premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is not funny then someone is rich or tall and vice versa.
If fred is generous or not calm then someone is either curious or not happy and vice versa.
Everyone who is both not rich and not humble is either generous or calm and vice versa.
If someone is both not kind and not quiet then lucy is patient and vice... | Fred is creative. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((rich(X)|tall(X)))))&
(((generous(fred)|~calm(fred)))<=>(?[X]:((curious(X)<~>~happy(X)))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)<~>calm(X))))&
((?[X]:((~kind(X)&~quiet(X))))<=>(patient(lucy)))&
((?[X]:((~humble(X)<~>~creative(X))))=>(?[X]:((happy(X)|patient(X)))))&
(![X]:(~calm(X)=>(... | creative(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4890802347585181674104942
% SZS output start Proof for 4890802347585181674104942
21. ~creative(fred) & old(fred) [input p20]
25. creative(fred) [input hypothesis]
156. ~creative(fred) [cnf transformation 21]
162. creative(fred) [cnf transformation 25]
405. $false [subsumption resolution 1... | 0 |
Everyone who is either quiet or not patient is calm or not generous and vice versa.
Everyone who is not funny is either not old or not kind and vice versa.
If fred is not kind or not happy then someone is not calm and vice versa.
Everyone who is either old or rich is not brave or not kind and vice versa.
If someone is ... | Fred is humble. | neutral | (![X]:((quiet(X)<~>~patient(X))<=>(calm(X)|~generous(X))))&
(![X]:(~funny(X)<=>(~old(X)<~>~kind(X))))&
(((~kind(fred)|~happy(fred)))<=>(?[X]:(~calm(X))))&
(![X]:((old(X)<~>rich(X))<=>(~brave(X)|~kind(X))))&
((?[X]:(~tall(X)))=>(~strong(paul)))&
(![X]:(~brave(X)<=>(curious(X)|~strong(X))))&
(![X]:((~humble(X)&~strong(X)... | humble(fred) | [] | null | 0 |
Everyone who is tall is both not happy and not tall. Everyone who is either not calm or strong is kind or creative. Everyone who is quiet or calm is patient. Everyone who is either not strong or not brave is both not brave and not rich and vice versa. If fred is both tall and rich then fred is both calm and not happy a... | Susan is not patient. | contradiction | (![X]:(tall(X)=>(~happy(X)&~tall(X))))&
(![X]:((~calm(X)<~>strong(X))=>(kind(X)|creative(X))))&
(![X]:((quiet(X)|calm(X))=>patient(X)))&
(![X]:((~strong(X)<~>~brave(X))<=>(~brave(X)&~rich(X))))&
(((tall(fred)&rich(fred)))<=>((calm(fred)&~happy(fred))))&
((old(alice))<=>((patient(mary)<~>curious(mary))))&
(![X]:((~happy... | ~patient(susan) | [
"p0",
"p2",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 384390160801091533590750
% SZS output start Proof for 384390160801091533590750
1. ! [X0] : (tall(X0) => (~tall(X0) & ~happy(X0))) [input p0]
3. ! [X0] : ((calm(X0) | quiet(X0)) => patient(X0)) [input p2]
9. ? [X0] : (~tall(X0) & ~quiet(X0)) => creative(alice) [input p8]
14. ? [X0] : (crea... | 0 |
Everyone who is not old is either happy or old and vice versa.
If lucy is either not humble or quiet then fred is both calm and not funny.
Everyone who is either not rich or happy is not curious.
Everyone who is either strong or patient is kind.
If someone is either patient or not humble then someone is both happy and ... | Lucy is not strong. | entailment | (![X]:(~old(X)<=>(happy(X)<~>old(X))))&
(((~humble(lucy)<~>quiet(lucy)))=>((calm(fred)&~funny(fred))))&
(![X]:((~rich(X)<~>happy(X))=>~curious(X)))&
(![X]:((strong(X)<~>patient(X))=>kind(X)))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((happy(X)&creative(X)))))&
(![X]:((old(X)|generous(X))=>(strong(X)&curious(X))))&
(... | ~strong(lucy) | [
"p0",
"p2",
"p3",
"p10",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7434352926256679391325819
% SZS output start Proof for 7434352926256679391325819
1. ! [X0] : (~old(X0) <=> (happy(X0) <~> old(X0))) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) => ~curious(X0)) [input p2]
4. ! [X0] : ((strong(X0) <~> patient(X0)) => kind(X0)) [input p3]
11. ! [X0] : ... | 0 |
Everyone who is either curious or not tall is both brave and old and vice versa.
If someone is both happy and quiet then john is either not wise or not happy.
If john is either humble or brave then someone is not funny and vice versa.
Everyone who is both wise and brave is creative or calm and vice versa.
Everyone who ... | John is not tall. | contradiction | (![X]:((curious(X)<~>~tall(X))<=>(brave(X)&old(X))))&
((?[X]:((happy(X)&quiet(X))))=>((~wise(john)<~>~happy(john))))&
(((humble(john)<~>brave(john)))<=>(?[X]:(~funny(X))))&
(![X]:((wise(X)&brave(X))<=>(creative(X)|calm(X))))&
(![X]:((~rich(X)|~patient(X))<=>(~rich(X)|creative(X))))&
(![X]:((patient(X)<~>wise(X))=>(~gen... | ~tall(john) | [
"p0",
"p3",
"p5",
"p8",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7145317347109271314319779
% SZS output start Proof for 7145317347109271314319779
1. ! [X0] : ((curious(X0) <~> ~tall(X0)) <=> (old(X0) & brave(X0))) [input p0]
4. ! [X0] : ((brave(X0) & wise(X0)) <=> (calm(X0) | creative(X0))) [input p3]
6. ! [X0] : ((patient(X0) <~> wise(X0)) => (tall(X0... | 0 |
Everyone who is both not tall and not brave is either curious or not old and vice versa.
Everyone who is creative is humble.
If fred is kind or rich then someone is not generous.
If mary is either patient or brave then mary is both not creative and strong.
Everyone who is either rich or not quiet is either strong or no... | John is not rich. | contradiction | (![X]:((~tall(X)&~brave(X))<=>(curious(X)<~>~old(X))))&
(![X]:(creative(X)=>humble(X)))&
(((kind(fred)|rich(fred)))=>(?[X]:(~generous(X))))&
(((patient(mary)<~>brave(mary)))=>((~creative(mary)&strong(mary))))&
(![X]:((rich(X)<~>~quiet(X))<=>(strong(X)<~>~creative(X))))&
(![X]:(~tall(X)=>(~brave(X)&rich(X))))&
(![X]:((t... | ~rich(john) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 642870406968939860598266
% SZS output start Proof for 642870406968939860598266
6. ! [X0] : (~tall(X0) => (rich(X0) & ~brave(X0))) [input p5]
12. ! [X0] : (tall(X0) <=> (~generous(X0) & generous(X0))) [input p11]
22. ~rich(john) [input hypothesis]
27. ! [X0] : ((rich(X0) & ~brave(X0)) | ta... | 0 |
If susan is either humble or curious then alice is either not quiet or brave and vice versa. If someone is not generous or generous then someone is rich and vice versa. Everyone who is not generous or quiet is brave. If someone is either not calm or strong then paul is not quiet and vice versa. Everyone who is not curi... | Mary is strong. | contradiction | (((humble(susan)<~>curious(susan)))<=>((~quiet(alice)<~>brave(alice))))&
((?[X]:((~generous(X)|generous(X))))<=>(?[X]:(rich(X))))&
(![X]:((~generous(X)|quiet(X))=>brave(X)))&
((?[X]:((~calm(X)<~>strong(X))))<=>(~quiet(paul)))&
(![X]:(~curious(X)<=>(calm(X)&old(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~patient(X)&~kin... | strong(mary) | [
"p5",
"p14",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6133732563896149228339959
% SZS output start Proof for 6133732563896149228339959
6. ! [X0] : ((~humble(X0) | ~generous(X0)) <=> (~kind(X0) & ~patient(X0))) [input p5]
15. ! [X0] : (humble(X0) <=> ~brave(X0)) [input p14]
17. patient(mary) <~> ~strong(mary) [input p16]
19. brave(mary) & ~cu... | 0 |
Everyone who is either not rich or not calm is not brave and vice versa. Everyone who is brave is either curious or rich and vice versa. If mary is either generous or funny then fred is not funny. Everyone who is not humble or not rich is not humble or old and vice versa. Everyone who is either brave or calm is either ... | Fred is strong. | neutral | (![X]:((~rich(X)<~>~calm(X))<=>~brave(X)))&
(![X]:(brave(X)<=>(curious(X)<~>rich(X))))&
(((generous(mary)<~>funny(mary)))=>(~funny(fred)))&
(![X]:((~humble(X)|~rich(X))<=>(~humble(X)|old(X))))&
(![X]:((brave(X)<~>calm(X))<=>(humble(X)<~>creative(X))))&
(((funny(mary)&patient(mary)))=>(~kind(paul)))&
((happy(fred))<=>(?... | strong(fred) | [] | null | 0 |
Everyone who is both not strong and not patient is creative and vice versa.
Everyone who is both kind and not kind is both old and not wise.
If someone is either quiet or not patient then someone is both generous and not brave and vice versa.
If someone is calm or curious then paul is kind or rich.
If someone is not qu... | John is strong. | neutral | (![X]:((~strong(X)&~patient(X))<=>creative(X)))&
(![X]:((kind(X)&~kind(X))=>(old(X)&~wise(X))))&
((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((calm(X)|curious(X))))=>((kind(paul)|rich(paul))))&
((?[X]:((~quiet(X)|wise(X))))=>(?[X]:((strong(X)&brave(X)))))&
(((happy(mary)&curious(mary)... | strong(john) | [] | null | 0 |
If paul is not tall then mary is either not humble or not creative and vice versa.
Everyone who is either not strong or funny is wise.
Everyone who is not generous is not creative and vice versa.
If someone is either not tall or not happy then someone is old and vice versa.
If someone is either not happy or not brave t... | John is humble. | neutral | ((~tall(paul))<=>((~humble(mary)<~>~creative(mary))))&
(![X]:((~strong(X)<~>funny(X))=>wise(X)))&
(![X]:(~generous(X)<=>~creative(X)))&
((?[X]:((~tall(X)<~>~happy(X))))<=>(?[X]:(old(X))))&
((?[X]:((~happy(X)<~>~brave(X))))=>(?[X]:((~quiet(X)&tall(X)))))&
(((~quiet(susan)<~>~brave(susan)))=>(?[X]:((strong(X)&~rich(X))))... | humble(john) | [] | null | 0 |
If someone is either humble or funny then someone is both happy and not curious.
If lucy is curious or old then fred is either humble or not creative and vice versa.
If someone is not wise or generous then lucy is either tall or creative and vice versa.
If someone is either wise or patient then someone is curious or no... | Alice is happy. | contradiction | ((?[X]:((humble(X)<~>funny(X))))=>(?[X]:((happy(X)&~curious(X)))))&
(((curious(lucy)|old(lucy)))<=>((humble(fred)<~>~creative(fred))))&
((?[X]:((~wise(X)|generous(X))))<=>((tall(lucy)<~>creative(lucy))))&
((?[X]:((wise(X)<~>patient(X))))=>(?[X]:((curious(X)|~humble(X)))))&
(![X]:((brave(X)&~humble(X))<=>(~funny(X)&crea... | happy(alice) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 85657933894520056893350
% SZS output start Proof for 85657933894520056893350
6. ! [X0] : (tall(X0) <=> happy(X0)) [input p5]
22. ~tall(alice) [input p21]
25. happy(alice) [input hypothesis]
54. ! [X0] : ((tall(X0) | ~happy(X0)) & (happy(X0) | ~tall(X0))) [nnf transformation 6]
115. ~happy... | 0 |
Everyone who is both not kind and kind is both not calm and strong and vice versa. If someone is curious or happy then someone is either not strong or tall. Everyone who is patient or not brave is both generous and old and vice versa. Everyone who is rich or quiet is patient and vice versa. Everyone who is either wise ... | Fred is creative. | entailment | (![X]:((~kind(X)&kind(X))<=>(~calm(X)&strong(X))))&
((?[X]:((curious(X)|happy(X))))=>(?[X]:((~strong(X)<~>tall(X)))))&
(![X]:((patient(X)|~brave(X))<=>(generous(X)&old(X))))&
(![X]:((rich(X)|quiet(X))<=>patient(X)))&
(![X]:((wise(X)<~>kind(X))=>(funny(X)|brave(X))))&
(![X]:((tall(X)&~happy(X))=>old(X)))&
(((kind(mary)<... | creative(fred) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4641801248461529885401406
% SZS output start Proof for 4641801248461529885401406
15. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~humble(X0) & wise(X0))) [input p14]
20. ~wise(fred) <~> creative(fred) [input p19]
25. ~creative(fred) [input hypothesis]
63. ! [X0] : (((curious(X0) | ~curiou... | 0 |
If john is either not brave or not wise then mary is strong or brave. Everyone who is not calm or not funny is not happy or not calm. Everyone who is rich or humble is creative or generous and vice versa. Everyone who is both not strong and not patient is not strong or funny and vice versa. Everyone who is patient or n... | Susan is not generous. | neutral | (((~brave(john)<~>~wise(john)))=>((strong(mary)|brave(mary))))&
(![X]:((~calm(X)|~funny(X))=>(~happy(X)|~calm(X))))&
(![X]:((rich(X)|humble(X))<=>(creative(X)|generous(X))))&
(![X]:((~strong(X)&~patient(X))<=>(~strong(X)|funny(X))))&
(![X]:((patient(X)|~curious(X))<=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))... | ~generous(susan) | [] | null | 0 |
Everyone who is either quiet or not happy is either not happy or brave. Everyone who is not kind is both quiet and not brave and vice versa. Everyone who is both strong and happy is rich or creative. If someone is both not old and not humble then lucy is creative. If someone is either not rich or not kind then someone ... | Mary is wise. | entailment | (![X]:((quiet(X)<~>~happy(X))=>(~happy(X)<~>brave(X))))&
(![X]:(~kind(X)<=>(quiet(X)&~brave(X))))&
(![X]:((strong(X)&happy(X))=>(rich(X)|creative(X))))&
((?[X]:((~old(X)&~humble(X))))=>(creative(lucy)))&
((?[X]:((~rich(X)<~>~kind(X))))<=>(?[X]:(happy(X))))&
((?[X]:((~tall(X)|~generous(X))))=>(~brave(paul)))&
(![X]:((~p... | wise(mary) | [
"p1",
"p8",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 673569960828184329048218
% SZS output start Proof for 673569960828184329048218
2. ! [X0] : (~kind(X0) <=> (~brave(X0) & quiet(X0))) [input p1]
9. ! [X0] : (~strong(X0) <=> (tall(X0) & ~tall(X0))) [input p8]
13. ! [X0] : ((~humble(X0) & patient(X0)) <=> (curious(X0) | strong(X0))) [input p... | 0 |
Everyone who is either not patient or tall is either old or not quiet.
