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 either rich or strong then susan is either creative or not strong.
If someone is both not brave and not funny then susan is not creative and vice versa.
If someone is not calm or generous then alice is both not curious and creative and vice versa.
Everyone who is not curious is not strong and vice versa.
... | Fred is generous. | entailment | ((?[X]:((rich(X)<~>strong(X))))=>((creative(susan)<~>~strong(susan))))&
((?[X]:((~brave(X)&~funny(X))))<=>(~creative(susan)))&
((?[X]:((~calm(X)|generous(X))))<=>((~curious(alice)&creative(alice))))&
(![X]:(~curious(X)<=>~strong(X)))&
((~wise(lucy))=>(?[X]:((old(X)|~tall(X)))))&
(![X]:((~calm(X)&calm(X))=>(quiet(X)&~ri... | generous(fred) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8837952209369105303813381
% SZS output start Proof for 8837952209369105303813381
11. ! [X0] : ((tall(X0) <~> ~generous(X0)) <=> (rich(X0) | tall(X0))) [input p10]
16. ! [X0] : ((tall(X0) <~> ~generous(X0)) => (tall(X0) & wise(X0))) [input p15]
25. ~generous(fred) [input hypothesis]
35. ! ... | 0 |
If fred is both rich and tall then someone is not old or kind and vice versa. If lucy is both not rich and not brave then mary is either not patient or curious. Everyone who is both funny and brave is both wise and not creative and vice versa. Everyone who is either not curious or not old is not happy and vice versa. E... | Fred is not tall. | contradiction | (((rich(fred)&tall(fred)))<=>(?[X]:((~old(X)|kind(X)))))&
(((~rich(lucy)&~brave(lucy)))=>((~patient(mary)<~>curious(mary))))&
(![X]:((funny(X)&brave(X))<=>(wise(X)&~creative(X))))&
(![X]:((~curious(X)<~>~old(X))<=>~happy(X)))&
(![X]:(patient(X)<=>(happy(X)&~patient(X))))&
(((calm(lucy)|~happy(lucy)))=>((~brave(paul)<~>... | ~tall(fred) | [
"p0",
"p3",
"p4",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3825949564186190171391011
% SZS output start Proof for 3825949564186190171391011
1. (tall(fred) & rich(fred)) <=> ? [X0] : (kind(X0) | ~old(X0)) [input p0]
4. ! [X0] : ((~curious(X0) <~> ~old(X0)) <=> ~happy(X0)) [input p3]
5. ! [X0] : (patient(X0) <=> (~patient(X0) & happy(X0))) [input p... | 0 |
If lucy is both not patient and patient then alice is not quiet or not wise and vice versa.
Everyone who is both humble and happy is brave or not humble and vice versa.
Everyone who is creative or not patient is not happy.
Everyone who is quiet or not kind is not tall or not creative.
If someone is either not brave or ... | Paul is generous. | neutral | (((~patient(lucy)&patient(lucy)))<=>((~quiet(alice)|~wise(alice))))&
(![X]:((humble(X)&happy(X))<=>(brave(X)|~humble(X))))&
(![X]:((creative(X)|~patient(X))=>~happy(X)))&
(![X]:((quiet(X)|~kind(X))=>(~tall(X)|~creative(X))))&
((?[X]:((~brave(X)<~>generous(X))))<=>(?[X]:((tall(X)<~>~curious(X)))))&
((?[X]:((~humble(X)&~... | generous(paul) | [] | null | 0 |
If alice is not tall then alice is either not quiet or tall and vice versa. Everyone who is not tall is not happy or not quiet. If susan is humble or not generous then susan is either not kind or patient and vice versa. Everyone who is both not quiet and not funny is not funny or not tall and vice versa. If someone is ... | Susan is brave. | neutral | ((~tall(alice))<=>((~quiet(alice)<~>tall(alice))))&
(![X]:(~tall(X)=>(~happy(X)|~quiet(X))))&
(((humble(susan)|~generous(susan)))<=>((~kind(susan)<~>patient(susan))))&
(![X]:((~quiet(X)&~funny(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((funny(X)|~brave(X))))=>(?[X]:(generous(X))))&
(![X]:((strong(X)|~creative(X))<=>(quiet(X... | brave(susan) | [] | null | 0 |
Everyone who is not tall or quiet is either not rich or generous.
Everyone who is both creative and brave is either not brave or happy.
If mary is not kind then john is either not wise or humble.
Everyone who is not wise or not patient is both not old and old and vice versa.
Everyone who is either generous or curious i... | Susan is not funny. | entailment | (![X]:((~tall(X)|quiet(X))=>(~rich(X)<~>generous(X))))&
(![X]:((creative(X)&brave(X))=>(~brave(X)<~>happy(X))))&
((~kind(mary))=>((~wise(john)<~>humble(john))))&
(![X]:((~wise(X)|~patient(X))<=>(~old(X)&old(X))))&
(![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humbl... | ~funny(susan) | [
"p0",
"p3",
"p4",
"p6",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1167500972845003816234
% SZS output start Proof for 1167500972845003816234
1. ! [X0] : ((quiet(X0) | ~tall(X0)) => (~rich(X0) <~> generous(X0))) [input p0]
4. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (old(X0) & ~old(X0))) [input p3]
5. ! [X0] : ((generous(X0) <~> curious(X0)) <=> (~funny(... | 0 |
Everyone who is either generous or tall is both kind and wise.
If john is either not old or generous then paul is both rich and kind and vice versa.
Everyone who is both old and not curious is both generous and funny.
Everyone who is not brave is not funny or not rich.
Everyone who is both not strong and funny is gener... | Mary is tall. | neutral | (![X]:((generous(X)<~>tall(X))=>(kind(X)&wise(X))))&
(((~old(john)<~>generous(john)))<=>((rich(paul)&kind(paul))))&
(![X]:((old(X)&~curious(X))=>(generous(X)&funny(X))))&
(![X]:(~brave(X)=>(~funny(X)|~rich(X))))&
(![X]:((~strong(X)&funny(X))<=>generous(X)))&
(![X]:(~patient(X)<=>(brave(X)<~>kind(X))))&
(((~strong(fred)... | tall(mary) | [] | null | 0 |
Everyone who is not rich or not humble is kind and vice versa.
Everyone who is not humble or not generous is kind or not funny and vice versa.
Everyone who is both brave and not creative is either not happy or brave.
Everyone who is both not curious and kind is not patient.
Everyone who is either calm or kind is both n... | Susan is generous. | neutral | (![X]:((~rich(X)|~humble(X))<=>kind(X)))&
(![X]:((~humble(X)|~generous(X))<=>(kind(X)|~funny(X))))&
(![X]:((brave(X)&~creative(X))=>(~happy(X)<~>brave(X))))&
(![X]:((~curious(X)&kind(X))=>~patient(X)))&
(![X]:((calm(X)<~>kind(X))<=>(~wise(X)&~curious(X))))&
((~tall(alice))<=>(?[X]:((~strong(X)|~tall(X)))))&
(![X]:((~br... | generous(susan) | [] | null | 0 |
If someone is either not kind or not curious then someone is tall or happy and vice versa. Everyone who is strong or not generous is both not old and not happy. Everyone who is not patient or quiet is not wise or generous and vice versa. If susan is both not calm and creative then alice is not old or not kind and vice ... | Susan is kind. | entailment | ((?[X]:((~kind(X)<~>~curious(X))))<=>(?[X]:((tall(X)|happy(X)))))&
(![X]:((strong(X)|~generous(X))=>(~old(X)&~happy(X))))&
(![X]:((~patient(X)|quiet(X))<=>(~wise(X)|generous(X))))&
(((~calm(susan)&creative(susan)))<=>((~old(alice)|~kind(alice))))&
(((creative(lucy)|~wise(lucy)))=>(?[X]:((~strong(X)<~>happy(X)))))&
(![X... | kind(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8262332645923975790229110
% SZS output start Proof for 8262332645923975790229110
23. kind(susan) [input p22]
25. ~kind(susan) [input hypothesis]
150. kind(susan) [cnf transformation 23]
152. ~kind(susan) [cnf transformation 25]
381. $false [subsumption resolution 152,150]
% SZS output end... | 0 |
If mary is either not funny or not quiet then paul is either not creative or calm.
If someone is not strong then someone is either not patient or humble and vice versa.
If john is not rich or quiet then paul is both tall and not funny.
Everyone who is not patient or brave is both old and curious.
If susan is both not h... | Mary is old. | entailment | (((~funny(mary)<~>~quiet(mary)))=>((~creative(paul)<~>calm(paul))))&
((?[X]:(~strong(X)))<=>(?[X]:((~patient(X)<~>humble(X)))))&
(((~rich(john)|quiet(john)))=>((tall(paul)&~funny(paul))))&
(![X]:((~patient(X)|brave(X))=>(old(X)&curious(X))))&
(((~happy(susan)&~curious(susan)))=>(?[X]:((~quiet(X)&~humble(X)))))&
(![X]:(... | old(mary) | [
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1700541761987541087579680
% SZS output start Proof for 1700541761987541087579680
4. ! [X0] : ((brave(X0) | ~patient(X0)) => (curious(X0) & old(X0))) [input p3]
6. ! [X0] : ((happy(X0) | strong(X0)) => ~strong(X0)) [input p5]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) <=> (~patient(X0) & ~f... | 0 |
If alice is both rich and not patient then someone is not happy or humble and vice versa.
If mary is either kind or not old then someone is not quiet and vice versa.
If someone is either not brave or not calm then someone is both not rich and not happy and vice versa.
If someone is both creative and not curious then jo... | Alice is rich. | entailment | (((rich(alice)&~patient(alice)))<=>(?[X]:((~happy(X)|humble(X)))))&
(((kind(mary)<~>~old(mary)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~brave(X)<~>~calm(X))))<=>(?[X]:((~rich(X)&~happy(X)))))&
((?[X]:((creative(X)&~curious(X))))<=>((funny(john)|~brave(john))))&
(![X]:((~wise(X)|kind(X))<=>(brave(X)&~tall(X))))&
(![X]:((~curi... | rich(alice) | [
"p0",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 603808985826122025110411
% SZS output start Proof for 603808985826122025110411
1. (~patient(alice) & rich(alice)) <=> ? [X0] : (humble(X0) | ~happy(X0)) [input p0]
13. ! [X0] : ((~humble(X0) | wise(X0)) => ~patient(X0)) [input p12]
22. ? [X0] : patient(X0) [input p21]
24. ~rich(alice) [in... | 0 |
If someone is either not quiet or calm then someone is not strong or strong and vice versa. Everyone who is either brave or not rich is brave and vice versa. Everyone who is generous is either old or not patient. If someone is either kind or not brave then someone is not curious and vice versa. If john is generous then... | Paul is not quiet. | neutral | ((?[X]:((~quiet(X)<~>calm(X))))<=>(?[X]:((~strong(X)|strong(X)))))&
(![X]:((brave(X)<~>~rich(X))<=>brave(X)))&
(![X]:(generous(X)=>(old(X)<~>~patient(X))))&
((?[X]:((kind(X)<~>~brave(X))))<=>(?[X]:(~curious(X))))&
((generous(john))<=>(?[X]:((happy(X)&tall(X)))))&
(((strong(fred)<~>humble(fred)))=>((rich(john)<~>~patien... | ~quiet(paul) | [] | null | 0 |
If alice is strong or old then john is patient.
Everyone who is both generous and not calm is funny or tall.
Everyone who is both calm and strong is not patient and vice versa.
If someone is tall then fred is generous or brave.
Everyone who is either not wise or not brave is either not wise or not generous and vice ver... | Alice is not strong. | entailment | (((strong(alice)|old(alice)))=>(patient(john)))&
(![X]:((generous(X)&~calm(X))=>(funny(X)|tall(X))))&
(![X]:((calm(X)&strong(X))<=>~patient(X)))&
((?[X]:(tall(X)))=>((generous(fred)|brave(fred))))&
(![X]:((~wise(X)<~>~brave(X))<=>(~wise(X)<~>~generous(X))))&
((?[X]:(quiet(X)))=>(?[X]:((~strong(X)|generous(X)))))&
((?[X... | ~strong(alice) | [
"p4",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6193053462033430280424725
% SZS output start Proof for 6193053462033430280424725
5. ! [X0] : ((~wise(X0) <~> ~brave(X0)) <=> (~wise(X0) <~> ~generous(X0))) [input p4]
14. ! [X0] : (strong(X0) <=> ~brave(X0)) [input p13]
19. generous(alice) & ~wise(alice) [input p18]
25. strong(alice) [inp... | 0 |
Everyone who is not strong or not kind is not humble. Everyone who is not tall is both not happy and not calm. Everyone who is both not generous and happy is brave or not old and vice versa. If mary is either happy or not generous then someone is either wise or patient. Everyone who is both not strong and strong is not... | Susan is not rich. | entailment | (![X]:((~strong(X)|~kind(X))=>~humble(X)))&
(![X]:(~tall(X)=>(~happy(X)&~calm(X))))&
(![X]:((~generous(X)&happy(X))<=>(brave(X)|~old(X))))&
(((happy(mary)<~>~generous(mary)))=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:((~strong(X)&strong(X))=>(~curious(X)|brave(X))))&
((?[X]:((rich(X)<~>brave(X))))=>(~calm(paul)))&
((?[X... | ~rich(susan) | [
"p2",
"p5",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4847611509156174951579596
% SZS output start Proof for 4847611509156174951579596
3. ! [X0] : ((happy(X0) & ~generous(X0)) <=> (~old(X0) | brave(X0))) [input p2]
6. ? [X0] : (rich(X0) <~> brave(X0)) => ~calm(paul) [input p5]
9. ! [X0] : ((calm(X0) & strong(X0)) <=> (~kind(X0) | ~calm(X0)))... | 0 |
Everyone who is either old or not curious is not funny.
If alice is not quiet or not happy then someone is not funny.
