premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not humble is both not strong and not creative and vice versa.
If alice is not wise then susan is brave or not old and vice versa.
Everyone who is both not strong and not rich is either not tall or funny and vice versa.
If susan is not calm then alice is either not calm or not funny and vice versa.
Ever... | Mary is patient. | entailment | (![X]:(~humble(X)<=>(~strong(X)&~creative(X))))&
((~wise(alice))<=>((brave(susan)|~old(susan))))&
(![X]:((~strong(X)&~rich(X))<=>(~tall(X)<~>funny(X))))&
((~calm(susan))<=>((~calm(alice)<~>~funny(alice))))&
(![X]:((tall(X)|brave(X))<=>~wise(X)))&
((?[X]:(~calm(X)))=>(?[X]:((~tall(X)|~rich(X)))))&
(((wise(alice)<~>~brav... | patient(mary) | [
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2508410048821915412967542
% SZS output start Proof for 2508410048821915412967542
9. ! [X0] : (patient(X0) <=> (~old(X0) | tall(X0))) [input p8]
11. ! [X0] : (~funny(X0) <=> (~old(X0) <~> patient(X0))) [input p10]
15. ! [X0] : (old(X0) <=> (~funny(X0) & creative(X0))) [input p14]
22. ~pati... | 0 |
Everyone who is not old or not tall is funny or happy and vice versa.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both quiet and curious is either not generous or not quiet and vice versa.
Everyone who ... | Lucy is not generous. | entailment | (![X]:((~old(X)|~tall(X))<=>(funny(X)|happy(X))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kind(X)))&
(![X]:((~funny(X)|kind(X))<=>~happy(X)))&
(((curious(fred)<... | ~generous(lucy) | [
"p3",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 621896671432346559484739
% SZS output start Proof for 621896671432346559484739
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p3]
11. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p10]
13. ! [X0] : (quiet(X0) <=> (~kind(X0) | ~g... | 0 |
Everyone who is strong is both not brave and not humble.
Everyone who is not calm is not funny.
Everyone who is not strong is both not brave and not calm and vice versa.
If alice is not rich then someone is either not happy or not quiet.
If someone is not kind then mary is not kind.
If mary is not wise or not generous ... | John is not tall. | contradiction | (![X]:(strong(X)=>(~brave(X)&~humble(X))))&
(![X]:(~calm(X)=>~funny(X)))&
(![X]:(~strong(X)<=>(~brave(X)&~calm(X))))&
((~rich(alice))=>(?[X]:((~happy(X)<~>~quiet(X)))))&
((?[X]:(~kind(X)))=>(~kind(mary)))&
(((~wise(mary)|~generous(mary)))=>(?[X]:((humble(X)<~>~wise(X)))))&
(![X]:((rich(X)<~>~wise(X))=>(tall(X)&~generou... | ~tall(john) | [
"p0",
"p1",
"p2",
"p10",
"p11",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7623675538074302718108310
% SZS output start Proof for 7623675538074302718108310
1. ! [X0] : (strong(X0) => (~humble(X0) & ~brave(X0))) [input p0]
2. ! [X0] : (~calm(X0) => ~funny(X0)) [input p1]
3. ! [X0] : (~strong(X0) <=> (~calm(X0) & ~brave(X0))) [input p2]
11. ! [X0] : ((~humble(X0) ... | 0 |
Everyone who is not old is not tall or calm and vice versa.
If fred is either not generous or tall then someone is not creative.
Everyone who is either not kind or funny is not funny.
Everyone who is not patient or old is not brave or quiet and vice versa.
If someone is creative or generous then someone is either not s... | Paul is curious. | entailment | (![X]:(~old(X)<=>(~tall(X)|calm(X))))&
(((~generous(fred)<~>tall(fred)))=>(?[X]:(~creative(X))))&
(![X]:((~kind(X)<~>funny(X))=>~funny(X)))&
(![X]:((~patient(X)|old(X))<=>(~brave(X)|quiet(X))))&
((?[X]:((creative(X)|generous(X))))<=>(?[X]:((~strong(X)<~>~creative(X)))))&
(![X]:((~happy(X)|~curious(X))<=>(generous(X)<~>... | curious(paul) | [
"p0",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2023554480883282860595197
% SZS output start Proof for 2023554480883282860595197
1. ! [X0] : (~old(X0) <=> (calm(X0) | ~tall(X0))) [input p0]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (generous(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : (old(X0) => (~generous(X0) | ~tall(X0))) [input p6... | 0 |
Everyone who is strong or not rich is calm or creative and vice versa. If alice is not brave then alice is both humble and strong. If susan is both rich and not old then alice is both not old and not calm and vice versa. Everyone who is generous or not creative is creative. Everyone who is happy or strong is either not... | Alice is not calm. | neutral | (![X]:((strong(X)|~rich(X))<=>(calm(X)|creative(X))))&
((~brave(alice))=>((humble(alice)&strong(alice))))&
(((rich(susan)&~old(susan)))<=>((~old(alice)&~calm(alice))))&
(![X]:((generous(X)|~creative(X))=>creative(X)))&
(![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~tall(X))))&
(![X]:((curious(X)&strong(X))=>(tall(X)&curiou... | ~calm(alice) | [] | null | 0 |
If fred is either not kind or not humble then someone is kind.
Everyone who is both kind and not happy is not curious and vice versa.
Everyone who is not humble or not strong is both not curious and not funny and vice versa.
If lucy is either wise or old then susan is not brave and vice versa.
Everyone who is not brave... | Mary is not wise. | contradiction | (((~kind(fred)<~>~humble(fred)))=>(?[X]:(kind(X))))&
(![X]:((kind(X)&~happy(X))<=>~curious(X)))&
(![X]:((~humble(X)|~strong(X))<=>(~curious(X)&~funny(X))))&
(((wise(lucy)<~>old(lucy)))<=>(~brave(susan)))&
(![X]:(~brave(X)<=>(~strong(X)|~curious(X))))&
(![X]:((~rich(X)&brave(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~cal... | ~wise(mary) | [
"p2",
"p6",
"p10",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 110962798957509871882738
% SZS output start Proof for 110962798957509871882738
3. ! [X0] : ((~strong(X0) | ~humble(X0)) <=> (~funny(X0) & ~curious(X0))) [input p2]
7. ! [X0] : ((strong(X0) & ~calm(X0)) <=> (calm(X0) | ~quiet(X0))) [input p6]
11. ? [X0] : (~quiet(X0) & ~wise(X0)) => (~old(... | 0 |
Everyone who is both not brave and not calm is either not calm or not strong and vice versa.
Everyone who is both patient and not generous is either quiet or not old and vice versa.
If fred is either tall or not rich then someone is both not calm and not happy.
If mary is either not brave or tall then mary is both kind... | Paul is kind. | entailment | (![X]:((~brave(X)&~calm(X))<=>(~calm(X)<~>~strong(X))))&
(![X]:((patient(X)&~generous(X))<=>(quiet(X)<~>~old(X))))&
(((tall(fred)<~>~rich(fred)))=>(?[X]:((~calm(X)&~happy(X)))))&
(((~brave(mary)<~>tall(mary)))<=>((kind(mary)&generous(mary))))&
(![X]:((humble(X)<~>strong(X))<=>(tall(X)<~>curious(X))))&
(![X]:(~wise(X)<=... | kind(paul) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4606923448377170599283928
% SZS output start Proof for 4606923448377170599283928
15. ! [X0] : (~kind(X0) => (~tall(X0) & generous(X0))) [input p14]
16. ! [X0] : ((~old(X0) | ~tall(X0)) <=> (~generous(X0) & old(X0))) [input p15]
25. ~kind(paul) [input hypothesis]
30. ! [X0] : ((~tall(X0) &... | 0 |
Everyone who is both not wise and calm is both wise and not curious and vice versa. If someone is both not calm and happy then mary is either generous or not generous. Everyone who is not creative is either patient or not strong and vice versa. If someone is not brave then susan is either not tall or not quiet. Everyon... | Susan is not wise. | entailment | (![X]:((~wise(X)&calm(X))<=>(wise(X)&~curious(X))))&
((?[X]:((~calm(X)&happy(X))))=>((generous(mary)<~>~generous(mary))))&
(![X]:(~creative(X)<=>(patient(X)<~>~strong(X))))&
((?[X]:(~brave(X)))=>((~tall(susan)<~>~quiet(susan))))&
(![X]:((~brave(X)|~patient(X))=>~generous(X)))&
(![X]:(~brave(X)=>(funny(X)|~wise(X))))&
(... | ~wise(susan) | [
"p3",
"p7",
"p8",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 522884096924505493799368
% SZS output start Proof for 522884096924505493799368
4. ? [X0] : ~brave(X0) => (~tall(susan) <~> ~quiet(susan)) [input p3]
8. ! [X0] : ((~wise(X0) & kind(X0)) <=> (tall(X0) | brave(X0))) [input p7]
9. ! [X0] : ((~old(X0) & old(X0)) <=> (~quiet(X0) <~> ~generous(X... | 0 |
If someone is either funny or not humble then alice is not calm. Everyone who is both not quiet and not tall is either not calm or not kind and vice versa. Everyone who is both tall and not brave is either not happy or kind and vice versa. Everyone who is both not brave and happy is not tall or patient and vice versa. ... | Alice is not patient. | entailment | ((?[X]:((funny(X)<~>~humble(X))))=>(~calm(alice)))&
(![X]:((~quiet(X)&~tall(X))<=>(~calm(X)<~>~kind(X))))&
(![X]:((tall(X)&~brave(X))<=>(~happy(X)<~>kind(X))))&
(![X]:((~brave(X)&happy(X))<=>(~tall(X)|patient(X))))&
((?[X]:((kind(X)|~wise(X))))=>(~humble(paul)))&
(((humble(susan)<~>wise(susan)))=>(brave(susan)))&
(![X]... | ~patient(alice) | [
"p3",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6802461500575662195747153
% SZS output start Proof for 6802461500575662195747153
4. ! [X0] : ((happy(X0) & ~brave(X0)) <=> (patient(X0) | ~tall(X0))) [input p3]
16. ! [X0] : (~happy(X0) <=> tall(X0)) [input p15]
21. patient(alice) <~> ~tall(alice) [input p20]
23. patient(alice) [input hyp... | 0 |
Everyone who is tall is not creative and vice versa.
Everyone who is both not happy and quiet is not rich or old and vice versa.
Everyone who is either happy or quiet is both not old and generous and vice versa.
Everyone who is generous is both creative and quiet and vice versa.
Everyone who is either humble or quiet i... | Mary is not funny. | contradiction | (![X]:(tall(X)<=>~creative(X)))&
(![X]:((~happy(X)&quiet(X))<=>(~rich(X)|old(X))))&
(![X]:((happy(X)<~>quiet(X))<=>(~old(X)&generous(X))))&
(![X]:(generous(X)<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)<~>quiet(X))=>funny(X)))&
(![X]:((old(X)&happy(X))<=>(humble(X)|~strong(X))))&
(![X]:(rich(X)=>(~humble(X)<~>~tall(X... | ~funny(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2903409948644162958505148
% SZS output start Proof for 2903409948644162958505148
1. ! [X0] : (tall(X0) <=> ~creative(X0)) [input p0]
2. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (old(X0) | ~rich(X0))) [input p1]
3. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (generous(X0) & ~old(X0))) [input p2]... | 0 |
If someone is not funny then someone is humble and vice versa.
Everyone who is both creative and not wise is either old or not patient.
If someone is both not brave and brave then alice is not happy or not kind and vice versa.
Everyone who is both funny and not quiet is either not rich or not strong.
Everyone who is no... | Paul is not happy. | neutral | ((?[X]:(~funny(X)))<=>(?[X]:(humble(X))))&
(![X]:((creative(X)&~wise(X))=>(old(X)<~>~patient(X))))&
((?[X]:((~brave(X)&brave(X))))<=>((~happy(alice)|~kind(alice))))&
(![X]:((funny(X)&~quiet(X))=>(~rich(X)<~>~strong(X))))&
(![X]:(~funny(X)<=>(rich(X)&strong(X))))&
(![X]:(patient(X)<=>~happy(X)))&
(((~strong(mary)<~>old(... | ~happy(paul) | [] | null | 0 |
Everyone who is either tall or not creative is not brave.
If john is both not humble and not wise then someone is kind or curious and vice versa.
Everyone who is both not tall and not generous is not calm or strong and vice versa.
Everyone who is both not happy and humble is both not generous and old and vice versa.
If... | Fred is not old. | neutral | (![X]:((tall(X)<~>~creative(X))=>~brave(X)))&
(((~humble(john)&~wise(john)))<=>(?[X]:((kind(X)|curious(X)))))&
(![X]:((~tall(X)&~generous(X))<=>(~calm(X)|strong(X))))&
(![X]:((~happy(X)&humble(X))<=>(~generous(X)&old(X))))&
((?[X]:((~strong(X)<~>brave(X))))=>(?[X]:((~calm(X)|~humble(X)))))&
(![X]:((~kind(X)&generous(X)... | ~old(fred) | [] | null | 0 |
If someone is both funny and not wise then lucy is creative or curious.
Everyone who is either wise or not brave is not strong and vice versa.
If someone is curious then mary is either not curious or not generous and vice versa.
Everyone who is either not wise or not rich is both not tall and wise and vice versa.
