premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both brave and not strong then lucy is not kind and vice versa. Everyone who is either not rich or not happy is not strong and vice versa. Everyone who is both not tall and not kind is both funny and not happy. Everyone who is not tall is either not rich or brave. Everyone who is either kind or not quiet ... | Susan is tall. | contradiction | ((?[X]:((brave(X)&~strong(X))))<=>(~kind(lucy)))&
(![X]:((~rich(X)<~>~happy(X))<=>~strong(X)))&
(![X]:((~tall(X)&~kind(X))=>(funny(X)&~happy(X))))&
(![X]:(~tall(X)=>(~rich(X)<~>brave(X))))&
(![X]:((kind(X)<~>~quiet(X))<=>(~quiet(X)|~curious(X))))&
(((curious(fred)|~strong(fred)))=>(?[X]:((kind(X)&rich(X)))))&
((?[X]:((... | tall(susan) | [
"p1",
"p7",
"p9",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9024398951153252343955098
% SZS output start Proof for 9024398951153252343955098
2. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> ~strong(X0)) [input p1]
8. ? [X0] : (tall(X0) <~> ~strong(X0)) => (~brave(susan) & brave(susan)) [input p7]
10. ! [X0] : ((rich(X0) | happy(X0)) => (quiet(X0) & ~ca... | 0 |
If susan is not generous or not funny then someone is both patient and generous.
Everyone who is either strong or kind is both not creative and not quiet.
If alice is either not old or not creative then someone is quiet and vice versa.
If mary is either not generous or not quiet then someone is either curious or not st... | Mary is not humble. | neutral | (((~generous(susan)|~funny(susan)))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((strong(X)<~>kind(X))=>(~creative(X)&~quiet(X))))&
(((~old(alice)<~>~creative(alice)))<=>(?[X]:(quiet(X))))&
(((~generous(mary)<~>~quiet(mary)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(((~calm(paul)&~kind(paul)))<=>(?[X]:((rich(X)&brave(X))... | ~humble(mary) | [] | null | 0 |
If lucy is both not rich and creative then alice is both not patient and not calm and vice versa. Everyone who is not tall or not creative is either not old or not happy and vice versa. If someone is both wise and patient then susan is brave or not generous and vice versa. If someone is happy or not strong then someone... | Fred is not funny. | neutral | (((~rich(lucy)&creative(lucy)))<=>((~patient(alice)&~calm(alice))))&
(![X]:((~tall(X)|~creative(X))<=>(~old(X)<~>~happy(X))))&
((?[X]:((wise(X)&patient(X))))<=>((brave(susan)|~generous(susan))))&
((?[X]:((happy(X)|~strong(X))))=>(?[X]:((quiet(X)&rich(X)))))&
(((funny(john)<~>~funny(john)))<=>(?[X]:((~patient(X)|~brave(... | ~funny(fred) | [] | null | 0 |
Everyone who is both not kind and patient is both not calm and patient and vice versa. If paul is not funny or calm then alice is both not quiet and rich and vice versa. If mary is either not creative or not patient then john is both calm and happy and vice versa. Everyone who is both not calm and rich is both not kind... | Alice is wise. | entailment | (![X]:((~kind(X)&patient(X))<=>(~calm(X)&patient(X))))&
(((~funny(paul)|calm(paul)))<=>((~quiet(alice)&rich(alice))))&
(((~creative(mary)<~>~patient(mary)))<=>((calm(john)&happy(john))))&
(![X]:((~calm(X)&rich(X))=>(~kind(X)&~quiet(X))))&
(![X]:((funny(X)<~>~brave(X))=>(~creative(X)&~humble(X))))&
(![X]:((~quiet(X)<~>~... | wise(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4645188282903871154964112
% SZS output start Proof for 4645188282903871154964112
10. ? [X0] : ~wise(X0) <=> (~tall(susan) & tall(susan)) [input p9]
25. ~wise(alice) [input hypothesis]
51. (? [X0] : ~wise(X0) | (tall(susan) | ~tall(susan))) & ((~tall(susan) & tall(susan)) | ! [X0] : wise(X... | 0 |
Everyone who is both not happy and not kind is happy and vice versa.
If lucy is not calm or not curious then susan is kind and vice versa.
Everyone who is both not generous and creative is rich or quiet and vice versa.
If paul is both patient and not wise then someone is either quiet or not happy and vice versa.
If som... | Mary is tall. | entailment | (![X]:((~happy(X)&~kind(X))<=>happy(X)))&
(((~calm(lucy)|~curious(lucy)))<=>(kind(susan)))&
(![X]:((~generous(X)&creative(X))<=>(rich(X)|quiet(X))))&
(((patient(paul)&~wise(paul)))<=>(?[X]:((quiet(X)<~>~happy(X)))))&
((?[X]:(~humble(X)))<=>((~creative(alice)|~rich(alice))))&
(![X]:((old(X)&~kind(X))=>(quiet(X)|~humble(... | tall(mary) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2077931501800781608477334
% SZS output start Proof for 2077931501800781608477334
1. ! [X0] : ((~kind(X0) & ~happy(X0)) <=> happy(X0)) [input p0]
11. ! [X0] : (kind(X0) => (~tall(X0) <~> ~happy(X0))) [input p10]
19. ~tall(mary) [input hypothesis]
24. ! [X0] : ((~tall(X0) <~> ~happy(X0)) | ... | 0 |
If someone is either not funny or creative then fred is either not funny or quiet. Everyone who is both not generous and strong is both wise and old and vice versa. If john is not old or not creative then mary is either tall or happy and vice versa. If john is either generous or not strong then someone is both not quie... | John is not creative. | contradiction | ((?[X]:((~funny(X)<~>creative(X))))=>((~funny(fred)<~>quiet(fred))))&
(![X]:((~generous(X)&strong(X))<=>(wise(X)&old(X))))&
(((~old(john)|~creative(john)))<=>((tall(mary)<~>happy(mary))))&
(((generous(john)<~>~strong(john)))=>(?[X]:((~quiet(X)&quiet(X)))))&
(![X]:((~creative(X)<~>~kind(X))=>(funny(X)|~generous(X))))&
(... | ~creative(john) | [
"p2",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4764180551379142064231772
% SZS output start Proof for 4764180551379142064231772
3. (~creative(john) | ~old(john)) <=> (tall(mary) <~> happy(mary)) [input p2]
10. (creative(paul) | ~wise(paul)) => creative(john) [input p9]
14. ? [X0] : (~tall(X0) | ~happy(X0)) <=> (curious(paul) & creativ... | 0 |
If fred is either humble or not wise then mary is both not curious and curious and vice versa. If paul is not humble then lucy is humble or not curious. If fred is not tall or not brave then someone is not old or humble and vice versa. If someone is both humble and not generous then lucy is both not humble and not tall... | Mary is not quiet. | contradiction | (((humble(fred)<~>~wise(fred)))<=>((~curious(mary)&curious(mary))))&
((~humble(paul))=>((humble(lucy)|~curious(lucy))))&
(((~tall(fred)|~brave(fred)))<=>(?[X]:((~old(X)|humble(X)))))&
((?[X]:((humble(X)&~generous(X))))<=>((~humble(lucy)&~tall(lucy))))&
(![X]:((~tall(X)&~patient(X))<=>(~humble(X)<~>patient(X))))&
(![X]:... | ~quiet(mary) | [
"p6",
"p7",
"p8",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6949581488404702299450681
% SZS output start Proof for 6949581488404702299450681
7. (~kind(mary) <~> ~strong(mary)) <=> ? [X0] : brave(X0) [input p6]
8. ! [X0] : ((~calm(X0) | old(X0)) <=> (~humble(X0) & brave(X0))) [input p7]
9. ! [X0] : ((~quiet(X0) & ~kind(X0)) => (~curious(X0) <~> ~br... | 0 |
Everyone who is generous or curious is not curious or quiet and vice versa.
Everyone who is either funny or tall is creative.
If mary is calm then someone is not old.
If someone is wise or not calm then someone is patient and vice versa.
Everyone who is not quiet or not creative is either not tall or quiet.
If mary is ... | Susan is not kind. | entailment | (![X]:((generous(X)|curious(X))<=>(~curious(X)|quiet(X))))&
(![X]:((funny(X)<~>tall(X))=>creative(X)))&
((calm(mary))=>(?[X]:(~old(X))))&
((?[X]:((wise(X)|~calm(X))))<=>(?[X]:(patient(X))))&
(![X]:((~quiet(X)|~creative(X))=>(~tall(X)<~>quiet(X))))&
(((creative(mary)&brave(mary)))<=>((~curious(susan)&brave(susan))))&
(!... | ~kind(susan) | [
"p0",
"p4",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8540555166234038420736567
% SZS output start Proof for 8540555166234038420736567
1. ! [X0] : ((curious(X0) | generous(X0)) <=> (quiet(X0) | ~curious(X0))) [input p0]
5. ! [X0] : ((~creative(X0) | ~quiet(X0)) => (~tall(X0) <~> quiet(X0))) [input p4]
9. ! [X0] : ((curious(X0) <~> kind(X0)) ... | 0 |
Everyone who is not calm is both curious and not calm.
Everyone who is old or generous is not old or not quiet.
If susan is both brave and old then alice is rich and vice versa.
If someone is either brave or not generous then someone is both not funny and not happy.
Everyone who is not funny is both not kind and not pa... | John is not old. | neutral | (![X]:(~calm(X)=>(curious(X)&~calm(X))))&
(![X]:((old(X)|generous(X))=>(~old(X)|~quiet(X))))&
(((brave(susan)&old(susan)))<=>(rich(alice)))&
((?[X]:((brave(X)<~>~generous(X))))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:(~funny(X)<=>(~kind(X)&~patient(X))))&
((?[X]:(~calm(X)))<=>((patient(john)<~>~brave(john))))&
(((~funn... | ~old(john) | [] | null | 0 |
If someone is both not humble and not old then mary is not happy.
If paul is both not calm and happy then someone is strong and vice versa.
If paul is not quiet or curious then someone is both brave and not humble.
Everyone who is not happy or happy is patient and vice versa.
Everyone who is either creative or funny is... | Susan is not quiet. | contradiction | ((?[X]:((~humble(X)&~old(X))))=>(~happy(mary)))&
(((~calm(paul)&happy(paul)))<=>(?[X]:(strong(X))))&
(((~quiet(paul)|curious(paul)))=>(?[X]:((brave(X)&~humble(X)))))&
(![X]:((~happy(X)|happy(X))<=>patient(X)))&
(![X]:((creative(X)<~>funny(X))<=>(~happy(X)<~>~creative(X))))&
(![X]:(creative(X)=>(creative(X)<~>~quiet(X))... | ~quiet(susan) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4836659443582397137232224
% SZS output start Proof for 4836659443582397137232224
4. ! [X0] : ((happy(X0) | ~happy(X0)) <=> patient(X0)) [input p3]
5. ! [X0] : ((creative(X0) <~> funny(X0)) <=> (~happy(X0) <~> ~creative(X0))) [input p4]
6. ! [X0] : (creative(X0) => (creative(X0) <~> ~quiet... | 0 |
Everyone who is not calm is either old or not strong. Everyone who is either not kind or quiet is patient or not wise. Everyone who is patient is brave or tall. Everyone who is not generous is both not humble and not brave. Everyone who is both kind and not kind is brave and vice versa. If someone is both funny and not... | Lucy is curious. | entailment | (![X]:(~calm(X)=>(old(X)<~>~strong(X))))&
(![X]:((~kind(X)<~>quiet(X))=>(patient(X)|~wise(X))))&
(![X]:(patient(X)=>(brave(X)|tall(X))))&
(![X]:(~generous(X)=>(~humble(X)&~brave(X))))&
(![X]:((kind(X)&~kind(X))<=>brave(X)))&
((?[X]:((funny(X)&~kind(X))))<=>((humble(alice)|~generous(alice))))&
((?[X]:((happy(X)&~old(X))... | curious(lucy) | [
"p4",
"p7",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6953818662294381354114492
% SZS output start Proof for 6953818662294381354114492
5. ! [X0] : ((~kind(X0) & kind(X0)) <=> brave(X0)) [input p4]
8. ! [X0] : ((quiet(X0) | tall(X0)) <=> (quiet(X0) <~> ~curious(X0))) [input p7]
10. ! [X0] : ((calm(X0) <~> ~strong(X0)) <=> (~brave(X0) | ~gener... | 0 |
Everyone who is rich is brave. Everyone who is both curious and not kind is not rich or happy. Everyone who is generous is not rich. Everyone who is strong is both not humble and not brave and vice versa. Everyone who is both creative and not curious is both funny and not calm and vice versa. If fred is not happy then ... | Alice is happy. | neutral | (![X]:(rich(X)=>brave(X)))&
(![X]:((curious(X)&~kind(X))=>(~rich(X)|happy(X))))&
(![X]:(generous(X)=>~rich(X)))&
(![X]:(strong(X)<=>(~humble(X)&~brave(X))))&
(![X]:((creative(X)&~curious(X))<=>(funny(X)&~calm(X))))&
((~happy(fred))<=>(?[X]:((calm(X)|curious(X)))))&
(((~creative(john)|humble(john)))<=>(?[X]:((wise(X)|pa... | happy(alice) | [] | null | 0 |
Everyone who is funny is both quiet and not old.