Everyone who is both not tall and not kind is generous and vice versa.
If someone is calm or not patient then lucy is both rich and strong.
Everyone who is not patient is humble.
If someone is both kind... | Mary is not calm. | entailment | (![X]:((old(X)<~>~curious(X))=>~funny(X)))&
(((~quiet(alice)|~happy(alice)))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)&~kind(X))<=>generous(X)))&
((?[X]:((calm(X)|~patient(X))))=>((rich(lucy)&strong(lucy))))&
(![X]:(~patient(X)=>humble(X)))&
((?[X]:((kind(X)&funny(X))))<=>(?[X]:(creative(X))))&
(((~creative(mary)<~>~funny... | ~calm(mary) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6225736633301534208888541
% SZS output start Proof for 6225736633301534208888541
4. ? [X0] : (~patient(X0) | calm(X0)) => (strong(lucy) & rich(lucy)) [input p3]
21. ~strong(lucy) [input p20]
24. calm(mary) [input hypothesis]
28. (strong(lucy) & rich(lucy)) | ! [X0] : (patient(X0) & ~calm(... | 0 |
Everyone who is not patient is both funny and not calm and vice versa.
Everyone who is either rich or not patient is patient and vice versa.
If someone is both not humble and not kind then someone is both not funny and calm.
If someone is both not tall and generous then john is either not quiet or tall and vice versa.
... | Fred is not rich. | contradiction | (![X]:(~patient(X)<=>(funny(X)&~calm(X))))&
(![X]:((rich(X)<~>~patient(X))<=>patient(X)))&
((?[X]:((~humble(X)&~kind(X))))=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:((~tall(X)&generous(X))))<=>((~quiet(john)<~>tall(john))))&
(![X]:(~tall(X)<=>(~tall(X)|curious(X))))&
(![X]:((~funny(X)|~patient(X))=>funny(X)))&
(![X]:((~ol... | ~rich(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8667129188270733830219800
% SZS output start Proof for 8667129188270733830219800
2. ! [X0] : ((rich(X0) <~> ~patient(X0)) <=> patient(X0)) [input p1]
24. ~rich(fred) [input hypothesis]
35. ! [X0] : ((((patient(X0) | ~rich(X0)) & (~patient(X0) | rich(X0))) | ~patient(X0)) & (patient(X0) | ... | 0 |
Everyone who is not old or not curious is both creative and rich. If fred is not funny or not patient then someone is calm and vice versa. If someone is curious or not kind then someone is not funny or not tall and vice versa. If mary is not quiet or not funny then someone is not quiet or quiet and vice versa. If someo... | Mary is not quiet. | entailment | (![X]:((~old(X)|~curious(X))=>(creative(X)&rich(X))))&
(((~funny(fred)|~patient(fred)))<=>(?[X]:(calm(X))))&
((?[X]:((curious(X)|~kind(X))))<=>(?[X]:((~funny(X)|~tall(X)))))&
(((~quiet(mary)|~funny(mary)))<=>(?[X]:((~quiet(X)|quiet(X)))))&
((?[X]:(~brave(X)))<=>(?[X]:((generous(X)<~>calm(X)))))&
(![X]:((rich(X)<~>old(X... | ~quiet(mary) | [
"p0",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7243707167466097849726589
% SZS output start Proof for 7243707167466097849726589
1. ! [X0] : ((~curious(X0) | ~old(X0)) => (rich(X0) & creative(X0))) [input p0]
6. ! [X0] : ((rich(X0) <~> old(X0)) <=> (~quiet(X0) & calm(X0))) [input p5]
11. ! [X0] : ((quiet(X0) | kind(X0)) => (~brave(X0) ... | 0 |
If alice is both calm and not tall then fred is quiet.
If someone is either not kind or not curious then john is both old and not tall and vice versa.
Everyone who is both not funny and not creative is not kind.
Everyone who is either not old or not brave is either happy or not kind.
If someone is either not creative o... | Alice is calm. | contradiction | (((calm(alice)&~tall(alice)))=>(quiet(fred)))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((old(john)&~tall(john))))&
(![X]:((~funny(X)&~creative(X))=>~kind(X)))&
(![X]:((~old(X)<~>~brave(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((~creative(X)<~>happy(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:((calm(X)|~brave(X))<=>~calm(X))... | calm(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2934867670832890638341536
% SZS output start Proof for 2934867670832890638341536
6. ! [X0] : ((~brave(X0) | calm(X0)) <=> ~calm(X0)) [input p5]
23. calm(alice) [input hypothesis]
45. ! [X0] : (((~brave(X0) | calm(X0)) | calm(X0)) & (~calm(X0) | (brave(X0) & ~calm(X0)))) [nnf transformatio... | 0 |
If someone is happy or funny then someone is not happy or not curious.
If someone is either not generous or not rich then someone is calm or not calm.
Everyone who is calm is either not tall or not old and vice versa.
If someone is either happy or old then susan is not happy or not curious and vice versa.
If paul is no... | Paul is patient. | contradiction | ((?[X]:((happy(X)|funny(X))))=>(?[X]:((~happy(X)|~curious(X)))))&
((?[X]:((~generous(X)<~>~rich(X))))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:(calm(X)<=>(~tall(X)<~>~old(X))))&
((?[X]:((happy(X)<~>old(X))))<=>((~happy(susan)|~curious(susan))))&
((~calm(paul))<=>(?[X]:(~humble(X))))&
(((~old(susan)|happy(susan)))<=>(?[X]:(... | patient(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7711247246401718417278175
% SZS output start Proof for 7711247246401718417278175
7. ! [X0] : ((patient(X0) & calm(X0)) <=> ~calm(X0)) [input p6]
23. patient(paul) [input hypothesis]
56. ! [X0] : (((patient(X0) & calm(X0)) | calm(X0)) & (~calm(X0) | (~patient(X0) | ~calm(X0)))) [nnf transf... | 0 |
Everyone who is curious or tall is not funny and vice versa.
If someone is both rich and not old then fred is both not creative and not patient and vice versa.
Everyone who is either curious or tall is not happy and vice versa.
If john is not strong or not kind then fred is both not happy and humble.
Everyone who is no... | Mary is happy. | neutral | (![X]:((curious(X)|tall(X))<=>~funny(X)))&
((?[X]:((rich(X)&~old(X))))<=>((~creative(fred)&~patient(fred))))&
(![X]:((curious(X)<~>tall(X))<=>~happy(X)))&
(((~strong(john)|~kind(john)))=>((~happy(fred)&humble(fred))))&
(![X]:(~humble(X)=>(wise(X)<~>rich(X))))&
(((generous(alice)&humble(alice)))=>(?[X]:((wise(X)|~humble... | happy(mary) | [] | null | 0 |
Everyone who is tall is both not humble and generous and vice versa. Everyone who is funny is curious or funny. If someone is curious then mary is tall. If john is either brave or not calm then someone is either funny or quiet and vice versa. Everyone who is both not old and tall is either not calm or calm and vice ver... | Paul is old. | contradiction | (![X]:(tall(X)<=>(~humble(X)&generous(X))))&
(![X]:(funny(X)=>(curious(X)|funny(X))))&
((?[X]:(curious(X)))=>(tall(mary)))&
(((brave(john)<~>~calm(john)))<=>(?[X]:((funny(X)<~>quiet(X)))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)<~>calm(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((~rich(X)&~h... | old(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8755264164623269086548970
% SZS output start Proof for 8755264164623269086548970
5. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~calm(X0) <~> calm(X0))) [input p4]
23. old(paul) [input hypothesis]
41. ! [X0] : (((tall(X0) & ~old(X0)) | ((~calm(X0) | ~calm(X0)) & (calm(X0) | calm(X0)))) & (((~cal... | 0 |
Everyone who is both kind and not brave is not quiet and vice versa.
Everyone who is either not funny or not curious is not funny or rich.
Everyone who is both not tall and not old is strong and vice versa.
If someone is humble then someone is humble or happy and vice versa.
Everyone who is not curious is either calm o... | Fred is not quiet. | contradiction | (![X]:((kind(X)&~brave(X))<=>~quiet(X)))&
(![X]:((~funny(X)<~>~curious(X))=>(~funny(X)|rich(X))))&
(![X]:((~tall(X)&~old(X))<=>strong(X)))&
((?[X]:(humble(X)))<=>(?[X]:((humble(X)|happy(X)))))&
(![X]:(~curious(X)<=>(calm(X)<~>~calm(X))))&
(((~quiet(paul)<~>quiet(paul)))=>((~rich(paul)&humble(paul))))&
(![X]:(funny(X)<=... | ~quiet(fred) | [
"p0",
"p4",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1955407792349390417363457
% SZS output start Proof for 1955407792349390417363457
1. ! [X0] : ((~brave(X0) & kind(X0)) <=> ~quiet(X0)) [input p0]
5. ! [X0] : (~curious(X0) <=> (calm(X0) <~> ~calm(X0))) [input p4]
7. ! [X0] : (funny(X0) <=> curious(X0)) [input p6]
13. ! [X0] : ((creative(X0... | 0 |
Everyone who is either creative or tall is tall and vice versa. Everyone who is either not tall or wise is either not funny or curious. If someone is both generous and not kind then mary is brave or not strong and vice versa. Everyone who is humble or patient is not brave. If someone is not humble then someone is tall ... | Fred is strong. | contradiction | (![X]:((creative(X)<~>tall(X))<=>tall(X)))&
(![X]:((~tall(X)<~>wise(X))=>(~funny(X)<~>curious(X))))&
((?[X]:((generous(X)&~kind(X))))<=>((brave(mary)|~strong(mary))))&
(![X]:((humble(X)|patient(X))=>~brave(X)))&
((?[X]:(~humble(X)))<=>(?[X]:(tall(X))))&
(![X]:((~happy(X)&~humble(X))<=>strong(X)))&
((~old(fred))<=>((~ri... | strong(fred) | [
"p3",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 889126510066979585820294
% SZS output start Proof for 889126510066979585820294
4. ! [X0] : ((patient(X0) | humble(X0)) => ~brave(X0)) [input p3]
10. ! [X0] : ((~funny(X0) & ~creative(X0)) <=> ~patient(X0)) [input p9]
12. ! [X0] : (strong(X0) <=> brave(X0)) [input p11]
16. ! [X0] : ((patie... | 0 |
Everyone who is patient or kind is both generous and rich.
If john is rich then lucy is both not funny and not rich and vice versa.
Everyone who is calm or humble is both creative and tall and vice versa.
If alice is either creative or not calm then paul is not tall or generous.
Everyone who is strong is either not pat... | Lucy is generous. | entailment | (![X]:((patient(X)|kind(X))=>(generous(X)&rich(X))))&
((rich(john))<=>((~funny(lucy)&~rich(lucy))))&
(![X]:((calm(X)|humble(X))<=>(creative(X)&tall(X))))&
(((creative(alice)<~>~calm(alice)))=>((~tall(paul)|generous(paul))))&
(![X]:(strong(X)<=>(~patient(X)<~>~kind(X))))&
(![X]:((~calm(X)|old(X))=>brave(X)))&
(![X]:((ol... | generous(lucy) | [
"p0",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1897342668820211971727958
% SZS output start Proof for 1897342668820211971727958
1. ! [X0] : ((kind(X0) | patient(X0)) => (rich(X0) & generous(X0))) [input p0]
8. ! [X0] : ((~patient(X0) & ~quiet(X0)) => (~kind(X0) & quiet(X0))) [input p7]
20. ~quiet(lucy) & wise(lucy) [input p19]
22. ~ge... | 0 |
Everyone who is either not wise or generous is rich and vice versa. Everyone who is both generous and rich is either kind or tall and vice versa. Everyone who is not rich is not tall. If someone is both not curious and not humble then someone is generous. Everyone who is brave is either not generous or curious and vice... | John is not strong. | contradiction | (![X]:((~wise(X)<~>generous(X))<=>rich(X)))&
(![X]:((generous(X)&rich(X))<=>(kind(X)<~>tall(X))))&
(![X]:(~rich(X)=>~tall(X)))&
((?[X]:((~curious(X)&~humble(X))))=>(?[X]:(generous(X))))&
(![X]:(brave(X)<=>(~generous(X)<~>curious(X))))&
(((calm(lucy)<~>curious(lucy)))<=>(?[X]:(patient(X))))&
(((~tall(lucy)|~quiet(lucy))... | ~strong(john) | [
"p0",
"p2",
"p9",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1725427008556266001406794
% SZS output start Proof for 1725427008556266001406794
1. ! [X0] : ((~wise(X0) <~> generous(X0)) <=> rich(X0)) [input p0]
3. ! [X0] : (~rich(X0) => ~tall(X0)) [input p2]
10. ! [X0] : ((generous(X0) <~> tall(X0)) => (wise(X0) & ~quiet(X0))) [input p9]
12. ! [X0] :... | 0 |
If someone is either not tall or not wise then someone is both wise and brave and vice versa. Everyone who is either not curious or brave is not happy or not rich and vice versa. If mary is not funny or creative then someone is wise or creative. Everyone who is not generous is not old and vice versa. Everyone who is bo... | Fred is calm. | neutral | ((?[X]:((~tall(X)<~>~wise(X))))<=>(?[X]:((wise(X)&brave(X)))))&
(![X]:((~curious(X)<~>brave(X))<=>(~happy(X)|~rich(X))))&
(((~funny(mary)|creative(mary)))=>(?[X]:((wise(X)|creative(X)))))&
(![X]:(~generous(X)<=>~old(X)))&
(![X]:((calm(X)&~funny(X))=>quiet(X)))&
((?[X]:(calm(X)))<=>(?[X]:(~humble(X))))&
((?[X]:((~happy(... | calm(fred) | [] | null | 0 |
Everyone who is both not generous and strong is either old or not funny.
If susan is not kind then someone is both happy and not rich.
Everyone who is either funny or kind is creative or not strong and vice versa.
