premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either humble or not calm is generous and vice versa. If lucy is either funny or not kind then someone is either not old or not creative and vice versa. If someone is not creative or not generous then fred is either old or not tall and vice versa. If someone is either strong or generous then mary is gen... | Fred is not wise. | contradiction | (![X]:((humble(X)<~>~calm(X))<=>generous(X)))&
(((funny(lucy)<~>~kind(lucy)))<=>(?[X]:((~old(X)<~>~creative(X)))))&
((?[X]:((~creative(X)|~generous(X))))<=>((old(fred)<~>~tall(fred))))&
((?[X]:((strong(X)<~>generous(X))))<=>((generous(mary)|strong(mary))))&
(![X]:(funny(X)=>~old(X)))&
((?[X]:((creative(X)|quiet(X))))=>... | ~wise(fred) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3214691763590860062629475
% SZS output start Proof for 3214691763590860062629475
7. ! [X0] : ((funny(X0) <~> ~quiet(X0)) => (wise(X0) & funny(X0))) [input p6]
22. ~quiet(fred) <~> funny(fred) [input p21]
25. ~wise(fred) [input hypothesis]
33. ! [X0] : ((wise(X0) & funny(X0)) | (funny(X0) ... | 0 |
Everyone who is either old or not curious is not funny.
If alice is not quiet or not happy then someone is not funny.
Everyone who is both not tall and not kind is generous and vice versa.
If someone is calm or not patient then lucy is both rich and strong.
Everyone who is not patient is humble.
If someone is both kind... | Mary is not calm. | entailment | (![X]:((old(X)<~>~curious(X))=>~funny(X)))&
(((~quiet(alice)|~happy(alice)))=>(?[X]:(~funny(X))))&
(![X]:((~tall(X)&~kind(X))<=>generous(X)))&
((?[X]:((calm(X)|~patient(X))))=>((rich(lucy)&strong(lucy))))&
(![X]:(~patient(X)=>humble(X)))&
((?[X]:((kind(X)&funny(X))))<=>(?[X]:(creative(X))))&
(((~creative(mary)<~>~funny... | ~calm(mary) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6225736633301534208795891
% SZS output start Proof for 6225736633301534208795891
4. ? [X0] : (~patient(X0) | calm(X0)) => (strong(lucy) & rich(lucy)) [input p3]
21. ~strong(lucy) [input p20]
24. calm(mary) [input hypothesis]
28. (strong(lucy) & rich(lucy)) | ! [X0] : (patient(X0) & ~calm(... | 0 |
Everyone who is both old and not brave is either brave or strong and vice versa. Everyone who is tall is either tall or not funny. If someone is not generous or generous then someone is either not happy or not rich and vice versa. If fred is both not wise and strong then someone is both not curious and not kind. Everyo... | Susan is not calm. | neutral | (![X]:((old(X)&~brave(X))<=>(brave(X)<~>strong(X))))&
(![X]:(tall(X)=>(tall(X)<~>~funny(X))))&
((?[X]:((~generous(X)|generous(X))))<=>(?[X]:((~happy(X)<~>~rich(X)))))&
(((~wise(fred)&strong(fred)))=>(?[X]:((~curious(X)&~kind(X)))))&
(![X]:(calm(X)<=>(funny(X)|~humble(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(![X]:((old(... | ~calm(susan) | [] | null | 0 |
If lucy is not wise then someone is not quiet and vice versa.
Everyone who is not generous or wise is either curious or happy.
Everyone who is not rich or not funny is wise.
Everyone who is both not curious and patient is not calm and vice versa.
If paul is either not humble or old then someone is either tall or not hu... | Fred is not curious. | neutral | ((~wise(lucy))<=>(?[X]:(~quiet(X))))&
(![X]:((~generous(X)|wise(X))=>(curious(X)<~>happy(X))))&
(![X]:((~rich(X)|~funny(X))=>wise(X)))&
(![X]:((~curious(X)&patient(X))<=>~calm(X)))&
(((~humble(paul)<~>old(paul)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(((~quiet(alice)<~>~creative(alice)))<=>((~funny(lucy)&~calm(lucy))))&
... | ~curious(fred) | [] | null | 0 |
Everyone who is either quiet or old is rich and vice versa. Everyone who is both calm and not brave is not generous or not old. If someone is not humble or happy then someone is either happy or not patient. If john is both not old and tall then paul is old and vice versa. Everyone who is both not old and not generous i... | Mary is not generous. | entailment | (![X]:((quiet(X)<~>old(X))<=>rich(X)))&
(![X]:((calm(X)&~brave(X))=>(~generous(X)|~old(X))))&
((?[X]:((~humble(X)|happy(X))))=>(?[X]:((happy(X)<~>~patient(X)))))&
(((~old(john)&tall(john)))<=>(old(paul)))&
(![X]:((~old(X)&~generous(X))<=>(~calm(X)|calm(X))))&
(![X]:((creative(X)<~>~old(X))<=>(~humble(X)|strong(X))))&
(... | ~generous(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6010488016663428794182328
% SZS output start Proof for 6010488016663428794182328
5. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (calm(X0) | ~calm(X0))) [input p4]
23. generous(mary) [input hypothesis]
40. ! [X0] : (((~generous(X0) & ~old(X0)) | (~calm(X0) & calm(X0))) & ((calm(X0) | ~calm(X0... | 0 |
If someone is both not rich and tall then someone is funny or creative and vice versa.
If someone is creative then someone is either happy or kind and vice versa.
If susan is either strong or not humble then mary is not funny or not generous.
Everyone who is both generous and not funny is both creative and not happy.
E... | Fred is not old. | contradiction | ((?[X]:((~rich(X)&tall(X))))<=>(?[X]:((funny(X)|creative(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((happy(X)<~>kind(X)))))&
(((strong(susan)<~>~humble(susan)))=>((~funny(mary)|~generous(mary))))&
(![X]:((generous(X)&~funny(X))=>(creative(X)&~happy(X))))&
(![X]:((funny(X)|rich(X))=>(~old(X)<~>generous(X))))&
(![X]:((happy(... | ~old(fred) | [
"p0",
"p3",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2165692150327628853566197
% SZS output start Proof for 2165692150327628853566197
1. ? [X0] : (tall(X0) & ~rich(X0)) <=> ? [X0] : (creative(X0) | funny(X0)) [input p0]
4. ! [X0] : ((~funny(X0) & generous(X0)) => (~happy(X0) & creative(X0))) [input p3]
13. ! [X0] : (creative(X0) <=> (curiou... | 0 |
Everyone who is either not curious or patient is not happy and vice versa.
Everyone who is both not strong and not old is both curious and strong.
Everyone who is both generous and rich is both not strong and rich.
Everyone who is both not kind and not generous is not patient and vice versa.
Everyone who is wise or not... | Mary is not calm. | neutral | (![X]:((~curious(X)<~>patient(X))<=>~happy(X)))&
(![X]:((~strong(X)&~old(X))=>(curious(X)&strong(X))))&
(![X]:((generous(X)&rich(X))=>(~strong(X)&rich(X))))&
(![X]:((~kind(X)&~generous(X))<=>~patient(X)))&
(![X]:((wise(X)|~quiet(X))<=>(patient(X)|wise(X))))&
(![X]:((brave(X)|happy(X))<=>(~generous(X)&happy(X))))&
(((hu... | ~calm(mary) | [] | null | 0 |
If someone is either humble or not kind then someone is creative or not brave and vice versa. Everyone who is either generous or not old is brave or not patient and vice versa. If someone is brave or tall then someone is not old and vice versa. If someone is both not tall and not funny then someone is either not wise o... | Susan is old. | entailment | ((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((creative(X)|~brave(X)))))&
(![X]:((generous(X)<~>~old(X))<=>(brave(X)|~patient(X))))&
((?[X]:((brave(X)|tall(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~tall(X)&~funny(X))))<=>(?[X]:((~wise(X)<~>creative(X)))))&
(![X]:((humble(X)&tall(X))<=>(creative(X)<~>funny(X))))&
(((tall(fred)|~... | old(susan) | [
"p4",
"p10",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5869058912154277866613839
% SZS output start Proof for 5869058912154277866613839
5. ! [X0] : ((tall(X0) & humble(X0)) <=> (creative(X0) <~> funny(X0))) [input p4]
11. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (creative(X0) <~> humble(X0))) [input p10]
15. ? [X0] : (quiet(X0) & ~wise(X0... | 0 |
Everyone who is both strong and not creative is rich and vice versa.
Everyone who is generous is patient or humble and vice versa.
Everyone who is not strong or not humble is creative or kind and vice versa.
Everyone who is creative or not funny is not humble or old and vice versa.
Everyone who is both curious and not ... | Susan is not brave. | entailment | (![X]:((strong(X)&~creative(X))<=>rich(X)))&
(![X]:(generous(X)<=>(patient(X)|humble(X))))&
(![X]:((~strong(X)|~humble(X))<=>(creative(X)|kind(X))))&
(![X]:((creative(X)|~funny(X))<=>(~humble(X)|old(X))))&
(![X]:((curious(X)&~humble(X))<=>(~quiet(X)<~>~strong(X))))&
(((~calm(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|funny... | ~brave(susan) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7305906874777567252749029
% SZS output start Proof for 7305906874777567252749029
15. ! [X0] : ((~brave(X0) & wise(X0)) <=> (~rich(X0) | old(X0))) [input p14]
20. ~rich(susan) & generous(susan) [input p19]
25. brave(susan) [input hypothesis]
61. ! [X0] : (((~brave(X0) & wise(X0)) | (rich(X... | 0 |
If someone is not wise then someone is not tall. Everyone who is quiet or patient is either not kind or not patient. Everyone who is either not wise or not generous is not rich or calm. Everyone who is both funny and kind is either wise or not rich and vice versa. If someone is both not curious and patient then fred is... | Fred is humble. | neutral | ((?[X]:(~wise(X)))=>(?[X]:(~tall(X))))&
(![X]:((quiet(X)|patient(X))=>(~kind(X)<~>~patient(X))))&
(![X]:((~wise(X)<~>~generous(X))=>(~rich(X)|calm(X))))&
(![X]:((funny(X)&kind(X))<=>(wise(X)<~>~rich(X))))&
((?[X]:((~curious(X)&patient(X))))=>(creative(fred)))&
(![X]:(brave(X)=>(humble(X)<~>~patient(X))))&
(![X]:((old(X... | humble(fred) | [] | null | 0 |
If someone is both brave and happy then susan is curious or calm.
Everyone who is generous is both not brave and not creative.
If someone is both not generous and not wise then fred is both rich and creative.
Everyone who is either not curious or wise is not quiet and vice versa.
Everyone who is both kind and not kind ... | Mary is not brave. | entailment | ((?[X]:((brave(X)&happy(X))))=>((curious(susan)|calm(susan))))&
(![X]:(generous(X)=>(~brave(X)&~creative(X))))&
((?[X]:((~generous(X)&~wise(X))))=>((rich(fred)&creative(fred))))&
(![X]:((~curious(X)<~>wise(X))<=>~quiet(X)))&
(![X]:((kind(X)&~kind(X))<=>(~patient(X)|old(X))))&
(((~funny(lucy)<~>~humble(lucy)))<=>(?[X]:(... | ~brave(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3493309431005237535533827
% SZS output start Proof for 3493309431005237535533827
7. ! [X0] : ((strong(X0) | brave(X0)) <=> ~brave(X0)) [input p6]
23. brave(mary) [input hypothesis]
44. ! [X0] : (((strong(X0) | brave(X0)) | brave(X0)) & (~brave(X0) | (~strong(X0) & ~brave(X0)))) [nnf trans... | 0 |
If susan is not old then someone is either brave or generous and vice versa.
Everyone who is not humble or brave is not generous.
If someone is both patient and creative then someone is either not funny or patient and vice versa.
Everyone who is both not humble and not brave is rich or wise and vice versa.
Everyone who... | Mary is strong. | entailment | ((~old(susan))<=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:((~humble(X)|brave(X))=>~generous(X)))&
((?[X]:((patient(X)&creative(X))))<=>(?[X]:((~funny(X)<~>patient(X)))))&
(![X]:((~humble(X)&~brave(X))<=>(rich(X)|wise(X))))&
(![X]:(~kind(X)=>(~generous(X)<~>wise(X))))&
(![X]:(patient(X)=>(~wise(X)<~>strong(X))))&
(![X]... | strong(mary) | [
"p1",
"p2",
"p6",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8600061158241168541328400
% SZS output start Proof for 8600061158241168541328400
2. ! [X0] : ((brave(X0) | ~humble(X0)) => ~generous(X0)) [input p1]
3. ? [X0] : (creative(X0) & patient(X0)) <=> ? [X0] : (~funny(X0) <~> patient(X0)) [input p2]
7. ! [X0] : ((patient(X0) | rich(X0)) <=> (~pa... | 0 |
If paul is either not tall or not funny then someone is either not tall or funny and vice versa.
Everyone who is not kind is humble or not generous.
If someone is not wise or not old then someone is not kind.
If someone is curious or not quiet then someone is creative or happy.