If paul is both not creative and not happy then someone is either not generous or happy.
Everyone who is both kind and not brave is either rich or creative and vice versa.
Everyone who is both not wise and creative is either not humble or quiet and vice versa.
If paul is... | Fred is not old. | entailment | (![X]:(funny(X)=>(quiet(X)&~old(X))))&
(((~creative(paul)&~happy(paul)))=>(?[X]:((~generous(X)<~>happy(X)))))&
(![X]:((kind(X)&~brave(X))<=>(rich(X)<~>creative(X))))&
(![X]:((~wise(X)&creative(X))<=>(~humble(X)<~>quiet(X))))&
(((patient(paul)|~humble(paul)))<=>((~calm(fred)|~creative(fred))))&
(![X]:((~kind(X)|~generou... | ~old(fred) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2992891996968991010412540
% SZS output start Proof for 2992891996968991010412540
1. ! [X0] : (funny(X0) => (~old(X0) & quiet(X0))) [input p0]
10. ! [X0] : ((funny(X0) <~> old(X0)) <=> (strong(X0) & ~creative(X0))) [input p9]
14. ! [X0] : ((~patient(X0) | patient(X0)) <=> creative(X0)) [in... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa.
Everyone who is both not calm and creative is both not happy and not patient and vice versa.
Everyone who is not tall or not calm is either not strong or curious and vice versa.
If alice is strong or happy then someone is not humble ... | Mary is tall. | contradiction | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~tall(X)|~calm(X))<=>(~strong(X)<~>curious(X))))&
(((strong(alice)|happy(alice)))<=>(?[X]:((~humble(X)|humble(X)))))&
((?[X]:(~brave(X)))<=>((creative(mary)<~>strong(mary))))&
(![X]:((strong(X)&c... | tall(mary) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p12",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9170188065226849937351544
% SZS output start Proof for 9170188065226849937351544
2. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~patient(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((~calm(X0) | ~tall(X0)) <=> (~strong(X0) <~> curious(X0))) [input p2]
5. ? [X0] : ~brave(X0) <=> (creative(mary... | 0 |
If john is either not wise or not rich then john is both calm and not patient. Everyone who is not creative is both not calm and rich. Everyone who is strong or funny is both wise and creative and vice versa. Everyone who is not patient or not strong is either kind or rich. Everyone who is not quiet or curious is both ... | Alice is not creative. | contradiction | (((~wise(john)<~>~rich(john)))=>((calm(john)&~patient(john))))&
(![X]:(~creative(X)=>(~calm(X)&rich(X))))&
(![X]:((strong(X)|funny(X))<=>(wise(X)&creative(X))))&
(![X]:((~patient(X)|~strong(X))=>(kind(X)<~>rich(X))))&
(![X]:((~quiet(X)|curious(X))=>(humble(X)&~funny(X))))&
((?[X]:((rich(X)&tall(X))))<=>(?[X]:(~wise(X))... | ~creative(alice) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8915416388834179754668574
% SZS output start Proof for 8915416388834179754668574
2. ! [X0] : (~creative(X0) => (rich(X0) & ~calm(X0))) [input p1]
20. calm(alice) [input p19]
25. ~creative(alice) [input hypothesis]
30. ! [X0] : ((rich(X0) & ~calm(X0)) | creative(X0)) [ennf transformation 2... | 0 |
Everyone who is calm is either not creative or not calm and vice versa.
If someone is quiet or humble then alice is both old and not brave and vice versa.
Everyone who is patient is both kind and not kind and vice versa.
If someone is either not kind or calm then alice is either kind or not generous.
If someone is not ... | Mary is not humble. | entailment | (![X]:(calm(X)<=>(~creative(X)<~>~calm(X))))&
((?[X]:((quiet(X)|humble(X))))<=>((old(alice)&~brave(alice))))&
(![X]:(patient(X)<=>(kind(X)&~kind(X))))&
((?[X]:((~kind(X)<~>calm(X))))=>((kind(alice)<~>~generous(alice))))&
((?[X]:(~funny(X)))=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(~rich(X)=>(generous(X)<~>happy(X))))&
... | ~humble(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6804860723361766780213769
% SZS output start Proof for 6804860723361766780213769
7. ! [X0] : (humble(X0) => ~humble(X0)) [input p6]
25. humble(mary) [input hypothesis]
32. ! [X0] : (~humble(X0) | ~humble(X0)) [ennf transformation 7]
99. ~humble(X0) | ~humble(X0) [cnf transformation 32]
14... | 0 |
If someone is both happy and not happy then someone is both curious and patient.
Everyone who is old or humble is both wise and funny.
Everyone who is happy is not humble.
Everyone who is both quiet and humble is either not brave or not curious and vice versa.
Everyone who is both calm and brave is not happy and vice v... | Alice is not funny. | neutral | ((?[X]:((happy(X)&~happy(X))))=>(?[X]:((curious(X)&patient(X)))))&
(![X]:((old(X)|humble(X))=>(wise(X)&funny(X))))&
(![X]:(happy(X)=>~humble(X)))&
(![X]:((quiet(X)&humble(X))<=>(~brave(X)<~>~curious(X))))&
(![X]:((calm(X)&brave(X))<=>~happy(X)))&
((?[X]:((quiet(X)<~>wise(X))))=>((generous(alice)&strong(alice))))&
((?[X... | ~funny(alice) | [] | null | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa. If john is both not humble and not old then fred is tall. If lucy is not quiet then someone is both not wise and funny. If someone is not kind or not generous then someone is either not generous or generous. Everyone who is eithe... | Lucy is not kind. | contradiction | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
(((~humble(john)&~old(john)))=>(tall(fred)))&
((~quiet(lucy))=>(?[X]:((~wise(X)&funny(X)))))&
((?[X]:((~kind(X)|~generous(X))))=>(?[X]:((~generous(X)<~>generous(X)))))&
(![X]:((~old(X)<~>strong(X))<=>(patient(X)<~>funny(X))))&
(![X]:((patient(X)|~old(X))=>(~stro... | ~kind(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2332779241431645951419811
% SZS output start Proof for 2332779241431645951419811
12. ! [X0] : ((~generous(X0) | ~kind(X0)) <=> (kind(X0) & tall(X0))) [input p11]
25. ~kind(lucy) [input hypothesis]
55. ! [X0] : (((~generous(X0) | ~kind(X0)) | (~kind(X0) | ~tall(X0))) & ((kind(X0) & tall(X0... | 0 |
Everyone who is old is not funny or tall and vice versa. Everyone who is creative or kind is not kind or not rich. Everyone who is either curious or kind is either not happy or calm and vice versa. If someone is both not calm and curious then fred is both not tall and calm and vice versa. If fred is strong then someone... | Susan is not calm. | contradiction | (![X]:(old(X)<=>(~funny(X)|tall(X))))&
(![X]:((creative(X)|kind(X))=>(~kind(X)|~rich(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~happy(X)<~>calm(X))))&
((?[X]:((~calm(X)&curious(X))))<=>((~tall(fred)&calm(fred))))&
((strong(fred))=>(?[X]:((humble(X)<~>~happy(X)))))&
(((generous(lucy)<~>~rich(lucy)))=>(?[X]:((~happy(X)&bra... | ~calm(susan) | [
"p1",
"p8",
"p10",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 667342532626885389985040
% SZS output start Proof for 667342532626885389985040
2. ! [X0] : ((kind(X0) | creative(X0)) => (~rich(X0) | ~kind(X0))) [input p1]
9. ! [X0] : ((~kind(X0) & tall(X0)) <=> ~funny(X0)) [input p8]
11. ! [X0] : ((kind(X0) | patient(X0)) <=> (quiet(X0) & rich(X0))) [i... | 0 |
If susan is both not generous and tall then someone is not rich or not generous. Everyone who is either not kind or not tall is not wise or not curious. If someone is not generous then susan is both not kind and happy and vice versa. Everyone who is both funny and not kind is both not wise and not brave. If someone is ... | Susan is generous. | neutral | (((~generous(susan)&tall(susan)))=>(?[X]:((~rich(X)|~generous(X)))))&
(![X]:((~kind(X)<~>~tall(X))=>(~wise(X)|~curious(X))))&
((?[X]:(~generous(X)))<=>((~kind(susan)&happy(susan))))&
(![X]:((funny(X)&~kind(X))=>(~wise(X)&~brave(X))))&
((?[X]:((~curious(X)<~>patient(X))))<=>(~humble(mary)))&
(![X]:((quiet(X)|~kind(X))<=... | generous(susan) | [] | null | 0 |
Everyone who is both not creative and brave is happy and vice versa.
Everyone who is not rich or strong is both not generous and not brave and vice versa.
If someone is strong then someone is both not strong and not tall and vice versa.
Everyone who is both not tall and not generous is kind or strong and vice versa.
Ev... | Susan is not brave. | contradiction | (![X]:((~creative(X)&brave(X))<=>happy(X)))&
(![X]:((~rich(X)|strong(X))<=>(~generous(X)&~brave(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~strong(X)&~tall(X)))))&
(![X]:((~tall(X)&~generous(X))<=>(kind(X)|strong(X))))&
(![X]:((creative(X)&wise(X))=>(~tall(X)&tall(X))))&
((?[X]:((~brave(X)|kind(X))))=>(?[X]:((~rich(X)&genero... | ~brave(susan) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 469997530670963495066627
% SZS output start Proof for 469997530670963495066627
2. ! [X0] : ((strong(X0) | ~rich(X0)) <=> (~brave(X0) & ~generous(X0))) [input p1]
6. ? [X0] : (kind(X0) | ~brave(X0)) => ? [X0] : (generous(X0) & ~rich(X0)) [input p5]
24. ~brave(susan) [input hypothesis]
26. ... | 0 |
Everyone who is not happy or not rich is either quiet or happy and vice versa.
Everyone who is strong or not wise is either calm or rich and vice versa.
Everyone who is humble is happy and vice versa.
Everyone who is not patient is either not tall or funny and vice versa.
If someone is patient or happy then fred is not... | John is old. | neutral | (![X]:((~happy(X)|~rich(X))<=>(quiet(X)<~>happy(X))))&
(![X]:((strong(X)|~wise(X))<=>(calm(X)<~>rich(X))))&
(![X]:(humble(X)<=>happy(X)))&
(![X]:(~patient(X)<=>(~tall(X)<~>funny(X))))&
((?[X]:((patient(X)|happy(X))))=>(~strong(fred)))&
(![X]:((tall(X)&~generous(X))=>calm(X)))&
((?[X]:((~wise(X)|creative(X))))<=>(?[X]:(... | old(john) | [] | null | 0 |
If someone is humble then alice is not curious or humble and vice versa.
If someone is either not tall or calm then paul is both funny and rich and vice versa.
If alice is kind then lucy is happy and vice versa.
If paul is not creative then fred is either quiet or not happy and vice versa.
Everyone who is both happy an... | Alice is not humble. | neutral | ((?[X]:(humble(X)))<=>((~curious(alice)|humble(alice))))&
((?[X]:((~tall(X)<~>calm(X))))<=>((funny(paul)&rich(paul))))&
((kind(alice))<=>(happy(lucy)))&
((~creative(paul))<=>((quiet(fred)<~>~happy(fred))))&
(![X]:((happy(X)&funny(X))<=>(happy(X)&strong(X))))&
((old(mary))=>(?[X]:((curious(X)|patient(X)))))&
(![X]:(stro... | ~humble(alice) | [] | null | 0 |
If someone is not generous or not kind then someone is both humble and not strong.
Everyone who is both not creative and funny is curious.
Everyone who is kind or happy is patient or wise and vice versa.
Everyone who is both calm and not wise is both humble and not generous and vice versa.
If someone is either old or n... | Lucy is tall. | neutral | ((?[X]:((~generous(X)|~kind(X))))=>(?[X]:((humble(X)&~strong(X)))))&
(![X]:((~creative(X)&funny(X))=>curious(X)))&
(![X]:((kind(X)|happy(X))<=>(patient(X)|wise(X))))&
(![X]:((calm(X)&~wise(X))<=>(humble(X)&~generous(X))))&
((?[X]:((old(X)<~>~strong(X))))=>(?[X]:((quiet(X)<~>~brave(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((ri... | tall(lucy) | [] | null | 0 |
Everyone who is not patient or not brave is both strong and not strong and vice versa.
