premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If lucy is funny or brave then someone is rich or brave and vice versa. Everyone who is both kind and wise is both kind and not old. Everyone who is creative is curious and vice versa. If mary is humble or not curious then someone is not calm. Everyone who is strong or not quiet is both not creative and happy. Everyone... | Alice is quiet. | entailment | (((funny(lucy)|brave(lucy)))<=>(?[X]:((rich(X)|brave(X)))))&
(![X]:((kind(X)&wise(X))=>(kind(X)&~old(X))))&
(![X]:(creative(X)<=>curious(X)))&
(((humble(mary)|~curious(mary)))=>(?[X]:(~calm(X))))&
(![X]:((strong(X)|~quiet(X))=>(~creative(X)&happy(X))))&
(![X]:(wise(X)=>(~strong(X)<~>~old(X))))&
(![X]:(happy(X)=>(~curio... | quiet(alice) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4616762624409657633543513
% SZS output start Proof for 4616762624409657633543513
5. ! [X0] : ((~quiet(X0) | strong(X0)) => (happy(X0) & ~creative(X0))) [input p4]
19. ~curious(alice) & ~happy(alice) [input p18]
23. ~quiet(alice) [input hypothesis]
33. ! [X0] : ((happy(X0) & ~creative(X0))... | 0 |
Everyone who is either not quiet or tall is both kind and not brave and vice versa.
If alice is not curious or not quiet then someone is funny and vice versa.
Everyone who is calm or not strong is not quiet or not wise and vice versa.
If lucy is humble or strong then someone is either not curious or not happy.
Everyone... | Susan is generous. | entailment | (![X]:((~quiet(X)<~>tall(X))<=>(kind(X)&~brave(X))))&
(((~curious(alice)|~quiet(alice)))<=>(?[X]:(funny(X))))&
(![X]:((calm(X)|~strong(X))<=>(~quiet(X)|~wise(X))))&
(((humble(lucy)|strong(lucy)))=>(?[X]:((~curious(X)<~>~happy(X)))))&
(![X]:(~strong(X)<=>(calm(X)|tall(X))))&
((~funny(john))=>(~curious(alice)))&
((?[X]:(... | generous(susan) | [
"p2",
"p4",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5001755669464180121362408
% SZS output start Proof for 5001755669464180121362408
3. ! [X0] : ((~strong(X0) | calm(X0)) <=> (~wise(X0) | ~quiet(X0))) [input p2]
5. ! [X0] : (~strong(X0) <=> (tall(X0) | calm(X0))) [input p4]
15. ! [X0] : ((quiet(X0) | ~generous(X0)) => (~happy(X0) & strong(... | 0 |
If someone is either not humble or generous then lucy is patient and vice versa.
If fred is either not calm or not wise then someone is both not generous and not funny and vice versa.
Everyone who is either not curious or tall is generous.
If someone is not calm or not wise then lucy is either humble or funny.
If someo... | Lucy is calm. | entailment | ((?[X]:((~humble(X)<~>generous(X))))<=>(patient(lucy)))&
(((~calm(fred)<~>~wise(fred)))<=>(?[X]:((~generous(X)&~funny(X)))))&
(![X]:((~curious(X)<~>tall(X))=>generous(X)))&
((?[X]:((~calm(X)|~wise(X))))=>((humble(lucy)<~>funny(lucy))))&
((?[X]:((~brave(X)<~>~tall(X))))<=>(?[X]:((~curious(X)<~>quiet(X)))))&
(((creative(... | calm(lucy) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4855865391325561227186273
% SZS output start Proof for 4855865391325561227186273
12. ! [X0] : ((~calm(X0) | creative(X0)) => (generous(X0) & creative(X0))) [input p11]
16. ! [X0] : ((kind(X0) | creative(X0)) <=> (~creative(X0) & patient(X0))) [input p15]
24. ~calm(lucy) [input hypothesis]... | 0 |
Everyone who is not old or not brave is both not old and creative and vice versa.
Everyone who is either not quiet or wise is not rich and vice versa.
If someone is either curious or not generous then someone is both funny and not humble and vice versa.
Everyone who is both not curious and not wise is not happy and vic... | Paul is not kind. | neutral | (![X]:((~old(X)|~brave(X))<=>(~old(X)&creative(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>~rich(X)))&
((?[X]:((curious(X)<~>~generous(X))))<=>(?[X]:((funny(X)&~humble(X)))))&
(![X]:((~curious(X)&~wise(X))<=>~happy(X)))&
(((~rich(lucy)<~>patient(lucy)))<=>((curious(lucy)|humble(lucy))))&
(![X]:((kind(X)&old(X))<=>funny(X)))&... | ~kind(paul) | [] | null | 0 |
Everyone who is not brave is not patient. If someone is creative or not patient then someone is patient or not quiet. Everyone who is either patient or old is either not happy or not old. Everyone who is funny or generous is not brave or creative and vice versa. If someone is wise or not tall then someone is not old an... | John is kind. | entailment | (![X]:(~brave(X)=>~patient(X)))&
((?[X]:((creative(X)|~patient(X))))=>(?[X]:((patient(X)|~quiet(X)))))&
(![X]:((patient(X)<~>old(X))=>(~happy(X)<~>~old(X))))&
(![X]:((funny(X)|generous(X))<=>(~brave(X)|creative(X))))&
((?[X]:((wise(X)|~tall(X))))<=>(?[X]:(~old(X))))&
(![X]:(~calm(X)=>~curious(X)))&
(![X]:(~happy(X)<=>c... | kind(john) | [
"p2",
"p5",
"p6",
"p7",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6326886747526354095229352
% SZS output start Proof for 6326886747526354095229352
3. ! [X0] : ((patient(X0) <~> old(X0)) => (~happy(X0) <~> ~old(X0))) [input p2]
6. ! [X0] : (~calm(X0) => ~curious(X0)) [input p5]
7. ! [X0] : (~happy(X0) <=> curious(X0)) [input p6]
8. ! [X0] : ((quiet(X0) <... | 0 |
If someone is quiet then fred is either creative or generous.
Everyone who is both patient and calm is both not rich and not happy and vice versa.
If alice is both humble and not tall then someone is humble.
Everyone who is both happy and not curious is not happy or curious.
Everyone who is not curious is both not gene... | Fred is creative. | neutral | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((patient(X)&calm(X))<=>(~rich(X)&~happy(X))))&
(((humble(alice)&~tall(alice)))=>(?[X]:(humble(X))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((patient(X)<~>funny(X))))<=>(?[X]:((brav... | creative(fred) | [] | null | 0 |
Everyone who is either not kind or brave is patient.
If someone is not generous then lucy is patient or kind and vice versa.
Everyone who is both not creative and not calm is both happy and not funny and vice versa.
If susan is not curious or not calm then someone is both not generous and not calm and vice versa.
Every... | Fred is quiet. | contradiction | (![X]:((~kind(X)<~>brave(X))=>patient(X)))&
((?[X]:(~generous(X)))<=>((patient(lucy)|kind(lucy))))&
(![X]:((~creative(X)&~calm(X))<=>(happy(X)&~funny(X))))&
(((~curious(susan)|~calm(susan)))<=>(?[X]:((~generous(X)&~calm(X)))))&
(![X]:((~wise(X)<~>kind(X))=>(~brave(X)&~humble(X))))&
(![X]:((~kind(X)&rich(X))<=>funny(X))... | quiet(fred) | [
"p2",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 557005314732286034963858
% SZS output start Proof for 557005314732286034963858
3. ! [X0] : ((~calm(X0) & ~creative(X0)) <=> (~funny(X0) & happy(X0))) [input p2]
11. ! [X0] : ((calm(X0) | ~strong(X0)) => (~happy(X0) <~> calm(X0))) [input p10]
15. ! [X0] : (creative(X0) <=> (~quiet(X0) & ~b... | 0 |
Everyone who is not happy is either rich or not curious and vice versa.
Everyone who is either brave or funny is not kind.
Everyone who is not funny or generous is both not humble and not kind and vice versa.
Everyone who is either not rich or curious is both not humble and not curious and vice versa.