Everyone who is not wise or not brave is ... | Lucy is not wise. | entailment | (((~tall(paul)<~>~funny(paul)))<=>(?[X]:((~tall(X)<~>funny(X)))))&
(![X]:(~kind(X)=>(humble(X)|~generous(X))))&
((?[X]:((~wise(X)|~old(X))))=>(?[X]:(~kind(X))))&
((?[X]:((curious(X)|~quiet(X))))=>(?[X]:((creative(X)|happy(X)))))&
(![X]:((~wise(X)|~brave(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~kind(X)<~>strong(X))<=>(q... | ~wise(lucy) | [
"p4",
"p6",
"p10",
"p12",
"p16",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 948203885115822173108695
% SZS output start Proof for 948203885115822173108695
5. ! [X0] : ((~brave(X0) | ~wise(X0)) => (funny(X0) <~> ~humble(X0))) [input p4]
7. ! [X0] : ((~patient(X0) | rich(X0)) => ~humble(X0)) [input p6]
11. ! [X0] : ((~creative(X0) & ~kind(X0)) <=> (~funny(X0) | ~qu... | 0 |
Everyone who is both wise and not creative is humble or generous and vice versa.
If someone is both not humble and not curious then paul is both not quiet and not brave.
Everyone who is either not wise or not old is strong and vice versa.
Everyone who is not curious or not old is wise and vice versa.
Everyone who is qu... | Mary is not old. | neutral | (![X]:((wise(X)&~creative(X))<=>(humble(X)|generous(X))))&
((?[X]:((~humble(X)&~curious(X))))=>((~quiet(paul)&~brave(paul))))&
(![X]:((~wise(X)<~>~old(X))<=>strong(X)))&
(![X]:((~curious(X)|~old(X))<=>wise(X)))&
(![X]:(quiet(X)<=>(strong(X)|~humble(X))))&
(((~brave(susan)<~>~tall(susan)))=>(~creative(mary)))&
((?[X]:((... | ~old(mary) | [] | null | 0 |
Everyone who is both not rich and patient is either not strong or quiet and vice versa.
If john is strong or wise then someone is old or not patient and vice versa.
If mary is not wise then mary is not humble and vice versa.
Everyone who is not wise is either not tall or not humble.
Everyone who is both not old and not... | John is strong. | entailment | (![X]:((~rich(X)&patient(X))<=>(~strong(X)<~>quiet(X))))&
(((strong(john)|wise(john)))<=>(?[X]:((old(X)|~patient(X)))))&
((~wise(mary))<=>(~humble(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~humble(X))))&
(![X]:((~old(X)&~brave(X))<=>(creative(X)|~tall(X))))&
(![X]:((strong(X)|creative(X))=>(~quiet(X)&funny(X))))&
(![X]:((~... | strong(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2912418990290686870188298
% SZS output start Proof for 2912418990290686870188298
11. ? [X0] : (~strong(X0) | rich(X0)) <=> (~funny(john) & strong(john)) [input p10]
24. ~strong(john) [input hypothesis]
50. (? [X0] : (~strong(X0) | rich(X0)) | (funny(john) | ~strong(john))) & ((~funny(john... | 0 |
If someone is either patient or brave then alice is funny or not tall.
Everyone who is either not rich or not creative is both not humble and not calm and vice versa.
Everyone who is both not tall and brave is generous or not tall and vice versa.
Everyone who is both not creative and not humble is either patient or bra... | Susan is quiet. | neutral | ((?[X]:((patient(X)<~>brave(X))))=>((funny(alice)|~tall(alice))))&
(![X]:((~rich(X)<~>~creative(X))<=>(~humble(X)&~calm(X))))&
(![X]:((~tall(X)&brave(X))<=>(generous(X)|~tall(X))))&
(![X]:((~creative(X)&~humble(X))<=>(patient(X)<~>brave(X))))&
((generous(john))<=>(?[X]:((patient(X)<~>rich(X)))))&
(![X]:((~strong(X)|~ta... | quiet(susan) | [] | null | 0 |
If someone is tall then alice is both not funny and not strong and vice versa. Everyone who is not rich or calm is both not calm and not creative. If susan is not happy then someone is either patient or not creative. If alice is both not creative and not kind then paul is happy. Everyone who is not patient is both wise... | Fred is not kind. | entailment | ((?[X]:(tall(X)))<=>((~funny(alice)&~strong(alice))))&
(![X]:((~rich(X)|calm(X))=>(~calm(X)&~creative(X))))&
((~happy(susan))=>(?[X]:((patient(X)<~>~creative(X)))))&
(((~creative(alice)&~kind(alice)))=>(happy(paul)))&
(![X]:(~patient(X)=>(wise(X)&~brave(X))))&
((~quiet(mary))<=>((~quiet(john)&~kind(john))))&
(![X]:(kin... | ~kind(fred) | [
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 102909014927404495668856
% SZS output start Proof for 102909014927404495668856
5. ! [X0] : (~patient(X0) => (~brave(X0) & wise(X0))) [input p4]
7. ! [X0] : (kind(X0) <=> brave(X0)) [input p6]
16. ! [X0] : ((~humble(X0) | kind(X0)) => (~patient(X0) & ~calm(X0))) [input p15]
23. kind(fred) ... | 0 |
Everyone who is strong or not strong is either not generous or creative.
If susan is not wise or curious then someone is both kind and not calm and vice versa.
If john is both generous and not creative then mary is not brave and vice versa.
Everyone who is generous or not patient is both old and not kind and vice versa... | John is not strong. | neutral | (![X]:((strong(X)|~strong(X))=>(~generous(X)<~>creative(X))))&
(((~wise(susan)|curious(susan)))<=>(?[X]:((kind(X)&~calm(X)))))&
(((generous(john)&~creative(john)))<=>(~brave(mary)))&
(![X]:((generous(X)|~patient(X))<=>(old(X)&~kind(X))))&
(((humble(fred)<~>kind(fred)))<=>((old(susan)|humble(susan))))&
((?[X]:((~happy(X... | ~strong(john) | [] | null | 0 |
If someone is not calm or not happy then someone is both not funny and creative.
If lucy is humble then susan is happy and vice versa.
Everyone who is not rich or humble is either creative or not rich.
If someone is either strong or not calm then someone is either rich or humble and vice versa.
If alice is quiet then a... | Mary is patient. | entailment | ((?[X]:((~calm(X)|~happy(X))))=>(?[X]:((~funny(X)&creative(X)))))&
((humble(lucy))<=>(happy(susan)))&
(![X]:((~rich(X)|humble(X))=>(creative(X)<~>~rich(X))))&
((?[X]:((strong(X)<~>~calm(X))))<=>(?[X]:((rich(X)<~>humble(X)))))&
((quiet(alice))<=>((creative(alice)|quiet(alice))))&
(![X]:((~curious(X)<~>curious(X))=>(happ... | patient(mary) | [
"p5",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4225116726174760296653518
% SZS output start Proof for 4225116726174760296653518
6. ! [X0] : ((~curious(X0) <~> curious(X0)) => (wise(X0) & happy(X0))) [input p5]
12. ! [X0] : ((generous(X0) & ~brave(X0)) <=> (tall(X0) | ~patient(X0))) [input p11]
14. ! [X0] : ((wise(X0) & generous(X0)) <... | 0 |
If susan is both not happy and creative then someone is both not brave and not patient. If susan is both not rich and not funny then john is both curious and strong. Everyone who is not wise is both rich and wise and vice versa. Everyone who is generous or funny is either curious or happy. Everyone who is generous is b... | Paul is not kind. | neutral | (((~happy(susan)&creative(susan)))=>(?[X]:((~brave(X)&~patient(X)))))&
(((~rich(susan)&~funny(susan)))=>((curious(john)&strong(john))))&
(![X]:(~wise(X)<=>(rich(X)&wise(X))))&
(![X]:((generous(X)|funny(X))=>(curious(X)<~>happy(X))))&
(![X]:(generous(X)<=>(~patient(X)&funny(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((~strong(X)... | ~kind(paul) | [] | null | 0 |
If someone is both brave and not humble then alice is both not patient and quiet and vice versa. If susan is either kind or not creative then john is either funny or curious. Everyone who is tall or not wise is either funny or strong. Everyone who is curious is either old or not happy. Everyone who is both not rich and... | John is patient. | entailment | ((?[X]:((brave(X)&~humble(X))))<=>((~patient(alice)&quiet(alice))))&
(((kind(susan)<~>~creative(susan)))=>((funny(john)<~>curious(john))))&
(![X]:((tall(X)|~wise(X))=>(funny(X)<~>strong(X))))&
(![X]:(curious(X)=>(old(X)<~>~happy(X))))&
(![X]:((~rich(X)&rich(X))<=>~patient(X)))&
(![X]:((~calm(X)<~>~brave(X))=>(strong(X)... | patient(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2798966828546909174873431
% SZS output start Proof for 2798966828546909174873431
5. ! [X0] : ((rich(X0) & ~rich(X0)) <=> ~patient(X0)) [input p4]
23. ~patient(john) [input hypothesis]
48. ! [X0] : (((rich(X0) & ~rich(X0)) | patient(X0)) & (~patient(X0) | (~rich(X0) | rich(X0)))) [nnf tran... | 0 |
Everyone who is either not kind or patient is either not patient or not curious.
If someone is either not brave or kind then someone is both not generous and humble.
If someone is either not strong or not rich then mary is both generous and not happy.
Everyone who is both brave and generous is not happy and vice versa.... | Mary is creative. | entailment | (![X]:((~kind(X)<~>patient(X))=>(~patient(X)<~>~curious(X))))&
((?[X]:((~brave(X)<~>kind(X))))=>(?[X]:((~generous(X)&humble(X)))))&
((?[X]:((~strong(X)<~>~rich(X))))=>((generous(mary)&~happy(mary))))&
(![X]:((brave(X)&generous(X))<=>~happy(X)))&
(![X]:((~creative(X)<~>quiet(X))<=>(~wise(X)<~>humble(X))))&
(![X]:((~quie... | creative(mary) | [
"p0",
"p5",
"p6",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5745671477887368554757324
% SZS output start Proof for 5745671477887368554757324
1. ! [X0] : ((~kind(X0) <~> patient(X0)) => (~patient(X0) <~> ~curious(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | ~quiet(X0)) <=> (curious(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) <~> ~patie... | 0 |
Everyone who is both not brave and not quiet is either not funny or brave and vice versa. If someone is either quiet or calm then mary is both happy and humble. If lucy is humble or rich then mary is happy or not strong. If lucy is either curious or not humble then someone is not old or rich. If mary is not funny then ... | Alice is quiet. | contradiction | (![X]:((~brave(X)&~quiet(X))<=>(~funny(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>calm(X))))=>((happy(mary)&humble(mary))))&
(((humble(lucy)|rich(lucy)))=>((happy(mary)|~strong(mary))))&
(((curious(lucy)<~>~humble(lucy)))=>(?[X]:((~old(X)|rich(X)))))&
((~funny(mary))=>((~kind(paul)&~strong(paul))))&
(((rich(john)|~calm(john... | quiet(alice) | [
"p9",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5240672831739081581898337
% SZS output start Proof for 5240672831739081581898337
10. ! [X0] : (quiet(X0) <=> (~kind(X0) & ~calm(X0))) [input p9]
14. ! [X0] : ((kind(X0) | quiet(X0)) => (calm(X0) <~> humble(X0))) [input p13]
21. ~humble(alice) & ~creative(alice) [input p20]
25. quiet(alice... | 0 |
If john is either humble or tall then someone is calm.
Everyone who is creative or calm is kind and vice versa.
Everyone who is either not funny or kind is quiet.
Everyone who is either not generous or not wise is both humble and strong.
Everyone who is happy is not kind.
Everyone who is quiet or happy is both not happ... | Mary is not brave. | neutral | (((humble(john)<~>tall(john)))=>(?[X]:(calm(X))))&
(![X]:((creative(X)|calm(X))<=>kind(X)))&
(![X]:((~funny(X)<~>kind(X))=>quiet(X)))&
(![X]:((~generous(X)<~>~wise(X))=>(humble(X)&strong(X))))&
(![X]:(happy(X)=>~kind(X)))&
(![X]:((quiet(X)|happy(X))<=>(~happy(X)&happy(X))))&
((?[X]:((~tall(X)|~humble(X))))<=>(?[X]:((~c... | ~brave(mary) | [] | null | 0 |
If someone is not curious or tall then fred is both not happy and not generous and vice versa.
Everyone who is both not patient and not happy is kind or patient and vice versa.
If someone is not quiet or not kind then fred is either not rich or funny and vice versa.
If lucy is either not kind or not funny then someone ... | John is not quiet. | entailment | ((?[X]:((~curious(X)|tall(X))))<=>((~happy(fred)&~generous(fred))))&
(![X]:((~patient(X)&~happy(X))<=>(kind(X)|patient(X))))&
((?[X]:((~quiet(X)|~kind(X))))<=>((~rich(fred)<~>funny(fred))))&
(((~kind(lucy)<~>~funny(lucy)))=>(?[X]:((~wise(X)|funny(X)))))&
(![X]:((~creative(X)|~quiet(X))<=>(happy(X)|kind(X))))&
(![X]:((c... | ~quiet(john) | [
"p1",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 56694599556349344338671
% SZS output start Proof for 56694599556349344338671
2. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (patient(X0) | kind(X0))) [input p1]
9. ! [X0] : ((~kind(X0) | wise(X0)) => (humble(X0) & ~quiet(X0))) [input p8]
11. ! [X0] : (~happy(X0) <=> wise(X0)) [input p10]
22... | 0 |
Everyone who is either patient or not kind is not rich or not old.
Everyone who is not generous or happy is not generous or not happy.
Everyone who is quiet or not creative is either not quiet or funny.
Everyone who is generous is both funny and not curious and vice versa.