If alice is curious or not tall then john is both quiet and not curious and vice versa.
Everyone who is either not patient or not brave is either tall or creative.
If someone is not curious or not strong then lucy is brave and vice v... | Susan is tall. | neutral | (![X]:((~patient(X)|~brave(X))<=>(strong(X)&~strong(X))))&
(((curious(alice)|~tall(alice)))<=>((quiet(john)&~curious(john))))&
(![X]:((~patient(X)<~>~brave(X))=>(tall(X)<~>creative(X))))&
((?[X]:((~curious(X)|~strong(X))))<=>(brave(lucy)))&
((~old(fred))=>(?[X]:((~funny(X)|humble(X)))))&
(![X]:((humble(X)<~>~quiet(X))<... | tall(susan) | [] | null | 0 |
If someone is brave then someone is either generous or quiet and vice versa.
If someone is either humble or not brave then lucy is rich or brave.
Everyone who is patient is not generous or kind and vice versa.
Everyone who is either quiet or not curious is both not strong and not quiet.
Everyone who is not happy is eit... | Alice is rich. | entailment | ((?[X]:(brave(X)))<=>(?[X]:((generous(X)<~>quiet(X)))))&
((?[X]:((humble(X)<~>~brave(X))))=>((rich(lucy)|brave(lucy))))&
(![X]:(patient(X)<=>(~generous(X)|kind(X))))&
(![X]:((quiet(X)<~>~curious(X))=>(~strong(X)&~quiet(X))))&
(![X]:(~happy(X)<=>(tall(X)<~>generous(X))))&
((?[X]:((curious(X)<~>~rich(X))))<=>((creative(s... | rich(alice) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6798354547611508955920318
% SZS output start Proof for 6798354547611508955920318
4. ! [X0] : ((quiet(X0) <~> ~curious(X0)) => (~quiet(X0) & ~strong(X0))) [input p3]
5. ! [X0] : (~happy(X0) <=> (tall(X0) <~> generous(X0))) [input p4]
7. ! [X0] : (~rich(X0) <=> (happy(X0) & old(X0))) [input... | 0 |
Everyone who is either not generous or not humble is not patient or calm and vice versa. Everyone who is either patient or not quiet is happy or not kind and vice versa. If someone is both tall and not tall then someone is either humble or rich and vice versa. If someone is happy or generous then susan is not generous ... | Alice is tall. | neutral | (![X]:((~generous(X)<~>~humble(X))<=>(~patient(X)|calm(X))))&
(![X]:((patient(X)<~>~quiet(X))<=>(happy(X)|~kind(X))))&
((?[X]:((tall(X)&~tall(X))))<=>(?[X]:((humble(X)<~>rich(X)))))&
((?[X]:((happy(X)|generous(X))))=>((~generous(susan)|~quiet(susan))))&
((?[X]:(kind(X)))=>(creative(susan)))&
(![X]:((generous(X)<~>calm(... | tall(alice) | [] | null | 0 |
If someone is not curious or not strong then lucy is not old and vice versa.
Everyone who is both not patient and not humble is patient and vice versa.
Everyone who is generous is either not patient or humble.
Everyone who is both not happy and not old is tall and vice versa.
Everyone who is either creative or rich is ... | Paul is not quiet. | neutral | ((?[X]:((~curious(X)|~strong(X))))<=>(~old(lucy)))&
(![X]:((~patient(X)&~humble(X))<=>patient(X)))&
(![X]:(generous(X)=>(~patient(X)<~>humble(X))))&
(![X]:((~happy(X)&~old(X))<=>tall(X)))&
(![X]:((creative(X)<~>rich(X))<=>(generous(X)|~rich(X))))&
((?[X]:((~humble(X)|~wise(X))))=>(?[X]:(quiet(X))))&
((?[X]:((wise(X)<~>... | ~quiet(paul) | [] | null | 0 |
Everyone who is calm or not rich is either quiet or not curious.
Everyone who is not kind is both not wise and not curious and vice versa.
Everyone who is either old or not happy is both not wise and kind.
Everyone who is happy is curious or not curious.
Everyone who is strong or not generous is both patient and not ha... | John is not generous. | contradiction | (![X]:((calm(X)|~rich(X))=>(quiet(X)<~>~curious(X))))&
(![X]:(~kind(X)<=>(~wise(X)&~curious(X))))&
(![X]:((old(X)<~>~happy(X))=>(~wise(X)&kind(X))))&
(![X]:(happy(X)=>(curious(X)|~curious(X))))&
(![X]:((strong(X)|~generous(X))=>(patient(X)&~happy(X))))&
(![X]:((~wise(X)&generous(X))<=>(patient(X)<~>~kind(X))))&
(![X]:(... | ~generous(john) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p9",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5645178091147118423954525
% SZS output start Proof for 5645178091147118423954525
2. ! [X0] : (~kind(X0) <=> (~curious(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((old(X0) <~> ~happy(X0)) => (kind(X0) & ~wise(X0))) [input p2]
5. ! [X0] : ((~generous(X0) | strong(X0)) => (~happy(X0) & patient... | 0 |
If lucy is not calm then paul is not strong. Everyone who is either wise or not old is either creative or not creative and vice versa. Everyone who is either tall or not old is not strong or not old and vice versa. Everyone who is either rich or creative is not kind or patient and vice versa. Everyone who is both not s... | Mary is not creative. | contradiction | ((~calm(lucy))=>(~strong(paul)))&
(![X]:((wise(X)<~>~old(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((tall(X)<~>~old(X))<=>(~strong(X)|~old(X))))&
(![X]:((rich(X)<~>creative(X))<=>(~kind(X)|patient(X))))&
(![X]:((~strong(X)&~happy(X))<=>(calm(X)|~humble(X))))&
((?[X]:(strong(X)))<=>(?[X]:((curious(X)<~>~brave(X)))))&
... | ~creative(mary) | [
"p4",
"p7",
"p8",
"p9",
"p10",
"p14",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5860149282157856346734041
% SZS output start Proof for 5860149282157856346734041
5. ! [X0] : ((~happy(X0) & ~strong(X0)) <=> (~humble(X0) | calm(X0))) [input p4]
8. ! [X0] : ((generous(X0) | ~strong(X0)) <=> (wise(X0) <~> kind(X0))) [input p7]
9. ! [X0] : ((strong(X0) & generous(X0)) <=> ... | 0 |
Everyone who is both calm and rich is not strong or not calm and vice versa.
Everyone who is not creative or not humble is old.
If someone is both calm and not patient then john is creative.
Everyone who is humble is either not creative or funny.
Everyone who is not tall or funny is either calm or not happy.
Everyone w... | Lucy is not funny. | entailment | (![X]:((calm(X)&rich(X))<=>(~strong(X)|~calm(X))))&
(![X]:((~creative(X)|~humble(X))=>old(X)))&
((?[X]:((calm(X)&~patient(X))))=>(creative(john)))&
(![X]:(humble(X)=>(~creative(X)<~>funny(X))))&
(![X]:((~tall(X)|funny(X))=>(calm(X)<~>~happy(X))))&
(![X]:((creative(X)&brave(X))<=>(creative(X)&~kind(X))))&
((?[X]:((happy... | ~funny(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 161135215749630905561176
% SZS output start Proof for 161135215749630905561176
14. ! [X0] : ((~curious(X0) & funny(X0)) <=> curious(X0)) [input p13]
22. funny(lucy) [input hypothesis]
45. ! [X0] : (((~curious(X0) & funny(X0)) | ~curious(X0)) & (curious(X0) | (curious(X0) | ~funny(X0)))) [... | 0 |
If paul is either not happy or happy then john is rich or not quiet and vice versa. Everyone who is either not creative or not rich is both happy and not quiet and vice versa. If paul is not tall then someone is not rich and vice versa. If susan is not old then alice is not creative or not generous. If alice is either ... | Paul is not tall. | neutral | (((~happy(paul)<~>happy(paul)))<=>((rich(john)|~quiet(john))))&
(![X]:((~creative(X)<~>~rich(X))<=>(happy(X)&~quiet(X))))&
((~tall(paul))<=>(?[X]:(~rich(X))))&
((~old(susan))=>((~creative(alice)|~generous(alice))))&
(((~wise(alice)<~>~funny(alice)))=>(?[X]:((curious(X)|tall(X)))))&
(((~rich(paul)<~>~creative(paul)))<=>... | ~tall(paul) | [] | null | 0 |
Everyone who is either quiet or not brave is either calm or not quiet and vice versa. Everyone who is both brave and not happy is either not brave or curious and vice versa. If paul is not calm or not creative then paul is curious or old. If someone is either brave or not rich then someone is both strong and not quiet.... | John is not patient. | entailment | (![X]:((quiet(X)<~>~brave(X))<=>(calm(X)<~>~quiet(X))))&
(![X]:((brave(X)&~happy(X))<=>(~brave(X)<~>curious(X))))&
(((~calm(paul)|~creative(paul)))=>((curious(paul)|old(paul))))&
((?[X]:((brave(X)<~>~rich(X))))=>(?[X]:((strong(X)&~quiet(X)))))&
((?[X]:((calm(X)<~>curious(X))))<=>(?[X]:(generous(X))))&
((?[X]:((~strong(... | ~patient(john) | [
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 48598930470132641019026
% SZS output start Proof for 48598930470132641019026
9. ! [X0] : ((~happy(X0) | ~creative(X0)) => (~kind(X0) & ~patient(X0))) [input p8]
12. ! [X0] : ((~happy(X0) <~> ~funny(X0)) => ~creative(X0)) [input p11]
14. ! [X0] : ((funny(X0) <~> generous(X0)) <=> (generous... | 0 |
Everyone who is either not old or rich is calm or strong.
If alice is not brave or creative then someone is either not curious or not humble.
If mary is funny then someone is wise.
If john is patient then someone is either not old or not quiet.
Everyone who is not funny is not happy.
If someone is both patient and brav... | Lucy is strong. | contradiction | (![X]:((~old(X)<~>rich(X))=>(calm(X)|strong(X))))&
(((~brave(alice)|creative(alice)))=>(?[X]:((~curious(X)<~>~humble(X)))))&
((funny(mary))=>(?[X]:(wise(X))))&
((patient(john))=>(?[X]:((~old(X)<~>~quiet(X)))))&
(![X]:(~funny(X)=>~happy(X)))&
((?[X]:((patient(X)&brave(X))))<=>(?[X]:((~wise(X)|strong(X)))))&
((?[X]:(~bra... | strong(lucy) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7041649645572082210212000
% SZS output start Proof for 7041649645572082210212000
6. ? [X0] : (brave(X0) & patient(X0)) <=> ? [X0] : (strong(X0) | ~wise(X0)) [input p5]
9. ! [X0] : (~brave(X0) <=> (~rich(X0) | patient(X0))) [input p8]
24. strong(lucy) [input hypothesis]
25. ? [X0] : (brave... | 0 |
Everyone who is either funny or not wise is not funny or humble and vice versa. If paul is both not rich and not curious then someone is creative or kind. Everyone who is not kind is either not humble or not tall. If someone is not creative or not calm then someone is not patient or funny. If fred is both strong and fu... | John is curious. | entailment | (![X]:((funny(X)<~>~wise(X))<=>(~funny(X)|humble(X))))&
(((~rich(paul)&~curious(paul)))=>(?[X]:((creative(X)|kind(X)))))&
(![X]:(~kind(X)=>(~humble(X)<~>~tall(X))))&
((?[X]:((~creative(X)|~calm(X))))=>(?[X]:((~patient(X)|funny(X)))))&
(((strong(fred)&funny(fred)))=>(?[X]:((~brave(X)<~>funny(X)))))&
(![X]:((~generous(X)... | curious(john) | [
"p5",
"p7",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9113546054309487841585430
% SZS output start Proof for 9113546054309487841585430
6. ! [X0] : ((~generous(X0) <~> patient(X0)) <=> patient(X0)) [input p5]
8. ! [X0] : ((patient(X0) <~> brave(X0)) <=> ~curious(X0)) [input p7]
13. (generous(john) & patient(john)) <=> (quiet(lucy) | generous(... | 0 |
Everyone who is either creative or kind is both curious and not generous and vice versa.
Everyone who is either tall or not humble is either brave or not calm and vice versa.
Everyone who is either creative or not funny is humble.
Everyone who is happy or wise is both not calm and not patient.
