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 |
|---|---|---|---|---|---|---|---|
If someone is quiet or humble then alice is wise and vice versa.
Everyone who is not old or patient is kind and vice versa.
Everyone who is both not wise and not humble is either not strong or not generous.
Everyone who is both not creative and quiet is both not creative and not quiet and vice versa.
If someone is eith... | Alice is funny. | contradiction | ((?[X]:((quiet(X)|humble(X))))<=>(wise(alice)))&
(![X]:((~old(X)|patient(X))<=>kind(X)))&
(![X]:((~wise(X)&~humble(X))=>(~strong(X)<~>~generous(X))))&
(![X]:((~creative(X)&quiet(X))<=>(~creative(X)&~quiet(X))))&
((?[X]:((creative(X)<~>~funny(X))))=>(~brave(susan)))&
(![X]:((generous(X)&~wise(X))<=>~happy(X)))&
(![X]:(h... | funny(alice) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 78348370361094254474
% SZS output start Proof for 78348370361094254474
4. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> (~quiet(X0) & ~creative(X0))) [input p3]
17. funny(alice) <~> creative(alice) [input p16]
24. funny(alice) [input hypothesis]
43. ! [X0] : (((quiet(X0) & ~creative(X0)) | (q... | 0 |
Everyone who is not wise or not patient is both not creative and old and vice versa.
Everyone who is both not rich and humble is either not patient or patient and vice versa.
If alice is creative or not happy then mary is either not patient or not generous and vice versa.
Everyone who is not calm or creative is both qu... | Mary is not old. | contradiction | (![X]:((~wise(X)|~patient(X))<=>(~creative(X)&old(X))))&
(![X]:((~rich(X)&humble(X))<=>(~patient(X)<~>patient(X))))&
(((creative(alice)|~happy(alice)))<=>((~patient(mary)<~>~generous(mary))))&
(![X]:((~calm(X)|creative(X))=>(quiet(X)&~happy(X))))&
((creative(alice))<=>(quiet(mary)))&
(![X]:((brave(X)<~>patient(X))<=>(~... | ~old(mary) | [
"p0",
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 910894187071031879861144
% SZS output start Proof for 910894187071031879861144
1. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (old(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((humble(X0) & ~rich(X0)) <=> (~patient(X0) <~> patient(X0))) [input p1]
7. ! [X0] : (~patient(X0) <=> (humble(X0) <... | 0 |
If alice is strong then lucy is either happy or rich.
If paul is not curious then john is patient and vice versa.
If paul is not strong or wise then someone is funny or humble.
If someone is not wise then someone is both tall and not generous and vice versa.
If someone is both wise and not tall then alice is not kind o... | Paul is wise. | neutral | ((strong(alice))=>((happy(lucy)<~>rich(lucy))))&
((~curious(paul))<=>(patient(john)))&
(((~strong(paul)|wise(paul)))=>(?[X]:((funny(X)|humble(X)))))&
((?[X]:(~wise(X)))<=>(?[X]:((tall(X)&~generous(X)))))&
((?[X]:((wise(X)&~tall(X))))<=>((~kind(alice)|~curious(alice))))&
((?[X]:((calm(X)|~quiet(X))))<=>((~wise(lucy)<~>k... | wise(paul) | [] | null | 0 |
Everyone who is either not calm or not happy is both quiet and not creative. If someone is both brave and not quiet then someone is rich and vice versa. Everyone who is not quiet is both rich and not humble. Everyone who is either not patient or humble is generous. Everyone who is not quiet or strong is either wise or ... | Mary is tall. | contradiction | (![X]:((~calm(X)<~>~happy(X))=>(quiet(X)&~creative(X))))&
((?[X]:((brave(X)&~quiet(X))))<=>(?[X]:(rich(X))))&
(![X]:(~quiet(X)=>(rich(X)&~humble(X))))&
(![X]:((~patient(X)<~>humble(X))=>generous(X)))&
(![X]:((~quiet(X)|strong(X))=>(wise(X)<~>~rich(X))))&
(![X]:((happy(X)|old(X))<=>strong(X)))&
((?[X]:((~rich(X)|~creati... | tall(mary) | [
"p4",
"p5",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2932242892605279148771305
% SZS output start Proof for 2932242892605279148771305
5. ! [X0] : ((strong(X0) | ~quiet(X0)) => (wise(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((old(X0) | happy(X0)) <=> strong(X0)) [input p5]
10. ! [X0] : ((tall(X0) <~> ~rich(X0)) => (funny(X0) & ~strong(X0))... | 0 |
If paul is creative or old then someone is not happy and vice versa.
Everyone who is curious or not happy is either not kind or quiet and vice versa.
Everyone who is curious or strong is both not rich and not happy.
If susan is not strong or not generous then someone is not generous and vice versa.
Everyone who is eith... | Susan is not quiet. | entailment | (((creative(paul)|old(paul)))<=>(?[X]:(~happy(X))))&
(![X]:((curious(X)|~happy(X))<=>(~kind(X)<~>quiet(X))))&
(![X]:((curious(X)|strong(X))=>(~rich(X)&~happy(X))))&
(((~strong(susan)|~generous(susan)))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>happy(X))<=>(~kind(X)<~>~curious(X))))&
((~curious(alice))=>(?[X]:((ri... | ~quiet(susan) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3243214619878029060344814
% SZS output start Proof for 3243214619878029060344814
2. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~kind(X0) <~> quiet(X0))) [input p1]
3. ! [X0] : ((strong(X0) | curious(X0)) => (~happy(X0) & ~rich(X0))) [input p2]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> ... | 0 |
Everyone who is either not rich or not curious is either old or not creative.
Everyone who is both kind and not humble is either not tall or not wise.
Everyone who is not brave is calm and vice versa.
Everyone who is creative is not wise.
Everyone who is both creative and not brave is both not calm and not humble and v... | Lucy is not generous. | neutral | (![X]:((~rich(X)<~>~curious(X))=>(old(X)<~>~creative(X))))&
(![X]:((kind(X)&~humble(X))=>(~tall(X)<~>~wise(X))))&
(![X]:(~brave(X)<=>calm(X)))&
(![X]:(creative(X)=>~wise(X)))&
(![X]:((creative(X)&~brave(X))<=>(~calm(X)&~humble(X))))&
(![X]:(~strong(X)<=>(kind(X)&~calm(X))))&
((?[X]:((patient(X)&~happy(X))))<=>(happy(jo... | ~generous(lucy) | [] | null | 0 |
Everyone who is not tall or not kind is either not tall or not calm and vice versa.
Everyone who is both patient and rich is not calm or calm.
Everyone who is either not old or not kind is both wise and not tall.
Everyone who is both not wise and not humble is both tall and not happy and vice versa.
Everyone who is not... | Susan is old. | entailment | (![X]:((~tall(X)|~kind(X))<=>(~tall(X)<~>~calm(X))))&
(![X]:((patient(X)&rich(X))=>(~calm(X)|calm(X))))&
(![X]:((~old(X)<~>~kind(X))=>(wise(X)&~tall(X))))&
(![X]:((~wise(X)&~humble(X))<=>(tall(X)&~happy(X))))&
(![X]:(~brave(X)=>(curious(X)|brave(X))))&
((?[X]:((~calm(X)&~patient(X))))<=>(?[X]:((~funny(X)|rich(X)))))&
(... | old(susan) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8661888989689193457790316
% SZS output start Proof for 8661888989689193457790316
8. ! [X0] : (~curious(X0) => (old(X0) & creative(X0))) [input p7]
10. ! [X0] : ((old(X0) & curious(X0)) <=> (~wise(X0) | curious(X0))) [input p9]
21. ~old(susan) [input hypothesis]
32. ! [X0] : ((old(X0) & cr... | 0 |
Everyone who is either not funny or not strong is not generous or not calm and vice versa.
If someone is both not creative and not tall then someone is not wise and vice versa.
Everyone who is either old or strong is both humble and wise.
If someone is not brave or not kind then someone is not happy or not wise.
Everyo... | Alice is not brave. | contradiction | (![X]:((~funny(X)<~>~strong(X))<=>(~generous(X)|~calm(X))))&
((?[X]:((~creative(X)&~tall(X))))<=>(?[X]:(~wise(X))))&
(![X]:((old(X)<~>strong(X))=>(humble(X)&wise(X))))&
((?[X]:((~brave(X)|~kind(X))))=>(?[X]:((~happy(X)|~wise(X)))))&
(![X]:((~quiet(X)<~>~brave(X))=>(old(X)<~>~strong(X))))&
(![X]:(~tall(X)=>(rich(X)&~ric... | ~brave(alice) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7991844927420863577946015
% SZS output start Proof for 7991844927420863577946015
6. ! [X0] : (~tall(X0) => (~rich(X0) & rich(X0))) [input p5]
19. ~tall(alice) | brave(alice) [input p18]
25. ~brave(alice) [input hypothesis]
34. ! [X0] : ((~rich(X0) & rich(X0)) | tall(X0)) [ennf transformat... | 0 |
Everyone who is both tall and not creative is not strong.
If someone is both not old and curious then someone is not funny or not quiet.
Everyone who is either not funny or not rich is curious or not tall.
Everyone who is not tall is generous or not funny and vice versa.
Everyone who is either strong or funny is either... | Lucy is not tall. | entailment | (![X]:((tall(X)&~creative(X))=>~strong(X)))&
((?[X]:((~old(X)&curious(X))))=>(?[X]:((~funny(X)|~quiet(X)))))&
(![X]:((~funny(X)<~>~rich(X))=>(curious(X)|~tall(X))))&
(![X]:(~tall(X)<=>(generous(X)|~funny(X))))&
(![X]:((strong(X)<~>funny(X))<=>(~old(X)<~>funny(X))))&
((wise(john))=>((humble(lucy)<~>rich(lucy))))&
(![X]:... | ~tall(lucy) | [
"p3",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4943751731173822655506627
% SZS output start Proof for 4943751731173822655506627
4. ! [X0] : (~tall(X0) <=> (~funny(X0) | generous(X0))) [input p3]
16. ! [X0] : (~generous(X0) => (calm(X0) | generous(X0))) [input p15]
20. wise(lucy) & ~calm(lucy) [input p19]
25. tall(lucy) [input hypothes... | 0 |
Everyone who is both not kind and tall is humble.
If someone is not happy or not tall then someone is quiet.
Everyone who is not patient or quiet is either calm or funny and vice versa.
If someone is not patient or not rich then paul is funny or strong.
Everyone who is rich or not kind is wise and vice versa.
If lucy i... | Susan is not curious. | contradiction | (![X]:((~kind(X)&tall(X))=>humble(X)))&
((?[X]:((~happy(X)|~tall(X))))=>(?[X]:(quiet(X))))&
(![X]:((~patient(X)|quiet(X))<=>(calm(X)<~>funny(X))))&
((?[X]:((~patient(X)|~rich(X))))=>((funny(paul)|strong(paul))))&
(![X]:((rich(X)|~kind(X))<=>wise(X)))&
(((wise(lucy)&happy(lucy)))<=>(?[X]:((strong(X)<~>curious(X)))))&
(!... | ~curious(susan) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7789950085492631156939841
% SZS output start Proof for 7789950085492631156939841
13. ! [X0] : ((creative(X0) <~> ~funny(X0)) <=> creative(X0)) [input p12]
16. curious(susan) <=> funny(john) [input p15]
25. ~curious(susan) [input hypothesis]
61. ! [X0] : ((((funny(X0) | ~creative(X0)) & (~... | 0 |
Everyone who is both tall and quiet is either not creative or humble. Everyone who is not calm is not patient and vice versa. If someone is either rich or brave then alice is both not funny and curious and vice versa. If someone is brave or not tall then lucy is either patient or rich and vice versa. Everyone who is no... | Paul is tall. | neutral | (![X]:((tall(X)&quiet(X))=>(~creative(X)<~>humble(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
((?[X]:((rich(X)<~>brave(X))))<=>((~funny(alice)&curious(alice))))&
((?[X]:((brave(X)|~tall(X))))<=>((patient(lucy)<~>rich(lucy))))&
(![X]:((~strong(X)|kind(X))<=>(~humble(X)<~>~old(X))))&
((brave(john))<=>(~calm(lucy)))&
((?[X]:(... | tall(paul) | [] | null | 0 |
Everyone who is either wise or not quiet is wise.
Everyone who is calm or not quiet is not wise or not rich and vice versa.
If lucy is either not generous or not quiet then fred is not calm.
Everyone who is happy or not brave is not rich or not humble and vice versa.