Everyone who is both tall and not kind is curious.
If john is either not brave or rich then someone is not... | Fred is not rich. | contradiction | (![X]:((~generous(X)&strong(X))=>(old(X)<~>~funny(X))))&
((~kind(susan))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((funny(X)<~>kind(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&~kind(X))=>curious(X)))&
(((~brave(john)<~>rich(john)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&humble(X)... | ~rich(fred) | [
"p5",
"p6",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5109349415796892712683631
% SZS output start Proof for 5109349415796892712683631
6. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input p6]
12. ! [X0] : ((~humble(X0) & generous(X0)) <=... | 0 |
If someone is either not rich or rich then mary is either curious or not calm and vice versa.
If susan is either not brave or old then someone is either kind or calm.
Everyone who is calm or not wise is both brave and patient and vice versa.
Everyone who is kind or not curious is not creative.
Everyone who is calm or n... | Paul is creative. | contradiction | ((?[X]:((~rich(X)<~>rich(X))))<=>((curious(mary)<~>~calm(mary))))&
(((~brave(susan)<~>old(susan)))=>(?[X]:((kind(X)<~>calm(X)))))&
(![X]:((calm(X)|~wise(X))<=>(brave(X)&patient(X))))&
(![X]:((kind(X)|~curious(X))=>~creative(X)))&
(![X]:((calm(X)|~humble(X))=>(~old(X)|rich(X))))&
((?[X]:(~brave(X)))=>(?[X]:(happy(X))))&... | creative(paul) | [
"p3",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3838947666359008944588618
% SZS output start Proof for 3838947666359008944588618
4. ! [X0] : ((~curious(X0) | kind(X0)) => ~creative(X0)) [input p3]
24. kind(paul) & old(paul) [input p23]
25. creative(paul) [input hypothesis]
33. ! [X0] : (~creative(X0) | (curious(X0) & ~kind(X0))) [ennf ... | 0 |
If someone is either not quiet or patient then someone is tall and vice versa. Everyone who is both curious and not happy is either happy or not patient. If alice is either not generous or patient then someone is not happy or not strong and vice versa. Everyone who is patient is not curious or wise and vice versa. Ever... | John is not brave. | entailment | ((?[X]:((~quiet(X)<~>patient(X))))<=>(?[X]:(tall(X))))&
(![X]:((curious(X)&~happy(X))=>(happy(X)<~>~patient(X))))&
(((~generous(alice)<~>patient(alice)))<=>(?[X]:((~happy(X)|~strong(X)))))&
(![X]:(patient(X)<=>(~curious(X)|wise(X))))&
(![X]:(funny(X)<=>(~kind(X)<~>~brave(X))))&
(![X]:(brave(X)<=>(~curious(X)&~patient(X... | ~brave(john) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5365280122323885411492757
% SZS output start Proof for 5365280122323885411492757
4. ! [X0] : (patient(X0) <=> (wise(X0) | ~curious(X0))) [input p3]
6. ! [X0] : (brave(X0) <=> (~patient(X0) & ~curious(X0))) [input p5]
25. brave(john) [input hypothesis]
44. ! [X0] : ((patient(X0) | (~wise(X... | 0 |
Everyone who is not old is both humble and not rich and vice versa. If alice is not tall or strong then susan is not tall or curious and vice versa. If someone is not humble then paul is both not old and not humble. Everyone who is patient is both not calm and strong and vice versa. If someone is not funny then someone... | Fred is not patient. | entailment | (![X]:(~old(X)<=>(humble(X)&~rich(X))))&
(((~tall(alice)|strong(alice)))<=>((~tall(susan)|curious(susan))))&
((?[X]:(~humble(X)))=>((~old(paul)&~humble(paul))))&
(![X]:(patient(X)<=>(~calm(X)&strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((quiet(X)&brave(X))<=>~wise(X)))&
(![X]:((tall(X)&g... | ~patient(fred) | [
"p3",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1973634776297637489547009
% SZS output start Proof for 1973634776297637489547009
4. ! [X0] : (patient(X0) <=> (strong(X0) & ~calm(X0))) [input p3]
12. ? [X0] : (quiet(X0) | strong(X0)) => (~happy(susan) & ~generous(susan)) [input p11]
23. generous(susan) [input p22]
25. patient(fred) [inp... | 0 |
Everyone who is brave is either happy or not brave.
Everyone who is either brave or not happy is not old and vice versa.
If someone is not happy or creative then susan is both humble and not patient and vice versa.
If alice is not tall then paul is not patient or tall and vice versa.
Everyone who is not calm or not str... | Susan is not humble. | contradiction | (![X]:(brave(X)=>(happy(X)<~>~brave(X))))&
(![X]:((brave(X)<~>~happy(X))<=>~old(X)))&
((?[X]:((~happy(X)|creative(X))))<=>((humble(susan)&~patient(susan))))&
((~tall(alice))<=>((~patient(paul)|tall(paul))))&
(![X]:((~calm(X)|~strong(X))=>(old(X)&tall(X))))&
((?[X]:((strong(X)&~happy(X))))=>(?[X]:((~old(X)|~patient(X)))... | ~humble(susan) | [
"p2",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2671510311923623615205088
% SZS output start Proof for 2671510311923623615205088
3. ? [X0] : (creative(X0) | ~happy(X0)) <=> (~patient(susan) & humble(susan)) [input p2]
21. creative(mary) [input p20]
22. ~humble(susan) [input hypothesis]
37. (? [X0] : (creative(X0) | ~happy(X0)) | (patie... | 0 |
Everyone who is both not happy and strong is not wise or not calm.
If fred is both not brave and not humble then someone is not quiet or calm.
Everyone who is both curious and generous is not curious.
If someone is kind or funny then john is either strong or kind.
If susan is calm then someone is not funny or not quiet... | Fred is kind. | neutral | (![X]:((~happy(X)&strong(X))=>(~wise(X)|~calm(X))))&
(((~brave(fred)&~humble(fred)))=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((curious(X)&generous(X))=>~curious(X)))&
((?[X]:((kind(X)|funny(X))))=>((strong(john)<~>kind(john))))&
((calm(susan))=>(?[X]:((~funny(X)|~quiet(X)))))&
((?[X]:((~kind(X)&creative(X))))=>(?[X]:((ge... | kind(fred) | [] | null | 0 |
Everyone who is either not happy or not calm is both old and not funny.
If john is happy then susan is both not patient and calm and vice versa.
Everyone who is rich is either brave or not wise and vice versa.
If someone is not kind then alice is both humble and kind.
If fred is generous then fred is either not brave o... | Mary is not humble. | neutral | (![X]:((~happy(X)<~>~calm(X))=>(old(X)&~funny(X))))&
((happy(john))<=>((~patient(susan)&calm(susan))))&
(![X]:(rich(X)<=>(brave(X)<~>~wise(X))))&
((?[X]:(~kind(X)))=>((humble(alice)&kind(alice))))&
((generous(fred))<=>((~brave(fred)<~>~tall(fred))))&
((?[X]:(tall(X)))<=>((~strong(paul)&generous(paul))))&
((?[X]:(~rich(... | ~humble(mary) | [] | null | 0 |
If someone is curious or tall then paul is either patient or creative.
If alice is strong or not funny then john is both rich and not kind.
Everyone who is kind or not rich is both not tall and not quiet.
Everyone who is either not humble or strong is kind or brave and vice versa.
If someone is not kind or quiet then p... | Alice is not humble. | entailment | ((?[X]:((curious(X)|tall(X))))=>((patient(paul)<~>creative(paul))))&
(((strong(alice)|~funny(alice)))=>((rich(john)&~kind(john))))&
(![X]:((kind(X)|~rich(X))=>(~tall(X)&~quiet(X))))&
(![X]:((~humble(X)<~>strong(X))<=>(kind(X)|brave(X))))&
((?[X]:((~kind(X)|quiet(X))))<=>((tall(paul)&~tall(paul))))&
(((humble(paul)&~tal... | ~humble(alice) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4627479373565974200558412
% SZS output start Proof for 4627479373565974200558412
9. ! [X0] : (~humble(X0) <=> (generous(X0) | ~creative(X0))) [input p8]
16. ! [X0] : ((calm(X0) | ~generous(X0)) => (generous(X0) & ~creative(X0))) [input p15]
20. humble(alice) [input hypothesis]
30. ! [X0] ... | 0 |
If mary is not calm or not brave then susan is both patient and funny.
If lucy is both curious and wise then someone is not creative and vice versa.
Everyone who is both kind and not funny is either not curious or not wise and vice versa.
Everyone who is either rich or funny is not calm and vice versa.
Everyone who is ... | Alice is not quiet. | neutral | (((~calm(mary)|~brave(mary)))=>((patient(susan)&funny(susan))))&
(((curious(lucy)&wise(lucy)))<=>(?[X]:(~creative(X))))&
(![X]:((kind(X)&~funny(X))<=>(~curious(X)<~>~wise(X))))&
(![X]:((rich(X)<~>funny(X))<=>~calm(X)))&
(![X]:((kind(X)&creative(X))=>(~kind(X)&wise(X))))&
((?[X]:((funny(X)|~old(X))))=>(?[X]:((calm(X)<~>... | ~quiet(alice) | [] | null | 0 |
If someone is not brave or quiet then alice is not funny or happy.
If someone is either not happy or not calm then paul is both not calm and not rich and vice versa.
If mary is both funny and not wise then someone is either curious or not tall and vice versa.
Everyone who is creative is both not old and not generous an... | Susan is not creative. | entailment | ((?[X]:((~brave(X)|quiet(X))))=>((~funny(alice)|happy(alice))))&
((?[X]:((~happy(X)<~>~calm(X))))<=>((~calm(paul)&~rich(paul))))&
(((funny(mary)&~wise(mary)))<=>(?[X]:((curious(X)<~>~tall(X)))))&
(![X]:(creative(X)<=>(~old(X)&~generous(X))))&
(![X]:((~calm(X)<~>calm(X))<=>(generous(X)&wise(X))))&
(![X]:((~calm(X)&~gene... | ~creative(susan) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1264376118317192755304340
% SZS output start Proof for 1264376118317192755304340
4. ! [X0] : (creative(X0) <=> (~generous(X0) & ~old(X0))) [input p3]
5. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (wise(X0) & generous(X0))) [input p4]
21. creative(susan) [input hypothesis]
44. ! [X0] : ((creat... | 0 |
Everyone who is both humble and not generous is either old or funny and vice versa.
If someone is not curious or strong then john is quiet or not humble.
Everyone who is both patient and generous is not kind or not wise and vice versa.
If someone is either kind or old then john is either brave or calm and vice versa.
E... | John is not wise. | contradiction | (![X]:((humble(X)&~generous(X))<=>(old(X)<~>funny(X))))&
((?[X]:((~curious(X)|strong(X))))=>((quiet(john)|~humble(john))))&
(![X]:((patient(X)&generous(X))<=>(~kind(X)|~wise(X))))&
((?[X]:((kind(X)<~>old(X))))<=>((brave(john)<~>calm(john))))&
(![X]:(~humble(X)=>humble(X)))&
(((curious(lucy)&tall(lucy)))<=>(?[X]:((stron... | ~wise(john) | [
"p0",
"p2",
"p3",
"p6",
"p7",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6849072636513590659452828
% SZS output start Proof for 6849072636513590659452828
1. ! [X0] : ((~generous(X0) & humble(X0)) <=> (old(X0) <~> funny(X0))) [input p0]
3. ! [X0] : ((generous(X0) & patient(X0)) <=> (~wise(X0) | ~kind(X0))) [input p2]
4. ? [X0] : (kind(X0) <~> old(X0)) <=> (brav... | 0 |
If someone is both rich and brave then someone is either not generous or brave.
Everyone who is old is either not quiet or tall.
Everyone who is funny is both generous and not brave.
If someone is both not strong and strong then someone is creative.
Everyone who is either humble or not humble is not funny and vice vers... | Fred is tall. | entailment | ((?[X]:((rich(X)&brave(X))))=>(?[X]:((~generous(X)<~>brave(X)))))&
(![X]:(old(X)=>(~quiet(X)<~>tall(X))))&
(![X]:(funny(X)=>(generous(X)&~brave(X))))&
((?[X]:((~strong(X)&strong(X))))=>(?[X]:(creative(X))))&
(![X]:((humble(X)<~>~humble(X))<=>~funny(X)))&
(((~humble(susan)|funny(susan)))=>((patient(john)<~>brave(john)))... | tall(fred) | [
"p1",
"p4",
"p7",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5557374467816449303714871
% SZS output start Proof for 5557374467816449303714871
2. ! [X0] : (old(X0) => (~quiet(X0) <~> tall(X0))) [input p1]
5. ! [X0] : ((humble(X0) <~> ~humble(X0)) <=> ~funny(X0)) [input p4]
8. ! [X0] : ((~funny(X0) | ~strong(X0)) => (patient(X0) & old(X0))) [input p7... | 0 |
If alice is both tall and not strong then someone is both not happy and calm and vice versa. If mary is not rich or not happy then someone is humble and vice versa. Everyone who is kind or not wise is both creative and not funny and vice versa. If someone is both happy and not calm then someone is calm or rich and vice... | John is quiet. | contradiction | (((tall(alice)&~strong(alice)))<=>(?[X]:((~happy(X)&calm(X)))))&
(((~rich(mary)|~happy(mary)))<=>(?[X]:(humble(X))))&
(![X]:((kind(X)|~wise(X))<=>(creative(X)&~funny(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~old(X)|~strong(X))))&
(![X]:((~wise(X)&patient(X))<... | quiet(john) | [
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6412937853672078987170001
% SZS output start Proof for 6412937853672078987170001
7. ? [X0] : ~kind(X0) => (kind(john) & creative(john)) [input p6]
9. ! [X0] : ((~kind(X0) & ~calm(X0)) <=> (calm(X0) <~> quiet(X0))) [input p8]
12. ! [X0] : ((calm(X0) | ~strong(X0)) => (tall(X0) & ~tall(X0))... | 0 |
If someone is both not strong and not kind then mary is either calm or patient and vice versa.