If someone is tall or patient then someone is both not strong and not humble.
Everyone who is curious is either creative or not strong and vice versa.
Everyone who is brave is old or curious.
Everyone who is happy is both not quiet and not humble an... | Lucy is calm. | entailment | (![X]:((~patient(X)<~>tall(X))=>(old(X)<~>~quiet(X))))&
((?[X]:((tall(X)|patient(X))))=>(?[X]:((~strong(X)&~humble(X)))))&
(![X]:(curious(X)<=>(creative(X)<~>~strong(X))))&
(![X]:(brave(X)=>(old(X)|curious(X))))&
(![X]:(happy(X)<=>(~quiet(X)&~humble(X))))&
((?[X]:((~wise(X)<~>happy(X))))=>(?[X]:((patient(X)&wise(X)))))... | calm(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5186326096376500840570256
% SZS output start Proof for 5186326096376500840570256
20. calm(lucy) [input p19]
23. ~calm(lucy) [input hypothesis]
139. calm(lucy) [cnf transformation 20]
143. ~calm(lucy) [cnf transformation 23]
190. 11 <=> calm(lucy) [avatar definition]
244. 11 [avatar split ... | 0 |
Everyone who is not humble or brave is both not curious and patient and vice versa. If someone is both not brave and not tall then someone is not strong and vice versa. Everyone who is both not strong and strong is both calm and not humble and vice versa. Everyone who is not strong or not kind is both wise and not crea... | Fred is strong. | entailment | (![X]:((~humble(X)|brave(X))<=>(~curious(X)&patient(X))))&
((?[X]:((~brave(X)&~tall(X))))<=>(?[X]:(~strong(X))))&
(![X]:((~strong(X)&strong(X))<=>(calm(X)&~humble(X))))&
(![X]:((~strong(X)|~kind(X))<=>(wise(X)&~creative(X))))&
(![X]:((~calm(X)&rich(X))=>(wise(X)<~>old(X))))&
(![X]:((~rich(X)<~>old(X))=>~rich(X)))&
((ol... | strong(fred) | [
"p0",
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8307273077977530374592896
% SZS output start Proof for 8307273077977530374592896
1. ! [X0] : ((brave(X0) | ~humble(X0)) <=> (patient(X0) & ~curious(X0))) [input p0]
4. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (~creative(X0) & wise(X0))) [input p3]
11. ! [X0] : (creative(X0) <=> ~curious(X0... | 0 |
Everyone who is either not happy or not creative is strong or brave.
If someone is not brave or funny then someone is both not happy and not humble and vice versa.
Everyone who is not old or kind is both not calm and not generous and vice versa.
Everyone who is either not old or not creative is both quiet and funny and... | Lucy is kind. | entailment | (![X]:((~happy(X)<~>~creative(X))=>(strong(X)|brave(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:((~happy(X)&~humble(X)))))&
(![X]:((~old(X)|kind(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~old(X)<~>~creative(X))<=>(quiet(X)&funny(X))))&
((calm(mary))=>((~quiet(john)|creative(john))))&
((~wise(mary))=>(?[X]:(~curious(X)... | kind(lucy) | [
"p2",
"p3",
"p6",
"p7",
"p11",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3066298188462871309315831
% SZS output start Proof for 3066298188462871309315831
3. ! [X0] : ((kind(X0) | ~old(X0)) <=> (~generous(X0) & ~calm(X0))) [input p2]
4. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> (funny(X0) & quiet(X0))) [input p3]
7. ! [X0] : ((kind(X0) <~> ~tall(X0)) <=> (~cal... | 0 |
Everyone who is curious or not creative is not calm.
Everyone who is both kind and curious is not patient or not strong and vice versa.
Everyone who is either not old or curious is either not kind or brave and vice versa.
If susan is not curious then mary is tall.
If someone is not humble then someone is either calm or... | Susan is brave. | neutral | (![X]:((curious(X)|~creative(X))=>~calm(X)))&
(![X]:((kind(X)&curious(X))<=>(~patient(X)|~strong(X))))&
(![X]:((~old(X)<~>curious(X))<=>(~kind(X)<~>brave(X))))&
((~curious(susan))=>(tall(mary)))&
((?[X]:(~humble(X)))<=>(?[X]:((calm(X)<~>~creative(X)))))&
(![X]:((rich(X)&~generous(X))<=>~strong(X)))&
(![X]:(~calm(X)=>(o... | brave(susan) | [] | null | 0 |
If mary is either funny or not old then someone is humble and vice versa.
Everyone who is both not curious and not happy is wise.
Everyone who is both funny and not quiet is both funny and brave and vice versa.
Everyone who is both happy and patient is not calm.
If someone is either funny or not quiet then fred is not ... | Alice is curious. | neutral | (((funny(mary)<~>~old(mary)))<=>(?[X]:(humble(X))))&
(![X]:((~curious(X)&~happy(X))=>wise(X)))&
(![X]:((funny(X)&~quiet(X))<=>(funny(X)&brave(X))))&
(![X]:((happy(X)&patient(X))=>~calm(X)))&
((?[X]:((funny(X)<~>~quiet(X))))=>((~wise(fred)|strong(fred))))&
(![X]:((~wise(X)&~funny(X))<=>(~tall(X)|~rich(X))))&
((?[X]:((wi... | curious(alice) | [] | null | 0 |
Everyone who is both strong and not tall is either brave or not happy. Everyone who is either creative or strong is not rich or not humble. Everyone who is generous is either not curious or humble and vice versa. If john is not creative or not funny then someone is both not funny and strong and vice versa. Everyone who... | Mary is patient. | neutral | (![X]:((strong(X)&~tall(X))=>(brave(X)<~>~happy(X))))&
(![X]:((creative(X)<~>strong(X))=>(~rich(X)|~humble(X))))&
(![X]:(generous(X)<=>(~curious(X)<~>humble(X))))&
(((~creative(john)|~funny(john)))<=>(?[X]:((~funny(X)&strong(X)))))&
(![X]:((~generous(X)&~brave(X))<=>(~humble(X)&calm(X))))&
(![X]:(creative(X)<=>~brave(X... | patient(mary) | [] | null | 0 |
If someone is both brave and not creative then paul is not funny or not quiet and vice versa. Everyone who is humble or not kind is both not funny and brave and vice versa. Everyone who is rich or not humble is both happy and old. If lucy is curious or wise then someone is either not tall or not brave and vice versa. I... | Alice is not curious. | neutral | ((?[X]:((brave(X)&~creative(X))))<=>((~funny(paul)|~quiet(paul))))&
(![X]:((humble(X)|~kind(X))<=>(~funny(X)&brave(X))))&
(![X]:((rich(X)|~humble(X))=>(happy(X)&old(X))))&
(((curious(lucy)|wise(lucy)))<=>(?[X]:((~tall(X)<~>~brave(X)))))&
((?[X]:((old(X)|~strong(X))))=>(?[X]:((generous(X)<~>humble(X)))))&
(![X]:((~quiet... | ~curious(alice) | [] | null | 0 |
If someone is generous then paul is not brave and vice versa. Everyone who is not strong or not old is not generous and vice versa. Everyone who is calm is either not wise or not kind and vice versa. If lucy is not tall or funny then susan is either not humble or funny. Everyone who is not calm or not curious is kind. ... | Fred is calm. | entailment | ((?[X]:(generous(X)))<=>(~brave(paul)))&
(![X]:((~strong(X)|~old(X))<=>~generous(X)))&
(![X]:(calm(X)<=>(~wise(X)<~>~kind(X))))&
(((~tall(lucy)|funny(lucy)))=>((~humble(susan)<~>funny(susan))))&
(![X]:((~calm(X)|~curious(X))=>kind(X)))&
((?[X]:((~quiet(X)&patient(X))))<=>(patient(fred)))&
(((quiet(john)&old(john)))<=>(... | calm(fred) | [
"p2",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3688317281267326913939200
% SZS output start Proof for 3688317281267326913939200
3. ! [X0] : (calm(X0) <=> (~wise(X0) <~> ~kind(X0))) [input p2]
16. ! [X0] : ((funny(X0) | wise(X0)) => ~kind(X0)) [input p15]
17. kind(fred) [input p16]
24. ~calm(fred) [input hypothesis]
30. ! [X0] : (~kind... | 0 |
If someone is both strong and not happy then someone is both not brave and not tall and vice versa.
Everyone who is either creative or wise is both brave and not creative and vice versa.
Everyone who is either generous or not rich is either quiet or rich and vice versa.
Everyone who is not calm is either quiet or not p... | Lucy is not wise. | contradiction | ((?[X]:((strong(X)&~happy(X))))<=>(?[X]:((~brave(X)&~tall(X)))))&
(![X]:((creative(X)<~>wise(X))<=>(brave(X)&~creative(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(quiet(X)<~>rich(X))))&
(![X]:(~calm(X)=>(quiet(X)<~>~patient(X))))&
(![X]:(~creative(X)=>(strong(X)|rich(X))))&
(![X]:((~old(X)|generous(X))=>(happy(X)&quiet(X... | ~wise(lucy) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8344202719512291817305438
% SZS output start Proof for 8344202719512291817305438
2. ! [X0] : ((creative(X0) <~> wise(X0)) <=> (~creative(X0) & brave(X0))) [input p1]
14. ! [X0] : (~rich(X0) <=> (brave(X0) | rich(X0))) [input p13]
23. ~wise(lucy) [input hypothesis]
47. ! [X0] : ((((~wise(X... | 0 |
Everyone who is not kind is either not tall or not calm and vice versa. Everyone who is both patient and rich is not calm or calm. Everyone who is either not old or not kind is both wise and not tall. Everyone who is both not wise and not humble is both tall and not happy and vice versa. Everyone who is not brave is cu... | John is old. | entailment | (![X]:(~kind(X)<=>(~tall(X)<~>~calm(X))))&
(![X]:((patient(X)&rich(X))=>(~calm(X)|calm(X))))&
(![X]:((~old(X)<~>~kind(X))=>(wise(X)&~tall(X))))&
(![X]:((~wise(X)&~humble(X))<=>(tall(X)&~happy(X))))&
(![X]:(~brave(X)=>(curious(X)|brave(X))))&
((?[X]:((~calm(X)&~patient(X))))<=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:((~cur... | old(john) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 840803857724938858945491
% SZS output start Proof for 840803857724938858945491
8. ! [X0] : (~curious(X0) => (old(X0) & creative(X0))) [input p7]
10. ! [X0] : ((old(X0) & curious(X0)) <=> (~wise(X0) | curious(X0))) [input p9]
23. ~old(john) [input hypothesis]
34. ! [X0] : ((old(X0) & creat... | 0 |
Everyone who is tall is both kind and strong. Everyone who is either not brave or curious is both patient and brave. Everyone who is both happy and patient is not brave. Everyone who is brave or rich is not creative and vice versa. If alice is either not generous or not brave then someone is both wise and not brave and... | Lucy is not humble. | neutral | (![X]:(tall(X)=>(kind(X)&strong(X))))&
(![X]:((~brave(X)<~>curious(X))=>(patient(X)&brave(X))))&
(![X]:((happy(X)&patient(X))=>~brave(X)))&
(![X]:((brave(X)|rich(X))<=>~creative(X)))&
(((~generous(alice)<~>~brave(alice)))<=>(?[X]:((wise(X)&~brave(X)))))&
(((brave(paul)|curious(paul)))<=>((~curious(lucy)|quiet(lucy))))&... | ~humble(lucy) | [] | null | 0 |
Everyone who is both creative and not happy is either patient or creative and vice versa.