Every... | Mary is not curious. | neutral | ((?[X]:((funny(X)&~wise(X))))=>((creative(lucy)|curious(lucy))))&
(![X]:((wise(X)<~>~brave(X))<=>~strong(X)))&
((?[X]:(curious(X)))<=>((~curious(mary)<~>~generous(mary))))&
(![X]:((~wise(X)<~>~rich(X))<=>(~tall(X)&wise(X))))&
(![X]:((generous(X)&~happy(X))<=>(~quiet(X)<~>~curious(X))))&
(![X]:((quiet(X)&~creative(X))=>... | ~curious(mary) | [] | null | 0 |
If alice is both not patient and old then john is both calm and happy and vice versa. Everyone who is either rich or not old is not old or humble. If someone is calm then john is both not calm and not kind and vice versa. If someone is both not generous and not happy then someone is patient. If someone is both not kind... | John is not creative. | entailment | (((~patient(alice)&old(alice)))<=>((calm(john)&happy(john))))&
(![X]:((rich(X)<~>~old(X))=>(~old(X)|humble(X))))&
((?[X]:(calm(X)))<=>((~calm(john)&~kind(john))))&
((?[X]:((~generous(X)&~happy(X))))=>(?[X]:(patient(X))))&
((?[X]:((~kind(X)&old(X))))<=>((humble(alice)<~>brave(alice))))&
(![X]:(~generous(X)<=>(humble(X)|... | ~creative(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5249960752833550177943753
% SZS output start Proof for 5249960752833550177943753
17. ~creative(john) & strong(john) [input p16]
25. creative(john) [input hypothesis]
127. ~creative(john) [cnf transformation 17]
137. creative(john) [cnf transformation 25]
282. $false [subsumption resolutio... | 0 |
Everyone who is either kind or not happy is both not creative and old and vice versa.
Everyone who is either calm or not brave is tall and vice versa.
Everyone who is both kind and happy is both not humble and not creative and vice versa.
Everyone who is not kind or tall is wise.
Everyone who is not generous is either ... | John is wise. | entailment | (![X]:((kind(X)<~>~happy(X))<=>(~creative(X)&old(X))))&
(![X]:((calm(X)<~>~brave(X))<=>tall(X)))&
(![X]:((kind(X)&happy(X))<=>(~humble(X)&~creative(X))))&
(![X]:((~kind(X)|tall(X))=>wise(X)))&
(![X]:(~generous(X)<=>(~rich(X)<~>~calm(X))))&
(![X]:((curious(X)|~rich(X))=>(generous(X)|humble(X))))&
(![X]:(~quiet(X)<=>(~ca... | wise(john) | [
"p1",
"p3",
"p4",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1108519948324666617310888
% SZS output start Proof for 1108519948324666617310888
2. ! [X0] : ((calm(X0) <~> ~brave(X0)) <=> tall(X0)) [input p1]
4. ! [X0] : ((tall(X0) | ~kind(X0)) => wise(X0)) [input p3]
5. ! [X0] : (~generous(X0) <=> (~rich(X0) <~> ~calm(X0))) [input p4]
9. ! [X0] : (ge... | 0 |
If mary is not tall or quiet then mary is either not rich or curious.
Everyone who is not brave is not brave or not tall and vice versa.
If mary is either curious or not generous then paul is either not generous or not wise.
Everyone who is not funny or not happy is generous.
Everyone who is either funny or not creativ... | Mary is happy. | entailment | (((~tall(mary)|quiet(mary)))=>((~rich(mary)<~>curious(mary))))&
(![X]:(~brave(X)<=>(~brave(X)|~tall(X))))&
(((curious(mary)<~>~generous(mary)))=>((~generous(paul)<~>~wise(paul))))&
(![X]:((~funny(X)|~happy(X))=>generous(X)))&
(![X]:((funny(X)<~>~creative(X))<=>(creative(X)&~wise(X))))&
(![X]:(~wise(X)=>(quiet(X)|~patie... | happy(mary) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7924116954839150687115566
% SZS output start Proof for 7924116954839150687115566
9. ! [X0] : ((calm(X0) | patient(X0)) <=> (~tall(X0) & creative(X0))) [input p8]
11. ! [X0] : ((~tall(X0) | ~calm(X0)) <=> happy(X0)) [input p10]
25. ~happy(mary) [input hypothesis]
45. ! [X0] : (((calm(X0) |... | 0 |
If someone is not tall then alice is humble or not old and vice versa.
If fred is both wise and patient then someone is not wise and vice versa.
Everyone who is both creative and patient is quiet.
If someone is patient or calm then mary is both tall and not curious and vice versa.
If someone is kind then someone is cur... | Mary is funny. | neutral | ((?[X]:(~tall(X)))<=>((humble(alice)|~old(alice))))&
(((wise(fred)&patient(fred)))<=>(?[X]:(~wise(X))))&
(![X]:((creative(X)&patient(X))=>quiet(X)))&
((?[X]:((patient(X)|calm(X))))<=>((tall(mary)&~curious(mary))))&
((?[X]:(kind(X)))=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:((kind(X)|~curious(X))<=>(happy(X)|~funny(X)))... | funny(mary) | [] | null | 0 |
If someone is not humble or not strong then someone is not curious or generous and vice versa.
Everyone who is either strong or not quiet is either not kind or not old.
Everyone who is either not calm or not brave is generous.
Everyone who is brave or not strong is both generous and not kind and vice versa.
If alice is... | Alice is tall. | contradiction | ((?[X]:((~humble(X)|~strong(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:((strong(X)<~>~quiet(X))=>(~kind(X)<~>~old(X))))&
(![X]:((~calm(X)<~>~brave(X))=>generous(X)))&
(![X]:((brave(X)|~strong(X))<=>(generous(X)&~kind(X))))&
(((old(alice)|~patient(alice)))=>(?[X]:((~quiet(X)&generous(X)))))&
(![X]:(~happy(X)<=>(... | tall(alice) | [
"p3",
"p6",
"p9",
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3939984221461332760528598
% SZS output start Proof for 3939984221461332760528598
4. ! [X0] : ((~strong(X0) | brave(X0)) <=> (~kind(X0) & generous(X0))) [input p3]
7. ? [X0] : ~tall(X0) => ~tall(alice) [input p6]
10. ! [X0] : ((calm(X0) | ~wise(X0)) => wise(X0)) [input p9]
11. ? [X0] : ~st... | 0 |
If someone is not patient or generous then someone is either calm or not strong.
Everyone who is either not wise or not funny is both strong and rich.
If mary is both tall and humble then someone is both not kind and creative and vice versa.
Everyone who is either not curious or curious is either not funny or calm.
Eve... | Alice is not happy. | contradiction | ((?[X]:((~patient(X)|generous(X))))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((~wise(X)<~>~funny(X))=>(strong(X)&rich(X))))&
(((tall(mary)&humble(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((~curious(X)<~>curious(X))=>(~funny(X)<~>calm(X))))&
(![X]:((~humble(X)<~>calm(X))<=>~rich(X)))&
(![X]:((~patient(X)|~humbl... | ~happy(alice) | [
"p1",
"p3",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 433792084954128758267980
% SZS output start Proof for 433792084954128758267980
2. ! [X0] : ((~wise(X0) <~> ~funny(X0)) => (rich(X0) & strong(X0))) [input p1]
4. ! [X0] : ((~curious(X0) <~> curious(X0)) => (~funny(X0) <~> calm(X0))) [input p3]
10. ! [X0] : ((calm(X0) <~> ~happy(X0)) => (wi... | 0 |
Everyone who is both brave and not curious is kind and vice versa.
If someone is not brave or calm then someone is not brave or kind and vice versa.
Everyone who is either not calm or not kind is calm and vice versa.
If someone is happy or not calm then john is either not generous or old and vice versa.
Everyone who is... | John is not curious. | contradiction | (![X]:((brave(X)&~curious(X))<=>kind(X)))&
((?[X]:((~brave(X)|calm(X))))<=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~calm(X)<~>~kind(X))<=>calm(X)))&
((?[X]:((happy(X)|~calm(X))))<=>((~generous(john)<~>old(john))))&
(![X]:(~funny(X)=>~tall(X)))&
((?[X]:((kind(X)&~tall(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:(~... | ~curious(john) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1681479303812037889291844
% SZS output start Proof for 1681479303812037889291844
3. ! [X0] : ((~calm(X0) <~> ~kind(X0)) <=> calm(X0)) [input p2]
6. ? [X0] : (~tall(X0) & kind(X0)) <=> ? [X0] : (generous(X0) | ~curious(X0)) [input p5]
25. ~curious(john) [input hypothesis]
27. ? [X0] : (~ta... | 0 |
Everyone who is not funny or generous is either brave or not patient. Everyone who is not rich or not creative is both not patient and not generous. Everyone who is both generous and not generous is generous. If susan is calm or happy then lucy is not funny and vice versa. Everyone who is not patient or not old is not ... | Susan is not rich. | contradiction | (![X]:((~funny(X)|generous(X))=>(brave(X)<~>~patient(X))))&
(![X]:((~rich(X)|~creative(X))=>(~patient(X)&~generous(X))))&
(![X]:((generous(X)&~generous(X))=>generous(X)))&
(((calm(susan)|happy(susan)))<=>(~funny(lucy)))&
(![X]:((~patient(X)|~old(X))=>(~kind(X)|~generous(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~wise(X)|~happ... | ~rich(susan) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 928470068118030839828790
% SZS output start Proof for 928470068118030839828790
2. ! [X0] : ((~creative(X0) | ~rich(X0)) => (~generous(X0) & ~patient(X0))) [input p1]
8. ! [X0] : (generous(X0) <=> (~generous(X0) | ~funny(X0))) [input p7]
22. ~rich(susan) [input hypothesis]
27. ! [X0] : ((~... | 0 |
Everyone who is either calm or not old is both kind and not old and vice versa.
Everyone who is not kind or not rich is not strong.
Everyone who is either strong or creative is both not tall and calm.
If someone is rich or not generous then john is rich and vice versa.
If fred is rich or old then john is funny.
Everyon... | Susan is not generous. | neutral | (![X]:((calm(X)<~>~old(X))<=>(kind(X)&~old(X))))&
(![X]:((~kind(X)|~rich(X))=>~strong(X)))&
(![X]:((strong(X)<~>creative(X))=>(~tall(X)&calm(X))))&
((?[X]:((rich(X)|~generous(X))))<=>(rich(john)))&
(((rich(fred)|old(fred)))=>(funny(john)))&
(![X]:((~strong(X)<~>~happy(X))<=>tall(X)))&
(((~old(john)<~>happy(john)))=>(?[... | ~generous(susan) | [] | null | 0 |
If alice is brave or not creative then alice is not brave and vice versa. Everyone who is creative or curious is tall or not happy. If alice is not wise then someone is not old and vice versa. If someone is both brave and patient then someone is either calm or creative and vice versa. If someone is either not funny or ... | Susan is not quiet. | neutral | (((brave(alice)|~creative(alice)))<=>(~brave(alice)))&
(![X]:((creative(X)|curious(X))=>(tall(X)|~happy(X))))&
((~wise(alice))<=>(?[X]:(~old(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((calm(X)<~>creative(X)))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((patient(paul)|~kind(paul))))&
((?[X]:(~generous(X)))=>((rich(lucy)<... | ~quiet(susan) | [] | null | 0 |
Everyone who is both creative and not brave is not generous.
Everyone who is not rich or quiet is brave.
If fred is either rich or not old then someone is not quiet or not generous.
If fred is not generous then someone is happy or not brave and vice versa.
If lucy is both not brave and brave then someone is strong or b... | John is not brave. | contradiction | (![X]:((creative(X)&~brave(X))=>~generous(X)))&
(![X]:((~rich(X)|quiet(X))=>brave(X)))&
(((rich(fred)<~>~old(fred)))=>(?[X]:((~quiet(X)|~generous(X)))))&
((~generous(fred))<=>(?[X]:((happy(X)|~brave(X)))))&
(((~brave(lucy)&brave(lucy)))=>(?[X]:((strong(X)|brave(X)))))&
((~kind(mary))<=>(~happy(fred)))&
(![X]:((~rich(X)... | ~brave(john) | [
"p1",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6400364199956890363808808
% SZS output start Proof for 6400364199956890363808808
2. ! [X0] : ((quiet(X0) | ~rich(X0)) => brave(X0)) [input p1]
7. ! [X0] : ((~wise(X0) | ~rich(X0)) <=> (rich(X0) & ~curious(X0))) [input p6]
8. ! [X0] : (~quiet(X0) => (rich(X0) <~> ~brave(X0))) [input p7]
25... | 0 |
If someone is either funny or not strong then alice is funny and vice versa. If fred is not humble then someone is wise or not creative and vice versa. If mary is both not patient and calm then john is not creative or not rich and vice versa. If someone is both calm and not patient then someone is either kind or wise. ... | Fred is not creative. | neutral | ((?[X]:((funny(X)<~>~strong(X))))<=>(funny(alice)))&
((~humble(fred))<=>(?[X]:((wise(X)|~creative(X)))))&
(((~patient(mary)&calm(mary)))<=>((~creative(john)|~rich(john))))&
((?[X]:((calm(X)&~patient(X))))=>(?[X]:((kind(X)<~>wise(X)))))&
(((~old(john)<~>~generous(john)))<=>(?[X]:((~creative(X)&happy(X)))))&
((?[X]:(~old... | ~creative(fred) | [] | null | 0 |
Everyone who is either not happy or curious is either rich or not curious and vice versa.
Everyone who is not quiet is generous or not generous.
If alice is rich or not patient then someone is not funny or not patient and vice versa.
