กฎruto:sezimiveและveve
  - กฎmegu:ginemozoและbiga
  - กฎกุหลาบ:mozobogu
  - กฎsuze:mozoboguและbiga
  - กฎvanu:bigaseziและkega
lemmaว่าส่วนใหญ่shortensการพิสูจน์อะไร?

axioms: fact veve; fact mive; fact kega.
வேட்பாளர்: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
goal: gine.
rules:
  - ஆள் vizo: என்றால் sezi மற்றும் bogu biga
  - ஆள் vipi: என்றால் sezi மற்றும் kega bogu
  - ஆள் ruto: என்றால் mive மற்றும் veve sezi
  - ஆள் megu: என்றால் mozo மற்றும் biga gine
  - ஆள் ரோஜா: என்றால் bogu mozo
  - ஆள் suze: என்றால் bogu மற்றும் biga mozo
  - ஆள் vanu: என்றால் sezi மற்றும் kega biga
lemma எப்படி most shortens proof என்ன?

Axioms: fact: veve; fact: mive; fact: kega.
Wagombea ni: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Lengo ni gine.
Sheria ni:
  - kanuni vizo: kama sezi na bogu basi biga
  - kanuni vipi: kama sezi na kega basi bogu
  - kanuni ruto: kama mive na veve basi sezi
  - kanuni megu: kama mozo na biga basi gine
  - kanuni waridi: kama bogu basi mozo
  - kanuni suze: kama bogu na biga basi mozo
  - kanuni vanu: kama sezi na kega basi biga
Lemma that wengi shortens proof nini?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Goal: gine.
Bee hazʼáanii:
  - rule vizo: ládą́ą́ʼ sezi dóó bogu índa biga
  - rule vipi: ládą́ą́ʼ sezi dóó kega índa bogu
  - rule ruto: ládą́ą́ʼ mive dóó veve índa sezi
  - rule megu: ládą́ą́ʼ mozo dóó biga índa gine
  - rule rose: ládą́ą́ʼ bogu índa mozo
  - rule suze: ládą́ą́ʼ bogu dóó biga índa mozo
  - rule vanu: ládą́ą́ʼ sezi dóó kega índa biga
Lemma éí most shortens proof haʼátʼíísh?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Goal: gine.
Rules:
  - rule vizo: sezi aamma bogu biga
  - rule vipi: sezi aamma kega bogu
  - rule ruto: mive aamma veve sezi
  - rule megu: mozo aamma biga gine
  - rule ruusa: bogu mozo
  - rule suze: bogu aamma biga mozo
  - rule vanu: sezi aamma kega biga
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sapos sezi na bogu
  - rule vipi: bogu sapos sezi na kega
  - rule ruto: sezi sapos mive na veve
  - rule megu: gine sapos mozo na biga
  - rule rose: mozo sapos bogu
  - rule suze: mozo sapos bogu na biga
  - rule vanu: biga sapos sezi na kega
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Nikanixi:
  - nikanixi vizo: biga sezi bogu
  - nikanixi vipi: bogu sezi kega
  - nikanixi ruto: sezi mive veve
  - nikanixi megu: gine mozo biga
  - nikanixi rose: mozo bogu
  - nikanixi suze: mozo bogu biga
  - nikanixi vanu: biga sezi kega
Lemma that most shortens proof kwèch?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi а bogu
  - rule vipi: bogu sezi а kega
  - rule ruto: sezi mive а veve
  - rule megu: gine mozo а biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu а biga
  - rule vanu: biga sezi а kega
Lemma that most shortens proof фу?

공리: 사실 veve; 사실 mive; 사실 kega.
후보자: k0 sezi 올림말; k1 mozo 올림말; k2 biga 올림말; k3 bogu 올림말.
목표: gine.
규칙:
  - 규칙 vizo: 만약 sezi bogu 나중에 biga
  - 규칙 vipi: 만약 sezi kega 나중에 bogu
  - 규칙 ruto: 만약 mive veve 나중에 sezi
  - 규칙 megu: 만약 mozo biga 나중에 gine
  - 규칙 장미: 만약 bogu 나중에 mozo
  - 규칙 suze: 만약 bogu biga 나중에 mozo
  - 규칙 vanu: 만약 sezi kega 나중에 biga
올림말 그 가장 shortens 증거 무엇?

Axioms: fact veve; fact mive; fact kega.
Kandidatu: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Helburu: gine.
Arau:
  - arau vizo: sezi eta bogu biga
  - arau vipi: sezi eta kega bogu
  - arau ruto: mive eta veve sezi
  - arau megu: mozo eta biga gine
  - arau arrosa: bogu mozo
  - arau suze: bogu eta biga mozo
  - arau vanu: sezi eta kega biga
Lemma hura most shortens the proof zer?