If someone is both not funny and not tall then someone is not funny and vice versa.
Everyone who is not happy is both old and not kind and vice versa.
If someone is wise then someone is either not curious or not happy and vice ver... | John is not happy. | neutral | (![X]:((creative(X)&~happy(X))<=>(patient(X)<~>creative(X))))&
((?[X]:((~funny(X)&~tall(X))))<=>(?[X]:(~funny(X))))&
(![X]:(~happy(X)<=>(old(X)&~kind(X))))&
((?[X]:(wise(X)))<=>(?[X]:((~curious(X)<~>~happy(X)))))&
(((generous(mary)|~wise(mary)))=>(?[X]:((happy(X)<~>~funny(X)))))&
(((wise(paul)&quiet(paul)))=>(?[X]:((ri... | ~happy(john) | [] | null | 0 |
Everyone who is not generous or patient is generous or kind.
Everyone who is both creative and not brave is not funny or not rich.
If susan is both funny and curious then someone is either not kind or not funny and vice versa.
Everyone who is either not happy or kind is not funny and vice versa.
Everyone who is not gen... | Fred is not brave. | neutral | (![X]:((~generous(X)|patient(X))=>(generous(X)|kind(X))))&
(![X]:((creative(X)&~brave(X))=>(~funny(X)|~rich(X))))&
(((funny(susan)&curious(susan)))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:((~happy(X)<~>kind(X))<=>~funny(X)))&
(![X]:((~generous(X)|tall(X))=>(~patient(X)|kind(X))))&
(![X]:((~calm(X)&~generous(X))<=>(~c... | ~brave(fred) | [] | null | 0 |
If fred is creative then someone is strong and vice versa.
If alice is both curious and calm then someone is either not creative or not quiet and vice versa.
If someone is old or quiet then someone is old.
Everyone who is old or humble is both kind and generous.
Everyone who is both brave and strong is either old or br... | Mary is not quiet. | contradiction | ((creative(fred))<=>(?[X]:(strong(X))))&
(((curious(alice)&calm(alice)))<=>(?[X]:((~creative(X)<~>~quiet(X)))))&
((?[X]:((old(X)|quiet(X))))=>(?[X]:(old(X))))&
(![X]:((old(X)|humble(X))=>(kind(X)&generous(X))))&
(![X]:((brave(X)&strong(X))<=>(old(X)<~>brave(X))))&
((?[X]:(happy(X)))<=>((~calm(mary)|brave(mary))))&
(((~... | ~quiet(mary) | [
"p1",
"p9",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8985188990739698076567954
% SZS output start Proof for 8985188990739698076567954
2. (calm(alice) & curious(alice)) <=> ? [X0] : (~creative(X0) <~> ~quiet(X0)) [input p1]
10. ! [X0] : (calm(X0) => (~quiet(X0) & ~wise(X0))) [input p9]
18. quiet(alice) [input p17]
24. creative(mary) [input p... | 0 |
If someone is both not wise and tall then someone is not humble. If susan is both tall and calm then someone is both happy and not patient and vice versa. If someone is either not happy or not creative then someone is not humble. If someone is funny then someone is not old and vice versa. Everyone who is both not funny... | John is happy. | contradiction | ((?[X]:((~wise(X)&tall(X))))=>(?[X]:(~humble(X))))&
(((tall(susan)&calm(susan)))<=>(?[X]:((happy(X)&~patient(X)))))&
((?[X]:((~happy(X)<~>~creative(X))))=>(?[X]:(~humble(X))))&
((?[X]:(funny(X)))<=>(?[X]:(~old(X))))&
(![X]:((~funny(X)&patient(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>((~curious(lucy)|patient(lucy)))... | happy(john) | [
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 700368218033564008781192
% SZS output start Proof for 700368218033564008781192
9. ! [X0] : ((happy(X0) | ~brave(X0)) <=> (generous(X0) & ~old(X0))) [input p8]
22. ~funny(john) & old(john) [input p21]
25. happy(john) [input hypothesis]
67. ! [X0] : (((happy(X0) | ~brave(X0)) | (~generous(X... | 0 |
Everyone who is both rich and not brave is not old or old. Everyone who is both funny and kind is both humble and not funny and vice versa. If someone is both not generous and rich then someone is generous. If lucy is both not creative and brave then fred is both quiet and funny. If paul is both not brave and old then ... | Fred is kind. | contradiction | (![X]:((rich(X)&~brave(X))=>(~old(X)|old(X))))&
(![X]:((funny(X)&kind(X))<=>(humble(X)&~funny(X))))&
((?[X]:((~generous(X)&rich(X))))=>(?[X]:(generous(X))))&
(((~creative(lucy)&brave(lucy)))=>((quiet(fred)&funny(fred))))&
(((~brave(paul)&old(paul)))<=>(?[X]:((~old(X)|~calm(X)))))&
(![X]:(~tall(X)=>~kind(X)))&
(![X]:(hu... | kind(fred) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1625484474849761331510534
% SZS output start Proof for 1625484474849761331510534
2. ! [X0] : ((kind(X0) & funny(X0)) <=> (~funny(X0) & humble(X0))) [input p1]
7. ! [X0] : (humble(X0) <=> (happy(X0) | ~happy(X0))) [input p6]
21. kind(fred) [input hypothesis]
32. ! [X0] : (((kind(X0) & funn... | 0 |
If someone is old then lucy is either tall or humble.
Everyone who is either humble or not old is not calm or not patient.
Everyone who is both not rich and old is either tall or not happy and vice versa.
If fred is wise then someone is brave and vice versa.
Everyone who is happy or not quiet is both not humble and not... | Lucy is not humble. | contradiction | ((?[X]:(old(X)))=>((tall(lucy)<~>humble(lucy))))&
(![X]:((humble(X)<~>~old(X))=>(~calm(X)|~patient(X))))&
(![X]:((~rich(X)&old(X))<=>(tall(X)<~>~happy(X))))&
((wise(fred))<=>(?[X]:(brave(X))))&
(![X]:((happy(X)|~quiet(X))=>(~humble(X)&~tall(X))))&
(![X]:(~rich(X)<=>(funny(X)<~>~patient(X))))&
(![X]:((humble(X)|quiet(X)... | ~humble(lucy) | [
"p0",
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6034049886811366137476176
% SZS output start Proof for 6034049886811366137476176
1. ? [X0] : old(X0) => (tall(lucy) <~> humble(lucy)) [input p0]
5. ! [X0] : ((~quiet(X0) | happy(X0)) => (~tall(X0) & ~humble(X0))) [input p4]
9. ! [X0] : ((~patient(X0) <~> ~happy(X0)) <=> (~patient(X0) <~> ... | 0 |
Everyone who is happy or not kind is old. Everyone who is both not brave and kind is not tall. Everyone who is both not strong and not creative is both wise and not curious. Everyone who is either not rich or calm is either not wise or wise and vice versa. Everyone who is strong is not quiet or not patient and vice ver... | Fred is brave. | contradiction | (![X]:((happy(X)|~kind(X))=>old(X)))&
(![X]:((~brave(X)&kind(X))=>~tall(X)))&
(![X]:((~strong(X)&~creative(X))=>(wise(X)&~curious(X))))&
(![X]:((~rich(X)<~>calm(X))<=>(~wise(X)<~>wise(X))))&
(![X]:(strong(X)<=>(~quiet(X)|~patient(X))))&
((?[X]:((old(X)&~brave(X))))<=>(?[X]:((~happy(X)<~>~brave(X)))))&
((?[X]:(~rich(X))... | brave(fred) | [
"p3",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 277469350368976270332584
% SZS output start Proof for 277469350368976270332584
4. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> (~wise(X0) <~> wise(X0))) [input p3]
5. ! [X0] : (strong(X0) <=> (~patient(X0) | ~quiet(X0))) [input p4]
8. ! [X0] : ((patient(X0) | ~brave(X0)) <=> rich(X0)) [input p7... | 0 |
Everyone who is either not generous or not strong is rich or not wise. If mary is generous then susan is calm or strong and vice versa. Everyone who is either happy or not generous is not calm or humble. Everyone who is not curious or not tall is old or not strong and vice versa. Everyone who is humble is both not calm... | Alice is curious. | neutral | (![X]:((~generous(X)<~>~strong(X))=>(rich(X)|~wise(X))))&
((generous(mary))<=>((calm(susan)|strong(susan))))&
(![X]:((happy(X)<~>~generous(X))=>(~calm(X)|humble(X))))&
(![X]:((~curious(X)|~tall(X))<=>(old(X)|~strong(X))))&
(![X]:(humble(X)<=>(~calm(X)&~quiet(X))))&
(![X]:((generous(X)|~humble(X))<=>(kind(X)<~>~old(X)))... | curious(alice) | [] | null | 0 |
If lucy is not brave then mary is either not tall or creative and vice versa.
Everyone who is kind is both not tall and not brave and vice versa.
If someone is either not quiet or tall then someone is both not creative and patient and vice versa.
If someone is both not quiet and patient then someone is both not patient... | Paul is generous. | neutral | ((~brave(lucy))<=>((~tall(mary)<~>creative(mary))))&
(![X]:(kind(X)<=>(~tall(X)&~brave(X))))&
((?[X]:((~quiet(X)<~>tall(X))))<=>(?[X]:((~creative(X)&patient(X)))))&
((?[X]:((~quiet(X)&patient(X))))=>(?[X]:((~patient(X)&~brave(X)))))&
(![X]:(~happy(X)<=>(~brave(X)|happy(X))))&
((?[X]:((~curious(X)&~calm(X))))=>((wise(su... | generous(paul) | [] | null | 0 |
Everyone who is not strong is generous. Everyone who is calm or patient is either not creative or not strong. Everyone who is not humble is not calm or old. If someone is generous or not quiet then someone is both tall and happy. If someone is either not brave or calm then lucy is humble or curious. If john is not stro... | Alice is tall. | neutral | (![X]:(~strong(X)=>generous(X)))&
(![X]:((calm(X)|patient(X))=>(~creative(X)<~>~strong(X))))&
(![X]:(~humble(X)=>(~calm(X)|old(X))))&
((?[X]:((generous(X)|~quiet(X))))=>(?[X]:((tall(X)&happy(X)))))&
((?[X]:((~brave(X)<~>calm(X))))=>((humble(lucy)|curious(lucy))))&
((~strong(john))<=>((rich(john)|old(john))))&
(![X]:((~... | tall(alice) | [] | null | 0 |
Everyone who is both generous and not curious is rich and vice versa.
If someone is either kind or not strong then fred is either not strong or not generous.
Everyone who is old or patient is calm or not old.
Everyone who is both happy and not calm is both not funny and not patient and vice versa.
If someone is rich or... | Fred is old. | contradiction | (![X]:((generous(X)&~curious(X))<=>rich(X)))&
((?[X]:((kind(X)<~>~strong(X))))=>((~strong(fred)<~>~generous(fred))))&
(![X]:((old(X)|patient(X))=>(calm(X)|~old(X))))&
(![X]:((happy(X)&~calm(X))<=>(~funny(X)&~patient(X))))&
((?[X]:((rich(X)|~brave(X))))=>(?[X]:((calm(X)&strong(X)))))&
(((~wise(lucy)<~>old(lucy)))<=>(?[X... | old(fred) | [
"p2",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1870289622352893676227316
% SZS output start Proof for 1870289622352893676227316
3. ! [X0] : ((patient(X0) | old(X0)) => (~old(X0) | calm(X0))) [input p2]
9. ! [X0] : ((~creative(X0) | calm(X0)) <=> (~patient(X0) & generous(X0))) [input p8]
12. ! [X0] : (strong(X0) <=> ~patient(X0)) [inpu... | 0 |
If someone is not humble or not creative then someone is both curious and not old.
Everyone who is either not rich or not quiet is either calm or not old and vice versa.
If someone is either generous or not curious then fred is patient or tall and vice versa.
If fred is either humble or old then someone is quiet or not... | Fred is not kind. | entailment | ((?[X]:((~humble(X)|~creative(X))))=>(?[X]:((curious(X)&~old(X)))))&
(![X]:((~rich(X)<~>~quiet(X))<=>(calm(X)<~>~old(X))))&
((?[X]:((generous(X)<~>~curious(X))))<=>((patient(fred)|tall(fred))))&
(((humble(fred)<~>old(fred)))<=>(?[X]:((quiet(X)|~patient(X)))))&
(![X]:((brave(X)<~>kind(X))<=>(quiet(X)|curious(X))))&
(![X... | ~kind(fred) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1453963414893656877725230
% SZS output start Proof for 1453963414893656877725230
1. ? [X0] : (~creative(X0) | ~humble(X0)) => ? [X0] : (~old(X0) & curious(X0)) [input p0]
4. (humble(fred) <~> old(fred)) <=> ? [X0] : (~patient(X0) | quiet(X0)) [input p3]
5. ! [X0] : ((brave(X0) <~> kind(X0... | 0 |
Everyone who is either not tall or old is both wise and kind and vice versa. If someone is either not wise or not tall then paul is either brave or not wise and vice versa. Everyone who is both not happy and not creative is not old. Everyone who is not rich or not curious is not old or calm. Everyone who is not generou... | Paul is strong. | neutral | (![X]:((~tall(X)<~>old(X))<=>(wise(X)&kind(X))))&
((?[X]:((~wise(X)<~>~tall(X))))<=>((brave(paul)<~>~wise(paul))))&
(![X]:((~happy(X)&~creative(X))=>~old(X)))&
(![X]:((~rich(X)|~curious(X))=>(~old(X)|calm(X))))&
(![X]:((~generous(X)|strong(X))=>creative(X)))&
(![X]:((creative(X)|~funny(X))=>quiet(X)))&
(![X]:((happy(X)... | strong(paul) | [] | null | 0 |
If john is strong then lucy is tall or not kind.