If alice is not calm then paul is not brave or curio... | Lucy is funny. | entailment | (![X]:((wise(X)<~>~quiet(X))=>wise(X)))&
(![X]:((calm(X)|~quiet(X))<=>(~wise(X)|~rich(X))))&
(((~generous(lucy)<~>~quiet(lucy)))=>(~calm(fred)))&
(![X]:((happy(X)|~brave(X))<=>(~rich(X)|~humble(X))))&
((~calm(alice))=>((~brave(paul)|curious(paul))))&
(![X]:((tall(X)|generous(X))=>(creative(X)|~wise(X))))&
(![X]:(genero... | funny(lucy) | [
"p0",
"p1",
"p6",
"p8",
"p9",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4389761933884765851368686
% SZS output start Proof for 4389761933884765851368686
1. ! [X0] : ((wise(X0) <~> ~quiet(X0)) => wise(X0)) [input p0]
2. ! [X0] : ((~quiet(X0) | calm(X0)) <=> (~rich(X0) | ~wise(X0))) [input p1]
7. ! [X0] : (generous(X0) <=> (~old(X0) | ~kind(X0))) [input p6]
9. ... | 0 |
Everyone who is not funny or rich is either strong or tall.
If someone is both patient and not kind then someone is both not generous and not creative and vice versa.
Everyone who is quiet is both not calm and not humble.
Everyone who is funny or not happy is generous or brave and vice versa.
If someone is both patient... | Fred is humble. | contradiction | (![X]:((~funny(X)|rich(X))=>(strong(X)<~>tall(X))))&
((?[X]:((patient(X)&~kind(X))))<=>(?[X]:((~generous(X)&~creative(X)))))&
(![X]:(quiet(X)=>(~calm(X)&~humble(X))))&
(![X]:((funny(X)|~happy(X))<=>(generous(X)|brave(X))))&
((?[X]:((patient(X)&generous(X))))<=>((patient(alice)<~>~rich(alice))))&
(![X]:((~generous(X)|ge... | humble(fred) | [
"p2",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4560113162242277339869228
% SZS output start Proof for 4560113162242277339869228
3. ! [X0] : (quiet(X0) => (~humble(X0) & ~calm(X0))) [input p2]
6. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (curious(X0) <~> ~quiet(X0))) [input p5]
12. ! [X0] : ((funny(X0) | tall(X0)) => ~tall(X0)) [inp... | 0 |
If lucy is not patient or not creative then susan is not old.
Everyone who is both not brave and rich is either not creative or not generous and vice versa.
Everyone who is generous is not creative and vice versa.
Everyone who is either quiet or not creative is either generous or not funny.
Everyone who is not kind is ... | Fred is strong. | entailment | (((~patient(lucy)|~creative(lucy)))=>(~old(susan)))&
(![X]:((~brave(X)&rich(X))<=>(~creative(X)<~>~generous(X))))&
(![X]:(generous(X)<=>~creative(X)))&
(![X]:((quiet(X)<~>~creative(X))=>(generous(X)<~>~funny(X))))&
(![X]:(~kind(X)<=>(calm(X)<~>creative(X))))&
(![X]:((generous(X)<~>quiet(X))=>(~old(X)&~generous(X))))&
(... | strong(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1444709380563907869659730
% SZS output start Proof for 1444709380563907869659730
23. rich(fred) & strong(fred) [input p22]
24. ~strong(fred) [input hypothesis]
133. strong(fred) [cnf transformation 23]
135. ~strong(fred) [cnf transformation 24]
293. $false [subsumption resolution 135,133]... | 0 |
If someone is either not curious or creative then someone is not patient. Everyone who is both not rich and not happy is either calm or tall and vice versa. Everyone who is calm is happy or funny and vice versa. Everyone who is not kind is both not generous and not kind. Everyone who is both strong and brave is not old... | Alice is kind. | contradiction | ((?[X]:((~curious(X)<~>creative(X))))=>(?[X]:(~patient(X))))&
(![X]:((~rich(X)&~happy(X))<=>(calm(X)<~>tall(X))))&
(![X]:(calm(X)<=>(happy(X)|funny(X))))&
(![X]:(~kind(X)=>(~generous(X)&~kind(X))))&
(![X]:((strong(X)&brave(X))<=>(~old(X)|~wise(X))))&
((?[X]:((~funny(X)&generous(X))))=>(brave(john)))&
((?[X]:((humble(X)... | kind(alice) | [
"p2",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3089976572400181985192588
% SZS output start Proof for 3089976572400181985192588
3. ! [X0] : (calm(X0) <=> (funny(X0) | happy(X0))) [input p2]
9. ? [X0] : (~humble(X0) & ~creative(X0)) <=> ? [X0] : (creative(X0) <~> funny(X0)) [input p8]
11. ! [X0] : ((creative(X0) & quiet(X0)) <=> (~crea... | 0 |
Everyone who is not strong or creative is not wise and vice versa.
Everyone who is not wise or tall is both not calm and wise and vice versa.
If mary is funny then john is old or patient.
If lucy is both quiet and not rich then mary is not funny or humble.
If someone is both funny and patient then paul is old.
Everyone... | Lucy is not generous. | contradiction | (![X]:((~strong(X)|creative(X))<=>~wise(X)))&
(![X]:((~wise(X)|tall(X))<=>(~calm(X)&wise(X))))&
((funny(mary))=>((old(john)|patient(john))))&
(((quiet(lucy)&~rich(lucy)))=>((~funny(mary)|humble(mary))))&
((?[X]:((funny(X)&patient(X))))=>(old(paul)))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patien... | ~generous(lucy) | [
"p0",
"p1",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 795730072309460310874860
% SZS output start Proof for 795730072309460310874860
1. ! [X0] : ((creative(X0) | ~strong(X0)) <=> ~wise(X0)) [input p0]
2. ! [X0] : ((tall(X0) | ~wise(X0)) <=> (wise(X0) & ~calm(X0))) [input p1]
6. ! [X0] : (~tall(X0) => (~happy(X0) & ~calm(X0))) [input p5]
15. ... | 0 |
If paul is either not curious or quiet then someone is both not humble and calm and vice versa.
Everyone who is strong or not curious is both not strong and wise.
Everyone who is rich or not generous is not brave.
If john is wise or not generous then paul is happy or not generous and vice versa.
If someone is patient t... | Mary is not old. | neutral | (((~curious(paul)<~>quiet(paul)))<=>(?[X]:((~humble(X)&calm(X)))))&
(![X]:((strong(X)|~curious(X))=>(~strong(X)&wise(X))))&
(![X]:((rich(X)|~generous(X))=>~brave(X)))&
(((wise(john)|~generous(john)))<=>((happy(paul)|~generous(paul))))&
((?[X]:(patient(X)))=>(?[X]:((~rich(X)&rich(X)))))&
((?[X]:((~brave(X)<~>~patient(X)... | ~old(mary) | [] | null | 0 |
Everyone who is not rich is either quiet or not calm and vice versa. If someone is not happy then alice is both old and not brave and vice versa. Everyone who is rich is not old or not curious. Everyone who is both old and funny is either funny or humble. If someone is both tall and not patient then paul is either tall... | Alice is curious. | contradiction | (![X]:(~rich(X)<=>(quiet(X)<~>~calm(X))))&
((?[X]:(~happy(X)))<=>((old(alice)&~brave(alice))))&
(![X]:(rich(X)=>(~old(X)|~curious(X))))&
(![X]:((old(X)&funny(X))=>(funny(X)<~>humble(X))))&
((?[X]:((tall(X)&~patient(X))))=>((tall(paul)<~>funny(paul))))&
(![X]:((~creative(X)|~humble(X))=>rich(X)))&
((?[X]:((~calm(X)<~>ca... | curious(alice) | [
"p1",
"p2",
"p5",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5045468148099274408879480
% SZS output start Proof for 5045468148099274408879480
2. ? [X0] : ~happy(X0) <=> (~brave(alice) & old(alice)) [input p1]
3. ! [X0] : (rich(X0) => (~curious(X0) | ~old(X0))) [input p2]
6. ! [X0] : ((~humble(X0) | ~creative(X0)) => rich(X0)) [input p5]
19. ~quiet(... | 0 |
If someone is rich or not brave then mary is both not brave and not patient.
If susan is both calm and wise then alice is both strong and not wise.
If john is not rich then susan is either not wise or not old and vice versa.
If someone is either patient or not kind then someone is not calm and vice versa.
If john is no... | Lucy is not patient. | neutral | ((?[X]:((rich(X)|~brave(X))))=>((~brave(mary)&~patient(mary))))&
(((calm(susan)&wise(susan)))=>((strong(alice)&~wise(alice))))&
((~rich(john))<=>((~wise(susan)<~>~old(susan))))&
((?[X]:((patient(X)<~>~kind(X))))<=>(?[X]:(~calm(X))))&
(((~calm(john)|~curious(john)))<=>(?[X]:((rich(X)&~brave(X)))))&
(![X]:(strong(X)=>~ol... | ~patient(lucy) | [] | null | 0 |
Everyone who is either not funny or kind is either happy or curious and vice versa.
Everyone who is not quiet is humble and vice versa.
Everyone who is both not tall and strong is either calm or kind.
If someone is both not calm and patient then someone is not calm and vice versa.
If someone is not quiet then someone i... | Mary is not curious. | neutral | (![X]:((~funny(X)<~>kind(X))<=>(happy(X)<~>curious(X))))&
(![X]:(~quiet(X)<=>humble(X)))&
(![X]:((~tall(X)&strong(X))=>(calm(X)<~>kind(X))))&
((?[X]:((~calm(X)&patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)<~>rich(X)))))&
(((brave(john)&kind(john)))=>((patient(paul)|~curious(paul))))&
((... | ~curious(mary) | [] | null | 0 |
Everyone who is either not creative or not generous is either not curious or not brave and vice versa.
If fred is both not strong and not old then someone is not brave or not creative.
Everyone who is either creative or kind is not strong or humble and vice versa.
If paul is either not funny or wise then alice is both ... | Alice is tall. | entailment | (![X]:((~creative(X)<~>~generous(X))<=>(~curious(X)<~>~brave(X))))&
(((~strong(fred)&~old(fred)))=>(?[X]:((~brave(X)|~creative(X)))))&
(![X]:((creative(X)<~>kind(X))<=>(~strong(X)|humble(X))))&
(((~funny(paul)<~>wise(paul)))<=>((wise(alice)&tall(alice))))&
(((~creative(alice)|rich(alice)))<=>(calm(john)))&
(![X]:(rich(... | tall(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7506053620538142906858274
% SZS output start Proof for 7506053620538142906858274
18. tall(alice) & calm(alice) [input p17]
23. ~tall(alice) [input hypothesis]
113. tall(alice) [cnf transformation 18]
119. ~tall(alice) [cnf transformation 23]
144. 6 <=> tall(alice) [avatar definition]
252.... | 0 |
Everyone who is both happy and not calm is both funny and old and vice versa.
If someone is kind then mary is both not wise and not calm.
If alice is both tall and brave then someone is both humble and not generous and vice versa.
Everyone who is not brave is not patient.
Everyone who is either quiet or not brave is wi... | Mary is happy. | contradiction | (![X]:((happy(X)&~calm(X))<=>(funny(X)&old(X))))&
((?[X]:(kind(X)))=>((~wise(mary)&~calm(mary))))&
(((tall(alice)&brave(alice)))<=>(?[X]:((humble(X)&~generous(X)))))&
(![X]:(~brave(X)=>~patient(X)))&
(![X]:((quiet(X)<~>~brave(X))=>(wise(X)|~wise(X))))&
(![X]:((patient(X)|~tall(X))=>old(X)))&
((brave(paul))=>(?[X]:((~st... | happy(mary) | [
"p1",
"p3",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6204311004051509052694516
% SZS output start Proof for 6204311004051509052694516
2. ? [X0] : kind(X0) => (~calm(mary) & ~wise(mary)) [input p1]
4. ! [X0] : (~brave(X0) => ~patient(X0)) [input p3]
9. ! [X0] : (calm(X0) <=> (brave(X0) | generous(X0))) [input p8]
13. (rich(mary) | happy(mary... | 0 |
If fred is not strong or not generous then someone is calm or wise.
If someone is happy then someone is tall or not curious.
If paul is both humble and brave then lucy is either not rich or not curious.
If lucy is tall then someone is not wise.
Everyone who is not patient or not funny is either generous or not old.
If ... | John is curious. | neutral | (((~strong(fred)|~generous(fred)))=>(?[X]:((calm(X)|wise(X)))))&
((?[X]:(happy(X)))=>(?[X]:((tall(X)|~curious(X)))))&
(((humble(paul)&brave(paul)))=>((~rich(lucy)<~>~curious(lucy))))&
((tall(lucy))=>(?[X]:(~wise(X))))&
(![X]:((~patient(X)|~funny(X))=>(generous(X)<~>~old(X))))&
(((strong(susan)&~calm(susan)))=>((~tall(p... | curious(john) | [] | null | 0 |
Everyone who is both not humble and strong is either not old or old and vice versa.
If fred is strong or not generous then alice is either not wise or patient.
Everyone who is both not funny and not happy is strong and vice versa.