Everyone who is not strong or creative is wise and vice versa.
Everyone who is creativ... | Lucy is humble. | neutral | (![X]:((~happy(X)<~>curious(X))<=>(rich(X)<~>~curious(X))))&
(![X]:(~quiet(X)=>(generous(X)|~generous(X))))&
(((rich(alice)|~patient(alice)))<=>(?[X]:((~funny(X)|~patient(X)))))&
(![X]:((~strong(X)|creative(X))<=>wise(X)))&
(![X]:(creative(X)=>~old(X)))&
(((quiet(fred)|~funny(fred)))=>((wise(alice)&~happy(alice))))&
(!... | humble(lucy) | [] | null | 0 |
If someone is calm then someone is not patient.
Everyone who is either not brave or not old is both curious and not old and vice versa.
Everyone who is both patient and not kind is creative and vice versa.
Everyone who is not strong is not brave or not tall and vice versa.
Everyone who is not kind or strong is either h... | Fred is not patient. | entailment | ((?[X]:(calm(X)))=>(?[X]:(~patient(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(curious(X)&~old(X))))&
(![X]:((patient(X)&~kind(X))<=>creative(X)))&
(![X]:(~strong(X)<=>(~brave(X)|~tall(X))))&
(![X]:((~kind(X)|strong(X))=>(happy(X)<~>creative(X))))&
((?[X]:((curious(X)&~tall(X))))<=>((old(john)&calm(john))))&
(![X]:((patient... | ~patient(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1432805019894485795681459
% SZS output start Proof for 1432805019894485795681459
7. ! [X0] : ((kind(X0) | patient(X0)) => (~patient(X0) & quiet(X0))) [input p6]
23. patient(fred) [input hypothesis]
28. ! [X0] : ((~patient(X0) & quiet(X0)) | (~kind(X0) & ~patient(X0))) [ennf transformation... | 0 |
If someone is humble then someone is strong or generous and vice versa. If mary is curious then someone is not wise. Everyone who is not tall is either not wise or not patient. Everyone who is either not rich or happy is either not quiet or calm and vice versa. Everyone who is either old or not calm is either not tall ... | Mary is tall. | contradiction | ((?[X]:(humble(X)))<=>(?[X]:((strong(X)|generous(X)))))&
((curious(mary))=>(?[X]:(~wise(X))))&
(![X]:(~tall(X)=>(~wise(X)<~>~patient(X))))&
(![X]:((~rich(X)<~>happy(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:((old(X)<~>~calm(X))<=>(~tall(X)<~>quiet(X))))&
(![X]:((~kind(X)|tall(X))<=>(rich(X)&~curious(X))))&
((?[X]:((rich(X)<... | tall(mary) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7040483516998378726725320
% SZS output start Proof for 7040483516998378726725320
6. ! [X0] : ((tall(X0) | ~kind(X0)) <=> (~curious(X0) & rich(X0))) [input p5]
14. ! [X0] : ((~rich(X0) <~> ~curious(X0)) => (~tall(X0) & curious(X0))) [input p13]
25. tall(mary) [input hypothesis]
37. ! [X0] ... | 0 |
If someone is not strong or not creative then john is both not creative and wise and vice versa.
Everyone who is both humble and not tall is both curious and not quiet.
Everyone who is calm is old and vice versa.
Everyone who is either not creative or not generous is funny.
Everyone who is not old or not humble is not ... | Paul is tall. | entailment | ((?[X]:((~strong(X)|~creative(X))))<=>((~creative(john)&wise(john))))&
(![X]:((humble(X)&~tall(X))=>(curious(X)&~quiet(X))))&
(![X]:(calm(X)<=>old(X)))&
(![X]:((~creative(X)<~>~generous(X))=>funny(X)))&
(![X]:((~old(X)|~humble(X))<=>(~tall(X)|happy(X))))&
(![X]:((curious(X)&quiet(X))=>~brave(X)))&
(![X]:(~old(X)=>(~tal... | tall(paul) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3740346335531391502245527
% SZS output start Proof for 3740346335531391502245527
5. ! [X0] : ((~humble(X0) | ~old(X0)) <=> (happy(X0) | ~tall(X0))) [input p4]
23. humble(paul) & old(paul) [input p22]
24. ~tall(paul) [input hypothesis]
43. ! [X0] : (((~humble(X0) | ~old(X0)) | (~happy(X0) ... | 0 |
Everyone who is both kind and creative is not humble.
Everyone who is both quiet and humble is either rich or tall.
Everyone who is either not patient or brave is both not calm and patient.
If fred is not happy or happy then someone is both not curious and not humble and vice versa.
If mary is either creative or tall t... | Alice is not curious. | contradiction | (![X]:((kind(X)&creative(X))=>~humble(X)))&
(![X]:((quiet(X)&humble(X))=>(rich(X)<~>tall(X))))&
(![X]:((~patient(X)<~>brave(X))=>(~calm(X)&patient(X))))&
(((~happy(fred)|happy(fred)))<=>(?[X]:((~curious(X)&~humble(X)))))&
(((creative(mary)<~>tall(mary)))<=>((~creative(alice)|rich(alice))))&
((?[X]:((~quiet(X)|quiet(X))... | ~curious(alice) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 31451987387704670789425
% SZS output start Proof for 31451987387704670789425
4. (happy(fred) | ~happy(fred)) <=> ? [X0] : (~humble(X0) & ~curious(X0)) [input p3]
11. ? [X0] : (~humble(X0) | ~brave(X0)) => (curious(alice) & tall(alice)) [input p10]
25. ~curious(alice) [input hypothesis]
45... | 0 |
Everyone who is either happy or rich is tall or not wise and vice versa.
Everyone who is not kind is not tall or generous and vice versa.
Everyone who is not strong or not brave is both curious and kind.
Everyone who is tall or patient is either humble or quiet and vice versa.
Everyone who is wise or not curious is eit... | Fred is curious. | contradiction | (![X]:((happy(X)<~>rich(X))<=>(tall(X)|~wise(X))))&
(![X]:(~kind(X)<=>(~tall(X)|generous(X))))&
(![X]:((~strong(X)|~brave(X))=>(curious(X)&kind(X))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((wise(X)|~curious(X))<=>(~wise(X)<~>humble(X))))&
(![X]:(wise(X)=>(~strong(X)&rich(X))))&
((?[X]:(~calm(X)... | curious(fred) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6049847009572637121727272
% SZS output start Proof for 6049847009572637121727272
1. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (~wise(X0) | tall(X0))) [input p0]
5. ! [X0] : ((~curious(X0) | wise(X0)) <=> (~wise(X0) <~> humble(X0))) [input p4]
6. ! [X0] : (wise(X0) => (rich(X0) & ~strong(X0))... | 0 |
Everyone who is both happy and humble is not brave or not funny.
If alice is not happy then alice is not rich and vice versa.
Everyone who is calm or creative is not wise or curious and vice versa.
Everyone who is not rich is either not rich or not curious.
Everyone who is either not curious or not tall is both not hap... | Fred is happy. | contradiction | (![X]:((happy(X)&humble(X))=>(~brave(X)|~funny(X))))&
((~happy(alice))<=>(~rich(alice)))&
(![X]:((calm(X)|creative(X))<=>(~wise(X)|curious(X))))&
(![X]:(~rich(X)=>(~rich(X)<~>~curious(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~happy(X)&~rich(X))))&
(((~funny(fred)<~>funny(fred)))=>((tall(john)<~>~happy(john))))&
((gene... | happy(fred) | [
"p3",
"p4",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8033423959376072056366790
% SZS output start Proof for 8033423959376072056366790
4. ! [X0] : (~rich(X0) => (~rich(X0) <~> ~curious(X0))) [input p3]
5. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (~rich(X0) & ~happy(X0))) [input p4]
10. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (~creative(X... | 0 |
If someone is strong or not quiet then john is both not generous and not kind. Everyone who is wise or rich is either not happy or not rich and vice versa. Everyone who is not kind or happy is both not old and wise. Everyone who is quiet is kind or not humble. Everyone who is either generous or kind is kind or humble. ... | John is curious. | entailment | ((?[X]:((strong(X)|~quiet(X))))=>((~generous(john)&~kind(john))))&
(![X]:((wise(X)|rich(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:((~kind(X)|happy(X))=>(~old(X)&wise(X))))&
(![X]:(quiet(X)=>(kind(X)|~humble(X))))&
(![X]:((generous(X)<~>kind(X))=>(kind(X)|humble(X))))&
((?[X]:((kind(X)|wise(X))))=>(?[X]:(happy(X))))&
((~pat... | curious(john) | [
"p0",
"p2",
"p3",
"p4",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5539131612678622194398226
% SZS output start Proof for 5539131612678622194398226
1. ? [X0] : (~quiet(X0) | strong(X0)) => (~kind(john) & ~generous(john)) [input p0]
3. ! [X0] : ((happy(X0) | ~kind(X0)) => (wise(X0) & ~old(X0))) [input p2]
4. ! [X0] : (quiet(X0) => (~humble(X0) | kind(X0))... | 0 |
Everyone who is not humble is quiet or curious and vice versa.
If lucy is either tall or not kind then lucy is either not old or not kind and vice versa.
Everyone who is not rich or not brave is either brave or not tall.
Everyone who is both tall and not funny is either creative or not wise.
Everyone who is either not ... | Paul is old. | neutral | (![X]:(~humble(X)<=>(quiet(X)|curious(X))))&
(((tall(lucy)<~>~kind(lucy)))<=>((~old(lucy)<~>~kind(lucy))))&
(![X]:((~rich(X)|~brave(X))=>(brave(X)<~>~tall(X))))&
(![X]:((tall(X)&~funny(X))=>(creative(X)<~>~wise(X))))&
(![X]:((~rich(X)<~>generous(X))=>rich(X)))&
(((~kind(paul)&funny(paul)))=>(?[X]:((creative(X)|~patient... | old(paul) | [] | null | 0 |
If alice is not funny then someone is either not generous or not curious and vice versa.
Everyone who is either tall or kind is rich.
If someone is curious then susan is not brave or rich and vice versa.
If alice is kind then someone is not strong or not curious and vice versa.
Everyone who is both brave and not strong... | Paul is not rich. | entailment | ((~funny(alice))<=>(?[X]:((~generous(X)<~>~curious(X)))))&
(![X]:((tall(X)<~>kind(X))=>rich(X)))&
((?[X]:(curious(X)))<=>((~brave(susan)|rich(susan))))&
((kind(alice))<=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((brave(X)&~strong(X))<=>(patient(X)|~quiet(X))))&
(((funny(mary)&~tall(mary)))<=>(patient(mary)))&
(((~quie... | ~rich(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 898984881311116795721491
% SZS output start Proof for 898984881311116795721491
7. (~rich(paul) & ~quiet(paul)) <=> ? [X0] : (~funny(X0) | rich(X0)) [input p6]
18. rich(paul) [input hypothesis]
41. ((~rich(paul) & ~quiet(paul)) | ! [X0] : (funny(X0) & ~rich(X0))) & (? [X0] : (~funny(X0) | ... | 0 |
Everyone who is both not happy and patient is not creative or curious and vice versa. Everyone who is curious is not strong or not calm. If lucy is brave or patient then someone is both not kind and not tall. If mary is both not old and not humble then someone is not wise. If john is both humble and creative then someo... | Susan is generous. | neutral | (![X]:((~happy(X)&patient(X))<=>(~creative(X)|curious(X))))&
(![X]:(curious(X)=>(~strong(X)|~calm(X))))&
(((brave(lucy)|patient(lucy)))=>(?[X]:((~kind(X)&~tall(X)))))&
(((~old(mary)&~humble(mary)))=>(?[X]:(~wise(X))))&
(((humble(john)&creative(john)))<=>(?[X]:(~quiet(X))))&
((?[X]:(~wise(X)))=>(?[X]:(kind(X))))&
(![X]:... | generous(susan) | [] | null | 0 |
Everyone who is quiet or patient is not strong and vice versa.
If susan is not humble or not funny then fred is not calm or not brave and vice versa.
If alice is both not happy and not calm then someone is both old and generous and vice versa.
Everyone who is old or wise is both not brave and happy.
Everyone who is not... | Paul is strong. | contradiction | (![X]:((quiet(X)|patient(X))<=>~strong(X)))&
(((~humble(susan)|~funny(susan)))<=>((~calm(fred)|~brave(fred))))&
(((~happy(alice)&~calm(alice)))<=>(?[X]:((old(X)&generous(X)))))&
(![X]:((old(X)|wise(X))=>(~brave(X)&happy(X))))&
(![X]:((~brave(X)|~funny(X))<=>(strong(X)|brave(X))))&
((?[X]:((~brave(X)|brave(X))))=>((old(... | strong(paul) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5666334904308677152776139
% SZS output start Proof for 5666334904308677152776139
1. ! [X0] : ((patient(X0) | quiet(X0)) <=> ~strong(X0)) [input p0]
21. ~generous(paul) & quiet(paul) [input p20]
25. strong(paul) [input hypothesis]
34. ! [X0] : (((patient(X0) | quiet(X0)) | strong(X0)) & (~... | 0 |
If alice is both not kind and not tall then someone is kind or not calm and vice versa.
If someone is not calm then someone is strong or kind and vice versa.
If someone is either patient or not old then mary is not kind.
If someone is not funny or not wise then someone is both old and not old.