If alice is happy then fr... | John is not curious. | neutral | (![X]:((creative(X)<~>kind(X))<=>(curious(X)&~generous(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(brave(X)<~>~calm(X))))&
(![X]:((creative(X)<~>~funny(X))=>humble(X)))&
(![X]:((happy(X)|wise(X))=>(~calm(X)&~patient(X))))&
((happy(alice))=>((~patient(fred)|~creative(fred))))&
((?[X]:((~funny(X)<~>curious(X))))=>(?[X]:((ric... | ~curious(john) | [] | null | 0 |
Everyone who is not humble or not curious is both not strong and calm. Everyone who is not happy or patient is not strong or kind. Everyone who is either brave or not old is either tall or not old and vice versa. Everyone who is tall or not quiet is both happy and not brave and vice versa. If susan is both not humble a... | Mary is not calm. | contradiction | (![X]:((~humble(X)|~curious(X))=>(~strong(X)&calm(X))))&
(![X]:((~happy(X)|patient(X))=>(~strong(X)|kind(X))))&
(![X]:((brave(X)<~>~old(X))<=>(tall(X)<~>~old(X))))&
(![X]:((tall(X)|~quiet(X))<=>(happy(X)&~brave(X))))&
(((~humble(susan)&calm(susan)))<=>(?[X]:(rich(X))))&
((?[X]:((brave(X)&creative(X))))=>(?[X]:((~tall(X... | ~calm(mary) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3915524635593182024477559
% SZS output start Proof for 3915524635593182024477559
1. ! [X0] : ((~curious(X0) | ~humble(X0)) => (calm(X0) & ~strong(X0))) [input p0]
21. ~humble(mary) [input p20]
24. ~calm(mary) [input hypothesis]
29. ! [X0] : ((~curious(X0) | ~humble(X0)) => calm(X0)) [pure... | 0 |
Everyone who is generous is wise or not funny and vice versa. If paul is not strong then someone is both not patient and not brave and vice versa. If alice is curious then someone is both generous and not generous. Everyone who is both strong and not old is either tall or strong and vice versa. If mary is both creative... | Paul is happy. | neutral | (![X]:(generous(X)<=>(wise(X)|~funny(X))))&
((~strong(paul))<=>(?[X]:((~patient(X)&~brave(X)))))&
((curious(alice))=>(?[X]:((generous(X)&~generous(X)))))&
(![X]:((strong(X)&~old(X))<=>(tall(X)<~>strong(X))))&
(((creative(mary)&old(mary)))<=>(?[X]:((~quiet(X)<~>~calm(X)))))&
((?[X]:(kind(X)))<=>((humble(susan)<~>~calm(s... | happy(paul) | [] | null | 0 |
If someone is both creative and happy then someone is both not rich and not funny and vice versa.
Everyone who is quiet is not generous.
Everyone who is both creative and rich is either not rich or curious.
Everyone who is creative is either not old or funny and vice versa.
If someone is patient or not quiet then john ... | John is creative. | neutral | ((?[X]:((creative(X)&happy(X))))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:(quiet(X)=>~generous(X)))&
(![X]:((creative(X)&rich(X))=>(~rich(X)<~>curious(X))))&
(![X]:(creative(X)<=>(~old(X)<~>funny(X))))&
((?[X]:((patient(X)|~quiet(X))))<=>((curious(john)<~>~humble(john))))&
((?[X]:((~rich(X)|generous(X))))=>(generous(ali... | creative(john) | [] | null | 0 |
Everyone who is both not brave and patient is not happy or humble and vice versa.
Everyone who is both happy and tall is not calm and vice versa.
Everyone who is funny is humble and vice versa.
Everyone who is humble or quiet is either old or not happy and vice versa.
Everyone who is quiet is either calm or tall.
If ma... | Alice is brave. | neutral | (![X]:((~brave(X)&patient(X))<=>(~happy(X)|humble(X))))&
(![X]:((happy(X)&tall(X))<=>~calm(X)))&
(![X]:(funny(X)<=>humble(X)))&
(![X]:((humble(X)|quiet(X))<=>(old(X)<~>~happy(X))))&
(![X]:(quiet(X)=>(calm(X)<~>tall(X))))&
((old(mary))<=>(?[X]:((~kind(X)<~>~strong(X)))))&
(![X]:((~patient(X)&generous(X))=>(~old(X)<~>~ca... | brave(alice) | [] | null | 0 |
Everyone who is creative or not strong is both not kind and not funny. If lucy is both kind and not generous then alice is both not curious and rich. If someone is not happy or not funny then mary is either not curious or rich. Everyone who is patient or happy is not generous. Everyone who is both not happy and not wis... | John is not funny. | entailment | (![X]:((creative(X)|~strong(X))=>(~kind(X)&~funny(X))))&
(((kind(lucy)&~generous(lucy)))=>((~curious(alice)&rich(alice))))&
((?[X]:((~happy(X)|~funny(X))))=>((~curious(mary)<~>rich(mary))))&
(![X]:((patient(X)|happy(X))=>~generous(X)))&
(![X]:((~happy(X)&~wise(X))<=>~patient(X)))&
((~brave(mary))<=>(?[X]:((kind(X)&~hap... | ~funny(john) | [
"p0",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1544793323144817191271106
% SZS output start Proof for 1544793323144817191271106
1. ! [X0] : ((~strong(X0) | creative(X0)) => (~funny(X0) & ~kind(X0))) [input p0]
10. ! [X0] : (happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p9]
16. ! [X0] : (happy(X0) <=> (~kind(X0) | ~happy(X0))) [in... | 0 |
If mary is creative or not funny then someone is either patient or not brave and vice versa. Everyone who is humble or not wise is quiet. Everyone who is either strong or not funny is not generous or not old and vice versa. Everyone who is both calm and not patient is rich. Everyone who is not old is either calm or not... | Fred is not calm. | entailment | (((creative(mary)|~funny(mary)))<=>(?[X]:((patient(X)<~>~brave(X)))))&
(![X]:((humble(X)|~wise(X))=>quiet(X)))&
(![X]:((strong(X)<~>~funny(X))<=>(~generous(X)|~old(X))))&
(![X]:((calm(X)&~patient(X))=>rich(X)))&
(![X]:(~old(X)<=>(calm(X)<~>~generous(X))))&
(![X]:(~happy(X)=>creative(X)))&
((?[X]:(calm(X)))=>(?[X]:((~ri... | ~calm(fred) | [
"p1",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8499271180060420944147685
% SZS output start Proof for 8499271180060420944147685
2. ! [X0] : ((~wise(X0) | humble(X0)) => quiet(X0)) [input p1]
9. ? [X0] : (quiet(X0) & humble(X0)) <=> ? [X0] : (tall(X0) | ~funny(X0)) [input p8]
11. ! [X0] : ((creative(X0) | quiet(X0)) => (~humble(X0) & t... | 0 |
If lucy is both not funny and generous then someone is curious and vice versa. If susan is both humble and not creative then fred is both generous and creative. If fred is either not tall or not generous then someone is either funny or not rich and vice versa. If john is humble or not patient then lucy is both not happ... | Fred is not calm. | contradiction | (((~funny(lucy)&generous(lucy)))<=>(?[X]:(curious(X))))&
(((humble(susan)&~creative(susan)))=>((generous(fred)&creative(fred))))&
(((~tall(fred)<~>~generous(fred)))<=>(?[X]:((funny(X)<~>~rich(X)))))&
(((humble(john)|~patient(john)))<=>((~happy(lucy)&tall(lucy))))&
(![X]:(~calm(X)=>(creative(X)<~>humble(X))))&
((?[X]:((... | ~calm(fred) | [
"p10",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6888610696542167972280609
% SZS output start Proof for 6888610696542167972280609
11. ! [X0] : (brave(X0) <=> (~strong(X0) & funny(X0))) [input p10]
18. strong(fred) [input p17]
20. calm(fred) <~> brave(fred) [input p19]
24. ~calm(fred) [input hypothesis]
61. ! [X0] : ((brave(X0) | (strong... | 0 |
If paul is either not calm or not funny then susan is not wise or brave. Everyone who is both rich and kind is both not creative and rich and vice versa. Everyone who is not quiet is wise or not calm and vice versa. Everyone who is either tall or calm is not quiet and vice versa. Everyone who is tall is not funny or no... | Paul is tall. | entailment | (((~calm(paul)<~>~funny(paul)))=>((~wise(susan)|brave(susan))))&
(![X]:((rich(X)&kind(X))<=>(~creative(X)&rich(X))))&
(![X]:(~quiet(X)<=>(wise(X)|~calm(X))))&
(![X]:((tall(X)<~>calm(X))<=>~quiet(X)))&
(![X]:(tall(X)<=>(~funny(X)|~rich(X))))&
(![X]:(~strong(X)=>(rich(X)<~>wise(X))))&
(![X]:(~old(X)=>~kind(X)))&
(((calm(... | tall(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3110367960077175660236393
% SZS output start Proof for 3110367960077175660236393
10. ! [X0] : ((~tall(X0) | rich(X0)) => (old(X0) & tall(X0))) [input p9]
25. ~tall(paul) [input hypothesis]
34. ! [X0] : ((old(X0) & tall(X0)) | (tall(X0) & ~rich(X0))) [ennf transformation 10]
88. tall(X0) |... | 0 |
Everyone who is either tall or not strong is either not calm or not patient. Everyone who is funny or brave is curious and vice versa. If fred is either curious or not rich then someone is either patient or happy. If lucy is rich or brave then lucy is either kind or not quiet and vice versa. Everyone who is not creativ... | Lucy is humble. | entailment | (![X]:((tall(X)<~>~strong(X))=>(~calm(X)<~>~patient(X))))&
(![X]:((funny(X)|brave(X))<=>curious(X)))&
(((curious(fred)<~>~rich(fred)))=>(?[X]:((patient(X)<~>happy(X)))))&
(((rich(lucy)|brave(lucy)))<=>((kind(lucy)<~>~quiet(lucy))))&
(![X]:(~creative(X)=>(~wise(X)|~tall(X))))&
(![X]:((~humble(X)&generous(X))=>(old(X)|fu... | humble(lucy) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3859648226308961376440371
% SZS output start Proof for 3859648226308961376440371
22. humble(lucy) [input p21]
23. ~humble(lucy) [input hypothesis]
128. humble(lucy) [cnf transformation 22]
129. ~humble(lucy) [cnf transformation 23]
288. $false [subsumption resolution 129,128]
% SZS output... | 0 |
Everyone who is not brave is not old. Everyone who is both brave and calm is both patient and generous and vice versa. Everyone who is old is not wise or happy and vice versa. Everyone who is not generous or not quiet is both strong and not humble and vice versa. Everyone who is not quiet or tall is either not brave or... | Mary is not brave. | contradiction | (![X]:(~brave(X)=>~old(X)))&
(![X]:((brave(X)&calm(X))<=>(patient(X)&generous(X))))&
(![X]:(old(X)<=>(~wise(X)|happy(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(strong(X)&~humble(X))))&
(![X]:((~quiet(X)|tall(X))<=>(~brave(X)<~>~strong(X))))&
(![X]:((~quiet(X)|rich(X))=>(~rich(X)&kind(X))))&
((?[X]:((~strong(X)&~rich(X))... | ~brave(mary) | [
"p3",
"p4",
"p5",
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5628544324683091924500627
% SZS output start Proof for 5628544324683091924500627
4. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (~humble(X0) & strong(X0))) [input p3]
5. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> (~brave(X0) <~> ~strong(X0))) [input p4]
6. ! [X0] : ((rich(X0) | ~quiet(X0)) => (... | 0 |
Everyone who is not generous is both not generous and not quiet.
Everyone who is either old or not kind is both calm and not patient and vice versa.
If someone is both rich and not generous then lucy is both not calm and brave.
Everyone who is both wise and strong is not generous and vice versa.
If mary is either not h... | Mary is kind. | neutral | (![X]:(~generous(X)=>(~generous(X)&~quiet(X))))&
(![X]:((old(X)<~>~kind(X))<=>(calm(X)&~patient(X))))&
((?[X]:((rich(X)&~generous(X))))=>((~calm(lucy)&brave(lucy))))&
(![X]:((wise(X)&strong(X))<=>~generous(X)))&
(((~humble(mary)<~>~quiet(mary)))=>((kind(john)<~>funny(john))))&
(((creative(alice)<~>happy(alice)))<=>(?[X... | kind(mary) | [] | null | 0 |
Everyone who is patient or quiet is patient.
If lucy is creative or patient then someone is strong or happy and vice versa.
Everyone who is both curious and humble is either quiet or brave.
Everyone who is either happy or calm is curious or not rich and vice versa.
