premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not funny or rich is both tall and creative and vice versa. Everyone who is not generous or tall is kind and vice versa. Everyone who is both kind and humble is not curious. Everyone who is old is calm. Everyone who is both not funny and generous is both not creative and not generous. Everyone who is hu... | John is tall. | contradiction | (![X]:((~funny(X)|rich(X))<=>(tall(X)&creative(X))))&
(![X]:((~generous(X)|tall(X))<=>kind(X)))&
(![X]:((kind(X)&humble(X))=>~curious(X)))&
(![X]:(old(X)=>calm(X)))&
(![X]:((~funny(X)&generous(X))=>(~creative(X)&~generous(X))))&
(![X]:((humble(X)|~happy(X))<=>(~brave(X)&kind(X))))&
(![X]:(~quiet(X)=>~tall(X)))&
(![X]:(... | tall(john) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8422611585073571629876429
% SZS output start Proof for 8422611585073571629876429
2. ! [X0] : ((tall(X0) | ~generous(X0)) <=> kind(X0)) [input p1]
12. ! [X0] : ((kind(X0) | quiet(X0)) => ~tall(X0)) [input p11]
23. tall(john) [input hypothesis]
34. ! [X0] : (~tall(X0) | (~kind(X0) & ~quiet(... | 0 |
Everyone who is either strong or curious is not funny and vice versa.
If someone is not old or calm then susan is not happy.
Everyone who is either happy or kind is strong.
If someone is not calm or not tall then john is either rich or old and vice versa.
If alice is both not brave and happy then someone is both not cu... | Susan is humble. | contradiction | (![X]:((strong(X)<~>curious(X))<=>~funny(X)))&
((?[X]:((~old(X)|calm(X))))=>(~happy(susan)))&
(![X]:((happy(X)<~>kind(X))=>strong(X)))&
((?[X]:((~calm(X)|~tall(X))))<=>((rich(john)<~>old(john))))&
(((~brave(alice)&happy(alice)))<=>(?[X]:((~curious(X)&kind(X)))))&
((~calm(susan))<=>(?[X]:(old(X))))&
((?[X]:(quiet(X)))=>... | humble(susan) | [
"p5",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 336775234819057633543438
% SZS output start Proof for 336775234819057633543438
6. ~calm(susan) <=> ? [X0] : old(X0) [input p5]
12. ! [X0] : ((old(X0) | ~calm(X0)) => ~humble(X0)) [input p11]
13. ! [X0] : (~funny(X0) <=> happy(X0)) [input p12]
15. ! [X0] : (brave(X0) <=> (~happy(X0) & funn... | 0 |
Everyone who is wise is either happy or not patient. Everyone who is not old is either patient or not kind and vice versa. If paul is not funny or strong then someone is rich or not strong. Everyone who is patient is not rich and vice versa. If someone is both not old and not rich then someone is both not old and not s... | John is not happy. | contradiction | (![X]:(wise(X)=>(happy(X)<~>~patient(X))))&
(![X]:(~old(X)<=>(patient(X)<~>~kind(X))))&
(((~funny(paul)|strong(paul)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(patient(X)<=>~rich(X)))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:((~old(X)&~strong(X)))))&
((strong(lucy))=>((tall(lucy)<~>calm(lucy))))&
(((~patient(john)<~>~curio... | ~happy(john) | [
"p0",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 988444802000157704538379
% SZS output start Proof for 988444802000157704538379
1. ! [X0] : (wise(X0) => (happy(X0) <~> ~patient(X0))) [input p0]
13. ? [X0] : (~creative(X0) | ~rich(X0)) => patient(john) [input p12]
19. ~strong(john) & wise(john) [input p18]
21. ? [X0] : ~rich(X0) [input p... | 0 |
If someone is not quiet then someone is both humble and strong and vice versa. If someone is either creative or not humble then someone is not brave or not happy. Everyone who is both calm and kind is both funny and not funny and vice versa. If susan is both not patient and humble then mary is not quiet and vice versa.... | Alice is brave. | neutral | ((?[X]:(~quiet(X)))<=>(?[X]:((humble(X)&strong(X)))))&
((?[X]:((creative(X)<~>~humble(X))))=>(?[X]:((~brave(X)|~happy(X)))))&
(![X]:((calm(X)&kind(X))<=>(funny(X)&~funny(X))))&
(((~patient(susan)&humble(susan)))<=>(~quiet(mary)))&
(![X]:((rich(X)&calm(X))<=>(brave(X)<~>~rich(X))))&
((?[X]:((humble(X)&strong(X))))<=>((~... | brave(alice) | [] | null | 0 |
Everyone who is either not generous or not curious is rich.
Everyone who is both funny and strong is brave or not kind.
If fred is either humble or not patient then fred is not generous and vice versa.
If someone is either brave or not generous then lucy is both creative and not calm.
Everyone who is not quiet or not h... | Lucy is not happy. | contradiction | (![X]:((~generous(X)<~>~curious(X))=>rich(X)))&
(![X]:((funny(X)&strong(X))=>(brave(X)|~kind(X))))&
(((humble(fred)<~>~patient(fred)))<=>(~generous(fred)))&
((?[X]:((brave(X)<~>~generous(X))))=>((creative(lucy)&~calm(lucy))))&
(![X]:((~quiet(X)|~happy(X))=>(~rich(X)&happy(X))))&
(![X]:((funny(X)<~>quiet(X))=>(patient(X... | ~happy(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3071220553202440752689219
% SZS output start Proof for 3071220553202440752689219
5. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (happy(X0) & ~rich(X0))) [input p4]
24. ~happy(lucy) [input hypothesis]
29. ! [X0] : ((happy(X0) & ~rich(X0)) | (happy(X0) & quiet(X0))) [ennf transformation 5]
80. h... | 0 |
Everyone who is not patient or strong is not brave and vice versa.
If lucy is either not tall or old then lucy is wise or creative and vice versa.
If someone is both not happy and not brave then paul is either curious or strong.
If john is quiet or not strong then someone is either old or generous.
Everyone who is eith... | Fred is strong. | contradiction | (![X]:((~patient(X)|strong(X))<=>~brave(X)))&
(((~tall(lucy)<~>old(lucy)))<=>((wise(lucy)|creative(lucy))))&
((?[X]:((~happy(X)&~brave(X))))=>((curious(paul)<~>strong(paul))))&
(((quiet(john)|~strong(john)))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:((~tall(X)<~>~rich(X))<=>wise(X)))&
(![X]:((tall(X)<~>~rich(X))<=>(~bra... | strong(fred) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6230832412225222074757857
% SZS output start Proof for 6230832412225222074757857
1. ! [X0] : ((strong(X0) | ~patient(X0)) <=> ~brave(X0)) [input p0]
9. ! [X0] : (strong(X0) => brave(X0)) [input p8]
23. strong(fred) [input hypothesis]
32. ! [X0] : (brave(X0) | ~strong(X0)) [ennf transforma... | 0 |
Everyone who is both rich and not patient is not rich or wise and vice versa.
Everyone who is both not happy and not kind is both kind and not rich.
Everyone who is either happy or not old is not rich and vice versa.
Everyone who is both curious and patient is either brave or not patient and vice versa.
If john is eith... | Lucy is happy. | entailment | (![X]:((rich(X)&~patient(X))<=>(~rich(X)|wise(X))))&
(![X]:((~happy(X)&~kind(X))=>(kind(X)&~rich(X))))&
(![X]:((happy(X)<~>~old(X))<=>~rich(X)))&
(![X]:((curious(X)&patient(X))<=>(brave(X)<~>~patient(X))))&
(((~funny(john)<~>~happy(john)))<=>(?[X]:((~happy(X)<~>brave(X)))))&
(((~humble(mary)&~happy(mary)))=>(?[X]:((~qu... | happy(lucy) | [
"p0",
"p1",
"p2",
"p7",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8722245713626020058760960
% SZS output start Proof for 8722245713626020058760960
1. ! [X0] : ((~patient(X0) & rich(X0)) <=> (wise(X0) | ~rich(X0))) [input p0]
2. ! [X0] : ((~kind(X0) & ~happy(X0)) => (~rich(X0) & kind(X0))) [input p1]
3. ! [X0] : ((happy(X0) <~> ~old(X0)) <=> ~rich(X0)) [... | 0 |
Everyone who is not patient is both wise and not tall and vice versa.
Everyone who is brave is wise or calm.
If paul is not strong or not curious then someone is both wise and old and vice versa.
If someone is not wise or not generous then fred is either generous or curious.
Everyone who is both not funny and tall is w... | Fred is wise. | entailment | (![X]:(~patient(X)<=>(wise(X)&~tall(X))))&
(![X]:(brave(X)=>(wise(X)|calm(X))))&
(((~strong(paul)|~curious(paul)))<=>(?[X]:((wise(X)&old(X)))))&
((?[X]:((~wise(X)|~generous(X))))=>((generous(fred)<~>curious(fred))))&
(![X]:((~funny(X)&tall(X))=>(wise(X)|calm(X))))&
((?[X]:((wise(X)|kind(X))))=>(?[X]:((~generous(X)|~bra... | wise(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8041227311322562533683680
% SZS output start Proof for 8041227311322562533683680
12. ! [X0] : (~curious(X0) <=> (~curious(X0) <~> ~wise(X0))) [input p11]
25. ~wise(fred) [input hypothesis]
66. ! [X0] : ((~curious(X0) | ((~curious(X0) | wise(X0)) & (~wise(X0) | curious(X0)))) & (((wise(X0)... | 0 |
If mary is either quiet or calm then paul is either not strong or generous and vice versa. If someone is both kind and not creative then fred is either not funny or quiet and vice versa. Everyone who is both kind and not wise is both brave and not old and vice versa. If someone is both humble and not strong then someon... | Lucy is curious. | contradiction | (((quiet(mary)<~>calm(mary)))<=>((~strong(paul)<~>generous(paul))))&
((?[X]:((kind(X)&~creative(X))))<=>((~funny(fred)<~>quiet(fred))))&
(![X]:((kind(X)&~wise(X))<=>(brave(X)&~old(X))))&
((?[X]:((humble(X)&~strong(X))))<=>(?[X]:(~kind(X))))&
((~generous(lucy))=>(?[X]:(~generous(X))))&
(![X]:(~calm(X)<=>(~wise(X)<~>~cal... | curious(lucy) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7726604511085105710336516
% SZS output start Proof for 7726604511085105710336516
23. ~curious(lucy) & ~tall(lucy) [input p22]
24. curious(lucy) [input hypothesis]
28. ~curious(lucy) [pure predicate removal 23]
157. ~curious(lucy) [cnf transformation 28]
158. curious(lucy) [cnf transformat... | 0 |
Everyone who is both not patient and rich is creative and vice versa.
If someone is either humble or not kind then susan is both brave and kind.
If someone is wise then someone is not creative.
If someone is not rich then someone is strong or quiet and vice versa.
If someone is both old and not generous then someone is... | Alice is not funny. | contradiction | (![X]:((~patient(X)&rich(X))<=>creative(X)))&
((?[X]:((humble(X)<~>~kind(X))))=>((brave(susan)&kind(susan))))&
((?[X]:(wise(X)))=>(?[X]:(~creative(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((strong(X)|quiet(X)))))&
((?[X]:((old(X)&~generous(X))))=>(?[X]:(curious(X))))&
(![X]:((~funny(X)|quiet(X))<=>(calm(X)&wise(X))))&
(![X]:(... | ~funny(alice) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4301952228139305382941301
% SZS output start Proof for 4301952228139305382941301
21. funny(alice) & brave(alice) [input p20]
25. ~funny(alice) [input hypothesis]
32. funny(alice) [pure predicate removal 21]
124. funny(alice) [cnf transformation 32]
130. ~funny(alice) [cnf transformation 2... | 0 |
Everyone who is generous is not quiet and vice versa.
Everyone who is either not humble or strong is both not tall and not creative and vice versa.
Everyone who is not generous or not funny is not old and vice versa.
Everyone who is both patient and not funny is either tall or not funny and vice versa.
If someone is bo... | Fred is rich. | contradiction | (![X]:(generous(X)<=>~quiet(X)))&
(![X]:((~humble(X)<~>strong(X))<=>(~tall(X)&~creative(X))))&
(![X]:((~generous(X)|~funny(X))<=>~old(X)))&
(![X]:((patient(X)&~funny(X))<=>(tall(X)<~>~funny(X))))&
((?[X]:((calm(X)&~tall(X))))<=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:((strong(X)<~>kind(X))<=>~tall(X)))&
((?[X]:((old(X)<~... | rich(fred) | [
"p8",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4792594644098647886396111
% SZS output start Proof for 4792594644098647886396111
9. ! [X0] : ((~quiet(X0) | wise(X0)) <=> calm(X0)) [input p8]
13. ! [X0] : ((~strong(X0) <~> generous(X0)) => (~calm(X0) & humble(X0))) [input p12]
16. ! [X0] : ((kind(X0) | rich(X0)) <=> wise(X0)) [input p15... | 0 |
If susan is either not funny or not kind then john is calm and vice versa.
Everyone who is not old or not happy is not quiet and vice versa.
Everyone who is not curious or humble is either funny or not funny.
Everyone who is not kind is rich or not calm.
If lucy is both not curious and not tall then paul is either not ... | Alice is not happy. | neutral | (((~funny(susan)<~>~kind(susan)))<=>(calm(john)))&
(![X]:((~old(X)|~happy(X))<=>~quiet(X)))&
(![X]:((~curious(X)|humble(X))=>(funny(X)<~>~funny(X))))&
(![X]:(~kind(X)=>(rich(X)|~calm(X))))&
(((~curious(lucy)&~tall(lucy)))<=>((~rich(paul)<~>rich(paul))))&
(![X]:((rich(X)<~>funny(X))=>(~rich(X)|~kind(X))))&
(((old(fred)&... | ~happy(alice) | [] | null | 0 |
Everyone who is brave or creative is not kind and vice versa.