If someone is not quiet t... | Susan is not wise. | contradiction | (((~kind(alice)&~tall(alice)))<=>(?[X]:((kind(X)|~calm(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:((strong(X)|kind(X)))))&
((?[X]:((patient(X)<~>~old(X))))=>(~kind(mary)))&
((?[X]:((~funny(X)|~wise(X))))=>(?[X]:((old(X)&~old(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:(patient(X))))&
(![X]:(brave(X)=>(~patient(X)&~tall(X))))&
(((patien... | ~wise(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 471422942796839018357799
% SZS output start Proof for 471422942796839018357799
4. ? [X0] : (~wise(X0) | ~funny(X0)) => ? [X0] : (~old(X0) & old(X0)) [input p3]
22. ~wise(susan) [input hypothesis]
24. ? [X0] : (~wise(X0) | ~funny(X0)) => ? [X1] : (~old(X1) & old(X1)) [rectify 4]
35. ? [X1]... | 0 |
Everyone who is happy is both old and not generous.
Everyone who is not funny is both curious and not humble and vice versa.
If lucy is either old or not calm then susan is either not quiet or calm.
If someone is old or not rich then someone is both not quiet and not tall.
If someone is both not patient and tall then f... | Alice is not old. | contradiction | (![X]:(happy(X)=>(old(X)&~generous(X))))&
(![X]:(~funny(X)<=>(curious(X)&~humble(X))))&
(((old(lucy)<~>~calm(lucy)))=>((~quiet(susan)<~>calm(susan))))&
((?[X]:((old(X)|~rich(X))))=>(?[X]:((~quiet(X)&~tall(X)))))&
((?[X]:((~patient(X)&tall(X))))=>((~generous(fred)|~wise(fred))))&
(![X]:(~patient(X)<=>(rich(X)<~>~patient... | ~old(alice) | [
"p1",
"p5",
"p7",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7503481078553391885707009
% SZS output start Proof for 7503481078553391885707009
2. ! [X0] : (~funny(X0) <=> (~humble(X0) & curious(X0))) [input p1]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~patient(X0))) [input p5]
8. ! [X0] : ((funny(X0) <~> calm(X0)) <=> (~old(X0) & tall(X0))) [inpu... | 0 |
If someone is either funny or old then susan is both not old and not quiet.
If mary is both not generous and not tall then someone is either wise or strong.
Everyone who is tall or quiet is either not kind or not rich.
Everyone who is either humble or not wise is either calm or not quiet and vice versa.
If someone is h... | Fred is calm. | entailment | ((?[X]:((funny(X)<~>old(X))))=>((~old(susan)&~quiet(susan))))&
(((~generous(mary)&~tall(mary)))=>(?[X]:((wise(X)<~>strong(X)))))&
(![X]:((tall(X)|quiet(X))=>(~kind(X)<~>~rich(X))))&
(![X]:((humble(X)<~>~wise(X))<=>(calm(X)<~>~quiet(X))))&
((?[X]:(humble(X)))=>((calm(fred)&rich(fred))))&
(![X]:((rich(X)|strong(X))=>(pat... | calm(fred) | [
"p4",
"p6",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1168571679871586303213165
% SZS output start Proof for 1168571679871586303213165
5. ? [X0] : humble(X0) => (rich(fred) & calm(fred)) [input p4]
7. ? [X0] : (calm(X0) | happy(X0)) => ? [X0] : (~calm(X0) & ~wise(X0)) [input p6]
8. ! [X0] : ((~happy(X0) | ~calm(X0)) => ~kind(X0)) [input p7]
... | 0 |
If someone is both curious and kind then alice is both not wise and not calm.
If mary is either not calm or old then fred is both not kind and funny and vice versa.
Everyone who is not funny or not wise is both curious and not generous.
Everyone who is either not funny or creative is not tall and vice versa.
If someone... | John is not patient. | contradiction | ((?[X]:((curious(X)&kind(X))))=>((~wise(alice)&~calm(alice))))&
(((~calm(mary)<~>old(mary)))<=>((~kind(fred)&funny(fred))))&
(![X]:((~funny(X)|~wise(X))=>(curious(X)&~generous(X))))&
(![X]:((~funny(X)<~>creative(X))<=>~tall(X)))&
((?[X]:((~old(X)&~kind(X))))<=>((creative(paul)<~>wise(paul))))&
((?[X]:(~old(X)))<=>((old... | ~patient(john) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8491050945477653412671603
% SZS output start Proof for 8491050945477653412671603
10. ! [X0] : ((patient(X0) <~> ~tall(X0)) <=> (creative(X0) | patient(X0))) [input p9]
13. ! [X0] : (patient(X0) <=> (~tall(X0) | ~creative(X0))) [input p12]
23. ~patient(john) [input hypothesis]
50. ! [X0] :... | 0 |
If someone is either not generous or generous then mary is brave or not brave and vice versa.
Everyone who is either not brave or not creative is either wise or rich and vice versa.
Everyone who is not wise is happy or not creative and vice versa.
Everyone who is brave is not calm or rich and vice versa.
Everyone who i... | Paul is creative. | contradiction | ((?[X]:((~generous(X)<~>generous(X))))<=>((brave(mary)|~brave(mary))))&
(![X]:((~brave(X)<~>~creative(X))<=>(wise(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(happy(X)|~creative(X))))&
(![X]:(brave(X)<=>(~calm(X)|rich(X))))&
(![X]:((~creative(X)|~brave(X))<=>(wise(X)|funny(X))))&
((~quiet(fred))<=>(rich(paul)))&
(![X]:((patient... | creative(paul) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6814486047276155431645581
% SZS output start Proof for 6814486047276155431645581
2. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (wise(X0) <~> rich(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (~creative(X0) | happy(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (rich(X0) | ~calm(X0))) [input... | 0 |
Everyone who is not calm or not tall is tall and vice versa.
Everyone who is kind is either kind or happy and vice versa.
If someone is both kind and calm then someone is calm or quiet and vice versa.
Everyone who is not old is both old and funny and vice versa.
Everyone who is creative is both rich and not quiet and v... | Lucy is not patient. | neutral | (![X]:((~calm(X)|~tall(X))<=>tall(X)))&
(![X]:(kind(X)<=>(kind(X)<~>happy(X))))&
((?[X]:((kind(X)&calm(X))))<=>(?[X]:((calm(X)|quiet(X)))))&
(![X]:(~old(X)<=>(old(X)&funny(X))))&
(![X]:(creative(X)<=>(rich(X)&~quiet(X))))&
((~rich(alice))=>(?[X]:(~creative(X))))&
((?[X]:((~calm(X)<~>~kind(X))))<=>(?[X]:((~patient(X)<~>... | ~patient(lucy) | [] | null | 0 |
Everyone who is either tall or quiet is either wise or not creative and vice versa.
Everyone who is either old or strong is strong and vice versa.
Everyone who is not curious or not creative is patient or not generous and vice versa.
Everyone who is rich or patient is not funny.
Everyone who is both not wise and not ge... | Lucy is not happy. | entailment | (![X]:((tall(X)<~>quiet(X))<=>(wise(X)<~>~creative(X))))&
(![X]:((old(X)<~>strong(X))<=>strong(X)))&
(![X]:((~curious(X)|~creative(X))<=>(patient(X)|~generous(X))))&
(![X]:((rich(X)|patient(X))=>~funny(X)))&
(![X]:((~wise(X)&~generous(X))<=>funny(X)))&
(![X]:((~rich(X)<~>humble(X))=>(~tall(X)&quiet(X))))&
((?[X]:((crea... | ~happy(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1286282818280211330861737
% SZS output start Proof for 1286282818280211330861737
2. ! [X0] : ((old(X0) <~> strong(X0)) <=> strong(X0)) [input p1]
3. ! [X0] : ((~creative(X0) | ~curious(X0)) <=> (~generous(X0) | patient(X0))) [input p2]
5. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> funny(X0... | 0 |
Everyone who is both not humble and not creative is both not patient and not kind and vice versa.
Everyone who is brave is not quiet or not rich.
Everyone who is either quiet or rich is not creative.
Everyone who is both not humble and creative is curious or humble and vice versa.
Everyone who is wise is old or not hum... | Paul is not quiet. | entailment | (![X]:((~humble(X)&~creative(X))<=>(~patient(X)&~kind(X))))&
(![X]:(brave(X)=>(~quiet(X)|~rich(X))))&
(![X]:((quiet(X)<~>rich(X))=>~creative(X)))&
(![X]:((~humble(X)&creative(X))<=>(curious(X)|humble(X))))&
(![X]:(wise(X)=>(old(X)|~humble(X))))&
(![X]:(happy(X)=>strong(X)))&
(![X]:((tall(X)<~>~kind(X))=>~funny(X)))&
((... | ~quiet(paul) | [
"p0",
"p2",
"p3",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8859350079109607780321294
% SZS output start Proof for 8859350079109607780321294
1. ! [X0] : ((~creative(X0) & ~humble(X0)) <=> (~kind(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((quiet(X0) <~> rich(X0)) => ~creative(X0)) [input p2]
4. ! [X0] : ((creative(X0) & ~humble(X0)) <=> (humble(X... | 0 |
If alice is curious or generous then someone is both patient and quiet. Everyone who is wise or rich is patient and vice versa. If mary is either funny or not patient then lucy is either not tall or kind. Everyone who is not rich is funny. Everyone who is either humble or brave is not happy. If john is either not curio... | Alice is rich. | entailment | (((curious(alice)|generous(alice)))=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:((wise(X)|rich(X))<=>patient(X)))&
(((funny(mary)<~>~patient(mary)))=>((~tall(lucy)<~>kind(lucy))))&
(![X]:(~rich(X)=>funny(X)))&
(![X]:((humble(X)<~>brave(X))=>~happy(X)))&
(((~curious(john)<~>creative(john)))<=>((calm(susan)&tall(susan))))&
(... | rich(alice) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7446229972593387435623598
% SZS output start Proof for 7446229972593387435623598
4. ! [X0] : (~rich(X0) => funny(X0)) [input p3]
12. ! [X0] : ((~humble(X0) | funny(X0)) => (kind(X0) & ~kind(X0))) [input p11]
21. ~rich(alice) [input hypothesis]
29. ! [X0] : (funny(X0) | rich(X0)) [ennf tra... | 0 |
Everyone who is either kind or creative is curious or not humble. Everyone who is both calm and brave is curious or not happy. Everyone who is not funny or wise is curious or not kind and vice versa. Everyone who is strong is both patient and not rich. If someone is both tall and patient then someone is not strong. Eve... | Paul is not kind. | contradiction | (![X]:((kind(X)<~>creative(X))=>(curious(X)|~humble(X))))&
(![X]:((calm(X)&brave(X))=>(curious(X)|~happy(X))))&
(![X]:((~funny(X)|wise(X))<=>(curious(X)|~kind(X))))&
(![X]:(strong(X)=>(patient(X)&~rich(X))))&
((?[X]:((tall(X)&patient(X))))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)|~humble(X))=>(~patient(X)&tall(X))))&
... | ~kind(paul) | [
"p3",
"p5",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7673591556650246577335997
% SZS output start Proof for 7673591556650246577335997
4. ! [X0] : (strong(X0) => (~rich(X0) & patient(X0))) [input p3]
6. ! [X0] : ((~humble(X0) | patient(X0)) => (tall(X0) & ~patient(X0))) [input p5]
8. ! [X0] : ((happy(X0) <~> strong(X0)) => (~happy(X0) <~> pa... | 0 |
If john is both strong and curious then someone is old and vice versa.
Everyone who is either rich or not humble is either not kind or not wise.
If someone is either not wise or wise then susan is not strong.
If someone is both curious and not funny then someone is both funny and not old.
Everyone who is humble is eith... | Alice is tall. | entailment | (((strong(john)&curious(john)))<=>(?[X]:(old(X))))&
(![X]:((rich(X)<~>~humble(X))=>(~kind(X)<~>~wise(X))))&
((?[X]:((~wise(X)<~>wise(X))))=>(~strong(susan)))&
((?[X]:((curious(X)&~funny(X))))=>(?[X]:((funny(X)&~old(X)))))&
(![X]:(humble(X)<=>(~brave(X)<~>~generous(X))))&
((?[X]:(creative(X)))<=>((~funny(alice)<~>~kind(... | tall(alice) | [
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7067431883315910496352174
% SZS output start Proof for 7067431883315910496352174
7. ? [X0] : (funny(X0) <~> ~patient(X0)) <=> (wise(paul) & generous(paul)) [input p6]
8. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> (old(X0) | ~patient(X0))) [input p7]
10. ! [X0] : ((patient(X0) | ~rich(X0)) <=> ... | 0 |
Everyone who is not curious or not kind is both not kind and not patient and vice versa.
If lucy is not funny then alice is both humble and tall and vice versa.
If lucy is not quiet or not strong then fred is not humble or patient.
If john is both not rich and not funny then john is strong.