If alice is both not creative and tall then someone is... | Mary is not creative. | contradiction | (![X]:((patient(X)|quiet(X))=>patient(X)))&
(((creative(lucy)|patient(lucy)))<=>(?[X]:((strong(X)|happy(X)))))&
(![X]:((curious(X)&humble(X))=>(quiet(X)<~>brave(X))))&
(![X]:((happy(X)<~>calm(X))<=>(curious(X)|~rich(X))))&
(((~creative(alice)&tall(alice)))<=>(?[X]:((~funny(X)&generous(X)))))&
(![X]:((~brave(X)&~generou... | ~creative(mary) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 699511691371787919633736
% SZS output start Proof for 699511691371787919633736
1. ! [X0] : ((quiet(X0) | patient(X0)) => patient(X0)) [input p0]
11. (~funny(mary) & creative(mary)) <=> (~quiet(susan) | patient(susan)) [input p10]
25. ~creative(mary) [input hypothesis]
32. ! [X0] : (patien... | 0 |
If someone is strong or not calm then mary is either not creative or not happy and vice versa.
Everyone who is tall or curious is both strong and not creative.
If fred is creative or quiet then john is either not strong or curious.
If mary is calm then lucy is not quiet and vice versa.
Everyone who is both quiet and no... | Fred is not kind. | neutral | ((?[X]:((strong(X)|~calm(X))))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:((tall(X)|curious(X))=>(strong(X)&~creative(X))))&
(((creative(fred)|quiet(fred)))=>((~strong(john)<~>curious(john))))&
((calm(mary))<=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~happy(X)))&
(![X]:(creative(X)<=>(~wise(X)|tall(X))))&
((~pa... | ~kind(fred) | [] | null | 0 |
Everyone who is strong or not rich is not generous and vice versa.
Everyone who is calm is either not strong or humble and vice versa.
Everyone who is either generous or not rich is both old and kind and vice versa.
Everyone who is generous or kind is strong and vice versa.
Everyone who is not patient or humble is funn... | Fred is not happy. | contradiction | (![X]:((strong(X)|~rich(X))<=>~generous(X)))&
(![X]:(calm(X)<=>(~strong(X)<~>humble(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(old(X)&kind(X))))&
(![X]:((generous(X)|kind(X))<=>strong(X)))&
(![X]:((~patient(X)|humble(X))<=>funny(X)))&
((?[X]:((creative(X)&old(X))))=>(?[X]:((old(X)&creative(X)))))&
(![X]:((generous(X)|ha... | ~happy(fred) | [
"p0",
"p2",
"p3",
"p7",
"p10",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6297386917061359152823400
% SZS output start Proof for 6297386917061359152823400
1. ! [X0] : ((~rich(X0) | strong(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (kind(X0) & old(X0))) [input p2]
4. ! [X0] : ((kind(X0) | generous(X0)) <=> strong(X0)) [input... | 0 |
Everyone who is creative is not strong.
If lucy is not wise then someone is both happy and not wise.
Everyone who is either not brave or old is both wise and strong and vice versa.
Everyone who is either not brave or not humble is both not strong and not calm and vice versa.
Everyone who is not quiet is either strong o... | Mary is tall. | neutral | (![X]:(creative(X)=>~strong(X)))&
((~wise(lucy))=>(?[X]:((happy(X)&~wise(X)))))&
(![X]:((~brave(X)<~>old(X))<=>(wise(X)&strong(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:(~quiet(X)=>(strong(X)<~>old(X))))&
(![X]:((old(X)<~>~humble(X))=>(~creative(X)|~tall(X))))&
(![X]:(~brave(X)<=>(creative... | tall(mary) | [] | null | 0 |
If alice is either not creative or brave then someone is not tall and vice versa. Everyone who is either strong or quiet is not strong and vice versa. Everyone who is either calm or not quiet is either not humble or not calm and vice versa. If fred is both not creative and calm then fred is either not rich or not tall.... | Mary is humble. | contradiction | (((~creative(alice)<~>brave(alice)))<=>(?[X]:(~tall(X))))&
(![X]:((strong(X)<~>quiet(X))<=>~strong(X)))&
(![X]:((calm(X)<~>~quiet(X))<=>(~humble(X)<~>~calm(X))))&
(((~creative(fred)&calm(fred)))=>((~rich(fred)<~>~tall(fred))))&
(![X]:((humble(X)<~>funny(X))<=>(rich(X)|~quiet(X))))&
((?[X]:((~kind(X)|~quiet(X))))<=>(?[X... | humble(mary) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 944787869884464089223072
% SZS output start Proof for 944787869884464089223072
2. ! [X0] : ((strong(X0) <~> quiet(X0)) <=> ~strong(X0)) [input p1]
3. ! [X0] : ((calm(X0) <~> ~quiet(X0)) <=> (~humble(X0) <~> ~calm(X0))) [input p2]
23. humble(mary) [input hypothesis]
37. ! [X0] : ((((~quiet... | 0 |
If someone is happy or calm then someone is not kind and vice versa.
If mary is curious then john is either brave or old and vice versa.
Everyone who is both not tall and not kind is not happy or not patient and vice versa.
Everyone who is generous is old or calm and vice versa.
If someone is not wise or not creative t... | John is old. | neutral | ((?[X]:((happy(X)|calm(X))))<=>(?[X]:(~kind(X))))&
((curious(mary))<=>((brave(john)<~>old(john))))&
(![X]:((~tall(X)&~kind(X))<=>(~happy(X)|~patient(X))))&
(![X]:(generous(X)<=>(old(X)|calm(X))))&
((?[X]:((~wise(X)|~creative(X))))=>(?[X]:((happy(X)&~old(X)))))&
((?[X]:((~strong(X)|~funny(X))))=>((brave(fred)|~rich(fred... | old(john) | [] | null | 0 |
Everyone who is not funny is happy or generous. If susan is not wise then someone is funny and vice versa. Everyone who is either not old or not patient is both quiet and calm and vice versa. If someone is both not quiet and not wise then lucy is curious or patient and vice versa. Everyone who is wise or not funny is b... | Mary is not calm. | entailment | (![X]:(~funny(X)=>(happy(X)|generous(X))))&
((~wise(susan))<=>(?[X]:(funny(X))))&
(![X]:((~old(X)<~>~patient(X))<=>(quiet(X)&calm(X))))&
((?[X]:((~quiet(X)&~wise(X))))<=>((curious(lucy)|patient(lucy))))&
(![X]:((wise(X)|~funny(X))=>(brave(X)&~creative(X))))&
((?[X]:((tall(X)<~>~humble(X))))=>(rich(susan)))&
(![X]:(~ric... | ~calm(mary) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 580256597114449852799161
% SZS output start Proof for 580256597114449852799161
5. ! [X0] : ((~funny(X0) | wise(X0)) => (~creative(X0) & brave(X0))) [input p4]
8. ! [X0] : ((quiet(X0) | calm(X0)) <=> (creative(X0) & ~funny(X0))) [input p7]
25. calm(mary) [input hypothesis]
32. ! [X0] : ((~... | 0 |
If someone is not rich then someone is not generous or curious and vice versa.
Everyone who is both quiet and creative is rich.
If lucy is both creative and not curious then paul is both happy and not old and vice versa.
If someone is both curious and not creative then someone is both happy and brave and vice versa.
If... | Paul is not old. | neutral | ((?[X]:(~rich(X)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((quiet(X)&creative(X))=>rich(X)))&
(((creative(lucy)&~curious(lucy)))<=>((happy(paul)&~old(paul))))&
((?[X]:((curious(X)&~creative(X))))<=>(?[X]:((happy(X)&brave(X)))))&
(((old(lucy)<~>kind(lucy)))=>(?[X]:(brave(X))))&
(![X]:((~rich(X)|curious(X))<=>(funn... | ~old(paul) | [] | null | 0 |
Everyone who is creative or brave is either curious or not creative and vice versa. If someone is calm then john is not humble and vice versa. If someone is quiet or old then someone is both not tall and calm. Everyone who is not wise is either strong or not quiet and vice versa. Everyone who is both curious and genero... | John is not tall. | entailment | (![X]:((creative(X)|brave(X))<=>(curious(X)<~>~creative(X))))&
((?[X]:(calm(X)))<=>(~humble(john)))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:((~tall(X)&calm(X)))))&
(![X]:(~wise(X)<=>(strong(X)<~>~quiet(X))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X))))&
(![X]:((~tall(X)<~>strong(X))=>(~curious(X)&funny(X))))&... | ~tall(john) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7808345351792497759687115
% SZS output start Proof for 7808345351792497759687115
1. ! [X0] : ((brave(X0) | creative(X0)) <=> (curious(X0) <~> ~creative(X0))) [input p0]
2. ? [X0] : calm(X0) <=> ~humble(john) [input p1]
5. ! [X0] : ((generous(X0) & curious(X0)) <=> (~strong(X0) | funny(X0)... | 0 |
Everyone who is brave is either not tall or generous.
Everyone who is not humble or wise is both not wise and not happy and vice versa.
If lucy is creative then alice is both not patient and not calm.
If john is both not humble and strong then paul is either humble or kind.
If john is either not tall or not humble then... | Paul is patient. | neutral | (![X]:(brave(X)=>(~tall(X)<~>generous(X))))&
(![X]:((~humble(X)|wise(X))<=>(~wise(X)&~happy(X))))&
((creative(lucy))=>((~patient(alice)&~calm(alice))))&
(((~humble(john)&strong(john)))=>((humble(paul)<~>kind(paul))))&
(((~tall(john)<~>~humble(john)))=>((kind(susan)<~>tall(susan))))&
((?[X]:((patient(X)&old(X))))<=>(?[X... | patient(paul) | [] | null | 0 |
If susan is curious or not generous then paul is both generous and not wise. Everyone who is either not calm or not quiet is kind and vice versa. If someone is calm or not patient then alice is both calm and humble and vice versa. If someone is tall or brave then someone is both not humble and not kind. Everyone who is... | Alice is brave. | entailment | (((curious(susan)|~generous(susan)))=>((generous(paul)&~wise(paul))))&
(![X]:((~calm(X)<~>~quiet(X))<=>kind(X)))&
((?[X]:((calm(X)|~patient(X))))<=>((calm(alice)&humble(alice))))&
((?[X]:((tall(X)|brave(X))))=>(?[X]:((~humble(X)&~kind(X)))))&
(![X]:((~tall(X)|~brave(X))<=>~old(X)))&
(((~curious(fred)<~>~tall(fred)))=>(... | brave(alice) | [
"p2",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 291695156856999064812634
% SZS output start Proof for 291695156856999064812634
3. ? [X0] : (~patient(X0) | calm(X0)) <=> (humble(alice) & calm(alice)) [input p2]
9. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> (~humble(X0) & ~kind(X0))) [input p8]
11. ? [X0] : (~tall(X0) | ~strong(X0)) <=> (~pa... | 0 |
If paul is brave or not tall then someone is brave or happy. Everyone who is not curious is patient and vice versa. Everyone who is not generous is curious and vice versa. Everyone who is not strong or old is both funny and not tall. Everyone who is not creative or not brave is both tall and curious and vice versa. Eve... | Fred is wise. | entailment | (((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative(X)|~brave(X))<=>(tall(X)&curious(X))))&
(![X]:((funny(X)&~patient(X))<=>(rich(X)<~>~calm(X))))&
((?[X]:((~generous(X)|f... | wise(fred) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"p9",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7011172813684363222141612
% SZS output start Proof for 7011172813684363222141612
2. ! [X0] : (~curious(X0) <=> patient(X0)) [input p1]
3. ! [X0] : (~generous(X0) <=> curious(X0)) [input p2]
4. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p3]
5. ! [X0] : ((~brave(X0... | 0 |
If someone is both not wise and not calm then alice is both old and not humble. If someone is both not tall and rich then someone is not rich or not happy. If fred is kind then alice is brave and vice versa. Everyone who is not brave or happy is both not calm and generous. If fred is either not kind or not patient then... | Fred is not quiet. | entailment | ((?[X]:((~wise(X)&~calm(X))))=>((old(alice)&~humble(alice))))&
((?[X]:((~tall(X)&rich(X))))=>(?[X]:((~rich(X)|~happy(X)))))&
((kind(fred))<=>(brave(alice)))&
(![X]:((~brave(X)|happy(X))=>(~calm(X)&generous(X))))&
(((~kind(fred)<~>~patient(fred)))=>(?[X]:((~quiet(X)|brave(X)))))&
(![X]:(~creative(X)=>curious(X)))&
(![X]... | ~quiet(fred) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 556714425860667878617128
% SZS output start Proof for 556714425860667878617128
8. ! [X0] : (funny(X0) => (~quiet(X0) & ~generous(X0))) [input p7]
10. ! [X0] : ((quiet(X0) | generous(X0)) => funny(X0)) [input p9]
24. quiet(fred) [input hypothesis]
32. ! [X0] : ((~quiet(X0) & ~generous(X0))... | 0 |
Everyone who is not curious is either not tall or creative and vice versa. Everyone who is not rich or quiet is both strong and not funny and vice versa. Everyone who is tall or brave is both not tall and funny and vice versa. If someone is not funny then susan is not generous or funny and vice versa. If paul is quiet ... | Paul is quiet. | neutral | (![X]:(~curious(X)<=>(~tall(X)<~>creative(X))))&
(![X]:((~rich(X)|quiet(X))<=>(strong(X)&~funny(X))))&
(![X]:((tall(X)|brave(X))<=>(~tall(X)&funny(X))))&
((?[X]:(~funny(X)))<=>((~generous(susan)|funny(susan))))&
((quiet(paul))=>(?[X]:(brave(X))))&
(((happy(mary)|~strong(mary)))<=>(?[X]:((~tall(X)|~quiet(X)))))&
(![X]:(... | quiet(paul) | [] | null | 0 |
If someone is quiet then lucy is generous or not patient and vice versa.