Everyone who is both not brave and funny is either quiet or patient and vice versa.
Everyone who is either not wise or not quiet is not generous or not curious.
Everyone who is not tall is curious and vice versa.
If fred is either tall or kind then someone i... | Fred is generous. | contradiction | (![X]:((brave(X)|creative(X))<=>~kind(X)))&
(![X]:((~brave(X)&funny(X))<=>(quiet(X)<~>patient(X))))&
(![X]:((~wise(X)<~>~quiet(X))=>(~generous(X)|~curious(X))))&
(![X]:(~tall(X)<=>curious(X)))&
(((tall(fred)<~>kind(fred)))=>(?[X]:((~calm(X)<~>kind(X)))))&
(![X]:((~creative(X)<~>creative(X))<=>(brave(X)|funny(X))))&
(![... | generous(fred) | [
"p0",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2960254251613791527324639
% SZS output start Proof for 2960254251613791527324639
1. ! [X0] : ((creative(X0) | brave(X0)) <=> ~kind(X0)) [input p0]
8. ! [X0] : (~generous(X0) <=> (~happy(X0) | ~creative(X0))) [input p7]
11. ? [X0] : ~kind(X0) <=> ? [X0] : (generous(X0) & ~creative(X0)) [in... | 0 |
Everyone who is not patient is strong. Everyone who is both not curious and not quiet is both patient and not rich and vice versa. If john is not wise then someone is kind. If fred is either not creative or happy then fred is wise or not happy and vice versa. Everyone who is either not humble or wise is rich. If someon... | Lucy is not tall. | contradiction | (![X]:(~patient(X)=>strong(X)))&
(![X]:((~curious(X)&~quiet(X))<=>(patient(X)&~rich(X))))&
((~wise(john))=>(?[X]:(kind(X))))&
(((~creative(fred)<~>happy(fred)))<=>((wise(fred)|~happy(fred))))&
(![X]:((~humble(X)<~>wise(X))=>rich(X)))&
((?[X]:((curious(X)<~>~kind(X))))<=>(?[X]:(~humble(X))))&
(((strong(mary)&~rich(mary)... | ~tall(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2997645625752158426945754
% SZS output start Proof for 2997645625752158426945754
15. ! [X0] : ((wise(X0) <~> ~tall(X0)) <=> wise(X0)) [input p14]
25. ~tall(lucy) [input hypothesis]
71. ! [X0] : ((((tall(X0) | ~wise(X0)) & (~tall(X0) | wise(X0))) | ~wise(X0)) & (wise(X0) | ((wise(X0) | tal... | 0 |
If alice is funny then someone is old.
If mary is both rich and not calm then someone is not tall and vice versa.
Everyone who is curious is quiet or not strong and vice versa.
Everyone who is either tall or not humble is either brave or quiet.
If someone is tall then fred is humble.
If fred is calm or strong then some... | Paul is not patient. | contradiction | ((funny(alice))=>(?[X]:(old(X))))&
(((rich(mary)&~calm(mary)))<=>(?[X]:(~tall(X))))&
(![X]:(curious(X)<=>(quiet(X)|~strong(X))))&
(![X]:((tall(X)<~>~humble(X))=>(brave(X)<~>quiet(X))))&
((?[X]:(tall(X)))=>(humble(fred)))&
(((calm(fred)|strong(fred)))<=>(?[X]:((wise(X)|~strong(X)))))&
(![X]:((curious(X)&rich(X))=>(~calm... | ~patient(paul) | [
"p1",
"p2",
"p6",
"p10",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7953246412311923243240862
% SZS output start Proof for 7953246412311923243240862
2. (~calm(mary) & rich(mary)) <=> ? [X0] : ~tall(X0) [input p1]
3. ! [X0] : (curious(X0) <=> (~strong(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((rich(X0) & curious(X0)) => (~calm(X0) <~> rich(X0))) [input p6]... | 0 |
If john is strong then lucy is curious or not happy and vice versa. Everyone who is tall is humble or generous. If paul is both patient and not generous then alice is both not humble and curious. If someone is either funny or curious then someone is both tall and brave. If someone is not patient or quiet then someone i... | Paul is patient. | neutral | ((strong(john))<=>((curious(lucy)|~happy(lucy))))&
(![X]:(tall(X)=>(humble(X)|generous(X))))&
(((patient(paul)&~generous(paul)))=>((~humble(alice)&curious(alice))))&
((?[X]:((funny(X)<~>curious(X))))=>(?[X]:((tall(X)&brave(X)))))&
((?[X]:((~patient(X)|quiet(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((~wise(X)&... | patient(paul) | [] | null | 0 |
If fred is not patient or not old then someone is either tall or humble and vice versa. Everyone who is either funny or not kind is both not tall and not creative and vice versa. If lucy is not old then someone is either not old or not brave. Everyone who is both kind and not kind is not kind. If someone is curious the... | Susan is not funny. | contradiction | (((~patient(fred)|~old(fred)))<=>(?[X]:((tall(X)<~>humble(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(~tall(X)&~creative(X))))&
((~old(lucy))=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((kind(X)&~kind(X))=>~kind(X)))&
((?[X]:(curious(X)))<=>((creative(susan)&~kind(susan))))&
(![X]:(creative(X)=>(quiet(X)&calm(X))))&
(((~patie... | ~funny(susan) | [
"p1",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 354499414128854486277395
% SZS output start Proof for 354499414128854486277395
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~creative(X0) & ~tall(X0))) [input p1]
5. ? [X0] : curious(X0) <=> (~kind(susan) & creative(susan)) [input p4]
17. curious(lucy) & happy(lucy) [input p16]
25. ~funny(... | 0 |
Everyone who is kind or not happy is either not kind or not old.
If someone is either humble or not creative then someone is brave or humble.
If lucy is not quiet then mary is not generous and vice versa.
Everyone who is either rich or old is either not generous or not happy and vice versa.
If mary is either quiet or h... | Susan is not rich. | neutral | (![X]:((kind(X)|~happy(X))=>(~kind(X)<~>~old(X))))&
((?[X]:((humble(X)<~>~creative(X))))=>(?[X]:((brave(X)|humble(X)))))&
((~quiet(lucy))<=>(~generous(mary)))&
(![X]:((rich(X)<~>old(X))<=>(~generous(X)<~>~happy(X))))&
(((quiet(mary)<~>humble(mary)))<=>((happy(fred)|~strong(fred))))&
(![X]:(~old(X)<=>(~creative(X)&patie... | ~rich(susan) | [] | null | 0 |
Everyone who is creative or wise is not old and vice versa. If fred is not brave or not happy then lucy is rich and vice versa. Everyone who is kind or not brave is humble. If someone is both wise and funny then someone is not old or not strong. Everyone who is quiet or not brave is creative or not calm. Everyone who i... | Susan is tall. | neutral | (![X]:((creative(X)|wise(X))<=>~old(X)))&
(((~brave(fred)|~happy(fred)))<=>(rich(lucy)))&
(![X]:((kind(X)|~brave(X))=>humble(X)))&
((?[X]:((wise(X)&funny(X))))=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:((quiet(X)|~brave(X))=>(creative(X)|~calm(X))))&
(![X]:((~calm(X)|rich(X))=>(~tall(X)|generous(X))))&
((?[X]:(~happy(X)))... | tall(susan) | [] | null | 0 |
If someone is curious or not funny then fred is not rich.
Everyone who is either not brave or old is either not funny or not tall and vice versa.
If alice is both not kind and not funny then someone is either not quiet or not humble.
If lucy is not generous then paul is either not funny or not rich and vice versa.
Ever... | Fred is not quiet. | entailment | ((?[X]:((curious(X)|~funny(X))))=>(~rich(fred)))&
(![X]:((~brave(X)<~>old(X))<=>(~funny(X)<~>~tall(X))))&
(((~kind(alice)&~funny(alice)))=>(?[X]:((~quiet(X)<~>~humble(X)))))&
((~generous(lucy))<=>((~funny(paul)<~>~rich(paul))))&
(![X]:((~old(X)&~curious(X))<=>(~rich(X)|generous(X))))&
(![X]:((~old(X)&~curious(X))=>(~ki... | ~quiet(fred) | [
"p0",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 352407026161297014968244
% SZS output start Proof for 352407026161297014968244
1. ? [X0] : (~funny(X0) | curious(X0)) => ~rich(fred) [input p0]
5. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (generous(X0) | ~rich(X0))) [input p4]
9. ! [X0] : ((quiet(X0) | tall(X0)) <=> curious(X0)) [input p8]... | 0 |
Everyone who is either happy or not wise is either tall or rich. If someone is rich then someone is both not quiet and not brave. Everyone who is strong is both not rich and not calm. If alice is either curious or happy then someone is not quiet. Everyone who is both not brave and rich is both patient and rich and vice... | Fred is wise. | neutral | (![X]:((happy(X)<~>~wise(X))=>(tall(X)<~>rich(X))))&
((?[X]:(rich(X)))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:(strong(X)=>(~rich(X)&~calm(X))))&
(((curious(alice)<~>happy(alice)))=>(?[X]:(~quiet(X))))&
(![X]:((~brave(X)&rich(X))<=>(patient(X)&rich(X))))&
(![X]:((~calm(X)<~>brave(X))<=>(tall(X)&~rich(X))))&
(![X]:((~ge... | wise(fred) | [] | null | 0 |
If mary is not generous or not quiet then someone is either old or patient and vice versa.
If someone is old or not curious then someone is calm.
Everyone who is tall or patient is both not curious and not calm.
If mary is either not kind or happy then susan is not quiet.
Everyone who is either funny or not patient is ... | Alice is creative. | entailment | (((~generous(mary)|~quiet(mary)))<=>(?[X]:((old(X)<~>patient(X)))))&
((?[X]:((old(X)|~curious(X))))=>(?[X]:(calm(X))))&
(![X]:((tall(X)|patient(X))=>(~curious(X)&~calm(X))))&
(((~kind(mary)<~>happy(mary)))=>(~quiet(susan)))&
(![X]:((funny(X)<~>~patient(X))<=>(~quiet(X)|strong(X))))&
(![X]:((happy(X)|strong(X))<=>(brave... | creative(alice) | [
"p1",
"p2",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8108725291562434356703252
% SZS output start Proof for 8108725291562434356703252
2. ? [X0] : (~curious(X0) | old(X0)) => ? [X0] : calm(X0) [input p1]
3. ! [X0] : ((patient(X0) | tall(X0)) => (~calm(X0) & ~curious(X0))) [input p2]
9. ! [X0] : ((curious(X0) | ~creative(X0)) => (~funny(X0) |... | 0 |
Everyone who is either generous or wise is either not patient or kind.
Everyone who is both not wise and not strong is not generous.
If susan is wise then mary is both curious and not creative and vice versa.
Everyone who is tall is both strong and not curious and vice versa.
Everyone who is strong is wise and vice ver... | John is brave. | entailment | (![X]:((generous(X)<~>wise(X))=>(~patient(X)<~>kind(X))))&
(![X]:((~wise(X)&~strong(X))=>~generous(X)))&
((wise(susan))<=>((curious(mary)&~creative(mary))))&
(![X]:(tall(X)<=>(strong(X)&~curious(X))))&
(![X]:(strong(X)<=>wise(X)))&
(![X]:((kind(X)|~brave(X))=>(~generous(X)|brave(X))))&
((?[X]:((funny(X)<~>creative(X)))... | brave(john) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6617807934024500783393679
% SZS output start Proof for 6617807934024500783393679
6. ! [X0] : ((~brave(X0) | kind(X0)) => (brave(X0) | ~generous(X0))) [input p5]
22. generous(john) [input p21]
23. ~brave(john) [input hypothesis]
30. ! [X0] : ((brave(X0) | ~generous(X0)) | (brave(X0) & ~kin... | 0 |
Everyone who is not wise is creative and vice versa.
Everyone who is both not happy and not kind is not creative or rich.
Everyone who is either not kind or humble is old.
If alice is either not brave or not calm then someone is not humble and vice versa.
If susan is either kind or calm then someone is happy and vice v... | Alice is not funny. | neutral | (![X]:(~wise(X)<=>creative(X)))&
(![X]:((~happy(X)&~kind(X))=>(~creative(X)|rich(X))))&
(![X]:((~kind(X)<~>humble(X))=>old(X)))&
(((~brave(alice)<~>~calm(alice)))<=>(?[X]:(~humble(X))))&
(((kind(susan)<~>calm(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~happy(X)&kind(X))<=>(~humble(X)|~wise(X))))&
((?[X]:((~strong(X)|~patie... | ~funny(alice) | [] | null | 0 |
Everyone who is either old or curious is humble. Everyone who is either humble or creative is creative and vice versa. Everyone who is not old is rich. If someone is either curious or tall then john is either rich or kind. Everyone who is not quiet or not tall is both old and wise and vice versa. Everyone who is both n... | Mary is not patient. | contradiction | (![X]:((old(X)<~>curious(X))=>humble(X)))&
(![X]:((humble(X)<~>creative(X))<=>creative(X)))&
(![X]:(~old(X)=>rich(X)))&
((?[X]:((curious(X)<~>tall(X))))=>((rich(john)<~>kind(john))))&
(![X]:((~quiet(X)|~tall(X))<=>(old(X)&wise(X))))&
(![X]:((~brave(X)&old(X))<=>~humble(X)))&
(![X]:((old(X)&brave(X))=>(funny(X)|~strong(... | ~patient(mary) | [
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6019273575908488218641536
% SZS output start Proof for 6019273575908488218641536
10. ! [X0] : (~kind(X0) <=> (~patient(X0) | ~creative(X0))) [input p9]
17. rich(mary) & kind(mary) [input p16]
25. ~patient(mary) [input hypothesis]
48. ! [X0] : ((~kind(X0) | (patient(X0) & creative(X0))) & ... | 0 |
Everyone who is not calm is humble and vice versa.