Everyone who is either not quiet or generous is either not rich or calm.
If susan is funny or not rich then someone is not wise or generous.
Everyone who is not calm or funny is not tall and vice versa.
Everyone who is either... | John is happy. | contradiction | ((?[X]:((~strong(X)&~kind(X))))<=>((calm(mary)<~>patient(mary))))&
(![X]:((~quiet(X)<~>generous(X))=>(~rich(X)<~>calm(X))))&
(((funny(susan)|~rich(susan)))=>(?[X]:((~wise(X)|generous(X)))))&
(![X]:((~calm(X)|funny(X))<=>~tall(X)))&
(![X]:((~strong(X)<~>old(X))<=>(strong(X)<~>brave(X))))&
(((~old(paul)<~>~patient(paul))... | happy(john) | [
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4446543503579799682473048
% SZS output start Proof for 4446543503579799682473048
5. ! [X0] : ((~strong(X0) <~> old(X0)) <=> (strong(X0) <~> brave(X0))) [input p4]
7. ! [X0] : ((~brave(X0) | creative(X0)) => curious(X0)) [input p6]
8. ! [X0] : (humble(X0) <=> (curious(X0) & ~strong(X0))) [... | 0 |
Everyone who is happy is wise or not strong and vice versa.
Everyone who is not patient is either calm or strong.
Everyone who is either not rich or not funny is both funny and not generous.
If someone is old then john is both not funny and not quiet.
If someone is rich or not curious then someone is both quiet and not... | Fred is curious. | neutral | (![X]:(happy(X)<=>(wise(X)|~strong(X))))&
(![X]:(~patient(X)=>(calm(X)<~>strong(X))))&
(![X]:((~rich(X)<~>~funny(X))=>(funny(X)&~generous(X))))&
((?[X]:(old(X)))=>((~funny(john)&~quiet(john))))&
((?[X]:((rich(X)|~curious(X))))=>(?[X]:((quiet(X)&~curious(X)))))&
((?[X]:((patient(X)|~creative(X))))=>((~wise(fred)&~brave(... | curious(fred) | [] | null | 0 |
If someone is both quiet and not generous then lucy is happy.
Everyone who is both not strong and not creative is either not creative or creative and vice versa.
If fred is either not patient or creative then lucy is quiet or generous and vice versa.
If someone is both calm and brave then john is wise or not wise and v... | Susan is not calm. | contradiction | ((?[X]:((quiet(X)&~generous(X))))=>(happy(lucy)))&
(![X]:((~strong(X)&~creative(X))<=>(~creative(X)<~>creative(X))))&
(((~patient(fred)<~>creative(fred)))<=>((quiet(lucy)|generous(lucy))))&
((?[X]:((calm(X)&brave(X))))<=>((wise(john)|~wise(john))))&
(![X]:((tall(X)|~generous(X))=>strong(X)))&
((?[X]:(~funny(X)))<=>((cr... | ~calm(susan) | [
"p1",
"p4",
"p7",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4024823522268232941610878
% SZS output start Proof for 4024823522268232941610878
2. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (~creative(X0) <~> creative(X0))) [input p1]
5. ! [X0] : ((~generous(X0) | tall(X0)) => strong(X0)) [input p4]
8. ! [X0] : ((calm(X0) <~> ~curious(X0)) <=> gener... | 0 |
If someone is either happy or tall then someone is not rich and vice versa.
Everyone who is not generous is both creative and calm.
If someone is either not creative or funny then fred is both patient and quiet and vice versa.
Everyone who is either old or quiet is not old.
If someone is tall or quiet then paul is eith... | John is not generous. | contradiction | ((?[X]:((happy(X)<~>tall(X))))<=>(?[X]:(~rich(X))))&
(![X]:(~generous(X)=>(creative(X)&calm(X))))&
((?[X]:((~creative(X)<~>funny(X))))<=>((patient(fred)&quiet(fred))))&
(![X]:((old(X)<~>quiet(X))=>~old(X)))&
((?[X]:((tall(X)|quiet(X))))=>((~generous(paul)<~>~tall(paul))))&
(![X]:(curious(X)<=>(~brave(X)<~>~happy(X))))&... | ~generous(john) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6003417861637769253489224
% SZS output start Proof for 6003417861637769253489224
2. ! [X0] : (~generous(X0) => (calm(X0) & creative(X0))) [input p1]
12. ! [X0] : ((calm(X0) | ~generous(X0)) => (~happy(X0) & ~creative(X0))) [input p11]
25. ~generous(john) [input hypothesis]
29. ! [X0] : ((... | 0 |
Everyone who is quiet is either not creative or not old.
If someone is either brave or rich then mary is tall or not calm.
If someone is not quiet or not brave then someone is creative or not curious and vice versa.
If someone is both happy and funny then someone is both tall and rich.
If someone is patient then lucy i... | Lucy is not brave. | entailment | (![X]:(quiet(X)=>(~creative(X)<~>~old(X))))&
((?[X]:((brave(X)<~>rich(X))))=>((tall(mary)|~calm(mary))))&
((?[X]:((~quiet(X)|~brave(X))))<=>(?[X]:((creative(X)|~curious(X)))))&
((?[X]:((happy(X)&funny(X))))=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:(patient(X)))<=>(happy(lucy)))&
(![X]:((~creative(X)<~>~brave(X))=>(happy(X)... | ~brave(lucy) | [
"p4",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7437324022660038754400788
% SZS output start Proof for 7437324022660038754400788
5. ? [X0] : patient(X0) <=> happy(lucy) [input p4]
6. ! [X0] : ((~creative(X0) <~> ~brave(X0)) => (happy(X0) <~> patient(X0))) [input p5]
9. ! [X0] : ((happy(X0) <~> ~brave(X0)) <=> (creative(X0) | ~generous(... | 0 |
Everyone who is humble or creative is not old and vice versa.
Everyone who is not creative is brave.
Everyone who is not humble or not creative is both not kind and humble and vice versa.
Everyone who is either not tall or happy is both happy and rich and vice versa.
Everyone who is both not happy and generous is eithe... | Susan is not wise. | contradiction | (![X]:((humble(X)|creative(X))<=>~old(X)))&
(![X]:(~creative(X)=>brave(X)))&
(![X]:((~humble(X)|~creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~tall(X)<~>happy(X))<=>(happy(X)&rich(X))))&
(![X]:((~happy(X)&generous(X))<=>(~strong(X)<~>~calm(X))))&
(((generous(mary)<~>~old(mary)))<=>((humble(mary)&~quiet(mary))))&
((~c... | ~wise(susan) | [
"p2",
"p3",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1450224485275447045107095
% SZS output start Proof for 1450224485275447045107095
3. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (humble(X0) & ~kind(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> happy(X0)) <=> (rich(X0) & happy(X0))) [input p3]
9. ! [X0] : ((~humble(X0) <~> wise(X0)) <=> (t... | 0 |
If someone is not curious or calm then mary is either old or not quiet and vice versa. Everyone who is both not brave and patient is both old and rich and vice versa. Everyone who is either not wise or not strong is both not curious and happy and vice versa. Everyone who is calm or not brave is either calm or patient. ... | Paul is not tall. | contradiction | ((?[X]:((~curious(X)|calm(X))))<=>((old(mary)<~>~quiet(mary))))&
(![X]:((~brave(X)&patient(X))<=>(old(X)&rich(X))))&
(![X]:((~wise(X)<~>~strong(X))<=>(~curious(X)&happy(X))))&
(![X]:((calm(X)|~brave(X))=>(calm(X)<~>patient(X))))&
(![X]:((wise(X)|brave(X))=>(generous(X)&~curious(X))))&
(![X]:((~creative(X)<~>calm(X))<=>... | ~tall(paul) | [
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8432715231135003282391460
% SZS output start Proof for 8432715231135003282391460
12. ? [X0] : (funny(X0) <~> tall(X0)) <=> ? [X0] : (~old(X0) & curious(X0)) [input p11]
13. ! [X0] : ((~humble(X0) | strong(X0)) <=> (~happy(X0) <~> ~wise(X0))) [input p12]
14. ! [X0] : (~wise(X0) => funny(X0... | 0 |
Everyone who is not rich or happy is both wise and strong and vice versa.
Everyone who is not calm or not funny is either not wise or not tall and vice versa.
If lucy is not old or funny then lucy is old or not generous and vice versa.
Everyone who is generous is not strong or patient.
Everyone who is old or not happy ... | Susan is not humble. | entailment | (![X]:((~rich(X)|happy(X))<=>(wise(X)&strong(X))))&
(![X]:((~calm(X)|~funny(X))<=>(~wise(X)<~>~tall(X))))&
(((~old(lucy)|funny(lucy)))<=>((old(lucy)|~generous(lucy))))&
(![X]:(generous(X)=>(~strong(X)|patient(X))))&
(![X]:((old(X)|~happy(X))<=>(generous(X)&~humble(X))))&
((?[X]:((~tall(X)&kind(X))))<=>(?[X]:((patient(X... | ~humble(susan) | [
"p0",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5037661960086090534354860
% SZS output start Proof for 5037661960086090534354860
1. ! [X0] : ((happy(X0) | ~rich(X0)) <=> (strong(X0) & wise(X0))) [input p0]
5. ! [X0] : ((~happy(X0) | old(X0)) <=> (~humble(X0) & generous(X0))) [input p4]
17. ~wise(susan) [input p16]
25. humble(susan) [in... | 0 |
Everyone who is either not kind or not calm is creative or not kind and vice versa.
Everyone who is both funny and not calm is generous.
If someone is not strong then john is both not wise and not brave and vice versa.
Everyone who is quiet is both not strong and not brave.
Everyone who is kind or wise is both not brav... | Susan is tall. | contradiction | (![X]:((~kind(X)<~>~calm(X))<=>(creative(X)|~kind(X))))&
(![X]:((funny(X)&~calm(X))=>generous(X)))&
((?[X]:(~strong(X)))<=>((~wise(john)&~brave(john))))&
(![X]:(quiet(X)=>(~strong(X)&~brave(X))))&
(![X]:((kind(X)|wise(X))=>(~brave(X)&~calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)&patient(X))<=>(~... | tall(susan) | [
"p0",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5533556865181045501521824
% SZS output start Proof for 5533556865181045501521824
1. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> (~kind(X0) | creative(X0))) [input p0]
6. ? [X0] : ~brave(X0) <=> ? [X0] : tall(X0) [input p5]
7. ! [X0] : ((patient(X0) & tall(X0)) <=> (~creative(X0) <~> ~calm(X0)... | 0 |
If mary is calm then someone is not old or not brave and vice versa. Everyone who is not calm is either not curious or not humble and vice versa. If mary is not rich then someone is curious or not humble. Everyone who is both not rich and old is both wise and patient. Everyone who is not happy or old is both not calm a... | Mary is patient. | contradiction | ((calm(mary))<=>(?[X]:((~old(X)|~brave(X)))))&
(![X]:(~calm(X)<=>(~curious(X)<~>~humble(X))))&
((~rich(mary))=>(?[X]:((curious(X)|~humble(X)))))&
(![X]:((~rich(X)&old(X))=>(wise(X)&patient(X))))&
(![X]:((~happy(X)|old(X))<=>(~calm(X)&curious(X))))&
(![X]:((humble(X)<~>~generous(X))=>old(X)))&
((?[X]:((~calm(X)&~quiet(X... | patient(mary) | [
"p0",
"p4",
"p7",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7559394766933881769443416
% SZS output start Proof for 7559394766933881769443416
1. calm(mary) <=> ? [X0] : (~brave(X0) | ~old(X0)) [input p0]
5. ! [X0] : ((old(X0) | ~happy(X0)) <=> (curious(X0) & ~calm(X0))) [input p4]
8. ? [X0] : (wise(X0) | old(X0)) <=> ? [X0] : (~funny(X0) & ~curious... | 0 |
Everyone who is either old or happy is either not kind or not calm and vice versa.
Everyone who is both not tall and curious is either not brave or old and vice versa.
If someone is not calm then someone is not tall or wise and vice versa.
If john is rich then john is either brave or not quiet.
Everyone who is either n... | Mary is not rich. | neutral | (![X]:((old(X)<~>happy(X))<=>(~kind(X)<~>~calm(X))))&
(![X]:((~tall(X)&curious(X))<=>(~brave(X)<~>old(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)|wise(X)))))&
((rich(john))=>((brave(john)<~>~quiet(john))))&
(![X]:((~kind(X)<~>~wise(X))<=>(wise(X)<~>~quiet(X))))&
(![X]:((~patient(X)&~wise(X))=>(~funny(X)|rich(X))))&
(!... | ~rich(mary) | [] | null | 0 |
If someone is not old then someone is both quiet and happy and vice versa.
If susan is both not tall and calm then alice is either brave or generous and vice versa.
Everyone who is either not curious or kind is creative or not patient and vice versa.
If susan is either generous or not kind then alice is not calm and vi... | Fred is not curious. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((quiet(X)&happy(X)))))&
(((~tall(susan)&calm(susan)))<=>((brave(alice)<~>generous(alice))))&
(![X]:((~curious(X)<~>kind(X))<=>(creative(X)|~patient(X))))&
(((generous(susan)<~>~kind(susan)))<=>(~calm(alice)))&
(![X]:((brave(X)&~old(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((kind(X)&~rich(X))=>(~ki... | ~curious(fred) | [
"p4",
"p5",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6053090415196686263709176
% SZS output start Proof for 6053090415196686263709176
5. ! [X0] : ((~old(X0) & brave(X0)) <=> (~wise(X0) <~> wise(X0))) [input p4]
6. ! [X0] : ((~rich(X0) & kind(X0)) => (funny(X0) & ~kind(X0))) [input p5]
10. ? [X0] : (calm(X0) | ~kind(X0)) => old(alice) [input... | 0 |
Everyone who is tall or patient is either not tall or not patient.