If someone is both wise and ... | Paul is tall. | contradiction | (![X]:((~curious(X)|~kind(X))<=>(~kind(X)&~patient(X))))&
((~funny(lucy))<=>((humble(alice)&tall(alice))))&
(((~quiet(lucy)|~strong(lucy)))=>((~humble(fred)|patient(fred))))&
(((~rich(john)&~funny(john)))=>(strong(john)))&
((?[X]:((wise(X)&~kind(X))))<=>(~strong(fred)))&
(((~creative(lucy)|calm(lucy)))=>(?[X]:((~creati... | tall(paul) | [
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8488159586180176783199327
% SZS output start Proof for 8488159586180176783199327
10. ! [X0] : ((humble(X0) | tall(X0)) => humble(X0)) [input p9]
13. ! [X0] : ((generous(X0) <~> humble(X0)) <=> (generous(X0) & brave(X0))) [input p12]
21. ~generous(paul) | ~humble(paul) [input p20]
23. tall... | 0 |
If someone is either creative or not wise then someone is either not rich or funny and vice versa. If someone is not humble then someone is creative or not patient. Everyone who is not wise or quiet is both strong and funny. If john is both generous and quiet then someone is not happy or not creative and vice versa. If... | Lucy is not strong. | contradiction | ((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:((~rich(X)<~>funny(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((creative(X)|~patient(X)))))&
(![X]:((~wise(X)|quiet(X))=>(strong(X)&funny(X))))&
(((generous(john)&quiet(john)))<=>(?[X]:((~happy(X)|~creative(X)))))&
((~wise(mary))=>((tall(mary)&strong(mary))))&
(![X]:((quiet(X)&kind(X... | ~strong(lucy) | [
"p2",
"p3",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6427825528403302055837988
% SZS output start Proof for 6427825528403302055837988
3. ! [X0] : ((quiet(X0) | ~wise(X0)) => (funny(X0) & strong(X0))) [input p2]
4. (quiet(john) & generous(john)) <=> ? [X0] : (~creative(X0) | ~happy(X0)) [input p3]
6. ! [X0] : ((kind(X0) & quiet(X0)) => (~str... | 0 |
If someone is creative or not kind then someone is not patient. Everyone who is not calm is brave. If john is both quiet and strong then someone is both quiet and not tall and vice versa. Everyone who is both not rich and not kind is curious. Everyone who is not curious is rich or not curious. Everyone who is not kind ... | Fred is calm. | entailment | ((?[X]:((creative(X)|~kind(X))))=>(?[X]:(~patient(X))))&
(![X]:(~calm(X)=>brave(X)))&
(((quiet(john)&strong(john)))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~rich(X)&~kind(X))=>curious(X)))&
(![X]:(~curious(X)=>(rich(X)|~curious(X))))&
(![X]:((~kind(X)|~wise(X))=>(~quiet(X)&tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((humb... | calm(fred) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3413415930610253518436854
% SZS output start Proof for 3413415930610253518436854
1. ? [X0] : (~kind(X0) | creative(X0)) => ? [X0] : ~patient(X0) [input p0]
2. ! [X0] : (~calm(X0) => brave(X0)) [input p1]
6. ! [X0] : ((~wise(X0) | ~kind(X0)) => (tall(X0) & ~quiet(X0))) [input p5]
7. ? [X0]... | 0 |
Everyone who is both tall and strong is either not curious or wise.
Everyone who is either not humble or not wise is either curious or not happy and vice versa.
Everyone who is either not strong or not tall is either calm or rich and vice versa.
If someone is both funny and strong then someone is not tall and vice vers... | Lucy is not curious. | entailment | (![X]:((tall(X)&strong(X))=>(~curious(X)<~>wise(X))))&
(![X]:((~humble(X)<~>~wise(X))<=>(curious(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(calm(X)<~>rich(X))))&
((?[X]:((funny(X)&strong(X))))<=>(?[X]:(~tall(X))))&
(((~generous(alice)|~rich(alice)))=>(?[X]:(strong(X))))&
(![X]:((~curious(X)&~old(X))<=>(creati... | ~curious(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2936526028345907758107534
% SZS output start Proof for 2936526028345907758107534
6. ! [X0] : ((~old(X0) & ~curious(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p5]
25. curious(lucy) [input hypothesis]
48. ! [X0] : (((~old(X0) & ~curious(X0)) | ((creative(X0) | creative(X0)) & (~creat... | 0 |
If someone is calm then someone is tall and vice versa.
Everyone who is either not curious or old is not wise.
Everyone who is either curious or not brave is kind or not strong and vice versa.
Everyone who is either not old or not quiet is rich.
Everyone who is humble is wise and vice versa.
Everyone who is brave or no... | Mary is not curious. | neutral | ((?[X]:(calm(X)))<=>(?[X]:(tall(X))))&
(![X]:((~curious(X)<~>old(X))=>~wise(X)))&
(![X]:((curious(X)<~>~brave(X))<=>(kind(X)|~strong(X))))&
(![X]:((~old(X)<~>~quiet(X))=>rich(X)))&
(![X]:(humble(X)<=>wise(X)))&
(![X]:((brave(X)|~calm(X))<=>(patient(X)<~>generous(X))))&
(![X]:((~strong(X)&~rich(X))<=>(strong(X)<~>funny(... | ~curious(mary) | [] | null | 0 |
Everyone who is either not curious or wise is both funny and not humble and vice versa. Everyone who is tall or brave is not kind. If someone is either generous or kind then alice is either strong or not strong. Everyone who is calm is funny. Everyone who is funny or not wise is either wise or quiet. Everyone who is ei... | Alice is tall. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(funny(X)&~humble(X))))&
(![X]:((tall(X)|brave(X))=>~kind(X)))&
((?[X]:((generous(X)<~>kind(X))))=>((strong(alice)<~>~strong(alice))))&
(![X]:(calm(X)=>funny(X)))&
(![X]:((funny(X)|~wise(X))=>(wise(X)<~>quiet(X))))&
(![X]:((brave(X)<~>old(X))<=>(humble(X)|~tall(X))))&
(![X]:((tall(X)<~>... | tall(alice) | [] | null | 0 |
Everyone who is brave or not patient is not generous. Everyone who is both brave and tall is calm or generous and vice versa. If someone is not quiet then fred is either not quiet or not calm. Everyone who is not curious or calm is not generous or old and vice versa. If lucy is either not old or not brave then someone ... | John is not tall. | contradiction | (![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((brave(X)&tall(X))<=>(calm(X)|generous(X))))&
((?[X]:(~quiet(X)))=>((~quiet(fred)<~>~calm(fred))))&
(![X]:((~curious(X)|calm(X))<=>(~generous(X)|old(X))))&
(((~old(lucy)<~>~brave(lucy)))=>(?[X]:((~humble(X)|~strong(X)))))&
(((~rich(susan)<~>happy(susan)))<=>(?[X]:((... | ~tall(john) | [
"p0",
"p1",
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5320393430895738541912120
% SZS output start Proof for 5320393430895738541912120
1. ! [X0] : ((~patient(X0) | brave(X0)) => ~generous(X0)) [input p0]
2. ! [X0] : ((tall(X0) & brave(X0)) <=> (generous(X0) | calm(X0))) [input p1]
4. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (old(X0) | ~genero... | 0 |
Everyone who is either not curious or rich is both brave and not happy and vice versa. Everyone who is funny or curious is not humble. Everyone who is calm or not generous is both not strong and humble and vice versa. If someone is both not kind and not happy then mary is funny or happy and vice versa. Everyone who is ... | Lucy is funny. | contradiction | (![X]:((~curious(X)<~>rich(X))<=>(brave(X)&~happy(X))))&
(![X]:((funny(X)|curious(X))=>~humble(X)))&
(![X]:((calm(X)|~generous(X))<=>(~strong(X)&humble(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((funny(mary)|happy(mary))))&
(![X]:((tall(X)&humble(X))=>patient(X)))&
(![X]:((~strong(X)&~creative(X))=>(calm(X)&tall(X))))&
(... | funny(lucy) | [
"p1",
"p2",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2849674257336048415486517
% SZS output start Proof for 2849674257336048415486517
2. ! [X0] : ((curious(X0) | funny(X0)) => ~humble(X0)) [input p1]
3. ! [X0] : ((~generous(X0) | calm(X0)) <=> (humble(X0) & ~strong(X0))) [input p2]
11. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (creative(X0... | 0 |
Everyone who is humble or not tall is either happy or not tall. If someone is not old or funny then someone is brave or patient and vice versa. Everyone who is either kind or generous is not funny or not kind and vice versa. Everyone who is patient or brave is quiet or curious. Everyone who is not curious is generous o... | Susan is quiet. | neutral | (![X]:((humble(X)|~tall(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((~old(X)|funny(X))))<=>(?[X]:((brave(X)|patient(X)))))&
(![X]:((kind(X)<~>generous(X))<=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~generous(X))))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[... | quiet(susan) | [] | null | 0 |
Everyone who is generous or not old is both not quiet and not old.
If someone is creative or not wise then susan is quiet or happy.
Everyone who is not creative is both kind and not rich and vice versa.
If someone is kind then someone is generous or humble.
If alice is either not wise or calm then alice is not strong.
... | Susan is not calm. | entailment | (![X]:((generous(X)|~old(X))=>(~quiet(X)&~old(X))))&
((?[X]:((creative(X)|~wise(X))))=>((quiet(susan)|happy(susan))))&
(![X]:(~creative(X)<=>(kind(X)&~rich(X))))&
((?[X]:(kind(X)))=>(?[X]:((generous(X)|humble(X)))))&
(((~wise(alice)<~>calm(alice)))=>(~strong(alice)))&
(((curious(alice)|~patient(alice)))=>(?[X]:((calm(X... | ~calm(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6821051234692721580154124
% SZS output start Proof for 6821051234692721580154124
13. ! [X0] : (calm(X0) => (kind(X0) & ~calm(X0))) [input p12]
23. calm(susan) [input hypothesis]
35. ! [X0] : ((kind(X0) & ~calm(X0)) | ~calm(X0)) [ennf transformation 13]
110. ~calm(X0) | ~calm(X0) [cnf tran... | 0 |
If lucy is strong then someone is calm and vice versa. Everyone who is not generous is not calm. Everyone who is patient or not calm is not old or old and vice versa. If john is both rich and not wise then someone is happy. Everyone who is both kind and not tall is tall. If someone is both not patient and quiet then ma... | Lucy is not strong. | contradiction | ((strong(lucy))<=>(?[X]:(calm(X))))&
(![X]:(~generous(X)=>~calm(X)))&
(![X]:((patient(X)|~calm(X))<=>(~old(X)|old(X))))&
(((rich(john)&~wise(john)))=>(?[X]:(happy(X))))&
(![X]:((kind(X)&~tall(X))=>tall(X)))&
((?[X]:((~patient(X)&quiet(X))))=>(generous(mary)))&
(((~curious(john)&humble(john)))<=>((~calm(john)&quiet(john... | ~strong(lucy) | [
"p0",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3829387122926769773692808
% SZS output start Proof for 3829387122926769773692808
1. strong(lucy) <=> ? [X0] : calm(X0) [input p0]
8. ! [X0] : ((wise(X0) | ~kind(X0)) <=> (~funny(X0) & calm(X0))) [input p7]
21. ? [X0] : (~wise(X0) <~> kind(X0)) [input p20]
25. ~strong(lucy) [input hypothes... | 0 |
If someone is either not patient or not creative then fred is both not curious and patient.
Everyone who is generous is both brave and patient.
Everyone who is curious or not rich is both not calm and curious.
Everyone who is both happy and not old is generous and vice versa.
If paul is not rich then alice is both stro... | Fred is creative. | contradiction | ((?[X]:((~patient(X)<~>~creative(X))))=>((~curious(fred)&patient(fred))))&
(![X]:(generous(X)=>(brave(X)&patient(X))))&
(![X]:((curious(X)|~rich(X))=>(~calm(X)&curious(X))))&
(![X]:((happy(X)&~old(X))<=>generous(X)))&
((~rich(paul))=>((strong(alice)&~rich(alice))))&
(![X]:((funny(X)<~>creative(X))=>(patient(X)|old(X)))... | creative(fred) | [
"p0",
"p2",
"p10",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7702428331769364717342831
% SZS output start Proof for 7702428331769364717342831
1. ? [X0] : (~patient(X0) <~> ~creative(X0)) => (patient(fred) & ~curious(fred)) [input p0]
3. ! [X0] : ((~rich(X0) | curious(X0)) => (curious(X0) & ~calm(X0))) [input p2]
11. ! [X0] : ((~creative(X0) <~> pat... | 0 |
Everyone who is both brave and not patient is either quiet or not curious.
Everyone who is both not rich and funny is not happy or brave and vice versa.
Everyone who is either brave or not happy is humble or generous and vice versa.
Everyone who is both old and funny is happy.
If paul is strong then someone is both not... | John is humble. | neutral | (![X]:((brave(X)&~patient(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((~rich(X)&funny(X))<=>(~happy(X)|brave(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(humble(X)|generous(X))))&
(![X]:((old(X)&funny(X))=>happy(X)))&
((strong(paul))<=>(?[X]:((~calm(X)&~quiet(X)))))&
(((kind(fred)<~>calm(fred)))<=>((~brave(mary)&~happy(mary))))... | humble(john) | [] | null | 0 |
If alice is wise then lucy is either brave or not curious.
Everyone who is not tall is not patient or not old and vice versa.
Everyone who is both not strong and not calm is either quiet or not humble and vice versa.
If john is either not generous or kind then lucy is either not happy or not funny.
If someone is calm t... | Lucy is not happy. | neutral | ((wise(alice))=>((brave(lucy)<~>~curious(lucy))))&
(![X]:(~tall(X)<=>(~patient(X)|~old(X))))&
(![X]:((~strong(X)&~calm(X))<=>(quiet(X)<~>~humble(X))))&
(((~generous(john)<~>kind(john)))=>((~happy(lucy)<~>~funny(lucy))))&
((?[X]:(calm(X)))<=>(?[X]:((~curious(X)|~generous(X)))))&
(![X]:(~quiet(X)<=>(rich(X)|~strong(X))))... | ~happy(lucy) | [] | null | 0 |
If someone is either not creative or not patient then mary is both happy and brave and vice versa.