Everyone who is either not generous or not cre... | Mary is not creative. | entailment | (![X]:((patient(X)<~>~kind(X))=>(~rich(X)|~old(X))))&
(![X]:((~generous(X)|happy(X))=>(~generous(X)|~happy(X))))&
(![X]:((quiet(X)|~creative(X))=>(~quiet(X)<~>funny(X))))&
(![X]:(generous(X)<=>(funny(X)&~curious(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(old(X)&~rich(X))))&
(![X]:(~creative(X)=>curious(X)))&
(![X]:(... | ~creative(mary) | [
"p1",
"p4",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3968392897149743612320295
% SZS output start Proof for 3968392897149743612320295
2. ! [X0] : ((happy(X0) | ~generous(X0)) => (~happy(X0) | ~generous(X0))) [input p1]
5. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (~rich(X0) & old(X0))) [input p4]
11. ! [X0] : ((~creative(X0) <~> kind(X... | 0 |
Everyone who is both kind and not curious is curious. If paul is not old or patient then paul is both not generous and patient. If someone is both not rich and not brave then lucy is not patient or not creative and vice versa. If susan is both curious and rich then paul is not tall and vice versa. Everyone who is both ... | Alice is not kind. | neutral | (![X]:((kind(X)&~curious(X))=>curious(X)))&
(((~old(paul)|patient(paul)))=>((~generous(paul)&patient(paul))))&
((?[X]:((~rich(X)&~brave(X))))<=>((~patient(lucy)|~creative(lucy))))&
(((curious(susan)&rich(susan)))<=>(~tall(paul)))&
(![X]:((~wise(X)&happy(X))=>(quiet(X)&~old(X))))&
(((happy(john)<~>wise(john)))<=>(wise(f... | ~kind(alice) | [] | null | 0 |
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is not humble or rich. Everyone who is not creative is not rich and vice versa. Everyone who is both old and not kind is wise and vice versa. If susan is both funny and not patient then fred is either not b... | Susan is not old. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&~kind(X))<=>wise(X)))&
(((funny(susan)&~patient(susan)))<=>((~brave(fred)<~>~calm(fred))))&
((?[X]:((wise(X)<~>funny(X))))<=>((wise(john)|~patient(john))... | ~old(susan) | [
"p2",
"p12",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6586058327095428219250025
% SZS output start Proof for 6586058327095428219250025
3. ! [X0] : (~creative(X0) <=> ~rich(X0)) [input p2]
13. ! [X0] : ((~creative(X0) | generous(X0)) <=> (generous(X0) & ~humble(X0))) [input p12]
15. ! [X0] : ((quiet(X0) & rich(X0)) <=> (~calm(X0) | ~humble(X0... | 0 |
If mary is both not humble and generous then someone is strong or not old.
Everyone who is not calm is either curious or not patient.
If john is both not calm and brave then someone is not kind.
Everyone who is either curious or generous is not strong.
Everyone who is either strong or not curious is both happy and old ... | Mary is not patient. | contradiction | (((~humble(mary)&generous(mary)))=>(?[X]:((strong(X)|~old(X)))))&
(![X]:(~calm(X)=>(curious(X)<~>~patient(X))))&
(((~calm(john)&brave(john)))=>(?[X]:(~kind(X))))&
(![X]:((curious(X)<~>generous(X))=>~strong(X)))&
(![X]:((strong(X)<~>~curious(X))<=>(happy(X)&old(X))))&
((?[X]:((funny(X)&~calm(X))))=>(?[X]:(generous(X))))... | ~patient(mary) | [
"p1",
"p4",
"p6",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7141491177446997328576951
% SZS output start Proof for 7141491177446997328576951
2. ! [X0] : (~calm(X0) => (curious(X0) <~> ~patient(X0))) [input p1]
5. ! [X0] : ((strong(X0) <~> ~curious(X0)) <=> (old(X0) & happy(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) | calm(X0)) <=> (~curious(X0) | s... | 0 |
If someone is not funny then lucy is either old or not patient and vice versa.
Everyone who is happy or not old is both patient and rich.
If lucy is both strong and creative then susan is happy and vice versa.
If lucy is not generous or not old then someone is either not funny or not kind and vice versa.
If alice is ki... | Lucy is not old. | contradiction | ((?[X]:(~funny(X)))<=>((old(lucy)<~>~patient(lucy))))&
(![X]:((happy(X)|~old(X))=>(patient(X)&rich(X))))&
(((strong(lucy)&creative(lucy)))<=>(happy(susan)))&
(((~generous(lucy)|~old(lucy)))<=>(?[X]:((~funny(X)<~>~kind(X)))))&
((kind(alice))<=>(?[X]:(~kind(X))))&
(![X]:(~generous(X)=>(creative(X)|~tall(X))))&
(![X]:((~h... | ~old(lucy) | [
"p0",
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5910144239267151928590417
% SZS output start Proof for 5910144239267151928590417
1. ? [X0] : ~funny(X0) <=> (old(lucy) <~> ~patient(lucy)) [input p0]
2. ! [X0] : ((~old(X0) | happy(X0)) => (rich(X0) & patient(X0))) [input p1]
20. ~funny(paul) & humble(paul) [input p19]
25. ~old(lucy) [inp... | 0 |
Everyone who is either not curious or old is not quiet or kind.
Everyone who is both not generous and not wise is either not old or not curious and vice versa.
Everyone who is not happy is kind or humble and vice versa.
Everyone who is happy or wise is brave or curious.
If paul is not brave then lucy is both not old an... | Alice is generous. | contradiction | (![X]:((~curious(X)<~>old(X))=>(~quiet(X)|kind(X))))&
(![X]:((~generous(X)&~wise(X))<=>(~old(X)<~>~curious(X))))&
(![X]:(~happy(X)<=>(kind(X)|humble(X))))&
(![X]:((happy(X)|wise(X))=>(brave(X)|curious(X))))&
((~brave(paul))<=>((~old(lucy)&~funny(lucy))))&
(![X]:((~happy(X)<~>~rich(X))=>~patient(X)))&
((?[X]:(tall(X)))<... | generous(alice) | [
"p1",
"p3",
"p7",
"p9",
"p11",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7407526885632722546930176
% SZS output start Proof for 7407526885632722546930176
2. ! [X0] : ((~wise(X0) & ~generous(X0)) <=> (~old(X0) <~> ~curious(X0))) [input p1]
4. ! [X0] : ((wise(X0) | happy(X0)) => (curious(X0) | brave(X0))) [input p3]
8. ! [X0] : ((~kind(X0) | ~strong(X0)) <=> (ri... | 0 |
If fred is not happy or rich then someone is not curious. Everyone who is old or not generous is either wise or funny and vice versa. If paul is quiet then someone is either creative or humble. Everyone who is not creative is not calm and vice versa. Everyone who is calm or not tall is both funny and wise. If someone i... | Lucy is patient. | contradiction | (((~happy(fred)|rich(fred)))=>(?[X]:(~curious(X))))&
(![X]:((old(X)|~generous(X))<=>(wise(X)<~>funny(X))))&
((quiet(paul))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:(~creative(X)<=>~calm(X)))&
(![X]:((calm(X)|~tall(X))=>(funny(X)&wise(X))))&
((?[X]:(quiet(X)))<=>((~creative(susan)&patient(susan))))&
(![X]:((wise(X)|~... | patient(lucy) | [
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3423413348400599490342419
% SZS output start Proof for 3423413348400599490342419
5. ! [X0] : ((~tall(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p4]
7. ! [X0] : ((~strong(X0) | wise(X0)) => (patient(X0) <~> funny(X0))) [input p6]
11. ! [X0] : ((humble(X0) | patient(X0)) => calm(X0))... | 0 |
Everyone who is tall is not kind and vice versa. Everyone who is humble is not curious and vice versa. Everyone who is kind is not funny or not generous and vice versa. Everyone who is both not wise and quiet is generous and vice versa. Everyone who is not tall is not brave or not strong and vice versa. Everyone who is... | Lucy is kind. | entailment | (![X]:(tall(X)<=>~kind(X)))&
(![X]:(humble(X)<=>~curious(X)))&
(![X]:(kind(X)<=>(~funny(X)|~generous(X))))&
(![X]:((~wise(X)&quiet(X))<=>generous(X)))&
(![X]:(~tall(X)<=>(~brave(X)|~strong(X))))&
(![X]:((~strong(X)<~>~calm(X))=>(tall(X)<~>~strong(X))))&
(![X]:(curious(X)=>(generous(X)<~>~funny(X))))&
((?[X]:(rich(X)))=... | kind(lucy) | [
"p2",
"p3",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4298574623722237079827388
% SZS output start Proof for 4298574623722237079827388
3. ! [X0] : (kind(X0) <=> (~generous(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((quiet(X0) & ~wise(X0)) <=> generous(X0)) [input p3]
19. wise(lucy) <~> kind(lucy) [input p18]
24. ~kind(lucy) [input hypothesis... | 0 |
Everyone who is both quiet and not tall is either happy or not creative.
Everyone who is both not calm and happy is rich.
Everyone who is both rich and kind is generous or not old and vice versa.
If susan is either humble or not curious then someone is both not quiet and quiet and vice versa.
If someone is both not fun... | John is not rich. | entailment | (![X]:((quiet(X)&~tall(X))=>(happy(X)<~>~creative(X))))&
(![X]:((~calm(X)&happy(X))=>rich(X)))&
(![X]:((rich(X)&kind(X))<=>(generous(X)|~old(X))))&
(((humble(susan)<~>~curious(susan)))<=>(?[X]:((~quiet(X)&quiet(X)))))&
((?[X]:((~funny(X)&~wise(X))))<=>(?[X]:((~generous(X)<~>~happy(X)))))&
(![X]:(~curious(X)=>(humble(X)... | ~rich(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2412254689737896964981095
% SZS output start Proof for 2412254689737896964981095
15. ! [X0] : ((~happy(X0) & ~rich(X0)) <=> (rich(X0) | creative(X0))) [input p14]
24. rich(john) [input hypothesis]
68. ! [X0] : (((~happy(X0) & ~rich(X0)) | (~rich(X0) & ~creative(X0))) & ((rich(X0) | creati... | 0 |
If john is both funny and strong then someone is either old or not curious.
If someone is not creative or creative then john is both curious and brave and vice versa.
If someone is either happy or rich then paul is humble or not quiet and vice versa.
Everyone who is either not wise or patient is tall or brave.
If mary ... | Alice is rich. | neutral | (((funny(john)&strong(john)))=>(?[X]:((old(X)<~>~curious(X)))))&
((?[X]:((~creative(X)|creative(X))))<=>((curious(john)&brave(john))))&
((?[X]:((happy(X)<~>rich(X))))<=>((humble(paul)|~quiet(paul))))&
(![X]:((~wise(X)<~>patient(X))=>(tall(X)|brave(X))))&
(((~patient(mary)<~>~curious(mary)))<=>(?[X]:((~calm(X)<~>~creati... | rich(alice) | [] | null | 0 |
Everyone who is both humble and not quiet is tall and vice versa.
If someone is patient or not rich then someone is either not curious or not quiet.
Everyone who is either patient or not kind is brave or not creative.
If someone is creative then someone is either creative or funny.
If someone is both tall and calm then... | Susan is not happy. | contradiction | (![X]:((humble(X)&~quiet(X))<=>tall(X)))&
((?[X]:((patient(X)|~rich(X))))=>(?[X]:((~curious(X)<~>~quiet(X)))))&
(![X]:((patient(X)<~>~kind(X))=>(brave(X)|~creative(X))))&
((?[X]:(creative(X)))=>(?[X]:((creative(X)<~>funny(X)))))&
((?[X]:((tall(X)&calm(X))))<=>((~humble(alice)<~>~strong(alice))))&
((?[X]:((rich(X)&~happ... | ~happy(susan) | [
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 965381010568550896450355
% SZS output start Proof for 965381010568550896450355
9. ! [X0] : ((tall(X0) | ~creative(X0)) => (~rich(X0) & ~patient(X0))) [input p8]
12. (rich(alice) & tall(alice)) <=> ? [X0] : (~happy(X0) | brave(X0)) [input p11]
25. ~happy(susan) [input hypothesis]
36. ! [X0... | 0 |
Everyone who is curious or not strong is calm and vice versa.
If alice is not wise then alice is curious or not humble.
Everyone who is both not kind and patient is not strong or not quiet.
Everyone who is patient or happy is brave or not funny.
If someone is either quiet or generous then fred is either calm or tall an... | Susan is happy. | neutral | (![X]:((curious(X)|~strong(X))<=>calm(X)))&
((~wise(alice))=>((curious(alice)|~humble(alice))))&
(![X]:((~kind(X)&patient(X))=>(~strong(X)|~quiet(X))))&
(![X]:((patient(X)|happy(X))=>(brave(X)|~funny(X))))&
((?[X]:((quiet(X)<~>generous(X))))<=>((calm(fred)<~>tall(fred))))&
((?[X]:((patient(X)&~creative(X))))=>(kind(fre... | happy(susan) | [] | null | 0 |
Everyone who is both wise and happy is curious or not brave.
If fred is both generous and not patient then someone is both humble and generous.
Everyone who is not generous or not strong is both wise and not funny and vice versa.
Everyone who is not curious or not creative is either rich or curious and vice versa.