If someone is both brave and not brave then someone is either not wise or old and vice ve... | Lucy is not patient. | contradiction | (![X]:((~humble(X)&strong(X))<=>(~old(X)<~>old(X))))&
(((strong(fred)|~generous(fred)))=>((~wise(alice)<~>patient(alice))))&
(![X]:((~funny(X)&~happy(X))<=>strong(X)))&
((?[X]:((brave(X)&~brave(X))))<=>(?[X]:((~wise(X)<~>old(X)))))&
(![X]:(wise(X)<=>(calm(X)&brave(X))))&
(![X]:((funny(X)|brave(X))<=>~happy(X)))&
(![X]:... | ~patient(lucy) | [
"p0",
"p2",
"p3",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2582871289001503224108286
% SZS output start Proof for 2582871289001503224108286
1. ! [X0] : ((strong(X0) & ~humble(X0)) <=> (~old(X0) <~> old(X0))) [input p0]
3. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> strong(X0)) [input p2]
4. ? [X0] : (~brave(X0) & brave(X0)) <=> ? [X0] : (~wise(X0) <~... | 0 |
If lucy is old then mary is both creative and rich. Everyone who is not funny or not calm is not generous or humble and vice versa. If fred is kind or not tall then someone is both not humble and generous and vice versa. If mary is not curious or not kind then someone is either creative or humble. Everyone who is eithe... | Paul is not curious. | entailment | ((old(lucy))=>((creative(mary)&rich(mary))))&
(![X]:((~funny(X)|~calm(X))<=>(~generous(X)|humble(X))))&
(((kind(fred)|~tall(fred)))<=>(?[X]:((~humble(X)&generous(X)))))&
(((~curious(mary)|~kind(mary)))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:((brave(X)<~>~happy(X))<=>~curious(X)))&
(![X]:((curious(X)&~funny(X))=>~s... | ~curious(paul) | [
"p4",
"p7",
"p8",
"p11",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3145575170177696413985157
% SZS output start Proof for 3145575170177696413985157
5. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> ~curious(X0)) [input p4]
8. ~brave(paul) <=> ? [X0] : (~quiet(X0) | ~patient(X0)) [input p7]
9. ! [X0] : ((funny(X0) & ~creative(X0)) <=> patient(X0)) [input p8]
12... | 0 |
Everyone who is both not funny and not humble is not kind and vice versa.
Everyone who is not brave or creative is either generous or tall.
Everyone who is not quiet or tall is not strong.
If susan is funny or not tall then susan is either strong or not funny.
Everyone who is not patient or old is either not curious or... | Susan is not funny. | entailment | (![X]:((~funny(X)&~humble(X))<=>~kind(X)))&
(![X]:((~brave(X)|creative(X))=>(generous(X)<~>tall(X))))&
(![X]:((~quiet(X)|tall(X))=>~strong(X)))&
(((funny(susan)|~tall(susan)))=>((strong(susan)<~>~funny(susan))))&
(![X]:((~patient(X)|old(X))=>(~curious(X)<~>~old(X))))&
(![X]:((~creative(X)<~>~happy(X))<=>(humble(X)<~>~k... | ~funny(susan) | [
"p2",
"p3",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4885537511112278262758498
% SZS output start Proof for 4885537511112278262758498
3. ! [X0] : ((tall(X0) | ~quiet(X0)) => ~strong(X0)) [input p2]
4. (~tall(susan) | funny(susan)) => (strong(susan) <~> ~funny(susan)) [input p3]
14. ! [X0] : (quiet(X0) => (~quiet(X0) & brave(X0))) [input p13... | 0 |
If someone is quiet or not creative then paul is not calm or patient and vice versa.
If someone is either not creative or not strong then john is both old and happy and vice versa.
Everyone who is both not happy and not tall is either happy or not quiet and vice versa.
Everyone who is both not funny and patient is both... | Paul is not brave. | neutral | ((?[X]:((quiet(X)|~creative(X))))<=>((~calm(paul)|patient(paul))))&
((?[X]:((~creative(X)<~>~strong(X))))<=>((old(john)&happy(john))))&
(![X]:((~happy(X)&~tall(X))<=>(happy(X)<~>~quiet(X))))&
(![X]:((~funny(X)&patient(X))<=>(humble(X)&kind(X))))&
(![X]:((calm(X)<~>creative(X))<=>(quiet(X)&~calm(X))))&
(![X]:(~wise(X)<=... | ~brave(paul) | [] | null | 0 |
Everyone who is either not brave or kind is rich or calm. Everyone who is not wise or not generous is both creative and humble and vice versa. If susan is not happy then someone is either not funny or rich and vice versa. Everyone who is both rich and not generous is either not quiet or kind and vice versa. Everyone wh... | John is tall. | neutral | (![X]:((~brave(X)<~>kind(X))=>(rich(X)|calm(X))))&
(![X]:((~wise(X)|~generous(X))<=>(creative(X)&humble(X))))&
((~happy(susan))<=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:((rich(X)&~generous(X))<=>(~quiet(X)<~>kind(X))))&
(![X]:(rich(X)=>(~curious(X)<~>brave(X))))&
((old(lucy))<=>(?[X]:((~calm(X)&quiet(X)))))&
(![X]:(~qu... | tall(john) | [] | null | 0 |
If lucy is quiet or curious then someone is humble or not humble and vice versa.
If alice is not calm then someone is both not generous and calm and vice versa.
Everyone who is not strong is happy or not strong.
If paul is not patient or not generous then someone is both not brave and tall and vice versa.
Everyone who ... | Paul is rich. | neutral | (((quiet(lucy)|curious(lucy)))<=>(?[X]:((humble(X)|~humble(X)))))&
((~calm(alice))<=>(?[X]:((~generous(X)&calm(X)))))&
(![X]:(~strong(X)=>(happy(X)|~strong(X))))&
(((~patient(paul)|~generous(paul)))<=>(?[X]:((~brave(X)&tall(X)))))&
(![X]:((curious(X)&patient(X))=>~wise(X)))&
(![X]:((~rich(X)&curious(X))<=>(~quiet(X)|~h... | rich(paul) | [] | null | 0 |
If someone is not old then someone is rich and vice versa. If someone is either not curious or funny then paul is not strong. If someone is not curious or humble then susan is both not brave and brave and vice versa. If someone is not rich then fred is quiet. If someone is either old or not patient then someone is not ... | Paul is not quiet. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:(rich(X))))&
((?[X]:((~curious(X)<~>funny(X))))=>(~strong(paul)))&
((?[X]:((~curious(X)|humble(X))))<=>((~brave(susan)&brave(susan))))&
((?[X]:(~rich(X)))=>(quiet(fred)))&
((?[X]:((old(X)<~>~patient(X))))<=>(?[X]:((~brave(X)|~rich(X)))))&
(((patient(alice)&~rich(alice)))<=>((wise(fred)<~>~curi... | ~quiet(paul) | [
"p1",
"p2",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 874893128202129035319295
% SZS output start Proof for 874893128202129035319295
2. ? [X0] : (~curious(X0) <~> funny(X0)) => ~strong(paul) [input p1]
3. ? [X0] : (humble(X0) | ~curious(X0)) <=> (brave(susan) & ~brave(susan)) [input p2]
10. ! [X0] : ((~curious(X0) <~> ~strong(X0)) => quiet(X... | 0 |
Everyone who is both calm and not strong is both not curious and not old. If someone is either not happy or calm then someone is either quiet or not wise. Everyone who is calm is not patient. If paul is either generous or brave then susan is either humble or generous. If someone is both not wise and calm then someone i... | Paul is humble. | neutral | (![X]:((calm(X)&~strong(X))=>(~curious(X)&~old(X))))&
((?[X]:((~happy(X)<~>calm(X))))=>(?[X]:((quiet(X)<~>~wise(X)))))&
(![X]:(calm(X)=>~patient(X)))&
(((generous(paul)<~>brave(paul)))=>((humble(susan)<~>generous(susan))))&
((?[X]:((~wise(X)&calm(X))))<=>(?[X]:((rich(X)|wise(X)))))&
((creative(john))<=>((funny(alice)&~... | humble(paul) | [] | null | 0 |
If susan is both strong and old then someone is either wise or kind and vice versa.
If someone is tall then someone is not patient or not calm.
Everyone who is not brave is not calm and vice versa.
If someone is happy then lucy is not tall.
If someone is not humble or happy then fred is either not strong or rich.
Every... | John is kind. | contradiction | (((strong(susan)&old(susan)))<=>(?[X]:((wise(X)<~>kind(X)))))&
((?[X]:(tall(X)))=>(?[X]:((~patient(X)|~calm(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
((?[X]:(happy(X)))=>(~tall(lucy)))&
((?[X]:((~humble(X)|happy(X))))=>((~strong(fred)<~>rich(fred))))&
(![X]:((humble(X)&~old(X))<=>(funny(X)|~wise(X))))&
((?[X]:(strong(X)))... | kind(john) | [
"p0",
"p2",
"p9",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3594106651725914903721933
% SZS output start Proof for 3594106651725914903721933
1. (old(susan) & strong(susan)) <=> ? [X0] : (wise(X0) <~> kind(X0)) [input p0]
3. ! [X0] : (~brave(X0) <=> ~calm(X0)) [input p2]
10. ! [X0] : ((~creative(X0) <~> calm(X0)) <=> kind(X0)) [input p9]
11. ! [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 ... | John is creative. | 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... | creative(john) | [
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5477566681202927352825702
% SZS output start Proof for 5477566681202927352825702
10. ! [X0] : ((humble(X0) | tall(X0)) => humble(X0)) [input p9]
11. ? [X0] : (tall(X0) & ~generous(X0)) <=> ? [X0] : (calm(X0) | creative(X0)) [input p10]
13. ! [X0] : ((generous(X0) <~> humble(X0)) <=> (gene... | 0 |
Everyone who is not creative or not wise is both not brave and happy.
If someone is both kind and funny then someone is not tall or not strong and vice versa.
If someone is both not strong and quiet then someone is both happy and kind and vice versa.
Everyone who is both not quiet and old is either not generous or not ... | Mary is generous. | neutral | (![X]:((~creative(X)|~wise(X))=>(~brave(X)&happy(X))))&
((?[X]:((kind(X)&funny(X))))<=>(?[X]:((~tall(X)|~strong(X)))))&
((?[X]:((~strong(X)&quiet(X))))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((~quiet(X)&old(X))<=>(~generous(X)<~>~funny(X))))&
(![X]:((~funny(X)&tall(X))=>(~brave(X)&creative(X))))&
(![X]:((~rich(X)<~>~wis... | generous(mary) | [] | null | 0 |
Everyone who is strong or not wise is not rich.
Everyone who is old is not rich and vice versa.
If fred is patient then lucy is not curious or happy.
Everyone who is both not patient and rich is both creative and not humble and vice versa.
Everyone who is not old or rich is generous or not kind and vice versa.
Everyone... | Fred is calm. | entailment | (![X]:((strong(X)|~wise(X))=>~rich(X)))&
(![X]:(old(X)<=>~rich(X)))&
((patient(fred))=>((~curious(lucy)|happy(lucy))))&
(![X]:((~patient(X)&rich(X))<=>(creative(X)&~humble(X))))&
(![X]:((~old(X)|rich(X))<=>(generous(X)|~kind(X))))&
(![X]:((~brave(X)<~>creative(X))<=>(~quiet(X)|quiet(X))))&
(![X]:(~happy(X)=>(generous(X... | calm(fred) | [
"p0",
"p1",
"p4",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7985576739479275622299843
% SZS output start Proof for 7985576739479275622299843
1. ! [X0] : ((~wise(X0) | strong(X0)) => ~rich(X0)) [input p0]
2. ! [X0] : (old(X0) <=> ~rich(X0)) [input p1]
5. ! [X0] : ((rich(X0) | ~old(X0)) <=> (~kind(X0) | generous(X0))) [input p4]
10. ! [X0] : (funny(... | 0 |
If fred is either not generous or not strong then john is either funny or kind and vice versa.
If someone is not curious or not brave then someone is both not brave and funny and vice versa.
If mary is either funny or kind then someone is both not kind and not generous.
Everyone who is both not tall and creative is eit... | Lucy is patient. | contradiction | (((~generous(fred)<~>~strong(fred)))<=>((funny(john)<~>kind(john))))&
((?[X]:((~curious(X)|~brave(X))))<=>(?[X]:((~brave(X)&funny(X)))))&
(((funny(mary)<~>kind(mary)))=>(?[X]:((~kind(X)&~generous(X)))))&
(![X]:((~tall(X)&creative(X))=>(curious(X)<~>happy(X))))&
((?[X]:(~patient(X)))=>((tall(paul)&~funny(paul))))&
((?[X... | patient(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3236343757857037560868285
% SZS output start Proof for 3236343757857037560868285
7. ! [X0] : (patient(X0) => ~patient(X0)) [input p6]
25. patient(lucy) [input hypothesis]
36. ! [X0] : (~patient(X0) | ~patient(X0)) [ennf transformation 7]
107. ~patient(X0) | ~patient(X0) [cnf transformatio... | 0 |
If susan is both funny and quiet then someone is either brave or not tall and vice versa.
Everyone who is not calm is either not wise or not brave and vice versa.
If lucy is either humble or happy then susan is not rich or creative.