Everyone who is either not happy or not quiet is not wise.
Everyone who is tall or not patient is curious or generous.
If john is not generous then john is both not quiet and old and vice versa.
If paul is both humble and strong then susan is not rich.
If paul is eithe... | Fred is not kind. | neutral | (![X]:(~calm(X)<=>humble(X)))&
(![X]:((~happy(X)<~>~quiet(X))=>~wise(X)))&
(![X]:((tall(X)|~patient(X))=>(curious(X)|generous(X))))&
((~generous(john))<=>((~quiet(john)&old(john))))&
(((humble(paul)&strong(paul)))=>(~rich(susan)))&
(((rich(paul)<~>strong(paul)))=>((creative(lucy)|generous(lucy))))&
(![X]:(~quiet(X)<=>~... | ~kind(fred) | [] | null | 0 |
Everyone who is both not tall and not strong is not strong. If john is either calm or not calm then paul is tall or brave and vice versa. If lucy is not patient then someone is strong and vice versa. If lucy is not quiet then john is creative and vice versa. Everyone who is either not generous or not wise is kind or no... | Fred is not creative. | contradiction | (![X]:((~tall(X)&~strong(X))=>~strong(X)))&
(((calm(john)<~>~calm(john)))<=>((tall(paul)|brave(paul))))&
((~patient(lucy))<=>(?[X]:(strong(X))))&
((~quiet(lucy))<=>(creative(john)))&
(![X]:((~generous(X)<~>~wise(X))<=>(kind(X)|~quiet(X))))&
((?[X]:((strong(X)|kind(X))))=>(curious(fred)))&
(![X]:((tall(X)<~>humble(X))=>... | ~creative(fred) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6656284809548790491398567
% SZS output start Proof for 6656284809548790491398567
16. ! [X0] : (~creative(X0) <=> (~patient(X0) & ~funny(X0))) [input p15]
19. ~curious(fred) & funny(fred) [input p18]
24. ~creative(fred) [input hypothesis]
64. ! [X0] : ((~creative(X0) | (patient(X0) | funny... | 0 |
If someone is strong then susan is humble or not quiet and vice versa.
Everyone who is not brave or generous is curious.
If someone is both not creative and kind then someone is not generous.
Everyone who is not rich or tall is not patient or curious.
If someone is calm then john is old and vice versa.
If susan is curi... | Alice is not wise. | contradiction | ((?[X]:(strong(X)))<=>((humble(susan)|~quiet(susan))))&
(![X]:((~brave(X)|generous(X))=>curious(X)))&
((?[X]:((~creative(X)&kind(X))))=>(?[X]:(~generous(X))))&
(![X]:((~rich(X)|tall(X))=>(~patient(X)|curious(X))))&
((?[X]:(calm(X)))<=>(old(john)))&
(((curious(susan)|generous(susan)))<=>(creative(alice)))&
(![X]:((funny... | ~wise(alice) | [
"p3",
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7499661461829875423942475
% SZS output start Proof for 7499661461829875423942475
4. ! [X0] : ((tall(X0) | ~rich(X0)) => (curious(X0) | ~patient(X0))) [input p3]
6. (generous(susan) | curious(susan)) <=> creative(alice) [input p5]
8. ! [X0] : ((~rich(X0) & creative(X0)) <=> (wise(X0) & hum... | 0 |
If someone is rich then fred is both not funny and strong and vice versa.
Everyone who is funny or not brave is tall or not humble.
Everyone who is both not tall and tall is both not patient and not happy and vice versa.
Everyone who is both kind and not strong is funny.
Everyone who is both wise and not patient is eit... | Fred is not creative. | entailment | ((?[X]:(rich(X)))<=>((~funny(fred)&strong(fred))))&
(![X]:((funny(X)|~brave(X))=>(tall(X)|~humble(X))))&
(![X]:((~tall(X)&tall(X))<=>(~patient(X)&~happy(X))))&
(![X]:((kind(X)&~strong(X))=>funny(X)))&
(![X]:((wise(X)&~patient(X))<=>(wise(X)<~>~rich(X))))&
(![X]:((strong(X)&creative(X))<=>(~generous(X)&old(X))))&
(![X]:... | ~creative(fred) | [
"p0",
"p4",
"p5",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5960520705516889755463741
% SZS output start Proof for 5960520705516889755463741
1. ? [X0] : rich(X0) <=> (strong(fred) & ~funny(fred)) [input p0]
5. ! [X0] : ((~patient(X0) & wise(X0)) <=> (wise(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((creative(X0) & strong(X0)) <=> (old(X0) & ~gener... | 0 |
If lucy is not brave or humble then fred is not brave and vice versa. Everyone who is brave or wise is old. If someone is funny then someone is both quiet and not calm and vice versa. If susan is both wise and brave then someone is old or generous and vice versa. If someone is not brave or funny then fred is not old or... | Lucy is not happy. | contradiction | (((~brave(lucy)|humble(lucy)))<=>(~brave(fred)))&
(![X]:((brave(X)|wise(X))=>old(X)))&
((?[X]:(funny(X)))<=>(?[X]:((quiet(X)&~calm(X)))))&
(((wise(susan)&brave(susan)))<=>(?[X]:((old(X)|generous(X)))))&
((?[X]:((~brave(X)|funny(X))))=>((~old(fred)|~calm(fred))))&
(![X]:(~humble(X)<=>(~rich(X)&strong(X))))&
(![X]:((crea... | ~happy(lucy) | [
"p3",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2158680285918245943749723
% SZS output start Proof for 2158680285918245943749723
4. (brave(susan) & wise(susan)) <=> ? [X0] : (generous(X0) | old(X0)) [input p3]
9. ! [X0] : (brave(X0) => (~happy(X0) & ~brave(X0))) [input p8]
12. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> (old(X0) & patien... | 0 |
Everyone who is either patient or not strong is kind or not patient and vice versa.
Everyone who is quiet or patient is both curious and generous and vice versa.
Everyone who is not curious or not happy is happy.
Everyone who is both not funny and not humble is both humble and strong.
If john is both kind and brave the... | Mary is old. | contradiction | (![X]:((patient(X)<~>~strong(X))<=>(kind(X)|~patient(X))))&
(![X]:((quiet(X)|patient(X))<=>(curious(X)&generous(X))))&
(![X]:((~curious(X)|~happy(X))=>happy(X)))&
(![X]:((~funny(X)&~humble(X))=>(humble(X)&strong(X))))&
(((kind(john)&brave(john)))<=>(?[X]:((brave(X)|~quiet(X)))))&
(![X]:((~wise(X)&old(X))=>(calm(X)&rich... | old(mary) | [
"p0",
"p1",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1398607084266061547556895
% SZS output start Proof for 1398607084266061547556895
1. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (~patient(X0) | kind(X0))) [input p0]
2. ! [X0] : ((patient(X0) | quiet(X0)) <=> (generous(X0) & curious(X0))) [input p1]
8. ! [X0] : ((kind(X0) & strong(X0)) <=... | 0 |
Everyone who is not strong is both not rich and not old.
Everyone who is strong is not strong or brave and vice versa.
Everyone who is either funny or creative is not calm or brave and vice versa.
Everyone who is both not tall and not brave is either not quiet or generous and vice versa.
If alice is not rich then someo... | Fred is not strong. | contradiction | (![X]:(~strong(X)=>(~rich(X)&~old(X))))&
(![X]:(strong(X)<=>(~strong(X)|brave(X))))&
(![X]:((funny(X)<~>creative(X))<=>(~calm(X)|brave(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~quiet(X)<~>generous(X))))&
((~rich(alice))=>(?[X]:((brave(X)|creative(X)))))&
(![X]:((~kind(X)|tall(X))=>(tall(X)&funny(X))))&
(![X]:((rich(X)|~hu... | ~strong(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4366539860972914583396027
% SZS output start Proof for 4366539860972914583396027
2. ! [X0] : (strong(X0) <=> (brave(X0) | ~strong(X0))) [input p1]
25. ~strong(fred) [input hypothesis]
34. ! [X0] : ((strong(X0) | (~brave(X0) & strong(X0))) & ((brave(X0) | ~strong(X0)) | ~strong(X0))) [nnf ... | 0 |
Everyone who is old or wise is curious and vice versa.
Everyone who is calm or not curious is not old.
Everyone who is generous or humble is kind or funny and vice versa.
If someone is both not brave and creative then alice is either brave or generous.
If someone is both not humble and not happy then lucy is not tall o... | Mary is creative. | neutral | (![X]:((old(X)|wise(X))<=>curious(X)))&
(![X]:((calm(X)|~curious(X))=>~old(X)))&
(![X]:((generous(X)|humble(X))<=>(kind(X)|funny(X))))&
((?[X]:((~brave(X)&creative(X))))=>((brave(alice)<~>generous(alice))))&
((?[X]:((~humble(X)&~happy(X))))<=>((~tall(lucy)|kind(lucy))))&
((?[X]:((~creative(X)|calm(X))))=>(?[X]:((tall(X... | creative(mary) | [] | null | 0 |
Everyone who is both kind and funny is not funny or not tall and vice versa.
If someone is both calm and funny then someone is both old and kind and vice versa.
If paul is both generous and kind then someone is both calm and creative and vice versa.
If someone is either rich or not kind then lucy is both not wise and f... | Fred is calm. | contradiction | (![X]:((kind(X)&funny(X))<=>(~funny(X)|~tall(X))))&
((?[X]:((calm(X)&funny(X))))<=>(?[X]:((old(X)&kind(X)))))&
(((generous(paul)&kind(paul)))<=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((rich(X)<~>~kind(X))))=>((~wise(lucy)&funny(lucy))))&
((~humble(fred))<=>((~generous(mary)&~curious(mary))))&
(![X]:(patient(X)=>(~rich... | calm(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4828228059987278630460709
% SZS output start Proof for 4828228059987278630460709
20. ~curious(fred) & ~calm(fred) [input p19]
24. calm(fred) [input hypothesis]
136. ~calm(fred) [cnf transformation 20]
141. calm(fred) [cnf transformation 24]
291. $false [subsumption resolution 141,136]
% S... | 0 |
If alice is either not brave or not quiet then john is both not generous and not wise and vice versa.
Everyone who is quiet is humble.
If fred is both not happy and not quiet then john is either brave or quiet.
If someone is not calm or rich then someone is both not quiet and not rich.
Everyone who is either generous o... | Paul is patient. | contradiction | (((~brave(alice)<~>~quiet(alice)))<=>((~generous(john)&~wise(john))))&
(![X]:(quiet(X)=>humble(X)))&
(((~happy(fred)&~quiet(fred)))=>((brave(john)<~>quiet(john))))&
((?[X]:((~calm(X)|rich(X))))=>(?[X]:((~quiet(X)&~rich(X)))))&
(![X]:((generous(X)<~>strong(X))<=>(~wise(X)|calm(X))))&
(![X]:(quiet(X)=>(brave(X)|creative(... | patient(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2837662766548896567502735
% SZS output start Proof for 2837662766548896567502735
18. brave(paul) & ~patient(paul) [input p17]
25. patient(paul) [input hypothesis]
118. ~patient(paul) [cnf transformation 18]
131. patient(paul) [cnf transformation 25]
279. $false [subsumption resolution 131... | 0 |
If someone is either not rich or kind then paul is humble.
Everyone who is either not tall or old is generous.
If fred is curious or humble then susan is either not wise or brave.
If alice is both wise and not brave then alice is either generous or quiet and vice versa.
If alice is either not quiet or not brave then so... | Fred is not strong. | contradiction | ((?[X]:((~rich(X)<~>kind(X))))=>(humble(paul)))&
(![X]:((~tall(X)<~>old(X))=>generous(X)))&
(((curious(fred)|humble(fred)))=>((~wise(susan)<~>brave(susan))))&
(((wise(alice)&~brave(alice)))<=>((generous(alice)<~>quiet(alice))))&
(((~quiet(alice)<~>~brave(alice)))=>(?[X]:((~tall(X)<~>curious(X)))))&
(![X]:((~humble(X)<~... | ~strong(fred) | [
"p1",
"p5",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8108530672835790159125095
% SZS output start Proof for 8108530672835790159125095
2. ! [X0] : ((~tall(X0) <~> old(X0)) => generous(X0)) [input p1]
6. ! [X0] : ((~humble(X0) <~> old(X0)) => (~old(X0) | strong(X0))) [input p5]
13. ! [X0] : ((happy(X0) | tall(X0)) <=> (curious(X0) & ~curious(... | 0 |
If susan is either old or not brave then susan is quiet and vice versa. Everyone who is either not old or not quiet is not kind. Everyone who is both kind and old is both not strong and brave. If alice is both funny and not funny then mary is both not wise and not calm. Everyone who is both not calm and not brave is ki... | Fred is not wise. | contradiction | (((old(susan)<~>~brave(susan)))<=>(quiet(susan)))&
(![X]:((~old(X)<~>~quiet(X))=>~kind(X)))&
(![X]:((kind(X)&old(X))=>(~strong(X)&brave(X))))&
(((funny(alice)&~funny(alice)))=>((~wise(mary)&~calm(mary))))&
(![X]:((~calm(X)&~brave(X))<=>kind(X)))&
(((~old(fred)|~quiet(fred)))<=>((~calm(lucy)<~>brave(lucy))))&
((?[X]:((c... | ~wise(fred) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6060022588345141502905136
% SZS output start Proof for 6060022588345141502905136
5. ! [X0] : ((~brave(X0) & ~calm(X0)) <=> kind(X0)) [input p4]
12. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> (calm(X0) & wise(X0))) [input p11]
14. ! [X0] : ((~calm(X0) | ~creative(X0)) <=> (creative(X0) & ~kind(... | 0 |
Everyone who is not happy is both not wise and quiet and vice versa. If alice is both generous and not humble then fred is both humble and not happy and vice versa. If someone is creative or happy then someone is strong and vice versa. If someone is both not generous and humble then susan is either not wise or not curi... | Mary is quiet. | neutral | (![X]:(~happy(X)<=>(~wise(X)&quiet(X))))&
(((generous(alice)&~humble(alice)))<=>((humble(fred)&~happy(fred))))&
((?[X]:((creative(X)|happy(X))))<=>(?[X]:(strong(X))))&
((?[X]:((~generous(X)&humble(X))))<=>((~wise(susan)<~>~curious(susan))))&
((?[X]:(~patient(X)))=>(~calm(mary)))&
(((calm(mary)|humble(mary)))<=>((wise(f... | quiet(mary) | [] | null | 0 |
Everyone who is either not patient or not funny is both not humble and wise.