If susan is wise ... | Paul is not creative. | contradiction | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~humble(X)&~kind(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~humble(X)&~curious(X))))&
(((wise(susan)|creative(susan)))<=>((~tall(lucy)<~>~patient(lucy))))&
(![X]:(creative(X)<=>(~kind(X)<~>~patient(X... | ~creative(paul) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2560883782327125964508914
% SZS output start Proof for 2560883782327125964508914
2. ! [X0] : ((brave(X0) <~> funny(X0)) => ~kind(X0)) [input p1]
3. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (~kind(X0) & ~humble(X0))) [input p2]
4. ! [X0] : ((~rich(X0) <~> curious(X0)) <=> (~curious(X0) & ... | 0 |
Everyone who is both not generous and strong is not rich or not curious. Everyone who is both not humble and old is quiet and vice versa. Everyone who is either not brave or not happy is either not patient or kind. Everyone who is old or wise is brave or not rich. If lucy is not strong then someone is both not creative... | Susan is funny. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((~humble(X)&old(X))<=>quiet(X)))&
(![X]:((~brave(X)<~>~happy(X))=>(~patient(X)<~>kind(X))))&
(![X]:((old(X)|wise(X))=>(brave(X)|~rich(X))))&
((~strong(lucy))=>(?[X]:((~creative(X)&happy(X)))))&
(![X]:((brave(X)|strong(X))<=>humble(X)))&
(![X]:((humble(X)... | funny(susan) | [] | null | 0 |
If someone is not curious or happy then someone is calm or wise. Everyone who is curious or tall is funny and vice versa. If fred is not happy or kind then someone is both patient and not old and vice versa. Everyone who is both rich and not curious is either happy or kind and vice versa. Everyone who is both not patie... | Lucy is not calm. | contradiction | ((?[X]:((~curious(X)|happy(X))))=>(?[X]:((calm(X)|wise(X)))))&
(![X]:((curious(X)|tall(X))<=>funny(X)))&
(((~happy(fred)|kind(fred)))<=>(?[X]:((patient(X)&~old(X)))))&
(![X]:((rich(X)&~curious(X))<=>(happy(X)<~>kind(X))))&
(![X]:((~patient(X)&strong(X))=>(~rich(X)&generous(X))))&
(![X]:((~brave(X)&funny(X))<=>(patient(... | ~calm(lucy) | [
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6124639257015380024337985
% SZS output start Proof for 6124639257015380024337985
9. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => tall(X0)) [input p8]
11. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (calm(X0) <~> old(X0))) [input p10]
20. old(lucy) [input p19]
22. ~calm(lucy) [input hypothesis]
32... | 0 |
If fred is either patient or not curious then john is strong. Everyone who is not quiet is not rich and vice versa. Everyone who is both creative and not creative is kind and vice versa. Everyone who is both humble and generous is either not tall or not funny and vice versa. Everyone who is humble or not kind is either... | Paul is not curious. | neutral | (((patient(fred)<~>~curious(fred)))=>(strong(john)))&
(![X]:(~quiet(X)<=>~rich(X)))&
(![X]:((creative(X)&~creative(X))<=>kind(X)))&
(![X]:((humble(X)&generous(X))<=>(~tall(X)<~>~funny(X))))&
(![X]:((humble(X)|~kind(X))=>(~strong(X)<~>~quiet(X))))&
(![X]:((rich(X)&patient(X))<=>(tall(X)|happy(X))))&
(![X]:((brave(X)<~>~... | ~curious(paul) | [] | null | 0 |
If someone is either not quiet or happy then paul is either not generous or not wise and vice versa. Everyone who is both curious and calm is not happy or brave and vice versa. If paul is generous then someone is both not funny and generous. If someone is either not strong or not tall then mary is both quiet and not ki... | Mary is funny. | entailment | ((?[X]:((~quiet(X)<~>happy(X))))<=>((~generous(paul)<~>~wise(paul))))&
(![X]:((curious(X)&calm(X))<=>(~happy(X)|brave(X))))&
((generous(paul))=>(?[X]:((~funny(X)&generous(X)))))&
((?[X]:((~strong(X)<~>~tall(X))))=>((quiet(mary)&~kind(mary))))&
(![X]:((old(X)&~generous(X))<=>~funny(X)))&
(![X]:((~quiet(X)|~wise(X))<=>ge... | funny(mary) | [
"p4",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2579199081701497003153272
% SZS output start Proof for 2579199081701497003153272
5. ! [X0] : ((~generous(X0) & old(X0)) <=> ~funny(X0)) [input p4]
6. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> generous(X0)) [input p5]
18. ~wise(mary) [input p17]
24. ~funny(mary) [input hypothesis]
42. ! [X0] ... | 0 |
Everyone who is both creative and not brave is not calm.
Everyone who is both not happy and generous is patient.
If someone is wise or creative then alice is both patient and not calm.
Everyone who is not strong is both not generous and not kind and vice versa.
Everyone who is not strong or not happy is both rich and n... | Alice is wise. | contradiction | (![X]:((creative(X)&~brave(X))=>~calm(X)))&
(![X]:((~happy(X)&generous(X))=>patient(X)))&
((?[X]:((wise(X)|creative(X))))=>((patient(alice)&~calm(alice))))&
(![X]:(~strong(X)<=>(~generous(X)&~kind(X))))&
(![X]:((~strong(X)|~happy(X))=>(rich(X)&~curious(X))))&
(![X]:((~kind(X)|~patient(X))<=>(calm(X)|wise(X))))&
(![X]:(... | wise(alice) | [
"p2",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5647252828609499971205525
% SZS output start Proof for 5647252828609499971205525
3. ? [X0] : (creative(X0) | wise(X0)) => (~calm(alice) & patient(alice)) [input p2]
7. ! [X0] : ((generous(X0) | brave(X0)) <=> (~tall(X0) | tall(X0))) [input p6]
10. ! [X0] : (rich(X0) <=> brave(X0)) [input ... | 0 |
If fred is creative or not generous then someone is brave or old.
Everyone who is brave is wise or kind and vice versa.
If someone is not curious then john is either not strong or not kind.
If someone is either kind or brave then someone is both patient and not strong.
Everyone who is either not kind or not generous is... | Lucy is not quiet. | entailment | (((creative(fred)|~generous(fred)))=>(?[X]:((brave(X)|old(X)))))&
(![X]:(brave(X)<=>(wise(X)|kind(X))))&
((?[X]:(~curious(X)))=>((~strong(john)<~>~kind(john))))&
((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((patient(X)&~strong(X)))))&
(![X]:((~kind(X)<~>~generous(X))=>generous(X)))&
((?[X]:((kind(X)&quiet(X))))<=>(?[X]:((~ol... | ~quiet(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 403279875593153886257281
% SZS output start Proof for 403279875593153886257281
12. ! [X0] : ((~humble(X0) | humble(X0)) => (~patient(X0) & ~quiet(X0))) [input p11]
24. quiet(lucy) [input hypothesis]
36. ! [X0] : ((~patient(X0) & ~quiet(X0)) | (humble(X0) & ~humble(X0))) [ennf transformati... | 0 |
Everyone who is humble or not tall is either kind or generous.
Everyone who is either not patient or not curious is either happy or generous and vice versa.
Everyone who is either tall or not generous is both not wise and patient.
If someone is not funny then susan is kind.
If fred is both not strong and not old then s... | Paul is quiet. | contradiction | (![X]:((humble(X)|~tall(X))=>(kind(X)<~>generous(X))))&
(![X]:((~patient(X)<~>~curious(X))<=>(happy(X)<~>generous(X))))&
(![X]:((tall(X)<~>~generous(X))=>(~wise(X)&patient(X))))&
((?[X]:(~funny(X)))=>(kind(susan)))&
(((~strong(fred)&~old(fred)))<=>(?[X]:(~happy(X))))&
(![X]:((generous(X)<~>~calm(X))=>~quiet(X)))&
(![X]... | quiet(paul) | [
"p2",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 812245659010464636285836
% SZS output start Proof for 812245659010464636285836
3. ! [X0] : ((tall(X0) <~> ~generous(X0)) => (patient(X0) & ~wise(X0))) [input p2]
7. ! [X0] : ((patient(X0) & kind(X0)) <=> (generous(X0) <~> tall(X0))) [input p6]
11. ! [X0] : (patient(X0) => (quiet(X0) <~> b... | 0 |
If mary is both funny and happy then john is curious or generous and vice versa.
Everyone who is not generous is both not tall and not old.
Everyone who is either happy or brave is generous or old and vice versa.
If someone is not wise or tall then fred is not funny or not tall and vice versa.
If someone is both not pa... | John is quiet. | contradiction | (((funny(mary)&happy(mary)))<=>((curious(john)|generous(john))))&
(![X]:(~generous(X)=>(~tall(X)&~old(X))))&
(![X]:((happy(X)<~>brave(X))<=>(generous(X)|old(X))))&
((?[X]:((~wise(X)|tall(X))))<=>((~funny(fred)|~tall(fred))))&
((?[X]:((~patient(X)&creative(X))))=>(brave(susan)))&
(((strong(lucy)|~kind(lucy)))=>(?[X]:((~... | quiet(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8084389719132788950579983
% SZS output start Proof for 8084389719132788950579983
13. ! [X0] : (~strong(X0) <=> (~quiet(X0) <~> strong(X0))) [input p12]
24. quiet(john) [input hypothesis]
60. ! [X0] : ((~strong(X0) | ((~quiet(X0) | ~strong(X0)) & (strong(X0) | quiet(X0)))) & (((~strong(X0)... | 0 |
If someone is either not old or calm then lucy is tall or not calm and vice versa.
Everyone who is both not quiet and generous is either humble or funny and vice versa.
Everyone who is creative or old is both strong and creative and vice versa.