If someone is not funny or generous then someone is either not rich or rich and vice versa.
Everyone who is not humble or brave is rich and vice versa.
If paul is both not patient and strong then someone is both happy and not curious.
If someone is both... | Paul is rich. | entailment | (![X]:((tall(X)|patient(X))=>(~tall(X)<~>~patient(X))))&
((?[X]:((~funny(X)|generous(X))))<=>(?[X]:((~rich(X)<~>rich(X)))))&
(![X]:((~humble(X)|brave(X))<=>rich(X)))&
(((~patient(paul)&strong(paul)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:((wise(X)&~calm(X))))=>((~brave(paul)&~generous(paul))))&
(((~old(john)|tall(j... | rich(paul) | [
"p2",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4709017511935657526655498
% SZS output start Proof for 4709017511935657526655498
3. ! [X0] : ((brave(X0) | ~humble(X0)) <=> rich(X0)) [input p2]
9. ! [X0] : (humble(X0) => (generous(X0) & ~creative(X0))) [input p8]
22. ~generous(paul) [input p21]
24. ~rich(paul) [input hypothesis]
31. ! [... | 0 |
If someone is both tall and wise then someone is not quiet.
If someone is patient or tall then someone is both not tall and not strong.
Everyone who is not wise or not patient is either old or humble.
Everyone who is not kind is either humble or not creative and vice versa.
Everyone who is either not old or not brave i... | Paul is not strong. | neutral | ((?[X]:((tall(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((patient(X)|tall(X))))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~wise(X)|~patient(X))=>(old(X)<~>humble(X))))&
(![X]:(~kind(X)<=>(humble(X)<~>~creative(X))))&
(![X]:((~old(X)<~>~brave(X))=>(curious(X)|tall(X))))&
(![X]:((~humble(X)<~>happy(X))<=>(~brave(X)&~wis... | ~strong(paul) | [] | null | 0 |
Everyone who is either not wise or not kind is both wise and not humble and vice versa. Everyone who is not brave or rich is both not kind and happy and vice versa. If someone is rich or not brave then alice is either not wise or funny. If fred is both not patient and strong then someone is both strong and not quiet an... | Susan is not quiet. | contradiction | (![X]:((~wise(X)<~>~kind(X))<=>(wise(X)&~humble(X))))&
(![X]:((~brave(X)|rich(X))<=>(~kind(X)&happy(X))))&
((?[X]:((rich(X)|~brave(X))))=>((~wise(alice)<~>funny(alice))))&
(((~patient(fred)&strong(fred)))<=>(?[X]:((strong(X)&~quiet(X)))))&
(![X]:((calm(X)&kind(X))=>(~wise(X)|~strong(X))))&
((happy(mary))<=>((~kind(paul... | ~quiet(susan) | [
"p0",
"p1",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8838129183600934645225165
% SZS output start Proof for 8838129183600934645225165
1. ! [X0] : ((~wise(X0) <~> ~kind(X0)) <=> (~humble(X0) & wise(X0))) [input p0]
2. ! [X0] : ((rich(X0) | ~brave(X0)) <=> (happy(X0) & ~kind(X0))) [input p1]
5. ! [X0] : ((kind(X0) & calm(X0)) => (~strong(X0) ... | 0 |
Everyone who is rich or not calm is either not rich or funny.
Everyone who is creative or not happy is both quiet and not old.
If paul is patient then someone is both not patient and patient and vice versa.
Everyone who is both not rich and not humble is not patient and vice versa.
If someone is not calm then paul is b... | Susan is not calm. | contradiction | (![X]:((rich(X)|~calm(X))=>(~rich(X)<~>funny(X))))&
(![X]:((creative(X)|~happy(X))=>(quiet(X)&~old(X))))&
((patient(paul))<=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:((~rich(X)&~humble(X))<=>~patient(X)))&
((?[X]:(~calm(X)))<=>((rich(paul)&calm(paul))))&
((?[X]:(humble(X)))=>(?[X]:(~happy(X))))&
((?[X]:(~quiet(X)))<=>... | ~calm(susan) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8617339547575923908607411
% SZS output start Proof for 8617339547575923908607411
3. patient(paul) <=> ? [X0] : (patient(X0) & ~patient(X0)) [input p2]
4. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> ~patient(X0)) [input p3]
5. ? [X0] : ~calm(X0) <=> (calm(paul) & rich(paul)) [input p4]
23. ~ca... | 0 |
If susan is either quiet or not creative then lucy is brave and vice versa.
If someone is not brave then alice is generous or not brave and vice versa.
Everyone who is not strong is generous.
If paul is not wise then someone is both not kind and not curious.
Everyone who is funny is either humble or wise and vice versa... | Lucy is not creative. | contradiction | (((quiet(susan)<~>~creative(susan)))<=>(brave(lucy)))&
((?[X]:(~brave(X)))<=>((generous(alice)|~brave(alice))))&
(![X]:(~strong(X)=>generous(X)))&
((~wise(paul))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:(funny(X)<=>(humble(X)<~>wise(X))))&
(![X]:((wise(X)&generous(X))<=>(old(X)&~wise(X))))&
((?[X]:((curious(X)&happy(X)... | ~creative(lucy) | [
"p5",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3766122240087928017361072
% SZS output start Proof for 3766122240087928017361072
6. ! [X0] : ((generous(X0) & wise(X0)) <=> (~wise(X0) & old(X0))) [input p5]
8. ! [X0] : ((~funny(X0) & generous(X0)) <=> (~curious(X0) <~> ~creative(X0))) [input p7]
9. ! [X0] : ((rich(X0) | ~wise(X0)) => (k... | 0 |
Everyone who is not kind or not generous is not rich and vice versa.
Everyone who is not calm or kind is not funny or tall and vice versa.
Everyone who is either not brave or not generous is happy.
If alice is either strong or not rich then paul is curious and vice versa.
Everyone who is not brave or rich is either not... | Susan is funny. | neutral | (![X]:((~kind(X)|~generous(X))<=>~rich(X)))&
(![X]:((~calm(X)|kind(X))<=>(~funny(X)|tall(X))))&
(![X]:((~brave(X)<~>~generous(X))=>happy(X)))&
(((strong(alice)<~>~rich(alice)))<=>(curious(paul)))&
(![X]:((~brave(X)|rich(X))<=>(~old(X)<~>rich(X))))&
(((humble(susan)<~>~kind(susan)))=>(?[X]:((generous(X)&~brave(X)))))&
(... | funny(susan) | [] | null | 0 |
Everyone who is both not creative and kind is both not tall and kind and vice versa.
Everyone who is either funny or creative is both not happy and not tall.
If mary is either not funny or generous then john is humble or not calm and vice versa.
Everyone who is humble or old is not patient.
Everyone who is humble is bo... | John is not brave. | entailment | (![X]:((~creative(X)&kind(X))<=>(~tall(X)&kind(X))))&
(![X]:((funny(X)<~>creative(X))=>(~happy(X)&~tall(X))))&
(((~funny(mary)<~>generous(mary)))<=>((humble(john)|~calm(john))))&
(![X]:((humble(X)|old(X))=>~patient(X)))&
(![X]:(humble(X)<=>(~calm(X)&~wise(X))))&
(![X]:((~strong(X)<~>~calm(X))<=>(~curious(X)|~creative(X... | ~brave(john) | [
"p1",
"p3",
"p4",
"p7",
"p9",
"p10",
"p11",
"p13",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 293573068428548537424906
% SZS output start Proof for 293573068428548537424906
2. ! [X0] : ((funny(X0) <~> creative(X0)) => (~tall(X0) & ~happy(X0))) [input p1]
4. ! [X0] : ((old(X0) | humble(X0)) => ~patient(X0)) [input p3]
5. ! [X0] : (humble(X0) <=> (~wise(X0) & ~calm(X0))) [input p4]
... | 0 |
Everyone who is patient is either brave or not strong.
If someone is both not humble and not kind then fred is both not old and happy and vice versa.
Everyone who is generous is either not humble or not wise.
Everyone who is both rich and tall is both tall and not happy and vice versa.
Everyone who is old or not funny ... | Alice is not humble. | entailment | (![X]:(patient(X)=>(brave(X)<~>~strong(X))))&
((?[X]:((~humble(X)&~kind(X))))<=>((~old(fred)&happy(fred))))&
(![X]:(generous(X)=>(~humble(X)<~>~wise(X))))&
(![X]:((rich(X)&tall(X))<=>(tall(X)&~happy(X))))&
(![X]:((old(X)|~funny(X))<=>(rich(X)<~>happy(X))))&
(((tall(fred)|old(fred)))=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(... | ~humble(alice) | [
"p8",
"p9",
"p10",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9050526671000839925818402
% SZS output start Proof for 9050526671000839925818402
9. ? [X0] : (tall(X0) <~> generous(X0)) => (~tall(alice) & ~humble(alice)) [input p8]
10. ! [X0] : ((~tall(X0) | generous(X0)) <=> kind(X0)) [input p9]
11. ! [X0] : ((~patient(X0) <~> ~funny(X0)) <=> (patient... | 0 |
If someone is both wise and creative then lucy is both strong and kind.
If someone is wise then fred is strong and vice versa.
Everyone who is generous is not humble or calm.
Everyone who is either rich or not generous is either not strong or calm.
Everyone who is both not rich and not creative is both not calm and tal... | Fred is calm. | contradiction | ((?[X]:((wise(X)&creative(X))))=>((strong(lucy)&kind(lucy))))&
((?[X]:(wise(X)))<=>(strong(fred)))&
(![X]:(generous(X)=>(~humble(X)|calm(X))))&
(![X]:((rich(X)<~>~generous(X))=>(~strong(X)<~>calm(X))))&
(![X]:((~rich(X)&~creative(X))=>(~calm(X)&tall(X))))&
(((calm(lucy)|~strong(lucy)))<=>((~brave(fred)|creative(fred)))... | calm(fred) | [
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4852920470136311132918162
% SZS output start Proof for 4852920470136311132918162
5. ! [X0] : ((~creative(X0) & ~rich(X0)) => (tall(X0) & ~calm(X0))) [input p4]
10. ! [X0] : ((~funny(X0) & rich(X0)) <=> (brave(X0) | funny(X0))) [input p9]
14. (~funny(paul) | strong(paul)) <=> (~rich(fred) ... | 0 |
Everyone who is generous is both kind and curious and vice versa.
Everyone who is either strong or generous is not funny or rich and vice versa.
Everyone who is not creative is both not brave and strong.
If someone is funny then someone is not curious or not brave.
Everyone who is not patient or not old is not strong o... | Mary is generous. | contradiction | (![X]:(generous(X)<=>(kind(X)&curious(X))))&
(![X]:((strong(X)<~>generous(X))<=>(~funny(X)|rich(X))))&
(![X]:(~creative(X)=>(~brave(X)&strong(X))))&
((?[X]:(funny(X)))=>(?[X]:((~curious(X)|~brave(X)))))&
(![X]:((~patient(X)|~old(X))<=>(~strong(X)|~curious(X))))&
((?[X]:((happy(X)|rich(X))))=>((~rich(john)<~>~humble(joh... | generous(mary) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4668885995446127323946256
% SZS output start Proof for 4668885995446127323946256
1. ! [X0] : (generous(X0) <=> (curious(X0) & kind(X0))) [input p0]
9. ? [X0] : (generous(X0) | ~brave(X0)) => (happy(mary) & ~kind(mary)) [input p8]
22. generous(mary) [input hypothesis]
32. (happy(mary) & ~k... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If john is not creative or not brave then mary is either funny or not brave and vice versa.
If someone is patient then someone is happy and vice versa.
If someone is both strong and old then susan is calm and vice versa.
Everyone who i... | John is wise. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
(((~creative(john)|~brave(john)))<=>((funny(mary)<~>~brave(mary))))&
((?[X]:(patient(X)))<=>(?[X]:(happy(X))))&
((?[X]:((strong(X)&old(X))))<=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall(X))<=>(~strong(X)<~>tall(X))))&
((?[X]... | wise(john) | [
"p0",
"p8",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5631278829949826479199850
% SZS output start Proof for 5631278829949826479199850
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) [input p8]
10. ! [X0] : (~quiet(X0) => (~calm(X0) | ~wise(... | 0 |
If someone is both tall and curious then fred is tall.
Everyone who is tall is not funny and vice versa.
Everyone who is not creative is not calm or wise and vice versa.
If john is either not kind or humble then susan is kind and vice versa.
If someone is rich then someone is both not wise and not generous.
If someone ... | Susan is not old. | contradiction | ((?[X]:((tall(X)&curious(X))))=>(tall(fred)))&
(![X]:(tall(X)<=>~funny(X)))&
(![X]:(~creative(X)<=>(~calm(X)|wise(X))))&
(((~kind(john)<~>humble(john)))<=>(kind(susan)))&
((?[X]:(rich(X)))=>(?[X]:((~wise(X)&~generous(X)))))&
((?[X]:((~kind(X)|~curious(X))))<=>(?[X]:(brave(X))))&
(![X]:((~strong(X)|~tall(X))<=>(~curious... | ~old(susan) | [
"p5",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7083178704768404752246051
% SZS output start Proof for 7083178704768404752246051
6. ? [X0] : (~curious(X0) | ~kind(X0)) <=> ? [X0] : brave(X0) [input p5]
10. ! [X0] : ((old(X0) | brave(X0)) <=> (~brave(X0) | ~wise(X0))) [input p9]
14. ! [X0] : (~wise(X0) => (generous(X0) <~> wise(X0))) [i... | 0 |
Everyone who is both curious and quiet is not tall.
If someone is brave or not happy then someone is not strong or kind and vice versa.
Everyone who is creative is kind or wise and vice versa.
Everyone who is not strong is both creative and wise.