If someone is calm or not tall then someone is either strong or patient.
Everyone who is either not patient or rich is not humble and vice versa.
Everyone who is not tall or funny is not funny.
Everyone who is strong is not funny or not brave.
Eve... | Paul is funny. | contradiction | ((?[X]:(quiet(X)))<=>((generous(lucy)|~patient(lucy))))&
((?[X]:((calm(X)|~tall(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((~patient(X)<~>rich(X))<=>~humble(X)))&
(![X]:((~tall(X)|funny(X))=>~funny(X)))&
(![X]:(strong(X)=>(~funny(X)|~brave(X))))&
(![X]:(~old(X)=>(happy(X)|kind(X))))&
(![X]:((humble(X)&~strong(X)... | funny(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6338305414914171071800929
% SZS output start Proof for 6338305414914171071800929
4. ! [X0] : ((funny(X0) | ~tall(X0)) => ~funny(X0)) [input p3]
22. funny(paul) [input hypothesis]
29. ! [X0] : (~funny(X0) | (~funny(X0) & tall(X0))) [ennf transformation 4]
84. ~funny(X0) | ~funny(X0) [cnf t... | 0 |
Everyone who is funny or not calm is humble or old and vice versa. If someone is wise or tall then someone is either not wise or not rich and vice versa. Everyone who is wise is not curious and vice versa. Everyone who is both not wise and not rich is not wise or not rich and vice versa. Everyone who is not wise or not... | Fred is not tall. | entailment | (![X]:((funny(X)|~calm(X))<=>(humble(X)|old(X))))&
((?[X]:((wise(X)|tall(X))))<=>(?[X]:((~wise(X)<~>~rich(X)))))&
(![X]:(wise(X)<=>~curious(X)))&
(![X]:((~wise(X)&~rich(X))<=>(~wise(X)|~rich(X))))&
(![X]:((~wise(X)|~generous(X))=>curious(X)))&
(![X]:((old(X)<~>~kind(X))<=>(quiet(X)&~wise(X))))&
((?[X]:(~happy(X)))<=>(?... | ~tall(fred) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7952607346352367723129867
% SZS output start Proof for 7952607346352367723129867
2. ? [X0] : (tall(X0) | wise(X0)) <=> ? [X0] : (~wise(X0) <~> ~rich(X0)) [input p1]
4. ! [X0] : ((~rich(X0) & ~wise(X0)) <=> (~rich(X0) | ~wise(X0))) [input p3]
24. tall(fred) [input hypothesis]
25. ? [X0] : ... | 0 |
If alice is either humble or not old then someone is funny. If paul is either curious or not creative then someone is not wise. Everyone who is not brave is both not tall and creative and vice versa. Everyone who is both calm and not quiet is either not quiet or not happy. If john is not old or not quiet then paul is t... | Lucy is not brave. | neutral | (((humble(alice)<~>~old(alice)))=>(?[X]:(funny(X))))&
(((curious(paul)<~>~creative(paul)))=>(?[X]:(~wise(X))))&
(![X]:(~brave(X)<=>(~tall(X)&creative(X))))&
(![X]:((calm(X)&~quiet(X))=>(~quiet(X)<~>~happy(X))))&
(((~old(john)|~quiet(john)))<=>((tall(paul)|~happy(paul))))&
(![X]:(old(X)<=>(~tall(X)|humble(X))))&
(![X]:(... | ~brave(lucy) | [] | null | 0 |
If lucy is not brave or strong then susan is both not generous and wise and vice versa.
Everyone who is either not humble or strong is happy.
If someone is funny or curious then someone is not humble or not generous and vice versa.
Everyone who is either not wise or not brave is not quiet.
Everyone who is both happy an... | Susan is not generous. | neutral | (((~brave(lucy)|strong(lucy)))<=>((~generous(susan)&wise(susan))))&
(![X]:((~humble(X)<~>strong(X))=>happy(X)))&
((?[X]:((funny(X)|curious(X))))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~wise(X)<~>~brave(X))=>~quiet(X)))&
(![X]:((happy(X)&old(X))=>(~happy(X)|quiet(X))))&
((?[X]:((~kind(X)&~tall(X))))=>(?[X]:((cur... | ~generous(susan) | [] | null | 0 |
Everyone who is not strong or not brave is happy and vice versa.
If paul is both not curious and strong then someone is both not humble and happy.
If paul is both calm and not old then someone is curious and vice versa.
Everyone who is not wise is not quiet.
If someone is quiet or not strong then someone is both not qu... | Paul is not generous. | entailment | (![X]:((~strong(X)|~brave(X))<=>happy(X)))&
(((~curious(paul)&strong(paul)))=>(?[X]:((~humble(X)&happy(X)))))&
(((calm(paul)&~old(paul)))<=>(?[X]:(curious(X))))&
(![X]:(~wise(X)=>~quiet(X)))&
((?[X]:((quiet(X)|~strong(X))))<=>(?[X]:((~quiet(X)&~calm(X)))))&
(((humble(paul)|~kind(paul)))<=>(?[X]:((funny(X)<~>old(X)))))&... | ~generous(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 646356962453032609768758
% SZS output start Proof for 646356962453032609768758
12. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~happy(X0) & ~generous(X0))) [input p11]
25. generous(paul) [input hypothesis]
67. ! [X0] : ((((curious(X0) | ~curious(X0)) & (~curious(X0) | curious(X0))) | (h... | 0 |
If alice is not creative or old then lucy is tall or patient and vice versa. If alice is wise or not rich then susan is not old or tall. Everyone who is not happy or not kind is both not strong and tall. Everyone who is either not old or not quiet is either not creative or strong and vice versa. If susan is generous th... | Fred is happy. | entailment | (((~creative(alice)|old(alice)))<=>((tall(lucy)|patient(lucy))))&
(((wise(alice)|~rich(alice)))=>((~old(susan)|tall(susan))))&
(![X]:((~happy(X)|~kind(X))=>(~strong(X)&tall(X))))&
(![X]:((~old(X)<~>~quiet(X))<=>(~creative(X)<~>strong(X))))&
((generous(susan))<=>((~old(fred)<~>~brave(fred))))&
(![X]:((~generous(X)&stron... | happy(fred) | [
"p12",
"p14",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5703620361068358415815978
% SZS output start Proof for 5703620361068358415815978
13. ! [X0] : ((funny(X0) & happy(X0)) <=> (funny(X0) <~> ~kind(X0))) [input p12]
15. ! [X0] : (~kind(X0) => rich(X0)) [input p14]
19. funny(fred) & ~curious(fred) [input p18]
22. ~rich(fred) & creative(fred) ... | 0 |
Everyone who is either wise or not patient is either not calm or old and vice versa.
Everyone who is both funny and tall is both not funny and happy and vice versa.
Everyone who is both brave and kind is old and vice versa.
If john is both brave and curious then mary is creative.
If john is wise or not quiet then lucy ... | Lucy is not old. | contradiction | (![X]:((wise(X)<~>~patient(X))<=>(~calm(X)<~>old(X))))&
(![X]:((funny(X)&tall(X))<=>(~funny(X)&happy(X))))&
(![X]:((brave(X)&kind(X))<=>old(X)))&
(((brave(john)&curious(john)))=>(creative(mary)))&
(((wise(john)|~quiet(john)))=>(quiet(lucy)))&
(![X]:((strong(X)|~old(X))=>(humble(X)<~>~rich(X))))&
(![X]:((old(X)|~funny(X... | ~old(lucy) | [
"p1",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3430598752117877544160284
% SZS output start Proof for 3430598752117877544160284
2. ! [X0] : ((tall(X0) & funny(X0)) <=> (happy(X0) & ~funny(X0))) [input p1]
7. ! [X0] : ((~funny(X0) | old(X0)) => ~tall(X0)) [input p6]
15. ? [X0] : ~strong(X0) => ? [X0] : (~curious(X0) & tall(X0)) [input ... | 0 |
If someone is both old and tall then someone is strong or not generous. Everyone who is both creative and not generous is kind or happy. If someone is either not tall or not quiet then someone is funny or creative and vice versa. Everyone who is either not humble or strong is not happy or not kind. Everyone who is not ... | Mary is not generous. | contradiction | ((?[X]:((old(X)&tall(X))))=>(?[X]:((strong(X)|~generous(X)))))&
(![X]:((creative(X)&~generous(X))=>(kind(X)|happy(X))))&
((?[X]:((~tall(X)<~>~quiet(X))))<=>(?[X]:((funny(X)|creative(X)))))&
(![X]:((~humble(X)<~>strong(X))=>(~happy(X)|~kind(X))))&
(![X]:(~kind(X)=>(creative(X)&~kind(X))))&
((?[X]:((~creative(X)<~>~rich(... | ~generous(mary) | [
"p4",
"p9",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 155782744415860153138658
% SZS output start Proof for 155782744415860153138658
5. ! [X0] : (~kind(X0) => (~kind(X0) & creative(X0))) [input p4]
10. ! [X0] : ((~rich(X0) | ~strong(X0)) => (~patient(X0) & generous(X0))) [input p9]
14. ! [X0] : ((calm(X0) | wise(X0)) => ~creative(X0)) [input... | 0 |
If someone is not humble or not quiet then someone is not strong and vice versa. Everyone who is either brave or quiet is creative or brave and vice versa. If susan is not creative then fred is both not curious and quiet and vice versa. Everyone who is both not quiet and not rich is both not humble and quiet and vice v... | Susan is not funny. | entailment | ((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:(~strong(X))))&
(![X]:((brave(X)<~>quiet(X))<=>(creative(X)|brave(X))))&
((~creative(susan))<=>((~curious(fred)&quiet(fred))))&
(![X]:((~quiet(X)&~rich(X))<=>(~humble(X)&quiet(X))))&
((calm(mary))<=>(?[X]:((calm(X)&~curious(X)))))&
(![X]:((patient(X)<~>~calm(X))<=>(quiet(X)|crea... | ~funny(susan) | [
"p1",
"p2",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5358850419210143078614350
% SZS output start Proof for 5358850419210143078614350
2. ! [X0] : ((brave(X0) <~> quiet(X0)) <=> (brave(X0) | creative(X0))) [input p1]
3. ~creative(susan) <=> (quiet(fred) & ~curious(fred)) [input p2]
13. ? [X0] : (~quiet(X0) | old(X0)) <=> (creative(susan) <~>... | 0 |
Everyone who is both patient and not funny is not kind or creative.
If fred is both generous and rich then paul is either funny or wise and vice versa.
If alice is either old or not calm then john is curious.
Everyone who is both not wise and not funny is either funny or generous and vice versa.