Ever... | Fred is strong. | entailment | (![X]:((wise(X)&happy(X))=>(curious(X)|~brave(X))))&
(((generous(fred)&~patient(fred)))=>(?[X]:((humble(X)&generous(X)))))&
(![X]:((~generous(X)|~strong(X))<=>(wise(X)&~funny(X))))&
(![X]:((~curious(X)|~creative(X))<=>(rich(X)<~>curious(X))))&
(![X]:((~old(X)&~generous(X))<=>(generous(X)<~>~creative(X))))&
(((tall(paul... | strong(fred) | [
"p2",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4085979105519329618190756
% SZS output start Proof for 4085979105519329618190756
3. ! [X0] : ((~strong(X0) | ~generous(X0)) <=> (~funny(X0) & wise(X0))) [input p2]
9. ! [X0] : ((~funny(X0) <~> ~humble(X0)) => (strong(X0) & ~creative(X0))) [input p8]
11. ! [X0] : (tall(X0) <=> (strong(X0) ... | 0 |
Everyone who is not strong or quiet is both not happy and not humble. Everyone who is both not creative and not funny is creative. If someone is both tall and humble then susan is either not old or not curious. If paul is either generous or tall then someone is wise. If someone is funny or wise then someone is calm. Ev... | Lucy is funny. | neutral | (![X]:((~strong(X)|quiet(X))=>(~happy(X)&~humble(X))))&
(![X]:((~creative(X)&~funny(X))=>creative(X)))&
((?[X]:((tall(X)&humble(X))))=>((~old(susan)<~>~curious(susan))))&
(((generous(paul)<~>tall(paul)))=>(?[X]:(wise(X))))&
((?[X]:((funny(X)|wise(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>(humble(X)|~happy(X))))&
(((h... | funny(lucy) | [] | null | 0 |
If susan is both strong and rich then someone is either kind or not curious and vice versa.
If someone is both happy and not wise then fred is not tall.
If mary is both not quiet and not generous then someone is not tall or strong.
Everyone who is creative or curious is tall.
If someone is kind or generous then someone... | Fred is kind. | contradiction | (((strong(susan)&rich(susan)))<=>(?[X]:((kind(X)<~>~curious(X)))))&
((?[X]:((happy(X)&~wise(X))))=>(~tall(fred)))&
(((~quiet(mary)&~generous(mary)))=>(?[X]:((~tall(X)|strong(X)))))&
(![X]:((creative(X)|curious(X))=>tall(X)))&
((?[X]:((kind(X)|generous(X))))<=>(?[X]:((~calm(X)&~patient(X)))))&
((wise(lucy))=>(creative(s... | kind(fred) | [
"p1",
"p8",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 621289787492905689185567
% SZS output start Proof for 621289787492905689185567
2. ? [X0] : (~wise(X0) & happy(X0)) => ~tall(fred) [input p1]
9. ! [X0] : ((~calm(X0) | kind(X0)) <=> (~kind(X0) | tall(X0))) [input p8]
15. (~wise(mary) & tall(mary)) <=> ? [X0] : (generous(X0) | happy(X0)) [i... | 0 |
If someone is not wise then fred is either not old or curious and vice versa.
If fred is both not kind and not creative then someone is not funny and vice versa.
If paul is either not wise or not quiet then fred is both not happy and tall.
Everyone who is either tall or humble is creative or not creative.
If someone is... | Lucy is old. | entailment | ((?[X]:(~wise(X)))<=>((~old(fred)<~>curious(fred))))&
(((~kind(fred)&~creative(fred)))<=>(?[X]:(~funny(X))))&
(((~wise(paul)<~>~quiet(paul)))=>((~happy(fred)&tall(fred))))&
(![X]:((tall(X)<~>humble(X))=>(creative(X)|~creative(X))))&
((?[X]:((generous(X)<~>~creative(X))))=>((~brave(paul)|~wise(paul))))&
(![X]:((brave(X)... | old(lucy) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 585651348510146899997104
% SZS output start Proof for 585651348510146899997104
6. ! [X0] : ((calm(X0) & brave(X0)) <=> (~calm(X0) | ~rich(X0))) [input p5]
13. ! [X0] : ((~happy(X0) | ~old(X0)) => (~calm(X0) & ~rich(X0))) [input p12]
25. ~old(lucy) [input hypothesis]
36. ! [X0] : ((~calm(X... | 0 |
Everyone who is tall is not rich.
If someone is not tall then someone is not happy or not funny.
Everyone who is not happy or not tall is not humble.
Everyone who is creative or wise is both patient and wise.
Everyone who is rich is both strong and not quiet and vice versa.
Everyone who is not brave is patient.
Everyon... | Alice is calm. | neutral | (![X]:(tall(X)=>~rich(X)))&
((?[X]:(~tall(X)))=>(?[X]:((~happy(X)|~funny(X)))))&
(![X]:((~happy(X)|~tall(X))=>~humble(X)))&
(![X]:((creative(X)|wise(X))=>(patient(X)&wise(X))))&
(![X]:(rich(X)<=>(strong(X)&~quiet(X))))&
(![X]:(~brave(X)=>patient(X)))&
(![X]:((humble(X)<~>curious(X))<=>(~generous(X)&~brave(X))))&
(![X]:... | calm(alice) | [] | null | 0 |
Everyone who is either not humble or humble is patient or not curious and vice versa. Everyone who is both happy and brave is not happy and vice versa. Everyone who is both not kind and tall is both calm and not old and vice versa. If paul is both not creative and funny then fred is rich and vice versa. If someone is e... | Alice is not happy. | contradiction | (![X]:((~humble(X)<~>humble(X))<=>(patient(X)|~curious(X))))&
(![X]:((happy(X)&brave(X))<=>~happy(X)))&
(![X]:((~kind(X)&tall(X))<=>(calm(X)&~old(X))))&
(((~creative(paul)&funny(paul)))<=>(rich(fred)))&
((?[X]:((generous(X)<~>~happy(X))))=>((humble(john)<~>happy(john))))&
(![X]:(~curious(X)<=>(~kind(X)<~>kind(X))))&
((... | ~happy(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 1002696298947653264844486
% SZS output start Proof for 1002696298947653264844486
2. ! [X0] : ((brave(X0) & happy(X0)) <=> ~happy(X0)) [input p1]
25. ~happy(alice) [input hypothesis]
37. ! [X0] : (((brave(X0) & happy(X0)) | happy(X0)) & (~happy(X0) | (~brave(X0) | ~happy(X0)))) [nnf transf... | 0 |
Everyone who is either brave or not curious is wise or not tall and vice versa.
Everyone who is either patient or calm is not strong.
Everyone who is not patient is not curious or not brave.
Everyone who is either curious or not generous is either old or not quiet.
Everyone who is either quiet or not curious is both no... | Lucy is not quiet. | entailment | (![X]:((brave(X)<~>~curious(X))<=>(wise(X)|~tall(X))))&
(![X]:((patient(X)<~>calm(X))=>~strong(X)))&
(![X]:(~patient(X)=>(~curious(X)|~brave(X))))&
(![X]:((curious(X)<~>~generous(X))=>(old(X)<~>~quiet(X))))&
(![X]:((quiet(X)<~>~curious(X))<=>(~brave(X)&~old(X))))&
(![X]:((happy(X)|quiet(X))=>(quiet(X)&~funny(X))))&
((?... | ~quiet(lucy) | [
"p5",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 42640292504394306006137
% SZS output start Proof for 42640292504394306006137
6. ! [X0] : ((quiet(X0) | happy(X0)) => (~funny(X0) & quiet(X0))) [input p5]
12. ! [X0] : (wise(X0) <=> (~funny(X0) <~> quiet(X0))) [input p11]
15. ! [X0] : ((~rich(X0) & funny(X0)) <=> (rich(X0) | happy(X0))) [i... | 0 |
Everyone who is not calm or funny is either calm or funny. Everyone who is both strong and not patient is happy. Everyone who is humble or not generous is not curious or not tall. Everyone who is not creative is calm and vice versa. If susan is rich then someone is either not patient or old. If someone is both quiet an... | Lucy is not brave. | neutral | (![X]:((~calm(X)|funny(X))=>(calm(X)<~>funny(X))))&
(![X]:((strong(X)&~patient(X))=>happy(X)))&
(![X]:((humble(X)|~generous(X))=>(~curious(X)|~tall(X))))&
(![X]:(~creative(X)<=>calm(X)))&
((rich(susan))=>(?[X]:((~patient(X)<~>old(X)))))&
((?[X]:((quiet(X)&curious(X))))<=>((~generous(john)&~quiet(john))))&
(![X]:((~calm... | ~brave(lucy) | [] | null | 0 |
If mary is both old and not patient then john is either brave or not generous and vice versa.
Everyone who is either creative or patient is old or not funny and vice versa.
Everyone who is calm is both patient and not strong and vice versa.
Everyone who is strong is either happy or not calm.
Everyone who is both not pa... | Mary is not rich. | contradiction | (((old(mary)&~patient(mary)))<=>((brave(john)<~>~generous(john))))&
(![X]:((creative(X)<~>patient(X))<=>(old(X)|~funny(X))))&
(![X]:(calm(X)<=>(patient(X)&~strong(X))))&
(![X]:(strong(X)=>(happy(X)<~>~calm(X))))&
(![X]:((~patient(X)&~happy(X))=>(strong(X)|~generous(X))))&
(((~humble(john)&wise(john)))=>(?[X]:((~strong(... | ~rich(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1618639735219788495614229
% SZS output start Proof for 1618639735219788495614229
9. ! [X0] : ((~rich(X0) | patient(X0)) <=> (rich(X0) & happy(X0))) [input p8]
23. ~rich(mary) [input hypothesis]
48. ! [X0] : (((~rich(X0) | patient(X0)) | (~rich(X0) | ~happy(X0))) & ((rich(X0) & happy(X0)) ... | 0 |
Everyone who is not brave is either kind or curious.
If mary is rich or not wise then someone is both patient and not tall.
If someone is tall then susan is curious.
If someone is not brave or generous then alice is either not old or not tall and vice versa.
If fred is both tall and not kind then susan is creative and ... | Mary is creative. | neutral | (![X]:(~brave(X)=>(kind(X)<~>curious(X))))&
(((rich(mary)|~wise(mary)))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:(tall(X)))=>(curious(susan)))&
((?[X]:((~brave(X)|generous(X))))<=>((~old(alice)<~>~tall(alice))))&
(((tall(fred)&~kind(fred)))<=>(creative(susan)))&
(![X]:(happy(X)=>~quiet(X)))&
(![X]:((patient(X)&kind(X))... | creative(mary) | [] | null | 0 |
If susan is not curious then someone is both not quiet and tall and vice versa.
Everyone who is either curious or calm is either calm or not curious.
Everyone who is both kind and patient is either not calm or strong and vice versa.
Everyone who is both not brave and calm is brave and vice versa.
If john is both not cu... | Alice is old. | neutral | ((~curious(susan))<=>(?[X]:((~quiet(X)&tall(X)))))&
(![X]:((curious(X)<~>calm(X))=>(calm(X)<~>~curious(X))))&
(![X]:((kind(X)&patient(X))<=>(~calm(X)<~>strong(X))))&
(![X]:((~brave(X)&calm(X))<=>brave(X)))&
(((~curious(john)&~happy(john)))=>((~rich(lucy)&generous(lucy))))&
((?[X]:(~funny(X)))=>(strong(susan)))&
((?[X]:... | old(alice) | [] | null | 0 |
Everyone who is both not tall and old is either not tall or happy and vice versa.
Everyone who is either wise or happy is strong or tall and vice versa.
Everyone who is patient is both tall and not quiet and vice versa.
Everyone who is not happy or not generous is not quiet and vice versa.
If lucy is calm or not strong... | John is patient. | entailment | (![X]:((~tall(X)&old(X))<=>(~tall(X)<~>happy(X))))&
(![X]:((wise(X)<~>happy(X))<=>(strong(X)|tall(X))))&
(![X]:(patient(X)<=>(tall(X)&~quiet(X))))&
(![X]:((~happy(X)|~generous(X))<=>~quiet(X)))&
(((calm(lucy)|~strong(lucy)))<=>(?[X]:((kind(X)&generous(X)))))&
((?[X]:((wise(X)<~>~old(X))))=>(?[X]:((rich(X)<~>~old(X)))))... | patient(john) | [
"p0",
"p2",
"p3",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4690584382592784579810659
% SZS output start Proof for 4690584382592784579810659
1. ! [X0] : ((old(X0) & ~tall(X0)) <=> (~tall(X0) <~> happy(X0))) [input p0]
3. ! [X0] : (patient(X0) <=> (~quiet(X0) & tall(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | ~happy(X0)) <=> ~quiet(X0)) [input p... | 0 |
Everyone who is not quiet is not old or humble and vice versa.
Everyone who is both generous and rich is not kind and vice versa.
Everyone who is either not kind or creative is not old or humble.
If susan is not curious then someone is either quiet or not creative.
If mary is either not calm or tall then alice is not k... | Paul is humble. | neutral | (![X]:(~quiet(X)<=>(~old(X)|humble(X))))&
(![X]:((generous(X)&rich(X))<=>~kind(X)))&
(![X]:((~kind(X)<~>creative(X))=>(~old(X)|humble(X))))&
((~curious(susan))=>(?[X]:((quiet(X)<~>~creative(X)))))&
(((~calm(mary)<~>tall(mary)))=>((~kind(alice)|brave(alice))))&
(![X]:((~humble(X)|kind(X))=>quiet(X)))&
(![X]:((quiet(X)|~... | humble(paul) | [] | null | 0 |
Everyone who is strong is either not creative or tall.
Everyone who is both not strong and generous is both creative and quiet.
Everyone who is both not tall and kind is both not curious and not rich.