If john is either tall or not rich then someone is not quiet and vice versa.
If fred is both not patient and wise then susan is not generous and vice versa.
If someone is not creative then someone is old.
Everyone who is tall is both not kind and not generous.
If someone... | Fred is not generous. | entailment | ((strong(john))=>((tall(lucy)|~kind(lucy))))&
(((tall(john)<~>~rich(john)))<=>(?[X]:(~quiet(X))))&
(((~patient(fred)&wise(fred)))<=>(~generous(susan)))&
((?[X]:(~creative(X)))=>(?[X]:(old(X))))&
(![X]:(tall(X)=>(~kind(X)&~generous(X))))&
((?[X]:((humble(X)|patient(X))))<=>(?[X]:((~tall(X)|~wise(X)))))&
(![X]:((patient(... | ~generous(fred) | [
"p6",
"p7",
"p13",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8195514748805482694355940
% SZS output start Proof for 8195514748805482694355940
7. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> (generous(X0) | curious(X0))) [input p6]
8. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (creative(X0) & ~patient(X0))) [input p7]
14. ! [X0] : ((~funny(X0) | ~strong(X... | 0 |
If alice is not brave then someone is either patient or not patient.
Everyone who is both not tall and strong is both wise and curious.
If someone is both not happy and not generous then fred is not happy.
If paul is not funny or not patient then someone is both calm and not rich.
Everyone who is rich is both not funny... | John is creative. | entailment | ((~brave(alice))=>(?[X]:((patient(X)<~>~patient(X)))))&
(![X]:((~tall(X)&strong(X))=>(wise(X)&curious(X))))&
((?[X]:((~happy(X)&~generous(X))))=>(~happy(fred)))&
(((~funny(paul)|~patient(paul)))=>(?[X]:((calm(X)&~rich(X)))))&
(![X]:(rich(X)=>(~funny(X)&curious(X))))&
(![X]:(~curious(X)=>~funny(X)))&
(![X]:((brave(X)|~t... | creative(john) | [
"p6",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6409869514461705479763924
% SZS output start Proof for 6409869514461705479763924
7. ! [X0] : ((~tall(X0) | brave(X0)) => (creative(X0) <~> ~strong(X0))) [input p6]
13. ! [X0] : ((funny(X0) | ~brave(X0)) => (~old(X0) & creative(X0))) [input p12]
24. strong(john) [input p23]
25. ~creative(j... | 0 |
If someone is either not rich or generous then fred is happy and vice versa. If someone is not happy then lucy is either tall or not generous and vice versa. Everyone who is kind or wise is generous and vice versa. If someone is not strong then lucy is either not old or not curious and vice versa. Everyone who is both ... | Fred is not strong. | contradiction | ((?[X]:((~rich(X)<~>generous(X))))<=>(happy(fred)))&
((?[X]:(~happy(X)))<=>((tall(lucy)<~>~generous(lucy))))&
(![X]:((kind(X)|wise(X))<=>generous(X)))&
((?[X]:(~strong(X)))<=>((~old(lucy)<~>~curious(lucy))))&
(![X]:((curious(X)&kind(X))<=>(curious(X)|patient(X))))&
(![X]:((humble(X)|creative(X))=>(strong(X)&brave(X))))... | ~strong(fred) | [
"p3",
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5229130893228259057805312
% SZS output start Proof for 5229130893228259057805312
4. ? [X0] : ~strong(X0) <=> (~old(lucy) <~> ~curious(lucy)) [input p3]
6. ! [X0] : ((creative(X0) | humble(X0)) => (brave(X0) & strong(X0))) [input p5]
9. ! [X0] : (strong(X0) => (~curious(X0) <~> old(X0))) [... | 0 |
Everyone who is tall is either not rich or happy and vice versa.
If alice is both old and not wise then someone is both old and calm and vice versa.
If someone is both not tall and not curious then someone is not brave.
If susan is old or generous then someone is both old and not rich.
Everyone who is not patient is no... | Susan is wise. | entailment | (![X]:(tall(X)<=>(~rich(X)<~>happy(X))))&
(((old(alice)&~wise(alice)))<=>(?[X]:((old(X)&calm(X)))))&
((?[X]:((~tall(X)&~curious(X))))=>(?[X]:(~brave(X))))&
(((old(susan)|generous(susan)))=>(?[X]:((old(X)&~rich(X)))))&
(![X]:(~patient(X)<=>(~quiet(X)|humble(X))))&
(![X]:(~funny(X)=>(calm(X)|kind(X))))&
(![X]:(~patient(X... | wise(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2155930163818974931687253
% SZS output start Proof for 2155930163818974931687253
10. ! [X0] : ((generous(X0) | ~wise(X0)) <=> (~brave(X0) & wise(X0))) [input p9]
25. ~wise(susan) [input hypothesis]
53. ! [X0] : (((generous(X0) | ~wise(X0)) | (brave(X0) | ~wise(X0))) & ((~brave(X0) & wise(... | 0 |
Everyone who is both brave and not calm is kind or tall and vice versa.
Everyone who is curious or not kind is creative.
If someone is not strong then someone is either rich or quiet and vice versa.
Everyone who is either not curious or old is strong or not kind.
Everyone who is both humble and old is generous and vice... | Mary is creative. | entailment | (![X]:((brave(X)&~calm(X))<=>(kind(X)|tall(X))))&
(![X]:((curious(X)|~kind(X))=>creative(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:((~curious(X)<~>old(X))=>(strong(X)|~kind(X))))&
(![X]:((humble(X)&old(X))<=>generous(X)))&
(![X]:((patient(X)<~>~old(X))<=>(~quiet(X)|brave(X))))&
((?[X]:((rich(X)... | creative(mary) | [
"p0",
"p1",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 603195444162156158549480
% SZS output start Proof for 603195444162156158549480
1. ! [X0] : ((~calm(X0) & brave(X0)) <=> (tall(X0) | kind(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | curious(X0)) => creative(X0)) [input p1]
8. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (~old(X0) | old(X0))) [inp... | 0 |
Everyone who is both curious and wise is happy.
If john is either quiet or not rich then mary is not wise or creative and vice versa.
Everyone who is brave or old is both not happy and not old.
If john is either wise or not calm then susan is calm.
Everyone who is funny is either rich or not tall.
Everyone who is humbl... | Lucy is not generous. | neutral | (![X]:((curious(X)&wise(X))=>happy(X)))&
(((quiet(john)<~>~rich(john)))<=>((~wise(mary)|creative(mary))))&
(![X]:((brave(X)|old(X))=>(~happy(X)&~old(X))))&
(((wise(john)<~>~calm(john)))=>(calm(susan)))&
(![X]:(funny(X)=>(rich(X)<~>~tall(X))))&
(![X]:((humble(X)|calm(X))<=>(rich(X)|~wise(X))))&
((?[X]:(humble(X)))<=>(~q... | ~generous(lucy) | [] | null | 0 |
If fred is either brave or not humble then mary is both curious and patient.
If fred is both tall and not happy then fred is both quiet and not quiet and vice versa.
Everyone who is not funny is not humble or tall and vice versa.
If lucy is both not patient and not quiet then someone is both calm and not funny and vice... | Alice is not wise. | neutral | (((brave(fred)<~>~humble(fred)))=>((curious(mary)&patient(mary))))&
(((tall(fred)&~happy(fred)))<=>((quiet(fred)&~quiet(fred))))&
(![X]:(~funny(X)<=>(~humble(X)|tall(X))))&
(((~patient(lucy)&~quiet(lucy)))<=>(?[X]:((calm(X)&~funny(X)))))&
(![X]:(curious(X)=>(~rich(X)<~>strong(X))))&
(![X]:((patient(X)<~>curious(X))<=>(... | ~wise(alice) | [] | null | 0 |
If susan is tall or wise then someone is not humble or rich.
If someone is not creative or calm then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and not creative.
Everyone who is not old is old or not rich.
Everyon... | Fred is old. | entailment | (((tall(susan)|wise(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
((?[X]:((~creative(X)|calm(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(~old(X)|~quiet(X)... | old(fred) | [
"p3",
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7158569742431103240431277
% SZS output start Proof for 7158569742431103240431277
4. ! [X0] : (~rich(X0) => (~creative(X0) & ~calm(X0))) [input p3]
5. ! [X0] : (~old(X0) => (~rich(X0) | old(X0))) [input p4]
10. ! [X0] : ((quiet(X0) & wise(X0)) <=> (~quiet(X0) <~> calm(X0))) [input p9]
15. ... | 0 |
If someone is either not creative or happy then lucy is not creative and vice versa.
If john is not quiet or brave then paul is either not rich or curious and vice versa.
Everyone who is quiet is not calm and vice versa.
If paul is not curious or tall then someone is either curious or rich and vice versa.
Everyone who ... | Alice is not rich. | entailment | ((?[X]:((~creative(X)<~>happy(X))))<=>(~creative(lucy)))&
(((~quiet(john)|brave(john)))<=>((~rich(paul)<~>curious(paul))))&
(![X]:(quiet(X)<=>~calm(X)))&
(((~curious(paul)|tall(paul)))<=>(?[X]:((curious(X)<~>rich(X)))))&
(![X]:((rich(X)<~>tall(X))=>(wise(X)<~>~creative(X))))&
(![X]:((humble(X)|rich(X))<=>funny(X)))&
(!... | ~rich(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 28343590896868301882771
% SZS output start Proof for 28343590896868301882771
7. ! [X0] : (tall(X0) <=> (rich(X0) & ~tall(X0))) [input p6]
25. rich(alice) [input hypothesis]
50. ! [X0] : ((tall(X0) | (~rich(X0) | tall(X0))) & ((rich(X0) & ~tall(X0)) | ~tall(X0))) [nnf transformation 7]
51.... | 0 |
If someone is both not strong and calm then paul is both not wise and not rich and vice versa.
Everyone who is both not wise and generous is brave or not funny and vice versa.
Everyone who is not tall is quiet or not happy and vice versa.
If paul is rich then mary is both wise and not kind.
Everyone who is not happy is... | Paul is funny. | entailment | ((?[X]:((~strong(X)&calm(X))))<=>((~wise(paul)&~rich(paul))))&
(![X]:((~wise(X)&generous(X))<=>(brave(X)|~funny(X))))&
(![X]:(~tall(X)<=>(quiet(X)|~happy(X))))&
((rich(paul))=>((wise(mary)&~kind(mary))))&
(![X]:(~happy(X)<=>generous(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>(?[X]:((curious(X)&~calm(X)))))&
(![X]:((~brav... | funny(paul) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6893968626387160442477491
% SZS output start Proof for 6893968626387160442477491
1. ? [X0] : (calm(X0) & ~strong(X0)) <=> (~rich(paul) & ~wise(paul)) [input p0]
2. ! [X0] : ((generous(X0) & ~wise(X0)) <=> (~funny(X0) | brave(X0))) [input p1]
3. ! [X0] : (~tall(X0) <=> (~happy(X0) | quiet(... | 0 |
If someone is either not calm or not strong then someone is not rich and vice versa.
If someone is either not curious or creative then fred is tall or strong and vice versa.
Everyone who is not strong or strong is tall.
Everyone who is either patient or funny is not humble or not funny.
Everyone who is both not kind an... | Alice is tall. | entailment | ((?[X]:((~calm(X)<~>~strong(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((~curious(X)<~>creative(X))))<=>((tall(fred)|strong(fred))))&
(![X]:((~strong(X)|strong(X))=>tall(X)))&
(![X]:((patient(X)<~>funny(X))=>(~humble(X)|~funny(X))))&
(![X]:((~kind(X)&happy(X))<=>(tall(X)&~calm(X))))&
((?[X]:((~patient(X)&~funny(X))))=>(~patien... | tall(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2947063748837752343298942
% SZS output start Proof for 2947063748837752343298942
3. ! [X0] : ((strong(X0) | ~strong(X0)) => tall(X0)) [input p2]
24. ~tall(alice) [input hypothesis]
30. ! [X0] : (tall(X0) | (~strong(X0) & strong(X0))) [ennf transformation 3]
83. tall(X0) | strong(X0) [cnf ... | 0 |
If mary is happy then susan is either rich or not old and vice versa.
If susan is humble then someone is not funny or not patient and vice versa.
Everyone who is either not tall or brave is either happy or not wise.
If lucy is both not wise and not humble then fred is happy and vice versa.