If lucy is not patient or old then someone is both not curious and not rich.
Everyone who is old or not old is both calm and rich and vice versa.
Everyone who is calm or not creative is tall and vice versa.
Everyone who is patient or creative ... | Lucy is not happy. | neutral | (![X]:((~patient(X)<~>~funny(X))=>(~humble(X)&wise(X))))&
(((~patient(lucy)|old(lucy)))=>(?[X]:((~curious(X)&~rich(X)))))&
(![X]:((old(X)|~old(X))<=>(calm(X)&rich(X))))&
(![X]:((calm(X)|~creative(X))<=>tall(X)))&
(![X]:((patient(X)|creative(X))=>~brave(X)))&
(((~kind(susan)<~>old(susan)))<=>((rich(lucy)|kind(lucy))))&
... | ~happy(lucy) | [] | null | 0 |
If john is not quiet then alice is not patient and vice versa.
Everyone who is both not kind and not generous is happy.
If someone is not funny then lucy is both rich and not creative.
If lucy is not creative or rich then alice is not tall and vice versa.
If someone is both not kind and wise then susan is either creati... | Fred is not funny. | neutral | ((~quiet(john))<=>(~patient(alice)))&
(![X]:((~kind(X)&~generous(X))=>happy(X)))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~kind(X)&wise(X))))=>((creative(susan)<~>~kind(susan))))&
(![X]:((kind(X)&funny(X))<=>generous(X)))&
((?[X]:((~tall(X)<~>~wi... | ~funny(fred) | [] | null | 0 |
Everyone who is wise is both not wise and creative and vice versa.
If susan is kind then john is both tall and wise and vice versa.
Everyone who is wise is tall or wise.
Everyone who is not patient is generous or not curious and vice versa.
If lucy is either rich or not happy then someone is both creative and not old a... | Lucy is not curious. | contradiction | (![X]:(wise(X)<=>(~wise(X)&creative(X))))&
((kind(susan))<=>((tall(john)&wise(john))))&
(![X]:(wise(X)=>(tall(X)|wise(X))))&
(![X]:(~patient(X)<=>(generous(X)|~curious(X))))&
(((rich(lucy)<~>~happy(lucy)))<=>(?[X]:((creative(X)&~old(X)))))&
(![X]:(patient(X)<=>(brave(X)|~funny(X))))&
(![X]:((~brave(X)<~>~patient(X))=>(... | ~curious(lucy) | [
"p0",
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6678008230890017988878166
% SZS output start Proof for 6678008230890017988878166
1. ! [X0] : (wise(X0) <=> (creative(X0) & ~wise(X0))) [input p0]
4. ! [X0] : (~patient(X0) <=> (~curious(X0) | generous(X0))) [input p3]
8. ? [X0] : (happy(X0) <~> ~creative(X0)) <=> (~rich(john) & patient(jo... | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Fred is strong. | entailment | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | strong(fred) | [
"p1",
"p8",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6719124503528640409246737
% SZS output start Proof for 6719124503528640409246737
2. ! [X0] : ((~humble(X0) <~> strong(X0)) => happy(X0)) [input p1]
9. ? [X0] : (generous(X0) | calm(X0)) => ? [X0] : ~old(X0) [input p8]
14. ! [X0] : ((~calm(X0) & humble(X0)) => (kind(X0) & happy(X0))) [inpu... | 0 |
If someone is either not calm or not generous then someone is curious and vice versa.
If someone is strong then someone is both not tall and creative and vice versa.
Everyone who is both old and kind is not wise and vice versa.
Everyone who is wise is either calm or not creative.
Everyone who is old is either not tall ... | John is not curious. | entailment | ((?[X]:((~calm(X)<~>~generous(X))))<=>(?[X]:(curious(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~tall(X)&creative(X)))))&
(![X]:((old(X)&kind(X))<=>~wise(X)))&
(![X]:(wise(X)=>(calm(X)<~>~creative(X))))&
(![X]:(old(X)=>(~tall(X)<~>~brave(X))))&
(![X]:((~quiet(X)&humble(X))=>funny(X)))&
(![X]:((patient(X)|~rich(X))=>(tall(X)|... | ~curious(john) | [
"p0",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6931651575696726243317766
% SZS output start Proof for 6931651575696726243317766
1. ? [X0] : (~calm(X0) <~> ~generous(X0)) <=> ? [X0] : curious(X0) [input p0]
5. ! [X0] : (old(X0) => (~tall(X0) <~> ~brave(X0))) [input p4]
8. ! [X0] : (~old(X0) => ~curious(X0)) [input p7]
11. ! [X0] : (qui... | 0 |
If john is both humble and happy then someone is both old and brave and vice versa. If mary is both not humble and generous then someone is strong or not old. Everyone who is not calm is either curious or not patient. If john is both not calm and brave then someone is not kind. Everyone who is either curious or generou... | Alice is happy. | entailment | (((humble(john)&happy(john)))<=>(?[X]:((old(X)&brave(X)))))&
(((~humble(mary)&generous(mary)))=>(?[X]:((strong(X)|~old(X)))))&
(![X]:(~calm(X)=>(curious(X)<~>~patient(X))))&
(((~calm(john)&brave(john)))=>(?[X]:(~kind(X))))&
(![X]:((curious(X)<~>generous(X))=>~strong(X)))&
(![X]:((strong(X)<~>~curious(X))<=>(happy(X)&ol... | happy(alice) | [
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3148986724127963512253469
% SZS output start Proof for 3148986724127963512253469
5. ! [X0] : ((curious(X0) <~> generous(X0)) => ~strong(X0)) [input p4]
6. ! [X0] : ((strong(X0) <~> ~curious(X0)) <=> (old(X0) & happy(X0))) [input p5]
9. ! [X0] : (~generous(X0) <=> (~strong(X0) & ~rich(X0))... | 0 |
Everyone who is patient or kind is either not patient or generous and vice versa.
Everyone who is not humble is curious or creative and vice versa.
If mary is both not wise and generous then susan is not kind.
Everyone who is not wise or kind is not humble and vice versa.
Everyone who is either curious or not generous ... | Mary is not happy. | neutral | (![X]:((patient(X)|kind(X))<=>(~patient(X)<~>generous(X))))&
(![X]:(~humble(X)<=>(curious(X)|creative(X))))&
(((~wise(mary)&generous(mary)))=>(~kind(susan)))&
(![X]:((~wise(X)|kind(X))<=>~humble(X)))&
(![X]:((curious(X)<~>~generous(X))=>~tall(X)))&
(![X]:((wise(X)&~happy(X))=>~funny(X)))&
(![X]:((patient(X)&~funny(X))=... | ~happy(mary) | [] | null | 0 |
Everyone who is not creative or kind is both not happy and creative and vice versa.
Everyone who is both patient and rich is not kind and vice versa.
Everyone who is not curious or patient is both funny and tall and vice versa.
If someone is not patient then john is strong or not old.
Everyone who is not humble or not ... | John is not patient. | entailment | (![X]:((~creative(X)|kind(X))<=>(~happy(X)&creative(X))))&
(![X]:((patient(X)&rich(X))<=>~kind(X)))&
(![X]:((~curious(X)|patient(X))<=>(funny(X)&tall(X))))&
((?[X]:(~patient(X)))=>((strong(john)|~old(john))))&
(![X]:((~humble(X)|~quiet(X))<=>~creative(X)))&
((funny(paul))=>(~happy(john)))&
(((strong(paul)|wise(paul)))<... | ~patient(john) | [
"p0",
"p1",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8206946359462930487817862
% SZS output start Proof for 8206946359462930487817862
1. ! [X0] : ((kind(X0) | ~creative(X0)) <=> (creative(X0) & ~happy(X0))) [input p0]
2. ! [X0] : ((rich(X0) & patient(X0)) <=> ~kind(X0)) [input p1]
5. ! [X0] : ((~quiet(X0) | ~humble(X0)) <=> ~creative(X0)) [... | 0 |
Everyone who is both not strong and wise is strong and vice versa. Everyone who is not strong is not patient. If alice is either kind or creative then someone is either not wise or creative. If someone is both brave and not creative then mary is not quiet or not generous. Everyone who is curious or not quiet is either ... | Susan is not strong. | entailment | (![X]:((~strong(X)&wise(X))<=>strong(X)))&
(![X]:(~strong(X)=>~patient(X)))&
(((kind(alice)<~>creative(alice)))=>(?[X]:((~wise(X)<~>creative(X)))))&
((?[X]:((brave(X)&~creative(X))))=>((~quiet(mary)|~generous(mary))))&
(![X]:((curious(X)|~quiet(X))=>(tall(X)<~>~curious(X))))&
((patient(alice))<=>(?[X]:(~brave(X))))&
((... | ~strong(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4795422174855158172416359
% SZS output start Proof for 4795422174855158172416359
1. ! [X0] : ((wise(X0) & ~strong(X0)) <=> strong(X0)) [input p0]
23. strong(susan) [input hypothesis]
34. ! [X0] : (((wise(X0) & ~strong(X0)) | ~strong(X0)) & (strong(X0) | (~wise(X0) | strong(X0)))) [nnf tra... | 0 |
Everyone who is both happy and strong is calm or not humble. Everyone who is happy or generous is either not strong or kind and vice versa. If lucy is happy or quiet then someone is not patient or wise and vice versa. Everyone who is not patient is either not strong or not calm and vice versa. Everyone who is not brave... | Lucy is kind. | neutral | (![X]:((happy(X)&strong(X))=>(calm(X)|~humble(X))))&
(![X]:((happy(X)|generous(X))<=>(~strong(X)<~>kind(X))))&
(((happy(lucy)|quiet(lucy)))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:(~patient(X)<=>(~strong(X)<~>~calm(X))))&
(![X]:((~brave(X)|~tall(X))=>(humble(X)|wise(X))))&
(((~creative(alice)<~>strong(alice)))=>(?[X]:... | kind(lucy) | [] | null | 0 |
If someone is either tall or creative then john is not calm or old.
If someone is tall then paul is not happy.
If mary is either old or kind then someone is quiet or not calm and vice versa.
Everyone who is wise or not tall is not strong and vice versa.
Everyone who is both kind and generous is both not calm and not ta... | Fred is patient. | contradiction | ((?[X]:((tall(X)<~>creative(X))))=>((~calm(john)|old(john))))&
((?[X]:(tall(X)))=>(~happy(paul)))&
(((old(mary)<~>kind(mary)))<=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:((wise(X)|~tall(X))<=>~strong(X)))&
(![X]:((kind(X)&generous(X))<=>(~calm(X)&~tall(X))))&
(![X]:((quiet(X)|wise(X))<=>(~humble(X)<~>rich(X))))&
(((~genero... | patient(fred) | [
"p3",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 312108372194815722735970
% SZS output start Proof for 312108372194815722735970
4. ! [X0] : ((~tall(X0) | wise(X0)) <=> ~strong(X0)) [input p3]
8. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (humble(X0) & tall(X0))) [input p7]
9. ! [X0] : ((~tall(X0) & creative(X0)) <=> (funny(X0) | ~wise(X0)))... | 0 |
If someone is creative then fred is both happy and not patient and vice versa.
Everyone who is wise is either not happy or not patient and vice versa.
Everyone who is not patient or strong is both tall and not curious and vice versa.
Everyone who is both kind and old is either curious or quiet and vice versa.
If fred i... | Fred is not generous. | neutral | ((?[X]:(creative(X)))<=>((happy(fred)&~patient(fred))))&
(![X]:(wise(X)<=>(~happy(X)<~>~patient(X))))&
(![X]:((~patient(X)|strong(X))<=>(tall(X)&~curious(X))))&
(![X]:((kind(X)&old(X))<=>(curious(X)<~>quiet(X))))&
(((happy(fred)&funny(fred)))<=>(?[X]:((brave(X)<~>patient(X)))))&
(![X]:((kind(X)<~>curious(X))<=>(creativ... | ~generous(fred) | [] | null | 0 |
If paul is either old or not kind then someone is both not brave and not strong and vice versa.
Everyone who is kind or not kind is not curious or not humble.
If mary is either quiet or wise then someone is both not brave and tall and vice versa.
Everyone who is either quiet or tall is either old or not humble.
