premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is rich or generous is humble or not generous.
If john is either tall or not brave then someone is not calm or quiet and vice versa.
Everyone who is either calm or not creative is funny or not happy.
Everyone who is both not patient and not calm is either calm or funny and vice versa.
Everyone who is humbl... | Lucy is funny. | entailment | (![X]:((rich(X)|generous(X))=>(humble(X)|~generous(X))))&
(((tall(john)<~>~brave(john)))<=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((calm(X)<~>~creative(X))=>(funny(X)|~happy(X))))&
(![X]:((~patient(X)&~calm(X))<=>(calm(X)<~>funny(X))))&
(![X]:(humble(X)=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(~... | funny(lucy) | [
"p2",
"p3",
"p6",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 975945352815756950888206
% SZS output start Proof for 975945352815756950888206
3. ! [X0] : ((calm(X0) <~> ~creative(X0)) => (~happy(X0) | funny(X0))) [input p2]
4. ! [X0] : ((~calm(X0) & ~patient(X0)) <=> (calm(X0) <~> funny(X0))) [input p3]
7. ! [X0] : ((creative(X0) | rich(X0)) <=> ~cre... | 0 |
Everyone who is creative or not quiet is either generous or not creative and vice versa.
If someone is not wise then alice is not patient and vice versa.
Everyone who is both wise and not old is both not generous and generous.
Everyone who is not kind is both not humble and curious and vice versa.
If susan is not brave... | Mary is patient. | entailment | (![X]:((creative(X)|~quiet(X))<=>(generous(X)<~>~creative(X))))&
((?[X]:(~wise(X)))<=>(~patient(alice)))&
(![X]:((wise(X)&~old(X))=>(~generous(X)&generous(X))))&
(![X]:(~kind(X)<=>(~humble(X)&curious(X))))&
(((~brave(susan)|calm(susan)))<=>(?[X]:(~brave(X))))&
(![X]:((funny(X)|~creative(X))=>(brave(X)|~brave(X))))&
((?... | patient(mary) | [
"p2",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3744735720425094816961661
% SZS output start Proof for 3744735720425094816961661
3. ! [X0] : ((~old(X0) & wise(X0)) => (generous(X0) & ~generous(X0))) [input p2]
9. ! [X0] : (old(X0) => (tall(X0) & ~old(X0))) [input p8]
12. ! [X0] : ((~patient(X0) | funny(X0)) => (tall(X0) <~> wise(X0))) ... | 0 |
Everyone who is either not strong or brave is curious or calm. Everyone who is either not old or rich is both not rich and not humble. Everyone who is not funny or patient is not wise. Everyone who is both kind and strong is both curious and brave. Everyone who is not tall is happy or old and vice versa. If someone is ... | Fred is humble. | neutral | (![X]:((~strong(X)<~>brave(X))=>(curious(X)|calm(X))))&
(![X]:((~old(X)<~>rich(X))=>(~rich(X)&~humble(X))))&
(![X]:((~funny(X)|patient(X))=>~wise(X)))&
(![X]:((kind(X)&strong(X))=>(curious(X)&brave(X))))&
(![X]:(~tall(X)<=>(happy(X)|old(X))))&
((?[X]:((brave(X)&~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:(curious(X)<=>~cr... | humble(fred) | [] | null | 0 |
Everyone who is either humble or not happy is both wise and not kind and vice versa.
Everyone who is not strong is not funny or humble and vice versa.
Everyone who is not happy is either curious or humble.
Everyone who is either not funny or not kind is either brave or humble.
Everyone who is brave is either not patien... | Susan is not funny. | neutral | (![X]:((humble(X)<~>~happy(X))<=>(wise(X)&~kind(X))))&
(![X]:(~strong(X)<=>(~funny(X)|humble(X))))&
(![X]:(~happy(X)=>(curious(X)<~>humble(X))))&
(![X]:((~funny(X)<~>~kind(X))=>(brave(X)<~>humble(X))))&
(![X]:(brave(X)=>(~patient(X)<~>~tall(X))))&
(((~happy(alice)|~old(alice)))<=>(?[X]:((quiet(X)&~brave(X)))))&
(![X]:(... | ~funny(susan) | [] | null | 0 |
Everyone who is rich is both not kind and happy.
Everyone who is tall is either generous or not brave.
If someone is both not calm and old then someone is either not wise or wise and vice versa.
Everyone who is either patient or curious is not generous and vice versa.
If lucy is not rich then susan is either patient or... | Lucy is generous. | contradiction | (![X]:(rich(X)=>(~kind(X)&happy(X))))&
(![X]:(tall(X)=>(generous(X)<~>~brave(X))))&
((?[X]:((~calm(X)&old(X))))<=>(?[X]:((~wise(X)<~>wise(X)))))&
(![X]:((patient(X)<~>curious(X))<=>~generous(X)))&
((~rich(lucy))<=>((patient(susan)<~>generous(susan))))&
((?[X]:(~curious(X)))<=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((~h... | generous(lucy) | [
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2114040157700071314878792
% SZS output start Proof for 2114040157700071314878792
9. ! [X0] : ((old(X0) | ~calm(X0)) => ~generous(X0)) [input p8]
22. old(lucy) [input p21]
25. generous(lucy) [input hypothesis]
32. ! [X0] : (~generous(X0) | (~old(X0) & calm(X0))) [ennf transformation 9]
99.... | 0 |
If susan is both not curious and humble then someone is funny and vice versa.
Everyone who is either funny or patient is patient.
Everyone who is either not calm or not generous is both quiet and not curious.
Everyone who is either not tall or patient is not strong or patient and vice versa.
If john is both creative an... | Lucy is rich. | neutral | (((~curious(susan)&humble(susan)))<=>(?[X]:(funny(X))))&
(![X]:((funny(X)<~>patient(X))=>patient(X)))&
(![X]:((~calm(X)<~>~generous(X))=>(quiet(X)&~curious(X))))&
(![X]:((~tall(X)<~>patient(X))<=>(~strong(X)|patient(X))))&
(((creative(john)&strong(john)))=>(?[X]:((~tall(X)&~curious(X)))))&
(![X]:((~patient(X)<~>calm(X)... | rich(lucy) | [] | null | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa.
If lucy is not patient then someone is both not patient and creative and vice versa.
Everyone who is kind or strong is quiet.
If fred is either calm or not calm then paul is not strong.
Everyone who is not patient or not generous ... | Fred is not funny. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:((kind(X)|strong(X))=>quiet(X)))&
(((calm(fred)<~>~calm(fred)))=>(~strong(paul)))&
(![X]:((~patient(X)|~generous(X))=>(~strong(X)&funny(X))))&
((~strong(fred))<=>(?[X]:((~creative(X)&generous(X)))))&... | ~funny(fred) | [
"p0",
"p2",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1026394263491320716341068
% SZS output start Proof for 1026394263491320716341068
1. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> (~quiet(X0) <~> ~funny(X0))) [input p0]
3. ! [X0] : ((strong(X0) | kind(X0)) => quiet(X0)) [input p2]
7. ! [X0] : (~funny(X0) => strong(X0)) [input p6]
10. ! [X0] : ... | 0 |
Everyone who is either old or kind is creative and vice versa.
If someone is both not creative and calm then someone is both funny and generous and vice versa.
If someone is generous then someone is either not patient or not strong and vice versa.
If paul is not old then fred is either not patient or not kind.
If someo... | Paul is not patient. | entailment | (![X]:((old(X)<~>kind(X))<=>creative(X)))&
((?[X]:((~creative(X)&calm(X))))<=>(?[X]:((funny(X)&generous(X)))))&
((?[X]:(generous(X)))<=>(?[X]:((~patient(X)<~>~strong(X)))))&
((~old(paul))=>((~patient(fred)<~>~kind(fred))))&
((?[X]:(~calm(X)))=>((~creative(john)<~>brave(john))))&
(![X]:(generous(X)=>(~rich(X)<~>~curious... | ~patient(paul) | [
"p6",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4136231283313920245557813
% SZS output start Proof for 4136231283313920245557813
7. ! [X0] : (calm(X0) <=> (~rich(X0) | ~wise(X0))) [input p6]
16. ? [X0] : (~strong(X0) | calm(X0)) <=> rich(paul) [input p15]
23. ~rich(paul) <~> ~patient(paul) [input p22]
25. patient(paul) [input hypothesi... | 0 |
Everyone who is both old and rich is both quiet and kind. Everyone who is funny is happy or not humble. If someone is either not rich or brave then someone is either not strong or generous and vice versa. Everyone who is both humble and not funny is either curious or not quiet. If mary is old or tall then lucy is eithe... | Susan is not funny. | contradiction | (![X]:((old(X)&rich(X))=>(quiet(X)&kind(X))))&
(![X]:(funny(X)=>(happy(X)|~humble(X))))&
((?[X]:((~rich(X)<~>brave(X))))<=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:((humble(X)&~funny(X))=>(curious(X)<~>~quiet(X))))&
(((old(mary)|tall(mary)))<=>((~generous(lucy)<~>tall(lucy))))&
(![X]:((~happy(X)|kind(X))<=>(creative... | ~funny(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6677285058024567767766279
% SZS output start Proof for 6677285058024567767766279
12. ! [X0] : ((brave(X0) | ~funny(X0)) => (~quiet(X0) & funny(X0))) [input p11]
23. ~funny(susan) [input hypothesis]
36. ! [X0] : ((~quiet(X0) & funny(X0)) | (~brave(X0) & funny(X0))) [ennf transformation 12]... | 0 |
If lucy is either curious or not patient then someone is strong or generous and vice versa.
Everyone who is not calm or quiet is either curious or kind.
If someone is wise then lucy is wise and vice versa.
Everyone who is both not tall and not humble is both not wise and not creative and vice versa.
Everyone who is not... | Susan is not tall. | entailment | (((curious(lucy)<~>~patient(lucy)))<=>(?[X]:((strong(X)|generous(X)))))&
(![X]:((~calm(X)|quiet(X))=>(curious(X)<~>kind(X))))&
((?[X]:(wise(X)))<=>(wise(lucy)))&
(![X]:((~tall(X)&~humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~patient(X)<=>(generous(X)&humble(X))))&
((?[X]:((~brave(X)&~calm(X))))<=>(?[X]:((~brave(X)<~... | ~tall(susan) | [
"p1",
"p6",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1061644473637433696560194
% SZS output start Proof for 1061644473637433696560194
2. ! [X0] : ((quiet(X0) | ~calm(X0)) => (curious(X0) <~> kind(X0))) [input p1]
7. ! [X0] : ((~kind(X0) | ~curious(X0)) => (~funny(X0) & ~rich(X0))) [input p6]
11. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> (~wis... | 0 |
If someone is rich then someone is curious. Everyone who is either not old or old is either quiet or brave and vice versa. Everyone who is not generous or not brave is both creative and kind and vice versa. If someone is either not quiet or strong then someone is either not humble or tall. Everyone who is both generous... | Paul is wise. | entailment | ((?[X]:(rich(X)))=>(?[X]:(curious(X))))&
(![X]:((~old(X)<~>old(X))<=>(quiet(X)<~>brave(X))))&
(![X]:((~generous(X)|~brave(X))<=>(creative(X)&kind(X))))&
((?[X]:((~quiet(X)<~>strong(X))))=>(?[X]:((~humble(X)<~>tall(X)))))&
(![X]:((generous(X)&~rich(X))=>(generous(X)|~happy(X))))&
(![X]:((~strong(X)<~>wise(X))<=>(generou... | wise(paul) | [
"p1",
"p5",
"p6",
"p12",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1998184126132386570994975
% SZS output start Proof for 1998184126132386570994975
2. ! [X0] : ((~old(X0) <~> old(X0)) <=> (quiet(X0) <~> brave(X0))) [input p1]
6. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> (~funny(X0) & generous(X0))) [input p5]
7. ? [X0] : ~generous(X0) <=> (~brave(lucy) <~... | 0 |
Everyone who is not brave is rich and vice versa.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or patient then someone is both happy and not curious.
If someone is not calm then mary is either curious or not patient.
Everyone who is creative or not patient is either br... | Mary is not creative. | contradiction | (![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))&
(![X]:((creative(X)|~patient(X))=>(brave(X)<~>creative(X))))&
(![X]:((generous(X)|humble(X))=>tall(X)))&
(![X]:... | ~creative(mary) | [
"p0",
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2440890151538790255117423
% SZS output start Proof for 2440890151538790255117423
1. ! [X0] : (~brave(X0) <=> rich(X0)) [input p0]
5. ! [X0] : ((~patient(X0) | creative(X0)) => (brave(X0) <~> creative(X0))) [input p4]
7. ! [X0] : ((~old(X0) | ~rich(X0)) <=> patient(X0)) [input p6]
9. ! [X0... | 0 |
If someone is not strong then susan is both not calm and not old.
If alice is either not humble or brave then alice is either not wise or brave and vice versa.
Everyone who is not funny is wise.
Everyone who is rich or not wise is not rich or not humble and vice versa.