Everyone who is not strong is humble or curious.
If someone is not old or not tall then john is either not generous or ... | Susan is patient. | neutral | (![X]:(strong(X)=>(~creative(X)<~>tall(X))))&
(![X]:((~strong(X)&generous(X))=>(creative(X)&quiet(X))))&
(![X]:((~tall(X)&kind(X))=>(~curious(X)&~rich(X))))&
(![X]:(~strong(X)=>(humble(X)|curious(X))))&
((?[X]:((~old(X)|~tall(X))))=>((~generous(john)<~>~curious(john))))&
((?[X]:((creative(X)&rich(X))))=>((old(susan)&ki... | patient(susan) | [] | null | 0 |
If someone is not tall then paul is not kind or generous and vice versa.
Everyone who is humble or not rich is rich or funny and vice versa.
Everyone who is both not curious and brave is not curious or strong.
If someone is generous then susan is either not happy or not patient.
If susan is both not brave and not kind ... | Paul is creative. | neutral | ((?[X]:(~tall(X)))<=>((~kind(paul)|generous(paul))))&
(![X]:((humble(X)|~rich(X))<=>(rich(X)|funny(X))))&
(![X]:((~curious(X)&brave(X))=>(~curious(X)|strong(X))))&
((?[X]:(generous(X)))=>((~happy(susan)<~>~patient(susan))))&
(((~brave(susan)&~kind(susan)))=>((humble(alice)&brave(alice))))&
((?[X]:((~generous(X)<~>creat... | creative(paul) | [] | null | 0 |
Everyone who is not rich is both quiet and not creative and vice versa.
If someone is not patient then someone is happy.
Everyone who is both not calm and not generous is either not rich or calm.
Everyone who is both not creative and curious is old or curious and vice versa.
If paul is not brave or not creative then so... | Susan is old. | contradiction | (![X]:(~rich(X)<=>(quiet(X)&~creative(X))))&
((?[X]:(~patient(X)))=>(?[X]:(happy(X))))&
(![X]:((~calm(X)&~generous(X))=>(~rich(X)<~>calm(X))))&
(![X]:((~creative(X)&curious(X))<=>(old(X)|curious(X))))&
(((~brave(paul)|~creative(paul)))<=>(?[X]:((~kind(X)<~>patient(X)))))&
(![X]:(~tall(X)<=>(~brave(X)|~calm(X))))&
(![X]... | old(susan) | [
"p5",
"p7",
"p11",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2741450948357579782164461
% SZS output start Proof for 2741450948357579782164461
6. ! [X0] : (~tall(X0) <=> (~calm(X0) | ~brave(X0))) [input p5]
8. ! [X0] : ((~tall(X0) | wise(X0)) <=> ~humble(X0)) [input p7]
12. ? [X0] : (~humble(X0) & ~brave(X0)) => ~old(susan) [input p11]
20. calm(mary... | 0 |
Everyone who is brave is either not generous or humble and vice versa.
Everyone who is either not calm or not curious is generous or not strong and vice versa.
Everyone who is either quiet or curious is both curious and happy and vice versa.
Everyone who is creative or not wise is brave.
Everyone who is not strong or n... | John is not quiet. | entailment | (![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generous(X)|~strong(X))))&
(![X]:((quiet(X)<~>curious(X))<=>(curious(X)&happy(X))))&
(![X]:((creative(X)|~wise(X))=>brave(X)))&
(![X]:((~strong(X)|~generous(X))<=>strong(X)))&
((?[X]:((~wise(X)&~generous(X))))<=>((~rich(susan)<~>~kind(su... | ~quiet(john) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2854023148327078147942997
% SZS output start Proof for 2854023148327078147942997
3. ! [X0] : ((quiet(X0) <~> curious(X0)) <=> (happy(X0) & curious(X0))) [input p2]
5. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p4]
8. ? [X0] : (~funny(X0) & generous(X0)) <=> ? [X0] : cu... | 0 |
Everyone who is both not rich and patient is either not strong or quiet and vice versa.
If john is strong or wise then someone is old or not patient and vice versa.
If mary is not wise then mary is not humble and vice versa.
Everyone who is not wise is either not tall or not humble.
Everyone who is both not old and not... | Lucy is not curious. | contradiction | (![X]:((~rich(X)&patient(X))<=>(~strong(X)<~>quiet(X))))&
(((strong(john)|wise(john)))<=>(?[X]:((old(X)|~patient(X)))))&
((~wise(mary))<=>(~humble(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~humble(X))))&
(![X]:((~old(X)&~brave(X))<=>(creative(X)|~tall(X))))&
(![X]:((strong(X)|creative(X))=>(~quiet(X)&funny(X))))&
(![X]:((~... | ~curious(lucy) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2323722590881420437323781
% SZS output start Proof for 2323722590881420437323781
1. ! [X0] : ((patient(X0) & ~rich(X0)) <=> (~strong(X0) <~> quiet(X0))) [input p0]
4. ! [X0] : (~wise(X0) => (~tall(X0) <~> ~humble(X0))) [input p3]
5. ! [X0] : ((~brave(X0) & ~old(X0)) <=> (~tall(X0) | creat... | 0 |
Everyone who is not strong is wise and vice versa. Everyone who is both not happy and not generous is curious and vice versa. Everyone who is not quiet or not creative is not tall and vice versa. If susan is either old or not calm then fred is either not strong or not tall. If mary is either not happy or not strong the... | Mary is not wise. | contradiction | (![X]:(~strong(X)<=>wise(X)))&
(![X]:((~happy(X)&~generous(X))<=>curious(X)))&
(![X]:((~quiet(X)|~creative(X))<=>~tall(X)))&
(((old(susan)<~>~calm(susan)))=>((~strong(fred)<~>~tall(fred))))&
(((~happy(mary)<~>~strong(mary)))<=>(?[X]:(~humble(X))))&
((?[X]:((funny(X)|~happy(X))))<=>(?[X]:((kind(X)<~>brave(X)))))&
(![X]:... | ~wise(mary) | [
"p0",
"p4",
"p8",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5928844804047419568880746
% SZS output start Proof for 5928844804047419568880746
1. ! [X0] : (~strong(X0) <=> wise(X0)) [input p0]
5. (~happy(mary) <~> ~strong(mary)) <=> ? [X0] : ~humble(X0) [input p4]
9. ! [X0] : (humble(X0) <=> ~calm(X0)) [input p8]
14. ! [X0] : (~humble(X0) <=> (~happ... | 0 |
Everyone who is not calm or rich is either curious or not wise and vice versa. Everyone who is both not rich and not patient is both brave and humble. Everyone who is not brave is either brave or not rich and vice versa. Everyone who is either not patient or not brave is brave or old. Everyone who is either not patient... | Susan is not quiet. | neutral | (![X]:((~calm(X)|rich(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&humble(X))))&
(![X]:(~brave(X)<=>(brave(X)<~>~rich(X))))&
(![X]:((~patient(X)<~>~brave(X))=>(brave(X)|old(X))))&
(![X]:((~patient(X)<~>~curious(X))<=>(~creative(X)|~calm(X))))&
(![X]:((quiet(X)&~creative(X))=>(quiet(X)<~>fun... | ~quiet(susan) | [] | null | 0 |
If paul is both quiet and not wise then someone is either not tall or not humble and vice versa.
Everyone who is both not kind and kind is creative and vice versa.
Everyone who is calm or not rich is both brave and not generous and vice versa.
Everyone who is both not curious and not rich is either calm or creative.
If... | Paul is not curious. | neutral | (((quiet(paul)&~wise(paul)))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((~kind(X)&kind(X))<=>creative(X)))&
(![X]:((calm(X)|~rich(X))<=>(brave(X)&~generous(X))))&
(![X]:((~curious(X)&~rich(X))=>(calm(X)<~>creative(X))))&
(((humble(susan)&~quiet(susan)))<=>((~patient(fred)&~happy(fred))))&
(![X]:((rich(X)|~old(X))=>(~w... | ~curious(paul) | [] | null | 0 |
Everyone who is quiet or not kind is not strong and vice versa. If susan is not curious or not tall then fred is brave or not generous and vice versa. Everyone who is both not happy and curious is curious or not creative and vice versa. If someone is both old and funny then someone is both rich and curious. Everyone wh... | Fred is happy. | contradiction | (![X]:((quiet(X)|~kind(X))<=>~strong(X)))&
(((~curious(susan)|~tall(susan)))<=>((brave(fred)|~generous(fred))))&
(![X]:((~happy(X)&curious(X))<=>(curious(X)|~creative(X))))&
((?[X]:((old(X)&funny(X))))=>(?[X]:((rich(X)&curious(X)))))&
(![X]:((~patient(X)|~humble(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((~wise(X)|~patien... | happy(fred) | [
"p2",
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 984797200593911376858219
% SZS output start Proof for 984797200593911376858219
3. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (~creative(X0) | curious(X0))) [input p2]
5. ! [X0] : ((~humble(X0) | ~patient(X0)) <=> (curious(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((~patient(X0) | ~wise(X0)... | 0 |
Everyone who is either not strong or happy is either not strong or tall and vice versa.
Everyone who is both creative and not funny is calm and vice versa.
If paul is old or not funny then lucy is not funny or not tall.
If paul is either not patient or strong then fred is patient.
If fred is both brave and not quiet th... | Lucy is tall. | entailment | (![X]:((~strong(X)<~>happy(X))<=>(~strong(X)<~>tall(X))))&
(![X]:((creative(X)&~funny(X))<=>calm(X)))&
(((old(paul)|~funny(paul)))=>((~funny(lucy)|~tall(lucy))))&
(((~patient(paul)<~>strong(paul)))=>(patient(fred)))&
(((brave(fred)&~quiet(fred)))=>(?[X]:(humble(X))))&
((~quiet(paul))<=>(?[X]:((strong(X)|rich(X)))))&
((... | tall(lucy) | [
"p0",
"p1",
"p8",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3222790732773115964643318
% SZS output start Proof for 3222790732773115964643318
1. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> (~strong(X0) <~> tall(X0))) [input p0]
2. ! [X0] : ((~funny(X0) & creative(X0)) <=> calm(X0)) [input p1]
9. ! [X0] : ((~generous(X0) | ~kind(X0)) => (~quiet(X0) & ... | 0 |
If someone is funny or kind then someone is either not wise or humble and vice versa.
Everyone who is happy is not old and vice versa.
Everyone who is not happy is both generous and calm.
Everyone who is old or rich is kind.
Everyone who is funny is not creative or not kind.
Everyone who is not humble or old is rich or... | Susan is old. | contradiction | ((?[X]:((funny(X)|kind(X))))<=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(happy(X)<=>~old(X)))&
(![X]:(~happy(X)=>(generous(X)&calm(X))))&
(![X]:((old(X)|rich(X))=>kind(X)))&
(![X]:(funny(X)=>(~creative(X)|~kind(X))))&
(![X]:((~humble(X)|old(X))=>(rich(X)|~curious(X))))&
((curious(lucy))=>((strong(fred)<~>creative(fred))... | old(susan) | [
"p1",
"p2",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9090926374690145743669157
% SZS output start Proof for 9090926374690145743669157
2. ! [X0] : (happy(X0) <=> ~old(X0)) [input p1]
3. ! [X0] : (~happy(X0) => (calm(X0) & generous(X0))) [input p2]
8. ! [X0] : ((generous(X0) & humble(X0)) => (happy(X0) & kind(X0))) [input p7]
22. ~happy(susan... | 0 |
Everyone who is either not funny or strong is not old.
Everyone who is either rich or not calm is not funny or not generous.
If someone is both funny and generous then someone is both not kind and quiet.
If fred is both funny and not strong then someone is either brave or not generous and vice versa.
Everyone who is no... | Lucy is not strong. | entailment | (![X]:((~funny(X)<~>strong(X))=>~old(X)))&
(![X]:((rich(X)<~>~calm(X))=>(~funny(X)|~generous(X))))&
((?[X]:((funny(X)&generous(X))))=>(?[X]:((~kind(X)&quiet(X)))))&
(((funny(fred)&~strong(fred)))<=>(?[X]:((brave(X)<~>~generous(X)))))&
(![X]:((~tall(X)|~calm(X))=>(~happy(X)<~>happy(X))))&
(![X]:(tall(X)<=>(~rich(X)<~>~f... | ~strong(lucy) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 696776961755949256677773
% SZS output start Proof for 696776961755949256677773
7. ! [X0] : ((~generous(X0) & brave(X0)) <=> humble(X0)) [input p6]
9. ! [X0] : (strong(X0) <=> (~brave(X0) & humble(X0))) [input p8]
23. strong(lucy) [input hypothesis]
46. ! [X0] : (((~generous(X0) & brave(X0... | 0 |
Everyone who is both not strong and generous is either not generous or rich and vice versa. If someone is either not quiet or not tall then someone is both not tall and not humble. If someone is funny then someone is happy and vice versa. Everyone who is both wise and not rich is funny. Everyone who is humble or not ri... | John is not old. | contradiction | (![X]:((~strong(X)&generous(X))<=>(~generous(X)<~>rich(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))=>(?[X]:((~tall(X)&~humble(X)))))&
((?[X]:(funny(X)))<=>(?[X]:(happy(X))))&
(![X]:((wise(X)&~rich(X))=>funny(X)))&
(![X]:((humble(X)|~rich(X))<=>~humble(X)))&
(![X]:((curious(X)&brave(X))<=>kind(X)))&
(((~calm(susan)<~>~funny(... | ~old(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7634748521404244769106072
% SZS output start Proof for 7634748521404244769106072
9. ! [X0] : (~old(X0) <=> (~calm(X0) & calm(X0))) [input p8]
24. ~old(john) [input hypothesis]
54. ! [X0] : ((~old(X0) | (calm(X0) | ~calm(X0))) & ((~calm(X0) & calm(X0)) | old(X0))) [nnf transformation 9]
55... | 0 |
Everyone who is both not funny and generous is either calm or quiet and vice versa.