If susan is not calm or not generous then someone is both generous and quiet and vice v... | Lucy is not creative. | entailment | (((funny(susan)&quiet(susan)))<=>(?[X]:((brave(X)<~>~tall(X)))))&
(![X]:(~calm(X)<=>(~wise(X)<~>~brave(X))))&
(((humble(lucy)<~>happy(lucy)))=>((~rich(susan)|creative(susan))))&
(((~calm(susan)|~generous(susan)))<=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:(~rich(X)<=>(~generous(X)|creative(X))))&
(((humble(susan)|creati... | ~creative(lucy) | [
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 855265273905671443397500
% SZS output start Proof for 855265273905671443397500
10. ! [X0] : (~strong(X0) <=> (~generous(X0) | creative(X0))) [input p9]
12. ! [X0] : ((~old(X0) & strong(X0)) <=> (~generous(X0) | ~happy(X0))) [input p11]
14. ! [X0] : ((~creative(X0) & happy(X0)) <=> (genero... | 0 |
Everyone who is calm or not brave is either not quiet or old and vice versa. Everyone who is not curious or not kind is not humble or not calm. Everyone who is strong or curious is not strong and vice versa. Everyone who is not wise is both brave and not patient. If someone is brave or tall then fred is both brave and ... | Lucy is rich. | neutral | (![X]:((calm(X)|~brave(X))<=>(~quiet(X)<~>old(X))))&
(![X]:((~curious(X)|~kind(X))=>(~humble(X)|~calm(X))))&
(![X]:((strong(X)|curious(X))<=>~strong(X)))&
(![X]:(~wise(X)=>(brave(X)&~patient(X))))&
((?[X]:((brave(X)|tall(X))))=>((brave(fred)&~wise(fred))))&
(![X]:(curious(X)=>creative(X)))&
(![X]:((~curious(X)<~>~tall(... | rich(lucy) | [] | null | 0 |
If john is happy or not tall then someone is either happy or not creative and vice versa. If someone is both humble and not calm then paul is not funny. If susan is creative then susan is both humble and old. If john is both not tall and wise then someone is both rich and not happy. If mary is either not old or not fun... | Alice is not generous. | contradiction | (((happy(john)|~tall(john)))<=>(?[X]:((happy(X)<~>~creative(X)))))&
((?[X]:((humble(X)&~calm(X))))=>(~funny(paul)))&
((creative(susan))=>((humble(susan)&old(susan))))&
(((~tall(john)&wise(john)))=>(?[X]:((rich(X)&~happy(X)))))&
(((~old(mary)<~>~funny(mary)))=>(?[X]:(brave(X))))&
((funny(lucy))=>(?[X]:((kind(X)|~rich(X)... | ~generous(alice) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1077661143844420038301134
% SZS output start Proof for 1077661143844420038301134
10. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~calm(X0) | rich(X0))) [input p9]
13. ? [X0] : rich(X0) <=> ? [X0] : (~generous(X0) | ~creative(X0)) [input p12]
24. ~generous(alice) [input hypothesis]
25. ? [X0] : ... | 0 |
If someone is either not old or quiet then someone is either not tall or wise.
Everyone who is both rich and humble is either funny or brave.
Everyone who is not curious or tall is not calm or quiet.
If mary is patient or rich then paul is not strong or rich and vice versa.
Everyone who is both not patient and curious ... | John is tall. | contradiction | ((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~tall(X)<~>wise(X)))))&
(![X]:((rich(X)&humble(X))=>(funny(X)<~>brave(X))))&
(![X]:((~curious(X)|tall(X))=>(~calm(X)|quiet(X))))&
(((patient(mary)|rich(mary)))<=>((~strong(paul)|rich(paul))))&
(![X]:((~patient(X)&curious(X))=>(happy(X)|~creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:... | tall(john) | [
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 705757804733590393465898
% SZS output start Proof for 705757804733590393465898
6. ? [X0] : ~calm(X0) <=> ? [X0] : tall(X0) [input p5]
7. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~happy(X0) & humble(X0))) [input p6]
10. ? [X0] : ~calm(X0) => (brave(john) & creative(john)) [input p9]
12. ! ... | 0 |
If fred is creative then fred is either not kind or funny. Everyone who is brave or happy is either not brave or old and vice versa. Everyone who is not brave or curious is either not old or patient. If john is not generous or not calm then paul is both not curious and strong and vice versa. Everyone who is not curious... | John is not tall. | neutral | ((creative(fred))=>((~kind(fred)<~>funny(fred))))&
(![X]:((brave(X)|happy(X))<=>(~brave(X)<~>old(X))))&
(![X]:((~brave(X)|curious(X))=>(~old(X)<~>patient(X))))&
(((~generous(john)|~calm(john)))<=>((~curious(paul)&strong(paul))))&
(![X]:(~curious(X)=>(happy(X)<~>~quiet(X))))&
(![X]:((brave(X)&strong(X))=>(brave(X)&calm(... | ~tall(john) | [] | null | 0 |
Everyone who is tall is both kind and strong.
Everyone who is both not happy and kind is either not humble or brave and vice versa.
Everyone who is both happy and patient is not brave.
Everyone who is brave or rich is not creative and vice versa.
If alice is either not generous or not brave then someone is both wise an... | Mary is not old. | entailment | (![X]:(tall(X)=>(kind(X)&strong(X))))&
(![X]:((~happy(X)&kind(X))<=>(~humble(X)<~>brave(X))))&
(![X]:((happy(X)&patient(X))=>~brave(X)))&
(![X]:((brave(X)|rich(X))<=>~creative(X)))&
(((~generous(alice)<~>~brave(alice)))<=>(?[X]:((wise(X)&~brave(X)))))&
(((brave(paul)|curious(paul)))<=>((~curious(lucy)|quiet(lucy))))&
(... | ~old(mary) | [
"p1",
"p3",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 434760979495496907496407
% SZS output start Proof for 434760979495496907496407
2. ! [X0] : ((kind(X0) & ~happy(X0)) <=> (~humble(X0) <~> brave(X0))) [input p1]
4. ! [X0] : ((rich(X0) | brave(X0)) <=> ~creative(X0)) [input p3]
9. ! [X0] : (~happy(X0) => (~old(X0) & old(X0))) [input p8]
11.... | 0 |
If someone is either humble or not kind then someone is both strong and not strong and vice versa.
If fred is either tall or generous then susan is both not generous and patient and vice versa.
Everyone who is not brave or wise is curious and vice versa.
Everyone who is both brave and generous is both not tall and stro... | Paul is generous. | neutral | ((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((strong(X)&~strong(X)))))&
(((tall(fred)<~>generous(fred)))<=>((~generous(susan)&patient(susan))))&
(![X]:((~brave(X)|wise(X))<=>curious(X)))&
(![X]:((brave(X)&generous(X))<=>(~tall(X)&strong(X))))&
((?[X]:((~rich(X)&calm(X))))=>(?[X]:((old(X)|~quiet(X)))))&
(((patient(lucy)|~p... | generous(paul) | [] | null | 0 |
Everyone who is not patient or wise is both old and not rich. If paul is either not happy or quiet then alice is not wise. Everyone who is not brave is both not calm and not old and vice versa. Everyone who is both curious and not generous is either rich or kind and vice versa. If someone is rich or not wise then john ... | Alice is wise. | contradiction | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(((~happy(paul)<~>quiet(paul)))=>(~wise(alice)))&
(![X]:(~brave(X)<=>(~calm(X)&~old(X))))&
(![X]:((curious(X)&~generous(X))<=>(rich(X)<~>kind(X))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))... | wise(alice) | [
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4895532820461276141854682
% SZS output start Proof for 4895532820461276141854682
3. ! [X0] : (~brave(X0) <=> (~old(X0) & ~calm(X0))) [input p2]
12. ! [X0] : ((humble(X0) | brave(X0)) <=> ~old(X0)) [input p11]
13. ? [X0] : wise(X0) <=> ? [X0] : (old(X0) & creative(X0)) [input p12]
22. wise... | 0 |
Everyone who is both not curious and kind is not strong or tall.
Everyone who is funny or creative is both not strong and tall.
Everyone who is not brave or not patient is not funny.
Everyone who is happy or not tall is either not generous or generous and vice versa.
Everyone who is happy or brave is rich and vice vers... | John is not happy. | neutral | (![X]:((~curious(X)&kind(X))=>(~strong(X)|tall(X))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~funny(X)))&
(![X]:((happy(X)|~tall(X))<=>(~generous(X)<~>generous(X))))&
(![X]:((happy(X)|brave(X))<=>rich(X)))&
(![X]:((curious(X)|kind(X))=>(~old(X)&~curious(X))))&
(((strong(p... | ~happy(john) | [] | null | 0 |
Everyone who is not quiet is not tall.
If mary is both not rich and not calm then lucy is either not rich or not kind and vice versa.
If john is kind or patient then someone is brave or strong and vice versa.
Everyone who is both not strong and rich is kind.
Everyone who is not quiet or old is both not tall and quiet a... | Lucy is calm. | entailment | (![X]:(~quiet(X)=>~tall(X)))&
(((~rich(mary)&~calm(mary)))<=>((~rich(lucy)<~>~kind(lucy))))&
(((kind(john)|patient(john)))<=>(?[X]:((brave(X)|strong(X)))))&
(![X]:((~strong(X)&rich(X))=>kind(X)))&
(![X]:((~quiet(X)|old(X))<=>(~tall(X)&quiet(X))))&
((?[X]:((strong(X)<~>~brave(X))))<=>(?[X]:((~old(X)&brave(X)))))&
(![X]:... | calm(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7338363545062572396481196
% SZS output start Proof for 7338363545062572396481196
13. ? [X0] : (~calm(X0) | ~old(X0)) => ? [X0] : (tall(X0) & ~tall(X0)) [input p12]
24. ~calm(lucy) [input hypothesis]
26. ? [X0] : (~calm(X0) | ~old(X0)) => ? [X1] : (tall(X1) & ~tall(X1)) [rectify 13]
38. ? ... | 0 |
Everyone who is not humble or not patient is old or generous and vice versa.
If lucy is either not old or not happy then paul is either calm or tall and vice versa.
If someone is not calm or quiet then someone is either not curious or not quiet and vice versa.
Everyone who is generous or quiet is not humble.
Everyone w... | Alice is old. | neutral | (![X]:((~humble(X)|~patient(X))<=>(old(X)|generous(X))))&
(((~old(lucy)<~>~happy(lucy)))<=>((calm(paul)<~>tall(paul))))&
((?[X]:((~calm(X)|quiet(X))))<=>(?[X]:((~curious(X)<~>~quiet(X)))))&
(![X]:((generous(X)|quiet(X))=>~humble(X)))&
(![X]:(~strong(X)<=>(humble(X)&calm(X))))&
(((~calm(paul)&brave(paul)))<=>(kind(lucy)... | old(alice) | [] | null | 0 |
If someone is both calm and creative then alice is not tall or not kind and vice versa.
Everyone who is both not wise and quiet is both rich and patient.
Everyone who is either curious or not creative is both not funny and curious.
Everyone who is either wise or not funny is not tall or not happy and vice versa.
Everyo... | Paul is not creative. | neutral | ((?[X]:((calm(X)&creative(X))))<=>((~tall(alice)|~kind(alice))))&
(![X]:((~wise(X)&quiet(X))=>(rich(X)&patient(X))))&
(![X]:((curious(X)<~>~creative(X))=>(~funny(X)&curious(X))))&
(![X]:((wise(X)<~>~funny(X))<=>(~tall(X)|~happy(X))))&
(![X]:((~old(X)&wise(X))<=>(old(X)|~calm(X))))&
(![X]:((wise(X)<~>~curious(X))=>(pati... | ~creative(paul) | [] | null | 0 |
If john is both calm and humble then paul is not generous.
Everyone who is not creative or quiet is funny or patient and vice versa.
Everyone who is not curious or old is both wise and calm.
If john is not rich then someone is both old and not quiet and vice versa.
Everyone who is both not creative and tall is both hum... | John is rich. | contradiction | (((calm(john)&humble(john)))=>(~generous(paul)))&
(![X]:((~creative(X)|quiet(X))<=>(funny(X)|patient(X))))&
(![X]:((~curious(X)|old(X))=>(wise(X)&calm(X))))&
((~rich(john))<=>(?[X]:((old(X)&~quiet(X)))))&
(![X]:((~creative(X)&tall(X))<=>(humble(X)&~wise(X))))&
(![X]:(kind(X)=>(~rich(X)&tall(X))))&
(![X]:((~calm(X)&crea... | rich(john) | [
"p3",
"p5",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3796782662623679219649906
% SZS output start Proof for 3796782662623679219649906
4. ~rich(john) <=> ? [X0] : (~quiet(X0) & old(X0)) [input p3]
6. ! [X0] : (kind(X0) => (tall(X0) & ~rich(X0))) [input p5]
9. ! [X0] : (kind(X0) <=> brave(X0)) [input p8]
13. ! [X0] : ((patient(X0) | ~kind(X0)... | 0 |
Everyone who is both not creative and quiet is calm and vice versa.
If mary is strong then someone is generous or strong.
If paul is either curious or not quiet then john is funny.
If someone is both not patient and not generous then alice is not patient or not happy.