If fred is patient or rich then someone is not qui... | John is brave. | neutral | ((?[X]:(~strong(X)))=>((~calm(susan)&~old(susan))))&
(((~humble(alice)<~>brave(alice)))<=>((~wise(alice)<~>brave(alice))))&
(![X]:(~funny(X)=>wise(X)))&
(![X]:((rich(X)|~wise(X))<=>(~rich(X)|~humble(X))))&
(((patient(fred)|rich(fred)))<=>(?[X]:(~quiet(X))))&
(((~kind(mary)|~curious(mary)))=>((tall(paul)&~strong(paul)))... | brave(john) | [] | null | 0 |
Everyone who is not generous or strong is happy or not old. If someone is rich then john is not creative. If mary is not brave or not curious then someone is not patient or not happy and vice versa. If someone is both patient and not wise then john is both creative and old. Everyone who is not generous or calm is not h... | Fred is not calm. | entailment | (![X]:((~generous(X)|strong(X))=>(happy(X)|~old(X))))&
((?[X]:(rich(X)))=>(~creative(john)))&
(((~brave(mary)|~curious(mary)))<=>(?[X]:((~patient(X)|~happy(X)))))&
((?[X]:((patient(X)&~wise(X))))=>((creative(john)&old(john))))&
(![X]:((~generous(X)|calm(X))=>~happy(X)))&
((?[X]:(humble(X)))<=>((~quiet(mary)|~generous(m... | ~calm(fred) | [
"p4",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6386682565911093744863019
% SZS output start Proof for 6386682565911093744863019
5. ! [X0] : ((calm(X0) | ~generous(X0)) => ~happy(X0)) [input p4]
12. ! [X0] : ((~happy(X0) <~> calm(X0)) <=> generous(X0)) [input p11]
22. calm(fred) <~> ~happy(fred) [input p21]
25. calm(fred) [input hypoth... | 0 |
If john is kind then mary is not humble or tall and vice versa. Everyone who is not wise or generous is both creative and not curious and vice versa. Everyone who is both wise and calm is both curious and strong and vice versa. If someone is both tall and wise then susan is humble and vice versa. If someone is either f... | John is brave. | contradiction | ((kind(john))<=>((~humble(mary)|tall(mary))))&
(![X]:((~wise(X)|generous(X))<=>(creative(X)&~curious(X))))&
(![X]:((wise(X)&calm(X))<=>(curious(X)&strong(X))))&
((?[X]:((tall(X)&wise(X))))<=>(humble(susan)))&
((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:((funny(X)&~generous(X)))))&
(![X]:((wise(X)&humble(X))=>~old(X)))&
(![... | brave(john) | [
"p1",
"p5",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 734190375914301786284496
% SZS output start Proof for 734190375914301786284496
2. ! [X0] : ((generous(X0) | ~wise(X0)) <=> (~curious(X0) & creative(X0))) [input p1]
6. ! [X0] : ((humble(X0) & wise(X0)) => ~old(X0)) [input p5]
16. ! [X0] : ((old(X0) & ~creative(X0)) <=> brave(X0)) [input p... | 0 |
If someone is old then paul is both not calm and quiet and vice versa. Everyone who is not tall or old is quiet. If someone is both not quiet and quiet then someone is strong or not humble and vice versa. If john is either not patient or wise then alice is kind. Everyone who is curious is kind or old. Everyone who is n... | Lucy is kind. | neutral | ((?[X]:(old(X)))<=>((~calm(paul)&quiet(paul))))&
(![X]:((~tall(X)|old(X))=>quiet(X)))&
((?[X]:((~quiet(X)&quiet(X))))<=>(?[X]:((strong(X)|~humble(X)))))&
(((~patient(john)<~>wise(john)))=>(kind(alice)))&
(![X]:(curious(X)=>(kind(X)|old(X))))&
(![X]:((~humble(X)|happy(X))<=>~patient(X)))&
(![X]:((curious(X)<~>~rich(X))<... | kind(lucy) | [] | null | 0 |
If lucy is quiet or curious then someone is humble or not humble and vice versa.
If alice is not calm then someone is both not generous and calm and vice versa.
Everyone who is not strong is happy or not strong.
If paul is not patient or not generous then someone is both not brave and tall and vice versa.
Everyone who ... | John is calm. | neutral | (((quiet(lucy)|curious(lucy)))<=>(?[X]:((humble(X)|~humble(X)))))&
((~calm(alice))<=>(?[X]:((~generous(X)&calm(X)))))&
(![X]:(~strong(X)=>(happy(X)|~strong(X))))&
(((~patient(paul)|~generous(paul)))<=>(?[X]:((~brave(X)&tall(X)))))&
(![X]:((curious(X)&patient(X))=>~wise(X)))&
(![X]:((~rich(X)&curious(X))<=>(~quiet(X)|~h... | calm(john) | [] | null | 0 |
If someone is either strong or curious then susan is both strong and not strong and vice versa.
Everyone who is not generous is not wise.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both kind and not generous is either not calm or rich and... | Alice is not kind. | entailment | ((?[X]:((strong(X)<~>curious(X))))<=>((strong(susan)&~strong(susan))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>patient(X)))&
(![X]:(creative(X)<=>(rich(X)<~>~qui... | ~kind(alice) | [
"p1",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 111189068581629318060322
% SZS output start Proof for 111189068581629318060322
2. ! [X0] : (~generous(X0) => ~wise(X0)) [input p1]
8. ? [X0] : (~happy(X0) | kind(X0)) <=> ? [X0] : (~humble(X0) & ~generous(X0)) [input p7]
11. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~humble(X0) & ~wise(X... | 0 |
Everyone who is strong or not kind is old.
If mary is either not brave or not quiet then someone is both not patient and not curious and vice versa.
Everyone who is not funny or not kind is creative.
Everyone who is both not rich and not tall is both curious and not wise and vice versa.
If someone is both quiet and kin... | Alice is not curious. | contradiction | (![X]:((strong(X)|~kind(X))=>old(X)))&
(((~brave(mary)<~>~quiet(mary)))<=>(?[X]:((~patient(X)&~curious(X)))))&
(![X]:((~funny(X)|~kind(X))=>creative(X)))&
(![X]:((~rich(X)&~tall(X))<=>(curious(X)&~wise(X))))&
((?[X]:((quiet(X)&kind(X))))<=>(?[X]:((brave(X)<~>creative(X)))))&
((?[X]:((~curious(X)|brave(X))))<=>(?[X]:((c... | ~curious(alice) | [
"p0",
"p5",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5550847059252696211243898
% SZS output start Proof for 5550847059252696211243898
1. ! [X0] : ((~kind(X0) | strong(X0)) => old(X0)) [input p0]
6. ? [X0] : (brave(X0) | ~curious(X0)) <=> ? [X0] : (~happy(X0) & calm(X0)) [input p5]
11. ! [X0] : (humble(X0) <=> (quiet(X0) & ~old(X0))) [input ... | 0 |
Everyone who is both not old and not patient is either quiet or not old.
If someone is not funny or old then someone is either curious or rich.
If alice is both old and rich then lucy is not rich and vice versa.
Everyone who is both not patient and not rich is either creative or humble and vice versa.
Everyone who is f... | Alice is funny. | neutral | (![X]:((~old(X)&~patient(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((~funny(X)|old(X))))=>(?[X]:((curious(X)<~>rich(X)))))&
(((old(alice)&rich(alice)))<=>(~rich(lucy)))&
(![X]:((~patient(X)&~rich(X))<=>(creative(X)<~>humble(X))))&
(![X]:((funny(X)|generous(X))=>(~strong(X)&~kind(X))))&
(((~old(paul)<~>~rich(paul)))<=>(~creat... | funny(alice) | [] | null | 0 |
If someone is either quiet or not patient then someone is either not creative or quiet and vice versa. If john is both not generous and wise then fred is either not creative or not generous and vice versa. Everyone who is not strong or not brave is either not quiet or happy and vice versa. Everyone who is both patient ... | Mary is curious. | neutral | ((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(((~generous(john)&wise(john)))<=>((~creative(fred)<~>~generous(fred))))&
(![X]:((~strong(X)|~brave(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((patient(X)&~old(X))<=>(rich(X)<~>humble(X))))&
(![X]:((patient(X)|happy(X))<=>(strong(X)|~curious(X))))&
(... | curious(mary) | [] | null | 0 |
Everyone who is funny is either not kind or creative and vice versa.
Everyone who is calm or quiet is not funny and vice versa.
If susan is happy then someone is both not creative and tall.
Everyone who is either curious or brave is either tall or not funny and vice versa.
If fred is both creative and quiet then someon... | John is strong. | entailment | (![X]:(funny(X)<=>(~kind(X)<~>creative(X))))&
(![X]:((calm(X)|quiet(X))<=>~funny(X)))&
((happy(susan))=>(?[X]:((~creative(X)&tall(X)))))&
(![X]:((curious(X)<~>brave(X))<=>(tall(X)<~>~funny(X))))&
(((creative(fred)&quiet(fred)))<=>(?[X]:((~strong(X)&~generous(X)))))&
(![X]:((~rich(X)|calm(X))<=>(quiet(X)|~rich(X))))&
((... | strong(john) | [
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7822603839010301956593689
% SZS output start Proof for 7822603839010301956593689
9. ! [X0] : ((generous(X0) | tall(X0)) <=> humble(X0)) [input p8]
12. ! [X0] : ((strong(X0) & ~old(X0)) <=> (humble(X0) | ~brave(X0))) [input p11]
21. generous(john) & ~creative(john) [input p20]
24. ~strong(... | 0 |
If someone is brave then john is rich or not rich.
If someone is either strong or curious then susan is both strong and not strong and vice versa.
Everyone who is not generous is not wise.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both k... | John is not happy. | contradiction | ((?[X]:(brave(X)))=>((rich(john)|~rich(john))))&
((?[X]:((strong(X)<~>curious(X))))<=>((strong(susan)&~strong(susan))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>p... | ~happy(john) | [
"p2",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6646306580330123177532475
% SZS output start Proof for 6646306580330123177532475
3. ! [X0] : (~generous(X0) => ~wise(X0)) [input p2]
9. ? [X0] : (~happy(X0) | kind(X0)) <=> ? [X0] : (~humble(X0) & ~generous(X0)) [input p8]
12. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~humble(X0) & ~wise... | 0 |
Everyone who is either not creative or not old is patient.
If someone is tall then someone is kind and vice versa.
Everyone who is humble or rich is either not strong or not happy.
Everyone who is either not generous or not creative is strong or wise and vice versa.
Everyone who is curious is not wise and vice versa.
E... | Alice is wise. | contradiction | (![X]:((~creative(X)<~>~old(X))=>patient(X)))&
((?[X]:(tall(X)))<=>(?[X]:(kind(X))))&
(![X]:((humble(X)|rich(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>~creative(X))<=>(strong(X)|wise(X))))&
(![X]:(curious(X)<=>~wise(X)))&
(![X]:((~old(X)&kind(X))=>(rich(X)&curious(X))))&
((?[X]:(~old(X)))=>((~curious(alic... | wise(alice) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7978075380943466991329582
% SZS output start Proof for 7978075380943466991329582
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => patient(X0)) [input p0]
4. ! [X0] : ((~generous(X0) <~> ~creative(X0)) <=> (wise(X0) | strong(X0))) [input p3]
5. ! [X0] : (curious(X0) <=> ~wise(X0)) [input p4]
7... | 0 |
If someone is not wise or kind then lucy is either quiet or not generous and vice versa.
If someone is not quiet or not curious then fred is brave and vice versa.
If paul is both not tall and not creative then alice is strong.
Everyone who is either funny or happy is either not strong or brave.
If mary is happy then so... | Fred is not rich. | contradiction | ((?[X]:((~wise(X)|kind(X))))<=>((quiet(lucy)<~>~generous(lucy))))&
((?[X]:((~quiet(X)|~curious(X))))<=>(brave(fred)))&
(((~tall(paul)&~creative(paul)))=>(strong(alice)))&
(![X]:((funny(X)<~>happy(X))=>(~strong(X)<~>brave(X))))&
((happy(mary))=>(?[X]:((~wise(X)&~humble(X)))))&
(![X]:((rich(X)|~kind(X))<=>(calm(X)<~>~qui... | ~rich(fred) | [
"p5",
"p11",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2124861159204571011702562
% SZS output start Proof for 2124861159204571011702562
6. ! [X0] : ((~kind(X0) | rich(X0)) <=> (calm(X0) <~> ~quiet(X0))) [input p5]
12. ! [X0] : ((~quiet(X0) & calm(X0)) => (~kind(X0) & happy(X0))) [input p11]
16. ! [X0] : (calm(X0) <=> (patient(X0) | ~kind(X0))... | 0 |
Everyone who is both brave and not creative is strong and vice versa.
If someone is either not creative or not wise then mary is both not generous and strong and vice versa.
If lucy is either not calm or not tall then alice is not brave or not wise and vice versa.