Everyon... | John is not calm. | entailment | (((old(paul)<~>~kind(paul)))<=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:((kind(X)|~kind(X))=>(~curious(X)|~humble(X))))&
(((quiet(mary)<~>wise(mary)))<=>(?[X]:((~brave(X)&tall(X)))))&
(![X]:((quiet(X)<~>tall(X))=>(old(X)<~>~humble(X))))&
(![X]:((~strong(X)&kind(X))<=>(funny(X)&~curious(X))))&
(![X]:((patient(X)&~funny(X... | ~calm(john) | [
"p1",
"p8",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 417396647612610379655950
% SZS output start Proof for 417396647612610379655950
2. ! [X0] : ((~kind(X0) | kind(X0)) => (~humble(X0) | ~curious(X0))) [input p1]
9. (quiet(fred) | ~patient(fred)) <=> ~calm(john) [input p8]
11. ! [X0] : ((wise(X0) | ~humble(X0)) => (humble(X0) <~> ~strong(X0)... | 0 |
If john is not kind or not brave then someone is kind and vice versa. Everyone who is not rich is brave or not happy and vice versa. If someone is both not brave and not generous then mary is not old or patient and vice versa. Everyone who is both not rich and not humble is either brave or not creative and vice versa. ... | Alice is not kind. | contradiction | (((~kind(john)|~brave(john)))<=>(?[X]:(kind(X))))&
(![X]:(~rich(X)<=>(brave(X)|~happy(X))))&
((?[X]:((~brave(X)&~generous(X))))<=>((~old(mary)|patient(mary))))&
(![X]:((~rich(X)&~humble(X))<=>(brave(X)<~>~creative(X))))&
((?[X]:(~creative(X)))=>((patient(alice)|kind(alice))))&
(![X]:((brave(X)<~>tall(X))=>(~brave(X)&~p... | ~kind(alice) | [
"p1",
"p3",
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8785053579967587613905075
% SZS output start Proof for 8785053579967587613905075
2. ! [X0] : (~rich(X0) <=> (~happy(X0) | brave(X0))) [input p1]
4. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (brave(X0) <~> ~creative(X0))) [input p3]
7. ! [X0] : (~humble(X0) => (creative(X0) <~> ~kind(X0))) [... | 0 |
Everyone who is either not happy or not rich is not tall or patient and vice versa.
If someone is curious then someone is calm or brave.
If susan is both not curious and wise then someone is either not wise or not old.
If lucy is either not curious or not quiet then someone is either not creative or patient and vice ve... | Alice is not rich. | entailment | (![X]:((~happy(X)<~>~rich(X))<=>(~tall(X)|patient(X))))&
((?[X]:(curious(X)))=>(?[X]:((calm(X)|brave(X)))))&
(((~curious(susan)&wise(susan)))=>(?[X]:((~wise(X)<~>~old(X)))))&
(((~curious(lucy)<~>~quiet(lucy)))<=>(?[X]:((~creative(X)<~>patient(X)))))&
(![X]:(~strong(X)=>(kind(X)&quiet(X))))&
(![X]:((patient(X)&generous(... | ~rich(alice) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4446717027460109760175456
% SZS output start Proof for 4446717027460109760175456
9. ! [X0] : ((generous(X0) | calm(X0)) => (generous(X0) & ~brave(X0))) [input p8]
16. ! [X0] : ((~calm(X0) | generous(X0)) => ~rich(X0)) [input p15]
25. rich(alice) [input hypothesis]
33. ! [X0] : ((generous(... | 0 |
If someone is not strong then someone is brave and vice versa. If fred is not brave then someone is wise and vice versa. If someone is kind then lucy is calm. Everyone who is both not calm and not funny is not old or happy. Everyone who is either not quiet or not wise is both tall and strong and vice versa. Everyone wh... | Paul is quiet. | contradiction | ((?[X]:(~strong(X)))<=>(?[X]:(brave(X))))&
((~brave(fred))<=>(?[X]:(wise(X))))&
((?[X]:(kind(X)))=>(calm(lucy)))&
(![X]:((~calm(X)&~funny(X))=>(~old(X)|happy(X))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(tall(X)&strong(X))))&
(![X]:((~tall(X)&tall(X))=>(~wise(X)<~>humble(X))))&
((?[X]:((old(X)<~>quiet(X))))=>((creative(john)... | quiet(paul) | [
"p1",
"p4",
"p7",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8902547436350297552408114
% SZS output start Proof for 8902547436350297552408114
2. ~brave(fred) <=> ? [X0] : wise(X0) [input p1]
5. ! [X0] : ((~quiet(X0) <~> ~wise(X0)) <=> (strong(X0) & tall(X0))) [input p4]
8. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> (kind(X0) | brave(X0))) [input p7]
12... | 0 |
If someone is generous then someone is strong.
Everyone who is either not tall or not creative is both not quiet and not funny.
If susan is brave then someone is either strong or creative.
Everyone who is not old is either calm or not creative and vice versa.
Everyone who is both not generous and not wise is patient or... | Susan is quiet. | contradiction | ((?[X]:(generous(X)))=>(?[X]:(strong(X))))&
(![X]:((~tall(X)<~>~creative(X))=>(~quiet(X)&~funny(X))))&
((brave(susan))=>(?[X]:((strong(X)<~>creative(X)))))&
(![X]:(~old(X)<=>(calm(X)<~>~creative(X))))&
(![X]:((~generous(X)&~wise(X))<=>(patient(X)|~strong(X))))&
(![X]:(brave(X)<=>(brave(X)<~>strong(X))))&
(![X]:((funny(... | quiet(susan) | [
"p4",
"p5",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3023454677081120183258782
% SZS output start Proof for 3023454677081120183258782
5. ! [X0] : ((~wise(X0) & ~generous(X0)) <=> (~strong(X0) | patient(X0))) [input p4]
6. ! [X0] : (brave(X0) <=> (brave(X0) <~> strong(X0))) [input p5]
8. ! [X0] : (~kind(X0) <=> ~happy(X0)) [input p7]
10. (~c... | 0 |
If paul is either not tall or humble then someone is either happy or not humble. If lucy is not wise then lucy is either not kind or rich and vice versa. Everyone who is curious or not patient is both not humble and quiet. Everyone who is happy is not quiet or old and vice versa. Everyone who is either brave or patient... | Alice is old. | entailment | (((~tall(paul)<~>humble(paul)))=>(?[X]:((happy(X)<~>~humble(X)))))&
((~wise(lucy))<=>((~kind(lucy)<~>rich(lucy))))&
(![X]:((curious(X)|~patient(X))=>(~humble(X)&quiet(X))))&
(![X]:(happy(X)<=>(~quiet(X)|old(X))))&
(![X]:((brave(X)<~>patient(X))=>(generous(X)&~happy(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~humble(X)|~funny(X... | old(alice) | [
"p3",
"p6",
"p7",
"p8",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 208586104467488168817661
% SZS output start Proof for 208586104467488168817661
4. ! [X0] : (happy(X0) <=> (old(X0) | ~quiet(X0))) [input p3]
7. ! [X0] : ((~funny(X0) & old(X0)) <=> (~happy(X0) | strong(X0))) [input p6]
8. ! [X0] : ((~quiet(X0) | ~rich(X0)) => wise(X0)) [input p7]
9. ! [X0... | 0 |
If fred is both generous and not creative then someone is happy and vice versa. Everyone who is both not calm and quiet is either quiet or rich. If fred is either not curious or strong then someone is old or not curious. If someone is curious then mary is both not old and generous and vice versa. Everyone who is not cu... | John is happy. | contradiction | (((generous(fred)&~creative(fred)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)&quiet(X))=>(quiet(X)<~>rich(X))))&
(((~curious(fred)<~>strong(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:(curious(X)))<=>((~old(mary)&generous(mary))))&
(![X]:(~curious(X)<=>(~generous(X)&~old(X))))&
(![X]:((~kind(X)|wise(X))=>funny(X)))&
(... | happy(john) | [
"p0",
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2648631715867980064609603
% SZS output start Proof for 2648631715867980064609603
1. (~creative(fred) & generous(fred)) <=> ? [X0] : happy(X0) [input p0]
4. ? [X0] : curious(X0) <=> (generous(mary) & ~old(mary)) [input p3]
5. ! [X0] : (~curious(X0) <=> (~old(X0) & ~generous(X0))) [input p4... | 0 |
Everyone who is both not generous and not tall is brave or curious.
If someone is curious then someone is either not old or generous.
If paul is either creative or not humble then mary is both not quiet and not creative and vice versa.
If someone is both rich and not old then lucy is both old and not funny and vice ver... | Alice is not happy. | entailment | (![X]:((~generous(X)&~tall(X))=>(brave(X)|curious(X))))&
((?[X]:(curious(X)))=>(?[X]:((~old(X)<~>generous(X)))))&
(((creative(paul)<~>~humble(paul)))<=>((~quiet(mary)&~creative(mary))))&
((?[X]:((rich(X)&~old(X))))<=>((old(lucy)&~funny(lucy))))&
(((~quiet(lucy)<~>happy(lucy)))=>((kind(paul)<~>tall(paul))))&
((?[X]:((~o... | ~happy(alice) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7602184905605589016646856
% SZS output start Proof for 7602184905605589016646856
19. tall(alice) & ~happy(alice) [input p18]
25. happy(alice) [input hypothesis]
140. ~happy(alice) [cnf transformation 19]
150. happy(alice) [cnf transformation 25]
397. $false [subsumption resolution 150,140... | 0 |
If someone is brave or not brave then john is not tall or not patient.
If someone is not wise then someone is either not brave or not rich.
If someone is both old and not tall then lucy is tall or not tall and vice versa.
If someone is both tall and not calm then someone is either funny or wise and vice versa.
Everyone... | Lucy is wise. | entailment | ((?[X]:((brave(X)|~brave(X))))=>((~tall(john)|~patient(john))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave(X)<~>~rich(X)))))&
((?[X]:((old(X)&~tall(X))))<=>((tall(lucy)|~tall(lucy))))&
((?[X]:((tall(X)&~calm(X))))<=>(?[X]:((funny(X)<~>wise(X)))))&
(![X]:((~tall(X)|~quiet(X))=>strong(X)))&
((?[X]:((happy(X)|generous(X))))=>(?[... | wise(lucy) | [
"p1",
"p7",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3486642820289791678502618
% SZS output start Proof for 3486642820289791678502618
2. ? [X0] : ~wise(X0) => ? [X0] : (~brave(X0) <~> ~rich(X0)) [input p1]
8. ? [X0] : (humble(X0) | brave(X0)) <=> (~kind(lucy) & old(lucy)) [input p7]
12. ! [X0] : (rich(X0) => (tall(X0) & ~rich(X0))) [input p... | 0 |
Everyone who is not old is both not kind and not tall and vice versa.
Everyone who is either not old or strong is both not funny and strong and vice versa.
If alice is curious or not strong then fred is both not humble and not rich.
If someone is not happy or not kind then mary is not funny or rich.
If someone is eithe... | Lucy is old. | entailment | (![X]:(~old(X)<=>(~kind(X)&~tall(X))))&
(![X]:((~old(X)<~>strong(X))<=>(~funny(X)&strong(X))))&
(((curious(alice)|~strong(alice)))=>((~humble(fred)&~rich(fred))))&
((?[X]:((~happy(X)|~kind(X))))=>((~funny(mary)|rich(mary))))&
((?[X]:((~calm(X)<~>~curious(X))))=>(?[X]:((rich(X)|generous(X)))))&
(![X]:((humble(X)|~calm(X... | old(lucy) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 37674999118048581252221
% SZS output start Proof for 37674999118048581252221
1. ! [X0] : (~old(X0) <=> (~tall(X0) & ~kind(X0))) [input p0]
7. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> tall(X0)) [input p6]
25. ~old(lucy) [input hypothesis]
43. ! [X0] : ((~old(X0) | (tall(X0) | kind(X0))) & (... | 0 |
If john is not curious then someone is happy and vice versa.
Everyone who is either rich or not happy is either not quiet or not curious.
Everyone who is either not old or quiet is both old and not strong and vice versa.
Everyone who is creative or not funny is both not humble and not calm.
If susan is not calm or not ... | Paul is quiet. | entailment | ((~curious(john))<=>(?[X]:(happy(X))))&
(![X]:((rich(X)<~>~happy(X))=>(~quiet(X)<~>~curious(X))))&
(![X]:((~old(X)<~>quiet(X))<=>(old(X)&~strong(X))))&
(![X]:((creative(X)|~funny(X))=>(~humble(X)&~calm(X))))&
(((~calm(susan)|~brave(susan)))=>((~generous(mary)&quiet(mary))))&
(![X]:((creative(X)<~>patient(X))=>(~calm(X)... | quiet(paul) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7326986097935733378573656
% SZS output start Proof for 7326986097935733378573656
3. ! [X0] : ((~old(X0) <~> quiet(X0)) <=> (~strong(X0) & old(X0))) [input p2]
7. ! [X0] : (~quiet(X0) <=> (~strong(X0) & rich(X0))) [input p6]
22. ~quiet(paul) [input hypothesis]
37. ! [X0] : ((((~quiet(X0) |... | 0 |
If lucy is rich or not strong then paul is both not kind and not funny. If fred is humble or tall then mary is either creative or rich. Everyone who is both not funny and not quiet is quiet or tall and vice versa. If susan is not old then someone is either brave or generous and vice versa. Everyone who is not humble or... | Susan is not humble. | contradiction | (((rich(lucy)|~strong(lucy)))=>((~kind(paul)&~funny(paul))))&
(((humble(fred)|tall(fred)))=>((creative(mary)<~>rich(mary))))&
(![X]:((~funny(X)&~quiet(X))<=>(quiet(X)|tall(X))))&
((~old(susan))<=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:((~humble(X)|brave(X))=>~generous(X)))&
((?[X]:((patient(X)&creative(X))))<=>(?[X]... | ~humble(susan) | [
"p2",
"p4",
"p5",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7892359823511720563850123
% SZS output start Proof for 7892359823511720563850123
3. ! [X0] : ((~quiet(X0) & ~funny(X0)) <=> (tall(X0) | quiet(X0))) [input p2]
5. ! [X0] : ((brave(X0) | ~humble(X0)) => ~generous(X0)) [input p4]
6. ? [X0] : (creative(X0) & patient(X0)) <=> ? [X0] : (~funny(... | 0 |
If someone is kind or humble then fred is both not funny and not rich.
Everyone who is either rich or not rich is both old and quiet and vice versa.