Everyone who is both not generous and generous is tall or calm.
If john i... | Paul is funny. | entailment | (![X]:((curious(X)&quiet(X))=>~tall(X)))&
((?[X]:((brave(X)|~happy(X))))<=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:(creative(X)<=>(kind(X)|wise(X))))&
(![X]:(~strong(X)=>(creative(X)&wise(X))))&
(![X]:((~generous(X)&generous(X))=>(tall(X)|calm(X))))&
(((tall(john)&~wise(john)))<=>(brave(lucy)))&
(![X]:((funny(X)|~strong(... | funny(paul) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8895706181279438527402453
% SZS output start Proof for 8895706181279438527402453
9. ! [X0] : ((funny(X0) & old(X0)) <=> (curious(X0) | ~rich(X0))) [input p8]
13. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~funny(X0) | ~creative(X0))) [input p12]
22. ~funny(paul) [input hypothesis]
51. ! [X0] :... | 0 |
If mary is either calm or kind then lucy is rich or not patient and vice versa.
If mary is either strong or not curious then mary is either not calm or not quiet.
If someone is not strong or not generous then someone is not strong or rich.
Everyone who is tall is both generous and not wise and vice versa.
Everyone who ... | Alice is not patient. | entailment | (((calm(mary)<~>kind(mary)))<=>((rich(lucy)|~patient(lucy))))&
(((strong(mary)<~>~curious(mary)))=>((~calm(mary)<~>~quiet(mary))))&
((?[X]:((~strong(X)|~generous(X))))=>(?[X]:((~strong(X)|rich(X)))))&
(![X]:(tall(X)<=>(generous(X)&~wise(X))))&
(![X]:((kind(X)|~patient(X))<=>(tall(X)|~curious(X))))&
((curious(john))=>((... | ~patient(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5626900753113425146804711
% SZS output start Proof for 5626900753113425146804711
13. ! [X0] : (~humble(X0) <=> (humble(X0) | ~patient(X0))) [input p12]
23. patient(alice) [input hypothesis]
61. ! [X0] : ((~humble(X0) | (~humble(X0) & patient(X0))) & ((humble(X0) | ~patient(X0)) | humble(X... | 0 |
If someone is not humble then alice is either not kind or wise and vice versa.
Everyone who is both old and happy is quiet or wise.
If someone is not creative then someone is old and vice versa.
If alice is both kind and not strong then someone is both not strong and rich and vice versa.
If someone is not curious then ... | John is not quiet. | contradiction | ((?[X]:(~humble(X)))<=>((~kind(alice)<~>wise(alice))))&
(![X]:((old(X)&happy(X))=>(quiet(X)|wise(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(old(X))))&
(((kind(alice)&~strong(alice)))<=>(?[X]:((~strong(X)&rich(X)))))&
((?[X]:(~curious(X)))=>(?[X]:((patient(X)|brave(X)))))&
(((happy(mary)&rich(mary)))<=>(?[X]:((~wise(X)&~gen... | ~quiet(john) | [
"p6",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8406615131307851994441307
% SZS output start Proof for 8406615131307851994441307
7. ? [X0] : (~curious(X0) | ~kind(X0)) <=> ? [X0] : brave(X0) [input p6]
11. ! [X0] : ((old(X0) | brave(X0)) <=> (~brave(X0) | ~wise(X0))) [input p10]
14. ! [X0] : (~quiet(X0) => (~generous(X0) & ~curious(X0)... | 0 |
Everyone who is either patient or brave is not humble and vice versa.
If susan is either creative or not creative then someone is tall and vice versa.
If mary is creative or not creative then john is curious or not patient.
Everyone who is either curious or not calm is both generous and humble.
If someone is both creat... | Paul is happy. | contradiction | (![X]:((patient(X)<~>brave(X))<=>~humble(X)))&
(((creative(susan)<~>~creative(susan)))<=>(?[X]:(tall(X))))&
(((creative(mary)|~creative(mary)))=>((curious(john)|~patient(john))))&
(![X]:((curious(X)<~>~calm(X))=>(generous(X)&humble(X))))&
((?[X]:((creative(X)&wise(X))))<=>(?[X]:((~happy(X)&generous(X)))))&
((old(alice)... | happy(paul) | [
"p0",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8066630597881676290644919
% SZS output start Proof for 8066630597881676290644919
1. ! [X0] : ((patient(X0) <~> brave(X0)) <=> ~humble(X0)) [input p0]
11. ! [X0] : ((happy(X0) <~> brave(X0)) <=> humble(X0)) [input p10]
12. ! [X0] : (~patient(X0) <=> (~kind(X0) & ~strong(X0))) [input p11]
1... | 0 |
Everyone who is old or not curious is both tall and not old.
If someone is wise then paul is patient or not tall.
If someone is either not funny or quiet then someone is not old or not wise and vice versa.
If someone is curious or calm then alice is not generous or patient and vice versa.
If someone is either wise or s... | Alice is not rich. | entailment | (![X]:((old(X)|~curious(X))=>(tall(X)&~old(X))))&
((?[X]:(wise(X)))=>((patient(paul)|~tall(paul))))&
((?[X]:((~funny(X)<~>quiet(X))))<=>(?[X]:((~old(X)|~wise(X)))))&
((?[X]:((curious(X)|calm(X))))<=>((~generous(alice)|patient(alice))))&
((?[X]:((wise(X)<~>strong(X))))=>(?[X]:((~happy(X)<~>rich(X)))))&
(![X]:(happy(X)=>... | ~rich(alice) | [
"p0",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3590794743405797678715566
% SZS output start Proof for 3590794743405797678715566
1. ! [X0] : ((~curious(X0) | old(X0)) => (~old(X0) & tall(X0))) [input p0]
7. ! [X0] : ((~patient(X0) | ~calm(X0)) <=> (old(X0) & ~strong(X0))) [input p6]
10. ! [X0] : (~old(X0) => (~patient(X0) | ~humble(X0)... | 0 |
Everyone who is both funny and not calm is either happy or not funny and vice versa.
Everyone who is strong or not humble is either not strong or calm and vice versa.
Everyone who is both not strong and not old is quiet.
Everyone who is either not wise or not patient is both not patient and not funny and vice versa.
Ev... | John is old. | entailment | (![X]:((funny(X)&~calm(X))<=>(happy(X)<~>~funny(X))))&
(![X]:((strong(X)|~humble(X))<=>(~strong(X)<~>calm(X))))&
(![X]:((~strong(X)&~old(X))=>quiet(X)))&
(![X]:((~wise(X)<~>~patient(X))<=>(~patient(X)&~funny(X))))&
(![X]:(quiet(X)=>(curious(X)&old(X))))&
(![X]:(~funny(X)=>(happy(X)&~strong(X))))&
((?[X]:((brave(X)<~>~p... | old(john) | [
"p0",
"p1",
"p2",
"p4",
"p10",
"p12",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 665519751458773741699087
% SZS output start Proof for 665519751458773741699087
1. ! [X0] : ((~calm(X0) & funny(X0)) <=> (happy(X0) <~> ~funny(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | strong(X0)) <=> (~strong(X0) <~> calm(X0))) [input p1]
3. ! [X0] : ((~old(X0) & ~strong(X0)) => quiet(... | 0 |
If fred is either not kind or not quiet then john is either not strong or rich and vice versa.
If someone is both not calm and calm then someone is either not old or not happy.
If someone is humble then paul is both not patient and kind.
If mary is either patient or not curious then someone is both not humble and not c... | John is not patient. | contradiction | (((~kind(fred)<~>~quiet(fred)))<=>((~strong(john)<~>rich(john))))&
((?[X]:((~calm(X)&calm(X))))=>(?[X]:((~old(X)<~>~happy(X)))))&
((?[X]:(humble(X)))=>((~patient(paul)&kind(paul))))&
(((patient(mary)<~>~curious(mary)))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(humble(mary)))&
(![X]:(~old... | ~patient(john) | [
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5768317829102893788228363
% SZS output start Proof for 5768317829102893788228363
6. ! [X0] : (~old(X0) <=> (wise(X0) & creative(X0))) [input p5]
7. ! [X0] : (~patient(X0) <=> ~calm(X0)) [input p6]
9. ! [X0] : (~old(X0) <=> ~creative(X0)) [input p8]
11. ? [X0] : ~calm(X0) <=> ? [X0] : (wis... | 0 |
If someone is both not strong and not funny then john is either rich or not generous.
If someone is both strong and not old then someone is both funny and generous and vice versa.
If someone is not happy or not strong then someone is both kind and not strong.
Everyone who is either happy or brave is brave.
If paul is w... | Susan is old. | entailment | ((?[X]:((~strong(X)&~funny(X))))=>((rich(john)<~>~generous(john))))&
((?[X]:((strong(X)&~old(X))))<=>(?[X]:((funny(X)&generous(X)))))&
((?[X]:((~happy(X)|~strong(X))))=>(?[X]:((kind(X)&~strong(X)))))&
(![X]:((happy(X)<~>brave(X))=>brave(X)))&
(((wise(paul)|rich(paul)))<=>(?[X]:((quiet(X)|~happy(X)))))&
(((kind(lucy)|~r... | old(susan) | [
"p7",
"p9",
"p10",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 368358504301342676899640
% SZS output start Proof for 368358504301342676899640
8. ! [X0] : ((~kind(X0) | humble(X0)) => (brave(X0) & creative(X0))) [input p7]
10. ! [X0] : ((curious(X0) & calm(X0)) <=> (~funny(X0) <~> curious(X0))) [input p9]
11. ! [X0] : (~curious(X0) <=> (brave(X0) & ~o... | 0 |
Everyone who is not patient or not calm is either creative or rich and vice versa.
Everyone who is happy is humble and vice versa.
If someone is not humble then someone is either calm or tall.
If someone is both not brave and creative then fred is humble or not curious.
Everyone who is not curious is old or happy and v... | Fred is quiet. | neutral | (![X]:((~patient(X)|~calm(X))<=>(creative(X)<~>rich(X))))&
(![X]:(happy(X)<=>humble(X)))&
((?[X]:(~humble(X)))=>(?[X]:((calm(X)<~>tall(X)))))&
((?[X]:((~brave(X)&creative(X))))=>((humble(fred)|~curious(fred))))&
(![X]:(~curious(X)<=>(old(X)|happy(X))))&
(![X]:((funny(X)|~calm(X))<=>(~tall(X)&generous(X))))&
(![X]:(~gen... | quiet(fred) | [] | null | 0 |
Everyone who is not calm or not curious is not tall and vice versa.
If someone is either not tall or wise then someone is calm.
Everyone who is either not kind or not old is not happy or not curious.
If john is not strong then fred is both not brave and humble and vice versa.
If paul is not funny or not kind then mary ... | Susan is not rich. | contradiction | (![X]:((~calm(X)|~curious(X))<=>~tall(X)))&
((?[X]:((~tall(X)<~>wise(X))))=>(?[X]:(calm(X))))&
(![X]:((~kind(X)<~>~old(X))=>(~happy(X)|~curious(X))))&
((~strong(john))<=>((~brave(fred)&humble(fred))))&
(((~funny(paul)|~kind(paul)))<=>(calm(mary)))&
(((~creative(paul)<~>curious(paul)))<=>(?[X]:(strong(X))))&
(((brave(fr... | ~rich(susan) | [
"p0",
"p7",
"p12",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8283633504327858673574577
% SZS output start Proof for 8283633504327858673574577
1. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> ~tall(X0)) [input p0]
8. ! [X0] : ((generous(X0) & ~happy(X0)) <=> (tall(X0) & curious(X0))) [input p7]
13. ! [X0] : ((~tall(X0) | happy(X0)) <=> (~patient(X0) | ~b... | 0 |
If mary is not calm then someone is either not tall or not calm.
Everyone who is both generous and not funny is curious or brave and vice versa.
If lucy is not humble then someone is creative or not generous and vice versa.
If someone is wise then mary is either funny or not quiet.
Everyone who is not kind or quiet is ... | Paul is not humble. | entailment | ((~calm(mary))=>(?[X]:((~tall(X)<~>~calm(X)))))&
(![X]:((generous(X)&~funny(X))<=>(curious(X)|brave(X))))&
((~humble(lucy))<=>(?[X]:((creative(X)|~generous(X)))))&
((?[X]:(wise(X)))=>((funny(mary)<~>~quiet(mary))))&
(![X]:((~kind(X)|quiet(X))<=>(funny(X)<~>humble(X))))&
(![X]:((strong(X)|funny(X))<=>quiet(X)))&
((?[X]:... | ~humble(paul) | [
"p4",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1828399548622590449291957
% SZS output start Proof for 1828399548622590449291957
5. ! [X0] : ((quiet(X0) | ~kind(X0)) <=> (funny(X0) <~> humble(X0))) [input p4]
6. ! [X0] : ((funny(X0) | strong(X0)) <=> quiet(X0)) [input p5]
7. ? [X0] : ~strong(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [inp... | 0 |
Everyone who is both patient and wise is strong and vice versa.
If mary is either calm or funny then someone is either brave or not humble and vice versa.
Everyone who is both patient and not quiet is both funny and calm.
Everyone who is either old or curious is either not quiet or calm.
Everyone who is both not creati... | Mary is funny. | contradiction | (![X]:((patient(X)&wise(X))<=>strong(X)))&
(((calm(mary)<~>funny(mary)))<=>(?[X]:((brave(X)<~>~humble(X)))))&
(![X]:((patient(X)&~quiet(X))=>(funny(X)&calm(X))))&
(![X]:((old(X)<~>curious(X))=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)&humble(X))<=>(~brave(X)|~happy(X))))&
(![X]:(quiet(X)<=>(brave(X)<~>creative(X)))... | funny(mary) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8654182112315455208396801
% SZS output start Proof for 8654182112315455208396801
2. (calm(mary) <~> funny(mary)) <=> ? [X0] : (brave(X0) <~> ~humble(X0)) [input p1]
4. ! [X0] : ((old(X0) <~> curious(X0)) => (~quiet(X0) <~> calm(X0))) [input p3]
5. ! [X0] : ((humble(X0) & ~creative(X0)) <=... | 0 |
If fred is not old or tall then fred is patient or not quiet and vice versa.