Everyone who is either not patient or creative is calm or old and vice vers... | Fred is creative. | contradiction | ((?[X]:((~old(X)<~>calm(X))))<=>((tall(lucy)|~calm(lucy))))&
(![X]:((~quiet(X)&generous(X))<=>(humble(X)<~>funny(X))))&
(![X]:((creative(X)|old(X))<=>(strong(X)&creative(X))))&
(![X]:((~patient(X)<~>creative(X))<=>(calm(X)|old(X))))&
(![X]:((~patient(X)<~>quiet(X))=>(old(X)|~tall(X))))&
(![X]:((tall(X)<~>patient(X))<=>... | creative(fred) | [
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1094351684221277316837235
% SZS output start Proof for 1094351684221277316837235
7. ? [X0] : ~happy(X0) => ? [X0] : (~funny(X0) & ~rich(X0)) [input p6]
10. ! [X0] : ((~creative(X0) <~> ~generous(X0)) => (kind(X0) & ~happy(X0))) [input p9]
13. ? [X0] : ~rich(X0) <=> generous(lucy) [input p... | 0 |
If someone is wise or strong then paul is either curious or not tall and vice versa.
If someone is patient then someone is both tall and funny and vice versa.
Everyone who is curious is both not patient and not funny and vice versa.
Everyone who is either tall or calm is not calm or not brave and vice versa.
If lucy is... | Susan is not calm. | contradiction | ((?[X]:((wise(X)|strong(X))))<=>((curious(paul)<~>~tall(paul))))&
((?[X]:(patient(X)))<=>(?[X]:((tall(X)&funny(X)))))&
(![X]:(curious(X)<=>(~patient(X)&~funny(X))))&
(![X]:((tall(X)<~>calm(X))<=>(~calm(X)|~brave(X))))&
(((~generous(lucy)|~happy(lucy)))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:((humble(X)&brave(X))<=>(g... | ~calm(susan) | [
"p3",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2397885318704009267146864
% SZS output start Proof for 2397885318704009267146864
4. ! [X0] : ((tall(X0) <~> calm(X0)) <=> (~brave(X0) | ~calm(X0))) [input p3]
7. ! [X0] : ((curious(X0) | ~generous(X0)) <=> funny(X0)) [input p6]
12. ? [X0] : (~calm(X0) | ~rich(X0)) => ? [X0] : (~funny(X0) ... | 0 |
If susan is both rich and happy then someone is brave.
Everyone who is not calm or generous is not kind or tall.
Everyone who is not funny or not quiet is both not patient and not kind and vice versa.
If someone is calm or humble then someone is wise and vice versa.
Everyone who is not tall or tall is generous.
Everyon... | Lucy is quiet. | contradiction | (((rich(susan)&happy(susan)))=>(?[X]:(brave(X))))&
(![X]:((~calm(X)|generous(X))=>(~kind(X)|tall(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(~patient(X)&~kind(X))))&
((?[X]:((calm(X)|humble(X))))<=>(?[X]:(wise(X))))&
(![X]:((~tall(X)|tall(X))=>generous(X)))&
(![X]:(~creative(X)<=>(quiet(X)<~>happy(X))))&
(((creative(lucy)|c... | quiet(lucy) | [
"p4",
"p5",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5843209547294228541374200
% SZS output start Proof for 5843209547294228541374200
5. ! [X0] : ((tall(X0) | ~tall(X0)) => generous(X0)) [input p4]
6. ! [X0] : (~creative(X0) <=> (quiet(X0) <~> happy(X0))) [input p5]
9. ! [X0] : (happy(X0) => ~quiet(X0)) [input p8]
12. ! [X0] : (~creative(X0... | 0 |
Everyone who is not funny or funny is both creative and generous and vice versa. If someone is quiet or not humble then alice is either happy or not funny and vice versa. Everyone who is wise or not rich is either generous or funny. Everyone who is both humble and not calm is both calm and not brave. Everyone who is br... | Lucy is not happy. | entailment | (![X]:((~funny(X)|funny(X))<=>(creative(X)&generous(X))))&
((?[X]:((quiet(X)|~humble(X))))<=>((happy(alice)<~>~funny(alice))))&
(![X]:((wise(X)|~rich(X))=>(generous(X)<~>funny(X))))&
(![X]:((humble(X)&~calm(X))=>(calm(X)&~brave(X))))&
(![X]:(brave(X)<=>(~tall(X)<~>calm(X))))&
(![X]:((~quiet(X)|happy(X))<=>(~wise(X)&gen... | ~happy(lucy) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3473023486387579162910711
% SZS output start Proof for 3473023486387579162910711
6. ! [X0] : ((happy(X0) | ~quiet(X0)) <=> (generous(X0) & ~wise(X0))) [input p5]
17. wise(lucy) & ~rich(lucy) [input p16]
25. happy(lucy) [input hypothesis]
48. ! [X0] : (((happy(X0) | ~quiet(X0)) | (~generou... | 0 |
If someone is both strong and not happy then susan is not brave. Everyone who is either brave or not creative is kind and vice versa. Everyone who is both not old and quiet is happy. If lucy is both quiet and not wise then mary is both wise and not patient. Everyone who is creative or humble is either not patient or ri... | Lucy is patient. | contradiction | ((?[X]:((strong(X)&~happy(X))))=>(~brave(susan)))&
(![X]:((brave(X)<~>~creative(X))<=>kind(X)))&
(![X]:((~old(X)&quiet(X))=>happy(X)))&
(((quiet(lucy)&~wise(lucy)))=>((wise(mary)&~patient(mary))))&
(![X]:((creative(X)|humble(X))=>(~patient(X)<~>rich(X))))&
(![X]:((~creative(X)<~>generous(X))=>~brave(X)))&
(![X]:(brave(... | patient(lucy) | [
"p4",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2390803591208282699249570
% SZS output start Proof for 2390803591208282699249570
5. ! [X0] : ((humble(X0) | creative(X0)) => (~patient(X0) <~> rich(X0))) [input p4]
10. ! [X0] : ((patient(X0) & ~brave(X0)) <=> (brave(X0) & ~wise(X0))) [input p9]
12. ! [X0] : ((~tall(X0) | patient(X0)) => ... | 0 |
If someone is either curious or strong then someone is both not old and not curious and vice versa.
Everyone who is not quiet is curious and vice versa.
If someone is either rich or brave then alice is either funny or wise and vice versa.
Everyone who is not strong is both wise and not kind.
Everyone who is either not ... | Mary is not old. | contradiction | ((?[X]:((curious(X)<~>strong(X))))<=>(?[X]:((~old(X)&~curious(X)))))&
(![X]:(~quiet(X)<=>curious(X)))&
((?[X]:((rich(X)<~>brave(X))))<=>((funny(alice)<~>wise(alice))))&
(![X]:(~strong(X)=>(wise(X)&~kind(X))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
((?[X]:(~wise(X)))=>(?[X]:((~brave(X)<~>creative... | ~old(mary) | [
"p3",
"p6",
"p7",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8550811848278518440404874
% SZS output start Proof for 8550811848278518440404874
4. ! [X0] : (~strong(X0) => (~kind(X0) & wise(X0))) [input p3]
7. ! [X0] : (rich(X0) <=> (wise(X0) <~> happy(X0))) [input p6]
8. ! [X0] : (~rich(X0) <=> ~old(X0)) [input p7]
9. ? [X0] : ~generous(X0) <=> ? [X... | 0 |
If paul is not quiet or not rich then alice is rich or not calm. Everyone who is either not creative or calm is not curious or kind and vice versa. Everyone who is not calm or not quiet is not strong or quiet and vice versa. Everyone who is either not curious or humble is patient or rich. Everyone who is either not old... | Alice is humble. | entailment | (((~quiet(paul)|~rich(paul)))=>((rich(alice)|~calm(alice))))&
(![X]:((~creative(X)<~>calm(X))<=>(~curious(X)|kind(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~strong(X)|quiet(X))))&
(![X]:((~curious(X)<~>humble(X))=>(patient(X)|rich(X))))&
(![X]:((~old(X)<~>generous(X))<=>~calm(X)))&
(![X]:((brave(X)|~quiet(X))<=>(humble(X)|... | humble(alice) | [
"p1",
"p2",
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2514337928386437867451022
% SZS output start Proof for 2514337928386437867451022
2. ! [X0] : ((~creative(X0) <~> calm(X0)) <=> (kind(X0) | ~curious(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) | ~calm(X0)) <=> (quiet(X0) | ~strong(X0))) [input p2]
6. ! [X0] : ((~quiet(X0) | brave(X0)) <=> (~... | 0 |
Everyone who is not happy is either not calm or brave.
If mary is either not strong or tall then someone is not happy or not quiet and vice versa.
If someone is not wise or not old then someone is not tall or generous and vice versa.
If someone is either not wise or wise then lucy is kind or wise and vice versa.