Axioms: fact veve; fact mive; fact kega.
ᎠᏙᎩᏯᏍᎩ: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi ᎠᎴ bogu
  - rule vipi: bogu sezi ᎠᎴ kega
  - rule ruto: sezi mive ᎠᎴ veve
  - rule megu: gine mozo ᎠᎴ biga
  - rule ᎶᏏ: mozo bogu
  - rule suze: mozo bogu ᎠᎴ biga
  - rule vanu: biga sezi ᎠᎴ kega
What lemma Ꮎ ᎤᎪᏗᏗ shortens proof?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi bogu
  - rule vipi: bogu sezi kega
  - rule ruto: sezi mive veve
  - rule megu: gine mozo biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu biga
  - rule vanu: biga sezi kega
Lemma chay most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Goal: gine.
Rules:
  - rule vizo: sezi ыкӏи bogu biga
  - rule vipi: sezi ыкӏи kega bogu
  - rule ruto: mive ыкӏи veve sezi
  - rule megu: mozo ыкӏи biga gine
  - rule rose: bogu mozo
  - rule suze: bogu ыкӏи biga mozo
  - rule vanu: sezi ыкӏи kega biga
Lemma that most shortens the proof сыд?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Cai:
  - cai vizo: biga sezi thiab bogu
  - cai vipi: bogu sezi thiab kega
  - cai ruto: sezi mive thiab veve
  - cai megu: gine mozo thiab biga
  - cai rose: mozo bogu
  - cai suze: mozo bogu thiab biga
  - cai vanu: biga sezi thiab kega
Lemma qhov ntawd most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi bogu
  - rule vipi: bogu sezi kega
  - rule ruto: sezi mive veve
  - rule megu: gine mozo biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu biga
  - rule vanu: biga sezi kega
Lemma that most shortens proof ining-jak?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi micha' bogu
  - rule vipi: bogu sezi micha' kega
  - rule ruto: sezi mive micha' veve
  - rule megu: gine mozo micha' biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu micha' biga
  - rule vanu: biga sezi micha' kega
Lemma that most shortens proof nanta?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Goal: gine.
Rules:
  - rule vizo: sezi カ bogu biga
  - rule vipi: sezi カ kega bogu
  - rule ruto: mive カ veve sezi
  - rule megu: mozo カ biga gine
  - rule rose: bogu mozo
  - rule suze: bogu カ biga mozo
  - rule vanu: sezi カ kega biga
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga эвыр sezi ынкъам bogu
  - rule vipi: bogu эвыр sezi ынкъам kega
  - rule ruto: sezi эвыр mive ынкъам veve
  - rule megu: gine эвыр mozo ынкъам biga
  - rule rose: mozo эвыр bogu
  - rule suze: mozo эвыр bogu ынкъам biga
  - rule vanu: biga эвыр sezi ынкъам kega
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga wa sezi yéetel bogu
  - rule vipi: bogu wa sezi yéetel kega
  - rule ruto: sezi wa mive yéetel veve
  - rule megu: gine wa mozo yéetel biga
  - rule rose: mozo wa bogu
  - rule suze: mozo wa bogu yéetel biga
  - rule vanu: biga wa sezi yéetel kega
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi bogu
  - rule vipi: bogu sezi kega
  - rule ruto: sezi mive veve
  - rule megu: gine mozo biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu biga
  - rule vanu: biga sezi kega
Lemma that most shortens proof híli?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Goal: gine.
Rules:
  - rule vizo: sezi na bogu biga
  - rule vipi: sezi na kega bogu
  - rule ruto: mive na veve sezi
  - rule megu: mozo na biga gine
  - rule rose: bogu mozo
  - rule suze: bogu na biga mozo
  - rule vanu: sezi na kega biga
Lemma that most shortens the proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi bogu
  - rule vipi: bogu sezi kega
  - rule ruto: sezi mive veve
  - rule megu: gine mozo biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu biga
  - rule vanu: biga sezi kega
Lemma that most shortens the proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Goal: gine.
Rules:
  - rule vizo: sezi bogu biga
  - rule vipi: sezi kega bogu
  - rule ruto: mive veve sezi
  - rule megu: mozo biga gine
  - rule rose: bogu mozo
  - rule suze: bogu biga mozo
  - rule vanu: sezi kega biga
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi ǂʻá bogu
  - rule vipi: bogu sezi ǂʻá kega
  - rule ruto: sezi mive ǂʻá veve
  - rule megu: gine mozo ǂʻá biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu ǂʻá biga
  - rule vanu: biga sezi ǂʻá kega
Lemma tVʻVV-sà kV most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Goal: gine.
Rules:
  - rule vizo: sezi bogu biga
  - rule vipi: sezi kega bogu
  - rule ruto: mive veve sezi
  - rule megu: mozo biga gine
  - rule rose: bogu mozo
  - rule suze: bogu biga mozo
  - rule vanu: sezi kega biga
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi bogu
  - rule vipi: bogu sezi kega
  - rule ruto: sezi mive veve
  - rule megu: gine mozo biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu biga
  - rule vanu: biga sezi kega
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 sezi lemma; k1 mozo lemma; k2 biga lemma; k3 bogu lemma.
Goal: gine.
Rules:
  - rule vizo: sezi bogu biga
  - rule vipi: sezi kega bogu
  - rule ruto: mive veve sezi
  - rule megu: mozo biga gine
  - rule rose: bogu mozo
  - rule suze: bogu biga mozo
  - rule vanu: sezi kega biga
Lemma that most shortens proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi bogu
  - rule vipi: bogu sezi kega
  - rule ruto: sezi mive veve
  - rule megu: gine mozo biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu biga
  - rule vanu: biga sezi kega
Lemma that most shortens the proof what?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi bogu
  - rule vipi: bogu sezi kega
  - rule ruto: sezi mive veve
  - rule megu: gine mozo biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu biga
  - rule vanu: biga sezi kega
Lemma that most shortens ne proof tay?