Everyone who is tall is not funny or not quiet and vice versa.
If someone is brave or quiet then someone is either calm or wise.
Everyone who is curious is either patient ... | Lucy is patient. | entailment | ((?[X]:((kind(X)|humble(X))))=>((~funny(fred)&~rich(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>(old(X)&quiet(X))))&
(![X]:(tall(X)<=>(~funny(X)|~quiet(X))))&
((?[X]:((brave(X)|quiet(X))))=>(?[X]:((calm(X)<~>wise(X)))))&
(![X]:(curious(X)<=>(patient(X)<~>~humble(X))))&
(((generous(lucy)|~tall(lucy)))=>(?[X]:((~creative(X)<... | patient(lucy) | [
"p2",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1799505913942378478437307
% SZS output start Proof for 1799505913942378478437307
3. ! [X0] : (tall(X0) <=> (~quiet(X0) | ~funny(X0))) [input p2]
9. ! [X0] : ((~kind(X0) & ~curious(X0)) <=> (generous(X0) <~> ~funny(X0))) [input p8]
11. ! [X0] : (tall(X0) <=> ~curious(X0)) [input p10]
12. !... | 0 |
If paul is not wise then mary is humble and vice versa. Everyone who is not quiet or not tall is either creative or happy and vice versa. Everyone who is both generous and not creative is not patient or not funny. Everyone who is either old or wise is not wise and vice versa. Everyone who is both not curious and old is... | Lucy is tall. | contradiction | ((~wise(paul))<=>(humble(mary)))&
(![X]:((~quiet(X)|~tall(X))<=>(creative(X)<~>happy(X))))&
(![X]:((generous(X)&~creative(X))=>(~patient(X)|~funny(X))))&
(![X]:((old(X)<~>wise(X))<=>~wise(X)))&
(![X]:((~curious(X)&old(X))<=>(old(X)|strong(X))))&
(![X]:(old(X)=>(funny(X)&~brave(X))))&
(![X]:((~old(X)<~>~generous(X))<=>(... | tall(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1448705751649075387807073
% SZS output start Proof for 1448705751649075387807073
2. ! [X0] : ((~tall(X0) | ~quiet(X0)) <=> (creative(X0) <~> happy(X0))) [input p1]
4. ! [X0] : ((old(X0) <~> wise(X0)) <=> ~wise(X0)) [input p3]
6. ! [X0] : (old(X0) => (~brave(X0) & funny(X0))) [input p5]
7.... | 0 |
If someone is not happy then susan is brave or not generous.
Everyone who is either not calm or not happy is happy or rich.
Everyone who is tall or not kind is both humble and not calm.
Everyone who is funny or not curious is both not wise and not creative and vice versa.
If someone is not curious or not old then lucy ... | Susan is wise. | contradiction | ((?[X]:(~happy(X)))=>((brave(susan)|~generous(susan))))&
(![X]:((~calm(X)<~>~happy(X))=>(happy(X)|rich(X))))&
(![X]:((tall(X)|~kind(X))=>(humble(X)&~calm(X))))&
(![X]:((funny(X)|~curious(X))<=>(~wise(X)&~creative(X))))&
((?[X]:((~curious(X)|~old(X))))<=>((humble(lucy)&~rich(lucy))))&
(((~creative(susan)<~>calm(susan)))... | wise(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8908357064409014525619111
% SZS output start Proof for 8908357064409014525619111
4. ! [X0] : ((~curious(X0) | funny(X0)) <=> (~creative(X0) & ~wise(X0))) [input p3]
7. ! [X0] : ((~calm(X0) <~> ~funny(X0)) <=> ~calm(X0)) [input p6]
25. wise(susan) [input hypothesis]
46. ! [X0] : (((~curiou... | 0 |
If susan is not creative or not generous then someone is rich or humble and vice versa.
If susan is not happy or quiet then alice is either not patient or brave.
If alice is either funny or patient then mary is not generous.
Everyone who is tall or humble is not creative and vice versa.
Everyone who is not happy is eit... | John is not strong. | entailment | (((~creative(susan)|~generous(susan)))<=>(?[X]:((rich(X)|humble(X)))))&
(((~happy(susan)|quiet(susan)))=>((~patient(alice)<~>brave(alice))))&
(((funny(alice)<~>patient(alice)))=>(~generous(mary)))&
(![X]:((tall(X)|humble(X))<=>~creative(X)))&
(![X]:(~happy(X)<=>(patient(X)<~>quiet(X))))&
(![X]:((~funny(X)&~curious(X))<... | ~strong(john) | [
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5315632694510624053465022
% SZS output start Proof for 5315632694510624053465022
12. ? [X0] : (rich(X0) | curious(X0)) <=> kind(john) [input p11]
13. ! [X0] : (humble(X0) => (strong(X0) <~> kind(X0))) [input p12]
15. ! [X0] : ((kind(X0) | ~tall(X0)) => (humble(X0) & ~patient(X0))) [input ... | 0 |
If someone is brave or wise then alice is not patient and vice versa.
Everyone who is rich or not strong is both not calm and old.
Everyone who is both creative and not rich is not brave.
Everyone who is both happy and patient is either not old or humble.
Everyone who is both patient and tall is both not happy and stro... | Mary is not tall. | entailment | ((?[X]:((brave(X)|wise(X))))<=>(~patient(alice)))&
(![X]:((rich(X)|~strong(X))=>(~calm(X)&old(X))))&
(![X]:((creative(X)&~rich(X))=>~brave(X)))&
(![X]:((happy(X)&patient(X))=>(~old(X)<~>humble(X))))&
(![X]:((patient(X)&tall(X))=>(~happy(X)&strong(X))))&
(![X]:((~wise(X)<~>brave(X))<=>(generous(X)&funny(X))))&
(((~tall(... | ~tall(mary) | [
"p1",
"p4",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 472178203934945899415567
% SZS output start Proof for 472178203934945899415567
2. ! [X0] : ((~strong(X0) | rich(X0)) => (old(X0) & ~calm(X0))) [input p1]
5. ! [X0] : ((tall(X0) & patient(X0)) => (strong(X0) & ~happy(X0))) [input p4]
11. ! [X0] : ((~tall(X0) <~> ~patient(X0)) => (generous(... | 0 |
If someone is both brave and happy then someone is both not brave and calm.
If someone is happy then someone is both not happy and not generous and vice versa.
Everyone who is both tall and not happy is either rich or not old.
Everyone who is both calm and not quiet is either not brave or curious.
Everyone who is creat... | John is not creative. | contradiction | ((?[X]:((brave(X)&happy(X))))=>(?[X]:((~brave(X)&calm(X)))))&
((?[X]:(happy(X)))<=>(?[X]:((~happy(X)&~generous(X)))))&
(![X]:((tall(X)&~happy(X))=>(rich(X)<~>~old(X))))&
(![X]:((calm(X)&~quiet(X))=>(~brave(X)<~>curious(X))))&
(![X]:((creative(X)|kind(X))<=>creative(X)))&
(![X]:((~funny(X)<~>~humble(X))<=>(~happy(X)&cur... | ~creative(john) | [
"p4",
"p14",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6334052739475605315690023
% SZS output start Proof for 6334052739475605315690023
5. ! [X0] : ((kind(X0) | creative(X0)) <=> creative(X0)) [input p4]
15. ! [X0] : ((~old(X0) | ~tall(X0)) => curious(X0)) [input p14]
18. kind(john) <~> ~old(john) [input p17]
21. ~curious(john) & ~funny(john)... | 0 |
If mary is either not happy or curious then mary is brave and vice versa. If mary is both happy and not tall then someone is not funny. If lucy is creative or humble then alice is not calm or not creative and vice versa. Everyone who is not creative or funny is not rich or not generous and vice versa. Everyone who is b... | Fred is curious. | neutral | (((~happy(mary)<~>curious(mary)))<=>(brave(mary)))&
(((happy(mary)&~tall(mary)))=>(?[X]:(~funny(X))))&
(((creative(lucy)|humble(lucy)))<=>((~calm(alice)|~creative(alice))))&
(![X]:((~creative(X)|funny(X))<=>(~rich(X)|~generous(X))))&
(![X]:((~curious(X)&~funny(X))<=>(curious(X)&kind(X))))&
(![X]:((wise(X)&~funny(X))<=>... | curious(fred) | [] | null | 0 |
If susan is both generous and not kind then paul is creative or not humble and vice versa.
If susan is either not creative or funny then paul is not wise or not calm.
Everyone who is curious or not humble is both not happy and quiet and vice versa.
Everyone who is curious or creative is quiet.
If someone is both strong... | John is strong. | contradiction | (((generous(susan)&~kind(susan)))<=>((creative(paul)|~humble(paul))))&
(((~creative(susan)<~>funny(susan)))=>((~wise(paul)|~calm(paul))))&
(![X]:((curious(X)|~humble(X))<=>(~happy(X)&quiet(X))))&
(![X]:((curious(X)|creative(X))=>quiet(X)))&
((?[X]:((strong(X)&~strong(X))))<=>(tall(mary)))&
((?[X]:((funny(X)|old(X))))=>... | strong(john) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3582394691337027136701023
% SZS output start Proof for 3582394691337027136701023
12. ! [X0] : (brave(X0) => (brave(X0) & ~strong(X0))) [input p11]
17. ~funny(john) & brave(john) [input p16]
25. strong(john) [input hypothesis]
37. ! [X0] : ((brave(X0) & ~strong(X0)) | ~brave(X0)) [ennf tra... | 0 |
If someone is not funny then alice is not creative.
If someone is both wise and tall then mary is either not curious or humble.
Everyone who is both not tall and kind is wise.
If someone is both quiet and funny then mary is either not wise or not strong.
If someone is kind or not old then mary is either creative or bra... | Susan is not humble. | neutral | ((?[X]:(~funny(X)))=>(~creative(alice)))&
((?[X]:((wise(X)&tall(X))))=>((~curious(mary)<~>humble(mary))))&
(![X]:((~tall(X)&kind(X))=>wise(X)))&
((?[X]:((quiet(X)&funny(X))))=>((~wise(mary)<~>~strong(mary))))&
((?[X]:((kind(X)|~old(X))))<=>((creative(mary)<~>brave(mary))))&
(![X]:(~kind(X)=>(creative(X)&~creative(X))))... | ~humble(susan) | [] | null | 0 |
If alice is both tall and old then someone is both rich and strong and vice versa. If someone is not old or curious then someone is either not generous or not strong and vice versa. Everyone who is both happy and funny is both not wise and humble. Everyone who is either brave or rich is both not calm and not brave and ... | Alice is not kind. | entailment | (((tall(alice)&old(alice)))<=>(?[X]:((rich(X)&strong(X)))))&
((?[X]:((~old(X)|curious(X))))<=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:((happy(X)&funny(X))=>(~wise(X)&humble(X))))&
(![X]:((brave(X)<~>rich(X))<=>(~calm(X)&~brave(X))))&
(![X]:(funny(X)=>(generous(X)<~>~strong(X))))&
(![X]:((kind(X)|~quiet(X))=>(~happ... | ~kind(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 424313057624064247712410
% SZS output start Proof for 424313057624064247712410
6. ! [X0] : ((~quiet(X0) | kind(X0)) => (~kind(X0) & ~happy(X0))) [input p5]
24. kind(alice) [input hypothesis]
29. ! [X0] : (kind(X0) => (~kind(X0) & ~happy(X0))) [pure predicate removal 6]
33. ! [X0] : ((~kin... | 0 |
If someone is either not humble or kind then alice is not humble and vice versa.
If someone is either tall or calm then someone is not curious.
Everyone who is strong or curious is not rich or not humble.
If someone is both calm and not strong then someone is not calm or not rich.
If someone is not brave or not strong ... | Fred is not curious. | contradiction | ((?[X]:((~humble(X)<~>kind(X))))<=>(~humble(alice)))&
((?[X]:((tall(X)<~>calm(X))))=>(?[X]:(~curious(X))))&
(![X]:((strong(X)|curious(X))=>(~rich(X)|~humble(X))))&
((?[X]:((calm(X)&~strong(X))))=>(?[X]:((~calm(X)|~rich(X)))))&
((?[X]:((~brave(X)|~strong(X))))=>(?[X]:((~quiet(X)&~curious(X)))))&
((?[X]:(tall(X)))=>(?[X]... | ~curious(fred) | [
"p4",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6074499128104526985686511
% SZS output start Proof for 6074499128104526985686511
5. ? [X0] : (~strong(X0) | ~brave(X0)) => ? [X0] : (~curious(X0) & ~quiet(X0)) [input p4]
7. ! [X0] : ((~generous(X0) | ~brave(X0)) => (creative(X0) & quiet(X0))) [input p6]
12. ! [X0] : ((brave(X0) | funny(X... | 0 |
Everyone who is patient or not humble is either generous or not calm.
If someone is either not creative or quiet then alice is either quiet or not kind and vice versa.
Everyone who is kind or not kind is both calm and not patient and vice versa.
If john is both not patient and not creative then fred is wise.
Everyone w... | John is wise. | entailment | (![X]:((patient(X)|~humble(X))=>(generous(X)<~>~calm(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>((quiet(alice)<~>~kind(alice))))&
(![X]:((kind(X)|~kind(X))<=>(calm(X)&~patient(X))))&
(((~patient(john)&~creative(john)))=>(wise(fred)))&
(![X]:(~humble(X)=>(~creative(X)|curious(X))))&
((~happy(john))<=>(?[X]:((~wise(X)<... | wise(john) | [
"p0",
"p2",
"p7",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3016358537267684585585253
% SZS output start Proof for 3016358537267684585585253
1. ! [X0] : ((~humble(X0) | patient(X0)) => (generous(X0) <~> ~calm(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | kind(X0)) <=> (~patient(X0) & calm(X0))) [input p2]
8. ! [X0] : ((happy(X0) | creative(X0)) => (~... | 0 |
If alice is old then someone is either not old or not rich and vice versa.