If john is both not tall and not generous then someone is not tall.
If someone is humble then someone is either curious or tall.
If mary is either not calm or funny then lucy is not old or strong and vice versa.
If someone is not happy or not ... | Mary is not calm. | entailment | (((~old(fred)|tall(fred)))<=>((patient(fred)|~quiet(fred))))&
(((~tall(john)&~generous(john)))=>(?[X]:(~tall(X))))&
((?[X]:(humble(X)))=>(?[X]:((curious(X)<~>tall(X)))))&
(((~calm(mary)<~>funny(mary)))<=>((~old(lucy)|strong(lucy))))&
((?[X]:((~happy(X)|~old(X))))<=>((generous(susan)&curious(susan))))&
((?[X]:((~kind(X)... | ~calm(mary) | [
"p3",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2659004780971989955690454
% SZS output start Proof for 2659004780971989955690454
4. (~calm(mary) <~> funny(mary)) <=> (strong(lucy) | ~old(lucy)) [input p3]
7. ! [X0] : (patient(X0) <=> (~humble(X0) & humble(X0))) [input p6]
8. ! [X0] : (~strong(X0) => (~patient(X0) <~> ~strong(X0))) [inp... | 0 |
If someone is both old and not patient then someone is not creative or not brave and vice versa.
Everyone who is not brave is both not happy and not patient.
If fred is brave or funny then mary is not wise.
If someone is not patient or not strong then alice is both generous and not kind and vice versa.
Everyone who is ... | Lucy is not wise. | contradiction | ((?[X]:((old(X)&~patient(X))))<=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:(~brave(X)=>(~happy(X)&~patient(X))))&
(((brave(fred)|funny(fred)))=>(~wise(mary)))&
((?[X]:((~patient(X)|~strong(X))))<=>((generous(alice)&~kind(alice))))&
(![X]:((brave(X)|kind(X))<=>~patient(X)))&
(![X]:((~tall(X)<~>strong(X))=>(creative(X)|h... | ~wise(lucy) | [
"p1",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8167809700973694494815262
% SZS output start Proof for 8167809700973694494815262
2. ! [X0] : (~brave(X0) => (~patient(X0) & ~happy(X0))) [input p1]
5. ! [X0] : ((kind(X0) | brave(X0)) <=> ~patient(X0)) [input p4]
7. ! [X0] : (~patient(X0) => (~curious(X0) & wise(X0))) [input p6]
23. ~wise... | 0 |
Everyone who is not patient is both not quiet and not creative and vice versa.
Everyone who is both not curious and old is either not strong or tall and vice versa.
If someone is not wise or not funny then paul is both funny and not quiet and vice versa.
Everyone who is funny or not creative is not funny or quiet.
Ever... | Paul is not calm. | entailment | (![X]:(~patient(X)<=>(~quiet(X)&~creative(X))))&
(![X]:((~curious(X)&old(X))<=>(~strong(X)<~>tall(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>((funny(paul)&~quiet(paul))))&
(![X]:((funny(X)|~creative(X))=>(~funny(X)|quiet(X))))&
(![X]:((~tall(X)&strong(X))=>(~tall(X)<~>~old(X))))&
((?[X]:((rich(X)|~tall(X))))=>((old(susan)... | ~calm(paul) | [
"p0",
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7338582147504319817525227
% SZS output start Proof for 7338582147504319817525227
1. ! [X0] : (~patient(X0) <=> (~creative(X0) & ~quiet(X0))) [input p0]
3. ? [X0] : (~funny(X0) | ~wise(X0)) <=> (~quiet(paul) & funny(paul)) [input p2]
4. ! [X0] : ((~creative(X0) | funny(X0)) => (quiet(X0) |... | 0 |
Everyone who is not brave or happy is not humble.
Everyone who is not calm or not quiet is old or brave and vice versa.
Everyone who is not generous or not tall is not creative.
Everyone who is both creative and not happy is not generous or curious and vice versa.
Everyone who is brave or not generous is not tall or ge... | Lucy is not old. | neutral | (![X]:((~brave(X)|happy(X))=>~humble(X)))&
(![X]:((~calm(X)|~quiet(X))<=>(old(X)|brave(X))))&
(![X]:((~generous(X)|~tall(X))=>~creative(X)))&
(![X]:((creative(X)&~happy(X))<=>(~generous(X)|curious(X))))&
(![X]:((brave(X)|~generous(X))<=>(~tall(X)|generous(X))))&
(![X]:((curious(X)<~>~curious(X))=>(generous(X)&~wise(X))... | ~old(lucy) | [] | null | 0 |
Everyone who is both quiet and not funny is either old or not old and vice versa. If someone is either not old or not calm then someone is either not funny or not humble. If someone is either not curious or tall then alice is either not strong or curious. If someone is both not humble and tall then someone is both happ... | Lucy is happy. | entailment | (![X]:((quiet(X)&~funny(X))<=>(old(X)<~>~old(X))))&
((?[X]:((~old(X)<~>~calm(X))))=>(?[X]:((~funny(X)<~>~humble(X)))))&
((?[X]:((~curious(X)<~>tall(X))))=>((~strong(alice)<~>curious(alice))))&
((?[X]:((~humble(X)&tall(X))))<=>(?[X]:((happy(X)&tall(X)))))&
(![X]:(~humble(X)=>(quiet(X)&~curious(X))))&
((?[X]:((~humble(X)... | happy(lucy) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2591260517699425312116068
% SZS output start Proof for 2591260517699425312116068
1. ! [X0] : ((~funny(X0) & quiet(X0)) <=> (old(X0) <~> ~old(X0))) [input p0]
9. ! [X0] : ((calm(X0) | ~happy(X0)) => (~quiet(X0) & humble(X0))) [input p8]
19. ~happy(lucy) [input hypothesis]
27. ! [X0] : ((~q... | 0 |
Everyone who is not strong or curious is both funny and not humble and vice versa.
Everyone who is both not strong and old is not creative or not brave and vice versa.
If john is kind or humble then susan is either tall or patient.
Everyone who is either not patient or humble is not generous or not brave and vice versa... | Paul is not generous. | entailment | (![X]:((~strong(X)|curious(X))<=>(funny(X)&~humble(X))))&
(![X]:((~strong(X)&old(X))<=>(~creative(X)|~brave(X))))&
(((kind(john)|humble(john)))=>((tall(susan)<~>patient(susan))))&
(![X]:((~patient(X)<~>humble(X))<=>(~generous(X)|~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((curious(X)|humble(X)))))&
((?[X]:((funny(X)<~>~ge... | ~generous(paul) | [
"p0",
"p1",
"p6",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5741400685198601230402253
% SZS output start Proof for 5741400685198601230402253
1. ! [X0] : ((curious(X0) | ~strong(X0)) <=> (~humble(X0) & funny(X0))) [input p0]
2. ! [X0] : ((old(X0) & ~strong(X0)) <=> (~brave(X0) | ~creative(X0))) [input p1]
7. ! [X0] : ((~generous(X0) | ~old(X0)) <=>... | 0 |
Everyone who is old or generous is either creative or not calm and vice versa.
If someone is either creative or strong then mary is not brave.
Everyone who is both humble and happy is either not kind or funny and vice versa.
Everyone who is not quiet is not brave or not rich and vice versa.
Everyone who is old is gener... | Susan is happy. | neutral | (![X]:((old(X)|generous(X))<=>(creative(X)<~>~calm(X))))&
((?[X]:((creative(X)<~>strong(X))))=>(~brave(mary)))&
(![X]:((humble(X)&happy(X))<=>(~kind(X)<~>funny(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
(![X]:(old(X)<=>(generous(X)|~old(X))))&
(![X]:(~rich(X)=>(strong(X)&quiet(X))))&
(![X]:((~rich(X)&~tall(X))=>... | happy(susan) | [] | null | 0 |
If paul is either kind or strong then lucy is both quiet and not happy. If someone is calm then someone is strong or humble and vice versa. If someone is both calm and humble then someone is either rich or not quiet. If someone is both kind and not patient then someone is both tall and not old. If someone is not genero... | Alice is not generous. | neutral | (((kind(paul)<~>strong(paul)))=>((quiet(lucy)&~happy(lucy))))&
((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]... | ~generous(alice) | [] | null | 0 |
Everyone who is either wise or curious is both quiet and not quiet. Everyone who is either happy or not curious is either kind or old and vice versa. If someone is not creative or strong then someone is both patient and tall and vice versa. If paul is both funny and not rich then someone is not curious and vice versa. ... | Mary is not brave. | entailment | (![X]:((wise(X)<~>curious(X))=>(quiet(X)&~quiet(X))))&
(![X]:((happy(X)<~>~curious(X))<=>(kind(X)<~>old(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((patient(X)&tall(X)))))&
(((funny(paul)&~rich(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((brave(X)|~curious(X))<=>(patient(X)&curious(X))))&
(((~strong(susan)|~rich(sus... | ~brave(mary) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2397846652813164692182859
% SZS output start Proof for 2397846652813164692182859
5. ! [X0] : ((~curious(X0) | brave(X0)) <=> (curious(X0) & patient(X0))) [input p4]
7. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~strong(X0) | ~patient(X0))) [input p6]
22. brave(mary) [input hypothesis]
42. !... | 0 |
If paul is both not strong and strong then someone is both not old and not quiet and vice versa. Everyone who is strong or generous is both old and strong and vice versa. If someone is not creative or not quiet then someone is both humble and not quiet. Everyone who is both not humble and curious is both not calm and g... | Alice is curious. | contradiction | (((~strong(paul)&strong(paul)))<=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((strong(X)|generous(X))<=>(old(X)&strong(X))))&
((?[X]:((~creative(X)|~quiet(X))))=>(?[X]:((humble(X)&~quiet(X)))))&
(![X]:((~humble(X)&curious(X))=>(~calm(X)&generous(X))))&
(((patient(john)<~>~calm(john)))<=>(?[X]:((~patient(X)<~>old(X)))))&
(![X... | curious(alice) | [
"p0",
"p1",
"p2",
"p6",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8755170452957376832482475
% SZS output start Proof for 8755170452957376832482475
1. (strong(paul) & ~strong(paul)) <=> ? [X0] : (~quiet(X0) & ~old(X0)) [input p0]
2. ! [X0] : ((generous(X0) | strong(X0)) <=> (strong(X0) & old(X0))) [input p1]
3. ? [X0] : (~quiet(X0) | ~creative(X0)) => ? ... | 0 |
Everyone who is either not strong or not happy is not quiet or not tall and vice versa.
If someone is funny then john is not patient or not quiet and vice versa.
Everyone who is not quiet is strong or not calm and vice versa.
Everyone who is calm is not humble and vice versa.
Everyone who is curious is not calm and vic... | Susan is humble. | entailment | (![X]:((~strong(X)<~>~happy(X))<=>(~quiet(X)|~tall(X))))&
((?[X]:(funny(X)))<=>((~patient(john)|~quiet(john))))&
(![X]:(~quiet(X)<=>(strong(X)|~calm(X))))&
(![X]:(calm(X)<=>~humble(X)))&
(![X]:(curious(X)<=>~calm(X)))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)<~>~old(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~patient(X)<~>~kin... | humble(susan) | [
"p1",
"p2",
"p3",
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6421468682743623874110182
% SZS output start Proof for 6421468682743623874110182
2. ? [X0] : funny(X0) <=> (~quiet(john) | ~patient(john)) [input p1]
3. ! [X0] : (~quiet(X0) <=> (~calm(X0) | strong(X0))) [input p2]
4. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p3]
5. ! [X0] : (curious(X0)... | 0 |
If john is both not wise and not humble then alice is patient. If someone is both funny and not creative then susan is both not calm and not strong. Everyone who is not brave is kind. Everyone who is not funny is funny or not strong and vice versa. Everyone who is both patient and creative is both not kind and funny an... | John is calm. | neutral | (((~wise(john)&~humble(john)))=>(patient(alice)))&
((?[X]:((funny(X)&~creative(X))))=>((~calm(susan)&~strong(susan))))&
(![X]:(~brave(X)=>kind(X)))&
(![X]:(~funny(X)<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&creative(X))<=>(~kind(X)&funny(X))))&
(![X]:((rich(X)|tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~creative... | calm(john) | [] | null | 0 |
If mary is funny or not rich then someone is not strong.
Everyone who is both patient and not curious is either not humble or tall.
If susan is both not old and not strong then someone is not brave or not patient and vice versa.
If alice is both patient and not patient then someone is tall or creative and vice versa.
E... | Mary is funny. | contradiction | (((funny(mary)|~rich(mary)))=>(?[X]:(~strong(X))))&
(![X]:((patient(X)&~curious(X))=>(~humble(X)<~>tall(X))))&
(((~old(susan)&~strong(susan)))<=>(?[X]:((~brave(X)|~patient(X)))))&
(((patient(alice)&~patient(alice)))<=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((~rich(X)|~calm(X))=>rich(X)))&
(![X]:((wise(X)<~>kind(X))<=>(... | funny(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4854081679658149415206720
% SZS output start Proof for 4854081679658149415206720
12. ! [X0] : ((~funny(X0) <~> old(X0)) <=> ~old(X0)) [input p11]
23. funny(mary) [input hypothesis]
56. ! [X0] : ((((~old(X0) | funny(X0)) & (old(X0) | ~funny(X0))) | old(X0)) & (~old(X0) | ((~funny(X0) | ~ol... | 0 |
If someone is both generous and strong then fred is either funny or not calm.
Everyone who is strong is both creative and not old.
Everyone who is either tall or not wise is brave or not patient and vice versa.
Everyone who is both not creative and not humble is both tall and brave.