Everyone who is kind or strong is either not wise or no... | Paul is not old. | entailment | (![X]:((brave(X)&~creative(X))<=>strong(X)))&
((?[X]:((~creative(X)<~>~wise(X))))<=>((~generous(mary)&strong(mary))))&
(((~calm(lucy)<~>~tall(lucy)))<=>((~brave(alice)|~wise(alice))))&
(![X]:((kind(X)|strong(X))<=>(~wise(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>~kind(X))=>~funny(X)))&
(![X]:(~wise(X)<=>(~calm(X)|~patie... | ~old(paul) | [
"p7",
"p11",
"p13",
"p15",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4602774745695478669564464
% SZS output start Proof for 4602774745695478669564464
8. ! [X0] : ((quiet(X0) & funny(X0)) <=> (~curious(X0) | funny(X0))) [input p7]
12. ! [X0] : ((curious(X0) & ~happy(X0)) <=> rich(X0)) [input p11]
14. ! [X0] : ((rich(X0) & calm(X0)) <=> funny(X0)) [input p13... | 0 |
Everyone who is either not funny or generous is either quiet or patient.
If lucy is both not rich and generous then lucy is both not quiet and old and vice versa.
If fred is not quiet or not strong then mary is not calm and vice versa.
If mary is either not curious or not quiet then someone is both not kind and curious... | Mary is not funny. | contradiction | (![X]:((~funny(X)<~>generous(X))=>(quiet(X)<~>patient(X))))&
(((~rich(lucy)&generous(lucy)))<=>((~quiet(lucy)&old(lucy))))&
(((~quiet(fred)|~strong(fred)))<=>(~calm(mary)))&
(((~curious(mary)<~>~quiet(mary)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((old(X)<~>brave(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~happy(alice)&... | ~funny(mary) | [
"p4",
"p5",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4612464125335258560246293
% SZS output start Proof for 4612464125335258560246293
5. ! [X0] : ((old(X0) <~> brave(X0)) <=> ~tall(X0)) [input p4]
6. ? [X0] : old(X0) <=> (brave(alice) & ~happy(alice)) [input p5]
7. ! [X0] : ((~generous(X0) | humble(X0)) <=> (quiet(X0) <~> tall(X0))) [input ... | 0 |
If someone is not brave then someone is either funny or not rich. Everyone who is either kind or strong is either not funny or calm. If someone is calm or creative then someone is both brave and rich. Everyone who is either brave or patient is not rich and vice versa. Everyone who is not tall is not happy. Everyone who... | Paul is brave. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((funny(X)<~>~rich(X)))))&
(![X]:((kind(X)<~>strong(X))=>(~funny(X)<~>calm(X))))&
((?[X]:((calm(X)|creative(X))))=>(?[X]:((brave(X)&rich(X)))))&
(![X]:((brave(X)<~>patient(X))<=>~rich(X)))&
(![X]:(~tall(X)=>~happy(X)))&
(![X]:((calm(X)<~>tall(X))<=>(~rich(X)&~tall(X))))&
(![X]:(~kind(X)=>(~ki... | brave(paul) | [] | null | 0 |
Everyone who is both humble and curious is humble and vice versa.
Everyone who is both not tall and humble is not rich or not generous and vice versa.
If mary is both happy and not old then someone is not humble.
If someone is happy then susan is both not curious and not generous.
Everyone who is generous or not brave ... | John is curious. | contradiction | (![X]:((humble(X)&curious(X))<=>humble(X)))&
(![X]:((~tall(X)&humble(X))<=>(~rich(X)|~generous(X))))&
(((happy(mary)&~old(mary)))=>(?[X]:(~humble(X))))&
((?[X]:(happy(X)))=>((~curious(susan)&~generous(susan))))&
(![X]:((generous(X)|~brave(X))=>(~wise(X)<~>tall(X))))&
((~patient(john))=>(?[X]:((rich(X)<~>kind(X)))))&
(!... | curious(john) | [
"p0",
"p1",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8357892667356997160660994
% SZS output start Proof for 8357892667356997160660994
1. ! [X0] : ((curious(X0) & humble(X0)) <=> humble(X0)) [input p0]
2. ! [X0] : ((humble(X0) & ~tall(X0)) <=> (~generous(X0) | ~rich(X0))) [input p1]
4. ? [X0] : happy(X0) => (~generous(susan) & ~curious(susan... | 0 |
Everyone who is either not creative or happy is both quiet and not quiet and vice versa.
Everyone who is not humble or not strong is both rich and humble and vice versa.
Everyone who is either rich or not patient is generous or brave.
If paul is either not curious or not creative then susan is either not curious or wis... | Susan is not calm. | neutral | (![X]:((~creative(X)<~>happy(X))<=>(quiet(X)&~quiet(X))))&
(![X]:((~humble(X)|~strong(X))<=>(rich(X)&humble(X))))&
(![X]:((rich(X)<~>~patient(X))=>(generous(X)|brave(X))))&
(((~curious(paul)<~>~creative(paul)))<=>((~curious(susan)<~>wise(susan))))&
(![X]:((~wise(X)<~>~funny(X))<=>~humble(X)))&
(![X]:((strong(X)|~happy(... | ~calm(susan) | [] | null | 0 |
If paul is either patient or quiet then paul is rich and vice versa.
Everyone who is either not creative or wise is both not patient and not tall and vice versa.
Everyone who is rich is patient or not funny and vice versa.
If mary is both creative and not creative then someone is brave or tall.
If lucy is both not pati... | Paul is not funny. | contradiction | (((patient(paul)<~>quiet(paul)))<=>(rich(paul)))&
(![X]:((~creative(X)<~>wise(X))<=>(~patient(X)&~tall(X))))&
(![X]:(rich(X)<=>(patient(X)|~funny(X))))&
(((creative(mary)&~creative(mary)))=>(?[X]:((brave(X)|tall(X)))))&
(((~patient(lucy)&kind(lucy)))<=>((brave(paul)<~>~old(paul))))&
(![X]:((~rich(X)<~>~funny(X))<=>~tal... | ~funny(paul) | [
"p2",
"p5",
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6061314295438309728387220
% SZS output start Proof for 6061314295438309728387220
3. ! [X0] : (rich(X0) <=> (~funny(X0) | patient(X0))) [input p2]
6. ! [X0] : ((~rich(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p5]
8. ! [X0] : (~tall(X0) => (~rich(X0) <~> happy(X0))) [input p7]
9. (~generous... | 0 |
If mary is creative or not happy then someone is creative or kind and vice versa.
If someone is tall or not humble then john is not funny.
If john is not humble then lucy is both generous and quiet.
Everyone who is either happy or not creative is creative or not generous.
Everyone who is either not funny or patient is ... | Lucy is kind. | entailment | (((creative(mary)|~happy(mary)))<=>(?[X]:((creative(X)|kind(X)))))&
((?[X]:((tall(X)|~humble(X))))=>(~funny(john)))&
((~humble(john))=>((generous(lucy)&quiet(lucy))))&
(![X]:((happy(X)<~>~creative(X))=>(creative(X)|~generous(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~old(X)&tall(X))))&
((~generous(susan))=>(?[X]:((happy... | kind(lucy) | [
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1710432733074220531227814
% SZS output start Proof for 1710432733074220531227814
8. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p7]
12. ! [X0] : (~humble(X0) <=> (kind(X0) | creative(X0))) [input p11]
25. ~kind(lucy) [input hypothesis]
49. ! [X0] : ... | 0 |
If someone is both not creative and not happy then fred is not quiet and vice versa. Everyone who is either not old or not kind is both not rich and brave and vice versa. If someone is either not creative or quiet then someone is not generous and vice versa. Everyone who is either not quiet or kind is either not strong... | Fred is brave. | entailment | ((?[X]:((~creative(X)&~happy(X))))<=>(~quiet(fred)))&
(![X]:((~old(X)<~>~kind(X))<=>(~rich(X)&brave(X))))&
((?[X]:((~creative(X)<~>quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~quiet(X)<~>kind(X))=>(~strong(X)<~>brave(X))))&
((?[X]:(old(X)))=>((funny(paul)&rich(paul))))&
((~brave(paul))<=>(?[X]:((~happy(X)|old(X)))))&... | brave(fred) | [
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4897205319575298463855001
% SZS output start Proof for 4897205319575298463855001
7. ? [X0] : (creative(X0) | ~tall(X0)) <=> (strong(paul) & ~brave(paul)) [input p6]
9. ! [X0] : ((~tall(X0) | ~curious(X0)) => (~strong(X0) & generous(X0))) [input p8]
11. ! [X0] : ((~brave(X0) | kind(X0)) =>... | 0 |
If john is both patient and tall then lucy is both not kind and not calm and vice versa. Everyone who is both not rich and not kind is both not creative and not old. Everyone who is calm or not brave is either not rich or calm. Everyone who is not calm or not creative is old and vice versa. Everyone who is not generous... | Lucy is calm. | entailment | (((patient(john)&tall(john)))<=>((~kind(lucy)&~calm(lucy))))&
(![X]:((~rich(X)&~kind(X))=>(~creative(X)&~old(X))))&
(![X]:((calm(X)|~brave(X))=>(~rich(X)<~>calm(X))))&
(![X]:((~calm(X)|~creative(X))<=>old(X)))&
(![X]:(~generous(X)<=>patient(X)))&
(![X]:((~brave(X)&strong(X))<=>~humble(X)))&
(![X]:((generous(X)<~>~tall(... | calm(lucy) | [
"p2",
"p8",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6549908141465664678608789
% SZS output start Proof for 6549908141465664678608789
3. ! [X0] : ((~brave(X0) | calm(X0)) => (~rich(X0) <~> calm(X0))) [input p2]
9. ! [X0] : ((brave(X0) | humble(X0)) => (funny(X0) | ~brave(X0))) [input p8]
11. ! [X0] : ((~calm(X0) | tall(X0)) <=> (~funny(X0) ... | 0 |
Everyone who is curious is either curious or not kind.
If mary is either not quiet or strong then someone is both patient and not rich.
Everyone who is either not rich or generous is either not patient or strong and vice versa.
If mary is both happy and generous then susan is both old and curious and vice versa.
Everyo... | Alice is calm. | contradiction | (![X]:(curious(X)=>(curious(X)<~>~kind(X))))&
(((~quiet(mary)<~>strong(mary)))=>(?[X]:((patient(X)&~rich(X)))))&
(![X]:((~rich(X)<~>generous(X))<=>(~patient(X)<~>strong(X))))&
(((happy(mary)&generous(mary)))<=>((old(susan)&curious(susan))))&
(![X]:((~happy(X)<~>calm(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((~funny(... | calm(alice) | [
"p4",
"p10",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7946846973783487112793793
% SZS output start Proof for 7946846973783487112793793
5. ! [X0] : ((~happy(X0) <~> calm(X0)) <=> (generous(X0) <~> ~creative(X0))) [input p4]
11. ! [X0] : ((~creative(X0) | quiet(X0)) => happy(X0)) [input p10]
12. ! [X0] : ((calm(X0) & generous(X0)) <=> (calm(X0... | 0 |
Everyone who is wise or patient is not patient and vice versa.
Everyone who is quiet or kind is not brave or wise and vice versa.
If susan is not happy or not generous then someone is both not generous and kind and vice versa.
Everyone who is brave or not generous is both old and calm and vice versa.
Everyone who is ei... | Susan is calm. | entailment | (![X]:((wise(X)|patient(X))<=>~patient(X)))&
(![X]:((quiet(X)|kind(X))<=>(~brave(X)|wise(X))))&
(((~happy(susan)|~generous(susan)))<=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((brave(X)|~generous(X))<=>(old(X)&calm(X))))&
(![X]:((funny(X)<~>rich(X))<=>(generous(X)<~>calm(X))))&
((?[X]:(~rich(X)))=>((~brave(lucy)&tall(lu... | calm(susan) | [
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 737413348785565712266190
% SZS output start Proof for 737413348785565712266190
4. ! [X0] : ((~generous(X0) | brave(X0)) <=> (calm(X0) & old(X0))) [input p3]
13. ! [X0] : ((~brave(X0) | calm(X0)) => (~funny(X0) & calm(X0))) [input p12]
23. ~calm(susan) [input hypothesis]
29. ! [X0] : ((~fu... | 0 |
Everyone who is either not old or funny is either rich or calm and vice versa.
Everyone who is both not strong and happy is not patient.
If someone is both not funny and happy then someone is both not strong and not creative.