If mary is tall then someone ... | John is not quiet. | contradiction | ((happy(mary))<=>((rich(susan)<~>~old(susan))))&
((humble(susan))<=>(?[X]:((~funny(X)|~patient(X)))))&
(![X]:((~tall(X)<~>brave(X))=>(happy(X)<~>~wise(X))))&
(((~wise(lucy)&~humble(lucy)))<=>(happy(fred)))&
((tall(mary))=>(?[X]:((wise(X)&~quiet(X)))))&
(![X]:((~curious(X)|~brave(X))<=>(~rich(X)<~>curious(X))))&
(![X]:(... | ~quiet(john) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 98222897599405620646372
% SZS output start Proof for 98222897599405620646372
8. ! [X0] : (~quiet(X0) => rich(X0)) [input p7]
10. ! [X0] : ((~wise(X0) | rich(X0)) <=> quiet(X0)) [input p9]
25. ~quiet(john) [input hypothesis]
29. ! [X0] : (rich(X0) | quiet(X0)) [ennf transformation 8]
53. !... | 0 |
If someone is both not curious and not brave then someone is tall or not humble.
Everyone who is both quiet and not funny is not kind.
Everyone who is either creative or not quiet is curious.
If mary is both not strong and not rich then someone is generous.
Everyone who is not curious or happy is not curious.
Everyone ... | Lucy is not happy. | entailment | ((?[X]:((~curious(X)&~brave(X))))=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:((quiet(X)&~funny(X))=>~kind(X)))&
(![X]:((creative(X)<~>~quiet(X))=>curious(X)))&
(((~strong(mary)&~rich(mary)))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|happy(X))=>~curious(X)))&
(![X]:(patient(X)=>creative(X)))&
(![X]:((happy(X)&~creative(X)... | ~happy(lucy) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5953954665892673280340213
% SZS output start Proof for 5953954665892673280340213
5. ! [X0] : ((happy(X0) | ~curious(X0)) => ~curious(X0)) [input p4]
9. ! [X0] : ((~brave(X0) <~> ~curious(X0)) <=> ~brave(X0)) [input p8]
23. happy(lucy) [input hypothesis]
31. ! [X0] : (~curious(X0) | (~happ... | 0 |
If someone is calm then john is strong. Everyone who is not wise or wise is both not patient and not brave. Everyone who is not quiet is not calm. If mary is not wise then someone is funny or kind. If someone is both not old and funny then someone is wise or funny and vice versa. Everyone who is both not rich and quiet... | John is not kind. | neutral | ((?[X]:(calm(X)))=>(strong(john)))&
(![X]:((~wise(X)|wise(X))=>(~patient(X)&~brave(X))))&
(![X]:(~quiet(X)=>~calm(X)))&
((~wise(mary))=>(?[X]:((funny(X)|kind(X)))))&
((?[X]:((~old(X)&funny(X))))<=>(?[X]:((wise(X)|funny(X)))))&
(![X]:((~rich(X)&quiet(X))=>(~tall(X)|funny(X))))&
((?[X]:((~happy(X)&~generous(X))))<=>(?[X]... | ~kind(john) | [] | null | 0 |
Everyone who is not kind or calm is both kind and not rich. Everyone who is wise or not curious is either not creative or strong. Everyone who is not strong is strong or funny and vice versa. Everyone who is both wise and not tall is both strong and not wise. Everyone who is patient is happy or funny and vice versa. If... | Alice is patient. | entailment | (![X]:((~kind(X)|calm(X))=>(kind(X)&~rich(X))))&
(![X]:((wise(X)|~curious(X))=>(~creative(X)<~>strong(X))))&
(![X]:(~strong(X)<=>(strong(X)|funny(X))))&
(![X]:((wise(X)&~tall(X))=>(strong(X)&~wise(X))))&
(![X]:(patient(X)<=>(happy(X)|funny(X))))&
((?[X]:((~happy(X)|~humble(X))))<=>(?[X]:((brave(X)&funny(X)))))&
(![X]:(... | patient(alice) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3384565533217530159121528
% SZS output start Proof for 3384565533217530159121528
3. ! [X0] : (~strong(X0) <=> (funny(X0) | strong(X0))) [input p2]
5. ! [X0] : (patient(X0) <=> (funny(X0) | happy(X0))) [input p4]
21. ~patient(alice) [input hypothesis]
34. ! [X0] : ((~strong(X0) | (~funny(X... | 0 |
If someone is both wise and rich then mary is both humble and rich. If someone is happy then alice is not brave. Everyone who is not wise or not brave is brave and vice versa. If someone is either happy or not tall then someone is both happy and calm. Everyone who is both not creative and not wise is strong or not kind... | John is not humble. | neutral | ((?[X]:((wise(X)&rich(X))))=>((humble(mary)&rich(mary))))&
((?[X]:(happy(X)))=>(~brave(alice)))&
(![X]:((~wise(X)|~brave(X))<=>brave(X)))&
((?[X]:((happy(X)<~>~tall(X))))=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((~creative(X)&~wise(X))<=>(strong(X)|~kind(X))))&
(((humble(paul)|brave(paul)))=>((humble(alice)|wise(alice))))... | ~humble(john) | [] | null | 0 |
If someone is not calm or brave then lucy is not funny.
Everyone who is either not strong or tall is either not happy or not quiet.
Everyone who is rich or generous is not patient and vice versa.
Everyone who is either not patient or not tall is not kind and vice versa.
Everyone who is rich is both not patient and not ... | Alice is not calm. | contradiction | ((?[X]:((~calm(X)|brave(X))))=>(~funny(lucy)))&
(![X]:((~strong(X)<~>tall(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:((rich(X)|generous(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>~tall(X))<=>~kind(X)))&
(![X]:(rich(X)<=>(~patient(X)&~kind(X))))&
((?[X]:((rich(X)|~patient(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
((?[X]:((hap... | ~calm(alice) | [
"p0",
"p1",
"p2",
"p3",
"p9",
"p10",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1766525932952773066404990
% SZS output start Proof for 1766525932952773066404990
1. ? [X0] : (brave(X0) | ~calm(X0)) => ~funny(lucy) [input p0]
2. ! [X0] : ((~strong(X0) <~> tall(X0)) => (~happy(X0) <~> ~quiet(X0))) [input p1]
3. ! [X0] : ((generous(X0) | rich(X0)) <=> ~patient(X0)) [inpu... | 0 |
Everyone who is both not rich and not old is not quiet or not funny.
If someone is either not funny or generous then someone is old or not old and vice versa.
Everyone who is not brave or curious is both not quiet and calm.
Everyone who is quiet is either calm or tall and vice versa.
Everyone who is both not funny and ... | Susan is not happy. | neutral | (![X]:((~rich(X)&~old(X))=>(~quiet(X)|~funny(X))))&
((?[X]:((~funny(X)<~>generous(X))))<=>(?[X]:((old(X)|~old(X)))))&
(![X]:((~brave(X)|curious(X))=>(~quiet(X)&calm(X))))&
(![X]:(quiet(X)<=>(calm(X)<~>tall(X))))&
(![X]:((~funny(X)&~happy(X))=>(curious(X)|rich(X))))&
((?[X]:((humble(X)<~>quiet(X))))<=>((~strong(fred)|wi... | ~happy(susan) | [] | null | 0 |
If someone is not tall then someone is both tall and curious and vice versa.
If someone is either funny or creative then alice is not rich and vice versa.
If lucy is old or not creative then mary is brave or not brave and vice versa.
If someone is either not brave or not funny then mary is both brave and not funny.
Eve... | Lucy is brave. | entailment | ((?[X]:(~tall(X)))<=>(?[X]:((tall(X)&curious(X)))))&
((?[X]:((funny(X)<~>creative(X))))<=>(~rich(alice)))&
(((old(lucy)|~creative(lucy)))<=>((brave(mary)|~brave(mary))))&
((?[X]:((~brave(X)<~>~funny(X))))=>((brave(mary)&~funny(mary))))&
(![X]:(~rich(X)=>(tall(X)|brave(X))))&
(![X]:((~generous(X)&~funny(X))=>(funny(X)|c... | brave(lucy) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2733183592199610250751757
% SZS output start Proof for 2733183592199610250751757
8. ? [X0] : (strong(X0) | ~brave(X0)) <=> ? [X0] : ~wise(X0) [input p7]
9. ! [X0] : (~wise(X0) <=> (wise(X0) & ~generous(X0))) [input p8]
23. ~brave(lucy) [input hypothesis]
25. ? [X0] : (strong(X0) | ~brave(... | 0 |
If alice is either brave or not tall then someone is both not tall and generous. If someone is not old or old then lucy is either funny or not wise and vice versa. Everyone who is not wise is either not humble or wise. If alice is both not patient and brave then someone is generous. Everyone who is creative is not brav... | Fred is not rich. | entailment | (((brave(alice)<~>~tall(alice)))=>(?[X]:((~tall(X)&generous(X)))))&
((?[X]:((~old(X)|old(X))))<=>((funny(lucy)<~>~wise(lucy))))&
(![X]:(~wise(X)=>(~humble(X)<~>wise(X))))&
(((~patient(alice)&brave(alice)))=>(?[X]:(generous(X))))&
(![X]:(creative(X)<=>~brave(X)))&
(![X]:(~generous(X)=>(rich(X)|~kind(X))))&
(![X]:((calm(... | ~rich(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1226736539573061985696867
% SZS output start Proof for 1226736539573061985696867
9. ! [X0] : ((rich(X0) | ~curious(X0)) <=> (~tall(X0) & tall(X0))) [input p8]
23. rich(fred) [input hypothesis]
51. ! [X0] : (((rich(X0) | ~curious(X0)) | (tall(X0) | ~tall(X0))) & ((~tall(X0) & tall(X0)) | (... | 0 |
If alice is either not old or curious then someone is either not curious or wise and vice versa.
Everyone who is patient is both not happy and not quiet.
Everyone who is not humble or tall is either not patient or not kind.
Everyone who is not old or not brave is not tall or not happy and vice versa.
If someone is crea... | Alice is curious. | entailment | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:(patient(X)=>(~happy(X)&~quiet(X))))&
(![X]:((~humble(X)|tall(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~old(X)|~brave(X))<=>(~tall(X)|~happy(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~quiet(X)&~old(... | curious(alice) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1671071449183435711869038
% SZS output start Proof for 1671071449183435711869038
1. (~old(alice) <~> curious(alice)) <=> ? [X0] : (~curious(X0) <~> wise(X0)) [input p0]
2. ! [X0] : (patient(X0) => (~quiet(X0) & ~happy(X0))) [input p1]
6. ! [X0] : ((~old(X0) & ~quiet(X0)) => quiet(X0)) [in... | 0 |
Everyone who is either not happy or wise is either humble or wise and vice versa.
If someone is both not happy and old then someone is both not curious and not wise and vice versa.
If someone is either not quiet or not generous then someone is either quiet or not tall.
If alice is old or strong then mary is both brave ... | Lucy is not generous. | neutral | (![X]:((~happy(X)<~>wise(X))<=>(humble(X)<~>wise(X))))&
((?[X]:((~happy(X)&old(X))))<=>(?[X]:((~curious(X)&~wise(X)))))&
((?[X]:((~quiet(X)<~>~generous(X))))=>(?[X]:((quiet(X)<~>~tall(X)))))&
(((old(alice)|strong(alice)))<=>((brave(mary)&rich(mary))))&
((?[X]:((curious(X)<~>quiet(X))))=>((~generous(lucy)&calm(lucy))))&... | ~generous(lucy) | [] | null | 0 |
If someone is not brave or not quiet then paul is both brave and not old and vice versa. Everyone who is either not wise or not quiet is both not curious and not strong and vice versa. If someone is tall then someone is quiet or not rich. If someone is both not humble and not quiet then mary is not kind and vice versa.... | John is not strong. | contradiction | ((?[X]:((~brave(X)|~quiet(X))))<=>((brave(paul)&~old(paul))))&
(![X]:((~wise(X)<~>~quiet(X))<=>(~curious(X)&~strong(X))))&
((?[X]:(tall(X)))=>(?[X]:((quiet(X)|~rich(X)))))&
((?[X]:((~humble(X)&~quiet(X))))<=>(~kind(mary)))&
(![X]:(wise(X)=>(rich(X)<~>~curious(X))))&
((?[X]:((humble(X)|~calm(X))))<=>(humble(fred)))&
(![... | ~strong(john) | [
"p0",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5634278310079583992777863
% SZS output start Proof for 5634278310079583992777863
1. ? [X0] : (~quiet(X0) | ~brave(X0)) <=> (~old(paul) & brave(paul)) [input p0]
10. ! [X0] : (~happy(X0) => (~curious(X0) & happy(X0))) [input p9]
15. ! [X0] : (old(X0) <=> (happy(X0) | ~quiet(X0))) [input p1... | 0 |
If mary is happy then someone is both funny and not creative.
If susan is not old then someone is tall or funny.
If lucy is both not rich and not brave then susan is either not generous or not rich and vice versa.
Everyone who is not kind is both not rich and not funny.
Everyone who is not brave is creative.
Everyone w... | Susan is old. | neutral | ((happy(mary))=>(?[X]:((funny(X)&~creative(X)))))&
((~old(susan))=>(?[X]:((tall(X)|funny(X)))))&
(((~rich(lucy)&~brave(lucy)))<=>((~generous(susan)<~>~rich(susan))))&
(![X]:(~kind(X)=>(~rich(X)&~funny(X))))&
(![X]:(~brave(X)=>creative(X)))&
(![X]:((~quiet(X)|kind(X))=>~rich(X)))&
(![X]:(~strong(X)<=>(patient(X)|~strong... | old(susan) | [] | null | 0 |
If someone is strong or calm then paul is not tall or tall and vice versa.