Everyone who is both not quiet and not old is not quiet or not humble.
Everyone who is either calm or not funny is not generous or tall and vice versa.
If someone is strong or not brave then paul is both brave and not hum... | Fred is not curious. | contradiction | ((?[X]:((~creative(X)<~>~patient(X))))<=>((happy(mary)&brave(mary))))&
(![X]:((~quiet(X)&~old(X))=>(~quiet(X)|~humble(X))))&
(![X]:((calm(X)<~>~funny(X))<=>(~generous(X)|tall(X))))&
((?[X]:((strong(X)|~brave(X))))=>((brave(paul)&~humble(paul))))&
(![X]:(kind(X)=>(calm(X)|~patient(X))))&
((?[X]:((~patient(X)|happy(X))))... | ~curious(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2002722101474671074958167
% SZS output start Proof for 2002722101474671074958167
18. curious(fred) & old(fred) [input p17]
22. ~curious(fred) [input hypothesis]
129. curious(fred) [cnf transformation 18]
135. ~curious(fred) [cnf transformation 22]
329. $false [subsumption resolution 135,1... | 0 |
Everyone who is both funny and not curious is patient and vice versa.
Everyone who is not patient is happy and vice versa.
Everyone who is either brave or not patient is either tall or not humble.
If fred is not patient then someone is either not brave or not wise and vice versa.
Everyone who is either not brave or not... | Alice is patient. | contradiction | (![X]:((funny(X)&~curious(X))<=>patient(X)))&
(![X]:(~patient(X)<=>happy(X)))&
(![X]:((brave(X)<~>~patient(X))=>(tall(X)<~>~humble(X))))&
((~patient(fred))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((~brave(X)<~>~patient(X))<=>(happy(X)&rich(X))))&
(![X]:(generous(X)=>(~kind(X)<~>tall(X))))&
(![X]:((tall(X)<~>~tall(X))... | patient(alice) | [
"p0",
"p1",
"p4",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1096530165092293331215439
% SZS output start Proof for 1096530165092293331215439
1. ! [X0] : ((~curious(X0) & funny(X0)) <=> patient(X0)) [input p0]
2. ! [X0] : (~patient(X0) <=> happy(X0)) [input p1]
5. ! [X0] : ((~brave(X0) <~> ~patient(X0)) <=> (rich(X0) & happy(X0))) [input p4]
12. ! ... | 0 |
If fred is not wise then alice is not strong or not humble. If someone is both tall and not happy then mary is either happy or curious and vice versa. If fred is not funny then mary is either not tall or not strong and vice versa. Everyone who is both funny and not happy is not old or rich and vice versa. Everyone who ... | Paul is funny. | contradiction | ((~wise(fred))=>((~strong(alice)|~humble(alice))))&
((?[X]:((tall(X)&~happy(X))))<=>((happy(mary)<~>curious(mary))))&
((~funny(fred))<=>((~tall(mary)<~>~strong(mary))))&
(![X]:((funny(X)&~happy(X))<=>(~old(X)|rich(X))))&
(![X]:((humble(X)|~patient(X))<=>(rich(X)<~>brave(X))))&
(![X]:((creative(X)|strong(X))<=>(~curious... | funny(paul) | [
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6760910305346544426267793
% SZS output start Proof for 6760910305346544426267793
10. ! [X0] : (strong(X0) <=> (quiet(X0) | happy(X0))) [input p9]
14. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (quiet(X0) | ~calm(X0))) [input p13]
19. ~funny(paul) | quiet(paul) [input p18]
25. funny(paul) [inp... | 0 |
Everyone who is both old and not creative is strong and vice versa.
If lucy is patient or not brave then someone is either not happy or old and vice versa.
If someone is both not happy and not humble then someone is not happy or humble and vice versa.
Everyone who is not humble is not calm or not funny.
If someone is n... | Mary is tall. | entailment | (![X]:((old(X)&~creative(X))<=>strong(X)))&
(((patient(lucy)|~brave(lucy)))<=>(?[X]:((~happy(X)<~>old(X)))))&
((?[X]:((~happy(X)&~humble(X))))<=>(?[X]:((~happy(X)|humble(X)))))&
(![X]:(~humble(X)=>(~calm(X)|~funny(X))))&
((?[X]:((~humble(X)|~happy(X))))=>(?[X]:(brave(X))))&
((?[X]:((happy(X)<~>funny(X))))<=>(?[X]:((~cu... | tall(mary) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6398933355827502810790037
% SZS output start Proof for 6398933355827502810790037
7. ! [X0] : (funny(X0) => (~tall(X0) & tall(X0))) [input p6]
17. tall(mary) | funny(mary) [input p16]
24. ~tall(mary) [input hypothesis]
33. ! [X0] : ((~tall(X0) & tall(X0)) | ~funny(X0)) [ennf transformation... | 0 |
If alice is not brave or strong then mary is not curious or not happy.
Everyone who is creative is both not creative and not tall and vice versa.
If lucy is not wise then someone is both patient and generous.
If paul is either kind or not quiet then fred is funny.
Everyone who is kind or generous is generous.
Everyone ... | Lucy is not creative. | entailment | (((~brave(alice)|strong(alice)))=>((~curious(mary)|~happy(mary))))&
(![X]:(creative(X)<=>(~creative(X)&~tall(X))))&
((~wise(lucy))=>(?[X]:((patient(X)&generous(X)))))&
(((kind(paul)<~>~quiet(paul)))=>(funny(fred)))&
(![X]:((kind(X)|generous(X))=>generous(X)))&
(![X]:(~old(X)<=>~funny(X)))&
(![X]:((~old(X)&curious(X))=>... | ~creative(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4584781830465400485273350
% SZS output start Proof for 4584781830465400485273350
2. ! [X0] : (creative(X0) <=> (~tall(X0) & ~creative(X0))) [input p1]
21. creative(lucy) [input hypothesis]
37. ! [X0] : ((creative(X0) | (tall(X0) | creative(X0))) & ((~tall(X0) & ~creative(X0)) | ~creative(... | 0 |
Everyone who is either old or calm is creative or happy.
Everyone who is either old or not generous is not tall or not rich.
If paul is both brave and not generous then john is not curious and vice versa.
If someone is not funny then mary is not generous or not curious.
If someone is brave or not quiet then fred is bot... | Paul is not brave. | entailment | (![X]:((old(X)<~>calm(X))=>(creative(X)|happy(X))))&
(![X]:((old(X)<~>~generous(X))=>(~tall(X)|~rich(X))))&
(((brave(paul)&~generous(paul)))<=>(~curious(john)))&
((?[X]:(~funny(X)))=>((~generous(mary)|~curious(mary))))&
((?[X]:((brave(X)|~quiet(X))))<=>((~patient(fred)&~happy(fred))))&
(![X]:((rich(X)|~old(X))=>(~wise(... | ~brave(paul) | [
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3080673889719868982858152
% SZS output start Proof for 3080673889719868982858152
5. ? [X0] : (~quiet(X0) | brave(X0)) <=> (~happy(fred) & ~patient(fred)) [input p4]
8. ! [X0] : ((~kind(X0) <~> kind(X0)) => (~wise(X0) & ~rich(X0))) [input p7]
15. ! [X0] : ((patient(X0) & funny(X0)) <=> ~ri... | 0 |
Everyone who is brave is both not patient and not curious. If lucy is not happy then john is either not patient or not rich and vice versa. Everyone who is either curious or not rich is either funny or not quiet and vice versa. Everyone who is not calm or not quiet is strong or not calm. If lucy is not wise then someon... | Susan is quiet. | neutral | (![X]:(brave(X)=>(~patient(X)&~curious(X))))&
((~happy(lucy))<=>((~patient(john)<~>~rich(john))))&
(![X]:((curious(X)<~>~rich(X))<=>(funny(X)<~>~quiet(X))))&
(![X]:((~calm(X)|~quiet(X))=>(strong(X)|~calm(X))))&
((~wise(lucy))=>(?[X]:((~brave(X)|~curious(X)))))&
(![X]:((funny(X)<~>~happy(X))<=>wise(X)))&
((?[X]:(~wise(X... | quiet(susan) | [] | null | 0 |
Everyone who is happy is wise. Everyone who is either not calm or not curious is both not old and not happy. Everyone who is quiet is both brave and not quiet. If susan is not humble or not strong then susan is brave or not curious and vice versa. If someone is not wise then someone is both brave and quiet and vice ver... | John is wise. | entailment | (![X]:(happy(X)=>wise(X)))&
(![X]:((~calm(X)<~>~curious(X))=>(~old(X)&~happy(X))))&
(![X]:(quiet(X)=>(brave(X)&~quiet(X))))&
(((~humble(susan)|~strong(susan)))<=>((brave(susan)|~curious(susan))))&
((?[X]:(~wise(X)))<=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((~calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((?[X]:((old(X)&pati... | wise(john) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6477740202047960941744787
% SZS output start Proof for 6477740202047960941744787
3. ! [X0] : (quiet(X0) => (~quiet(X0) & brave(X0))) [input p2]
5. ? [X0] : ~wise(X0) <=> ? [X0] : (quiet(X0) & brave(X0)) [input p4]
22. ~wise(john) [input hypothesis]
23. ? [X0] : ~wise(X0) <=> ? [X1] : (qui... | 0 |
Everyone who is either not calm or not generous is kind or not strong and vice versa.
Everyone who is both rich and not generous is either kind or curious and vice versa.
Everyone who is not calm is not creative or strong and vice versa.
Everyone who is both not old and not patient is not funny and vice versa.
Everyone... | Fred is not wise. | neutral | (![X]:((~calm(X)<~>~generous(X))<=>(kind(X)|~strong(X))))&
(![X]:((rich(X)&~generous(X))<=>(kind(X)<~>curious(X))))&
(![X]:(~calm(X)<=>(~creative(X)|strong(X))))&
(![X]:((~old(X)&~patient(X))<=>~funny(X)))&
(![X]:((~brave(X)&~curious(X))<=>(curious(X)&funny(X))))&
(((~rich(john)|~generous(john)))<=>(?[X]:((~wise(X)<~>~... | ~wise(fred) | [] | null | 0 |
Everyone who is both old and rich is both quiet and kind. Everyone who is funny is happy or not humble. If someone is either not rich or brave then someone is either not strong or generous and vice versa. Everyone who is both humble and not funny is either curious or not quiet. If mary is old or tall then lucy is eithe... | Paul is calm. | neutral | (![X]:((old(X)&rich(X))=>(quiet(X)&kind(X))))&
(![X]:(funny(X)=>(happy(X)|~humble(X))))&
((?[X]:((~rich(X)<~>brave(X))))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:((humble(X)&~funny(X))=>(curious(X)<~>~quiet(X))))&
(((old(mary)|tall(mary)))<=>((~generous(lucy)<~>tall(lucy))))&
(![X]:((~happy(X)|kind(X))<=>(creative... | calm(paul) | [] | null | 0 |
Everyone who is not creative or not generous is either not brave or not curious and vice versa. Everyone who is both not funny and quiet is not strong or funny and vice versa. Everyone who is not brave or humble is happy or brave. If someone is either not humble or quiet then someone is humble or happy and vice versa. ... | Paul is happy. | entailment | (![X]:((~creative(X)|~generous(X))<=>(~brave(X)<~>~curious(X))))&
(![X]:((~funny(X)&quiet(X))<=>(~strong(X)|funny(X))))&
(![X]:((~brave(X)|humble(X))=>(happy(X)|brave(X))))&
((?[X]:((~humble(X)<~>quiet(X))))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:((quiet(X)&~curious(X))<=>(~rich(X)&~kind(X))))&
(![X]:((~wise(X)|funny(... | happy(paul) | [
"p1",
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3045668127893862702355414
% SZS output start Proof for 3045668127893862702355414
2. ! [X0] : ((quiet(X0) & ~funny(X0)) <=> (funny(X0) | ~strong(X0))) [input p1]
3. ! [X0] : ((humble(X0) | ~brave(X0)) => (brave(X0) | happy(X0))) [input p2]
6. ! [X0] : ((funny(X0) | ~wise(X0)) <=> (~brave(X... | 0 |
If someone is calm or not wise then someone is happy or not brave.
Everyone who is not patient is either not curious or not quiet.
Everyone who is both curious and tall is both wise and tall.
Everyone who is either not quiet or not patient is either not strong or quiet.