Everyone who is either not funny or strong is either not wise or not strong and vice versa.
If john is not curious then someone is either not wise or not funny.
If someone is both not funny and rich then john is both curious and old and... | Lucy is not strong. | entailment | (![X]:((~funny(X)&generous(X))<=>(calm(X)<~>quiet(X))))&
(![X]:((~funny(X)<~>strong(X))<=>(~wise(X)<~>~strong(X))))&
((~curious(john))=>(?[X]:((~wise(X)<~>~funny(X)))))&
((?[X]:((~funny(X)&rich(X))))<=>((curious(john)&old(john))))&
(![X]:((strong(X)&~brave(X))<=>(funny(X)<~>creative(X))))&
(![X]:((~happy(X)<~>strong(X)... | ~strong(lucy) | [
"p4",
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5775907694731496377584365
% SZS output start Proof for 5775907694731496377584365
5. ! [X0] : ((~brave(X0) & strong(X0)) <=> (funny(X0) <~> creative(X0))) [input p4]
10. ! [X0] : (~brave(X0) <=> (patient(X0) | old(X0))) [input p9]
13. (~funny(mary) & funny(mary)) <=> funny(lucy) [input p12... | 0 |
If john is either tall or generous then someone is not strong and vice versa.
Everyone who is either tall or not generous is curious.
If alice is both not tall and old then lucy is both not old and happy.
If someone is either not happy or not strong then someone is either rich or not brave and vice versa.
Everyone who ... | Fred is not creative. | neutral | (((tall(john)<~>generous(john)))<=>(?[X]:(~strong(X))))&
(![X]:((tall(X)<~>~generous(X))=>curious(X)))&
(((~tall(alice)&old(alice)))=>((~old(lucy)&happy(lucy))))&
((?[X]:((~happy(X)<~>~strong(X))))<=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:((~funny(X)&~strong(X))<=>(brave(X)&~kind(X))))&
(![X]:(funny(X)=>(wise(X)|humble... | ~creative(fred) | [] | null | 0 |
If someone is happy then mary is not kind or rich and vice versa.
If alice is either not brave or rich then someone is either creative or not quiet and vice versa.
If someone is brave then someone is either humble or not curious.
Everyone who is either not quiet or tall is either not tall or not brave and vice versa.
I... | Susan is calm. | contradiction | ((?[X]:(happy(X)))<=>((~kind(mary)|rich(mary))))&
(((~brave(alice)<~>rich(alice)))<=>(?[X]:((creative(X)<~>~quiet(X)))))&
((?[X]:(brave(X)))=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:((~quiet(X)<~>tall(X))<=>(~tall(X)<~>~brave(X))))&
((?[X]:(kind(X)))=>((curious(paul)<~>~generous(paul))))&
(![X]:(~creative(X)=>rich(X... | calm(susan) | [
"p7",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3647524715738667858484804
% SZS output start Proof for 3647524715738667858484804
8. ! [X0] : ((patient(X0) & funny(X0)) <=> (~quiet(X0) | brave(X0))) [input p7]
15. ! [X0] : (~wise(X0) => (~patient(X0) & ~curious(X0))) [input p14]
16. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> (~calm(X0) <~> ... | 0 |
Everyone who is either wise or not calm is not wise.
If lucy is either curious or funny then fred is both not rich and not quiet.
Everyone who is both not old and brave is both brave and generous and vice versa.
Everyone who is curious or quiet is either creative or strong.
If fred is both not happy and quiet then lucy... | Susan is strong. | contradiction | (![X]:((wise(X)<~>~calm(X))=>~wise(X)))&
(((curious(lucy)<~>funny(lucy)))=>((~rich(fred)&~quiet(fred))))&
(![X]:((~old(X)&brave(X))<=>(brave(X)&generous(X))))&
(![X]:((curious(X)|quiet(X))=>(creative(X)<~>strong(X))))&
(((~happy(fred)&quiet(fred)))<=>((~kind(lucy)&~patient(lucy))))&
(![X]:((~generous(X)<~>happy(X))<=>(... | strong(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2017799647466522225419525
% SZS output start Proof for 2017799647466522225419525
22. ~strong(susan) & old(susan) [input p21]
25. strong(susan) [input hypothesis]
137. ~strong(susan) [cnf transformation 22]
140. strong(susan) [cnf transformation 25]
299. $false [subsumption resolution 140,... | 0 |
If fred is either not rich or not curious then someone is both not patient and not kind.
If paul is not humble or not strong then someone is funny or not humble.
Everyone who is both quiet and patient is funny and vice versa.
If alice is either not rich or not old then alice is both not generous and not quiet and vice ... | Lucy is old. | contradiction | (((~rich(fred)<~>~curious(fred)))=>(?[X]:((~patient(X)&~kind(X)))))&
(((~humble(paul)|~strong(paul)))=>(?[X]:((funny(X)|~humble(X)))))&
(![X]:((quiet(X)&patient(X))<=>funny(X)))&
(((~rich(alice)<~>~old(alice)))<=>((~generous(alice)&~quiet(alice))))&
(![X]:((kind(X)<~>~funny(X))<=>(~humble(X)&kind(X))))&
(![X]:((funny(X... | old(lucy) | [
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4037916479290371561155099
% SZS output start Proof for 4037916479290371561155099
10. ! [X0] : ((curious(X0) | ~creative(X0)) => ~old(X0)) [input p9]
19. ~creative(lucy) & happy(lucy) [input p18]
25. old(lucy) [input hypothesis]
32. ! [X0] : (~old(X0) | (~curious(X0) & creative(X0))) [ennf... | 0 |
If someone is both old and not generous then paul is both not creative and not wise. If someone is both strong and not calm then someone is rich and vice versa. If someone is either humble or not patient then alice is either wise or brave and vice versa. Everyone who is not funny is not funny or not tall. If fred is ei... | Alice is not old. | contradiction | ((?[X]:((old(X)&~generous(X))))=>((~creative(paul)&~wise(paul))))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:(rich(X))))&
((?[X]:((humble(X)<~>~patient(X))))<=>((wise(alice)<~>brave(alice))))&
(![X]:(~funny(X)=>(~funny(X)|~tall(X))))&
(((strong(fred)<~>funny(fred)))=>(?[X]:((creative(X)|~creative(X)))))&
(![X]:((creative(... | ~old(alice) | [
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8443612897567494933938575
% SZS output start Proof for 8443612897567494933938575
6. ! [X0] : ((quiet(X0) | creative(X0)) <=> (old(X0) <~> tall(X0))) [input p5]
7. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> generous(X0)) [input p6]
9. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> (kind(X0) | ~generous(... | 0 |
Everyone who is either patient or not tall is not creative or rich.
Everyone who is wise is quiet or not curious.
Everyone who is either not wise or tall is both not patient and creative.
Everyone who is both patient and funny is both not old and not patient and vice versa.
Everyone who is not generous is kind or not w... | Susan is not wise. | neutral | (![X]:((patient(X)<~>~tall(X))=>(~creative(X)|rich(X))))&
(![X]:(wise(X)=>(quiet(X)|~curious(X))))&
(![X]:((~wise(X)<~>tall(X))=>(~patient(X)&creative(X))))&
(![X]:((patient(X)&funny(X))<=>(~old(X)&~patient(X))))&
(![X]:(~generous(X)<=>(kind(X)|~wise(X))))&
((?[X]:(~happy(X)))=>(?[X]:((happy(X)<~>funny(X)))))&
(![X]:((... | ~wise(susan) | [] | null | 0 |
If mary is either strong or not curious then someone is both not calm and not old. Everyone who is not wise or rich is not brave or not quiet. Everyone who is either not tall or quiet is humble. Everyone who is creative is either not kind or not curious and vice versa. If john is both not kind and not brave then fred i... | Paul is not strong. | entailment | (((strong(mary)<~>~curious(mary)))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((~wise(X)|rich(X))=>(~brave(X)|~quiet(X))))&
(![X]:((~tall(X)<~>quiet(X))=>humble(X)))&
(![X]:(creative(X)<=>(~kind(X)<~>~curious(X))))&
(((~kind(john)&~brave(john)))<=>((~wise(fred)&curious(fred))))&
(((~tall(fred)&~curious(fred)))=>(?[X]:(~stron... | ~strong(paul) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1476488968321290899199548
% SZS output start Proof for 1476488968321290899199548
7. (~tall(lucy) | ~creative(lucy)) <=> (~tall(paul) & ~strong(paul)) [input p6]
11. ! [X0] : ((~humble(X0) | humble(X0)) => (calm(X0) & ~tall(X0))) [input p10]
24. strong(paul) [input hypothesis]
33. ! [X0] :... | 0 |
Everyone who is either calm or not humble is either old or not old. Everyone who is old or not generous is curious or patient. Everyone who is either not brave or generous is both happy and not creative and vice versa. Everyone who is not creative is either not humble or not calm and vice versa. If someone is either no... | Mary is not curious. | entailment | (![X]:((calm(X)<~>~humble(X))=>(old(X)<~>~old(X))))&
(![X]:((old(X)|~generous(X))=>(curious(X)|patient(X))))&
(![X]:((~brave(X)<~>generous(X))<=>(happy(X)&~creative(X))))&
(![X]:(~creative(X)<=>(~humble(X)<~>~calm(X))))&
((?[X]:((~calm(X)<~>~rich(X))))=>((old(mary)|~quiet(mary))))&
(((~tall(paul)|kind(paul)))=>((funny(... | ~curious(mary) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 445477115529654636937245
% SZS output start Proof for 445477115529654636937245
10. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (~curious(X0) & ~quiet(X0))) [input p9]
25. curious(mary) [input hypothesis]
33. ! [X0] : ((~curious(X0) & ~quiet(X0)) | (quiet(X0) <=> ~quiet(X0))) [ennf transformat... | 0 |
If someone is kind then paul is not patient. If alice is both funny and generous then someone is curious or patient. Everyone who is not creative is either not brave or rich and vice versa. If someone is either creative or patient then someone is not old or tall and vice versa. If someone is kind or not creative then s... | Alice is not calm. | neutral | ((?[X]:(kind(X)))=>(~patient(paul)))&
(((funny(alice)&generous(alice)))=>(?[X]:((curious(X)|patient(X)))))&
(![X]:(~creative(X)<=>(~brave(X)<~>rich(X))))&
((?[X]:((creative(X)<~>patient(X))))<=>(?[X]:((~old(X)|tall(X)))))&
((?[X]:((kind(X)|~creative(X))))=>(?[X]:((~rich(X)|~curious(X)))))&
(![X]:((~kind(X)|~calm(X))=>(... | ~calm(alice) | [] | null | 0 |
Everyone who is not kind or kind is either not rich or generous and vice versa. Everyone who is both kind and humble is not wise and vice versa. Everyone who is either not creative or not strong is strong and vice versa. If john is not calm then someone is tall or not patient. If someone is both not curious and not wis... | Fred is happy. | entailment | (![X]:((~kind(X)|kind(X))<=>(~rich(X)<~>generous(X))))&
(![X]:((kind(X)&humble(X))<=>~wise(X)))&
(![X]:((~creative(X)<~>~strong(X))<=>strong(X)))&
((~calm(john))=>(?[X]:((tall(X)|~patient(X)))))&
((?[X]:((~curious(X)&~wise(X))))<=>(?[X]:((~tall(X)<~>~strong(X)))))&
(![X]:((~funny(X)|~curious(X))<=>(~strong(X)|old(X))))... | happy(fred) | [
"p2",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4676331845376211910175229
% SZS output start Proof for 4676331845376211910175229
3. ! [X0] : ((~creative(X0) <~> ~strong(X0)) <=> strong(X0)) [input p2]
8. ! [X0] : ((brave(X0) | generous(X0)) => (~strong(X0) & happy(X0))) [input p7]
10. ! [X0] : ((~old(X0) | rich(X0)) <=> (curious(X0) & ... | 0 |
Everyone who is not curious or curious is either not kind or not old and vice versa.
Everyone who is both not wise and not funny is both patient and tall and vice versa.
Everyone who is either not old or not generous is not creative.
If mary is patient then someone is either kind or happy.