If someone is kind or happy then lucy is not rich or kind and vice versa.
If lucy is kind then someone is either rich or not humble and vice versa.
Everyone who is either old or not curious is both not strong and patient.
Everyone who is happy i... | Paul is not humble. | entailment | ((?[X]:((strong(X)|calm(X))))<=>((~tall(paul)|tall(paul))))&
((?[X]:((kind(X)|happy(X))))<=>((~rich(lucy)|kind(lucy))))&
((kind(lucy))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(![X]:((old(X)<~>~curious(X))=>(~strong(X)&patient(X))))&
(![X]:(happy(X)<=>(kind(X)&~old(X))))&
(![X]:((~funny(X)<~>~tall(X))<=>(patient(X)&rich(X))... | ~humble(paul) | [
"p8",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2209030062545354463471720
% SZS output start Proof for 2209030062545354463471720
9. ! [X0] : (creative(X0) <=> (~kind(X0) <~> kind(X0))) [input p8]
15. (~creative(john) | curious(john)) <=> ? [X0] : (curious(X0) | calm(X0)) [input p14]
16. ! [X0] : ((curious(X0) | ~tall(X0)) <=> (~curious... | 0 |
Everyone who is either not brave or not generous is both not brave and not tall and vice versa.
Everyone who is either not strong or strong is either not brave or not rich.
Everyone who is tall is either strong or not generous.
Everyone who is either not brave or wise is not old or not brave and vice versa.
Everyone wh... | Lucy is not calm. | contradiction | (![X]:((~brave(X)<~>~generous(X))<=>(~brave(X)&~tall(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~brave(X)<~>~rich(X))))&
(![X]:(tall(X)=>(strong(X)<~>~generous(X))))&
(![X]:((~brave(X)<~>wise(X))<=>(~old(X)|~brave(X))))&
(![X]:((~happy(X)&funny(X))=>(~humble(X)<~>patient(X))))&
((old(alice))=>(?[X]:(~kind(X))))&
(![X]:((... | ~calm(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 312207939233589440420578
% SZS output start Proof for 312207939233589440420578
12. ! [X0] : ((tall(X0) & ~tall(X0)) <=> (~calm(X0) | ~wise(X0))) [input p11]
21. ~calm(lucy) [input hypothesis]
46. ! [X0] : (((tall(X0) & ~tall(X0)) | (calm(X0) & wise(X0))) & ((~calm(X0) | ~wise(X0)) | (~tal... | 0 |
Everyone who is wise or not tall is curious.
Everyone who is either not creative or humble is happy or not creative and vice versa.
If alice is either generous or not tall then fred is not creative and vice versa.
If paul is creative then john is both not strong and not happy and vice versa.
Everyone who is not kind or... | John is patient. | entailment | (![X]:((wise(X)|~tall(X))=>curious(X)))&
(![X]:((~creative(X)<~>humble(X))<=>(happy(X)|~creative(X))))&
(((generous(alice)<~>~tall(alice)))<=>(~creative(fred)))&
((creative(paul))<=>((~strong(john)&~happy(john))))&
(![X]:((~kind(X)|creative(X))<=>(~quiet(X)|~happy(X))))&
(![X]:(~calm(X)=>(creative(X)|~tall(X))))&
(![X]... | patient(john) | [
"p0",
"p5",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3541500572435204936180366
% SZS output start Proof for 3541500572435204936180366
1. ! [X0] : ((~tall(X0) | wise(X0)) => curious(X0)) [input p0]
6. ! [X0] : (~calm(X0) => (~tall(X0) | creative(X0))) [input p5]
10. ! [X0] : (curious(X0) <=> ~quiet(X0)) [input p9]
11. ? [X0] : (tall(X0) & wi... | 0 |
Everyone who is generous is either not kind or not humble.
Everyone who is rich or not rich is not kind.
If susan is either not creative or old then someone is generous or calm and vice versa.
Everyone who is both not funny and not happy is curious or kind.
Everyone who is not generous is not quiet or old and vice vers... | Mary is kind. | contradiction | (![X]:(generous(X)=>(~kind(X)<~>~humble(X))))&
(![X]:((rich(X)|~rich(X))=>~kind(X)))&
(((~creative(susan)<~>old(susan)))<=>(?[X]:((generous(X)|calm(X)))))&
(![X]:((~funny(X)&~happy(X))=>(curious(X)|kind(X))))&
(![X]:(~generous(X)<=>(~quiet(X)|old(X))))&
((?[X]:(~old(X)))<=>((~curious(paul)|old(paul))))&
(![X]:((wise(X)... | kind(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1289269299551149237426489
% SZS output start Proof for 1289269299551149237426489
2. ! [X0] : ((~rich(X0) | rich(X0)) => ~kind(X0)) [input p1]
24. kind(mary) [input hypothesis]
27. ! [X0] : (~kind(X0) | (rich(X0) & ~rich(X0))) [ennf transformation 2]
74. ~kind(X0) | ~rich(X0) [cnf transfor... | 0 |
Everyone who is not creative or not curious is either not tall or humble and vice versa.
If alice is not funny or quiet then john is either funny or curious and vice versa.
Everyone who is wise or not funny is not funny or rich and vice versa.
Everyone who is both not curious and brave is both not wise and not strong.
... | Alice is not creative. | neutral | (![X]:((~creative(X)|~curious(X))<=>(~tall(X)<~>humble(X))))&
(((~funny(alice)|quiet(alice)))<=>((funny(john)<~>curious(john))))&
(![X]:((wise(X)|~funny(X))<=>(~funny(X)|rich(X))))&
(![X]:((~curious(X)&brave(X))=>(~wise(X)&~strong(X))))&
(![X]:((funny(X)<~>kind(X))<=>kind(X)))&
((?[X]:((~rich(X)&~brave(X))))<=>((~happy... | ~creative(alice) | [] | null | 0 |
Everyone who is both not creative and not generous is both generous and not patient. If someone is both not curious and quiet then someone is both funny and calm. Everyone who is quiet is either not tall or quiet and vice versa. If someone is quiet or not kind then fred is either not creative or curious and vice versa.... | Lucy is creative. | contradiction | (![X]:((~creative(X)&~generous(X))=>(generous(X)&~patient(X))))&
((?[X]:((~curious(X)&quiet(X))))=>(?[X]:((funny(X)&calm(X)))))&
(![X]:(quiet(X)<=>(~tall(X)<~>quiet(X))))&
((?[X]:((quiet(X)|~kind(X))))<=>((~creative(fred)<~>curious(fred))))&
(![X]:((creative(X)<~>~happy(X))<=>(~tall(X)<~>~brave(X))))&
(![X]:(generous(X... | creative(lucy) | [
"p2",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 441690416565287993573552
% SZS output start Proof for 441690416565287993573552
3. ! [X0] : (quiet(X0) <=> (~tall(X0) <~> quiet(X0))) [input p2]
9. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> ~creative(X0)) [input p8]
11. ! [X0] : (strong(X0) <=> ~tall(X0)) [input p10]
13. ! [X0] : ((happy(... | 0 |
Everyone who is both not curious and not strong is either happy or not happy and vice versa.
If someone is not old then john is either not calm or not creative.
Everyone who is strong is either happy or creative.
If fred is not wise or not kind then john is not quiet or humble and vice versa.
Everyone who is either old... | Mary is not funny. | neutral | (![X]:((~curious(X)&~strong(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:(~old(X)))=>((~calm(john)<~>~creative(john))))&
(![X]:(strong(X)=>(happy(X)<~>creative(X))))&
(((~wise(fred)|~kind(fred)))<=>((~quiet(john)|humble(john))))&
(![X]:((old(X)<~>calm(X))=>(~tall(X)<~>~funny(X))))&
((?[X]:((old(X)<~>rich(X))))<=>(?[X]:((~gen... | ~funny(mary) | [] | null | 0 |
Everyone who is either old or tall is calm or not rich and vice versa.
If paul is funny then someone is both calm and kind.
If someone is either wise or not quiet then lucy is both calm and not curious and vice versa.
Everyone who is both strong and not calm is humble or funny and vice versa.
If someone is not happy or... | John is not kind. | neutral | (![X]:((old(X)<~>tall(X))<=>(calm(X)|~rich(X))))&
((funny(paul))=>(?[X]:((calm(X)&kind(X)))))&
((?[X]:((wise(X)<~>~quiet(X))))<=>((calm(lucy)&~curious(lucy))))&
(![X]:((strong(X)&~calm(X))<=>(humble(X)|funny(X))))&
((?[X]:((~happy(X)|~patient(X))))=>(?[X]:((old(X)<~>strong(X)))))&
(((creative(john)&~quiet(john)))<=>(?[... | ~kind(john) | [] | null | 0 |
Everyone who is not brave is both not old and not calm.
If someone is both not old and kind then someone is both not humble and not brave.
Everyone who is not wise is not happy and vice versa.
If john is not brave or not old then lucy is calm or not funny.
Everyone who is humble or not tall is either not wise or calm a... | Lucy is old. | entailment | (![X]:(~brave(X)=>(~old(X)&~calm(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~humble(X)&~brave(X)))))&
(![X]:(~wise(X)<=>~happy(X)))&
(((~brave(john)|~old(john)))=>((calm(lucy)|~funny(lucy))))&
(![X]:((humble(X)|~tall(X))<=>(~wise(X)<~>calm(X))))&
((?[X]:(funny(X)))=>(?[X]:((~generous(X)<~>~calm(X)))))&
(![X]:((calm(X)... | old(lucy) | [
"p1",
"p7",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1008729832041368160582030
% SZS output start Proof for 1008729832041368160582030
2. ? [X0] : (kind(X0) & ~old(X0)) => ? [X0] : (~brave(X0) & ~humble(X0)) [input p1]
8. ! [X0] : (~brave(X0) => (~calm(X0) & ~funny(X0))) [input p7]
10. ! [X0] : ((funny(X0) & happy(X0)) <=> ~brave(X0)) [input... | 0 |
If someone is tall or brave then someone is strong and vice versa. Everyone who is funny or wise is quiet and vice versa. If alice is not curious or kind then susan is both not wise and quiet and vice versa. If mary is not strong then someone is not old and vice versa. Everyone who is not old is quiet and vice versa. I... | Mary is not strong. | contradiction | ((?[X]:((tall(X)|brave(X))))<=>(?[X]:(strong(X))))&
(![X]:((funny(X)|wise(X))<=>quiet(X)))&
(((~curious(alice)|kind(alice)))<=>((~wise(susan)&quiet(susan))))&
((~strong(mary))<=>(?[X]:(~old(X))))&
(![X]:(~old(X)<=>quiet(X)))&
(((generous(alice)<~>~strong(alice)))<=>((~calm(lucy)&patient(lucy))))&
(![X]:(~patient(X)=>ge... | ~strong(mary) | [
"p10",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 679017798490286589635141
% SZS output start Proof for 679017798490286589635141
11. ! [X0] : ((tall(X0) & strong(X0)) <=> (~humble(X0) | ~kind(X0))) [input p10]
15. kind(john) => (~kind(mary) & ~patient(mary)) [input p14]
16. ! [X0] : ((curious(X0) | ~generous(X0)) <=> (calm(X0) | ~strong(... | 0 |
Everyone who is either not curious or not funny is either brave or calm and vice versa.
Everyone who is not calm is both not quiet and happy and vice versa.
Everyone who is either happy or not kind is either not quiet or rich and vice versa.
Everyone who is either brave or not happy is both curious and tall.
If paul is... | Susan is not funny. | neutral | (![X]:((~curious(X)<~>~funny(X))<=>(brave(X)<~>calm(X))))&
(![X]:(~calm(X)<=>(~quiet(X)&happy(X))))&
(![X]:((happy(X)<~>~kind(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:((brave(X)<~>~happy(X))=>(curious(X)&tall(X))))&
(((~humble(paul)<~>~rich(paul)))=>(curious(susan)))&
(((humble(paul)<~>~creative(paul)))<=>(?[X]:((~creative... | ~funny(susan) | [] | null | 0 |
If paul is not patient or calm then susan is either humble or not quiet.
If someone is either not old or brave then alice is rich or not brave.
Everyone who is humble is both not rich and wise.
Everyone who is not old or not calm is not brave or not funny.
If susan is not patient then fred is calm and vice versa.