Everyo... | Lucy is old. | entailment | (![X]:(~happy(X)=>(~calm(X)<~>brave(X))))&
(((~strong(mary)<~>tall(mary)))<=>(?[X]:((~happy(X)|~quiet(X)))))&
((?[X]:((~wise(X)|~old(X))))<=>(?[X]:((~tall(X)|generous(X)))))&
((?[X]:((~wise(X)<~>wise(X))))<=>((kind(lucy)|wise(lucy))))&
(![X]:((~old(X)|generous(X))=>~old(X)))&
(![X]:((patient(X)&~happy(X))=>(~tall(X)<~>... | old(lucy) | [
"p8",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8775472653271096015559846
% SZS output start Proof for 8775472653271096015559846
9. ! [X0] : ((strong(X0) & ~rich(X0)) <=> tall(X0)) [input p8]
13. ! [X0] : ((~tall(X0) & tall(X0)) <=> (~strong(X0) | rich(X0))) [input p12]
24. old(lucy) <~> ~tall(lucy) [input p23]
25. ~old(lucy) [input hy... | 0 |
Everyone who is either patient or funny is strong and vice versa. If paul is either not old or brave then fred is either creative or happy. Everyone who is wise is not curious or quiet and vice versa. If paul is happy then someone is not humble. Everyone who is either happy or not rich is creative or not tall. If alice... | Mary is old. | contradiction | (![X]:((patient(X)<~>funny(X))<=>strong(X)))&
(((~old(paul)<~>brave(paul)))=>((creative(fred)<~>happy(fred))))&
(![X]:(wise(X)<=>(~curious(X)|quiet(X))))&
((happy(paul))=>(?[X]:(~humble(X))))&
(![X]:((happy(X)<~>~rich(X))=>(creative(X)|~tall(X))))&
((happy(alice))=>(~wise(mary)))&
(![X]:((rich(X)|kind(X))=>(generous(X)... | old(mary) | [
"p0",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3064666869444825381598088
% SZS output start Proof for 3064666869444825381598088
1. ! [X0] : ((patient(X0) <~> funny(X0)) <=> strong(X0)) [input p0]
11. ! [X0] : (~old(X0) <=> (funny(X0) | quiet(X0))) [input p10]
14. ! [X0] : ((~patient(X0) | ~strong(X0)) <=> (~quiet(X0) | creative(X0))) ... | 0 |
Everyone who is not brave is not kind or not funny and vice versa. Everyone who is both not generous and happy is either not brave or not happy and vice versa. Everyone who is both tall and humble is not curious or not brave and vice versa. Everyone who is not patient or happy is not calm or not tall and vice versa. Ev... | Alice is not strong. | neutral | (![X]:(~brave(X)<=>(~kind(X)|~funny(X))))&
(![X]:((~generous(X)&happy(X))<=>(~brave(X)<~>~happy(X))))&
(![X]:((tall(X)&humble(X))<=>(~curious(X)|~brave(X))))&
(![X]:((~patient(X)|happy(X))<=>(~calm(X)|~tall(X))))&
(![X]:((~funny(X)&~strong(X))=>(humble(X)|wise(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~generous(X)&humble... | ~strong(alice) | [] | null | 0 |
If someone is either happy or funny then fred is not quiet or not funny and vice versa. Everyone who is both not happy and not quiet is either wise or not happy and vice versa. Everyone who is either not wise or not brave is both curious and not strong. If fred is old then lucy is either wise or not creative and vice v... | Alice is not funny. | contradiction | ((?[X]:((happy(X)<~>funny(X))))<=>((~quiet(fred)|~funny(fred))))&
(![X]:((~happy(X)&~quiet(X))<=>(wise(X)<~>~happy(X))))&
(![X]:((~wise(X)<~>~brave(X))=>(curious(X)&~strong(X))))&
((old(fred))<=>((wise(lucy)<~>~creative(lucy))))&
(![X]:((brave(X)<~>tall(X))=>(wise(X)&~brave(X))))&
(((generous(susan)&~generous(susan)))<... | ~funny(alice) | [
"p1",
"p5",
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 460343008697929867531132
% SZS output start Proof for 460343008697929867531132
2. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (wise(X0) <~> ~happy(X0))) [input p1]
6. (~generous(susan) & generous(susan)) <=> ? [X0] : (generous(X0) | strong(X0)) [input p5]
8. ! [X0] : ((generous(X0) | ~wise(X0... | 0 |
Everyone who is not patient or funny is strong. If someone is calm then fred is tall or funny. Everyone who is humble is kind and vice versa. If someone is not generous then someone is funny and vice versa. Everyone who is quiet or not creative is wise or calm and vice versa. If paul is not creative then paul is not hu... | Susan is humble. | entailment | (![X]:((~patient(X)|funny(X))=>strong(X)))&
((?[X]:(calm(X)))=>((tall(fred)|funny(fred))))&
(![X]:(humble(X)<=>kind(X)))&
((?[X]:(~generous(X)))<=>(?[X]:(funny(X))))&
(![X]:((quiet(X)|~creative(X))<=>(wise(X)|calm(X))))&
((~creative(paul))<=>(~humble(paul)))&
(![X]:((funny(X)&kind(X))<=>(wise(X)<~>~happy(X))))&
(((tall... | humble(susan) | [
"p2",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 639937653763279579979104
% SZS output start Proof for 639937653763279579979104
3. ! [X0] : (humble(X0) <=> kind(X0)) [input p2]
9. ! [X0] : ((tall(X0) | generous(X0)) => (humble(X0) & ~creative(X0))) [input p8]
15. ! [X0] : ((tall(X0) | kind(X0)) <=> (~happy(X0) <~> happy(X0))) [input p14... | 0 |
If someone is both not happy and happy then someone is both generous and curious and vice versa.
Everyone who is both kind and not happy is both calm and rich.
If someone is both quiet and not calm then lucy is either not quiet or not funny and vice versa.
Everyone who is not wise is not calm.
Everyone who is rich is p... | Alice is tall. | entailment | ((?[X]:((~happy(X)&happy(X))))<=>(?[X]:((generous(X)&curious(X)))))&
(![X]:((kind(X)&~happy(X))=>(calm(X)&rich(X))))&
((?[X]:((quiet(X)&~calm(X))))<=>((~quiet(lucy)<~>~funny(lucy))))&
(![X]:(~wise(X)=>~calm(X)))&
(![X]:(rich(X)<=>patient(X)))&
(![X]:((creative(X)|humble(X))=>~tall(X)))&
(![X]:((~brave(X)<~>humble(X))=>... | tall(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 155788243597194853870802
% SZS output start Proof for 155788243597194853870802
16. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & tall(X0))) [input p15]
24. ~tall(alice) [input hypothesis]
60. ! [X0] : (((strong(X0) | ~strong(X0)) | (~rich(X0) | ~tall(X0))) & ((rich(X0) & tall(X0)) ... | 0 |
Everyone who is both happy and not creative is both patient and funny and vice versa.
If someone is either strong or not patient then someone is not old or patient and vice versa.
If john is not happy then paul is not humble or not generous.
If someone is humble or funny then paul is not strong.
If someone is brave or ... | Lucy is not calm. | neutral | (![X]:((happy(X)&~creative(X))<=>(patient(X)&funny(X))))&
((?[X]:((strong(X)<~>~patient(X))))<=>(?[X]:((~old(X)|patient(X)))))&
((~happy(john))=>((~humble(paul)|~generous(paul))))&
((?[X]:((humble(X)|funny(X))))=>(~strong(paul)))&
((?[X]:((brave(X)|strong(X))))<=>((creative(paul)|~brave(paul))))&
((?[X]:((kind(X)|gener... | ~calm(lucy) | [] | null | 0 |
If mary is not creative then someone is either not wise or patient and vice versa. Everyone who is either not wise or kind is not calm and vice versa. If john is humble then john is not quiet. Everyone who is either old or not generous is strong and vice versa. If lucy is either rich or not curious then alice is either... | Alice is not calm. | contradiction | ((~creative(mary))<=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:((~wise(X)<~>kind(X))<=>~calm(X)))&
((humble(john))=>(~quiet(john)))&
(![X]:((old(X)<~>~generous(X))<=>strong(X)))&
(((rich(lucy)<~>~curious(lucy)))=>((~rich(alice)<~>~creative(alice))))&
((?[X]:((~happy(X)<~>~humble(X))))=>(patient(paul)))&
(![X]:((strong(X... | ~calm(alice) | [
"p8",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9181579032292408896393376
% SZS output start Proof for 9181579032292408896393376
9. ! [X0] : ((kind(X0) | calm(X0)) <=> (~patient(X0) <~> funny(X0))) [input p8]
19. ~kind(alice) <~> funny(alice) [input p18]
23. ~quiet(alice) & ~patient(alice) [input p22]
25. ~calm(alice) [input hypothesis... | 0 |
If someone is not calm then susan is either not kind or happy and vice versa.
If paul is not wise then mary is not tall and vice versa.
If fred is either humble or old then someone is not brave and vice versa.
If someone is both old and not rich then someone is either not brave or strong and vice versa.