If someone is either not quiet or not humble then someone is both not calm and not funny and vice versa.
Everyone who is either brave or not rich is not funny and vice versa.
Everyone who is brave is either creative or rich and vice versa.
If pa... | Fred is brave. | contradiction | ((old(alice))<=>(?[X]:((~old(X)<~>~rich(X)))))&
((?[X]:((~quiet(X)<~>~humble(X))))<=>(?[X]:((~calm(X)&~funny(X)))))&
(![X]:((brave(X)<~>~rich(X))<=>~funny(X)))&
(![X]:(brave(X)<=>(creative(X)<~>rich(X))))&
((~kind(paul))=>((~creative(susan)<~>humble(susan))))&
(![X]:((~creative(X)<~>creative(X))<=>(patient(X)|~rich(X))... | brave(fred) | [
"p3",
"p6",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3884634009225748675469258
% SZS output start Proof for 3884634009225748675469258
4. ! [X0] : (brave(X0) <=> (creative(X0) <~> rich(X0))) [input p3]
7. ! [X0] : (calm(X0) => (~quiet(X0) & ~creative(X0))) [input p6]
15. ! [X0] : ((~rich(X0) | ~humble(X0)) <=> (calm(X0) <~> rich(X0))) [input... | 0 |
If paul is humble then alice is not tall or creative.
Everyone who is either not generous or not strong is both generous and quiet and vice versa.
Everyone who is quiet is not kind and vice versa.
If someone is both not creative and happy then someone is either creative or not quiet.
Everyone who is not creative is bot... | Fred is not creative. | contradiction | ((humble(paul))=>((~tall(alice)|creative(alice))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)&quiet(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~creative(X)&happy(X))))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:(~creative(X)=>(strong(X)&~happy(X))))&
(![X]:((happy(X)&~brave(X))<=>~funny(X)))&
((?[X]:((~funn... | ~creative(fred) | [
"p1",
"p2",
"p4",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5663624746936964083327279
% SZS output start Proof for 5663624746936964083327279
2. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (quiet(X0) & generous(X0))) [input p1]
3. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input p2]
5. ! [X0] : (~creative(X0) => (~happy(X0) & strong(X0))) [input p4]
12.... | 0 |
Everyone who is not wise or old is tall or creative and vice versa. Everyone who is either not quiet or not patient is either wise or calm and vice versa. Everyone who is both humble and not brave is wise. Everyone who is not generous is either wise or generous. If someone is either humble or not tall then someone is e... | Alice is tall. | contradiction | (![X]:((~wise(X)|old(X))<=>(tall(X)|creative(X))))&
(![X]:((~quiet(X)<~>~patient(X))<=>(wise(X)<~>calm(X))))&
(![X]:((humble(X)&~brave(X))=>wise(X)))&
(![X]:(~generous(X)=>(wise(X)<~>generous(X))))&
((?[X]:((humble(X)<~>~tall(X))))<=>(?[X]:((~patient(X)<~>funny(X)))))&
((?[X]:((kind(X)|~strong(X))))=>(?[X]:((~wise(X)<~... | tall(alice) | [
"p0",
"p3",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1136663319192671376319143
% SZS output start Proof for 1136663319192671376319143
1. ! [X0] : ((old(X0) | ~wise(X0)) <=> (creative(X0) | tall(X0))) [input p0]
4. ! [X0] : (~generous(X0) => (wise(X0) <~> generous(X0))) [input p3]
10. ! [X0] : ((~funny(X0) & ~old(X0)) <=> (~kind(X0) | wise(X... | 0 |
If someone is both not humble and patient then paul is both not calm and humble and vice versa.
Everyone who is patient is old.
Everyone who is both tall and not strong is brave.
Everyone who is both not rich and not calm is old or quiet.
If lucy is either creative or tall then someone is not creative or not brave.
Eve... | Lucy is strong. | neutral | ((?[X]:((~humble(X)&patient(X))))<=>((~calm(paul)&humble(paul))))&
(![X]:(patient(X)=>old(X)))&
(![X]:((tall(X)&~strong(X))=>brave(X)))&
(![X]:((~rich(X)&~calm(X))=>(old(X)|quiet(X))))&
(((creative(lucy)<~>tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((~tall(X)|rich(X))<=>(humble(X)|old(X))))&
(![X]:(~patien... | strong(lucy) | [] | null | 0 |
Everyone who is calm or not brave is either not quiet or old and vice versa. Everyone who is not curious or not kind is not humble or not calm. Everyone who is strong or curious is not strong and vice versa. Everyone who is not wise is both brave and not patient. If someone is brave or tall then fred is both brave and ... | Susan is strong. | contradiction | (![X]:((calm(X)|~brave(X))<=>(~quiet(X)<~>old(X))))&
(![X]:((~curious(X)|~kind(X))=>(~humble(X)|~calm(X))))&
(![X]:((strong(X)|curious(X))<=>~strong(X)))&
(![X]:(~wise(X)=>(brave(X)&~patient(X))))&
((?[X]:((brave(X)|tall(X))))=>((brave(fred)&~wise(fred))))&
(![X]:(curious(X)=>creative(X)))&
(![X]:((~curious(X)<~>~tall(... | strong(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5622310044411885860173494
% SZS output start Proof for 5622310044411885860173494
3. ! [X0] : ((curious(X0) | strong(X0)) <=> ~strong(X0)) [input p2]
24. strong(susan) [input hypothesis]
40. ! [X0] : (((curious(X0) | strong(X0)) | strong(X0)) & (~strong(X0) | (~curious(X0) & ~strong(X0))))... | 0 |
If someone is generous or not generous then john is either quiet or strong. Everyone who is not calm or not rich is either not old or not curious. If alice is not funny then fred is not brave and vice versa. If john is either quiet or not strong then someone is curious or wise and vice versa. Everyone who is generous o... | Susan is not humble. | entailment | ((?[X]:((generous(X)|~generous(X))))=>((quiet(john)<~>strong(john))))&
(![X]:((~calm(X)|~rich(X))=>(~old(X)<~>~curious(X))))&
((~funny(alice))<=>(~brave(fred)))&
(((quiet(john)<~>~strong(john)))<=>(?[X]:((curious(X)|wise(X)))))&
(![X]:((generous(X)|calm(X))<=>(~kind(X)&happy(X))))&
(![X]:((~generous(X)|~humble(X))=>(~c... | ~humble(susan) | [
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8265362542568519174764390
% SZS output start Proof for 8265362542568519174764390
8. ! [X0] : ((creative(X0) | ~strong(X0)) => ~humble(X0)) [input p7]
17. ~strong(susan) & happy(susan) [input p16]
22. humble(susan) [input hypothesis]
27. ! [X0] : (~humble(X0) | (~creative(X0) & strong(X0))... | 0 |
If someone is kind then susan is either kind or generous and vice versa. Everyone who is both not rich and rich is humble. If susan is either wise or old then john is not quiet and vice versa. Everyone who is curious is either not strong or generous and vice versa. Everyone who is not happy or not old is tall. If mary ... | John is creative. | neutral | ((?[X]:(kind(X)))<=>((kind(susan)<~>generous(susan))))&
(![X]:((~rich(X)&rich(X))=>humble(X)))&
(((wise(susan)<~>old(susan)))<=>(~quiet(john)))&
(![X]:(curious(X)<=>(~strong(X)<~>generous(X))))&
(![X]:((~happy(X)|~old(X))=>tall(X)))&
(((~rich(mary)|wise(mary)))<=>(?[X]:(~kind(X))))&
(![X]:((wise(X)|~generous(X))<=>(old... | creative(john) | [] | null | 0 |
If susan is both wise and calm then someone is either happy or not calm.
Everyone who is generous or not old is both not quiet and not funny.
Everyone who is both not curious and tall is both patient and not kind and vice versa.
Everyone who is both not generous and tall is both not calm and not brave.
If fred is not c... | Mary is not happy. | neutral | (((wise(susan)&calm(susan)))=>(?[X]:((happy(X)<~>~calm(X)))))&
(![X]:((generous(X)|~old(X))=>(~quiet(X)&~funny(X))))&
(![X]:((~curious(X)&tall(X))<=>(patient(X)&~kind(X))))&
(![X]:((~generous(X)&tall(X))=>(~calm(X)&~brave(X))))&
(((~calm(fred)|~kind(fred)))<=>((tall(lucy)&~happy(lucy))))&
(![X]:(~tall(X)=>(strong(X)|ri... | ~happy(mary) | [] | null | 0 |
If someone is either not strong or not humble then someone is both patient and not rich. Everyone who is either brave or not curious is both not generous and not brave and vice versa. Everyone who is rich is not patient. Everyone who is rich or brave is either strong or old and vice versa. If someone is either not tall... | Mary is strong. | contradiction | ((?[X]:((~strong(X)<~>~humble(X))))=>(?[X]:((patient(X)&~rich(X)))))&
(![X]:((brave(X)<~>~curious(X))<=>(~generous(X)&~brave(X))))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((rich(X)|brave(X))<=>(strong(X)<~>old(X))))&
((?[X]:((~tall(X)<~>kind(X))))=>((funny(fred)&~patient(fred))))&
(![X]:((~wise(X)&~strong(X))<=>(~tall(X)... | strong(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 9074800354971042492213657
% SZS output start Proof for 9074800354971042492213657
6. ! [X0] : ((~strong(X0) & ~wise(X0)) <=> (tall(X0) | ~tall(X0))) [input p5]
24. strong(mary) [input hypothesis]
47. ! [X0] : (((~strong(X0) & ~wise(X0)) | (~tall(X0) & tall(X0))) & ((tall(X0) | ~tall(X0)) |... | 0 |
Everyone who is either creative or calm is either not curious or old and vice versa. Everyone who is not creative is either not happy or not wise. Everyone who is not happy or not curious is kind or humble. Everyone who is kind or not tall is not wise or patient. If paul is either not tall or tall then paul is not tall... | Lucy is not curious. | entailment | (![X]:((creative(X)<~>calm(X))<=>(~curious(X)<~>old(X))))&
(![X]:(~creative(X)=>(~happy(X)<~>~wise(X))))&
(![X]:((~happy(X)|~curious(X))=>(kind(X)|humble(X))))&
(![X]:((kind(X)|~tall(X))=>(~wise(X)|patient(X))))&
(((~tall(paul)<~>tall(paul)))=>((~tall(paul)|~patient(paul))))&
(![X]:((~kind(X)&~old(X))<=>(curious(X)<~>~... | ~curious(lucy) | [
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1941288360784518325523662
% SZS output start Proof for 1941288360784518325523662
9. ! [X0] : (~old(X0) => ~patient(X0)) [input p8]
11. ! [X0] : ((~old(X0) <~> curious(X0)) <=> ~curious(X0)) [input p10]
15. (patient(john) & calm(john)) <=> ? [X0] : (~rich(X0) | curious(X0)) [input p14]
23.... | 0 |
If fred is not curious then someone is creative or old and vice versa.
If someone is brave then john is kind or brave.
Everyone who is both not old and old is not quiet and vice versa.
Everyone who is both not happy and generous is both not humble and creative and vice versa.
Everyone who is generous is funny or humble... | Lucy is not kind. | neutral | ((~curious(fred))<=>(?[X]:((creative(X)|old(X)))))&
((?[X]:(brave(X)))=>((kind(john)|brave(john))))&
(![X]:((~old(X)&old(X))<=>~quiet(X)))&
(![X]:((~happy(X)&generous(X))<=>(~humble(X)&creative(X))))&
(![X]:(generous(X)=>(funny(X)|humble(X))))&
((?[X]:(~rich(X)))<=>(?[X]:((~wise(X)|~patient(X)))))&
(((~happy(mary)<~>~f... | ~kind(lucy) | [] | null | 0 |
If susan is humble then someone is creative or curious.
If someone is both not generous and happy then someone is both funny and wise.
If someone is either not wise or patient then paul is either not patient or not rich.
Everyone who is both not curious and kind is not creative and vice versa.
If lucy is not happy then... | Lucy is not curious. | entailment | ((humble(susan))=>(?[X]:((creative(X)|curious(X)))))&
((?[X]:((~generous(X)&happy(X))))=>(?[X]:((funny(X)&wise(X)))))&
((?[X]:((~wise(X)<~>patient(X))))=>((~patient(paul)<~>~rich(paul))))&
(![X]:((~curious(X)&kind(X))<=>~creative(X)))&
((~happy(lucy))=>((~brave(fred)|kind(fred))))&
(((brave(alice)|rich(alice)))<=>(?[X]... | ~curious(lucy) | [
"p3",
"p7",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6068740884837686350590627
% SZS output start Proof for 6068740884837686350590627
4. ! [X0] : ((kind(X0) & ~curious(X0)) <=> ~creative(X0)) [input p3]
8. ? [X0] : quiet(X0) => (patient(lucy) <~> ~curious(lucy)) [input p7]
11. ! [X0] : ((calm(X0) | ~rich(X0)) <=> (~curious(X0) | ~patient(X0... | 0 |
Everyone who is either funny or old is not strong.
Everyone who is patient is not funny or not old.
Everyone who is not happy or not curious is both curious and not quiet.
Everyone who is not happy is both not strong and happy and vice versa.