If so... | Lucy is not wise. | neutral | (((~patient(paul)|calm(paul)))=>((humble(susan)<~>~quiet(susan))))&
((?[X]:((~old(X)<~>brave(X))))=>((rich(alice)|~brave(alice))))&
(![X]:(humble(X)=>(~rich(X)&wise(X))))&
(![X]:((~old(X)|~calm(X))=>(~brave(X)|~funny(X))))&
((~patient(susan))<=>(calm(fred)))&
((?[X]:((~rich(X)&patient(X))))=>(?[X]:((patient(X)<~>~old(X... | ~wise(lucy) | [] | null | 0 |
Everyone who is tall or quiet is generous or not curious and vice versa. Everyone who is both humble and not wise is kind or not brave and vice versa. Everyone who is both rich and not funny is both not generous and not humble and vice versa. If someone is either old or not calm then john is both calm and happy. Everyo... | Susan is calm. | contradiction | (![X]:((tall(X)|quiet(X))<=>(generous(X)|~curious(X))))&
(![X]:((humble(X)&~wise(X))<=>(kind(X)|~brave(X))))&
(![X]:((rich(X)&~funny(X))<=>(~generous(X)&~humble(X))))&
((?[X]:((old(X)<~>~calm(X))))=>((calm(john)&happy(john))))&
(![X]:((~old(X)&funny(X))<=>(~patient(X)&curious(X))))&
((?[X]:((creative(X)|kind(X))))<=>(~... | calm(susan) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p13",
"p15",
"p16",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1043275106964192641162562
% SZS output start Proof for 1043275106964192641162562
1. ! [X0] : ((quiet(X0) | tall(X0)) <=> (~curious(X0) | generous(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & humble(X0)) <=> (~brave(X0) | kind(X0))) [input p1]
4. ? [X0] : (old(X0) <~> ~calm(X0)) => (happy(jo... | 0 |
Everyone who is both calm and not happy is curious. If someone is both not happy and curious then someone is quiet or brave. Everyone who is not calm or generous is either wise or strong. Everyone who is either not kind or kind is either funny or curious. Everyone who is both patient and not old is not curious and vice... | Mary is not strong. | neutral | (![X]:((calm(X)&~happy(X))=>curious(X)))&
((?[X]:((~happy(X)&curious(X))))=>(?[X]:((quiet(X)|brave(X)))))&
(![X]:((~calm(X)|generous(X))=>(wise(X)<~>strong(X))))&
(![X]:((~kind(X)<~>kind(X))=>(funny(X)<~>curious(X))))&
(![X]:((patient(X)&~old(X))<=>~curious(X)))&
(((~humble(susan)|~brave(susan)))<=>(brave(paul)))&
(![X... | ~strong(mary) | [] | null | 0 |
If lucy is not creative then alice is both not tall and humble and vice versa. Everyone who is both patient and not brave is both strong and calm. Everyone who is either not strong or not funny is rich or generous and vice versa. Everyone who is both happy and not rich is either not curious or not rich and vice versa. ... | Mary is rich. | neutral | ((~creative(lucy))<=>((~tall(alice)&humble(alice))))&
(![X]:((patient(X)&~brave(X))=>(strong(X)&calm(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>(rich(X)|generous(X))))&
(![X]:((happy(X)&~rich(X))<=>(~curious(X)<~>~rich(X))))&
((~quiet(alice))=>(~kind(paul)))&
((~brave(paul))<=>(?[X]:(~rich(X))))&
(((patient(mary)|~genero... | rich(mary) | [] | null | 0 |
If paul is not quiet then someone is brave and vice versa.
Everyone who is wise is not curious and vice versa.
Everyone who is not happy or patient is not strong.
If john is either old or happy then john is either curious or happy and vice versa.
Everyone who is both not rich and old is curious or generous.
Everyone wh... | Paul is happy. | contradiction | ((~quiet(paul))<=>(?[X]:(brave(X))))&
(![X]:(wise(X)<=>~curious(X)))&
(![X]:((~happy(X)|patient(X))=>~strong(X)))&
(((old(john)<~>happy(john)))<=>((curious(john)<~>happy(john))))&
(![X]:((~rich(X)&old(X))=>(curious(X)|generous(X))))&
(![X]:((~creative(X)&creative(X))<=>happy(X)))&
((humble(alice))<=>(?[X]:((~wise(X)&st... | happy(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1352152141033346859597365
% SZS output start Proof for 1352152141033346859597365
6. ! [X0] : ((creative(X0) & ~creative(X0)) <=> happy(X0)) [input p5]
23. happy(paul) [input hypothesis]
41. ! [X0] : (((creative(X0) & ~creative(X0)) | ~happy(X0)) & (happy(X0) | (~creative(X0) | creative(X0... | 0 |
If someone is not strong then someone is either rich or quiet and vice versa. Everyone who is either not curious or old is strong or not kind. Everyone who is both humble and old is generous and vice versa. Everyone who is either patient or not old is not quiet or brave and vice versa. If someone is both rich and quiet... | Mary is not funny. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:((~curious(X)<~>old(X))=>(strong(X)|~kind(X))))&
(![X]:((humble(X)&old(X))<=>generous(X)))&
(![X]:((patient(X)<~>~old(X))<=>(~quiet(X)|brave(X))))&
((?[X]:((rich(X)&quiet(X))))=>(?[X]:((tall(X)&calm(X)))))&
(![X]:((~quiet(X)&happy(X))<=>(old(X)|~old(X))))&
(!... | ~funny(mary) | [
"p5",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 759592918700939045395198
% SZS output start Proof for 759592918700939045395198
6. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (~old(X0) | old(X0))) [input p5]
8. ! [X0] : ((happy(X0) & ~calm(X0)) <=> (~happy(X0) | creative(X0))) [input p7]
9. ? [X0] : ~creative(X0) => (creative(mary) | ~funny(... | 0 |
Everyone who is either not humble or not rich is brave or curious and vice versa.
Everyone who is curious is tall or not curious and vice versa.
Everyone who is either curious or wise is both not old and curious.
Everyone who is both not curious and not creative is both funny and patient and vice versa.
If someone is b... | Mary is funny. | contradiction | (![X]:((~humble(X)<~>~rich(X))<=>(brave(X)|curious(X))))&
(![X]:(curious(X)<=>(tall(X)|~curious(X))))&
(![X]:((curious(X)<~>wise(X))=>(~old(X)&curious(X))))&
(![X]:((~curious(X)&~creative(X))<=>(funny(X)&patient(X))))&
((?[X]:((~generous(X)&old(X))))=>(patient(paul)))&
((?[X]:((~brave(X)&old(X))))<=>(?[X]:((kind(X)<~>~... | funny(mary) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2201823154130861938981880
% SZS output start Proof for 2201823154130861938981880
1. ! [X0] : ((~humble(X0) <~> ~rich(X0)) <=> (curious(X0) | brave(X0))) [input p0]
2. ! [X0] : (curious(X0) <=> (~curious(X0) | tall(X0))) [input p1]
3. ! [X0] : ((curious(X0) <~> wise(X0)) => (curious(X0) & ... | 0 |
Everyone who is funny or humble is humble and vice versa.
Everyone who is not creative or humble is both not rich and tall.
If someone is both not kind and funny then someone is not wise and vice versa.
Everyone who is tall is either funny or quiet.
Everyone who is either old or not tall is funny or old and vice versa.... | Mary is quiet. | entailment | (![X]:((funny(X)|humble(X))<=>humble(X)))&
(![X]:((~creative(X)|humble(X))=>(~rich(X)&tall(X))))&
((?[X]:((~kind(X)&funny(X))))<=>(?[X]:(~wise(X))))&
(![X]:(tall(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creativ... | quiet(mary) | [
"p0",
"p1",
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6073092294863068614331350
% SZS output start Proof for 6073092294863068614331350
1. ! [X0] : ((humble(X0) | funny(X0)) <=> humble(X0)) [input p0]
2. ! [X0] : ((humble(X0) | ~creative(X0)) => (tall(X0) & ~rich(X0))) [input p1]
4. ! [X0] : (tall(X0) => (funny(X0) <~> quiet(X0))) [input p3]
... | 0 |
Everyone who is either not generous or not funny is both not wise and not happy.
If john is not strong then someone is both not funny and not old.
Everyone who is not happy is either funny or humble and vice versa.
Everyone who is generous or patient is calm.
If john is not curious then fred is not calm and vice versa.... | Fred is not patient. | entailment | (![X]:((~generous(X)<~>~funny(X))=>(~wise(X)&~happy(X))))&
((~strong(john))=>(?[X]:((~funny(X)&~old(X)))))&
(![X]:(~happy(X)<=>(funny(X)<~>humble(X))))&
(![X]:((generous(X)|patient(X))=>calm(X)))&
((~curious(john))<=>(~calm(fred)))&
(((~humble(fred)<~>rich(fred)))<=>((~patient(paul)&~strong(paul))))&
(((~calm(lucy)|wis... | ~patient(fred) | [
"p3",
"p4",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7739787589322209442745641
% SZS output start Proof for 7739787589322209442745641
4. ! [X0] : ((patient(X0) | generous(X0)) => calm(X0)) [input p3]
5. ~curious(john) <=> ~calm(fred) [input p4]
19. creative(john) & ~calm(john) [input p18]
22. ~curious(john) | ~creative(john) [input p21]
24.... | 0 |
If paul is wise then alice is either creative or not generous and vice versa.
Everyone who is either not old or not creative is either not calm or calm and vice versa.
Everyone who is rich is either not quiet or creative.
If someone is not curious or tall then fred is not old or not curious.
If lucy is not curious then... | Fred is rich. | contradiction | ((wise(paul))<=>((creative(alice)<~>~generous(alice))))&
(![X]:((~old(X)<~>~creative(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:((~curious(X)|tall(X))))=>((~old(fred)|~curious(fred))))&
((~curious(lucy))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>((b... | rich(fred) | [
"p2",
"p3",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5332387315349959475526695
% SZS output start Proof for 5332387315349959475526695
3. ! [X0] : (rich(X0) => (~quiet(X0) <~> creative(X0))) [input p2]
4. ? [X0] : (tall(X0) | ~curious(X0)) => (~curious(fred) | ~old(fred)) [input p3]
6. ? [X0] : (~happy(X0) | creative(X0)) <=> (tall(fred) & b... | 0 |
Everyone who is both not happy and not strong is not quiet or wise.
Everyone who is either calm or wise is either quiet or strong and vice versa.
Everyone who is both kind and not old is tall.
Everyone who is both creative and brave is either tall or calm.
Everyone who is not creative or not rich is either wise or not ... | John is not strong. | contradiction | (![X]:((~happy(X)&~strong(X))=>(~quiet(X)|wise(X))))&
(![X]:((calm(X)<~>wise(X))<=>(quiet(X)<~>strong(X))))&
(![X]:((kind(X)&~old(X))=>tall(X)))&
(![X]:((creative(X)&brave(X))=>(tall(X)<~>calm(X))))&
(![X]:((~creative(X)|~rich(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((~humble(X)<~>~brave(X))<=>(~humble(X)&~funny(X))))&
(!... | ~strong(john) | [
"p4",
"p5",
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2344611595553008474390056
% SZS output start Proof for 2344611595553008474390056
5. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> (wise(X0) <~> ~funny(X0))) [input p4]
6. ! [X0] : ((~humble(X0) <~> ~brave(X0)) <=> (~funny(X0) & ~humble(X0))) [input p5]
7. ! [X0] : ((~strong(X0) & strong(X0)) ... | 0 |
If susan is either funny or happy then mary is funny and vice versa. Everyone who is both not rich and strong is both brave and kind and vice versa. If lucy is patient then fred is not creative or not quiet and vice versa. Everyone who is either not calm or creative is both not brave and strong and vice versa. Everyone... | John is not wise. | contradiction | (((funny(susan)<~>happy(susan)))<=>(funny(mary)))&
(![X]:((~rich(X)&strong(X))<=>(brave(X)&kind(X))))&
((patient(lucy))<=>((~creative(fred)|~quiet(fred))))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)&strong(X))))&
(![X]:((~patient(X)&~humble(X))<=>(~brave(X)<~>~wise(X))))&
(((brave(john)&humble(john)))=>((~rich(susan... | ~wise(john) | [
"p1",
"p4",
"p8",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4462836952695316474241701
% SZS output start Proof for 4462836952695316474241701
2. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (kind(X0) & brave(X0))) [input p1]
5. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> (~brave(X0) <~> ~wise(X0))) [input p4]
9. ! [X0] : ((~humble(X0) <~> wise(X0)) => ~ri... | 0 |
Everyone who is not creative or patient is strong or creative and vice versa.
If paul is calm or rich then john is either kind or not patient and vice versa.
Everyone who is not creative or not quiet is not brave.
If someone is not tall or not kind then someone is not kind or creative.
If someone is not funny then fred... | Paul is not quiet. | contradiction | (![X]:((~creative(X)|patient(X))<=>(strong(X)|creative(X))))&
(((calm(paul)|rich(paul)))<=>((kind(john)<~>~patient(john))))&
(![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))... | ~quiet(paul) | [
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7391392177437417461577334
% SZS output start Proof for 7391392177437417461577334
12. ? [X0] : (strong(X0) & ~strong(X0)) <=> ? [X0] : (humble(X0) | ~calm(X0)) [input p11]
14. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~brave(X0) & happy(X0))) [input p13]
15. ! [X0] : ((quiet(X0) <~> ~pat... | 0 |
Everyone who is both wise and not curious is not humble.
Everyone who is generous is not calm and vice versa.
If alice is old then someone is both humble and not generous and vice versa.
Everyone who is either wise or funny is not rich or not calm.
Everyone who is both not wise and patient is either strong or wise.
Eve... | Alice is patient. | neutral | (![X]:((wise(X)&~curious(X))=>~humble(X)))&
(![X]:(generous(X)<=>~calm(X)))&
((old(alice))<=>(?[X]:((humble(X)&~generous(X)))))&
(![X]:((wise(X)<~>funny(X))=>(~rich(X)|~calm(X))))&
(![X]:((~wise(X)&patient(X))=>(strong(X)<~>wise(X))))&
(![X]:((~rich(X)&~tall(X))<=>(wise(X)&~strong(X))))&
(![X]:((~generous(X)<~>~happy(X... | patient(alice) | [] | null | 0 |
Everyone who is not rich or wise is kind or not brave and vice versa.