Everyone who is... | Fred is not old. | neutral | ((?[X]:(~calm(X)))<=>((~kind(susan)<~>happy(susan))))&
((~wise(paul))<=>(~tall(mary)))&
(((humble(fred)<~>old(fred)))<=>(?[X]:(~brave(X))))&
((?[X]:((old(X)&~rich(X))))<=>(?[X]:((~brave(X)<~>strong(X)))))&
(![X]:((patient(X)&~kind(X))=>(calm(X)&~kind(X))))&
(![X]:((brave(X)<~>~rich(X))<=>(creative(X)|happy(X))))&
(((cu... | ~old(fred) | [] | null | 0 |
Everyone who is not brave is old. Everyone who is not calm is both funny and not patient. If someone is not curious or generous then lucy is either curious or kind. Everyone who is either calm or not funny is not kind or not brave and vice versa. Everyone who is humble or not creative is either patient or happy. If joh... | Lucy is generous. | contradiction | (![X]:(~brave(X)=>old(X)))&
(![X]:(~calm(X)=>(funny(X)&~patient(X))))&
((?[X]:((~curious(X)|generous(X))))=>((curious(lucy)<~>kind(lucy))))&
(![X]:((calm(X)<~>~funny(X))<=>(~kind(X)|~brave(X))))&
(![X]:((humble(X)|~creative(X))=>(patient(X)<~>happy(X))))&
(((~humble(john)|strong(john)))=>(?[X]:(~happy(X))))&
((?[X]:((~... | generous(lucy) | [
"p2",
"p8",
"p10",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 169736115471492950393546
% SZS output start Proof for 169736115471492950393546
3. ? [X0] : (generous(X0) | ~curious(X0)) => (curious(lucy) <~> kind(lucy)) [input p2]
9. ! [X0] : ((~quiet(X0) <~> ~kind(X0)) <=> (happy(X0) <~> ~kind(X0))) [input p8]
11. ! [X0] : ((happy(X0) | ~kind(X0)) => ... | 0 |
Everyone who is not curious or not wise is both quiet and not brave and vice versa.
Everyone who is not patient or funny is either not kind or not humble and vice versa.
If someone is either wise or not funny then john is humble or rich.
If john is either not kind or not quiet then someone is funny and vice versa.
Ever... | Lucy is quiet. | contradiction | (![X]:((~curious(X)|~wise(X))<=>(quiet(X)&~brave(X))))&
(![X]:((~patient(X)|funny(X))<=>(~kind(X)<~>~humble(X))))&
((?[X]:((wise(X)<~>~funny(X))))=>((humble(john)|rich(john))))&
(((~kind(john)<~>~quiet(john)))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|~curious(X))<=>~quiet(X)))&
((?[X]:(creative(X)))=>(~quiet(lucy)))&
((?... | quiet(lucy) | [
"p5",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2203283484231455990254006
% SZS output start Proof for 2203283484231455990254006
6. ? [X0] : creative(X0) => ~quiet(lucy) [input p5]
12. ! [X0] : ((generous(X0) & tall(X0)) <=> (~tall(X0) & old(X0))) [input p11]
16. ! [X0] : ((creative(X0) & ~calm(X0)) <=> ~generous(X0)) [input p15]
18. ?... | 0 |
If john is not creative then john is both not brave and not tall and vice versa.
Everyone who is either not strong or not quiet is both old and brave and vice versa.
Everyone who is not patient or wise is both not wise and not funny.
Everyone who is funny is both calm and funny and vice versa.
Everyone who is both not ... | Mary is not wise. | entailment | ((~creative(john))<=>((~brave(john)&~tall(john))))&
(![X]:((~strong(X)<~>~quiet(X))<=>(old(X)&brave(X))))&
(![X]:((~patient(X)|wise(X))=>(~wise(X)&~funny(X))))&
(![X]:(funny(X)<=>(calm(X)&funny(X))))&
(![X]:((~happy(X)&~humble(X))<=>(~creative(X)|calm(X))))&
(![X]:(happy(X)=>(generous(X)|happy(X))))&
((~strong(lucy))=>... | ~wise(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2605833887486558719305928
% SZS output start Proof for 2605833887486558719305928
3. ! [X0] : ((wise(X0) | ~patient(X0)) => (~funny(X0) & ~wise(X0))) [input p2]
22. wise(mary) [input hypothesis]
25. ! [X0] : ((~funny(X0) & ~wise(X0)) | (~wise(X0) & patient(X0))) [ennf transformation 3]
78.... | 0 |
Everyone who is either not strong or not rich is either not generous or curious and vice versa. Everyone who is either brave or curious is not creative and vice versa. If someone is not happy or not kind then alice is quiet or not quiet. If alice is both patient and wise then someone is both tall and not quiet and vice... | Paul is humble. | contradiction | (![X]:((~strong(X)<~>~rich(X))<=>(~generous(X)<~>curious(X))))&
(![X]:((brave(X)<~>curious(X))<=>~creative(X)))&
((?[X]:((~happy(X)|~kind(X))))=>((quiet(alice)|~quiet(alice))))&
(((patient(alice)&wise(alice)))<=>(?[X]:((tall(X)&~quiet(X)))))&
((humble(mary))<=>(?[X]:((~rich(X)&~calm(X)))))&
(![X]:((happy(X)|~calm(X))=>... | humble(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8315605855275776055466657
% SZS output start Proof for 8315605855275776055466657
7. ! [X0] : ((~brave(X0) | humble(X0)) => (~humble(X0) & ~creative(X0))) [input p6]
24. humble(paul) [input hypothesis]
31. ! [X0] : ((~humble(X0) & ~creative(X0)) | (brave(X0) & ~humble(X0))) [ennf transform... | 0 |
Everyone who is not rich or creative is patient or not old and vice versa. If susan is either not funny or kind then someone is either not rich or calm and vice versa. Everyone who is either not patient or tall is generous or kind. Everyone who is kind is generous. Everyone who is not quiet is either not humble or humb... | Lucy is happy. | neutral | (![X]:((~rich(X)|creative(X))<=>(patient(X)|~old(X))))&
(((~funny(susan)<~>kind(susan)))<=>(?[X]:((~rich(X)<~>calm(X)))))&
(![X]:((~patient(X)<~>tall(X))=>(generous(X)|kind(X))))&
(![X]:(kind(X)=>generous(X)))&
(![X]:(~quiet(X)<=>(~humble(X)<~>humble(X))))&
(![X]:((~generous(X)|tall(X))<=>(~happy(X)|patient(X))))&
((~r... | happy(lucy) | [] | null | 0 |
Everyone who is not generous or patient is both not kind and not creative. If someone is either tall or not rich then someone is either not strong or not tall and vice versa. If someone is calm or tall then someone is both not calm and not quiet. Everyone who is either wise or not funny is not happy and vice versa. If ... | Lucy is not curious. | entailment | (![X]:((~generous(X)|patient(X))=>(~kind(X)&~creative(X))))&
((?[X]:((tall(X)<~>~rich(X))))<=>(?[X]:((~strong(X)<~>~tall(X)))))&
((?[X]:((calm(X)|tall(X))))=>(?[X]:((~calm(X)&~quiet(X)))))&
(![X]:((wise(X)<~>~funny(X))<=>~happy(X)))&
((?[X]:((patient(X)|~kind(X))))=>((~creative(mary)&strong(mary))))&
((?[X]:((~generous... | ~curious(lucy) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2314839483014150492894803
% SZS output start Proof for 2314839483014150492894803
1. ! [X0] : ((patient(X0) | ~generous(X0)) => (~creative(X0) & ~kind(X0))) [input p0]
5. ? [X0] : (~kind(X0) | patient(X0)) => (strong(mary) & ~creative(mary)) [input p4]
7. ! [X0] : ((~funny(X0) | ~creative(... | 0 |
If john is not quiet then alice is not patient and vice versa.
If someone is patient then fred is both not patient and generous and vice versa.
If fred is both happy and not quiet then mary is not curious or not old.
Everyone who is both not kind and not generous is happy.
If someone is not funny then lucy is both rich... | Paul is not old. | contradiction | ((~quiet(john))<=>(~patient(alice)))&
((?[X]:(patient(X)))<=>((~patient(fred)&generous(fred))))&
(((happy(fred)&~quiet(fred)))=>((~curious(mary)|~old(mary))))&
(![X]:((~kind(X)&~generous(X))=>happy(X)))&
((?[X]:(~funny(X)))=>((rich(lucy)&~creative(lucy))))&
(((~creative(lucy)|rich(lucy)))<=>(~tall(alice)))&
((?[X]:((~k... | ~old(paul) | [
"p1",
"p12",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6690869472156564867844093
% SZS output start Proof for 6690869472156564867844093
2. ? [X0] : patient(X0) <=> (generous(fred) & ~patient(fred)) [input p1]
13. ! [X0] : ((strong(X0) & humble(X0)) <=> (kind(X0) | patient(X0))) [input p12]
14. ? [X0] : (~kind(X0) <~> patient(X0)) => patient(f... | 0 |
If paul is either quiet or not curious then someone is either not curious or not old and vice versa.
If mary is either calm or quiet then someone is not happy or old and vice versa.
If john is kind or old then someone is both tall and not kind and vice versa.