Everyone who is generous or not kind is both not hu... | Mary is not strong. | entailment | (![X]:((~creative(X)&quiet(X))<=>calm(X)))&
((strong(mary))=>(?[X]:((generous(X)|strong(X)))))&
(((curious(paul)<~>~quiet(paul)))=>(funny(john)))&
((?[X]:((~patient(X)&~generous(X))))=>((~patient(alice)|~happy(alice))))&
(![X]:((generous(X)|~kind(X))<=>(~humble(X)&calm(X))))&
((?[X]:(~calm(X)))=>((~brave(susan)&strong(... | ~strong(mary) | [
"p0",
"p6",
"p7",
"p8",
"p9",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2875772517713566300577976
% SZS output start Proof for 2875772517713566300577976
1. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> calm(X0)) [input p0]
7. ! [X0] : (kind(X0) <=> (creative(X0) & ~rich(X0))) [input p6]
8. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (humble(X0) & ~strong(X0))) [input p7... | 0 |
If someone is both old and not tall then someone is not patient and vice versa.
Everyone who is funny or calm is both quiet and old.
If mary is not wise or generous then someone is either quiet or not humble.
Everyone who is humble or quiet is not strong or not patient and vice versa.
If someone is brave or quiet then ... | Fred is kind. | contradiction | ((?[X]:((old(X)&~tall(X))))<=>(?[X]:(~patient(X))))&
(![X]:((funny(X)|calm(X))=>(quiet(X)&old(X))))&
(((~wise(mary)|generous(mary)))=>(?[X]:((quiet(X)<~>~humble(X)))))&
(![X]:((humble(X)|quiet(X))<=>(~strong(X)|~patient(X))))&
((?[X]:((brave(X)|quiet(X))))<=>((~old(alice)|happy(alice))))&
(((wise(john)&happy(john)))<=>... | kind(fred) | [
"p0",
"p3",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1262342956924343625886564
% SZS output start Proof for 1262342956924343625886564
1. ? [X0] : (~tall(X0) & old(X0)) <=> ? [X0] : ~patient(X0) [input p0]
4. ! [X0] : ((quiet(X0) | humble(X0)) <=> (~patient(X0) | ~strong(X0))) [input p3]
10. ! [X0] : (~tall(X0) <=> (old(X0) & strong(X0))) [i... | 0 |
If fred is either not tall or not kind then susan is both brave and curious.
Everyone who is either not wise or not humble is not generous or not old and vice versa.
Everyone who is either curious or not strong is either funny or not calm.
If someone is both generous and happy then susan is both funny and not creative.... | Susan is not calm. | entailment | (((~tall(fred)<~>~kind(fred)))=>((brave(susan)&curious(susan))))&
(![X]:((~wise(X)<~>~humble(X))<=>(~generous(X)|~old(X))))&
(![X]:((curious(X)<~>~strong(X))=>(funny(X)<~>~calm(X))))&
((?[X]:((generous(X)&happy(X))))=>((funny(susan)&~creative(susan))))&
(![X]:(humble(X)<=>(wise(X)|happy(X))))&
((?[X]:((old(X)&quiet(X))... | ~calm(susan) | [
"p1",
"p4",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2625868868883700413125865
% SZS output start Proof for 2625868868883700413125865
2. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <=> (~old(X0) | ~generous(X0))) [input p1]
5. ! [X0] : (humble(X0) <=> (happy(X0) | wise(X0))) [input p4]
9. ! [X0] : ((calm(X0) | ~brave(X0)) => (wise(X0) & strong(X0... | 0 |
Everyone who is both not kind and funny is happy or not creative and vice versa.
Everyone who is both funny and creative is both not tall and generous.
If someone is creative or kind then fred is not calm.
Everyone who is both not old and not happy is strong or curious and vice versa.
If john is either humble or not fu... | Fred is not happy. | entailment | (![X]:((~kind(X)&funny(X))<=>(happy(X)|~creative(X))))&
(![X]:((funny(X)&creative(X))=>(~tall(X)&generous(X))))&
((?[X]:((creative(X)|kind(X))))=>(~calm(fred)))&
(![X]:((~old(X)&~happy(X))<=>(strong(X)|curious(X))))&
(((humble(john)<~>~funny(john)))=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:((~calm(X)|~happy(X))<=>(~brav... | ~happy(fred) | [
"p0",
"p2",
"p3",
"p11",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 829626802858236877709157
% SZS output start Proof for 829626802858236877709157
1. ! [X0] : ((funny(X0) & ~kind(X0)) <=> (~creative(X0) | happy(X0))) [input p0]
3. ? [X0] : (kind(X0) | creative(X0)) => ~calm(fred) [input p2]
4. ! [X0] : ((~happy(X0) & ~old(X0)) <=> (curious(X0) | strong(X0... | 0 |
If someone is both not funny and curious then someone is creative. If lucy is both not old and humble then susan is curious. Everyone who is not funny or funny is funny or not patient and vice versa. Everyone who is happy or not curious is tall and vice versa. Everyone who is both not wise and funny is not brave or str... | Mary is kind. | neutral | ((?[X]:((~funny(X)&curious(X))))=>(?[X]:(creative(X))))&
(((~old(lucy)&humble(lucy)))=>(curious(susan)))&
(![X]:((~funny(X)|funny(X))<=>(funny(X)|~patient(X))))&
(![X]:((happy(X)|~curious(X))<=>tall(X)))&
(![X]:((~wise(X)&funny(X))=>(~brave(X)|strong(X))))&
(![X]:((brave(X)|~humble(X))<=>~generous(X)))&
(![X]:((rich(X)... | kind(mary) | [] | null | 0 |
If mary is not patient then someone is not patient. If paul is not kind then lucy is humble and vice versa. Everyone who is either kind or wise is not curious and vice versa. Everyone who is either strong or brave is both not generous and rich. If lucy is not tall then lucy is humble and vice versa. Everyone who is eit... | John is not rich. | contradiction | ((~patient(mary))=>(?[X]:(~patient(X))))&
((~kind(paul))<=>(humble(lucy)))&
(![X]:((kind(X)<~>wise(X))<=>~curious(X)))&
(![X]:((strong(X)<~>brave(X))=>(~generous(X)&rich(X))))&
((~tall(lucy))<=>(humble(lucy)))&
(![X]:((~strong(X)<~>~creative(X))<=>~creative(X)))&
((~strong(paul))=>(?[X]:(quiet(X))))&
(![X]:(~curious(X)... | ~rich(john) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 910905536485659894615005
% SZS output start Proof for 910905536485659894615005
22. rich(john) [input p21]
23. ~rich(john) [input hypothesis]
120. rich(john) [cnf transformation 22]
121. ~rich(john) [cnf transformation 23]
214. $false [subsumption resolution 121,120]
% SZS output end Proof... | 0 |
Everyone who is not old or humble is humble.
Everyone who is either not brave or patient is both humble and curious.
Everyone who is creative is both calm and not funny and vice versa.
If someone is calm then lucy is both patient and old.
If someone is either not calm or creative then someone is not calm and vice versa... | Fred is not quiet. | neutral | (![X]:((~old(X)|humble(X))=>humble(X)))&
(![X]:((~brave(X)<~>patient(X))=>(humble(X)&curious(X))))&
(![X]:(creative(X)<=>(calm(X)&~funny(X))))&
((?[X]:(calm(X)))=>((patient(lucy)&old(lucy))))&
((?[X]:((~calm(X)<~>creative(X))))<=>(?[X]:(~calm(X))))&
(![X]:((~curious(X)&~brave(X))<=>~rich(X)))&
(![X]:((~happy(X)<~>~old(... | ~quiet(fred) | [] | null | 0 |
If mary is not generous or not tall then john is old or patient. Everyone who is not brave is not brave or strong. Everyone who is wise is not old and vice versa. If someone is creative or not patient then someone is either rich or funny and vice versa. Everyone who is wise or patient is tall or creative and vice versa... | Alice is not wise. | contradiction | (((~generous(mary)|~tall(mary)))=>((old(john)|patient(john))))&
(![X]:(~brave(X)=>(~brave(X)|strong(X))))&
(![X]:(wise(X)<=>~old(X)))&
((?[X]:((creative(X)|~patient(X))))<=>(?[X]:((rich(X)<~>funny(X)))))&
(![X]:((wise(X)|patient(X))<=>(tall(X)|creative(X))))&
(![X]:((humble(X)<~>~creative(X))=>old(X)))&
(![X]:((tall(X)... | ~wise(alice) | [
"p4",
"p7",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1249639968883580914145811
% SZS output start Proof for 1249639968883580914145811
5. ! [X0] : ((patient(X0) | wise(X0)) <=> (creative(X0) | tall(X0))) [input p4]
8. (~patient(susan) <~> ~funny(susan)) <=> ~curious(alice) [input p7]
10. ! [X0] : ((~funny(X0) | ~curious(X0)) <=> (kind(X0) | ... | 0 |
Everyone who is not creative or not brave is wise or not tall and vice versa. If john is not curious then someone is not wise or not strong and vice versa. Everyone who is both old and creative is either strong or not wise and vice versa. If paul is not brave then alice is brave and vice versa. If mary is creative or n... | Alice is not old. | contradiction | (![X]:((~creative(X)|~brave(X))<=>(wise(X)|~tall(X))))&
((~curious(john))<=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X)<~>~funny(X))<=>brave(X)))&
(((~kind... | ~old(alice) | [
"p2",
"p3",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4213547495961177277984620
% SZS output start Proof for 4213547495961177277984620
3. ! [X0] : ((creative(X0) & old(X0)) <=> (strong(X0) <~> ~wise(X0))) [input p2]
4. ~brave(paul) <=> brave(alice) [input p3]
16. ! [X0] : ((strong(X0) | happy(X0)) <=> (~wise(X0) & brave(X0))) [input p15]
17.... | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa. Everyone who is not kind or not funny is either wise or not funny and vice versa. Everyone who is either quiet or not kind is quiet or kind. If alice is not patient then mary is either creative or not brave. Everyone who is both t... | Mary is tall. | entailment | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | tall(mary) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2886164831799445708110722
% SZS output start Proof for 2886164831799445708110722
2. ! [X0] : ((~funny(X0) | ~kind(X0)) <=> (wise(X0) <~> ~funny(X0))) [input p1]
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (rich(X0) & tall(X0))) [input p5]
22. ~tall(mary) [input hypothesis]
40. ! [X0] : (((~f... | 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... | Susan is strong. | 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)<~>~... | strong(susan) | [] | null | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa.
If lucy is not patient then someone is both not patient and creative and vice versa.
Everyone who is kind or strong is quiet.
If fred is either calm or not calm then paul is not strong.
Everyone who is not patient or not generous ... | Fred is curious. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:((kind(X)|strong(X))=>quiet(X)))&
(((calm(fred)<~>~calm(fred)))=>(~strong(paul)))&
(![X]:((~patient(X)|~generous(X))=>(~strong(X)&funny(X))))&
((~strong(fred))<=>(?[X]:((~creative(X)&generous(X)))))&... | curious(fred) | [
"p2",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3659479083565346277421286
% SZS output start Proof for 3659479083565346277421286
3. ! [X0] : ((strong(X0) | kind(X0)) => quiet(X0)) [input p2]
10. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p9]
11. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input ... | 0 |
Everyone who is either calm or not kind is either wise or creative and vice versa.
If john is both rich and not wise then someone is both brave and not curious and vice versa.
If someone is either tall or patient then alice is either not calm or not quiet.
If someone is either creative or not patient then susan is eith... | Paul is not old. | entailment | (![X]:((calm(X)<~>~kind(X))<=>(wise(X)<~>creative(X))))&
(((rich(john)&~wise(john)))<=>(?[X]:((brave(X)&~curious(X)))))&
((?[X]:((tall(X)<~>patient(X))))=>((~calm(alice)<~>~quiet(alice))))&
((?[X]:((creative(X)<~>~patient(X))))<=>((funny(susan)<~>kind(susan))))&
((?[X]:((humble(X)|~wise(X))))=>((old(lucy)&patient(lucy)... | ~old(paul) | [
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4663584418896578764205513
% SZS output start Proof for 4663584418896578764205513
12. ! [X0] : ((~tall(X0) | ~wise(X0)) => (~old(X0) & ~humble(X0))) [input p11]
16. ! [X0] : (tall(X0) => (quiet(X0) & kind(X0))) [input p15]
24. ~quiet(paul) [input p23]
25. old(paul) [input hypothesis]
29. !... | 0 |
Everyone who is kind is not wise or tall.
If someone is both not funny and not patient then someone is brave.
Everyone who is either curious or kind is not curious.
Everyone who is creative or old is not calm and vice versa.
Everyone who is not creative is not tall or funny and vice versa.
Everyone who is either not hu... | Susan is not wise. | neutral | (![X]:(kind(X)=>(~wise(X)|tall(X))))&
((?[X]:((~funny(X)&~patient(X))))=>(?[X]:(brave(X))))&
(![X]:((curious(X)<~>kind(X))=>~curious(X)))&
(![X]:((creative(X)|old(X))<=>~calm(X)))&
(![X]:(~creative(X)<=>(~tall(X)|funny(X))))&
(![X]:((~humble(X)<~>~kind(X))=>~patient(X)))&
((?[X]:(~happy(X)))=>((~happy(mary)|~wise(mary)... | ~wise(susan) | [] | null | 0 |
Everyone who is both not quiet and not generous is happy or not brave.