If mary is funny then s... | Fred is rich. | entailment | (![X]:((patient(X)&~funny(X))=>(~kind(X)|creative(X))))&
(((generous(fred)&rich(fred)))<=>((funny(paul)<~>wise(paul))))&
(((old(alice)<~>~calm(alice)))=>(curious(john)))&
(![X]:((~wise(X)&~funny(X))<=>(funny(X)<~>generous(X))))&
((funny(mary))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)|~wise(X))))=>((brave(... | rich(fred) | [
"p1",
"p3",
"p8",
"p13",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7337341890492613613868220
% SZS output start Proof for 7337341890492613613868220
2. (rich(fred) & generous(fred)) <=> (funny(paul) <~> wise(paul)) [input p1]
4. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (funny(X0) <~> generous(X0))) [input p3]
9. ! [X0] : ((~generous(X0) | calm(X0)) => rich(... | 0 |
If someone is funny then someone is happy or not happy and vice versa. Everyone who is rich or creative is either not generous or humble and vice versa. If someone is either creative or happy then fred is either curious or not patient and vice versa. Everyone who is old is either funny or not tall. Everyone who is calm... | Mary is curious. | neutral | ((?[X]:(funny(X)))<=>(?[X]:((happy(X)|~happy(X)))))&
(![X]:((rich(X)|creative(X))<=>(~generous(X)<~>humble(X))))&
((?[X]:((creative(X)<~>happy(X))))<=>((curious(fred)<~>~patient(fred))))&
(![X]:(old(X)=>(funny(X)<~>~tall(X))))&
(![X]:((calm(X)|~funny(X))=>(~brave(X)&~rich(X))))&
(((~quiet(alice)<~>kind(alice)))<=>((~fu... | curious(mary) | [] | 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 496595130362951342420350
% SZS output start Proof for 496595130362951342420350
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 |
If fred is not quiet then mary is brave or creative. If fred is either patient or not brave then someone is both not tall and tall. If john is both not creative and happy then someone is either not creative or not strong and vice versa. If alice is not funny or not strong then fred is both kind and not rich. Everyone w... | Alice is not creative. | contradiction | ((~quiet(fred))=>((brave(mary)|creative(mary))))&
(((patient(fred)<~>~brave(fred)))=>(?[X]:((~tall(X)&tall(X)))))&
(((~creative(john)&happy(john)))<=>(?[X]:((~creative(X)<~>~strong(X)))))&
(((~funny(alice)|~strong(alice)))=>((kind(fred)&~rich(fred))))&
(![X]:((~tall(X)<~>~kind(X))<=>creative(X)))&
((?[X]:((~brave(X)<~>... | ~creative(alice) | [
"p3",
"p6",
"p8",
"p12",
"p13",
"p14",
"p17",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2212194555461538714990505
% SZS output start Proof for 2212194555461538714990505
4. (~strong(alice) | ~funny(alice)) => (~rich(fred) & kind(fred)) [input p3]
7. ! [X0] : ((~rich(X0) | ~humble(X0)) => rich(X0)) [input p6]
9. ! [X0] : ((~brave(X0) <~> ~calm(X0)) <=> (~generous(X0) <~> wise(... | 0 |
Everyone who is kind is both not quiet and kind and vice versa.
Everyone who is calm or humble is not brave and vice versa.
Everyone who is both calm and not quiet is not brave.
If someone is not old or curious then mary is both calm and humble.
Everyone who is either patient or not old is both happy and curious and vi... | Mary is kind. | neutral | (![X]:(kind(X)<=>(~quiet(X)&kind(X))))&
(![X]:((calm(X)|humble(X))<=>~brave(X)))&
(![X]:((calm(X)&~quiet(X))=>~brave(X)))&
((?[X]:((~old(X)|curious(X))))=>((calm(mary)&humble(mary))))&
(![X]:((patient(X)<~>~old(X))<=>(happy(X)&curious(X))))&
(![X]:((~curious(X)&~happy(X))<=>~happy(X)))&
(![X]:((quiet(X)<~>~kind(X))<=>~... | kind(mary) | [] | null | 0 |
Everyone who is not rich or kind is patient.
Everyone who is either quiet or not generous is rich and vice versa.
If mary is either not calm or generous then someone is humble or not humble and vice versa.
Everyone who is tall is both happy and not curious and vice versa.
Everyone who is generous or not strong is brave... | Fred is not patient. | contradiction | (![X]:((~rich(X)|kind(X))=>patient(X)))&
(![X]:((quiet(X)<~>~generous(X))<=>rich(X)))&
(((~calm(mary)<~>generous(mary)))<=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:(tall(X)<=>(happy(X)&~curious(X))))&
(![X]:((generous(X)|~strong(X))=>brave(X)))&
(![X]:(~quiet(X)<=>kind(X)))&
(![X]:((happy(X)&~humble(X))<=>(old(X)|~funny... | ~patient(fred) | [
"p0",
"p1",
"p5",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 693721327371663237389198
% SZS output start Proof for 693721327371663237389198
1. ! [X0] : ((kind(X0) | ~rich(X0)) => patient(X0)) [input p0]
2. ! [X0] : ((quiet(X0) <~> ~generous(X0)) <=> rich(X0)) [input p1]
6. ! [X0] : (~quiet(X0) <=> kind(X0)) [input p5]
15. (~quiet(fred) & patient(fr... | 0 |
If fred is not generous then someone is either tall or not calm and vice versa. If fred is both kind and strong then mary is tall. If fred is either funny or not creative then someone is brave. Everyone who is kind is either generous or kind. Everyone who is both patient and not curious is both strong and calm. Everyon... | Susan is calm. | neutral | ((~generous(fred))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(((kind(fred)&strong(fred)))=>(tall(mary)))&
(((funny(fred)<~>~creative(fred)))=>(?[X]:(brave(X))))&
(![X]:(kind(X)=>(generous(X)<~>kind(X))))&
(![X]:((patient(X)&~curious(X))=>(strong(X)&calm(X))))&
(![X]:((patient(X)|~brave(X))=>(rich(X)|~tall(X))))&
((?[X]:((~stro... | calm(susan) | [] | null | 0 |
Everyone who is both quiet and not funny is either old or not old and vice versa. If someone is either not old or not calm then someone is either not funny or not humble. If someone is either not curious or tall then alice is either not strong or curious. If someone is both not humble and tall then someone is both happ... | Lucy is not patient. | neutral | (![X]:((quiet(X)&~funny(X))<=>(old(X)<~>~old(X))))&
((?[X]:((~old(X)<~>~calm(X))))=>(?[X]:((~funny(X)<~>~humble(X)))))&
((?[X]:((~curious(X)<~>tall(X))))=>((~strong(alice)<~>curious(alice))))&
((?[X]:((~humble(X)&tall(X))))<=>(?[X]:((happy(X)&tall(X)))))&
(![X]:(~humble(X)=>(quiet(X)&~curious(X))))&
((?[X]:((~humble(X)... | ~patient(lucy) | [] | null | 0 |
Everyone who is rich is rich or not humble and vice versa. Everyone who is humble is old or not rich. If someone is either strong or not strong then susan is creative or not generous and vice versa. Everyone who is either quiet or not generous is not kind. Everyone who is both not generous and wise is not calm or not p... | Mary is old. | neutral | (![X]:(rich(X)<=>(rich(X)|~humble(X))))&
(![X]:(humble(X)=>(old(X)|~rich(X))))&
((?[X]:((strong(X)<~>~strong(X))))<=>((creative(susan)|~generous(susan))))&
(![X]:((quiet(X)<~>~generous(X))=>~kind(X)))&
(![X]:((~generous(X)&wise(X))<=>(~calm(X)|~patient(X))))&
(![X]:((strong(X)|~creative(X))=>(strong(X)|~curious(X))))&
... | old(mary) | [] | null | 0 |
Everyone who is brave is not calm or rich and vice versa.
Everyone who is not creative or not brave is wise or funny and vice versa.
If fred is not quiet then paul is rich and vice versa.
Everyone who is patient or not funny is curious.
Everyone who is both not tall and not creative is both brave and happy.
Everyone wh... | Lucy is not happy. | neutral | (![X]:(brave(X)<=>(~calm(X)|rich(X))))&
(![X]:((~creative(X)|~brave(X))<=>(wise(X)|funny(X))))&
((~quiet(fred))<=>(rich(paul)))&
(![X]:((patient(X)|~funny(X))=>curious(X)))&
(![X]:((~tall(X)&~creative(X))=>(brave(X)&happy(X))))&
(![X]:((humble(X)&kind(X))<=>~happy(X)))&
(![X]:(brave(X)<=>(rich(X)|~wise(X))))&
(![X]:(cr... | ~happy(lucy) | [] | null | 0 |
Everyone who is not strong is not wise. Everyone who is both strong and not creative is not humble. Everyone who is both curious and not funny is curious. Everyone who is either not patient or wise is both not rich and humble. If someone is not rich then someone is both curious and old. Everyone who is both not old and... | Mary is not curious. | entailment | (![X]:(~strong(X)=>~wise(X)))&
(![X]:((strong(X)&~creative(X))=>~humble(X)))&
(![X]:((curious(X)&~funny(X))=>curious(X)))&
(![X]:((~patient(X)<~>wise(X))=>(~rich(X)&humble(X))))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~old(X)&funny(X))=>(~strong(X)|patient(X))))&
(((curious(lucy)|~creative(lucy)))<=... | ~curious(mary) | [
"p0",
"p3",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4440317749373806524568865
% SZS output start Proof for 4440317749373806524568865
1. ! [X0] : (~strong(X0) => ~wise(X0)) [input p0]
4. ! [X0] : ((~patient(X0) <~> wise(X0)) => (humble(X0) & ~rich(X0))) [input p3]
11. ! [X0] : ((~calm(X0) | humble(X0)) => (~curious(X0) <~> ~strong(X0))) [in... | 0 |
If alice is not wise then someone is not wise or not tall.
Everyone who is curious or strong is both not quiet and not curious.
If john is kind or not happy then someone is not patient.
If mary is both not strong and tall then paul is not brave and vice versa.
Everyone who is patient is curious or not old and vice vers... | Susan is not patient. | neutral | ((~wise(alice))=>(?[X]:((~wise(X)|~tall(X)))))&
(![X]:((curious(X)|strong(X))=>(~quiet(X)&~curious(X))))&
(((kind(john)|~happy(john)))=>(?[X]:(~patient(X))))&
(((~strong(mary)&tall(mary)))<=>(~brave(paul)))&
(![X]:(patient(X)<=>(curious(X)|~old(X))))&
(![X]:(~creative(X)<=>(~rich(X)&wise(X))))&
(![X]:(~wise(X)=>(~rich(... | ~patient(susan) | [] | null | 0 |
If someone is not brave then someone is both strong and not curious and vice versa. If paul is funny then lucy is both strong and quiet. Everyone who is not strong is happy or not curious and vice versa. Everyone who is funny is wise or not rich and vice versa. If someone is either not happy or not rich then paul is bo... | Mary is quiet. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:((strong(X)&~curious(X)))))&
((funny(paul))=>((strong(lucy)&quiet(lucy))))&
(![X]:(~strong(X)<=>(happy(X)|~curious(X))))&
(![X]:(funny(X)<=>(wise(X)|~rich(X))))&
((?[X]:((~happy(X)<~>~rich(X))))=>((~rich(paul)&strong(paul))))&
(![X]:((~creative(X)|~old(X))=>(~tall(X)<~>~patient(X))))&
(![X]:... | quiet(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7058946304735707355593510
% SZS output start Proof for 7058946304735707355593510
13. ! [X0] : (~quiet(X0) => quiet(X0)) [input p12]
24. ~quiet(mary) [input hypothesis]
39. ! [X0] : (quiet(X0) | quiet(X0)) [ennf transformation 13]
110. quiet(X0) | quiet(X0) [cnf transformation 39]
131. ~qu... | 0 |
If someone is both not generous and humble then john is both not wise and not old.
If lucy is old then someone is either curious or not quiet.
Everyone who is not generous is either strong or generous.
If lucy is not brave then someone is not humble and vice versa.
Everyone who is either brave or not calm is not kind o... | John is old. | neutral | ((?[X]:((~generous(X)&humble(X))))=>((~wise(john)&~old(john))))&
((old(lucy))=>(?[X]:((curious(X)<~>~quiet(X)))))&
(![X]:(~generous(X)=>(strong(X)<~>generous(X))))&
((~brave(lucy))<=>(?[X]:(~humble(X))))&
(![X]:((brave(X)<~>~calm(X))<=>(~kind(X)|calm(X))))&
(![X]:((humble(X)|curious(X))<=>(humble(X)|wise(X))))&
(((quie... | old(john) | [] | null | 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... | Mary 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(mary) | [
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3460650473948975949204311
% SZS output start Proof for 3460650473948975949204311
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 humble or not wise is quiet. Everyone who is either not happy or not calm is either not creative or not funny and vice versa. Everyone who is not wise or not happy is both curious and tall. If lucy is either patient or not patient then fred is either not curious or creative. If someone is humble then so... | Fred is not rich. | neutral | (![X]:((humble(X)|~wise(X))=>quiet(X)))&
(![X]:((~happy(X)<~>~calm(X))<=>(~creative(X)<~>~funny(X))))&
(![X]:((~wise(X)|~happy(X))=>(curious(X)&tall(X))))&
(((patient(lucy)<~>~patient(lucy)))=>((~curious(fred)<~>creative(fred))))&
((?[X]:(humble(X)))<=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~kind(X)&~creative(X))<=>(~... | ~rich(fred) | [] | null | 0 |
If someone is either generous or not patient then alice is both not tall and not wise and vice versa.
Everyone who is both not curious and kind is not quiet.
If fred is not patient or not brave then alice is both not patient and curious and vice versa.