If paul is both not humble and not strong then someone is both not kind and tall and vice vers... | Susan is not happy. | entailment | (![X]:((~old(X)<~>funny(X))<=>(rich(X)<~>calm(X))))&
(![X]:((~strong(X)&happy(X))=>~patient(X)))&
((?[X]:((~funny(X)&happy(X))))=>(?[X]:((~strong(X)&~creative(X)))))&
(((~humble(paul)&~strong(paul)))<=>(?[X]:((~kind(X)&tall(X)))))&
(![X]:((happy(X)|~strong(X))=>~brave(X)))&
((?[X]:((~strong(X)|humble(X))))<=>(?[X]:(~ha... | ~happy(susan) | [
"p4",
"p7",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 69605809960976701757769
% SZS output start Proof for 69605809960976701757769
5. ! [X0] : ((~strong(X0) | happy(X0)) => ~brave(X0)) [input p4]
8. ! [X0] : ((old(X0) & tall(X0)) <=> (~quiet(X0) | ~brave(X0))) [input p7]
15. ! [X0] : ((~happy(X0) <~> rich(X0)) <=> (~brave(X0) & tall(X0))) [i... | 0 |
Everyone who is generous or not rich is both not happy and patient. If someone is either old or not calm then lucy is either rich or not funny and vice versa. If someone is both strong and happy then mary is either tall or not wise and vice versa. If someone is either quiet or tall then someone is not calm and vice ver... | Mary is not generous. | entailment | (![X]:((generous(X)|~rich(X))=>(~happy(X)&patient(X))))&
((?[X]:((old(X)<~>~calm(X))))<=>((rich(lucy)<~>~funny(lucy))))&
((?[X]:((strong(X)&happy(X))))<=>((tall(mary)<~>~wise(mary))))&
((?[X]:((quiet(X)<~>tall(X))))<=>(?[X]:(~calm(X))))&
(((funny(susan)<~>curious(susan)))=>(?[X]:(quiet(X))))&
((?[X]:(happy(X)))=>(?[X]:... | ~generous(mary) | [
"p0",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5820923381514136817773085
% SZS output start Proof for 5820923381514136817773085
1. ! [X0] : ((~rich(X0) | generous(X0)) => (patient(X0) & ~happy(X0))) [input p0]
9. ! [X0] : ((generous(X0) <~> ~patient(X0)) => (~happy(X0) & tall(X0))) [input p8]
10. ! [X0] : ((~patient(X0) <~> tall(X0)) ... | 0 |
If someone is both humble and old then lucy is not patient and vice versa.
Everyone who is not calm or not quiet is both not patient and patient.
Everyone who is either humble or not kind is not brave or not funny and vice versa.
Everyone who is both not calm and not happy is not generous or not rich.
Everyone who is e... | Lucy is happy. | neutral | ((?[X]:((humble(X)&old(X))))<=>(~patient(lucy)))&
(![X]:((~calm(X)|~quiet(X))=>(~patient(X)&patient(X))))&
(![X]:((humble(X)<~>~kind(X))<=>(~brave(X)|~funny(X))))&
(![X]:((~calm(X)&~happy(X))=>(~generous(X)|~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>(kind(X)|funny(X))))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]... | happy(lucy) | [] | null | 0 |
Everyone who is not old is tall and vice versa. If someone is not calm or humble then someone is calm. If someone is not tall or happy then someone is either kind or humble and vice versa. If someone is generous or not brave then alice is not calm or not curious and vice versa. Everyone who is rich or happy is wise or ... | Mary is rich. | neutral | (![X]:(~old(X)<=>tall(X)))&
((?[X]:((~calm(X)|humble(X))))=>(?[X]:(calm(X))))&
((?[X]:((~tall(X)|happy(X))))<=>(?[X]:((kind(X)<~>humble(X)))))&
((?[X]:((generous(X)|~brave(X))))<=>((~calm(alice)|~curious(alice))))&
(![X]:((rich(X)|happy(X))<=>(wise(X)|~old(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~happy(X)|humble(X))))... | rich(mary) | [] | null | 0 |
Everyone who is either not patient or not curious is both not creative and rich. Everyone who is not brave or curious is both strong and not strong and vice versa. If someone is not wise or not patient then someone is both generous and not kind. Everyone who is curious or not curious is either not creative or not kind ... | Paul is not generous. | neutral | (![X]:((~patient(X)<~>~curious(X))=>(~creative(X)&rich(X))))&
(![X]:((~brave(X)|curious(X))<=>(strong(X)&~strong(X))))&
((?[X]:((~wise(X)|~patient(X))))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:((curious(X)|~curious(X))<=>(~creative(X)<~>~kind(X))))&
(![X]:(creative(X)=>(old(X)|patient(X))))&
(![X]:((generous(X)<~>kind... | ~generous(paul) | [] | null | 0 |
If someone is funny or not calm then someone is not happy and vice versa. Everyone who is strong is both patient and brave and vice versa. Everyone who is not humble or not funny is both not quiet and not creative. If someone is not kind then someone is not wise or funny. Everyone who is either old or curious is either... | Susan is not calm. | contradiction | ((?[X]:((funny(X)|~calm(X))))<=>(?[X]:(~happy(X))))&
(![X]:(strong(X)<=>(patient(X)&brave(X))))&
(![X]:((~humble(X)|~funny(X))=>(~quiet(X)&~creative(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~wise(X)|funny(X)))))&
(![X]:((old(X)<~>curious(X))=>(humble(X)<~>~generous(X))))&
(![X]:((humble(X)&~wise(X))<=>rich(X)))&
(![X]:((quie... | ~calm(susan) | [
"p1",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 71867005261046336488002
% SZS output start Proof for 71867005261046336488002
2. ! [X0] : (strong(X0) <=> (brave(X0) & patient(X0))) [input p1]
7. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> ~quiet(X0)) [input p6]
10. ! [X0] : (~patient(X0) <=> (~calm(X0) | generous(X0))) [input p9]
11. ? [X0... | 0 |
If someone is not calm then susan is either not kind or happy and vice versa.
If paul is not wise then mary is not tall and vice versa.
If fred is either humble or old then someone is not brave and vice versa.
If someone is both old and not rich then someone is either not brave or strong and vice versa.
Everyone who is... | Lucy is curious. | entailment | ((?[X]:(~calm(X)))<=>((~kind(susan)<~>happy(susan))))&
((~wise(paul))<=>(~tall(mary)))&
(((humble(fred)<~>old(fred)))<=>(?[X]:(~brave(X))))&
((?[X]:((old(X)&~rich(X))))<=>(?[X]:((~brave(X)<~>strong(X)))))&
(![X]:((patient(X)&~kind(X))=>(calm(X)&~kind(X))))&
(![X]:((brave(X)<~>~rich(X))<=>(creative(X)|happy(X))))&
(((cu... | curious(lucy) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1383463854705782466331038
% SZS output start Proof for 1383463854705782466331038
21. curious(lucy) [input p20]
25. ~curious(lucy) [input hypothesis]
139. curious(lucy) [cnf transformation 21]
144. ~curious(lucy) [cnf transformation 25]
225. 18 <=> curious(lucy) [avatar definition]
335. 18... | 0 |
Everyone who is either not wise or not funny is not quiet or not tall.
Everyone who is both rich and not kind is either not funny or not brave and vice versa.
If susan is brave or happy then someone is brave or tall and vice versa.
If someone is not quiet or not curious then paul is both quiet and funny.
Everyone who i... | John is not calm. | contradiction | (![X]:((~wise(X)<~>~funny(X))=>(~quiet(X)|~tall(X))))&
(![X]:((rich(X)&~kind(X))<=>(~funny(X)<~>~brave(X))))&
(((brave(susan)|happy(susan)))<=>(?[X]:((brave(X)|tall(X)))))&
((?[X]:((~quiet(X)|~curious(X))))=>((quiet(paul)&funny(paul))))&
(![X]:(~patient(X)=>(funny(X)<~>~brave(X))))&
(![X]:((creative(X)<~>~quiet(X))<=>(... | ~calm(john) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3277298087909691486595536
% SZS output start Proof for 3277298087909691486595536
9. ! [X0] : ((~strong(X0) | patient(X0)) <=> (calm(X0) & happy(X0))) [input p8]
11. ! [X0] : ((~generous(X0) | strong(X0)) => (brave(X0) & ~brave(X0))) [input p10]
20. ~calm(john) [input hypothesis]
27. ! [X0... | 0 |
If someone is not wise then john is either not brave or calm.
Everyone who is either not calm or not rich is either patient or not funny and vice versa.
If lucy is both not wise and brave then someone is either not old or not happy and vice versa.
Everyone who is either not humble or tall is calm or not creative and vi... | Lucy is not rich. | neutral | ((?[X]:(~wise(X)))=>((~brave(john)<~>calm(john))))&
(![X]:((~calm(X)<~>~rich(X))<=>(patient(X)<~>~funny(X))))&
(((~wise(lucy)&brave(lucy)))<=>(?[X]:((~old(X)<~>~happy(X)))))&
(![X]:((~humble(X)<~>tall(X))<=>(calm(X)|~creative(X))))&
(![X]:((creative(X)<~>generous(X))=>(curious(X)|tall(X))))&
((?[X]:(calm(X)))<=>((happy... | ~rich(lucy) | [] | null | 0 |
If john is both not happy and not humble then someone is either not happy or not patient.
If paul is happy then someone is both rich and not calm and vice versa.
If someone is old then paul is both not humble and not brave and vice versa.
Everyone who is either tall or not quiet is both not humble and wise and vice ver... | Paul is not happy. | contradiction | (((~happy(john)&~humble(john)))=>(?[X]:((~happy(X)<~>~patient(X)))))&
((happy(paul))<=>(?[X]:((rich(X)&~calm(X)))))&
((?[X]:(old(X)))<=>((~humble(paul)&~brave(paul))))&
(![X]:((tall(X)<~>~quiet(X))<=>(~humble(X)&wise(X))))&
((?[X]:((humble(X)<~>creative(X))))=>(?[X]:((~strong(X)<~>calm(X)))))&
(![X]:((~quiet(X)&~tall(X... | ~happy(paul) | [
"p3",
"p5",
"p7",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3018101754390453331795893
% SZS output start Proof for 3018101754390453331795893
4. ! [X0] : ((tall(X0) <~> ~quiet(X0)) <=> (wise(X0) & ~humble(X0))) [input p3]
6. ! [X0] : ((~tall(X0) & ~quiet(X0)) <=> creative(X0)) [input p5]
8. ! [X0] : ((~creative(X0) <~> creative(X0)) => (curious(X0)... | 0 |
If susan is old then someone is both happy and patient.
Everyone who is both not funny and not patient is both not kind and old and vice versa.
Everyone who is not humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humble o... | Susan is not patient. | contradiction | ((old(susan))=>(?[X]:((happy(X)&patient(X)))))&
(![X]:((~funny(X)&~patient(X))<=>(~kind(X)&old(X))))&
(![X]:(~humble(X)=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
(((strong(john)|~... | ~patient(susan) | [
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3226012539971069222626041
% SZS output start Proof for 3226012539971069222626041
4. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p3]
8. ! [X0] : (~quiet(X0) => patient(X0)) [input p7]
10. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p9]
14. !... | 0 |
Everyone who is strong is either old or patient. If mary is both not humble and brave then someone is both rich and not creative and vice versa. If john is not strong then lucy is not rich or tall. Everyone who is either humble or brave is either not strong or calm. If someone is not humble then susan is either not ric... | John is not happy. | neutral | (![X]:(strong(X)=>(old(X)<~>patient(X))))&
(((~humble(mary)&brave(mary)))<=>(?[X]:((rich(X)&~creative(X)))))&
((~strong(john))=>((~rich(lucy)|tall(lucy))))&
(![X]:((humble(X)<~>brave(X))=>(~strong(X)<~>calm(X))))&
((?[X]:(~humble(X)))<=>((~rich(susan)<~>creative(susan))))&
(![X]:((calm(X)&~quiet(X))<=>(~calm(X)|funny(X... | ~happy(john) | [] | null | 0 |
Everyone who is generous is both not wise and calm and vice versa.
Everyone who is both kind and not brave is either not funny or rich and vice versa.
If alice is both generous and brave then someone is both not strong and happy.
Everyone who is either humble or not humble is either curious or calm.
If someone is eithe... | Mary is curious. | contradiction | (![X]:(generous(X)<=>(~wise(X)&calm(X))))&
(![X]:((kind(X)&~brave(X))<=>(~funny(X)<~>rich(X))))&
(((generous(alice)&brave(alice)))=>(?[X]:((~strong(X)&happy(X)))))&
(![X]:((humble(X)<~>~humble(X))=>(curious(X)<~>calm(X))))&
((?[X]:((funny(X)<~>~brave(X))))<=>((kind(paul)|~kind(paul))))&
(![X]:(quiet(X)<=>(~wise(X)|~gen... | curious(mary) | [
"p0",
"p3",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5809341229357117941796045
% SZS output start Proof for 5809341229357117941796045
1. ! [X0] : (generous(X0) <=> (calm(X0) & ~wise(X0))) [input p0]
4. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (curious(X0) <~> calm(X0))) [input p3]
6. ! [X0] : (quiet(X0) <=> (~generous(X0) | ~wise(X0))) [in... | 0 |
Everyone who is not old is either kind or humble and vice versa.
Everyone who is either not tall or rich is not wise or humble and vice versa.
Everyone who is creative or calm is funny.
Everyone who is brave or not strong is either not patient or kind.
If john is not tall or strong then alice is both wise and brave.