Everyone who is humble or not... | Lucy is not quiet. | contradiction | (![X]:((~curious(X)|curious(X))<=>(~kind(X)<~>~old(X))))&
(![X]:((~wise(X)&~funny(X))<=>(patient(X)&tall(X))))&
(![X]:((~old(X)<~>~generous(X))=>~creative(X)))&
((patient(mary))=>(?[X]:((kind(X)<~>happy(X)))))&
(![X]:((humble(X)|~funny(X))<=>(~kind(X)|rich(X))))&
(![X]:((tall(X)&calm(X))<=>(~humble(X)&brave(X))))&
(((~... | ~quiet(lucy) | [
"p0",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2816456874079742724881372
% SZS output start Proof for 2816456874079742724881372
1. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~kind(X0) <~> ~old(X0))) [input p0]
12. ! [X0] : ((patient(X0) | ~brave(X0)) <=> (~quiet(X0) <~> old(X0))) [input p11]
16. ! [X0] : ((creative(X0) & ~kind(X0)) <... | 0 |
Everyone who is not quiet or kind is not patient and vice versa. If john is generous then mary is kind or strong and vice versa. If someone is tall or funny then susan is tall and vice versa. Everyone who is curious is both creative and not generous. Everyone who is not curious or old is either rich or not happy. Every... | Paul is quiet. | neutral | (![X]:((~quiet(X)|kind(X))<=>~patient(X)))&
((generous(john))<=>((kind(mary)|strong(mary))))&
((?[X]:((tall(X)|funny(X))))<=>(tall(susan)))&
(![X]:(curious(X)=>(creative(X)&~generous(X))))&
(![X]:((~curious(X)|old(X))=>(rich(X)<~>~happy(X))))&
(![X]:(old(X)<=>(~wise(X)<~>~creative(X))))&
(((~strong(mary)|generous(mary)... | quiet(paul) | [] | null | 0 |
Everyone who is both not strong and wise is either not generous or not calm and vice versa.
If someone is both generous and humble then john is not old and vice versa.
Everyone who is not calm is both tall and calm.
Everyone who is both not happy and quiet is not rich or curious and vice versa.
If fred is happy then so... | Fred is brave. | entailment | (![X]:((~strong(X)&wise(X))<=>(~generous(X)<~>~calm(X))))&
((?[X]:((generous(X)&humble(X))))<=>(~old(john)))&
(![X]:(~calm(X)=>(tall(X)&calm(X))))&
(![X]:((~happy(X)&quiet(X))<=>(~rich(X)|curious(X))))&
((happy(fred))=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:(~happy(X)<=>rich(X)))&
((?[X]:((~creative(X)<~>curious(X))... | brave(fred) | [
"p3",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2261417086373012680364571
% SZS output start Proof for 2261417086373012680364571
4. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (curious(X0) | ~rich(X0))) [input p3]
6. ! [X0] : (~happy(X0) <=> rich(X0)) [input p5]
11. ! [X0] : ((~patient(X0) & ~rich(X0)) <=> (~curious(X0) | ~brave(X0))) [inpu... | 0 |
Everyone who is either rich or not rich is wise or quiet and vice versa. Everyone who is tall is rich and vice versa. Everyone who is patient is tall or not generous. If mary is old then lucy is both humble and tall and vice versa. Everyone who is either humble or not brave is both not patient and curious and vice vers... | Susan is rich. | neutral | (![X]:((rich(X)<~>~rich(X))<=>(wise(X)|quiet(X))))&
(![X]:(tall(X)<=>rich(X)))&
(![X]:(patient(X)=>(tall(X)|~generous(X))))&
((old(mary))<=>((humble(lucy)&tall(lucy))))&
(![X]:((humble(X)<~>~brave(X))<=>(~patient(X)&curious(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(rich(X)&~rich(X))))&
(![X]:(~funny(X)=>~calm(X)))&
(![X... | rich(susan) | [] | null | 0 |
If someone is not happy or patient then john is both not tall and curious and vice versa. If john is not funny or humble then john is not wise or wise and vice versa. Everyone who is both not happy and not curious is either not funny or not patient and vice versa. Everyone who is not tall or not generous is both tall a... | Fred is quiet. | contradiction | ((?[X]:((~happy(X)|patient(X))))<=>((~tall(john)&curious(john))))&
(((~funny(john)|humble(john)))<=>((~wise(john)|wise(john))))&
(![X]:((~happy(X)&~curious(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:((~tall(X)|~generous(X))<=>(tall(X)&~old(X))))&
(![X]:((tall(X)|generous(X))=>(~generous(X)&rich(X))))&
(![X]:((strong(X)|~... | quiet(fred) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7709251877636946004535213
% SZS output start Proof for 7709251877636946004535213
5. ! [X0] : ((generous(X0) | tall(X0)) => (rich(X0) & ~generous(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) | strong(X0)) <=> (generous(X0) <~> ~strong(X0))) [input p5]
19. quiet(fred) [input hypothesis]
21. ! ... | 0 |
If susan is either not strong or not creative then someone is not funny or funny. If susan is both not quiet and not wise then mary is both old and not creative. Everyone who is generous or creative is either wise or curious and vice versa. Everyone who is both kind and creative is both rich and strong. If mary is both... | Lucy is creative. | entailment | (((~strong(susan)<~>~creative(susan)))=>(?[X]:((~funny(X)|funny(X)))))&
(((~quiet(susan)&~wise(susan)))=>((old(mary)&~creative(mary))))&
(![X]:((generous(X)|creative(X))<=>(wise(X)<~>curious(X))))&
(![X]:((kind(X)&creative(X))=>(rich(X)&strong(X))))&
(((kind(mary)&~happy(mary)))<=>(calm(lucy)))&
((~generous(mary))=>((f... | creative(lucy) | [
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2062490954842334366455435
% SZS output start Proof for 2062490954842334366455435
9. ? [X0] : funny(X0) => creative(lucy) [input p8]
23. ? [X0] : (funny(X0) & calm(X0)) [input p22]
24. ~creative(lucy) [input hypothesis]
36. creative(lucy) | ! [X0] : ~funny(X0) [ennf transformation 9]
73. ?... | 0 |
Everyone who is either kind or funny is not strong and vice versa.
If someone is either not brave or curious then someone is calm.
If someone is both wise and quiet then someone is not kind or generous.
Everyone who is not tall is either quiet or not patient.
If paul is funny or quiet then lucy is either not rich or no... | John is patient. | neutral | (![X]:((kind(X)<~>funny(X))<=>~strong(X)))&
((?[X]:((~brave(X)<~>curious(X))))=>(?[X]:(calm(X))))&
((?[X]:((wise(X)&quiet(X))))=>(?[X]:((~kind(X)|generous(X)))))&
(![X]:(~tall(X)=>(quiet(X)<~>~patient(X))))&
(((funny(paul)|quiet(paul)))<=>((~rich(lucy)<~>~strong(lucy))))&
(![X]:((~tall(X)&funny(X))<=>~old(X)))&
(![X]:(... | patient(john) | [] | null | 0 |
Everyone who is either not funny or old is not old and vice versa. If mary is both not wise and creative then someone is not strong and vice versa. Everyone who is not generous or not wise is wise or not creative and vice versa. If lucy is quiet or not creative then paul is creative or not funny and vice versa. Everyon... | Paul is not calm. | entailment | (![X]:((~funny(X)<~>old(X))<=>~old(X)))&
(((~wise(mary)&creative(mary)))<=>(?[X]:(~strong(X))))&
(![X]:((~generous(X)|~wise(X))<=>(wise(X)|~creative(X))))&
(((quiet(lucy)|~creative(lucy)))<=>((creative(paul)|~funny(paul))))&
(![X]:((generous(X)|~old(X))<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X... | ~calm(paul) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4090156000161906610352546
% SZS output start Proof for 4090156000161906610352546
2. (creative(mary) & ~wise(mary)) <=> ? [X0] : ~strong(X0) [input p1]
3. ! [X0] : ((~wise(X0) | ~generous(X0)) <=> (~creative(X0) | wise(X0))) [input p2]
11. ! [X0] : ((rich(X0) | calm(X0)) <=> (~strong(X0) &... | 0 |
Everyone who is funny or brave is either tall or patient.
Everyone who is not wise or not strong is both funny and not strong and vice versa.
If someone is generous then paul is both patient and not strong.
Everyone who is both not happy and not humble is both not happy and rich and vice versa.
Everyone who is both hap... | Mary is humble. | entailment | (![X]:((funny(X)|brave(X))=>(tall(X)<~>patient(X))))&
(![X]:((~wise(X)|~strong(X))<=>(funny(X)&~strong(X))))&
((?[X]:(generous(X)))=>((patient(paul)&~strong(paul))))&
(![X]:((~happy(X)&~humble(X))<=>(~happy(X)&rich(X))))&
(![X]:((happy(X)&brave(X))=>(kind(X)<~>~humble(X))))&
((~patient(lucy))=>(quiet(paul)))&
((?[X]:((... | humble(mary) | [
"p0",
"p1",
"p2",
"p6",
"p9",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8972167185986375478165362
% SZS output start Proof for 8972167185986375478165362
1. ! [X0] : ((brave(X0) | funny(X0)) => (tall(X0) <~> patient(X0))) [input p0]
2. ! [X0] : ((~strong(X0) | ~wise(X0)) <=> (~strong(X0) & funny(X0))) [input p1]
3. ? [X0] : generous(X0) => (~strong(paul) & pat... | 0 |
If someone is either not calm or old then mary is patient or not generous and vice versa.
Everyone who is either not rich or not patient is either wise or not strong and vice versa.
Everyone who is either calm or old is both funny and not brave and vice versa.
Everyone who is curious is not curious.
If paul is not funn... | Mary is not patient. | contradiction | ((?[X]:((~calm(X)<~>old(X))))<=>((patient(mary)|~generous(mary))))&
(![X]:((~rich(X)<~>~patient(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((calm(X)<~>old(X))<=>(funny(X)&~brave(X))))&
(![X]:(curious(X)=>~curious(X)))&
((~funny(paul))=>(?[X]:((~patient(X)|strong(X)))))&
(![X]:((~rich(X)<~>funny(X))<=>(wise(X)<~>rich(X))))&
... | ~patient(mary) | [
"p0",
"p9",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7568635980455986421229255
% SZS output start Proof for 7568635980455986421229255
1. ? [X0] : (~calm(X0) <~> old(X0)) <=> (~generous(mary) | patient(mary)) [input p0]
10. ! [X0] : (old(X0) <=> (~humble(X0) & quiet(X0))) [input p9]
14. ! [X0] : ((happy(X0) | ~happy(X0)) => (creative(X0) <~>... | 0 |
Everyone who is either not humble or not brave is both tall and not calm.
Everyone who is either not funny or brave is either not humble or happy.
Everyone who is both old and calm is quiet and vice versa.
Everyone who is either not funny or not patient is both not kind and kind.
Everyone who is not creative is funny.
... | John is quiet. | contradiction | (![X]:((~humble(X)<~>~brave(X))=>(tall(X)&~calm(X))))&
(![X]:((~funny(X)<~>brave(X))=>(~humble(X)<~>happy(X))))&
(![X]:((old(X)&calm(X))<=>quiet(X)))&
(![X]:((~funny(X)<~>~patient(X))=>(~kind(X)&kind(X))))&
(![X]:(~creative(X)=>funny(X)))&
(![X]:((funny(X)&wise(X))<=>(~kind(X)<~>~happy(X))))&
((?[X]:((~kind(X)<~>rich(X... | quiet(john) | [
"p0",
"p2",
"p3",
"p4",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2687894217207292590816802
% SZS output start Proof for 2687894217207292590816802
1. ! [X0] : ((~humble(X0) <~> ~brave(X0)) => (~calm(X0) & tall(X0))) [input p0]
3. ! [X0] : ((calm(X0) & old(X0)) <=> quiet(X0)) [input p2]
4. ! [X0] : ((~funny(X0) <~> ~patient(X0)) => (kind(X0) & ~kind(X0))... | 0 |
If alice is both quiet and not tall then someone is both generous and not kind.
If someone is not quiet or not kind then fred is not curious or happy and vice versa.
If someone is humble then someone is either not tall or not patient.
Everyone who is both rich and not wise is patient or not old.
Everyone who is humble ... | Paul is curious. | contradiction | (((quiet(alice)&~tall(alice)))=>(?[X]:((generous(X)&~kind(X)))))&
((?[X]:((~quiet(X)|~kind(X))))<=>((~curious(fred)|happy(fred))))&
((?[X]:(humble(X)))=>(?[X]:((~tall(X)<~>~patient(X)))))&
(![X]:((rich(X)&~wise(X))=>(patient(X)|~old(X))))&
(![X]:(humble(X)<=>(rich(X)&~humble(X))))&
(![X]:((strong(X)|~generous(X))=>(~fu... | curious(paul) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3989013800257032496762741
% SZS output start Proof for 3989013800257032496762741
5. ! [X0] : (humble(X0) <=> (~humble(X0) & rich(X0))) [input p4]
15. ! [X0] : ((generous(X0) & rich(X0)) <=> (curious(X0) | ~old(X0))) [input p14]
21. curious(paul) [input hypothesis]
44. ! [X0] : ((humble(X0... | 0 |
If someone is generous then susan is not creative or curious.
If someone is not quiet then fred is either not wise or not generous and vice versa.
If someone is both not brave and brave then someone is calm.
If alice is humble or curious then john is either not kind or not calm and vice versa.
Everyone who is happy is ... | Mary is not tall. | neutral | ((?[X]:(generous(X)))=>((~creative(susan)|curious(susan))))&
((?[X]:(~quiet(X)))<=>((~wise(fred)<~>~generous(fred))))&
((?[X]:((~brave(X)&brave(X))))=>(?[X]:(calm(X))))&
(((humble(alice)|curious(alice)))<=>((~kind(john)<~>~calm(john))))&
(![X]:(happy(X)=>humble(X)))&
((?[X]:(~creative(X)))=>(tall(susan)))&
((~kind(susa... | ~tall(mary) | [] | null | 0 |
Everyone who is either old or curious is both not strong and calm and vice versa.
Everyone who is either not strong or strong is either strong or not strong.
If someone is not humble then someone is creative.
Everyone who is both tall and not old is not generous or not quiet.