Everyone who is either wise or not tall is either happy or c... | John is not wise. | contradiction | (((quiet(paul)<~>~curious(paul)))<=>(?[X]:((~curious(X)<~>~old(X)))))&
(((calm(mary)<~>quiet(mary)))<=>(?[X]:((~happy(X)|old(X)))))&
(((kind(john)|old(john)))<=>(?[X]:((tall(X)&~kind(X)))))&
(![X]:((wise(X)<~>~tall(X))<=>(happy(X)<~>curious(X))))&
((?[X]:(strong(X)))=>((creative(lucy)&~strong(lucy))))&
(((creative(mary... | ~wise(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2595262908106113236841490
% SZS output start Proof for 2595262908106113236841490
7. ! [X0] : ((quiet(X0) <~> ~wise(X0)) <=> quiet(X0)) [input p6]
25. ~wise(john) [input hypothesis]
54. ! [X0] : ((((wise(X0) | ~quiet(X0)) & (~wise(X0) | quiet(X0))) | ~quiet(X0)) & (quiet(X0) | ((quiet(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... | John is not calm. | 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)))))&
((... | ~calm(john) | [
"p0",
"p1",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7837793874032734723123532
% SZS output start Proof for 7837793874032734723123532
1. ! [X0] : ((~strong(X0) <~> happy(X0)) <=> (~strong(X0) <~> tall(X0))) [input p0]
2. ! [X0] : ((~funny(X0) & creative(X0)) <=> calm(X0)) [input p1]
10. ! [X0] : ((creative(X0) <~> tall(X0)) => (humble(X0) &... | 0 |
Everyone who is both not brave and brave is not funny and vice versa.
If lucy is funny then fred is both tall and strong and vice versa.
Everyone who is calm or brave is both curious and not happy.
If john is either not brave or not generous then someone is not rich and vice versa.
If someone is patient then paul is no... | John is tall. | neutral | (![X]:((~brave(X)&brave(X))<=>~funny(X)))&
((funny(lucy))<=>((tall(fred)&strong(fred))))&
(![X]:((calm(X)|brave(X))=>(curious(X)&~happy(X))))&
(((~brave(john)<~>~generous(john)))<=>(?[X]:(~rich(X))))&
((?[X]:(patient(X)))<=>(~funny(paul)))&
((?[X]:((~generous(X)|calm(X))))<=>((~creative(lucy)&strong(lucy))))&
(![X]:((~... | tall(john) | [] | null | 0 |
Everyone who is both not patient and old is not humble. Everyone who is both brave and not quiet is calm and vice versa. Everyone who is quiet or not curious is rich. If someone is either wise or calm then someone is both not funny and not happy. Everyone who is not humble is either calm or brave and vice versa. Everyo... | Paul is calm. | contradiction | (![X]:((~patient(X)&old(X))=>~humble(X)))&
(![X]:((brave(X)&~quiet(X))<=>calm(X)))&
(![X]:((quiet(X)|~curious(X))=>rich(X)))&
((?[X]:((wise(X)<~>calm(X))))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:(~humble(X)<=>(calm(X)<~>brave(X))))&
(![X]:((~calm(X)|calm(X))=>(~strong(X)|~wise(X))))&
(![X]:((rich(X)&happy(X))=>(~happy... | calm(paul) | [
"p1",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6146153339911883622389849
% SZS output start Proof for 6146153339911883622389849
2. ! [X0] : ((~quiet(X0) & brave(X0)) <=> calm(X0)) [input p1]
5. ! [X0] : (~humble(X0) <=> (calm(X0) <~> brave(X0))) [input p4]
10. ! [X0] : ((humble(X0) <~> patient(X0)) <=> (patient(X0) | ~calm(X0))) [inpu... | 0 |
Everyone who is either not patient or brave is not strong and vice versa.
Everyone who is either calm or not creative is either old or curious.
Everyone who is either old or tall is not funny or patient and vice versa.
If john is both brave and not old then someone is not happy or calm.
Everyone who is either curious o... | Mary is tall. | contradiction | (![X]:((~patient(X)<~>brave(X))<=>~strong(X)))&
(![X]:((calm(X)<~>~creative(X))=>(old(X)<~>curious(X))))&
(![X]:((old(X)<~>tall(X))<=>(~funny(X)|patient(X))))&
(((brave(john)&~old(john)))=>(?[X]:((~happy(X)|calm(X)))))&
(![X]:((curious(X)<~>~generous(X))=>(creative(X)&~humble(X))))&
(![X]:((~curious(X)&patient(X))<=>(c... | tall(mary) | [
"p4",
"p5",
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6024761783090573338591334
% SZS output start Proof for 6024761783090573338591334
5. ! [X0] : ((curious(X0) <~> ~generous(X0)) => (~humble(X0) & creative(X0))) [input p4]
6. ! [X0] : ((patient(X0) & ~curious(X0)) <=> (generous(X0) | calm(X0))) [input p5]
7. ! [X0] : ((~humble(X0) | ~old(X0... | 0 |
If someone is wise then susan is not kind or not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong then... | Fred is strong. | entailment | ((?[X]:(wise(X)))=>((~kind(susan)|~wise(susan))))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(... | strong(fred) | [
"p1",
"p2",
"p3",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2577316170954057342602471
% SZS output start Proof for 2577316170954057342602471
2. ! [X0] : ((~humble(X0) | happy(X0)) => (humble(X0) | patient(X0))) [input p1]
3. ! [X0] : ((tall(X0) | ~brave(X0)) <=> (~humble(X0) & ~patient(X0))) [input p2]
4. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~tall... | 0 |
If susan is patient or not rich then someone is kind or not funny and vice versa.
Everyone who is both not brave and not creative is both not quiet and curious.
Everyone who is patient or quiet is either generous or wise and vice versa.
Everyone who is both not strong and not funny is not brave.
Everyone who is both ri... | Susan is wise. | neutral | (((patient(susan)|~rich(susan)))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((~brave(X)&~creative(X))=>(~quiet(X)&curious(X))))&
(![X]:((patient(X)|quiet(X))<=>(generous(X)<~>wise(X))))&
(![X]:((~strong(X)&~funny(X))=>~brave(X)))&
(![X]:((rich(X)&strong(X))=>(~old(X)|~tall(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>~strong(X... | wise(susan) | [] | null | 0 |
If someone is generous or funny then someone is both quiet and creative. Everyone who is happy is either patient or wise. If susan is not rich or curious then someone is both not brave and rich and vice versa. Everyone who is not humble or not happy is brave and vice versa. Everyone who is not creative or humble is bot... | Mary is strong. | entailment | ((?[X]:((generous(X)|funny(X))))=>(?[X]:((quiet(X)&creative(X)))))&
(![X]:(happy(X)=>(patient(X)<~>wise(X))))&
(((~rich(susan)|curious(susan)))<=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((~humble(X)|~happy(X))<=>brave(X)))&
(![X]:((~creative(X)|humble(X))=>(~tall(X)&tall(X))))&
((?[X]:((old(X)<~>~happy(X))))=>((humble(ali... | strong(mary) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4521815207287726265107807
% SZS output start Proof for 4521815207287726265107807
4. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> brave(X0)) [input p3]
5. ! [X0] : ((humble(X0) | ~creative(X0)) => (tall(X0) & ~tall(X0))) [input p4]
7. (patient(paul) <~> ~humble(paul)) => ? [X0] : (~brave(X0) <... | 0 |
If mary is either patient or not funny then paul is both creative and generous. Everyone who is brave or curious is either not humble or not old. If someone is humble then alice is both not creative and not calm and vice versa. If alice is quiet then someone is not wise and vice versa. If someone is strong or not funny... | Fred is not funny. | neutral | (((patient(mary)<~>~funny(mary)))=>((creative(paul)&generous(paul))))&
(![X]:((brave(X)|curious(X))=>(~humble(X)<~>~old(X))))&
((?[X]:(humble(X)))<=>((~creative(alice)&~calm(alice))))&
((quiet(alice))<=>(?[X]:(~wise(X))))&
((?[X]:((strong(X)|~funny(X))))<=>(?[X]:(~creative(X))))&
(((~creative(alice)|patient(alice)))<=>... | ~funny(fred) | [] | null | 0 |
If someone is either kind or not happy then lucy is both not rich and old and vice versa. Everyone who is rich or not kind is both not happy and not creative and vice versa. If someone is curious or generous then susan is either patient or old. Everyone who is humble or not old is not humble or happy. If paul is not ri... | Fred is not funny. | contradiction | ((?[X]:((kind(X)<~>~happy(X))))<=>((~rich(lucy)&old(lucy))))&
(![X]:((rich(X)|~kind(X))<=>(~happy(X)&~creative(X))))&
((?[X]:((curious(X)|generous(X))))=>((patient(susan)<~>old(susan))))&
(![X]:((humble(X)|~old(X))=>(~humble(X)|happy(X))))&
((~rich(paul))=>((~patient(paul)<~>~kind(paul))))&
(![X]:((calm(X)|~happy(X))=>... | ~funny(fred) | [
"p1",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6560255554556265898939024
% SZS output start Proof for 6560255554556265898939024
2. ! [X0] : ((~kind(X0) | rich(X0)) <=> (~creative(X0) & ~happy(X0))) [input p1]
10. ! [X0] : ((~creative(X0) | kind(X0)) => (~calm(X0) & happy(X0))) [input p9]
17. funny(fred) <~> rich(fred) [input p16]
19. ... | 0 |
If mary is either not old or humble then fred is not wise or tall. If paul is humble or not tall then someone is either kind or tall. Everyone who is either generous or not patient is either creative or not kind. Everyone who is both not creative and quiet is either not happy or not curious. If fred is curious then som... | Mary is not rich. | contradiction | (((~old(mary)<~>humble(mary)))=>((~wise(fred)|tall(fred))))&
(((humble(paul)|~tall(paul)))=>(?[X]:((kind(X)<~>tall(X)))))&
(![X]:((generous(X)<~>~patient(X))=>(creative(X)<~>~kind(X))))&
(![X]:((~creative(X)&quiet(X))=>(~happy(X)<~>~curious(X))))&
((curious(fred))<=>(?[X]:(funny(X))))&
(![X]:((~tall(X)&creative(X))<=>(... | ~rich(mary) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2971914914584451722278794
% SZS output start Proof for 2971914914584451722278794
9. ! [X0] : ((~patient(X0) | ~calm(X0)) => (rich(X0) & ~humble(X0))) [input p8]
11. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~happy(X0) | ~rich(X0))) [input p10]
24. ~rich(mary) [input hypothesis]
36. ! [X0] ... | 0 |
If paul is calm then lucy is both brave and generous and vice versa.