Ev... | Lucy is patient. | contradiction | (![X]:(~old(X)<=>(kind(X)<~>humble(X))))&
(![X]:((~tall(X)<~>rich(X))<=>(~wise(X)|humble(X))))&
(![X]:((creative(X)|calm(X))=>funny(X)))&
(![X]:((brave(X)|~strong(X))=>(~patient(X)<~>kind(X))))&
(((~tall(john)|strong(john)))=>((wise(alice)&brave(alice))))&
(![X]:((~funny(X)&patient(X))=>(quiet(X)&kind(X))))&
((?[X]:((~... | patient(lucy) | [
"p1",
"p9",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4104648259259316995346085
% SZS output start Proof for 4104648259259316995346085
2. ! [X0] : ((~tall(X0) <~> rich(X0)) <=> (humble(X0) | ~wise(X0))) [input p1]
10. ! [X0] : ((tall(X0) | ~funny(X0)) <=> ~rich(X0)) [input p9]
12. ! [X0] : ((patient(X0) | happy(X0)) => rich(X0)) [input p11]
... | 0 |
If mary is either funny or kind then paul is not tall or generous.
If fred is generous or not strong then someone is not calm or funny.
Everyone who is either not funny or rich is not tall and vice versa.
Everyone who is not curious or tall is not creative and vice versa.
If someone is brave or not creative then someon... | Mary is kind. | neutral | (((funny(mary)<~>kind(mary)))=>((~tall(paul)|generous(paul))))&
(((generous(fred)|~strong(fred)))=>(?[X]:((~calm(X)|funny(X)))))&
(![X]:((~funny(X)<~>rich(X))<=>~tall(X)))&
(![X]:((~curious(X)|tall(X))<=>~creative(X)))&
((?[X]:((brave(X)|~creative(X))))=>(?[X]:((~wise(X)|tall(X)))))&
(![X]:(quiet(X)=>(wise(X)<~>kind(X)... | kind(mary) | [] | null | 0 |
Everyone who is not happy or not brave is rich or not funny and vice versa. Everyone who is either not quiet or not creative is both not quiet and not brave. Everyone who is both not wise and not old is tall or not happy. Everyone who is both not calm and not tall is not tall and vice versa. If someone is both not curi... | Fred is tall. | neutral | (![X]:((~happy(X)|~brave(X))<=>(rich(X)|~funny(X))))&
(![X]:((~quiet(X)<~>~creative(X))=>(~quiet(X)&~brave(X))))&
(![X]:((~wise(X)&~old(X))=>(tall(X)|~happy(X))))&
(![X]:((~calm(X)&~tall(X))<=>~tall(X)))&
((?[X]:((~curious(X)&~calm(X))))<=>((~strong(lucy)|creative(lucy))))&
((patient(fred))=>(?[X]:(rich(X))))&
(![X]:((... | tall(fred) | [] | null | 0 |
Everyone who is both wise and strong is funny or strong. Everyone who is creative or brave is happy and vice versa. If alice is not kind or kind then paul is old. Everyone who is not brave or not humble is tall and vice versa. Everyone who is not calm is not strong or not generous. Everyone who is not generous is both ... | John is not curious. | entailment | (![X]:((wise(X)&strong(X))=>(funny(X)|strong(X))))&
(![X]:((creative(X)|brave(X))<=>happy(X)))&
(((~kind(alice)|kind(alice)))=>(old(paul)))&
(![X]:((~brave(X)|~humble(X))<=>tall(X)))&
(![X]:(~calm(X)=>(~strong(X)|~generous(X))))&
(![X]:(~generous(X)<=>(~creative(X)&~humble(X))))&
((?[X]:((curious(X)|generous(X))))=>((g... | ~curious(john) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2505930720656473346755094
% SZS output start Proof for 2505930720656473346755094
2. ! [X0] : ((brave(X0) | creative(X0)) <=> happy(X0)) [input p1]
3. (kind(alice) | ~kind(alice)) => old(paul) [input p2]
5. ! [X0] : (~calm(X0) => (~generous(X0) | ~strong(X0))) [input p4]
6. ! [X0] : (~gene... | 0 |
If paul is either happy or not calm then someone is both happy and not tall. Everyone who is either not tall or not funny is not happy or not humble. If paul is not quiet then someone is humble or brave. Everyone who is funny is both happy and patient and vice versa. Everyone who is either wise or not creative is not c... | Susan is not tall. | neutral | (((happy(paul)<~>~calm(paul)))=>(?[X]:((happy(X)&~tall(X)))))&
(![X]:((~tall(X)<~>~funny(X))=>(~happy(X)|~humble(X))))&
((~quiet(paul))=>(?[X]:((humble(X)|brave(X)))))&
(![X]:(funny(X)<=>(happy(X)&patient(X))))&
(![X]:((wise(X)<~>~creative(X))=>~curious(X)))&
(((~strong(alice)|~rich(alice)))=>((~happy(fred)|patient(fre... | ~tall(susan) | [] | null | 0 |
If lucy is either funny or kind then fred is both humble and not wise.
Everyone who is both not quiet and not kind is both creative and not tall.
If someone is not creative then someone is either funny or strong.
Everyone who is both brave and not curious is quiet or wise and vice versa.
If someone is both humble and n... | John is wise. | contradiction | (((funny(lucy)<~>kind(lucy)))=>((humble(fred)&~wise(fred))))&
(![X]:((~quiet(X)&~kind(X))=>(creative(X)&~tall(X))))&
((?[X]:(~creative(X)))=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:((brave(X)&~curious(X))<=>(quiet(X)|wise(X))))&
((?[X]:((humble(X)&~kind(X))))<=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((~funny(X)<~>~h... | wise(john) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6486882091659845277203768
% SZS output start Proof for 6486882091659845277203768
4. ! [X0] : ((~curious(X0) & brave(X0)) <=> (wise(X0) | quiet(X0))) [input p3]
10. (quiet(john) & ~quiet(john)) <=> ? [X0] : brave(X0) [input p9]
25. wise(john) [input hypothesis]
43. ! [X0] : (((~curious(X0)... | 0 |
If john is not calm or not creative then someone is curious and vice versa.
Everyone who is both not generous and kind is both not quiet and not creative.
Everyone who is tall is not strong or not tall and vice versa.
If someone is humble then someone is both not creative and not humble and vice versa.
If lucy is both ... | John is generous. | contradiction | (((~calm(john)|~creative(john)))<=>(?[X]:(curious(X))))&
(![X]:((~generous(X)&kind(X))=>(~quiet(X)&~creative(X))))&
(![X]:(tall(X)<=>(~strong(X)|~tall(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~creative(X)&~humble(X)))))&
(((calm(lucy)&~funny(lucy)))=>(?[X]:((~kind(X)&~happy(X)))))&
(![X]:((curious(X)|old(X))<=>patient(X)))... | generous(john) | [
"p2",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1454634666045126155828712
% SZS output start Proof for 1454634666045126155828712
3. ! [X0] : (tall(X0) <=> (~tall(X0) | ~strong(X0))) [input p2]
13. ! [X0] : (strong(X0) <=> (generous(X0) & creative(X0))) [input p12]
16. ! [X0] : (~creative(X0) => (quiet(X0) & creative(X0))) [input p15]
2... | 0 |
Everyone who is both old and not happy is both not brave and happy.
If someone is either not wise or not strong then someone is both strong and funny.
Everyone who is not humble is both not wise and funny and vice versa.
Everyone who is not humble is either not curious or strong.
If someone is not brave or not kind the... | Alice is not creative. | neutral | (![X]:((old(X)&~happy(X))=>(~brave(X)&happy(X))))&
((?[X]:((~wise(X)<~>~strong(X))))=>(?[X]:((strong(X)&funny(X)))))&
(![X]:(~humble(X)<=>(~wise(X)&funny(X))))&
(![X]:(~humble(X)=>(~curious(X)<~>strong(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>((~patient(mary)|kind(mary))))&
(![X]:(~strong(X)=>(~funny(X)<~>~patient(X))))... | ~creative(alice) | [] | null | 0 |
If lucy is strong or not quiet then someone is tall and vice versa.
Everyone who is either not calm or not curious is either not happy or not creative and vice versa.
If someone is either wise or calm then lucy is either not calm or generous.
If someone is old or not patient then someone is not creative.
If someone is ... | Susan is not quiet. | entailment | (((strong(lucy)|~quiet(lucy)))<=>(?[X]:(tall(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(~happy(X)<~>~creative(X))))&
((?[X]:((wise(X)<~>calm(X))))=>((~calm(lucy)<~>generous(lucy))))&
((?[X]:((old(X)|~patient(X))))=>(?[X]:(~creative(X))))&
((?[X]:((~happy(X)|~kind(X))))=>((tall(susan)|creative(susan))))&
(![X]:((funny(X)... | ~quiet(susan) | [
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2994465285513473584762970
% SZS output start Proof for 2994465285513473584762970
8. ! [X0] : ((quiet(X0) | ~happy(X0)) <=> (~brave(X0) & old(X0))) [input p7]
21. ~old(susan) & ~kind(susan) [input p20]
25. quiet(susan) [input hypothesis]
57. ! [X0] : (((quiet(X0) | ~happy(X0)) | (brave(X0)... | 0 |
If fred is not happy or calm then someone is either brave or not strong and vice versa.
Everyone who is not funny is both strong and old.
If john is not brave then lucy is either rich or happy.
If someone is both not generous and curious then fred is both not wise and not funny and vice versa.
If john is generous then ... | Mary is not happy. | entailment | (((~happy(fred)|calm(fred)))<=>(?[X]:((brave(X)<~>~strong(X)))))&
(![X]:(~funny(X)=>(strong(X)&old(X))))&
((~brave(john))=>((rich(lucy)<~>happy(lucy))))&
((?[X]:((~generous(X)&curious(X))))<=>((~wise(fred)&~funny(fred))))&
((generous(john))<=>((calm(susan)|quiet(susan))))&
(![X]:(happy(X)=>(~brave(X)<~>quiet(X))))&
(![... | ~happy(mary) | [
"p1",
"p10",
"p12",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7244439107319609194984807
% SZS output start Proof for 7244439107319609194984807
2. ! [X0] : (~funny(X0) => (old(X0) & strong(X0))) [input p1]
11. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (~funny(X0) <~> quiet(X0))) [input p10]
13. ! [X0] : ((patient(X0) & generous(X0)) <=> (generous(X0)... | 0 |
Everyone who is not calm or not rich is creative.
If someone is either happy or not tall then paul is both not happy and not calm.
If someone is not generous then someone is humble or not rich and vice versa.
Everyone who is generous or not brave is kind and vice versa.
If susan is both humble and not brave then someon... | Paul is not creative. | contradiction | (![X]:((~calm(X)|~rich(X))=>creative(X)))&
((?[X]:((happy(X)<~>~tall(X))))=>((~happy(paul)&~calm(paul))))&
((?[X]:(~generous(X)))<=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((generous(X)|~brave(X))<=>kind(X)))&
(((humble(susan)&~brave(susan)))=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((tall(X)<~>happy(X))<=>~quiet(X)))&
(!... | ~creative(paul) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1739701048422428285220538
% SZS output start Proof for 1739701048422428285220538
1. ! [X0] : ((~rich(X0) | ~calm(X0)) => creative(X0)) [input p0]
2. ? [X0] : (happy(X0) <~> ~tall(X0)) => (~calm(paul) & ~happy(paul)) [input p1]
4. ! [X0] : ((~brave(X0) | generous(X0)) <=> kind(X0)) [input ... | 0 |
Everyone who is old is either strong or not old.
Everyone who is both not generous and creative is both creative and not wise and vice versa.
If alice is either strong or not calm then someone is either not curious or not tall.
Everyone who is either humble or not rich is both rich and not old and vice versa.