Everyone who is both generous and not happy... | John is not wise. | contradiction | (![X]:((old(X)<~>curious(X))<=>(~strong(X)&calm(X))))&
(![X]:((~strong(X)<~>strong(X))=>(strong(X)<~>~strong(X))))&
((?[X]:(~humble(X)))=>(?[X]:(creative(X))))&
(![X]:((tall(X)&~old(X))=>(~generous(X)|~quiet(X))))&
(![X]:((generous(X)&~happy(X))=>(~happy(X)<~>~rich(X))))&
(![X]:((kind(X)<~>rich(X))<=>(~old(X)|~funny(X)... | ~wise(john) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p8",
"p9",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8070129164785527887835535
% SZS output start Proof for 8070129164785527887835535
1. ! [X0] : ((old(X0) <~> curious(X0)) <=> (calm(X0) & ~strong(X0))) [input p0]
5. ! [X0] : ((~happy(X0) & generous(X0)) => (~happy(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((kind(X0) <~> rich(X0)) <=> (~fu... | 0 |
Everyone who is either not calm or not kind is both not kind and not strong and vice versa.
Everyone who is rich is wise.
Everyone who is brave is both funny and humble and vice versa.
Everyone who is either not humble or brave is not happy or curious.
If fred is both rich and not calm then someone is either generous o... | Alice is tall. | contradiction | (![X]:((~calm(X)<~>~kind(X))<=>(~kind(X)&~strong(X))))&
(![X]:(rich(X)=>wise(X)))&
(![X]:(brave(X)<=>(funny(X)&humble(X))))&
(![X]:((~humble(X)<~>brave(X))=>(~happy(X)|curious(X))))&
(((rich(fred)&~calm(fred)))=>(?[X]:((generous(X)<~>~humble(X)))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(kind(X)<~>~rich(X))))&
(((~brave(... | tall(alice) | [
"p1",
"p2",
"p6",
"p11",
"p12",
"p13",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8442935211477084411513293
% SZS output start Proof for 8442935211477084411513293
2. ! [X0] : (rich(X0) => wise(X0)) [input p1]
3. ! [X0] : (brave(X0) <=> (humble(X0) & funny(X0))) [input p2]
7. (~brave(lucy) <~> ~strong(lucy)) <=> ? [X0] : (humble(X0) & wise(X0)) [input p6]
12. ! [X0] : (... | 0 |
If someone is creative or strong then paul is both funny and strong and vice versa.
Everyone who is both creative and rich is generous or not tall.
Everyone who is not tall or not happy is tall and vice versa.
Everyone who is not generous or humble is both not calm and not old and vice versa.
If someone is both not fun... | Lucy is kind. | neutral | ((?[X]:((creative(X)|strong(X))))<=>((funny(paul)&strong(paul))))&
(![X]:((creative(X)&rich(X))=>(generous(X)|~tall(X))))&
(![X]:((~tall(X)|~happy(X))<=>tall(X)))&
(![X]:((~generous(X)|humble(X))<=>(~calm(X)&~old(X))))&
((?[X]:((~funny(X)&~quiet(X))))<=>(?[X]:((brave(X)&generous(X)))))&
(![X]:(rich(X)<=>(~patient(X)|ol... | kind(lucy) | [] | null | 0 |
Everyone who is either not generous or strong is both not generous and not rich and vice versa. If lucy is either curious or not calm then mary is not tall or creative and vice versa. Everyone who is not creative is either not happy or happy and vice versa. If fred is not generous then alice is not curious or not stron... | Mary is creative. | contradiction | (![X]:((~generous(X)<~>strong(X))<=>(~generous(X)&~rich(X))))&
(((curious(lucy)<~>~calm(lucy)))<=>((~tall(mary)|creative(mary))))&
(![X]:(~creative(X)<=>(~happy(X)<~>happy(X))))&
((~generous(fred))<=>((~curious(alice)|~strong(alice))))&
(![X]:(humble(X)<=>quiet(X)))&
((?[X]:((~old(X)|~generous(X))))=>(?[X]:(~rich(X))))... | creative(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7646362539843258794908411
% SZS output start Proof for 7646362539843258794908411
3. ! [X0] : (~creative(X0) <=> (~happy(X0) <~> happy(X0))) [input p2]
24. creative(mary) [input hypothesis]
39. ! [X0] : ((~creative(X0) | ((~happy(X0) | ~happy(X0)) & (happy(X0) | happy(X0)))) & (((~happy(X0... | 0 |
Everyone who is funny is both not quiet and curious. If fred is not quiet or not kind then someone is both happy and creative and vice versa. If susan is both strong and not patient then someone is either curious or quiet. Everyone who is creative is funny. Everyone who is not brave is either brave or not happy and vic... | John is kind. | neutral | (![X]:(funny(X)=>(~quiet(X)&curious(X))))&
(((~quiet(fred)|~kind(fred)))<=>(?[X]:((happy(X)&creative(X)))))&
(((strong(susan)&~patient(susan)))=>(?[X]:((curious(X)<~>quiet(X)))))&
(![X]:(creative(X)=>funny(X)))&
(![X]:(~brave(X)<=>(brave(X)<~>~happy(X))))&
(![X]:(~old(X)=>(generous(X)<~>~patient(X))))&
(((patient(lucy)... | kind(john) | [] | null | 0 |
Everyone who is either not calm or not quiet is not brave and vice versa.
If lucy is both not wise and wise then paul is both quiet and not rich and vice versa.
Everyone who is both not funny and not kind is both not creative and happy.
If susan is patient or generous then someone is kind and vice versa.
If fred is ric... | Susan is not brave. | entailment | (![X]:((~calm(X)<~>~quiet(X))<=>~brave(X)))&
(((~wise(lucy)&wise(lucy)))<=>((quiet(paul)&~rich(paul))))&
(![X]:((~funny(X)&~kind(X))=>(~creative(X)&happy(X))))&
(((patient(susan)|generous(susan)))<=>(?[X]:(kind(X))))&
(((rich(fred)|kind(fred)))=>((~humble(mary)|calm(mary))))&
((?[X]:(kind(X)))<=>(?[X]:(quiet(X))))&
((?... | ~brave(susan) | [
"p5",
"p7",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1498638212519864337339413
% SZS output start Proof for 1498638212519864337339413
6. ? [X0] : kind(X0) <=> ? [X0] : quiet(X0) [input p5]
8. ! [X0] : (kind(X0) => ~kind(X0)) [input p7]
9. ? [X0] : (~curious(X0) <~> quiet(X0)) <=> ? [X0] : (brave(X0) | tall(X0)) [input p8]
10. ! [X0] : ((kin... | 0 |
Everyone who is either not strong or old is both strong and not tall. Everyone who is patient or not calm is both not wise and old. If john is funny or curious then lucy is either generous or tall. If someone is not patient then someone is not generous. If someone is kind then someone is either not happy or not strong.... | Mary is not tall. | entailment | (![X]:((~strong(X)<~>old(X))=>(strong(X)&~tall(X))))&
(![X]:((patient(X)|~calm(X))=>(~wise(X)&old(X))))&
(((funny(john)|curious(john)))=>((generous(lucy)<~>tall(lucy))))&
((?[X]:(~patient(X)))=>(?[X]:(~generous(X))))&
((?[X]:(kind(X)))=>(?[X]:((~happy(X)<~>~strong(X)))))&
(![X]:((old(X)<~>~humble(X))<=>(~curious(X)&~pa... | ~tall(mary) | [
"p0",
"p1",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 174250829396319682565482
% SZS output start Proof for 174250829396319682565482
1. ! [X0] : ((~strong(X0) <~> old(X0)) => (~tall(X0) & strong(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | patient(X0)) => (old(X0) & ~wise(X0))) [input p1]
8. rich(mary) => (~calm(mary) & generous(mary)) [input ... | 0 |
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then alice is rich or not curious.
If someone is wise or generous then jo... | Paul is brave. | contradiction | (![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))<=>((~humble(john)<~>rich(john))))&
(![X]:((creative... | brave(paul) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p8",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4908929122737405158965623
% SZS output start Proof for 4908929122737405158965623
1. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~old(X0) | ~kind(X0))) [input p0]
2. ? [X0] : ~creative(X0) => ~curious(fred) [input p1]
6. ! [X0] : ((~wise(X0) | creative(X0)) <=> rich(X0)) [input p5]
7. ! [X0]... | 0 |
If lucy is not brave or not happy then someone is both strong and rich and vice versa.
If lucy is both not happy and not curious then john is both old and not kind and vice versa.
Everyone who is either humble or kind is both brave and humble.
Everyone who is funny or not strong is not patient or not creative.
Everyone... | Fred is wise. | contradiction | (((~brave(lucy)|~happy(lucy)))<=>(?[X]:((strong(X)&rich(X)))))&
(((~happy(lucy)&~curious(lucy)))<=>((old(john)&~kind(john))))&
(![X]:((humble(X)<~>kind(X))=>(brave(X)&humble(X))))&
(![X]:((funny(X)|~strong(X))=>(~patient(X)|~creative(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(generous(X)|~curious(X))))&
(((humble(alice)<~... | wise(fred) | [
"p7",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8731522607978802828182203
% SZS output start Proof for 8731522607978802828182203
8. ! [X0] : ((funny(X0) | wise(X0)) <=> (patient(X0) | ~calm(X0))) [input p7]
11. ! [X0] : ((~strong(X0) & ~creative(X0)) <=> patient(X0)) [input p10]
23. creative(fred) & calm(fred) [input p22]
25. wise(fred... | 0 |
Everyone who is either not happy or funny is both not humble and not old.
If john is either not humble or wise then someone is not wise or not generous.
If alice is either not creative or kind then someone is either not brave or not strong and vice versa.
If someone is either not curious or not wise then mary is both w... | Fred is not calm. | entailment | (![X]:((~happy(X)<~>funny(X))=>(~humble(X)&~old(X))))&
(((~humble(john)<~>wise(john)))=>(?[X]:((~wise(X)|~generous(X)))))&
(((~creative(alice)<~>kind(alice)))<=>(?[X]:((~brave(X)<~>~strong(X)))))&
((?[X]:((~curious(X)<~>~wise(X))))=>((wise(mary)&~wise(mary))))&
(![X]:((tall(X)|humble(X))<=>(patient(X)|old(X))))&
(![X]:... | ~calm(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 707257649980764409362354
% SZS output start Proof for 707257649980764409362354
23. strong(fred) & ~calm(fred) [input p22]
25. calm(fred) [input hypothesis]
152. ~calm(fred) [cnf transformation 23]
155. calm(fred) [cnf transformation 25]
360. $false [subsumption resolution 155,152]
% SZS o... | 0 |
Everyone who is not patient or funny is not humble and vice versa. Everyone who is both not creative and not humble is not creative and vice versa. If someone is both calm and rich then someone is kind or not rich and vice versa. If someone is both funny and patient then mary is both not wise and not brave and vice ver... | John is not tall. | contradiction | (![X]:((~patient(X)|funny(X))<=>~humble(X)))&
(![X]:((~creative(X)&~humble(X))<=>~creative(X)))&
((?[X]:((calm(X)&rich(X))))<=>(?[X]:((kind(X)|~rich(X)))))&
((?[X]:((funny(X)&patient(X))))<=>((~wise(mary)&~brave(mary))))&
(![X]:((~kind(X)<~>~wise(X))=>(calm(X)<~>funny(X))))&
(![X]:((funny(X)|~old(X))<=>(~funny(X)<~>~ol... | ~tall(john) | [
"p0",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 682941789505453539644048
% SZS output start Proof for 682941789505453539644048
1. ! [X0] : ((funny(X0) | ~patient(X0)) <=> ~humble(X0)) [input p0]
6. ! [X0] : ((~old(X0) | funny(X0)) <=> (~funny(X0) <~> ~old(X0))) [input p5]
15. ! [X0] : ((happy(X0) | ~tall(X0)) => humble(X0)) [input p14]... | 0 |
Everyone who is quiet is kind and vice versa.
If susan is both old and kind then someone is both not strong and not creative and vice versa.
Everyone who is not quiet is not creative or not generous.
Everyone who is both curious and not patient is both brave and rich.
Everyone who is generous is either not old or quiet... | Fred is not wise. | neutral | (![X]:(quiet(X)<=>kind(X)))&
(((old(susan)&kind(susan)))<=>(?[X]:((~strong(X)&~creative(X)))))&
(![X]:(~quiet(X)=>(~creative(X)|~generous(X))))&
(![X]:((curious(X)&~patient(X))=>(brave(X)&rich(X))))&
(![X]:(generous(X)=>(~old(X)<~>quiet(X))))&
(![X]:((humble(X)&~calm(X))<=>(happy(X)|kind(X))))&
((?[X]:((generous(X)&~wi... | ~wise(fred) | [] | null | 0 |
If john is not creative then john is kind.
Everyone who is happy or generous is both not brave and not old.
Everyone who is not strong or not happy is both not tall and not old and vice versa.
If someone is creative or not kind then someone is either not patient or funny.
If mary is not strong then susan is not wise or... | Mary is not kind. | neutral | ((~creative(john))=>(kind(john)))&
(![X]:((happy(X)|generous(X))=>(~brave(X)&~old(X))))&
(![X]:((~strong(X)|~happy(X))<=>(~tall(X)&~old(X))))&
((?[X]:((creative(X)|~kind(X))))=>(?[X]:((~patient(X)<~>funny(X)))))&
((~strong(mary))<=>((~wise(susan)|~strong(susan))))&
((?[X]:((patient(X)<~>creative(X))))<=>(?[X]:(~happy(X... | ~kind(mary) | [] | null | 0 |
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