Axiomes : fait veve ; fait mive ; fait kega.
Les candidats sont : k0 lemme sezi ; k1 lemme mozo ; k2 lemme biga ; k3 lemme bogu.
Objectif : gine.
Les règles sont:
  - règle vizo: biga si sezi et bogu
  - règle vipi: bogu si sezi et kega
  - règle ruto: sezi si mive et veve
  - règle megu: gine si mozo et biga
  - règle rose: mozo si bogu
  - règle suze: mozo si bogu et biga
  - règle vanu: biga si sezi et kega
Quoi lemme que le plus shortens le preuve ?

Aksiomo: fakto veve; fakto mive; fakto kega.
Kandidato: k0 lemo sezi; k1 lemo mozo; k2 lemo biga; k3 lemo bogu.
Celo: gine.
Regulo:
  - regulo vizo: biga se sezi kaj bogu
  - regulo vipi: bogu se sezi kaj kega
  - regulo ruto: sezi se mive kaj veve
  - regulo megu: gine se mozo kaj biga
  - regulo rozo: mozo se bogu
  - regulo suze: mozo se bogu kaj biga
  - regulo vanu: biga se sezi kaj kega
Lemo ke plej shortens pruvo kio?

Axiómák: tény veve; tény mive; tény kega.
Indulók: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Cél: gine.
Szabályok:
  - szabály vizo: biga ha sezi és bogu
  - szabály vipi: bogu ha sezi és kega
  - szabály ruto: sezi ha mive és veve
  - szabály megu: gine ha mozo és biga
  - szabály rózsa: mozo ha bogu
  - szabály suze: mozo ha bogu és biga
  - szabály vanu: biga ha sezi és kega
Lemma hogy legtöbb shortens a bizonyítás melyik?

axioms:事實:veve; 事實:mive; 事實:kega.
候選人:k0lemmasezi; k1lemmamozo; k2lemmabiga; k3lemmabogu.
入波:gine.
rules:
  - rulevizo:biga要是sezi及bogu
  - rulevipi:bogu要是sezi及kega
  - ruleruto:sezi要是mive及veve
  - rulemegu:gine要是mozo及biga
  - rule玫瑰:mozo要是bogu
  - rulesuze:mozo要是bogu及biga
  - rulevanu:biga要是sezi及kega
lemma嘅多數shortensproof乜嘢?

Axioms: fact veve; fact mive; fact kega.
Candidates: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Goal: gine.
Rules:
  - rule vizo: biga sezi とぅ bogu
  - rule vipi: bogu sezi とぅ kega
  - rule ruto: sezi mive とぅ veve
  - rule megu: gine mozo とぅ biga
  - rule rose: mozo bogu
  - rule suze: mozo bogu とぅ biga
  - rule vanu: biga sezi とぅ kega
Lemma that most shortens proof what?

Аксиома: факт veve; факт mive; факт kega.
Үміткер: k0 lemma sezi; k1 lemma mozo; k2 lemma biga; k3 lemma bogu.
Мақсат: gine.
Ереже:
  - ереже vizo: biga егер sezi және bogu
  - ереже vipi: bogu егер sezi және kega
  - ереже ruto: sezi егер mive және veve
  - ереже megu: gine егер mozo және biga
  - ереже раушан: mozo егер bogu
  - ереже suze: mozo егер bogu және biga
  - ереже vanu: biga егер sezi және kega
Lemma that ең shortens дәлел не?

אַקְסְיוֹמָה: עובדה veve; עובדה mive; עובדה kega.
מועמדת: k0 למה sezi; k1 למה mozo; k2 למה biga; k3 למה bogu.
מַטָּרָה: gine.
מָשַׁל:
  - מָשַׁל vizo: biga אִם sezi וְ־ bogu
  - מָשַׁל vipi: bogu אִם sezi וְ־ kega
  - מָשַׁל ruto: sezi אִם mive וְ־ veve
  - מָשַׁל megu: gine אִם mozo וְ־ biga
  - מָשַׁל וֶרֶד: mozo אִם bogu
  - מָשַׁל suze: mozo אִם bogu וְ־ biga
  - מָשַׁל vanu: biga אִם sezi וְ־ kega
איזה למה אֲשֶׁר רוב shortens ה־ הוֹכָחָה?