Everyone ... | Fred is quiet. | neutral | (![X]:(old(X)=>(strong(X)<~>~old(X))))&
(![X]:((~generous(X)&creative(X))<=>(creative(X)&~wise(X))))&
(((strong(alice)<~>~calm(alice)))=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![X]:((humble(X)<~>~rich(X))<=>(rich(X)&~old(X))))&
(![X]:((quiet(X)<~>~funny(X))=>generous(X)))&
(![X]:((generous(X)<~>brave(X))=>(~happy(X)<~>ge... | quiet(fred) | [] | null | 0 |
If someone is funny or generous then lucy is not calm. Everyone who is not tall is not calm or not kind and vice versa. Everyone who is either not strong or not happy is not quiet or kind and vice versa. Everyone who is not wise is old. If someone is both wise and brave then someone is not happy or quiet and vice versa... | Lucy is quiet. | entailment | ((?[X]:((funny(X)|generous(X))))=>(~calm(lucy)))&
(![X]:(~tall(X)<=>(~calm(X)|~kind(X))))&
(![X]:((~strong(X)<~>~happy(X))<=>(~quiet(X)|kind(X))))&
(![X]:(~wise(X)=>old(X)))&
((?[X]:((wise(X)&brave(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
((?[X]:((strong(X)<~>old(X))))<=>((strong(fred)|~curious(fred))))&
(![X]:((humble(... | quiet(lucy) | [
"p0",
"p1",
"p6",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 341653369708248866382447
% SZS output start Proof for 341653369708248866382447
1. ? [X0] : (generous(X0) | funny(X0)) => ~calm(lucy) [input p0]
2. ! [X0] : (~tall(X0) <=> (~kind(X0) | ~calm(X0))) [input p1]
7. ! [X0] : ((~tall(X0) | humble(X0)) <=> (~quiet(X0) <~> ~tall(X0))) [input p6]
1... | 0 |
If someone is not creative or wise then alice is either not calm or not wise and vice versa. If someone is rich or curious then someone is not calm. Everyone who is not brave or not strong is either rich or not curious. If someone is generous or not happy then someone is rich or not tall. Everyone who is quiet is both ... | Paul is strong. | entailment | ((?[X]:((~creative(X)|wise(X))))<=>((~calm(alice)<~>~wise(alice))))&
((?[X]:((rich(X)|curious(X))))=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)|~strong(X))=>(rich(X)<~>~curious(X))))&
((?[X]:((generous(X)|~happy(X))))=>(?[X]:((rich(X)|~tall(X)))))&
(![X]:(quiet(X)=>(calm(X)&brave(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(rich(X... | strong(paul) | [
"p2",
"p7",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4501745324370863638798041
% SZS output start Proof for 4501745324370863638798041
3. ! [X0] : ((~strong(X0) | ~brave(X0)) => (rich(X0) <~> ~curious(X0))) [input p2]
8. ! [X0] : (~strong(X0) <=> ~tall(X0)) [input p7]
16. ! [X0] : (~tall(X0) <=> (old(X0) & curious(X0))) [input p15]
17. ~rich... | 0 |
Everyone who is humble or quiet is brave or not humble and vice versa. Everyone who is both not patient and not rich is both patient and curious and vice versa. If someone is wise or not funny then lucy is both quiet and humble and vice versa. Everyone who is either calm or not generous is both strong and not brave. Ev... | Fred is wise. | contradiction | (![X]:((humble(X)|quiet(X))<=>(brave(X)|~humble(X))))&
(![X]:((~patient(X)&~rich(X))<=>(patient(X)&curious(X))))&
((?[X]:((wise(X)|~funny(X))))<=>((quiet(lucy)&humble(lucy))))&
(![X]:((calm(X)<~>~generous(X))=>(strong(X)&~brave(X))))&
(![X]:((~wise(X)&patient(X))<=>(~patient(X)&happy(X))))&
(((generous(fred)<~>~tall(fr... | wise(fred) | [
"p0",
"p1",
"p4",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7662321405309265357418632
% SZS output start Proof for 7662321405309265357418632
1. ! [X0] : ((quiet(X0) | humble(X0)) <=> (~humble(X0) | brave(X0))) [input p0]
2. ! [X0] : ((~rich(X0) & ~patient(X0)) <=> (curious(X0) & patient(X0))) [input p1]
5. ! [X0] : ((patient(X0) & ~wise(X0)) <=> (... | 0 |
Everyone who is either curious or not humble is creative or happy.
Everyone who is either not curious or not strong is curious or happy and vice versa.
If someone is both tall and not curious then lucy is both rich and curious and vice versa.
Everyone who is not calm or brave is both not quiet and generous and vice ver... | Lucy is creative. | entailment | (![X]:((curious(X)<~>~humble(X))=>(creative(X)|happy(X))))&
(![X]:((~curious(X)<~>~strong(X))<=>(curious(X)|happy(X))))&
((?[X]:((tall(X)&~curious(X))))<=>((rich(lucy)&curious(lucy))))&
(![X]:((~calm(X)|brave(X))<=>(~quiet(X)&generous(X))))&
(![X]:((~strong(X)|rich(X))=>creative(X)))&
((?[X]:(~calm(X)))=>(?[X]:(~humble... | creative(lucy) | [
"p1",
"p4",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 477074487495154217812683
% SZS output start Proof for 477074487495154217812683
2. ! [X0] : ((~curious(X0) <~> ~strong(X0)) <=> (happy(X0) | curious(X0))) [input p1]
5. ! [X0] : ((rich(X0) | ~strong(X0)) => creative(X0)) [input p4]
11. ! [X0] : (strong(X0) => ~old(X0)) [input p10]
16. (~hu... | 0 |
Everyone who is both rich and not happy is both not funny and strong. If someone is both not funny and funny then someone is not wise or not humble. Everyone who is both creative and not rich is brave or kind. If someone is both patient and not old then someone is not calm or humble. Everyone who is not humble or not c... | Lucy is not happy. | contradiction | (![X]:((rich(X)&~happy(X))=>(~funny(X)&strong(X))))&
((?[X]:((~funny(X)&funny(X))))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((creative(X)&~rich(X))=>(brave(X)|kind(X))))&
((?[X]:((patient(X)&~old(X))))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((~humble(X)|~curious(X))=>(~patient(X)&~tall(X))))&
((~quiet(fred))<=>(strong(... | ~happy(lucy) | [
"p0",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8444437946130124615279516
% SZS output start Proof for 8444437946130124615279516
1. ! [X0] : ((~happy(X0) & rich(X0)) => (strong(X0) & ~funny(X0))) [input p0]
7. ! [X0] : ((~rich(X0) & ~calm(X0)) <=> calm(X0)) [input p6]
13. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (~humble(X0) <~> happy(X0... | 0 |
If someone is not funny then someone is creative and vice versa.
Everyone who is both not curious and rich is not strong or not quiet and vice versa.
If someone is either not curious or creative then someone is generous.
If someone is curious or kind then someone is not generous and vice versa.
Everyone who is either b... | Alice is not brave. | entailment | ((?[X]:(~funny(X)))<=>(?[X]:(creative(X))))&
(![X]:((~curious(X)&rich(X))<=>(~strong(X)|~quiet(X))))&
((?[X]:((~curious(X)<~>creative(X))))=>(?[X]:(generous(X))))&
((?[X]:((curious(X)|kind(X))))<=>(?[X]:(~generous(X))))&
(![X]:((brave(X)<~>kind(X))<=>kind(X)))&
(((tall(john)|~generous(john)))<=>((~funny(paul)|~old(paul... | ~brave(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1976673471867543054955350
% SZS output start Proof for 1976673471867543054955350
5. ! [X0] : ((brave(X0) <~> kind(X0)) <=> kind(X0)) [input p4]
25. brave(alice) [input hypothesis]
56. ! [X0] : ((((~kind(X0) | ~brave(X0)) & (kind(X0) | brave(X0))) | ~kind(X0)) & (kind(X0) | ((brave(X0) | ~... | 0 |
If susan is either funny or happy then susan is both not old and not calm and vice versa. Everyone who is either quiet or funny is both funny and not old. Everyone who is not strong is funny or not strong. If alice is tall or not calm then susan is both creative and tall. Everyone who is either not funny or calm is not... | Susan is not strong. | contradiction | (((funny(susan)<~>happy(susan)))<=>((~old(susan)&~calm(susan))))&
(![X]:((quiet(X)<~>funny(X))=>(funny(X)&~old(X))))&
(![X]:(~strong(X)=>(funny(X)|~strong(X))))&
(((tall(alice)|~calm(alice)))=>((creative(susan)&tall(susan))))&
(![X]:((~funny(X)<~>calm(X))=>~funny(X)))&
(![X]:((curious(X)&~brave(X))<=>(~funny(X)<~>~stro... | ~strong(susan) | [
"p1",
"p5",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8444537410051882726444082
% SZS output start Proof for 8444537410051882726444082
2. ! [X0] : ((quiet(X0) <~> funny(X0)) => (~old(X0) & funny(X0))) [input p1]
6. ! [X0] : ((~brave(X0) & curious(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p5]
11. ! [X0] : ((wise(X0) <~> creative(X0)) <=> ... | 0 |
Everyone who is both rich and not rich is not happy.
If susan is not creative or not quiet then susan is both not happy and not creative and vice versa.
Everyone who is not funny or not wise is both not tall and rich and vice versa.
Everyone who is not curious is not kind or not tall.
Everyone who is both strong and pa... | Alice is not curious. | neutral | (![X]:((rich(X)&~rich(X))=>~happy(X)))&
(((~creative(susan)|~quiet(susan)))<=>((~happy(susan)&~creative(susan))))&
(![X]:((~funny(X)|~wise(X))<=>(~tall(X)&rich(X))))&
(![X]:(~curious(X)=>(~kind(X)|~tall(X))))&
(![X]:((strong(X)&patient(X))<=>~funny(X)))&
(![X]:((~brave(X)&~calm(X))<=>(~calm(X)&creative(X))))&
((?[X]:((... | ~curious(alice) | [] | null | 0 |
If mary is wise then john is not wise or not tall. Everyone who is either not curious or patient is old or not kind. Everyone who is not happy is both not strong and not patient. Everyone who is both brave and happy is not creative and vice versa. If john is both not strong and kind then someone is either calm or rich ... | John is not wise. | neutral | ((wise(mary))=>((~wise(john)|~tall(john))))&
(![X]:((~curious(X)<~>patient(X))=>(old(X)|~kind(X))))&
(![X]:(~happy(X)=>(~strong(X)&~patient(X))))&
(![X]:((brave(X)&happy(X))<=>~creative(X)))&
(((~strong(john)&kind(john)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~calm(X)&~generous(X))))&
(![X]... | ~wise(john) | [] | null | 0 |
Everyone who is not kind is not wise or calm and vice versa.
Everyone who is either generous or not tall is calm.
If alice is either not happy or curious then someone is both not quiet and calm and vice versa.
If someone is both old and rich then lucy is both not rich and not creative and vice versa.
If mary is both fu... | Mary is happy. | contradiction | (![X]:(~kind(X)<=>(~wise(X)|calm(X))))&
(![X]:((generous(X)<~>~tall(X))=>calm(X)))&
(((~happy(alice)<~>curious(alice)))<=>(?[X]:((~quiet(X)&calm(X)))))&
((?[X]:((old(X)&rich(X))))<=>((~rich(lucy)&~creative(lucy))))&
(((funny(mary)&old(mary)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(![X]:((~brave(X)&~kind(X))<=>(strong(X)|... | happy(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4022353540295806564144292
% SZS output start Proof for 4022353540295806564144292
10. ! [X0] : ((calm(X0) | ~calm(X0)) => ~happy(X0)) [input p9]
25. happy(mary) [input hypothesis]
30. ! [X0] : (~happy(X0) | (~calm(X0) & calm(X0))) [ennf transformation 10]
130. ~happy(X0) | calm(X0) [cnf tr... | 0 |
If lucy is both not wise and generous then susan is quiet and vice versa.
If someone is either not kind or rich then susan is patient or not creative and vice versa.
If someone is both not strong and strong then someone is either not kind or not brave.
Everyone who is not curious or calm is both not happy and not stron... | Lucy is funny. | entailment | (((~wise(lucy)&generous(lucy)))<=>(quiet(susan)))&
((?[X]:((~kind(X)<~>rich(X))))<=>((patient(susan)|~creative(susan))))&
((?[X]:((~strong(X)&strong(X))))=>(?[X]:((~kind(X)<~>~brave(X)))))&
(![X]:((~curious(X)|calm(X))=>(~happy(X)&~strong(X))))&
(((~humble(fred)&~kind(fred)))<=>((~humble(fred)|~brave(fred))))&
(![X]:(o... | funny(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 67375458474192473591275
% SZS output start Proof for 67375458474192473591275
13. ! [X0] : (funny(X0) <=> (~strong(X0) | strong(X0))) [input p12]
25. ~funny(lucy) [input hypothesis]
66. ! [X0] : ((funny(X0) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | strong(X0)) | ~funny(X0))) [nnf tra... | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is both not rich and not kind is either not wise or not brave.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either c... | Susan is funny. | entailment | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((~rich(X)&~kind(X))=>(~wise(X)<~>~brave(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious... | funny(susan) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9108541735002856279245629
% SZS output start Proof for 9108541735002856279245629
8. ! [X0] : ((~creative(X0) & curious(X0)) <=> (calm(X0) | ~funny(X0))) [input p7]
14. ~curious(susan) [input p13]
19. ~funny(susan) [input hypothesis]
32. ! [X0] : (((~creative(X0) & curious(X0)) | (~calm(X0... | 0 |
Everyone who is not calm or not rich is not brave and vice versa. Everyone who is rich or creative is not strong or not rich and vice versa. Everyone who is either not old or patient is not strong. If fred is not generous or curious then mary is not calm or generous. Everyone who is either kind or not kind is both happ... | Susan is not generous. | neutral | (![X]:((~calm(X)|~rich(X))<=>~brave(X)))&
(![X]:((rich(X)|creative(X))<=>(~strong(X)|~rich(X))))&
(![X]:((~old(X)<~>patient(X))=>~strong(X)))&
(((~generous(fred)|curious(fred)))=>((~calm(mary)|generous(mary))))&
(![X]:((kind(X)<~>~kind(X))<=>(happy(X)&~kind(X))))&
(![X]:(curious(X)=>(~happy(X)<~>brave(X))))&
((?[X]:((w... | ~generous(susan) | [] | null | 0 |
If someone is generous then someone is both not tall and rich.