If mary is either not generous or curious then susan is both wise and not bra... | Mary is not patient. | neutral | (![X]:((funny(X)<~>old(X))=>~strong(X)))&
(![X]:(patient(X)=>(~funny(X)|~old(X))))&
(![X]:((~happy(X)|~curious(X))=>(curious(X)&~quiet(X))))&
(![X]:(~happy(X)<=>(~strong(X)&happy(X))))&
(((~generous(mary)<~>curious(mary)))<=>((wise(susan)&~brave(susan))))&
((?[X]:((quiet(X)<~>~wise(X))))<=>(~tall(paul)))&
(![X]:((~crea... | ~patient(mary) | [] | null | 0 |
Everyone who is both humble and curious is wise. Everyone who is generous is not funny or rich and vice versa. If someone is either not calm or curious then someone is not tall. If someone is not generous or kind then paul is patient or brave. Everyone who is not wise or curious is tall or patient and vice versa. If so... | Fred is wise. | entailment | (![X]:((humble(X)&curious(X))=>wise(X)))&
(![X]:(generous(X)<=>(~funny(X)|rich(X))))&
((?[X]:((~calm(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
((?[X]:((~generous(X)|kind(X))))=>((patient(paul)|brave(paul))))&
(![X]:((~wise(X)|curious(X))<=>(tall(X)|patient(X))))&
((?[X]:(~humble(X)))=>(?[X]:((generous(X)<~>funny(X)))))&
... | wise(fred) | [
"p0",
"p1",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7439301282661553997562645
% SZS output start Proof for 7439301282661553997562645
1. ! [X0] : ((curious(X0) & humble(X0)) => wise(X0)) [input p0]
2. ! [X0] : (generous(X0) <=> (rich(X0) | ~funny(X0))) [input p1]
8. ! [X0] : ((funny(X0) | rich(X0)) <=> generous(X0)) [input p7]
11. (quiet(fr... | 0 |
If someone is not kind or humble then someone is both not wise and not quiet and vice versa.
Everyone who is quiet is not wise and vice versa.
Everyone who is quiet or creative is not strong and vice versa.
If someone is not funny then someone is either not patient or calm.
If someone is either not curious or patient t... | Alice is brave. | contradiction | ((?[X]:((~kind(X)|humble(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:(quiet(X)<=>~wise(X)))&
(![X]:((quiet(X)|creative(X))<=>~strong(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~patient(X)<~>calm(X)))))&
((?[X]:((~curious(X)<~>patient(X))))=>(?[X]:(~quiet(X))))&
((~funny(lucy))<=>(?[X]:(quiet(X))))&
((?[X]:((~calm(X)|rich(X))... | brave(alice) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8537933181333904139405294
% SZS output start Proof for 8537933181333904139405294
1. ? [X0] : (humble(X0) | ~kind(X0)) <=> ? [X0] : (~quiet(X0) & ~wise(X0)) [input p0]
2. ! [X0] : (quiet(X0) <=> ~wise(X0)) [input p1]
3. ! [X0] : ((creative(X0) | quiet(X0)) <=> ~strong(X0)) [input p2]
9. ? ... | 0 |
Everyone who is not tall is either not generous or generous and vice versa.
Everyone who is not old is not humble or rich and vice versa.
Everyone who is both not rich and not patient is both not old and not curious and vice versa.
If fred is either not curious or not kind then someone is either curious or not generous... | Mary is not happy. | neutral | (![X]:(~tall(X)<=>(~generous(X)<~>generous(X))))&
(![X]:(~old(X)<=>(~humble(X)|rich(X))))&
(![X]:((~rich(X)&~patient(X))<=>(~old(X)&~curious(X))))&
(((~curious(fred)<~>~kind(fred)))=>(?[X]:((curious(X)<~>~generous(X)))))&
(((rich(lucy)&generous(lucy)))=>((~quiet(paul)&~wise(paul))))&
(((curious(fred)<~>~funny(fred)))=>... | ~happy(mary) | [] | null | 0 |
If alice is not generous or humble then lucy is both not humble and curious.
Everyone who is not creative is either not strong or not brave and vice versa.
If someone is brave or not kind then paul is both not strong and not generous.
Everyone who is curious or not humble is both not calm and not wise and vice versa.
E... | Mary is generous. | entailment | (((~generous(alice)|humble(alice)))=>((~humble(lucy)&curious(lucy))))&
(![X]:(~creative(X)<=>(~strong(X)<~>~brave(X))))&
((?[X]:((brave(X)|~kind(X))))=>((~strong(paul)&~generous(paul))))&
(![X]:((curious(X)|~humble(X))<=>(~calm(X)&~wise(X))))&
(![X]:((rich(X)|wise(X))<=>(~tall(X)|~wise(X))))&
(((~generous(fred)|old(fre... | generous(mary) | [
"p0",
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4960213307322625017289461
% SZS output start Proof for 4960213307322625017289461
1. (humble(alice) | ~generous(alice)) => (curious(lucy) & ~humble(lucy)) [input p0]
4. ! [X0] : ((~humble(X0) | curious(X0)) <=> (~wise(X0) & ~calm(X0))) [input p3]
8. ? [X0] : (wise(X0) & ~brave(X0)) <=> (ge... | 0 |
Everyone who is both kind and tall is both generous and curious. Everyone who is happy is both not kind and not generous. Everyone who is either brave or patient is both humble and not creative. If alice is not patient or not rich then lucy is generous or not strong and vice versa. If alice is brave then someone is tal... | Lucy is generous. | contradiction | (![X]:((kind(X)&tall(X))=>(generous(X)&curious(X))))&
(![X]:(happy(X)=>(~kind(X)&~generous(X))))&
(![X]:((brave(X)<~>patient(X))=>(humble(X)&~creative(X))))&
(((~patient(alice)|~rich(alice)))<=>((generous(lucy)|~strong(lucy))))&
((brave(alice))<=>(?[X]:((tall(X)|strong(X)))))&
((?[X]:((~brave(X)&funny(X))))=>((~brave(s... | generous(lucy) | [
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7489967203156049029501809
% SZS output start Proof for 7489967203156049029501809
2. ! [X0] : (happy(X0) => (~generous(X0) & ~kind(X0))) [input p1]
19. happy(lucy) & ~funny(lucy) [input p18]
24. generous(lucy) [input hypothesis]
29. ! [X0] : ((~generous(X0) & ~kind(X0)) | ~happy(X0)) [ennf... | 0 |
Everyone who is both not old and humble is kind or not rich. Everyone who is not wise is not brave and vice versa. Everyone who is both wise and not old is both not quiet and not tall and vice versa. Everyone who is not calm is not patient and vice versa. Everyone who is generous is both not patient and not tall. Every... | Lucy is patient. | contradiction | (![X]:((~old(X)&humble(X))=>(kind(X)|~rich(X))))&
(![X]:(~wise(X)<=>~brave(X)))&
(![X]:((wise(X)&~old(X))<=>(~quiet(X)&~tall(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(![X]:(generous(X)=>(~patient(X)&~tall(X))))&
(![X]:(~old(X)=>(~rich(X)<~>~humble(X))))&
(![X]:((~curious(X)<~>humble(X))<=>(kind(X)<~>~curious(X))))&
((?[... | patient(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p7",
"p8",
"p9",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1368751872278942297454365
% SZS output start Proof for 1368751872278942297454365
2. ! [X0] : (~wise(X0) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((~old(X0) & wise(X0)) <=> (~tall(X0) & ~quiet(X0))) [input p2]
4. ! [X0] : (~calm(X0) <=> ~patient(X0)) [input p3]
5. ! [X0] : (generous(X0) => (... | 0 |
If someone is not old or not calm then someone is rich or not brave.
Everyone who is curious or patient is both humble and not humble.
Everyone who is both funny and not wise is creative or patient and vice versa.
Everyone who is not tall is funny or humble and vice versa.
Everyone who is happy or generous is both stro... | Susan is curious. | contradiction | ((?[X]:((~old(X)|~calm(X))))=>(?[X]:((rich(X)|~brave(X)))))&
(![X]:((curious(X)|patient(X))=>(humble(X)&~humble(X))))&
(![X]:((funny(X)&~wise(X))<=>(creative(X)|patient(X))))&
(![X]:(~tall(X)<=>(funny(X)|humble(X))))&
(![X]:((happy(X)|generous(X))=>(strong(X)&generous(X))))&
(((creative(lucy)|strong(lucy)))<=>((~funny(... | curious(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3080617117278911959940702
% SZS output start Proof for 3080617117278911959940702
2. ! [X0] : ((patient(X0) | curious(X0)) => (~humble(X0) & humble(X0))) [input p1]
23. curious(susan) [input hypothesis]
28. ! [X0] : ((~humble(X0) & humble(X0)) | (~patient(X0) & ~curious(X0))) [ennf transfo... | 0 |
If susan is either not generous or not patient then someone is either wise or not tall and vice versa.
Everyone who is brave or not patient is not generous.
Everyone who is not patient or not rich is both happy and not old and vice versa.
Everyone who is both not rich and not brave is not wise or rich.
If paul is kind ... | John is not calm. | contradiction | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((~patient(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((~rich(X)&~brave(X))=>(~wise(X)|rich(X))))&
((kind(paul))=>((kind(paul)<~>~old(paul))))&
(![X]:((~patient(X)|rich(X))<=>(~patient(X)<~>~ca... | ~calm(john) | [
"p1",
"p2",
"p5",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6984072486072868391736672
% SZS output start Proof for 6984072486072868391736672
2. ! [X0] : ((~patient(X0) | brave(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : ((~rich(X0) | ~patient(X0)) <=> (~old(X0) & happy(X0))) [input p2]
6. ! [X0] : ((rich(X0) | ~patient(X0)) <=> (~patient(X0) <~>... | 0 |
Everyone who is either not patient or kind is not strong and vice versa.
Everyone who is not funny or not old is tall or happy.
If lucy is both not tall and not humble then someone is either not strong or kind.
If someone is humble then someone is both calm and funny and vice versa.
If someone is not kind or not creati... | Lucy is tall. | neutral | (![X]:((~patient(X)<~>kind(X))<=>~strong(X)))&
(![X]:((~funny(X)|~old(X))=>(tall(X)|happy(X))))&
(((~tall(lucy)&~humble(lucy)))=>(?[X]:((~strong(X)<~>kind(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((calm(X)&funny(X)))))&
((?[X]:((~kind(X)|~creative(X))))=>(?[X]:((generous(X)&happy(X)))))&
((?[X]:((quiet(X)<~>curious(X))))=>(... | tall(lucy) | [] | null | 0 |
Everyone who is not generous is either not rich or rich and vice versa. If someone is not curious or not tall then john is patient. Everyone who is both not kind and not quiet is not happy. If someone is either not wise or wise then alice is either not quiet or calm and vice versa. Everyone who is brave is either patie... | Lucy is funny. | neutral | (![X]:(~generous(X)<=>(~rich(X)<~>rich(X))))&
((?[X]:((~curious(X)|~tall(X))))=>(patient(john)))&
(![X]:((~kind(X)&~quiet(X))=>~happy(X)))&
((?[X]:((~wise(X)<~>wise(X))))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:(brave(X)=>(patient(X)<~>funny(X))))&
(![X]:((~wise(X)<~>~rich(X))=>wise(X)))&
(![X]:((~creative(X)&~curiou... | funny(lucy) | [] | null | 0 |
If susan is either happy or funny then someone is either kind or not patient. If someone is wise or generous then someone is both patient and not generous and vice versa. Everyone who is either strong or not strong is kind and vice versa. Everyone who is both not brave and old is not generous or not brave and vice vers... | John is not strong. | neutral | (((happy(susan)<~>funny(susan)))=>(?[X]:((kind(X)<~>~patient(X)))))&
((?[X]:((wise(X)|generous(X))))<=>(?[X]:((patient(X)&~generous(X)))))&
(![X]:((strong(X)<~>~strong(X))<=>kind(X)))&
(![X]:((~brave(X)&old(X))<=>(~generous(X)|~brave(X))))&
((rich(john))=>(?[X]:((~creative(X)<~>~happy(X)))))&
(![X]:((tall(X)|funny(X))=... | ~strong(john) | [] | null | 0 |
If someone is either not rich or not patient then alice is calm and vice versa.
Everyone who is not brave is both not wise and funny.
Everyone who is not rich or not creative is not strong.
Everyone who is calm or generous is either rich or not calm.
Everyone who is either curious or creative is either generous or not ... | Susan is not brave. | neutral | ((?[X]:((~rich(X)<~>~patient(X))))<=>(calm(alice)))&
(![X]:(~brave(X)=>(~wise(X)&funny(X))))&
(![X]:((~rich(X)|~creative(X))=>~strong(X)))&
(![X]:((calm(X)|generous(X))=>(rich(X)<~>~calm(X))))&
(![X]:((curious(X)<~>creative(X))=>(generous(X)<~>~humble(X))))&
(![X]:((~creative(X)<~>curious(X))<=>(brave(X)&tall(X))))&
(!... | ~brave(susan) | [] | null | 0 |
Everyone who is both calm and kind is both funny and not funny and vice versa. If susan is both not patient and humble then mary is not quiet and vice versa. Everyone who is both rich and calm is either brave or not rich and vice versa. If someone is both humble and strong then lucy is either not calm or not old and vi... | John is not kind. | entailment | (![X]:((calm(X)&kind(X))<=>(funny(X)&~funny(X))))&
(((~patient(susan)&humble(susan)))<=>(~quiet(mary)))&
(![X]:((rich(X)&calm(X))<=>(brave(X)<~>~rich(X))))&
((?[X]:((humble(X)&strong(X))))<=>((~calm(lucy)<~>~old(lucy))))&
(![X]:((~humble(X)<~>~creative(X))=>(~generous(X)<~>~creative(X))))&
(((~rich(mary)&~funny(mary)))... | ~kind(john) | [
"p0",
"p2",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6665267504205104958903781
% SZS output start Proof for 6665267504205104958903781
1. ! [X0] : ((kind(X0) & calm(X0)) <=> (~funny(X0) & funny(X0))) [input p0]
3. ! [X0] : ((calm(X0) & rich(X0)) <=> (brave(X0) <~> ~rich(X0))) [input p2]
10. ! [X0] : (~rich(X0) <=> (brave(X0) <~> funny(X0))) ... | 0 |
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