Everyone who is either not kind or not funny is either curious or n... | Susan is generous. | neutral | ((?[X]:((generous(X)<~>~patient(X))))<=>((~tall(alice)&~wise(alice))))&
(![X]:((~curious(X)&kind(X))=>~quiet(X)))&
(((~patient(fred)|~brave(fred)))<=>((~patient(alice)&curious(alice))))&
(![X]:((~kind(X)<~>~funny(X))<=>(curious(X)<~>~wise(X))))&
((?[X]:((~calm(X)<~>~patient(X))))<=>(~tall(susan)))&
((?[X]:((~generous(X... | generous(susan) | [] | null | 0 |
Everyone who is both strong and creative is both not kind and humble and vice versa. Everyone who is not curious or strong is both not curious and wise. Everyone who is not curious is funny and vice versa. Everyone who is quiet is either funny or old and vice versa. Everyone who is either not generous or wise is both n... | Fred is kind. | entailment | (![X]:((strong(X)&creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~curious(X)|strong(X))=>(~curious(X)&wise(X))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:(quiet(X)<=>(funny(X)<~>old(X))))&
(![X]:((~generous(X)<~>wise(X))=>(~patient(X)&brave(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((~happy(X)&curious(X)))))&
(((s... | kind(fred) | [
"p3",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6538467821899926093528865
% SZS output start Proof for 6538467821899926093528865
4. ! [X0] : (quiet(X0) <=> (funny(X0) <~> old(X0))) [input p3]
10. ! [X0] : ((kind(X0) & ~brave(X0)) <=> (kind(X0) <~> quiet(X0))) [input p9]
13. ! [X0] : (funny(X0) <=> (~funny(X0) & ~old(X0))) [input p12]
2... | 0 |
If fred is not quiet or humble then susan is patient or happy. If someone is not kind or kind then someone is both not calm and not happy and vice versa. If someone is both tall and quiet then someone is either patient or strong and vice versa. Everyone who is rich is not tall or not wise. Everyone who is either not cr... | Susan is not rich. | neutral | (((~quiet(fred)|humble(fred)))=>((patient(susan)|happy(susan))))&
((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((~calm(X)&~happy(X)))))&
((?[X]:((tall(X)&quiet(X))))<=>(?[X]:((patient(X)<~>strong(X)))))&
(![X]:(rich(X)=>(~tall(X)|~wise(X))))&
(![X]:((~creative(X)<~>patient(X))=>(patient(X)&~generous(X))))&
((?[X]:((~creative(X... | ~rich(susan) | [] | null | 0 |
Everyone who is either not curious or rich is both brave and not happy and vice versa. Everyone who is funny or curious is not humble. Everyone who is calm or not generous is both not strong and humble and vice versa. If someone is both not kind and not happy then mary is funny or happy and vice versa. Everyone who is ... | Alice is not happy. | neutral | (![X]:((~curious(X)<~>rich(X))<=>(brave(X)&~happy(X))))&
(![X]:((funny(X)|curious(X))=>~humble(X)))&
(![X]:((calm(X)|~generous(X))<=>(~strong(X)&humble(X))))&
((?[X]:((~kind(X)&~happy(X))))<=>((funny(mary)|happy(mary))))&
(![X]:((tall(X)&humble(X))=>patient(X)))&
(![X]:((~strong(X)&~creative(X))=>(calm(X)&tall(X))))&
(... | ~happy(alice) | [] | null | 0 |
If someone is not wise or kind then someone is not humble.
If someone is both not happy and not funny then someone is both wise and not kind and vice versa.
If mary is not happy then alice is either not tall or humble.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then... | John is wise. | contradiction | ((?[X]:((~wise(X)|kind(X))))=>(?[X]:(~humble(X))))&
((?[X]:((~happy(X)&~funny(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
((~happy(mary))=>((~tall(alice)<~>humble(alice))))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(qu... | wise(john) | [
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 312468117227607972167069
% SZS output start Proof for 312468117227607972167069
9. ? [X0] : (~generous(X0) | quiet(X0)) <=> ? [X0] : (~tall(X0) & ~old(X0)) [input p8]
14. ! [X0] : ((wise(X0) | patient(X0)) <=> quiet(X0)) [input p13]
15. ! [X0] : ((generous(X0) & tall(X0)) <=> (~creative(X0... | 0 |
If alice is calm or wise then someone is both curious and not kind and vice versa.
Everyone who is not calm is not quiet.
Everyone who is either not curious or not tall is either not creative or curious and vice versa.
If someone is either patient or curious then paul is not strong or not wise.
Everyone who is either n... | Mary is not curious. | entailment | (((calm(alice)|wise(alice)))<=>(?[X]:((curious(X)&~kind(X)))))&
(![X]:(~calm(X)=>~quiet(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~creative(X)<~>curious(X))))&
((?[X]:((patient(X)<~>curious(X))))=>((~strong(paul)|~wise(paul))))&
(![X]:((~curious(X)<~>brave(X))=>tall(X)))&
(![X]:((~rich(X)&quiet(X))=>(~brave(X)|wise(X)))... | ~curious(mary) | [
"p2",
"p10",
"p12",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 857591153606040142820222
% SZS output start Proof for 857591153606040142820222
3. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (~creative(X0) <~> curious(X0))) [input p2]
11. ! [X0] : (~quiet(X0) <=> (~wise(X0) | curious(X0))) [input p10]
13. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (~creat... | 0 |
Everyone who is not humble or not funny is happy and vice versa. If someone is not humble then someone is both not generous and not calm and vice versa. Everyone who is not generous or not tall is tall and vice versa. Everyone who is either happy or not humble is both not tall and not curious. If susan is not patient t... | Alice is not strong. | contradiction | (![X]:((~humble(X)|~funny(X))<=>happy(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((~generous(X)&~calm(X)))))&
(![X]:((~generous(X)|~tall(X))<=>tall(X)))&
(![X]:((happy(X)<~>~humble(X))=>(~tall(X)&~curious(X))))&
((~patient(susan))=>((rich(alice)<~>~tall(alice))))&
(((old(alice)&~calm(alice)))<=>(?[X]:((strong(X)<~>funny(X)))))... | ~strong(alice) | [
"p0",
"p2",
"p3",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1556439396056134382267891
% SZS output start Proof for 1556439396056134382267891
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> tall(X0)) [input p2]
4. ! [X0] : ((happy(X0) <~> ~humble(X0)) => (~curious(X0) & ~tall(X0))) [inp... | 0 |
If someone is both brave and not generous then john is either not creative or generous and vice versa.
Everyone who is patient is both not humble and not creative.
Everyone who is quiet or tall is calm.
Everyone who is old or creative is calm or funny.
If fred is rich or not happy then susan is both not calm and funny.... | Fred is not kind. | contradiction | ((?[X]:((brave(X)&~generous(X))))<=>((~creative(john)<~>generous(john))))&
(![X]:(patient(X)=>(~humble(X)&~creative(X))))&
(![X]:((quiet(X)|tall(X))=>calm(X)))&
(![X]:((old(X)|creative(X))=>(calm(X)|funny(X))))&
(((rich(fred)|~happy(fred)))=>((~calm(susan)&funny(susan))))&
(![X]:((rich(X)&~strong(X))=>(old(X)&~curious(... | ~kind(fred) | [
"p1",
"p3",
"p4",
"p8",
"p9",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7035075265512903843926354
% SZS output start Proof for 7035075265512903843926354
2. ! [X0] : (patient(X0) => (~creative(X0) & ~humble(X0))) [input p1]
4. ! [X0] : ((creative(X0) | old(X0)) => (funny(X0) | calm(X0))) [input p3]
5. (~happy(fred) | rich(fred)) => (funny(susan) & ~calm(susan)... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is not calm.
If alice is both kind and not brave then alice is both old and not strong and vice versa.
If someone is patient then john is rich.
If mary is funny then someone is not wise or not... | Paul is curious. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:(~calm(X))))&
(((kind(alice)&~brave(alice)))<=>((old(alice)&~strong(alice))))&
((?[X]:(patient(X)))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X... | curious(paul) | [
"p7",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3342937417163126743447257
% SZS output start Proof for 3342937417163126743447257
8. ! [X0] : (brave(X0) <=> patient(X0)) [input p7]
9. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p8]
10. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p9]
15. ! [X0... | 0 |
Everyone who is either wise or not funny is either rich or patient and vice versa.
If john is not humble or happy then paul is both not kind and not generous and vice versa.
Everyone who is strong is not rich or not patient and vice versa.
If someone is old then paul is either not wise or curious.
Everyone who is gener... | Paul is not old. | entailment | (![X]:((wise(X)<~>~funny(X))<=>(rich(X)<~>patient(X))))&
(((~humble(john)|happy(john)))<=>((~kind(paul)&~generous(paul))))&
(![X]:(strong(X)<=>(~rich(X)|~patient(X))))&
((?[X]:(old(X)))=>((~wise(paul)<~>curious(paul))))&
(![X]:(generous(X)=>(calm(X)<~>tall(X))))&
((?[X]:(humble(X)))<=>((happy(alice)<~>~quiet(alice))))&... | ~old(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5577044644864267791847674
% SZS output start Proof for 5577044644864267791847674
18. ~old(paul) & ~quiet(paul) [input p17]
25. old(paul) [input hypothesis]
136. ~old(paul) [cnf transformation 18]
146. old(paul) [cnf transformation 25]
311. $false [subsumption resolution 146,136]
% SZS out... | 0 |
Everyone who is either old or happy is either old or wise and vice versa. Everyone who is not old is not generous and vice versa. Everyone who is patient is both patient and wise. If someone is either not patient or not creative then fred is either creative or not creative and vice versa. If someone is calm then fred i... | Susan is not curious. | neutral | (![X]:((old(X)<~>happy(X))<=>(old(X)<~>wise(X))))&
(![X]:(~old(X)<=>~generous(X)))&
(![X]:(patient(X)=>(patient(X)&wise(X))))&
((?[X]:((~patient(X)<~>~creative(X))))<=>((creative(fred)<~>~creative(fred))))&
((?[X]:(calm(X)))<=>((~funny(fred)<~>funny(fred))))&
(![X]:((~humble(X)|tall(X))<=>(quiet(X)|tall(X))))&
(((curio... | ~curious(susan) | [] | null | 0 |
Everyone who is not old is creative or not patient and vice versa.
Everyone who is not old is both generous and not brave and vice versa.
Everyone who is old or not funny is either old or calm.
Everyone who is either rich or not tall is either patient or not brave and vice versa.
Everyone who is both funny and rich is ... | John is patient. | entailment | (![X]:(~old(X)<=>(creative(X)|~patient(X))))&
(![X]:(~old(X)<=>(generous(X)&~brave(X))))&
(![X]:((old(X)|~funny(X))=>(old(X)<~>calm(X))))&
(![X]:((rich(X)<~>~tall(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((funny(X)&rich(X))<=>(~calm(X)&~generous(X))))&
(![X]:((~calm(X)&curious(X))<=>(~calm(X)<~>calm(X))))&
(((~old(fred)... | patient(john) | [
"p0",
"p2",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4909461610446697274941368
% SZS output start Proof for 4909461610446697274941368
1. ! [X0] : (~old(X0) <=> (~patient(X0) | creative(X0))) [input p0]
3. ! [X0] : ((~funny(X0) | old(X0)) => (old(X0) <~> calm(X0))) [input p2]
6. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~calm(X0) <~> calm(X0)... | 0 |
Everyone who is either not brave or not old is funny or not happy.
If mary is either not kind or not old then someone is either not rich or not old.
If someone is kind or creative then mary is either strong or not funny and vice versa.
Everyone who is patient or humble is strong or not strong and vice versa.
Everyone w... | John is not kind. | neutral | (![X]:((~brave(X)<~>~old(X))=>(funny(X)|~happy(X))))&
(((~kind(mary)<~>~old(mary)))=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:((kind(X)|creative(X))))<=>((strong(mary)<~>~funny(mary))))&
(![X]:((patient(X)|humble(X))<=>(strong(X)|~strong(X))))&
(![X]:((~generous(X)&wise(X))<=>(humble(X)<~>patient(X))))&
(![X]:(patient(X)... | ~kind(john) | [] | null | 0 |
Everyone who is either not humble or not rich is either not humble or not kind and vice versa.
If lucy is both not patient and not tall then lucy is both not creative and brave and vice versa.
If someone is both not humble and not tall then someone is not creative or not quiet.
Everyone who is wise is calm or curious a... | Mary is not quiet. | neutral | (![X]:((~humble(X)<~>~rich(X))<=>(~humble(X)<~>~kind(X))))&
(((~patient(lucy)&~tall(lucy)))<=>((~creative(lucy)&brave(lucy))))&
((?[X]:((~humble(X)&~tall(X))))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:(wise(X)<=>(calm(X)|curious(X))))&
((?[X]:((happy(X)&~kind(X))))<=>((kind(alice)<~>~generous(alice))))&
(![X]:((~curi... | ~quiet(mary) | [] | null | 0 |
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