Everyone who is not wise is not funny.
Everyone who is both kind and not happy is either not curious or not quiet and vice versa.
If someone is either funny or brave then someone is not wise or happy.
Everyone who is patient is both not calm and creat... | Susan is creative. | contradiction | ((calm(paul))<=>((brave(lucy)&generous(lucy))))&
(![X]:(~wise(X)=>~funny(X)))&
(![X]:((kind(X)&~happy(X))<=>(~curious(X)<~>~quiet(X))))&
((?[X]:((funny(X)<~>brave(X))))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:(patient(X)<=>(~calm(X)&creative(X))))&
(![X]:((~calm(X)|creative(X))<=>(funny(X)&~quiet(X))))&
(![X]:((quiet(X)|... | creative(susan) | [
"p1",
"p5",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7048270024512491277446013
% SZS output start Proof for 7048270024512491277446013
2. ! [X0] : (~wise(X0) => ~funny(X0)) [input p1]
6. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (~quiet(X0) & funny(X0))) [input p5]
8. ! [X0] : ((brave(X0) & ~kind(X0)) <=> (wise(X0) | quiet(X0))) [input p7]
14... | 0 |
If someone is not happy then paul is humble. If john is not tall then alice is both not curious and creative. Everyone who is not strong or not old is either tall or not rich and vice versa. Everyone who is either generous or not strong is both not funny and not humble. If john is both quiet and not curious then someon... | Alice is not brave. | contradiction | ((?[X]:(~happy(X)))=>(humble(paul)))&
((~tall(john))=>((~curious(alice)&creative(alice))))&
(![X]:((~strong(X)|~old(X))<=>(tall(X)<~>~rich(X))))&
(![X]:((generous(X)<~>~strong(X))=>(~funny(X)&~humble(X))))&
(((quiet(john)&~curious(john)))<=>(?[X]:(curious(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((~funny(X)&generous(X)))))... | ~brave(alice) | [
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2455757208769012802941511
% SZS output start Proof for 2455757208769012802941511
17. creative(alice) <~> brave(alice) [input p16]
18. ~creative(alice) [input p17]
25. ~brave(alice) [input hypothesis]
81. (~brave(alice) | ~creative(alice)) & (brave(alice) | creative(alice)) [nnf transforma... | 0 |
Everyone who is both rich and creative is both not patient and curious. Everyone who is either quiet or not humble is humble or not kind. Everyone who is not funny is calm. If mary is either generous or curious then mary is brave or not happy. Everyone who is not funny or curious is either not old or wise and vice vers... | Mary is not wise. | entailment | (![X]:((rich(X)&creative(X))=>(~patient(X)&curious(X))))&
(![X]:((quiet(X)<~>~humble(X))=>(humble(X)|~kind(X))))&
(![X]:(~funny(X)=>calm(X)))&
(((generous(mary)<~>curious(mary)))=>((brave(mary)|~happy(mary))))&
(![X]:((~funny(X)|curious(X))<=>(~old(X)<~>wise(X))))&
(![X]:((wise(X)<~>~happy(X))=>(~humble(X)<~>tall(X))))... | ~wise(mary) | [
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1196615003937200870597429
% SZS output start Proof for 1196615003937200870597429
5. ! [X0] : ((curious(X0) | ~funny(X0)) <=> (~old(X0) <~> wise(X0))) [input p4]
9. ! [X0] : ((~patient(X0) & ~old(X0)) <=> (wise(X0) | kind(X0))) [input p8]
11. ! [X0] : ((~wise(X0) & ~old(X0)) <=> (~curious(... | 0 |
Everyone who is kind or tall is not generous or humble and vice versa.
Everyone who is either creative or curious is old or not tall and vice versa.
Everyone who is either brave or curious is humble and vice versa.
If someone is both kind and not wise then someone is both funny and not funny and vice versa.
Everyone wh... | Fred is not rich. | entailment | (![X]:((kind(X)|tall(X))<=>(~generous(X)|humble(X))))&
(![X]:((creative(X)<~>curious(X))<=>(old(X)|~tall(X))))&
(![X]:((brave(X)<~>curious(X))<=>humble(X)))&
((?[X]:((kind(X)&~wise(X))))<=>(?[X]:((funny(X)&~funny(X)))))&
(![X]:((rich(X)<~>~humble(X))=>~curious(X)))&
((~humble(fred))<=>(~generous(john)))&
(((funny(john)... | ~rich(fred) | [
"p0",
"p1",
"p2",
"p4",
"p8",
"p9",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3562788167191315540945718
% SZS output start Proof for 3562788167191315540945718
1. ! [X0] : ((tall(X0) | kind(X0)) <=> (humble(X0) | ~generous(X0))) [input p0]
2. ! [X0] : ((creative(X0) <~> curious(X0)) <=> (~tall(X0) | old(X0))) [input p1]
3. ! [X0] : ((brave(X0) <~> curious(X0)) <=> h... | 0 |
If someone is tall then john is not creative or not happy and vice versa.
Everyone who is either funny or happy is not wise and vice versa.
Everyone who is both quiet and curious is happy or tall and vice versa.
If john is wise then john is patient.
If someone is both brave and not curious then someone is either not st... | Paul is not brave. | contradiction | ((?[X]:(tall(X)))<=>((~creative(john)|~happy(john))))&
(![X]:((funny(X)<~>happy(X))<=>~wise(X)))&
(![X]:((quiet(X)&curious(X))<=>(happy(X)|tall(X))))&
((wise(john))=>(patient(john)))&
((?[X]:((brave(X)&~curious(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((funny(X)|~patient(X))<=>(~brave(X)&creative(X))))&
(![X]... | ~brave(paul) | [
"p1",
"p5",
"p8",
"p9",
"p11",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 893129431216061152272860
% SZS output start Proof for 893129431216061152272860
2. ! [X0] : ((funny(X0) <~> happy(X0)) <=> ~wise(X0)) [input p1]
6. ! [X0] : ((~patient(X0) | funny(X0)) <=> (creative(X0) & ~brave(X0))) [input p5]
9. ! [X0] : (wise(X0) <=> (~rich(X0) & wise(X0))) [input p8]
... | 0 |
Everyone who is not rich is wise or brave. If someone is both tall and funny then john is old. Everyone who is brave is either tall or strong. Everyone who is creative or not curious is both patient and quiet and vice versa. Everyone who is both strong and not brave is strong or not rich and vice versa. Everyone who is... | Mary is quiet. | entailment | (![X]:(~rich(X)=>(wise(X)|brave(X))))&
((?[X]:((tall(X)&funny(X))))=>(old(john)))&
(![X]:(brave(X)=>(tall(X)<~>strong(X))))&
(![X]:((creative(X)|~curious(X))<=>(patient(X)&quiet(X))))&
(![X]:((strong(X)&~brave(X))<=>(strong(X)|~rich(X))))&
(![X]:((funny(X)&generous(X))<=>(~wise(X)<~>~patient(X))))&
(((~curious(alice)|~... | quiet(mary) | [
"p0",
"p4",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 430945493002555913562824
% SZS output start Proof for 430945493002555913562824
1. ! [X0] : (~rich(X0) => (brave(X0) | wise(X0))) [input p0]
5. ! [X0] : ((~brave(X0) & strong(X0)) <=> (~rich(X0) | strong(X0))) [input p4]
8. ? [X0] : (rich(X0) | ~tall(X0)) => ? [X0] : (~wise(X0) & ~rich(X0)... | 0 |
Everyone who is not tall is either not patient or brave and vice versa.
Everyone who is either old or not rich is creative or not wise.
If someone is either not kind or curious then susan is wise and vice versa.
If someone is kind then fred is either not old or rich.