Everyone who is not rich or happy is both strong ... | John is quiet. | entailment | ((?[X]:((calm(X)|~wise(X))))=>(?[X]:((happy(X)|~brave(X)))))&
(![X]:(~patient(X)=>(~curious(X)<~>~quiet(X))))&
(![X]:((curious(X)&tall(X))=>(wise(X)&tall(X))))&
(![X]:((~quiet(X)<~>~patient(X))=>(~strong(X)<~>quiet(X))))&
(![X]:((~rich(X)|happy(X))=>(strong(X)&patient(X))))&
(![X]:((happy(X)|~curious(X))=>(~curious(X)|... | quiet(john) | [
"p3",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3309971201065375260705437
% SZS output start Proof for 3309971201065375260705437
4. ! [X0] : ((~quiet(X0) <~> ~patient(X0)) => (~strong(X0) <~> quiet(X0))) [input p3]
5. ! [X0] : ((happy(X0) | ~rich(X0)) => (patient(X0) & strong(X0))) [input p4]
10. rich(john) => (strong(susan) & ~strong(... | 0 |
If someone is either not kind or not calm then paul is both humble and tall and vice versa. Everyone who is both tall and calm is both not calm and funny. If someone is not generous then someone is either curious or not tall and vice versa. Everyone who is old or wise is both not tall and rich and vice versa. If fred i... | Mary is not calm. | neutral | ((?[X]:((~kind(X)<~>~calm(X))))<=>((humble(paul)&tall(paul))))&
(![X]:((tall(X)&calm(X))=>(~calm(X)&funny(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:((old(X)|wise(X))<=>(~tall(X)&rich(X))))&
(((~creative(fred)<~>~old(fred)))<=>(?[X]:((tall(X)|brave(X)))))&
((?[X]:(strong(X)))<=>(~generous(... | ~calm(mary) | [] | null | 0 |
Everyone who is either not strong or not curious is not calm and vice versa.
Everyone who is not generous is rich and vice versa.
If susan is either not wise or not kind then lucy is both brave and rich.
If susan is either generous or not strong then fred is not tall or happy and vice versa.
Everyone who is not generou... | Paul is patient. | neutral | (![X]:((~strong(X)<~>~curious(X))<=>~calm(X)))&
(![X]:(~generous(X)<=>rich(X)))&
(((~wise(susan)<~>~kind(susan)))=>((brave(lucy)&rich(lucy))))&
(((generous(susan)<~>~strong(susan)))<=>((~tall(fred)|happy(fred))))&
(![X]:(~generous(X)=>calm(X)))&
((?[X]:((generous(X)<~>rich(X))))<=>(?[X]:((~funny(X)<~>~humble(X)))))&
(!... | patient(paul) | [] | null | 0 |
If someone is not strong then alice is funny or curious.
Everyone who is not curious is wise.
If someone is brave then john is either not calm or not tall.
Everyone who is both strong and curious is not calm or wise.
If john is not calm then someone is either patient or wise and vice versa.
If paul is quiet or old then... | Lucy is not quiet. | neutral | ((?[X]:(~strong(X)))=>((funny(alice)|curious(alice))))&
(![X]:(~curious(X)=>wise(X)))&
((?[X]:(brave(X)))=>((~calm(john)<~>~tall(john))))&
(![X]:((strong(X)&curious(X))=>(~calm(X)|wise(X))))&
((~calm(john))<=>(?[X]:((patient(X)<~>wise(X)))))&
(((quiet(paul)|old(paul)))=>(?[X]:((~wise(X)&~funny(X)))))&
(![X]:((brave(X)|... | ~quiet(lucy) | [] | null | 0 |
Everyone who is either not quiet or patient is either not brave or not old. Everyone who is both tall and not quiet is not curious or not tall and vice versa. If someone is not happy then someone is calm or not happy. Everyone who is brave is wise and vice versa. If john is both not creative and patient then someone is... | Paul is not curious. | contradiction | (![X]:((~quiet(X)<~>patient(X))=>(~brave(X)<~>~old(X))))&
(![X]:((tall(X)&~quiet(X))<=>(~curious(X)|~tall(X))))&
((?[X]:(~happy(X)))=>(?[X]:((calm(X)|~happy(X)))))&
(![X]:(brave(X)<=>wise(X)))&
(((~creative(john)&patient(john)))=>(?[X]:((~rich(X)|generous(X)))))&
(((~calm(john)<~>~rich(john)))=>(?[X]:(~creative(X))))&
... | ~curious(paul) | [
"p1",
"p3",
"p11",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8735013456695634927256994
% SZS output start Proof for 8735013456695634927256994
2. ! [X0] : ((~quiet(X0) & tall(X0)) <=> (~tall(X0) | ~curious(X0))) [input p1]
4. ! [X0] : (brave(X0) <=> wise(X0)) [input p3]
12. ! [X0] : ((happy(X0) | ~humble(X0)) => (humble(X0) & ~rich(X0))) [input p11]... | 0 |
Everyone who is not old or patient is both rich and quiet. Everyone who is brave is both not curious and not kind and vice versa. If paul is not curious then susan is both kind and patient and vice versa. If mary is wise or not curious then someone is creative and vice versa. Everyone who is not funny or generous is hu... | John is patient. | entailment | (![X]:((~old(X)|patient(X))=>(rich(X)&quiet(X))))&
(![X]:(brave(X)<=>(~curious(X)&~kind(X))))&
((~curious(paul))<=>((kind(susan)&patient(susan))))&
(((wise(mary)|~curious(mary)))<=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>~tall(X)))&
(![X]:((~gen... | patient(john) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 338697335494159669170136
% SZS output start Proof for 338697335494159669170136
1. ! [X0] : ((patient(X0) | ~old(X0)) => (quiet(X0) & rich(X0))) [input p0]
5. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (~patient(X0) | humble(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | quiet(X0)) => ~tall... | 0 |
If susan is both wise and calm then someone is either happy or not calm.
Everyone who is generous or not old is both not quiet and not funny.
Everyone who is both not curious and tall is both patient and not kind and vice versa.
Everyone who is both not generous and tall is both not calm and not brave.
If fred is not c... | Susan is not tall. | neutral | (((wise(susan)&calm(susan)))=>(?[X]:((happy(X)<~>~calm(X)))))&
(![X]:((generous(X)|~old(X))=>(~quiet(X)&~funny(X))))&
(![X]:((~curious(X)&tall(X))<=>(patient(X)&~kind(X))))&
(![X]:((~generous(X)&tall(X))=>(~calm(X)&~brave(X))))&
(((~calm(fred)|~kind(fred)))<=>((tall(lucy)&~happy(lucy))))&
(![X]:(~tall(X)=>(strong(X)|ri... | ~tall(susan) | [] | null | 0 |
Everyone who is not calm is quiet or rich. Everyone who is both brave and not humble is both not humble and not quiet and vice versa. Everyone who is both kind and not creative is both not rich and not patient and vice versa. Everyone who is both not tall and not old is not calm and vice versa. If someone is both brave... | Susan is not rich. | neutral | (![X]:(~calm(X)=>(quiet(X)|rich(X))))&
(![X]:((brave(X)&~humble(X))<=>(~humble(X)&~quiet(X))))&
(![X]:((kind(X)&~creative(X))<=>(~rich(X)&~patient(X))))&
(![X]:((~tall(X)&~old(X))<=>~calm(X)))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((curious(X)<~>~kind(X)))))&
(![X]:((humble(X)<~>~old(X))<=>(~quiet(X)<~>~wise(X))))&
... | ~rich(susan) | [] | null | 0 |
Everyone who is either not generous or not old is not calm or not quiet.
If someone is both wise and not funny then someone is not rich.
If someone is both not humble and strong then john is either not funny or not curious and vice versa.
If someone is either not wise or wise then paul is strong and vice versa.
Everyon... | Lucy is strong. | entailment | (![X]:((~generous(X)<~>~old(X))=>(~calm(X)|~quiet(X))))&
((?[X]:((wise(X)&~funny(X))))=>(?[X]:(~rich(X))))&
((?[X]:((~humble(X)&strong(X))))<=>((~funny(john)<~>~curious(john))))&
((?[X]:((~wise(X)<~>wise(X))))<=>(strong(paul)))&
(![X]:((~old(X)|creative(X))<=>(rich(X)<~>kind(X))))&
(![X]:((creative(X)|old(X))<=>(strong... | strong(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7842118136624324598536556
% SZS output start Proof for 7842118136624324598536556
21. strong(lucy) [input p20]
24. ~strong(lucy) [input hypothesis]
126. strong(lucy) [cnf transformation 21]
131. ~strong(lucy) [cnf transformation 24]
238. 23 <=> strong(lucy) [avatar definition]
242. 23 [ava... | 0 |
If alice is either wise or creative then fred is both not strong and not happy and vice versa.
If alice is not quiet or rich then someone is both calm and not old and vice versa.
Everyone who is both patient and creative is both curious and not patient.
If someone is both tall and patient then someone is either not str... | Alice is not tall. | contradiction | (((wise(alice)<~>creative(alice)))<=>((~strong(fred)&~happy(fred))))&
(((~quiet(alice)|rich(alice)))<=>(?[X]:((calm(X)&~old(X)))))&
(![X]:((patient(X)&creative(X))=>(curious(X)&~patient(X))))&
((?[X]:((tall(X)&patient(X))))<=>(?[X]:((~strong(X)<~>~old(X)))))&
((?[X]:((~brave(X)&brave(X))))=>(?[X]:((quiet(X)&~generous(X... | ~tall(alice) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5324132566991541097811362
% SZS output start Proof for 5324132566991541097811362
7. ! [X0] : ((old(X0) | ~old(X0)) => (calm(X0) & ~brave(X0))) [input p6]
14. ! [X0] : (~tall(X0) => (~calm(X0) & strong(X0))) [input p13]
24. ~tall(alice) [input hypothesis]
34. ! [X0] : ((calm(X0) & ~brave(X... | 0 |
Everyone who is not calm is either humble or not quiet and vice versa.
If someone is either not quiet or humble then john is patient and vice versa.
If paul is either not funny or wise then someone is not curious and vice versa.
Everyone who is both not calm and generous is not strong and vice versa.
If fred is both no... | John is not creative. | entailment | (![X]:(~calm(X)<=>(humble(X)<~>~quiet(X))))&
((?[X]:((~quiet(X)<~>humble(X))))<=>(patient(john)))&
(((~funny(paul)<~>wise(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((~calm(X)&generous(X))<=>~strong(X)))&
(((~creative(fred)&~generous(fred)))<=>(?[X]:((~strong(X)&~humble(X)))))&
(![X]:(~wise(X)<=>(tall(X)|~creative(X))))&
(... | ~creative(john) | [
"p5",
"p7",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3247358479960736496235263
% SZS output start Proof for 3247358479960736496235263
6. ! [X0] : (~wise(X0) <=> (~creative(X0) | tall(X0))) [input p5]
8. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p7]
12. ! [X0] : ((~patient(X0) & ~quiet(X0)) => (old(X0) & ~tall(X0))) [input... | 0 |
Everyone who is quiet is not old and vice versa.
If john is both calm and not calm then lucy is not wise.
If someone is both not patient and kind then mary is either not calm or not wise.
Everyone who is not funny or not generous is both happy and brave.
Everyone who is kind or not wise is either not tall or not genero... | Mary is patient. | neutral | (![X]:(quiet(X)<=>~old(X)))&
(((calm(john)&~calm(john)))=>(~wise(lucy)))&
((?[X]:((~patient(X)&kind(X))))=>((~calm(mary)<~>~wise(mary))))&
(![X]:((~funny(X)|~generous(X))=>(happy(X)&brave(X))))&
(![X]:((kind(X)|~wise(X))=>(~tall(X)<~>~generous(X))))&
(![X]:(~humble(X)=>(strong(X)<~>creative(X))))&
(![X]:((kind(X)|~wise... | patient(mary) | [] | null | 0 |
Everyone who is either not creative or old is both not quiet and patient.
Everyone who is both not quiet and funny is old or not kind and vice versa.
If fred is not strong then susan is quiet.
If someone is both happy and not wise then someone is funny and vice versa.
If john is either not strong or humble then someone... | Fred is kind. | entailment | (![X]:((~creative(X)<~>old(X))=>(~quiet(X)&patient(X))))&
(![X]:((~quiet(X)&funny(X))<=>(old(X)|~kind(X))))&
((~strong(fred))=>(quiet(susan)))&
((?[X]:((happy(X)&~wise(X))))<=>(?[X]:(funny(X))))&
(((~strong(john)<~>humble(john)))<=>(?[X]:((~old(X)&calm(X)))))&
(((generous(lucy)&~brave(lucy)))=>(?[X]:((funny(X)<~>wise(X... | kind(fred) | [
"p1",
"p3",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8996834286099978042330372
% SZS output start Proof for 8996834286099978042330372
2. ! [X0] : ((funny(X0) & ~quiet(X0)) <=> (~kind(X0) | old(X0))) [input p1]
4. ? [X0] : (~wise(X0) & happy(X0)) <=> ? [X0] : funny(X0) [input p3]
7. ! [X0] : ((~tall(X0) & calm(X0)) <=> (~brave(X0) <~> ~humbl... | 0 |
If someone is not rich then someone is either not patient or wise.
Everyone who is not curious is not wise or happy and vice versa.
Everyone who is not wise is not quiet or not happy and vice versa.
Everyone who is patient or not patient is both generous and funny.
Everyone who is both patient and not strong is not cre... | Alice is quiet. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((~patient(X)<~>wise(X)))))&
(![X]:(~curious(X)<=>(~wise(X)|happy(X))))&
(![X]:(~wise(X)<=>(~quiet(X)|~happy(X))))&
(![X]:((patient(X)|~patient(X))=>(generous(X)&funny(X))))&
(![X]:((patient(X)&~strong(X))<=>(~creative(X)|~kind(X))))&
(((~kind(lucy)&~generous(lucy)))<=>(?[X]:((~patient(X)|crea... | quiet(alice) | [
"p3",
"p5",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4400347155084256725314640
% SZS output start Proof for 4400347155084256725314640
4. ! [X0] : ((~patient(X0) | patient(X0)) => (funny(X0) & generous(X0))) [input p3]
6. (~generous(lucy) & ~kind(lucy)) <=> ? [X0] : (creative(X0) | ~patient(X0)) [input p5]
9. ! [X0] : ((~brave(X0) <~> kind(X... | 0 |
If paul is not strong or not generous then fred is not patient and vice versa.