Everyone who is strong is not generous or rich.
If paul is not patient or kind then lucy is either brave or quiet.
Everyone who is not patient or not quiet is not calm.
If alice is both not calm and not curious then mary is not kind and vice versa.
... | Alice is not patient. | neutral | (![X]:((~quiet(X)&~generous(X))=>(happy(X)|~brave(X))))&
(![X]:(strong(X)=>(~generous(X)|rich(X))))&
(((~patient(paul)|kind(paul)))=>((brave(lucy)<~>quiet(lucy))))&
(![X]:((~patient(X)|~quiet(X))=>~calm(X)))&
(((~calm(alice)&~curious(alice)))<=>(~kind(mary)))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&~brave(X))))&
((?[... | ~patient(alice) | [] | null | 0 |
If john is either not patient or old then someone is either not creative or humble.
Everyone who is both not wise and not patient is either strong or old and vice versa.
Everyone who is calm or not creative is either not old or not curious.
Everyone who is both not wise and not old is both not humble and not kind.
Ever... | Lucy is not calm. | entailment | (((~patient(john)<~>old(john)))=>(?[X]:((~creative(X)<~>humble(X)))))&
(![X]:((~wise(X)&~patient(X))<=>(strong(X)<~>old(X))))&
(![X]:((calm(X)|~creative(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~wise(X)&~old(X))=>(~humble(X)&~kind(X))))&
(![X]:((~brave(X)|~funny(X))=>~calm(X)))&
((?[X]:((~generous(X)|~kind(X))))<=>(~fun... | ~calm(lucy) | [
"p4",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4097947187600528772366684
% SZS output start Proof for 4097947187600528772366684
5. ! [X0] : ((~funny(X0) | ~brave(X0)) => ~calm(X0)) [input p4]
6. ? [X0] : (~kind(X0) | ~generous(X0)) <=> ~funny(lucy) [input p5]
15. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (~happy(X0) | brave(X0))) [input p... | 0 |
Everyone who is creative is not humble or patient and vice versa.
If someone is creative or wise then alice is both not tall and not rich.
Everyone who is either creative or not generous is either not curious or strong and vice versa.
If mary is both not curious and not strong then mary is not humble and vice versa.
If... | Alice is not creative. | contradiction | (![X]:(creative(X)<=>(~humble(X)|patient(X))))&
((?[X]:((creative(X)|wise(X))))=>((~tall(alice)&~rich(alice))))&
(![X]:((creative(X)<~>~generous(X))<=>(~curious(X)<~>strong(X))))&
(((~curious(mary)&~strong(mary)))<=>(~humble(mary)))&
(((old(lucy)&~humble(lucy)))<=>(?[X]:((patient(X)|curious(X)))))&
(((~quiet(john)&rich... | ~creative(alice) | [
"p0",
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 889671083558050257719653
% SZS output start Proof for 889671083558050257719653
1. ! [X0] : (creative(X0) <=> (patient(X0) | ~humble(X0))) [input p0]
2. ? [X0] : (wise(X0) | creative(X0)) => (~rich(alice) & ~tall(alice)) [input p1]
14. ! [X0] : ((~rich(X0) | wise(X0)) <=> (rich(X0) | ~humb... | 0 |
If susan is either patient or not funny then alice is both strong and happy.
If mary is not rich or happy then someone is not patient and vice versa.
Everyone who is strong is not rich or quiet and vice versa.
If someone is kind then lucy is both quiet and happy and vice versa.
Everyone who is both old and not strong i... | Fred is not generous. | neutral | (((patient(susan)<~>~funny(susan)))=>((strong(alice)&happy(alice))))&
(((~rich(mary)|happy(mary)))<=>(?[X]:(~patient(X))))&
(![X]:(strong(X)<=>(~rich(X)|quiet(X))))&
((?[X]:(kind(X)))<=>((quiet(lucy)&happy(lucy))))&
(![X]:((old(X)&~strong(X))=>(~funny(X)<~>patient(X))))&
(![X]:((~strong(X)|~generous(X))<=>(~wise(X)<~>~... | ~generous(fred) | [] | null | 0 |
If someone is both not calm and not generous then someone is both old and funny and vice versa.
Everyone who is either kind or calm is either not happy or strong.
If someone is either not quiet or patient then someone is both old and not creative and vice versa.
Everyone who is both rich and not brave is either not ric... | Alice is strong. | contradiction | ((?[X]:((~calm(X)&~generous(X))))<=>(?[X]:((old(X)&funny(X)))))&
(![X]:((kind(X)<~>calm(X))=>(~happy(X)<~>strong(X))))&
((?[X]:((~quiet(X)<~>patient(X))))<=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((rich(X)&~brave(X))<=>(~rich(X)<~>~funny(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(?[X]:((~brave(X)&funny(X)))))&
((?[X]:((cal... | strong(alice) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8607609185093696969653048
% SZS output start Proof for 8607609185093696969653048
3. ? [X0] : (~quiet(X0) <~> patient(X0)) <=> ? [X0] : (~creative(X0) & old(X0)) [input p2]
4. ! [X0] : ((~brave(X0) & rich(X0)) <=> (~rich(X0) <~> ~funny(X0))) [input p3]
5. ? [X0] : (~quiet(X0) | old(X0)) <=... | 0 |
Everyone who is either not calm or not brave is not calm or humble and vice versa.
If someone is creative then someone is both not calm and humble.
Everyone who is funny is both happy and calm and vice versa.
Everyone who is either not curious or patient is both not quiet and old and vice versa.
If paul is funny then j... | John is brave. | entailment | (![X]:((~calm(X)<~>~brave(X))<=>(~calm(X)|humble(X))))&
((?[X]:(creative(X)))=>(?[X]:((~calm(X)&humble(X)))))&
(![X]:(funny(X)<=>(happy(X)&calm(X))))&
(![X]:((~curious(X)<~>patient(X))<=>(~quiet(X)&old(X))))&
((funny(paul))=>((~rich(john)|rich(john))))&
((?[X]:(funny(X)))=>((~kind(alice)<~>curious(alice))))&
((?[X]:((~... | brave(john) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5794912766068181028120693
% SZS output start Proof for 5794912766068181028120693
1. ! [X0] : ((~calm(X0) <~> ~brave(X0)) <=> (humble(X0) | ~calm(X0))) [input p0]
16. ~humble(john) & quiet(john) [input p15]
24. ~brave(john) [input hypothesis]
34. ! [X0] : ((((brave(X0) | calm(X0)) & (~brav... | 0 |
Everyone who is both not curious and kind is not quiet.
If fred is not patient or not brave then alice is both not patient and curious and vice versa.
Everyone who is either not kind or not funny is either curious or not wise and vice versa.
If someone is either not calm or not patient then susan is not tall and vice v... | Lucy is old. | entailment | (![X]:((~curious(X)&kind(X))=>~quiet(X)))&
(((~patient(fred)|~brave(fred)))<=>((~patient(alice)&curious(alice))))&
(![X]:((~kind(X)<~>~funny(X))<=>(curious(X)<~>~wise(X))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>(~tall(susan)))&
((?[X]:((~generous(X)|wise(X))))=>(?[X]:((~quiet(X)|tall(X)))))&
(![X]:(old(X)<=>(~wise(X)|w... | old(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 113585139630776457747366
% SZS output start Proof for 113585139630776457747366
6. ! [X0] : (old(X0) <=> (wise(X0) | ~wise(X0))) [input p5]
23. ~old(lucy) [input hypothesis]
49. ! [X0] : ((old(X0) | (~wise(X0) & wise(X0))) & ((wise(X0) | ~wise(X0)) | ~old(X0))) [nnf transformation 6]
50. !... | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is both rich and not patient and vice versa.
Everyone who is either wise or kind is happy and vice versa.
If lucy is not tall or not happy then lucy is either strong or not quiet and vice versa.
If mary is not creative then... | Lucy is not strong. | entailment | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((wise(X)<~>kind(X))<=>happy(X)))&
(((~tall(lucy)|~happy(lucy)))<=>((strong(lucy)<~>~quiet(lucy))))&
((~creative(mary))=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:(wise(X)<=>(~funny(X)<~>~strong(X))))&
(![X]:((... | ~strong(lucy) | [
"p8",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4684035211401145377274341
% SZS output start Proof for 4684035211401145377274341
9. ! [X0] : ((humble(X0) & brave(X0)) <=> (~generous(X0) | ~rich(X0))) [input p8]
14. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (strong(X0) & ~strong(X0))) [input p13]
22. ~generous(lucy) [input p21]
25. stro... | 0 |
If someone is not generous then alice is not patient or funny and vice versa.
If lucy is not happy or not kind then someone is not funny or creative.
If someone is strong or not strong then someone is both not strong and patient and vice versa.
Everyone who is either generous or not generous is creative and vice versa.... | Paul is not rich. | contradiction | ((?[X]:(~generous(X)))<=>((~patient(alice)|funny(alice))))&
(((~happy(lucy)|~kind(lucy)))=>(?[X]:((~funny(X)|creative(X)))))&
((?[X]:((strong(X)|~strong(X))))<=>(?[X]:((~strong(X)&patient(X)))))&
(![X]:((generous(X)<~>~generous(X))<=>creative(X)))&
(((rich(lucy)<~>~kind(lucy)))=>((~old(alice)<~>~patient(alice))))&
(![X... | ~rich(paul) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 927735781098538608292195
% SZS output start Proof for 927735781098538608292195
4. ! [X0] : ((generous(X0) <~> ~generous(X0)) <=> creative(X0)) [input p3]
7. ! [X0] : (creative(X0) <=> (curious(X0) & rich(X0))) [input p6]
19. ~rich(paul) [input hypothesis]
50. ! [X0] : ((((generous(X0) | ~... | 0 |
Everyone who is rich or patient is both not tall and strong.
If someone is not wise or calm then fred is not humble.
If someone is not generous or not tall then mary is creative and vice versa.
Everyone who is not wise is either kind or funny and vice versa.
If someone is wise then someone is generous or not wise and v... | Alice is kind. | entailment | (![X]:((rich(X)|patient(X))=>(~tall(X)&strong(X))))&
((?[X]:((~wise(X)|calm(X))))=>(~humble(fred)))&
((?[X]:((~generous(X)|~tall(X))))<=>(creative(mary)))&
(![X]:(~wise(X)<=>(kind(X)<~>funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((kind(X)&happy(X))<=>~funny(X)))&
(![X]:(generous(X)<=>(~funn... | kind(alice) | [
"p3",
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2669936101281824847262056
% SZS output start Proof for 2669936101281824847262056
4. ! [X0] : (~wise(X0) <=> (kind(X0) <~> funny(X0))) [input p3]
6. ! [X0] : ((happy(X0) & kind(X0)) <=> ~funny(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> (~funny(X0) <~> wise(X0))) [input p6]
11. ! [X0] : ... | 0 |
If someone is not brave or curious then someone is either not funny or rich.
Everyone who is rich is not patient.
Everyone who is either tall or creative is both not curious and old and vice versa.
If mary is either not humble or tall then someone is wise or not kind.
Everyone who is either kind or rich is patient or n... | John is calm. | entailment | ((?[X]:((~brave(X)|curious(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((tall(X)<~>creative(X))<=>(~curious(X)&old(X))))&
(((~humble(mary)<~>tall(mary)))=>(?[X]:((wise(X)|~kind(X)))))&
(![X]:((kind(X)<~>rich(X))=>(patient(X)|~rich(X))))&
((?[X]:((~curious(X)|~patient(X))))<=>((tall(mary... | calm(john) | [
"p1",
"p4",
"p6",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5218772939783607493522469
% SZS output start Proof for 5218772939783607493522469
2. ! [X0] : (rich(X0) => ~patient(X0)) [input p1]
5. ! [X0] : ((kind(X0) <~> rich(X0)) => (~rich(X0) | patient(X0))) [input p4]
7. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> quiet(X0)) [input p6]
13. ? [X0] : (~ri... | 0 |
If someone is not strong then someone is quiet and vice versa.
If someone is both not wise and not brave then mary is wise.
Everyone who is not funny or funny is both generous and kind.
If someone is brave then fred is strong or generous.
Everyone who is rich or not wise is not curious or not quiet and vice versa.
Ever... | Fred is tall. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:(quiet(X))))&
((?[X]:((~wise(X)&~brave(X))))=>(wise(mary)))&
(![X]:((~funny(X)|funny(X))=>(generous(X)&kind(X))))&
((?[X]:(brave(X)))=>((strong(fred)|generous(fred))))&
(![X]:((rich(X)|~wise(X))<=>(~curious(X)|~quiet(X))))&
(![X]:((~strong(X)|tall(X))=>(tall(X)<~>generous(X))))&
(![X]:((cal... | tall(fred) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7481361637741699959270419
% SZS output start Proof for 7481361637741699959270419
3. ! [X0] : ((funny(X0) | ~funny(X0)) => (kind(X0) & generous(X0))) [input p2]
6. ! [X0] : ((tall(X0) | ~strong(X0)) => (tall(X0) <~> generous(X0))) [input p5]
24. tall(fred) [input hypothesis]
28. ! [X0] : (... | 0 |
If someone is either not rich or not quiet then lucy is either not creative or not strong.