If fred is both not curious and not tall then lucy is both creative and kind and vice versa.
If john is both not patient and creative then someone is both wise and not generous and vice versa.
Everyone who is either not strong or quiet is both not humble an... | Lucy is not happy. | neutral | ((?[X]:(generous(X)))=>(?[X]:((~tall(X)&rich(X)))))&
(((~curious(fred)&~tall(fred)))<=>((creative(lucy)&kind(lucy))))&
(((~patient(john)&creative(john)))<=>(?[X]:((wise(X)&~generous(X)))))&
(![X]:((~strong(X)<~>quiet(X))<=>(~humble(X)&happy(X))))&
(![X]:(creative(X)=>~funny(X)))&
(![X]:(kind(X)=>(brave(X)&~humble(X))))... | ~happy(lucy) | [] | null | 0 |
Everyone who is either not rich or humble is creative or wise.
Everyone who is both not calm and happy is not strong.
If lucy is not calm then someone is not calm.
If susan is either not quiet or patient then paul is both not quiet and strong and vice versa.
Everyone who is either curious or not rich is both not old an... | Mary is not calm. | contradiction | (![X]:((~rich(X)<~>humble(X))=>(creative(X)|wise(X))))&
(![X]:((~calm(X)&happy(X))=>~strong(X)))&
((~calm(lucy))=>(?[X]:(~calm(X))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fre... | ~calm(mary) | [
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3716103069308259297475319
% SZS output start Proof for 3716103069308259297475319
9. ? [X0] : (tall(X0) & ~quiet(X0)) <=> ? [X0] : quiet(X0) [input p8]
10. ! [X0] : (~creative(X0) <=> (creative(X0) | ~tall(X0))) [input p9]
11. ! [X0] : ((~old(X0) | ~quiet(X0)) => (calm(X0) & ~quiet(X0))) [... | 0 |
Everyone who is not calm is not tall.
Everyone who is not tall is not tall or strong and vice versa.
Everyone who is not wise or tall is calm or not brave and vice versa.
Everyone who is not strong or curious is both creative and brave and vice versa.
Everyone who is patient is not strong or not brave.
Everyone who is ... | John is generous. | neutral | (![X]:(~calm(X)=>~tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)|strong(X))))&
(![X]:((~wise(X)|tall(X))<=>(calm(X)|~brave(X))))&
(![X]:((~strong(X)|curious(X))<=>(creative(X)&brave(X))))&
(![X]:(patient(X)=>(~strong(X)|~brave(X))))&
(![X]:(humble(X)<=>(wise(X)&~humble(X))))&
((?[X]:((~happy(X)<~>~calm(X))))=>((generous(john)<... | generous(john) | [] | null | 0 |
If someone is wise then someone is tall or curious. If someone is not quiet or not brave then someone is happy and vice versa. Everyone who is either not wise or not creative is curious or not humble and vice versa. If someone is either generous or not happy then someone is kind. Everyone who is either curious or patie... | Susan is not brave. | neutral | ((?[X]:(wise(X)))=>(?[X]:((tall(X)|curious(X)))))&
((?[X]:((~quiet(X)|~brave(X))))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)<~>~creative(X))<=>(curious(X)|~humble(X))))&
((?[X]:((generous(X)<~>~happy(X))))=>(?[X]:(kind(X))))&
(![X]:((curious(X)<~>patient(X))<=>curious(X)))&
(![X]:(curious(X)=>~happy(X)))&
(![X]:((rich(X)<... | ~brave(susan) | [] | null | 0 |
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 is not kind or strong. If someone is both not patient and patient then someon... | Paul is funny. | contradiction | (((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))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(... | funny(paul) | [
"p6",
"p7",
"p9",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7602130078486455630144283
% SZS output start Proof for 7602130078486455630144283
7. ! [X0] : (funny(X0) <=> (tall(X0) <~> rich(X0))) [input p6]
8. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~patient(X0)) [input p7]
10. ? [X0] : tall(X0) <=> ? [X0] : (generous(X0) & ~quiet(X0)) [input p9]
13... | 0 |
If someone is either happy or not brave then susan is either not generous or generous.
Everyone who is both not wise and tall is either kind or old and vice versa.
If someone is kind then someone is not rich or strong.
If someone is rich or not patient then lucy is brave and vice versa.
Everyone who is both not brave a... | Lucy is not funny. | neutral | ((?[X]:((happy(X)<~>~brave(X))))=>((~generous(susan)<~>generous(susan))))&
(![X]:((~wise(X)&tall(X))<=>(kind(X)<~>old(X))))&
((?[X]:(kind(X)))=>(?[X]:((~rich(X)|strong(X)))))&
((?[X]:((rich(X)|~patient(X))))<=>(brave(lucy)))&
(![X]:((~brave(X)&~calm(X))<=>(humble(X)&~funny(X))))&
(![X]:(~creative(X)<=>(~happy(X)&quiet(... | ~funny(lucy) | [] | null | 0 |
Everyone who is both not creative and kind is patient or not curious.
If paul is both quiet and not humble then fred is old.
Everyone who is quiet or curious is both creative and not strong and vice versa.
Everyone who is not creative is brave and vice versa.
If someone is both strong and not rich then susan is both hu... | Mary is not funny. | neutral | (![X]:((~creative(X)&kind(X))=>(patient(X)|~curious(X))))&
(((quiet(paul)&~humble(paul)))=>(old(fred)))&
(![X]:((quiet(X)|curious(X))<=>(creative(X)&~strong(X))))&
(![X]:(~creative(X)<=>brave(X)))&
((?[X]:((strong(X)&~rich(X))))=>((humble(susan)&~tall(susan))))&
(![X]:((kind(X)<~>tall(X))=>(~rich(X)|~kind(X))))&
((?[X]... | ~funny(mary) | [] | null | 0 |
Everyone who is either not funny or kind is either generous or tall.
If someone is either funny or not rich then someone is both curious and not creative and vice versa.
Everyone who is not humble is either happy or tall and vice versa.
Everyone who is either not old or not happy is both happy and creative.
If someone ... | John is not generous. | neutral | (![X]:((~funny(X)<~>kind(X))=>(generous(X)<~>tall(X))))&
((?[X]:((funny(X)<~>~rich(X))))<=>(?[X]:((curious(X)&~creative(X)))))&
(![X]:(~humble(X)<=>(happy(X)<~>tall(X))))&
(![X]:((~old(X)<~>~happy(X))=>(happy(X)&creative(X))))&
((?[X]:((brave(X)&strong(X))))<=>(curious(lucy)))&
((?[X]:(creative(X)))=>(?[X]:(funny(X))))... | ~generous(john) | [] | null | 0 |
Everyone who is both not happy and old is strong. Everyone who is funny or not kind is either happy or not tall and vice versa. If someone is happy or strong then mary is not generous. Everyone who is not generous is either brave or not quiet and vice versa. If someone is either strong or happy then lucy is tall or gen... | Mary is not tall. | contradiction | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((funny(X)|~kind(X))<=>(happy(X)<~>~tall(X))))&
((?[X]:((happy(X)|strong(X))))=>(~generous(mary)))&
(![X]:(~generous(X)<=>(brave(X)<~>~quiet(X))))&
((?[X]:((strong(X)<~>happy(X))))=>((tall(lucy)|generous(lucy))))&
(![X]:((rich(X)&~kind(X))<=>creative(X)))&
(![X]:(~humble(X)... | ~tall(mary) | [
"p0",
"p1",
"p2",
"p7",
"p10",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7500706886734623090672438
% SZS output start Proof for 7500706886734623090672438
1. ! [X0] : ((old(X0) & ~happy(X0)) => strong(X0)) [input p0]
2. ! [X0] : ((~kind(X0) | funny(X0)) <=> (happy(X0) <~> ~tall(X0))) [input p1]
3. ? [X0] : (strong(X0) | happy(X0)) => ~generous(mary) [input p2]
... | 0 |
If someone is rich then lucy is calm or patient and vice versa.
If someone is both strong and generous then paul is not calm and vice versa.
Everyone who is not funny is not generous and vice versa.
Everyone who is brave or happy is either calm or curious and vice versa.
Everyone who is funny is either calm or not calm... | Paul is not kind. | entailment | ((?[X]:(rich(X)))<=>((calm(lucy)|patient(lucy))))&
((?[X]:((strong(X)&generous(X))))<=>(~calm(paul)))&
(![X]:(~funny(X)<=>~generous(X)))&
(![X]:((brave(X)|happy(X))<=>(calm(X)<~>curious(X))))&
(![X]:(funny(X)=>(calm(X)<~>~calm(X))))&
(![X]:((calm(X)|old(X))<=>quiet(X)))&
((?[X]:((funny(X)&rich(X))))<=>(?[X]:(kind(X))))... | ~kind(paul) | [
"p2",
"p6",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1883096264235975143163898
% SZS output start Proof for 1883096264235975143163898
3. ! [X0] : (~funny(X0) <=> ~generous(X0)) [input p2]
7. ? [X0] : (rich(X0) & funny(X0)) <=> ? [X0] : kind(X0) [input p6]
10. ! [X0] : ((~happy(X0) | ~patient(X0)) => ~funny(X0)) [input p9]
14. ! [X0] : ((wis... | 0 |
If someone is not humble then someone is not old or not wise.
Everyone who is both old and calm is both quiet and creative and vice versa.
If someone is either funny or not creative then someone is creative.
Everyone who is either not tall or not happy is humble and vice versa.
If susan is both not curious and not tall... | Susan is tall. | neutral | ((?[X]:(~humble(X)))=>(?[X]:((~old(X)|~wise(X)))))&
(![X]:((old(X)&calm(X))<=>(quiet(X)&creative(X))))&
((?[X]:((funny(X)<~>~creative(X))))=>(?[X]:(creative(X))))&
(![X]:((~tall(X)<~>~happy(X))<=>humble(X)))&
(((~curious(susan)&~tall(susan)))<=>(?[X]:((~old(X)|funny(X)))))&
(![X]:((rich(X)<~>~curious(X))=>(brave(X)&~hu... | tall(susan) | [] | null | 0 |
If someone is wise or not rich then susan is not patient or curious. Everyone who is not creative or not strong is both not brave and not strong and vice versa. If someone is not tall or curious then someone is both not happy and generous and vice versa. Everyone who is wise or not quiet is either not brave or strong. ... | Mary is not strong. | neutral | ((?[X]:((wise(X)|~rich(X))))=>((~patient(susan)|curious(susan))))&
(![X]:((~creative(X)|~strong(X))<=>(~brave(X)&~strong(X))))&
((?[X]:((~tall(X)|curious(X))))<=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:((wise(X)|~quiet(X))=>(~brave(X)<~>strong(X))))&
(![X]:((~curious(X)<~>tall(X))<=>(~patient(X)&~calm(X))))&
(((curiou... | ~strong(mary) | [] | null | 0 |
If lucy is either creative or not tall then someone is not calm or tall. Everyone who is patient is not tall or tall and vice versa. If mary is not quiet then john is both curious and not funny and vice versa. If someone is not tall then someone is both not kind and rich. Everyone who is not funny is either generous or... | Fred is old. | neutral | (((creative(lucy)<~>~tall(lucy)))=>(?[X]:((~calm(X)|tall(X)))))&
(![X]:(patient(X)<=>(~tall(X)|tall(X))))&
((~quiet(mary))<=>((curious(john)&~funny(john))))&
((?[X]:(~tall(X)))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(~funny(X)<=>(generous(X)<~>tall(X))))&
(![X]:((old(X)<~>~kind(X))=>(~patient(X)<~>funny(X))))&
((strong(s... | old(fred) | [] | null | 0 |
Everyone who is either humble or brave is both calm and not happy.
If someone is both calm and not old then someone is both not old and not brave.
Everyone who is both generous and not quiet is not rich and vice versa.
Everyone who is both patient and old is creative.