Everyone who is both not calm and ol... | Fred is not patient. | neutral | ((?[X]:((generous(X)&strong(X))))=>((funny(fred)<~>~calm(fred))))&
(![X]:(strong(X)=>(creative(X)&~old(X))))&
(![X]:((tall(X)<~>~wise(X))<=>(brave(X)|~patient(X))))&
(![X]:((~creative(X)&~humble(X))=>(tall(X)&brave(X))))&
(![X]:((~calm(X)&old(X))<=>(~funny(X)|~strong(X))))&
((?[X]:((~patient(X)<~>wise(X))))=>(?[X]:((~k... | ~patient(fred) | [] | null | 0 |
Everyone who is not humble or rich is generous.
Everyone who is not generous or not rich is brave.
If someone is both calm and rich then susan is either not rich or not wise and vice versa.
If paul is either generous or old then someone is wise and vice versa.
Everyone who is quiet or not calm is both not strong and no... | John is not old. | contradiction | (![X]:((~humble(X)|rich(X))=>generous(X)))&
(![X]:((~generous(X)|~rich(X))=>brave(X)))&
((?[X]:((calm(X)&rich(X))))<=>((~rich(susan)<~>~wise(susan))))&
(((generous(paul)<~>old(paul)))<=>(?[X]:(wise(X))))&
(![X]:((quiet(X)|~calm(X))<=>(~strong(X)&~rich(X))))&
(![X]:((~patient(X)<~>tall(X))<=>~generous(X)))&
(![X]:((kind... | ~old(john) | [
"p4",
"p6",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7518406500843464596757299
% SZS output start Proof for 7518406500843464596757299
5. ! [X0] : ((~calm(X0) | quiet(X0)) <=> (~rich(X0) & ~strong(X0))) [input p4]
7. ! [X0] : ((~old(X0) | kind(X0)) => (~rich(X0) <~> ~happy(X0))) [input p6]
8. ! [X0] : ((happy(X0) <~> ~kind(X0)) => (~humble(X... | 0 |
Everyone who is either funny or not old is both rich and not patient and vice versa.
Everyone who is old or not curious is not curious and vice versa.
If someone is either not calm or not wise then fred is funny or old and vice versa.
Everyone who is rich is not brave or not strong.
Everyone who is not creative or tall... | Fred is old. | neutral | (![X]:((funny(X)<~>~old(X))<=>(rich(X)&~patient(X))))&
(![X]:((old(X)|~curious(X))<=>~curious(X)))&
((?[X]:((~calm(X)<~>~wise(X))))<=>((funny(fred)|old(fred))))&
(![X]:(rich(X)=>(~brave(X)|~strong(X))))&
(![X]:((~creative(X)|tall(X))<=>humble(X)))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:((creative(X)&quiet(X)))))&
... | old(fred) | [] | null | 0 |
Everyone who is happy is not old or not kind and vice versa. Everyone who is either strong or not old is humble or wise and vice versa. If susan is rich or not brave then someone is both wise and creative and vice versa. If paul is quiet then alice is both not strong and curious. Everyone who is brave or generous is ei... | Paul is not curious. | neutral | (![X]:(happy(X)<=>(~old(X)|~kind(X))))&
(![X]:((strong(X)<~>~old(X))<=>(humble(X)|wise(X))))&
(((rich(susan)|~brave(susan)))<=>(?[X]:((wise(X)&creative(X)))))&
((quiet(paul))=>((~strong(alice)&curious(alice))))&
(![X]:((brave(X)|generous(X))=>(curious(X)<~>~brave(X))))&
(![X]:((~wise(X)&~patient(X))=>(~tall(X)&~funny(X... | ~curious(paul) | [] | null | 0 |
Everyone who is not strong or not brave is either tall or not quiet.
Everyone who is not wise or not funny is generous or not quiet and vice versa.
Everyone who is generous is not wise.
Everyone who is either funny or not tall is kind or curious.
Everyone who is funny or strong is brave.
Everyone who is not patient is ... | Susan is quiet. | entailment | (![X]:((~strong(X)|~brave(X))=>(tall(X)<~>~quiet(X))))&
(![X]:((~wise(X)|~funny(X))<=>(generous(X)|~quiet(X))))&
(![X]:(generous(X)=>~wise(X)))&
(![X]:((funny(X)<~>~tall(X))=>(kind(X)|curious(X))))&
(![X]:((funny(X)|strong(X))=>brave(X)))&
(![X]:(~patient(X)=>(calm(X)|~calm(X))))&
(![X]:((~strong(X)|~tall(X))<=>(rich(X... | quiet(susan) | [
"p0",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 53030654459116900320092
% SZS output start Proof for 53030654459116900320092
1. ! [X0] : ((~brave(X0) | ~strong(X0)) => (tall(X0) <~> ~quiet(X0))) [input p0]
11. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (~humble(X0) & tall(X0))) [input p10]
14. ? [X0] : brave(X0) => ? [X0] : (~old(X0) &... | 0 |
If someone is either not tall or not creative then fred is either tall or strong and vice versa.
If someone is either not old or not tall then someone is both not humble and tall.
Everyone who is either funny or kind is both happy and not humble.
Everyone who is either brave or not creative is both creative and not ric... | John is creative. | contradiction | ((?[X]:((~tall(X)<~>~creative(X))))<=>((tall(fred)<~>strong(fred))))&
((?[X]:((~old(X)<~>~tall(X))))=>(?[X]:((~humble(X)&tall(X)))))&
(![X]:((funny(X)<~>kind(X))=>(happy(X)&~humble(X))))&
(![X]:((brave(X)<~>~creative(X))=>(creative(X)&~rich(X))))&
(((~patient(susan)&~quiet(susan)))=>((~patient(john)&curious(john))))&
(... | creative(john) | [
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 28934581945190057725058
% SZS output start Proof for 28934581945190057725058
8. ! [X0] : (patient(X0) => (humble(X0) & ~humble(X0))) [input p7]
11. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> quiet(X0)) [input p10]
13. ! [X0] : ((strong(X0) <~> quiet(X0)) => ~creative(X0)) [input p12]
25.... | 0 |
If someone is not happy then paul is either creative or brave.
If someone is either calm or curious then lucy is funny and vice versa.
Everyone who is either not strong or tall is not funny.
If alice is either not quiet or not creative then lucy is both not funny and not calm and vice versa.
If someone is either not cr... | Paul is strong. | neutral | ((?[X]:(~happy(X)))=>((creative(paul)<~>brave(paul))))&
((?[X]:((calm(X)<~>curious(X))))<=>(funny(lucy)))&
(![X]:((~strong(X)<~>tall(X))=>~funny(X)))&
(((~quiet(alice)<~>~creative(alice)))<=>((~funny(lucy)&~calm(lucy))))&
((?[X]:((~creative(X)<~>~happy(X))))=>(?[X]:((brave(X)|kind(X)))))&
((~calm(lucy))<=>(?[X]:(~brave... | strong(paul) | [] | null | 0 |
Everyone who is both rich and funny is rich or happy. If john is both generous and strong then someone is not old and vice versa. Everyone who is either not happy or not strong is brave and vice versa. Everyone who is old or creative is either not wise or generous and vice versa. Everyone who is wise is happy or not ol... | John is humble. | contradiction | (![X]:((rich(X)&funny(X))=>(rich(X)|happy(X))))&
(((generous(john)&strong(john)))<=>(?[X]:(~old(X))))&
(![X]:((~happy(X)<~>~strong(X))<=>brave(X)))&
(![X]:((old(X)|creative(X))<=>(~wise(X)<~>generous(X))))&
(![X]:(wise(X)=>(happy(X)|~old(X))))&
(![X]:((~patient(X)<~>quiet(X))=>calm(X)))&
(![X]:((kind(X)|old(X))<=>(~tal... | humble(john) | [
"p1",
"p3",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8441592591759729386126163
% SZS output start Proof for 8441592591759729386126163
2. (strong(john) & generous(john)) <=> ? [X0] : ~old(X0) [input p1]
4. ! [X0] : ((creative(X0) | old(X0)) <=> (~wise(X0) <~> generous(X0))) [input p3]
7. ! [X0] : ((old(X0) | kind(X0)) <=> (~funny(X0) & ~tall... | 0 |
If john is kind or rich then someone is either funny or humble.
Everyone who is happy is both not humble and not quiet.
Everyone who is brave or calm is not happy or happy.
Everyone who is either wise or curious is not rich.
Everyone who is either curious or humble is either not humble or old.
Everyone who is either no... | Alice is not rich. | neutral | (((kind(john)|rich(john)))=>(?[X]:((funny(X)<~>humble(X)))))&
(![X]:(happy(X)=>(~humble(X)&~quiet(X))))&
(![X]:((brave(X)|calm(X))=>(~happy(X)|happy(X))))&
(![X]:((wise(X)<~>curious(X))=>~rich(X)))&
(![X]:((curious(X)<~>humble(X))=>(~humble(X)<~>old(X))))&
(![X]:((~strong(X)<~>humble(X))<=>~quiet(X)))&
(![X]:((rich(X)<... | ~rich(alice) | [] | null | 0 |
If mary is generous or not calm then someone is both humble and not kind and vice versa.
If someone is either generous or not curious then john is either not strong or kind and vice versa.
If someone is both not humble and tall then paul is either humble or not generous and vice versa.
If someone is both happy and rich... | Mary is not strong. | contradiction | (((generous(mary)|~calm(mary)))<=>(?[X]:((humble(X)&~kind(X)))))&
((?[X]:((generous(X)<~>~curious(X))))<=>((~strong(john)<~>kind(john))))&
((?[X]:((~humble(X)&tall(X))))<=>((humble(paul)<~>~generous(paul))))&
((?[X]:((happy(X)&rich(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(((~creative(susan)&~kind(susan)))=>(?[X]:(cr... | ~strong(mary) | [
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7461353617408820279795491
% SZS output start Proof for 7461353617408820279795491
13. ! [X0] : ((~strong(X0) | humble(X0)) <=> (curious(X0) <~> ~strong(X0))) [input p12]
16. ! [X0] : ((curious(X0) & ~tall(X0)) <=> (creative(X0) | ~curious(X0))) [input p15]
21. ~strong(mary) [input hypothes... | 0 |
If someone is either tall or brave then someone is wise or generous and vice versa. If someone is both curious and not old then someone is both not quiet and humble and vice versa. If mary is strong or generous then susan is not calm. Everyone who is both not calm and creative is both tall and old. If someone is both n... | John is not patient. | entailment | ((?[X]:((tall(X)<~>brave(X))))<=>(?[X]:((wise(X)|generous(X)))))&
((?[X]:((curious(X)&~old(X))))<=>(?[X]:((~quiet(X)&humble(X)))))&
(((strong(mary)|generous(mary)))=>(~calm(susan)))&
(![X]:((~calm(X)&creative(X))=>(tall(X)&old(X))))&
((?[X]:((~calm(X)&~creative(X))))=>(~patient(mary)))&
(![X]:((patient(X)<~>~patient(X)... | ~patient(john) | [
"p5",
"p6",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1428803716440081834365411
% SZS output start Proof for 1428803716440081834365411
6. ! [X0] : ((patient(X0) <~> ~patient(X0)) => (~rich(X0) & wise(X0))) [input p5]
7. (~wise(john) <~> ~old(john)) <=> ? [X0] : (patient(X0) | funny(X0)) [input p6]
11. ? [X0] : (creative(X0) & ~happy(X0)) <=>... | 0 |
Everyone who is patient or generous is either not old or brave and vice versa. If susan is either not happy or creative then someone is not strong. If mary is either curious or creative then someone is wise and vice versa. If someone is either calm or kind then fred is either happy or not brave and vice versa. Everyone... | Lucy is humble. | contradiction | (![X]:((patient(X)|generous(X))<=>(~old(X)<~>brave(X))))&
(((~happy(susan)<~>creative(susan)))=>(?[X]:(~strong(X))))&
(((curious(mary)<~>creative(mary)))<=>(?[X]:(wise(X))))&
((?[X]:((calm(X)<~>kind(X))))<=>((happy(fred)<~>~brave(fred))))&
(![X]:((generous(X)&~happy(X))<=>(creative(X)|patient(X))))&
((patient(susan))=>... | humble(lucy) | [
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7318671038522295684646831
% SZS output start Proof for 7318671038522295684646831
8. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~happy(X0) & curious(X0))) [input p7]
12. ! [X0] : ((happy(X0) & generous(X0)) <=> (~creative(X0) | ~tall(X0))) [input p11]
16. ! [X0] : ((kind(X0) <~> ~kind(X0)) => ... | 0 |
Everyone who is either brave or happy is not rich and vice versa.
If someone is either not curious or curious then lucy is not humble and vice versa.
Everyone who is not patient or not strong is either happy or not kind and vice versa.
If fred is not funny or not wise then fred is not creative.
If someone is both tall ... | Alice is not happy. | entailment | (![X]:((brave(X)<~>happy(X))<=>~rich(X)))&
((?[X]:((~curious(X)<~>curious(X))))<=>(~humble(lucy)))&
(![X]:((~patient(X)|~strong(X))<=>(happy(X)<~>~kind(X))))&
(((~funny(fred)|~wise(fred)))=>(~creative(fred)))&
((?[X]:((tall(X)&strong(X))))=>((happy(susan)&patient(susan))))&
((?[X]:((~wise(X)|~curious(X))))<=>(?[X]:((~h... | ~happy(alice) | [
"p0",
"p9",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2439337872446939086299407
% SZS output start Proof for 2439337872446939086299407
1. ! [X0] : ((brave(X0) <~> happy(X0)) <=> ~rich(X0)) [input p0]
10. ! [X0] : (~quiet(X0) <=> (~rich(X0) & generous(X0))) [input p9]
14. ! [X0] : ((~kind(X0) & kind(X0)) <=> (~rich(X0) | ~creative(X0))) [inpu... | 0 |
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