If someone is kind or calm then lucy is both not calm and rich.
Everyone who is not rich or rich is generous or humble.
Everyone who is either rich or not quiet is kind or happy.
Everyone who is both brave and old is either happy... | Paul is not rich. | entailment | ((?[X]:((~rich(X)<~>~quiet(X))))=>((~creative(lucy)<~>~strong(lucy))))&
((?[X]:((kind(X)|calm(X))))=>((~calm(lucy)&rich(lucy))))&
(![X]:((~rich(X)|rich(X))=>(generous(X)|humble(X))))&
(![X]:((rich(X)<~>~quiet(X))=>(kind(X)|happy(X))))&
(![X]:((brave(X)&old(X))=>(happy(X)<~>~kind(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~hu... | ~rich(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6001830121867952337473078
% SZS output start Proof for 6001830121867952337473078
14. ! [X0] : ((calm(X0) | ~calm(X0)) => (patient(X0) & ~rich(X0))) [input p13]
23. rich(paul) [input hypothesis]
38. ! [X0] : ((patient(X0) & ~rich(X0)) | (~calm(X0) & calm(X0))) [ennf transformation 14]
119.... | 0 |
Everyone who is not patient is patient or creative and vice versa.
Everyone who is either not generous or humble is both curious and not brave and vice versa.
If alice is funny or not wise then someone is both calm and creative and vice versa.
Everyone who is humble or funny is both strong and not old.
If someone is no... | Lucy is not wise. | contradiction | (![X]:(~patient(X)<=>(patient(X)|creative(X))))&
(![X]:((~generous(X)<~>humble(X))<=>(curious(X)&~brave(X))))&
(((funny(alice)|~wise(alice)))<=>(?[X]:((calm(X)&creative(X)))))&
(![X]:((humble(X)|funny(X))=>(strong(X)&~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~funny(X)&~kind(X)))))&
(((~kind(john)<~>kind(john)))<=>((bra... | ~wise(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5095556188797388018642086
% SZS output start Proof for 5095556188797388018642086
15. ! [X0] : ((~curious(X0) <~> curious(X0)) => (wise(X0) & happy(X0))) [input p14]
25. ~wise(lucy) [input hypothesis]
35. ! [X0] : ((wise(X0) & happy(X0)) | (~curious(X0) <=> curious(X0))) [ennf transformati... | 0 |
Everyone who is not wise is not creative or not happy.
Everyone who is patient or quiet is both not rich and generous.
If susan is not old then someone is both calm and old and vice versa.
Everyone who is happy or calm is both not humble and not rich.
If someone is not tall then someone is both old and not quiet.
If al... | Mary is not quiet. | entailment | (![X]:(~wise(X)=>(~creative(X)|~happy(X))))&
(![X]:((patient(X)|quiet(X))=>(~rich(X)&generous(X))))&
((~old(susan))<=>(?[X]:((calm(X)&old(X)))))&
(![X]:((happy(X)|calm(X))=>(~humble(X)&~rich(X))))&
((?[X]:(~tall(X)))=>(?[X]:((old(X)&~quiet(X)))))&
(((~tall(alice)|tall(alice)))=>((tall(lucy)<~>~wise(lucy))))&
(![X]:((ge... | ~quiet(mary) | [
"p1",
"p6",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 388489482809065773640981
% SZS output start Proof for 388489482809065773640981
2. ! [X0] : ((quiet(X0) | patient(X0)) => (generous(X0) & ~rich(X0))) [input p1]
7. ! [X0] : ((~patient(X0) & generous(X0)) <=> (rich(X0) & ~wise(X0))) [input p6]
15. ! [X0] : ((creative(X0) | happy(X0)) <=> (~... | 0 |
Everyone who is either tall or not curious is both not kind and curious and vice versa.
Everyone who is both tall and not rich is both creative and curious.
Everyone who is kind is brave and vice versa.
If someone is funny or generous then mary is tall or not patient.
If someone is either humble or tall then alice is q... | Fred is not curious. | contradiction | (![X]:((tall(X)<~>~curious(X))<=>(~kind(X)&curious(X))))&
(![X]:((tall(X)&~rich(X))=>(creative(X)&curious(X))))&
(![X]:(kind(X)<=>brave(X)))&
((?[X]:((funny(X)|generous(X))))=>((tall(mary)|~patient(mary))))&
((?[X]:((humble(X)<~>tall(X))))<=>(quiet(alice)))&
(((~old(alice)&rich(alice)))=>(?[X]:((patient(X)&~quiet(X))))... | ~curious(fred) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p7",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2983782817661368158276275
% SZS output start Proof for 2983782817661368158276275
1. ! [X0] : ((tall(X0) <~> ~curious(X0)) <=> (curious(X0) & ~kind(X0))) [input p0]
2. ! [X0] : ((~rich(X0) & tall(X0)) => (curious(X0) & creative(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> brave(X0)) [input p... | 0 |
Everyone who is both patient and not kind is not strong or not tall. If someone is both patient and not old then john is not generous or rich and vice versa. If someone is either creative or not wise then lucy is either not funny or not calm. Everyone who is not rich or not funny is either not curious or not patient an... | John is not creative. | neutral | (![X]:((patient(X)&~kind(X))=>(~strong(X)|~tall(X))))&
((?[X]:((patient(X)&~old(X))))<=>((~generous(john)|rich(john))))&
((?[X]:((creative(X)<~>~wise(X))))=>((~funny(lucy)<~>~calm(lucy))))&
(![X]:((~rich(X)|~funny(X))<=>(~curious(X)<~>~patient(X))))&
((?[X]:((~brave(X)&tall(X))))<=>(?[X]:((~curious(X)|curious(X)))))&
(... | ~creative(john) | [] | null | 0 |
Everyone who is both quiet and kind is both humble and not tall.
If john is either patient or not happy then someone is not brave.
If someone is not brave or patient then mary is either kind or not strong and vice versa.
If lucy is calm then someone is not happy.
If paul is either kind or not curious then susan is kind... | Alice is not funny. | neutral | (![X]:((quiet(X)&kind(X))=>(humble(X)&~tall(X))))&
(((patient(john)<~>~happy(john)))=>(?[X]:(~brave(X))))&
((?[X]:((~brave(X)|patient(X))))<=>((kind(mary)<~>~strong(mary))))&
((calm(lucy))=>(?[X]:(~happy(X))))&
(((kind(paul)<~>~curious(paul)))<=>(kind(susan)))&
((~old(john))=>(?[X]:(~funny(X))))&
((?[X]:(~rich(X)))=>(?... | ~funny(alice) | [] | null | 0 |
Everyone who is happy or funny is both patient and not happy.
Everyone who is old or not quiet is not wise.
Everyone who is kind or not wise is both kind and not wise.
Everyone who is not strong or not rich is both not brave and not humble.
Everyone who is either not happy or generous is either humble or generous and v... | Mary is generous. | entailment | (![X]:((happy(X)|funny(X))=>(patient(X)&~happy(X))))&
(![X]:((old(X)|~quiet(X))=>~wise(X)))&
(![X]:((kind(X)|~wise(X))=>(kind(X)&~wise(X))))&
(![X]:((~strong(X)|~rich(X))=>(~brave(X)&~humble(X))))&
(![X]:((~happy(X)<~>generous(X))<=>(humble(X)<~>generous(X))))&
(![X]:((~quiet(X)<~>strong(X))<=>~happy(X)))&
(((patient(p... | generous(mary) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3103668401138709939765588
% SZS output start Proof for 3103668401138709939765588
1. ! [X0] : ((funny(X0) | happy(X0)) => (~happy(X0) & patient(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | old(X0)) => ~wise(X0)) [input p1]
3. ! [X0] : ((~wise(X0) | kind(X0)) => (~wise(X0) & kind(X0))) [inpu... | 0 |
Everyone who is not humble or not creative is either not calm or generous and vice versa. If someone is not calm then susan is not kind or not strong and vice versa. Everyone who is both funny and not generous is not generous and vice versa. Everyone who is both not calm and creative is not curious and vice versa. If j... | Paul is not humble. | entailment | (![X]:((~humble(X)|~creative(X))<=>(~calm(X)<~>generous(X))))&
((?[X]:(~calm(X)))<=>((~kind(susan)|~strong(susan))))&
(![X]:((funny(X)&~generous(X))<=>~generous(X)))&
(![X]:((~calm(X)&creative(X))<=>~curious(X)))&
(((~calm(john)&~generous(john)))=>(?[X]:((curious(X)&~patient(X)))))&
((~rich(john))<=>(?[X]:((~funny(X)<~... | ~humble(paul) | [
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7338651443261040068147094
% SZS output start Proof for 7338651443261040068147094
9. ! [X0] : (quiet(X0) => ~quiet(X0)) [input p8]
12. ! [X0] : ((~old(X0) | ~quiet(X0)) => (brave(X0) & calm(X0))) [input p11]
16. ~brave(paul) <~> ~humble(paul) [input p15]
24. humble(paul) [input hypothesis]... | 0 |
If someone is not old then someone is both not wise and not calm and vice versa.
Everyone who is not calm or not tall is either old or not humble and vice versa.
Everyone who is patient or wise is both humble and not old and vice versa.
Everyone who is creative or funny is creative or quiet.
If someone is both not tall... | Lucy is not strong. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&~calm(X)))))&
(![X]:((~calm(X)|~tall(X))<=>(old(X)<~>~humble(X))))&
(![X]:((patient(X)|wise(X))<=>(humble(X)&~old(X))))&
(![X]:((creative(X)|funny(X))=>(creative(X)|quiet(X))))&
((?[X]:((~tall(X)&humble(X))))=>(brave(susan)))&
(![X]:((~wise(X)&~curious(X))<=>(~happy(X)&~calm(X))))&
... | ~strong(lucy) | [
"p1",
"p2",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 421158966539851528254849
% SZS output start Proof for 421158966539851528254849
2. ! [X0] : ((~tall(X0) | ~calm(X0)) <=> (old(X0) <~> ~humble(X0))) [input p1]
3. ! [X0] : ((wise(X0) | patient(X0)) <=> (~old(X0) & humble(X0))) [input p2]
9. ! [X0] : (calm(X0) => (humble(X0) & ~calm(X0))) [i... | 0 |
Everyone who is not kind is not curious or patient and vice versa. If someone is patient then someone is both old and not curious and vice versa. If someone is not calm or funny then someone is tall and vice versa. If paul is not old then someone is either old or calm. If mary is humble then lucy is either creative or ... | Fred is humble. | neutral | (![X]:(~kind(X)<=>(~curious(X)|patient(X))))&
((?[X]:(patient(X)))<=>(?[X]:((old(X)&~curious(X)))))&
((?[X]:((~calm(X)|funny(X))))<=>(?[X]:(tall(X))))&
((~old(paul))=>(?[X]:((old(X)<~>calm(X)))))&
((humble(mary))<=>((creative(lucy)<~>~wise(lucy))))&
(![X]:((rich(X)&~rich(X))=>(humble(X)|rich(X))))&
(![X]:((~patient(X)<... | humble(fred) | [] | null | 0 |
If someone is both not quiet and not happy then someone is both not creative and not humble and vice versa.
If someone is not creative or old then someone is either funny or not generous.
Everyone who is either not tall or not funny is not humble or curious and vice versa.
If fred is not wise then someone is either not... | Mary is old. | neutral | ((?[X]:((~quiet(X)&~happy(X))))<=>(?[X]:((~creative(X)&~humble(X)))))&
((?[X]:((~creative(X)|old(X))))=>(?[X]:((funny(X)<~>~generous(X)))))&
(![X]:((~tall(X)<~>~funny(X))<=>(~humble(X)|curious(X))))&
((~wise(fred))=>(?[X]:((~generous(X)<~>~patient(X)))))&
(![X]:((rich(X)|funny(X))=>(generous(X)&wise(X))))&
(![X]:(~gene... | old(mary) | [] | null | 0 |
Everyone who is either kind or happy is either not humble or wise.
If someone is not funny then mary is not patient and vice versa.
Everyone who is both generous and wise is both tall and patient.
Everyone who is funny or not quiet is both not patient and not curious and vice versa.
If someone is both strong and humble... | Fred is not generous. | neutral | (![X]:((kind(X)<~>happy(X))=>(~humble(X)<~>wise(X))))&
((?[X]:(~funny(X)))<=>(~patient(mary)))&
(![X]:((generous(X)&wise(X))=>(tall(X)&patient(X))))&
(![X]:((funny(X)|~quiet(X))<=>(~patient(X)&~curious(X))))&
((?[X]:((strong(X)&humble(X))))=>(?[X]:((~wise(X)&~calm(X)))))&
((generous(mary))=>((~calm(fred)&tall(fred))))&... | ~generous(fred) | [] | null | 0 |
If alice is either patient or tall then paul is not quiet or not creative.
Everyone who is not funny is either calm or funny and vice versa.