If someone is either not happy or curious then paul... | Fred is not wise. | entailment | (![X]:((humble(X)<~>brave(X))=>(calm(X)&~happy(X))))&
((?[X]:((calm(X)&~old(X))))=>(?[X]:((~old(X)&~brave(X)))))&
(![X]:((generous(X)&~quiet(X))<=>~rich(X)))&
(![X]:((patient(X)&old(X))=>creative(X)))&
((?[X]:((~happy(X)<~>curious(X))))=>((calm(paul)<~>~generous(paul))))&
(![X]:((~old(X)&~tall(X))<=>(strong(X)<~>tall(X... | ~wise(fred) | [
"p2",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 496595130362951342230974
% SZS output start Proof for 496595130362951342230974
3. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~rich(X0)) [input p2]
10. ! [X0] : (rich(X0) <=> (strong(X0) & generous(X0))) [input p9]
14. (~rich(susan) & ~generous(susan)) <=> ? [X0] : funny(X0) [input p13]
15.... | 0 |
Everyone who is both kind and not kind is both not tall and not brave and vice versa. If someone is either brave or not wise then someone is either happy or not wise and vice versa. Everyone who is either old or quiet is not wise or not tall. If alice is not patient then someone is not generous or not funny and vice ve... | John is rich. | entailment | (![X]:((kind(X)&~kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((brave(X)<~>~wise(X))))<=>(?[X]:((happy(X)<~>~wise(X)))))&
(![X]:((old(X)<~>quiet(X))=>(~wise(X)|~tall(X))))&
((~patient(alice))<=>(?[X]:((~generous(X)|~funny(X)))))&
((?[X]:(~patient(X)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((kind(X)|~calm(X))<=>tall(X)))&... | rich(john) | [
"p3",
"p13",
"p15",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 199765433971269091121516
% SZS output start Proof for 199765433971269091121516
4. ~patient(alice) <=> ? [X0] : (~funny(X0) | ~generous(X0)) [input p3]
14. ! [X0] : ((funny(X0) | rich(X0)) <=> humble(X0)) [input p13]
16. ? [X0] : (happy(X0) & ~rich(X0)) => (calm(alice) & patient(alice)) [i... | 0 |
Everyone who is both not rich and not quiet is either not brave or not funny and vice versa.
Everyone who is both not kind and not generous is both generous and curious and vice versa.
Everyone who is not curious is not old or not patient.
If someone is calm or not kind then mary is either not humble or wise.
If mary i... | Fred is brave. | neutral | (![X]:((~rich(X)&~quiet(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:((~kind(X)&~generous(X))<=>(generous(X)&curious(X))))&
(![X]:(~curious(X)=>(~old(X)|~patient(X))))&
((?[X]:((calm(X)|~kind(X))))=>((~humble(mary)<~>wise(mary))))&
(((patient(mary)|~happy(mary)))<=>(~happy(fred)))&
((?[X]:((~brave(X)|~humble(X))))<=>(~funny(... | brave(fred) | [] | null | 0 |
If paul is either not happy or not wise then john is not kind and vice versa. If someone is tall then john is both not patient and funny and vice versa. Everyone who is either not kind or generous is both rich and not tall and vice versa. If someone is creative then someone is not brave. Everyone who is quiet is either... | Paul is tall. | neutral | (((~happy(paul)<~>~wise(paul)))<=>(~kind(john)))&
((?[X]:(tall(X)))<=>((~patient(john)&funny(john))))&
(![X]:((~kind(X)<~>generous(X))<=>(rich(X)&~tall(X))))&
((?[X]:(creative(X)))=>(?[X]:(~brave(X))))&
(![X]:(quiet(X)=>(~patient(X)<~>quiet(X))))&
(((~old(lucy)&curious(lucy)))=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((hu... | tall(paul) | [] | null | 0 |
Everyone who is funny is not calm and vice versa.
Everyone who is strong or not tall is both tall and not kind and vice versa.
If lucy is old or calm then alice is both calm and patient and vice versa.
Everyone who is not kind is not quiet and vice versa.
If someone is both not tall and curious then alice is old or hum... | Alice is funny. | entailment | (![X]:(funny(X)<=>~calm(X)))&
(![X]:((strong(X)|~tall(X))<=>(tall(X)&~kind(X))))&
(((old(lucy)|calm(lucy)))<=>((calm(alice)&patient(alice))))&
(![X]:(~kind(X)<=>~quiet(X)))&
((?[X]:((~tall(X)&curious(X))))=>((old(alice)|humble(alice))))&
(![X]:((creative(X)&~calm(X))=>(humble(X)&~old(X))))&
((?[X]:((~creative(X)<~>~hum... | funny(alice) | [
"p1",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6395762744309426771731693
% SZS output start Proof for 6395762744309426771731693
2. ! [X0] : ((~tall(X0) | strong(X0)) <=> (~kind(X0) & tall(X0))) [input p1]
9. ? [X0] : ~rich(X0) => ? [X0] : ~tall(X0) [input p8]
22. rich(alice) <~> ~funny(alice) [input p21]
25. ~funny(alice) [input hypot... | 0 |
Everyone who is either calm or tall is not humble.
If paul is not curious or humble then someone is both not strong and calm and vice versa.
Everyone who is either creative or strong is either not patient or not tall.
If paul is either calm or patient then paul is not brave or not kind and vice versa.
Everyone who is e... | John is creative. | contradiction | (![X]:((calm(X)<~>tall(X))=>~humble(X)))&
(((~curious(paul)|humble(paul)))<=>(?[X]:((~strong(X)&calm(X)))))&
(![X]:((creative(X)<~>strong(X))=>(~patient(X)<~>~tall(X))))&
(((calm(paul)<~>patient(paul)))<=>((~brave(paul)|~kind(paul))))&
(![X]:((kind(X)<~>~patient(X))=>(~wise(X)<~>~brave(X))))&
((~brave(mary))<=>((~calm(... | creative(john) | [
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8966694385327142587609095
% SZS output start Proof for 8966694385327142587609095
8. ! [X0] : ((creative(X0) | ~patient(X0)) <=> tall(X0)) [input p7]
22. ~creative(john) | ~tall(john) [input p21]
25. creative(john) [input hypothesis]
48. ! [X0] : (((creative(X0) | ~patient(X0)) | ~tall(X0)... | 0 |
If paul is calm then fred is both humble and not kind and vice versa.
Everyone who is curious is not strong.
If someone is old or quiet then lucy is creative or calm.
If someone is creative or not tall then someone is calm or not happy and vice versa.
If someone is not calm or not strong then paul is both not rich and ... | Fred is curious. | contradiction | ((calm(paul))<=>((humble(fred)&~kind(fred))))&
(![X]:(curious(X)=>~strong(X)))&
((?[X]:((old(X)|quiet(X))))=>((creative(lucy)|calm(lucy))))&
((?[X]:((creative(X)|~tall(X))))<=>(?[X]:((calm(X)|~happy(X)))))&
((?[X]:((~calm(X)|~strong(X))))<=>((~rich(paul)&~curious(paul))))&
(((old(susan)|wise(susan)))<=>(?[X]:((patient(... | curious(fred) | [
"p1",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2961809914716089246864283
% SZS output start Proof for 2961809914716089246864283
2. ! [X0] : (curious(X0) => ~strong(X0)) [input p1]
10. ! [X0] : ((curious(X0) <~> strong(X0)) <=> (brave(X0) & happy(X0))) [input p9]
12. ! [X0] : (happy(X0) => (tall(X0) & wise(X0))) [input p11]
17. ~wise(f... | 0 |
Everyone who is either not brave or not calm is humble and vice versa.
Everyone who is either wise or not curious is either wise or not quiet.
If mary is creative then john is not old or not strong.
If someone is calm or humble then mary is not curious and vice versa.
Everyone who is not kind or not strong is generous ... | John is not rich. | contradiction | (![X]:((~brave(X)<~>~calm(X))<=>humble(X)))&
(![X]:((wise(X)<~>~curious(X))=>(wise(X)<~>~quiet(X))))&
((creative(mary))=>((~old(john)|~strong(john))))&
((?[X]:((calm(X)|humble(X))))<=>(~curious(mary)))&
(![X]:((~kind(X)|~strong(X))=>(generous(X)|~calm(X))))&
(![X]:((~tall(X)&~wise(X))<=>(~wise(X)&old(X))))&
(![X]:((~br... | ~rich(john) | [
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3757682067093084296671788
% SZS output start Proof for 3757682067093084296671788
10. ! [X0] : ((~rich(X0) | wise(X0)) => (funny(X0) & ~creative(X0))) [input p9]
17. creative(john) [input p16]
24. ~rich(john) [input hypothesis]
34. ! [X0] : ((funny(X0) & ~creative(X0)) | (rich(X0) & ~wise(... | 0 |
If someone is either not humble or not brave then someone is happy or not rich. If susan is both humble and not strong then paul is both not rich and not curious and vice versa. Everyone who is rich or quiet is not old or brave and vice versa. Everyone who is either not quiet or kind is either creative or not calm and ... | Susan is humble. | neutral | ((?[X]:((~humble(X)<~>~brave(X))))=>(?[X]:((happy(X)|~rich(X)))))&
(((humble(susan)&~strong(susan)))<=>((~rich(paul)&~curious(paul))))&
(![X]:((rich(X)|quiet(X))<=>(~old(X)|brave(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(creative(X)<~>~calm(X))))&
(![X]:(tall(X)=>~quiet(X)))&
(((~quiet(john)<~>~rich(john)))=>((tall(alice)... | humble(susan) | [] | null | 0 |
If paul is strong then lucy is patient.
If someone is strong then someone is brave and vice versa.
If someone is not quiet then someone is both funny and brave and vice versa.
If someone is calm then someone is both not curious and not generous and vice versa.
If someone is not happy or not wise then someone is funny.
... | Lucy is calm. | contradiction | ((strong(paul))=>(patient(lucy)))&
((?[X]:(strong(X)))<=>(?[X]:(brave(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((funny(X)&brave(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((~curious(X)&~generous(X)))))&
((?[X]:((~happy(X)|~wise(X))))=>(?[X]:(funny(X))))&
((tall(paul))<=>((~kind(susan)&funny(susan))))&
(![X]:((quiet(X)&~old(X))=>(happ... | calm(lucy) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3378385193766853627963033
% SZS output start Proof for 3378385193766853627963033
12. ! [X0] : ((~creative(X0) <~> humble(X0)) => (~calm(X0) & ~creative(X0))) [input p11]
16. ! [X0] : ((calm(X0) & humble(X0)) <=> creative(X0)) [input p15]
24. calm(lucy) [input hypothesis]
35. ! [X0] : ((~c... | 0 |
If someone is creative then mary is not kind or not brave. Everyone who is both old and not quiet is either not funny or not generous. If someone is not brave or not kind then paul is not wise and vice versa. Everyone who is either not wise or not tall is not kind or kind. Everyone who is both creative and not kind is ... | Paul is happy. | neutral | ((?[X]:(creative(X)))=>((~kind(mary)|~brave(mary))))&
(![X]:((old(X)&~quiet(X))=>(~funny(X)<~>~generous(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>(~wise(paul)))&
(![X]:((~wise(X)<~>~tall(X))=>(~kind(X)|kind(X))))&
(![X]:((creative(X)&~kind(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((curious(X)&~tall(X))<=>brave(X)))&
(![X]:... | happy(paul) | [] | null | 0 |
If someone is not quiet then alice is either not wise or wise and vice versa.
Everyone who is curious or patient is both humble and not rich.
Everyone who is both not calm and humble is not curious or tall and vice versa.
Everyone who is not old or not curious is strong and vice versa.
If someone is either not curious ... | Lucy is curious. | contradiction | ((?[X]:(~quiet(X)))<=>((~wise(alice)<~>wise(alice))))&
(![X]:((curious(X)|patient(X))=>(humble(X)&~rich(X))))&
(![X]:((~calm(X)&humble(X))<=>(~curious(X)|tall(X))))&
(![X]:((~old(X)|~curious(X))<=>strong(X)))&
((?[X]:((~curious(X)<~>~creative(X))))<=>(?[X]:((tall(X)&creative(X)))))&
(![X]:((~strong(X)&funny(X))<=>(~old... | curious(lucy) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 851278826511486444497554
% SZS output start Proof for 851278826511486444497554
2. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humble(X0))) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (tall(X0) | ~curious(X0))) [input p2]
4. ! [X0] : ((~curious(X0) | ~old(X0)) <=> strong... | 0 |
If mary is kind or strong then fred is curious.
Everyone who is either not creative or strong is creative.
If lucy is both quiet and not generous then someone is not rich.
If paul is not happy then someone is quiet and vice versa.
Everyone who is not rich is both generous and rich and vice versa.
Everyone who is not ri... | Paul is wise. | contradiction | (((kind(mary)|strong(mary)))=>(curious(fred)))&
(![X]:((~creative(X)<~>strong(X))=>creative(X)))&
(((quiet(lucy)&~generous(lucy)))=>(?[X]:(~rich(X))))&
((~happy(paul))<=>(?[X]:(quiet(X))))&
(![X]:(~rich(X)<=>(generous(X)&rich(X))))&
(![X]:(~rich(X)<=>(creative(X)&~old(X))))&
(![X]:((strong(X)|kind(X))<=>(~curious(X)<~>... | wise(paul) | [
"p6",
"p8",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1193688285794671289222793
% SZS output start Proof for 1193688285794671289222793
7. ! [X0] : ((kind(X0) | strong(X0)) <=> (~curious(X0) <~> patient(X0))) [input p6]
9. ! [X0] : ((~calm(X0) | patient(X0)) => ~kind(X0)) [input p8]
12. ! [X0] : ((~strong(X0) <~> patient(X0)) => (~strong(X0) ... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.