Everyone who is not old is not curious or not rich.
If someone is not brave or kind then paul is creative and vice versa.
If someone is either wise or kind then someone is generous.
If someone is not patient then paul is not old.
If mary is both kind... | Alice is not patient. | neutral | (![X]:((~rich(X)|wise(X))<=>(kind(X)|~brave(X))))&
(![X]:(~old(X)=>(~curious(X)|~rich(X))))&
((?[X]:((~brave(X)|kind(X))))<=>(creative(paul)))&
((?[X]:((wise(X)<~>kind(X))))=>(?[X]:(generous(X))))&
((?[X]:(~patient(X)))=>(~old(paul)))&
(((kind(mary)&~brave(mary)))<=>((~generous(paul)&~tall(paul))))&
((?[X]:(~tall(X)))=... | ~patient(alice) | [] | null | 0 |
If someone is strong or rich then john is both creative and funny. If john is either not humble or patient then mary is either wise or not generous and vice versa. Everyone who is either not strong or not curious is either not curious or happy. Everyone who is both not quiet and not funny is either humble or generous a... | John is not funny. | contradiction | ((?[X]:((strong(X)|rich(X))))=>((creative(john)&funny(john))))&
(((~humble(john)<~>patient(john)))<=>((wise(mary)<~>~generous(mary))))&
(![X]:((~strong(X)<~>~curious(X))=>(~curious(X)<~>happy(X))))&
(![X]:((~quiet(X)&~funny(X))<=>(humble(X)<~>generous(X))))&
((?[X]:(tall(X)))<=>(tall(alice)))&
(![X]:((~happy(X)&humble(... | ~funny(john) | [
"p0",
"p3",
"p5",
"p10",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6238583887534391812342628
% SZS output start Proof for 6238583887534391812342628
1. ? [X0] : (rich(X0) | strong(X0)) => (funny(john) & creative(john)) [input p0]
4. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (humble(X0) <~> generous(X0))) [input p3]
6. ! [X0] : ((humble(X0) & ~happy(X0)) => ... | 0 |
If someone is both brave and not strong then paul is quiet or tall. If someone is not calm then susan is both not funny and not kind. If someone is not rich then someone is both quiet and strong. Everyone who is both old and curious is either not strong or humble and vice versa. If someone is both curious and old then ... | Fred is not curious. | contradiction | ((?[X]:((brave(X)&~strong(X))))=>((quiet(paul)|tall(paul))))&
((?[X]:(~calm(X)))=>((~funny(susan)&~kind(susan))))&
((?[X]:(~rich(X)))=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((old(X)&curious(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:((curious(X)&old(X))))<=>(?[X]:((calm(X)&brave(X)))))&
(![X]:((~wise(X)<~>funny(X))=>(~ge... | ~curious(fred) | [
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7187650567385435395389573
% SZS output start Proof for 7187650567385435395389573
14. ! [X0] : ((strong(X0) <~> ~wise(X0)) => strong(X0)) [input p13]
15. ! [X0] : ((~strong(X0) & wise(X0)) => (curious(X0) & ~kind(X0))) [input p14]
22. ~strong(fred) | curious(fred) [input p21]
25. ~curious(... | 0 |
Everyone who is both not patient and not wise is not tall or not strong and vice versa.
If paul is not wise or tall then fred is not strong.
Everyone who is rich or not strong is not brave or not kind and vice versa.
Everyone who is not kind or patient is both not brave and not tall.
Everyone who is creative is rich an... | Fred is not tall. | entailment | (![X]:((~patient(X)&~wise(X))<=>(~tall(X)|~strong(X))))&
(((~wise(paul)|tall(paul)))=>(~strong(fred)))&
(![X]:((rich(X)|~strong(X))<=>(~brave(X)|~kind(X))))&
(![X]:((~kind(X)|patient(X))=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~kind(X)=>(funny(X)... | ~tall(fred) | [
"p0",
"p1",
"p3",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3402613276930310378311175
% SZS output start Proof for 3402613276930310378311175
1. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (~strong(X0) | ~tall(X0))) [input p0]
2. (tall(paul) | ~wise(paul)) => ~strong(fred) [input p1]
4. ! [X0] : ((patient(X0) | ~kind(X0)) => (~tall(X0) & ~brave(X0))) ... | 0 |
If lucy is both not generous and not humble then john is not funny.
If john is not calm or humble then fred is both generous and old and vice versa.
If fred is not strong or creative then john is either not wise or creative and vice versa.
Everyone who is either calm or not old is humble or not patient.
Everyone who is... | John is creative. | entailment | (((~generous(lucy)&~humble(lucy)))=>(~funny(john)))&
(((~calm(john)|humble(john)))<=>((generous(fred)&old(fred))))&
(((~strong(fred)|creative(fred)))<=>((~wise(john)<~>creative(john))))&
(![X]:((calm(X)<~>~old(X))=>(humble(X)|~patient(X))))&
(![X]:((patient(X)<~>creative(X))<=>(~creative(X)&~patient(X))))&
(![X]:((stro... | creative(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6080584519426957790581949
% SZS output start Proof for 6080584519426957790581949
5. ! [X0] : ((patient(X0) <~> creative(X0)) <=> (~patient(X0) & ~creative(X0))) [input p4]
23. ~creative(john) [input hypothesis]
38. ! [X0] : ((((~creative(X0) | ~patient(X0)) & (creative(X0) | patient(X0)))... | 0 |
If susan is quiet then someone is both patient and funny.
Everyone who is either strong or calm is patient and vice versa.
If fred is either not kind or not funny then someone is not patient or curious.
If susan is not rich or funny then someone is generous and vice versa.
Everyone who is not creative is both patient a... | Paul is curious. | contradiction | ((quiet(susan))=>(?[X]:((patient(X)&funny(X)))))&
(![X]:((strong(X)<~>calm(X))<=>patient(X)))&
(((~kind(fred)<~>~funny(fred)))=>(?[X]:((~patient(X)|curious(X)))))&
(((~rich(susan)|funny(susan)))<=>(?[X]:(generous(X))))&
(![X]:(~creative(X)=>(patient(X)&~patient(X))))&
((?[X]:((quiet(X)&creative(X))))<=>(~curious(paul))... | curious(paul) | [
"p4",
"p5",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3930190695642918631181932
% SZS output start Proof for 3930190695642918631181932
5. ! [X0] : (~creative(X0) => (~patient(X0) & patient(X0))) [input p4]
6. ? [X0] : (creative(X0) & quiet(X0)) <=> ~curious(paul) [input p5]
13. ! [X0] : (happy(X0) <=> (~funny(X0) | kind(X0))) [input p12]
15.... | 0 |
Everyone who is not strong or not generous is not kind or humble and vice versa.
If someone is both not generous and not quiet then someone is not happy or quiet and vice versa.
Everyone who is not generous is both rich and not brave.
If mary is both wise and humble then susan is not patient and vice versa.
Everyone wh... | Susan is not creative. | contradiction | (![X]:((~strong(X)|~generous(X))<=>(~kind(X)|humble(X))))&
((?[X]:((~generous(X)&~quiet(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:(~generous(X)=>(rich(X)&~brave(X))))&
(((wise(mary)&humble(mary)))<=>(~patient(susan)))&
(![X]:((~wise(X)<~>wise(X))<=>(strong(X)&funny(X))))&
(((~creative(paul)&creative(paul)))<=>((~cu... | ~creative(susan) | [
"p0",
"p2",
"p4",
"p5",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3177764248077216965552473
% SZS output start Proof for 3177764248077216965552473
1. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> (humble(X0) | ~kind(X0))) [input p0]
3. ! [X0] : (~generous(X0) => (~brave(X0) & rich(X0))) [input p2]
5. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> (funny(X0) & str... | 0 |
Everyone who is wise is kind.
If someone is quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not strong or not brave and vice versa.
Everyone who is both wise and happy is not old or kind and vice versa.
Everyone who is ... | Lucy is rich. | entailment | (![X]:(wise(X)=>kind(X)))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((~strong(X)<~>~funny(X)))... | rich(lucy) | [
"p5",
"p7",
"p8",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4667915300753285985397001
% SZS output start Proof for 4667915300753285985397001
6. ! [X0] : ((~old(X0) <~> ~curious(X0)) <=> (~funny(X0) | ~wise(X0))) [input p5]
8. ! [X0] : ((~funny(X0) <~> ~generous(X0)) => (brave(X0) & funny(X0))) [input p7]
9. (old(lucy) | ~curious(lucy)) <=> ? [X0] ... | 0 |
If paul is both not funny and wise then paul is not calm. Everyone who is quiet or not curious is both not brave and kind and vice versa. If john is both not quiet and wise then someone is humble and vice versa. If susan is not rich then mary is either not funny or not tall. If someone is either rich or not tall then s... | Paul is not quiet. | entailment | (((~funny(paul)&wise(paul)))=>(~calm(paul)))&
(![X]:((quiet(X)|~curious(X))<=>(~brave(X)&kind(X))))&
(((~quiet(john)&wise(john)))<=>(?[X]:(humble(X))))&
((~rich(susan))=>((~funny(mary)<~>~tall(mary))))&
((?[X]:((rich(X)<~>~tall(X))))<=>(?[X]:((~kind(X)<~>creative(X)))))&
(((generous(paul)&~kind(paul)))<=>(?[X]:((funny(... | ~quiet(paul) | [
"p1",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7705681799844980019908771
% SZS output start Proof for 7705681799844980019908771
2. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (kind(X0) & ~brave(X0))) [input p1]
6. (~kind(paul) & generous(paul)) <=> ? [X0] : (~old(X0) | funny(X0)) [input p5]
18. ? [X0] : (quiet(X0) & funny(X0)) [input p17... | 0 |
If mary is not happy then someone is humble or not generous.
Everyone who is not kind is either quiet or not kind and vice versa.
Everyone who is kind or not strong is kind or not brave and vice versa.
If alice is both strong and creative then fred is not rich or not old and vice versa.
If susan is not old then someone... | Fred is not rich. | neutral | ((~happy(mary))=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:(~kind(X)<=>(quiet(X)<~>~kind(X))))&
(![X]:((kind(X)|~strong(X))<=>(kind(X)|~brave(X))))&
(((strong(alice)&creative(alice)))<=>((~rich(fred)|~old(fred))))&
((~old(susan))<=>(?[X]:(~old(X))))&
((~wise(alice))=>(?[X]:((creative(X)|~quiet(X)))))&
((creative(alice)... | ~rich(fred) | [] | null | 0 |
If alice is not generous or creative then john is not strong and vice versa.
If someone is either not quiet or not funny then someone is brave and vice versa.
If someone is either not generous or calm then someone is either tall or curious and vice versa.
Everyone who is strong or generous is both not wise and not funn... | Alice is not creative. | neutral | (((~generous(alice)|creative(alice)))<=>(~strong(john)))&
((?[X]:((~quiet(X)<~>~funny(X))))<=>(?[X]:(brave(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>(?[X]:((tall(X)<~>curious(X)))))&
(![X]:((strong(X)|generous(X))<=>(~wise(X)&~funny(X))))&
(![X]:(strong(X)<=>(~tall(X)&calm(X))))&
((?[X]:((~strong(X)|wise(X))))<=>(?[X... | ~creative(alice) | [] | null | 0 |
If alice is strong then someone is both wise and quiet. If john is creative then someone is both wise and quiet and vice versa. If someone is both happy and old then someone is wise and vice versa. Everyone who is generous is either old or not calm and vice versa. Everyone who is not old is both quiet and strong. If so... | Mary is wise. | neutral | ((strong(alice))=>(?[X]:((wise(X)&quiet(X)))))&
((creative(john))<=>(?[X]:((wise(X)&quiet(X)))))&
((?[X]:((happy(X)&old(X))))<=>(?[X]:(wise(X))))&
(![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X)... | wise(mary) | [] | null | 0 |
If john is wise then mary is either calm or not tall and vice versa. Everyone who is not tall is not strong or patient. Everyone who is curious or not humble is humble. If fred is both brave and rich then john is not old or tall and vice versa. Everyone who is either brave or not old is not kind. If mary is not old the... | Mary is not old. | entailment | ((wise(john))<=>((calm(mary)<~>~tall(mary))))&
(![X]:(~tall(X)=>(~strong(X)|patient(X))))&
(![X]:((curious(X)|~humble(X))=>humble(X)))&
(((brave(fred)&rich(fred)))<=>((~old(john)|tall(john))))&
(![X]:((brave(X)<~>~old(X))=>~kind(X)))&
((~old(mary))=>((wise(paul)|~tall(paul))))&
(![X]:(~tall(X)=>~curious(X)))&
((?[X]:(~... | ~old(mary) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5264839615680281584606627
% SZS output start Proof for 5264839615680281584606627
14. ! [X0] : (~wise(X0) <=> (~strong(X0) & ~old(X0))) [input p13]
15. ! [X0] : (wise(X0) => (~wise(X0) & curious(X0))) [input p14]
25. old(mary) [input hypothesis]
40. ! [X0] : ((~wise(X0) & curious(X0)) | ~w... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.