Everyone who is both not curious and humble is old or not rich and vice versa.
Everyone who is happy is not humble and vice versa.
Everyone who is generous or not creative is either not rich or calm.
If someone is either tall or not calm the... | Alice is not curious. | entailment | (((~strong(paul)|~generous(paul)))<=>(~patient(fred)))&
(![X]:((~curious(X)&humble(X))<=>(old(X)|~rich(X))))&
(![X]:(happy(X)<=>~humble(X)))&
(![X]:((generous(X)|~creative(X))=>(~rich(X)<~>calm(X))))&
((?[X]:((tall(X)<~>~calm(X))))=>(?[X]:((~generous(X)|~tall(X)))))&
(![X]:((creative(X)|~humble(X))=>(~funny(X)<~>old(X)... | ~curious(alice) | [
"p1",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6953941342327976045563212
% SZS output start Proof for 6953941342327976045563212
2. ! [X0] : ((humble(X0) & ~curious(X0)) <=> (~rich(X0) | old(X0))) [input p1]
8. ! [X0] : (calm(X0) => ~curious(X0)) [input p7]
10. ? [X0] : (~calm(X0) | ~old(X0)) <=> (old(john) & ~creative(john)) [input p9... | 0 |
If john is either rich or not patient then paul is either generous or calm and vice versa. If paul is both not old and humble then someone is both kind and brave and vice versa. Everyone who is both not brave and not tall is not curious. Everyone who is happy is both strong and not tall and vice versa. Everyone who is ... | Lucy is brave. | neutral | (((rich(john)<~>~patient(john)))<=>((generous(paul)<~>calm(paul))))&
(((~old(paul)&humble(paul)))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:((~brave(X)&~tall(X))=>~curious(X)))&
(![X]:(happy(X)<=>(strong(X)&~tall(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)<~>creative(X))))&
(![X]:((~calm(X)<~>~tall(X))<=>calm(X)))&
((?... | brave(lucy) | [] | null | 0 |
Everyone who is both funny and generous is patient or rich. Everyone who is both not strong and patient is not curious or curious. If someone is not rich or strong then someone is not generous or not happy and vice versa. Everyone who is not rich is not humble or curious. Everyone who is not calm or wise is wise. Every... | Paul is old. | neutral | (![X]:((funny(X)&generous(X))=>(patient(X)|rich(X))))&
(![X]:((~strong(X)&patient(X))=>(~curious(X)|curious(X))))&
((?[X]:((~rich(X)|strong(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~rich(X)=>(~humble(X)|curious(X))))&
(![X]:((~calm(X)|wise(X))=>wise(X)))&
(![X]:((funny(X)&~creative(X))<=>(creative(X)|~tall(X)... | old(paul) | [] | null | 0 |
If someone is not curious or patient then someone is both not strong and not rich and vice versa. Everyone who is either not humble or not old is happy or strong. Everyone who is not calm or patient is not kind and vice versa. Everyone who is not calm or generous is wise or funny. If someone is old then alice is patien... | Alice is wise. | neutral | ((?[X]:((~curious(X)|patient(X))))<=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:((~humble(X)<~>~old(X))=>(happy(X)|strong(X))))&
(![X]:((~calm(X)|patient(X))<=>~kind(X)))&
(![X]:((~calm(X)|generous(X))=>(wise(X)|funny(X))))&
((?[X]:(old(X)))=>((patient(alice)|~rich(alice))))&
(![X]:((wise(X)&funny(X))<=>(old(X)&~kind(X))))... | wise(alice) | [] | null | 0 |
If someone is not generous or tall then mary is calm or kind and vice versa.
Everyone who is both not creative and not funny is either wise or not wise and vice versa.
Everyone who is generous is either tall or not quiet and vice versa.
Everyone who is either patient or wise is funny.
Everyone who is creative or not wi... | Fred is not curious. | neutral | ((?[X]:((~generous(X)|tall(X))))<=>((calm(mary)|kind(mary))))&
(![X]:((~creative(X)&~funny(X))<=>(wise(X)<~>~wise(X))))&
(![X]:(generous(X)<=>(tall(X)<~>~quiet(X))))&
(![X]:((patient(X)<~>wise(X))=>funny(X)))&
(![X]:((creative(X)|~wise(X))=>(~strong(X)<~>~creative(X))))&
(((~tall(lucy)&~funny(lucy)))<=>(?[X]:((~wise(X)... | ~curious(fred) | [] | null | 0 |
If lucy is both funny and creative then mary is both kind and not creative and vice versa.
If john is tall then someone is not calm or not brave and vice versa.
If paul is either creative or not creative then john is not quiet and vice versa.
Everyone who is not patient is both not humble and not old.
If mary is either... | Susan is generous. | neutral | (((funny(lucy)&creative(lucy)))<=>((kind(mary)&~creative(mary))))&
((tall(john))<=>(?[X]:((~calm(X)|~brave(X)))))&
(((creative(paul)<~>~creative(paul)))<=>(~quiet(john)))&
(![X]:(~patient(X)=>(~humble(X)&~old(X))))&
(((~creative(mary)<~>~strong(mary)))=>(~strong(lucy)))&
(((calm(paul)|~kind(paul)))<=>((brave(lucy)&tall... | generous(susan) | [] | null | 0 |
Everyone who is generous or strong is wise and vice versa.
If mary is not old then someone is not funny or old.
If lucy is both happy and curious then someone is not generous and vice versa.
If someone is wise or not old then someone is happy or quiet.
Everyone who is either not kind or not patient is both old and happ... | Alice is calm. | contradiction | (![X]:((generous(X)|strong(X))<=>wise(X)))&
((~old(mary))=>(?[X]:((~funny(X)|old(X)))))&
(((happy(lucy)&curious(lucy)))<=>(?[X]:(~generous(X))))&
((?[X]:((wise(X)|~old(X))))=>(?[X]:((happy(X)|quiet(X)))))&
(![X]:((~kind(X)<~>~patient(X))=>(old(X)&happy(X))))&
((?[X]:((old(X)&rich(X))))<=>((~calm(susan)|happy(susan))))&... | calm(alice) | [
"p4",
"p7",
"p9",
"p10",
"p13",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8198721785355839462445771
% SZS output start Proof for 8198721785355839462445771
5. ! [X0] : ((~kind(X0) <~> ~patient(X0)) => (happy(X0) & old(X0))) [input p4]
8. (calm(alice) <~> generous(alice)) <=> ? [X0] : (generous(X0) | ~old(X0)) [input p7]
10. ! [X0] : ((old(X0) | ~funny(X0)) <=> (... | 0 |
Everyone who is calm is either not calm or not old.
Everyone who is not strong is funny and vice versa.
Everyone who is both quiet and not generous is not wise or brave and vice versa.
Everyone who is kind is not quiet.
If someone is not brave then someone is not calm or tall.
If someone is not rich then someone is bot... | John is quiet. | entailment | (![X]:(calm(X)=>(~calm(X)<~>~old(X))))&
(![X]:(~strong(X)<=>funny(X)))&
(![X]:((quiet(X)&~generous(X))<=>(~wise(X)|brave(X))))&
(![X]:(kind(X)=>~quiet(X)))&
((?[X]:(~brave(X)))=>(?[X]:((~calm(X)|tall(X)))))&
((?[X]:(~rich(X)))=>(?[X]:((brave(X)&kind(X)))))&
(![X]:((~happy(X)<~>~humble(X))<=>(~creative(X)&~humble(X))))&... | quiet(john) | [
"p2",
"p3",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7612025293854532878685777
% SZS output start Proof for 7612025293854532878685777
3. ! [X0] : ((~generous(X0) & quiet(X0)) <=> (brave(X0) | ~wise(X0))) [input p2]
4. ! [X0] : (kind(X0) => ~quiet(X0)) [input p3]
6. ? [X0] : ~rich(X0) => ? [X0] : (kind(X0) & brave(X0)) [input p5]
14. ! [X0] ... | 0 |
Everyone who is funny or not strong is not happy or not creative and vice versa.
If someone is both kind and old then someone is both happy and old.
Everyone who is not rich is strong and vice versa.
If someone is wise then someone is either tall or not calm and vice versa.
Everyone who is kind is both not wise and cal... | Mary is funny. | neutral | (![X]:((funny(X)|~strong(X))<=>(~happy(X)|~creative(X))))&
((?[X]:((kind(X)&old(X))))=>(?[X]:((happy(X)&old(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
((?[X]:(wise(X)))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(![X]:(kind(X)<=>(~wise(X)&calm(X))))&
(![X]:((~happy(X)&~wise(X))<=>(~quiet(X)&tall(X))))&
(![X]:((~brave(X)<~>~old(X))=... | funny(mary) | [] | null | 0 |
Everyone who is either strong or not generous is either not rich or happy.
Everyone who is not rich is both not tall and rich and vice versa.
Everyone who is either not tall or patient is curious or happy and vice versa.
If someone is humble or calm then alice is not kind.
If paul is happy or not strong then alice is b... | Alice is not humble. | contradiction | (![X]:((strong(X)<~>~generous(X))=>(~rich(X)<~>happy(X))))&
(![X]:(~rich(X)<=>(~tall(X)&rich(X))))&
(![X]:((~tall(X)<~>patient(X))<=>(curious(X)|happy(X))))&
((?[X]:((humble(X)|calm(X))))=>(~kind(alice)))&
(((happy(paul)|~strong(paul)))=>((strong(alice)&rich(alice))))&
((?[X]:((quiet(X)<~>brave(X))))=>(?[X]:((~funny(X)... | ~humble(alice) | [
"p1",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2873304362926078490954589
% SZS output start Proof for 2873304362926078490954589
2. ! [X0] : (~rich(X0) <=> (rich(X0) & ~tall(X0))) [input p1]
7. ! [X0] : (humble(X0) <=> (wise(X0) <~> ~tall(X0))) [input p6]
13. ! [X0] : ((~wise(X0) | quiet(X0)) <=> ~tall(X0)) [input p12]
24. ~humble(alic... | 0 |
Everyone who is either wise or old is either not quiet or happy.
If john is kind or patient then someone is not patient or curious.
Everyone who is strong or not calm is both calm and happy and vice versa.
If paul is not tall then someone is creative or not funny and vice versa.
Everyone who is rich or calm is quiet.
I... | Paul is not strong. | entailment | (![X]:((wise(X)<~>old(X))=>(~quiet(X)<~>happy(X))))&
(((kind(john)|patient(john)))=>(?[X]:((~patient(X)|curious(X)))))&
(![X]:((strong(X)|~calm(X))<=>(calm(X)&happy(X))))&
((~tall(paul))<=>(?[X]:((creative(X)|~funny(X)))))&
(![X]:((rich(X)|calm(X))=>quiet(X)))&
((?[X]:((rich(X)<~>~happy(X))))=>(?[X]:(patient(X))))&
(![... | ~strong(paul) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2578843086493072396930508
% SZS output start Proof for 2578843086493072396930508
3. ! [X0] : ((~calm(X0) | strong(X0)) <=> (happy(X0) & calm(X0))) [input p2]
21. ~happy(paul) & humble(paul) [input p20]
24. strong(paul) [input hypothesis]
47. ! [X0] : (((~calm(X0) | strong(X0)) | (~happy(X... | 0 |
Everyone who is not kind is both not rich and generous and vice versa.
Everyone who is not rich is not curious or happy.
If someone is funny then mary is both calm and not curious and vice versa.
If someone is calm or tall then lucy is not patient or happy and vice versa.
Everyone who is either patient or happy is both... | Lucy is happy. | entailment | (![X]:(~kind(X)<=>(~rich(X)&generous(X))))&
(![X]:(~rich(X)=>(~curious(X)|happy(X))))&
((?[X]:(funny(X)))<=>((calm(mary)&~curious(mary))))&
((?[X]:((calm(X)|tall(X))))<=>((~patient(lucy)|happy(lucy))))&
(![X]:((patient(X)<~>happy(X))=>(strong(X)&~rich(X))))&
(![X]:(curious(X)=>(humble(X)<~>quiet(X))))&
(![X]:((quiet(X)... | happy(lucy) | [
"p5",
"p6",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4844171676240402364977374
% SZS output start Proof for 4844171676240402364977374
6. ! [X0] : (curious(X0) => (humble(X0) <~> quiet(X0))) [input p5]
7. ! [X0] : ((strong(X0) | quiet(X0)) <=> (~curious(X0) & ~wise(X0))) [input p6]
8. (wise(lucy) | calm(lucy)) => (~tall(lucy) & happy(lucy)) ... | 0 |
Everyone who is not wise or not old is both rich and quiet.
Everyone who is not funny or not quiet is either funny or not old and vice versa.
If john is not strong or not old then someone is not rich or quiet and vice versa.
If someone is calm or rich then lucy is either not old or brave and vice versa.
If someone is e... | John is not brave. | neutral | (![X]:((~wise(X)|~old(X))=>(rich(X)&quiet(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(funny(X)<~>~old(X))))&
(((~strong(john)|~old(john)))<=>(?[X]:((~rich(X)|quiet(X)))))&
((?[X]:((calm(X)|rich(X))))<=>((~old(lucy)<~>brave(lucy))))&
((?[X]:((~humble(X)<~>~funny(X))))<=>((quiet(susan)&~old(susan))))&
((?[X]:((happy(X)&~funny... | ~brave(john) | [] | null | 0 |
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