If someone is both not strong and not calm then lucy is creative or not brave and vice versa.
Everyone who is either not strong or tall is calm or not creative.
Everyone who is no... | Lucy is calm. | entailment | (((patient(alice)<~>tall(alice)))=>((~quiet(paul)|~creative(paul))))&
(![X]:(~funny(X)<=>(calm(X)<~>funny(X))))&
((?[X]:((~strong(X)&~calm(X))))<=>((creative(lucy)|~brave(lucy))))&
(![X]:((~strong(X)<~>tall(X))=>(calm(X)|~creative(X))))&
(![X]:((~patient(X)|~brave(X))=>~strong(X)))&
((?[X]:((strong(X)<~>funny(X))))=>(~... | calm(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3972081242907330434507338
% SZS output start Proof for 3972081242907330434507338
2. ! [X0] : (~funny(X0) <=> (calm(X0) <~> funny(X0))) [input p1]
25. ~calm(lucy) [input hypothesis]
42. ! [X0] : ((~funny(X0) | ((calm(X0) | ~funny(X0)) & (funny(X0) | ~calm(X0)))) & (((~funny(X0) | ~calm(X0)... | 0 |
Everyone who is funny or not tall is quiet and vice versa.
If fred is not funny or not happy then someone is either quiet or not generous and vice versa.
If alice is not curious then someone is calm and vice versa.
Everyone who is either not calm or humble is not creative or not funny.
Everyone who is both not tall and... | Alice is not strong. | contradiction | (![X]:((funny(X)|~tall(X))<=>quiet(X)))&
(((~funny(fred)|~happy(fred)))<=>(?[X]:((quiet(X)<~>~generous(X)))))&
((~curious(alice))<=>(?[X]:(calm(X))))&
(![X]:((~calm(X)<~>humble(X))=>(~creative(X)|~funny(X))))&
(![X]:((~tall(X)&~quiet(X))<=>(humble(X)|~strong(X))))&
(((~old(john)|~wise(john)))<=>(curious(paul)))&
(![X]:... | ~strong(alice) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1027251666664976566823319
% SZS output start Proof for 1027251666664976566823319
1. ! [X0] : ((~tall(X0) | funny(X0)) <=> quiet(X0)) [input p0]
5. ! [X0] : ((~quiet(X0) & ~tall(X0)) <=> (~strong(X0) | humble(X0))) [input p4]
25. ~strong(alice) [input hypothesis]
35. ! [X0] : (((~tall(X0) ... | 0 |
If alice is old or strong then lucy is both rich and calm and vice versa.
Everyone who is not tall or rich is either not quiet or not kind and vice versa.
Everyone who is not wise or not quiet is both kind and rich.
If alice is not creative or not generous then someone is not curious or not old.
If someone is not gener... | Susan is old. | neutral | (((old(alice)|strong(alice)))<=>((rich(lucy)&calm(lucy))))&
(![X]:((~tall(X)|rich(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:((~wise(X)|~quiet(X))=>(kind(X)&rich(X))))&
(((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generous(X)))=>((creative(lucy)&patient(lucy))))&
(![X]:((rich(X)&kind(X))... | old(susan) | [] | null | 0 |
Everyone who is either not humble or humble is not patient and vice versa.
If john is calm then mary is not strong or not funny.
Everyone who is either calm or not kind is either wise or creative and vice versa.
If john is both rich and not wise then someone is both brave and not curious and vice versa.
If someone is e... | Susan is not wise. | contradiction | (![X]:((~humble(X)<~>humble(X))<=>~patient(X)))&
((calm(john))=>((~strong(mary)|~funny(mary))))&
(![X]:((calm(X)<~>~kind(X))<=>(wise(X)<~>creative(X))))&
(((rich(john)&~wise(john)))<=>(?[X]:((brave(X)&~curious(X)))))&
((?[X]:((tall(X)<~>patient(X))))=>((~calm(alice)<~>~quiet(alice))))&
((?[X]:((creative(X)<~>~patient(X... | ~wise(susan) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1632024239906527158354849
% SZS output start Proof for 1632024239906527158354849
1. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> ~patient(X0)) [input p0]
7. ? [X0] : (~wise(X0) | humble(X0)) => (patient(lucy) & old(lucy)) [input p6]
24. ~wise(susan) [input hypothesis]
28. (patient(lucy) & o... | 0 |
If paul is both creative and curious then john is either not patient or calm and vice versa.
If alice is either not generous or generous then someone is either not curious or not funny and vice versa.
Everyone who is both happy and not calm is both creative and not kind and vice versa.
Everyone who is not funny or crea... | John is not calm. | entailment | (((creative(paul)&curious(paul)))<=>((~patient(john)<~>calm(john))))&
(((~generous(alice)<~>generous(alice)))<=>(?[X]:((~curious(X)<~>~funny(X)))))&
(![X]:((happy(X)&~calm(X))<=>(creative(X)&~kind(X))))&
(![X]:((~funny(X)|creative(X))=>(~happy(X)|curious(X))))&
(![X]:((patient(X)|~old(X))=>~old(X)))&
(![X]:((calm(X)&~h... | ~calm(john) | [
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2759409814580622986423029
% SZS output start Proof for 2759409814580622986423029
12. ! [X0] : ((wise(X0) & creative(X0)) <=> (~patient(X0) | calm(X0))) [input p11]
18. ~wise(john) [input p17]
25. calm(john) [input hypothesis]
59. ! [X0] : (((wise(X0) & creative(X0)) | (patient(X0) & ~calm... | 0 |
Everyone who is both funny and not calm is not brave.
If someone is both not funny and quiet then someone is either generous or not quiet.
If susan is quiet then mary is not generous or strong.
If susan is both not tall and not generous then someone is either not wise or patient.
Everyone who is both not rich and stron... | Mary is generous. | neutral | (![X]:((funny(X)&~calm(X))=>~brave(X)))&
((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((generous(X)<~>~quiet(X)))))&
((quiet(susan))=>((~generous(mary)|strong(mary))))&
(((~tall(susan)&~generous(susan)))=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((~rich(X)&strong(X))<=>(quiet(X)|old(X))))&
(![X]:((curious(X)|calm(X))=>~wise(X... | generous(mary) | [] | null | 0 |
Everyone who is both not generous and wise is either not curious or not calm and vice versa.
If someone is not generous or not quiet then mary is both creative and brave.
If someone is not happy or not kind then someone is either tall or kind.
Everyone who is strong is both not kind and old and vice versa.
Everyone who... | Fred is not calm. | entailment | (![X]:((~generous(X)&wise(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~generous(X)|~quiet(X))))=>((creative(mary)&brave(mary))))&
((?[X]:((~happy(X)|~kind(X))))=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:(strong(X)<=>(~kind(X)&old(X))))&
(![X]:((creative(X)|~strong(X))=>(~calm(X)|~happy(X))))&
((?[X]:((~kind(X)<~>patient(X))... | ~calm(fred) | [
"p0",
"p6",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8110998197040682981515010
% SZS output start Proof for 8110998197040682981515010
1. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (~curious(X0) <~> ~calm(X0))) [input p0]
7. ! [X0] : (old(X0) => (strong(X0) & ~strong(X0))) [input p6]
10. ! [X0] : ((brave(X0) & curious(X0)) <=> (old(X0) & ~pati... | 0 |
If someone is both not calm and not brave then someone is creative or curious and vice versa.
Everyone who is either quiet or humble is either strong or not humble and vice versa.
If lucy is both not funny and generous then fred is both not generous and not happy and vice versa.
If lucy is both not rich and curious the... | Fred is humble. | neutral | ((?[X]:((~calm(X)&~brave(X))))<=>(?[X]:((creative(X)|curious(X)))))&
(![X]:((quiet(X)<~>humble(X))<=>(strong(X)<~>~humble(X))))&
(((~funny(lucy)&generous(lucy)))<=>((~generous(fred)&~happy(fred))))&
(((~rich(lucy)&curious(lucy)))=>(~kind(mary)))&
((?[X]:((brave(X)|kind(X))))=>(?[X]:((~humble(X)|~calm(X)))))&
(![X]:((ha... | humble(fred) | [] | null | 0 |
Everyone who is not happy or not kind is calm or brave.
If lucy is not kind then someone is either calm or generous and vice versa.
If susan is both calm and not funny then susan is both kind and not strong and vice versa.
Everyone who is wise or brave is funny or not calm and vice versa.
Everyone who is kind is not hu... | Susan is not strong. | contradiction | (![X]:((~happy(X)|~kind(X))=>(calm(X)|brave(X))))&
((~kind(lucy))<=>(?[X]:((calm(X)<~>generous(X)))))&
(((calm(susan)&~funny(susan)))<=>((kind(susan)&~strong(susan))))&
(![X]:((wise(X)|brave(X))<=>(funny(X)|~calm(X))))&
(![X]:(kind(X)<=>~humble(X)))&
(![X]:((~humble(X)|happy(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((kind(... | ~strong(susan) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2906611316035441781799268
% SZS output start Proof for 2906611316035441781799268
2. ~kind(lucy) <=> ? [X0] : (calm(X0) <~> generous(X0)) [input p1]
3. (~funny(susan) & calm(susan)) <=> (~strong(susan) & kind(susan)) [input p2]
5. ! [X0] : (kind(X0) <=> ~humble(X0)) [input p4]
8. ! [X0] : ... | 0 |
If someone is both tall and not calm then lucy is both not patient and not wise and vice versa.
Everyone who is not calm is either not quiet or not curious and vice versa.
If paul is both strong and happy then someone is old or quiet and vice versa.
If lucy is either tall or calm then john is both not humble and funny.... | Lucy is old. | neutral | ((?[X]:((tall(X)&~calm(X))))<=>((~patient(lucy)&~wise(lucy))))&
(![X]:(~calm(X)<=>(~quiet(X)<~>~curious(X))))&
(((strong(paul)&happy(paul)))<=>(?[X]:((old(X)|quiet(X)))))&
(((tall(lucy)<~>calm(lucy)))=>((~humble(john)&funny(john))))&
((?[X]:((tall(X)<~>funny(X))))<=>(?[X]:((generous(X)&~quiet(X)))))&
(![X]:((~patient(X... | old(lucy) | [] | null | 0 |
Everyone who is both happy and strong is not wise and vice versa.
Everyone who is either old or funny is both rich and strong and vice versa.
If paul is not brave then someone is not calm or quiet and vice versa.
Everyone who is either not generous or not kind is quiet or not humble and vice versa.
If someone is creati... | Fred is humble. | entailment | (![X]:((happy(X)&strong(X))<=>~wise(X)))&
(![X]:((old(X)<~>funny(X))<=>(rich(X)&strong(X))))&
((~brave(paul))<=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((~generous(X)<~>~kind(X))<=>(quiet(X)|~humble(X))))&
((?[X]:((creative(X)|~tall(X))))=>(?[X]:((~patient(X)&rich(X)))))&
(((~tall(fred)|kind(fred)))<=>(?[X]:((~brave(X)<~>... | humble(fred) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3080547360027352536257030
% SZS output start Proof for 3080547360027352536257030
9. ! [X0] : (~brave(X0) => (~strong(X0) & humble(X0))) [input p8]
23. ~brave(fred) [input p22]
25. ~humble(fred) [input hypothesis]
33. ! [X0] : ((~strong(X0) & humble(X0)) | brave(X0)) [ennf transformation 9... | 0 |
Everyone who is not creative is both wise and not humble and vice versa. If someone is both tall and brave then mary is either humble or patient and vice versa. Everyone who is either not quiet or not patient is either curious or not calm. Everyone who is both not creative and wise is either generous or rich. If someon... | Mary is old. | neutral | (![X]:(~creative(X)<=>(wise(X)&~humble(X))))&
((?[X]:((tall(X)&brave(X))))<=>((humble(mary)<~>patient(mary))))&
(![X]:((~quiet(X)<~>~patient(X))=>(curious(X)<~>~calm(X))))&
(![X]:((~creative(X)&wise(X))=>(generous(X)<~>rich(X))))&
((?[X]:(quiet(X)))=>(?[X]:(~curious(X))))&
(![X]:(wise(X)=>tall(X)))&
(((~kind(paul)|~bra... | old(mary) | [] | null | 0 |
If someone is both patient and not brave then someone is either brave or wise.
If fred is not quiet or not rich then someone is both brave and not rich.
Everyone who is not happy or not funny is patient or wise.
Everyone who is both not brave and not wise is not calm or not strong and vice versa.
Everyone who is not wi... | Susan is strong. | neutral | ((?[X]:((patient(X)&~brave(X))))=>(?[X]:((brave(X)<~>wise(X)))))&
(((~quiet(fred)|~rich(fred)))=>(?[X]:((brave(X)&~rich(X)))))&
(![X]:((~happy(X)|~funny(X))=>(patient(X)|wise(X))))&
(![X]:((~brave(X)&~wise(X))<=>(~calm(X)|~strong(X))))&
(![X]:(~wise(X)=>(creative(X)&~funny(X))))&
(![X]:((~kind(X)<~>~quiet(X))<=>(happy(... | strong(susan) | [] | null | 0 |
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