Everyone who is generous or not patient is both funn... | Susan is not calm. | contradiction | (![X]:(~tall(X)<=>(~patient(X)<~>brave(X))))&
(![X]:((old(X)<~>~rich(X))=>(creative(X)|~wise(X))))&
((?[X]:((~kind(X)<~>curious(X))))<=>(wise(susan)))&
((?[X]:(kind(X)))=>((~old(fred)<~>rich(fred))))&
(![X]:((generous(X)|~patient(X))=>(funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~generous(X))<=>(calm(X)<~>generous(X))))&... | ~calm(susan) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1662128935610947260282932
% SZS output start Proof for 1662128935610947260282932
1. ! [X0] : (~tall(X0) <=> (~patient(X0) <~> brave(X0))) [input p0]
2. ! [X0] : ((old(X0) <~> ~rich(X0)) => (~wise(X0) | creative(X0))) [input p1]
4. ? [X0] : kind(X0) => (~old(fred) <~> rich(fred)) [input p3... | 0 |
If someone is kind then someone is either not patient or generous and vice versa.
If someone is either not creative or not rich then someone is happy and vice versa.
If alice is not strong then someone is either not generous or calm and vice versa.
If someone is either not wise or not patient then someone is not calm a... | John is rich. | contradiction | ((?[X]:(kind(X)))<=>(?[X]:((~patient(X)<~>generous(X)))))&
((?[X]:((~creative(X)<~>~rich(X))))<=>(?[X]:(happy(X))))&
((~strong(alice))<=>(?[X]:((~generous(X)<~>calm(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((creative(X)<~>humble(X))))=>((kind(mary)&funny(mary))))&
(![X]:((brave(X)|~patien... | rich(john) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4962504437110033829344442
% SZS output start Proof for 4962504437110033829344442
1. ? [X0] : kind(X0) <=> ? [X0] : (~patient(X0) <~> generous(X0)) [input p0]
5. ? [X0] : (creative(X0) <~> humble(X0)) => (funny(mary) & kind(mary)) [input p4]
6. ! [X0] : ((~patient(X0) | brave(X0)) => (~hum... | 0 |
Everyone who is either not kind or funny is curious or funny and vice versa.
Everyone who is tall or humble is either not happy or not brave and vice versa.
If someone is either funny or not creative then someone is both old and rich and vice versa.
Everyone who is kind or quiet is either generous or not strong and vic... | Alice is not generous. | neutral | (![X]:((~kind(X)<~>funny(X))<=>(curious(X)|funny(X))))&
(![X]:((tall(X)|humble(X))<=>(~happy(X)<~>~brave(X))))&
((?[X]:((funny(X)<~>~creative(X))))<=>(?[X]:((old(X)&rich(X)))))&
(![X]:((kind(X)|quiet(X))<=>(generous(X)<~>~strong(X))))&
((?[X]:((calm(X)|~wise(X))))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:((~tall(X)|~kin... | ~generous(alice) | [] | null | 0 |
If mary is curious or strong then paul is both not quiet and not brave and vice versa. Everyone who is not rich is humble or generous and vice versa. Everyone who is both old and humble is not quiet. Everyone who is both not calm and not patient is not humble or not quiet and vice versa. Everyone who is wise is not old... | Paul is funny. | neutral | (((curious(mary)|strong(mary)))<=>((~quiet(paul)&~brave(paul))))&
(![X]:(~rich(X)<=>(humble(X)|generous(X))))&
(![X]:((old(X)&humble(X))=>~quiet(X)))&
(![X]:((~calm(X)&~patient(X))<=>(~humble(X)|~quiet(X))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:(humble(X)<=>(~strong(X)|~creative(X))))&
(![X]:((~funny(X)&rich(X))=>(quiet(X... | funny(paul) | [] | null | 0 |
Everyone who is both creative and not kind is either not kind or old and vice versa.
If alice is both old and not kind then john is strong or brave.
Everyone who is both brave and curious is either patient or generous and vice versa.
If susan is generous then lucy is not kind or wise and vice versa.
If lucy is either q... | John is not happy. | entailment | (![X]:((creative(X)&~kind(X))<=>(~kind(X)<~>old(X))))&
(((old(alice)&~kind(alice)))=>((strong(john)|brave(john))))&
(![X]:((brave(X)&curious(X))<=>(patient(X)<~>generous(X))))&
((generous(susan))<=>((~kind(lucy)|wise(lucy))))&
(((quiet(lucy)<~>rich(lucy)))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((kind(X)|rich(X))<=>(p... | ~happy(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5678471380453835560262682
% SZS output start Proof for 5678471380453835560262682
9. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (calm(X0) & ~happy(X0))) [input p8]
24. happy(john) [input hypothesis]
50. ! [X0] : (((creative(X0) | ~creative(X0)) | (~calm(X0) | happy(X0))) & ((calm(X0) & ~... | 0 |
Everyone who is either not humble or old is strong or calm and vice versa.
Everyone who is not strong or curious is both not tall and not brave and vice versa.
Everyone who is both not tall and creative is either not patient or not funny and vice versa.
Everyone who is both funny and not creative is either not old or q... | Paul is not patient. | entailment | (![X]:((~humble(X)<~>old(X))<=>(strong(X)|calm(X))))&
(![X]:((~strong(X)|curious(X))<=>(~tall(X)&~brave(X))))&
(![X]:((~tall(X)&creative(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((funny(X)&~creative(X))<=>(~old(X)<~>quiet(X))))&
(((~rich(mary)|humble(mary)))<=>(?[X]:((~old(X)&tall(X)))))&
((?[X]:(kind(X)))=>(creative(p... | ~patient(paul) | [
"p0",
"p1",
"p2",
"p5",
"p9",
"p10",
"p11",
"p12",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4503761443785148275797296
% SZS output start Proof for 4503761443785148275797296
1. ! [X0] : ((~humble(X0) <~> old(X0)) <=> (calm(X0) | strong(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~strong(X0)) <=> (~brave(X0) & ~tall(X0))) [input p1]
3. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (~p... | 0 |
If john is generous or not kind then lucy is not quiet and vice versa.
Everyone who is either not quiet or not brave is not curious and vice versa.
If someone is not wise or not patient then someone is both not funny and not kind and vice versa.
If someone is either not curious or old then someone is both quiet and not... | Lucy is not happy. | neutral | (((generous(john)|~kind(john)))<=>(~quiet(lucy)))&
(![X]:((~quiet(X)<~>~brave(X))<=>~curious(X)))&
((?[X]:((~wise(X)|~patient(X))))<=>(?[X]:((~funny(X)&~kind(X)))))&
((?[X]:((~curious(X)<~>old(X))))=>(?[X]:((quiet(X)&~creative(X)))))&
(![X]:((~creative(X)<~>old(X))<=>~creative(X)))&
((?[X]:((humble(X)<~>old(X))))=>((~t... | ~happy(lucy) | [] | null | 0 |
If someone is old then paul is both not old and creative. If someone is either not funny or patient then paul is not funny. If someone is creative or not curious then paul is not creative or not tall. Everyone who is not tall is quiet or not calm. If someone is not strong or humble then someone is happy or patient. If ... | Paul is patient. | contradiction | ((?[X]:(old(X)))=>((~old(paul)&creative(paul))))&
((?[X]:((~funny(X)<~>patient(X))))=>(~funny(paul)))&
((?[X]:((creative(X)|~curious(X))))=>((~creative(paul)|~tall(paul))))&
(![X]:(~tall(X)=>(quiet(X)|~calm(X))))&
((?[X]:((~strong(X)|humble(X))))=>(?[X]:((happy(X)|patient(X)))))&
((?[X]:((~humble(X)&~funny(X))))<=>((~q... | patient(paul) | [
"p0",
"p1",
"p2",
"p10",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1025270551253241856307545
% SZS output start Proof for 1025270551253241856307545
1. ? [X0] : old(X0) => (creative(paul) & ~old(paul)) [input p0]
2. ? [X0] : (~funny(X0) <~> patient(X0)) => ~funny(paul) [input p1]
3. ? [X0] : (~curious(X0) | creative(X0)) => (~tall(paul) | ~creative(paul))... | 0 |
Everyone who is either brave or not quiet is both not tall and old and vice versa.
Everyone who is both rich and not quiet is tall or not happy and vice versa.
Everyone who is not creative is both not creative and patient.
If mary is not quiet then alice is not tall.
If someone is either rich or calm then someone is ei... | Susan is happy. | entailment | (![X]:((brave(X)<~>~quiet(X))<=>(~tall(X)&old(X))))&
(![X]:((rich(X)&~quiet(X))<=>(tall(X)|~happy(X))))&
(![X]:(~creative(X)=>(~creative(X)&patient(X))))&
((~quiet(mary))=>(~tall(alice)))&
((?[X]:((rich(X)<~>calm(X))))=>(?[X]:((~humble(X)<~>funny(X)))))&
(![X]:((~generous(X)&~happy(X))<=>(patient(X)&strong(X))))&
((?[X... | happy(susan) | [
"p1",
"p5",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7016104958646984523142211
% SZS output start Proof for 7016104958646984523142211
2. ! [X0] : ((~quiet(X0) & rich(X0)) <=> (~happy(X0) | tall(X0))) [input p1]
6. ! [X0] : ((~happy(X0) & ~generous(X0)) <=> (strong(X0) & patient(X0))) [input p5]
8. ! [X0] : ((~generous(X0) | ~patient(X0)) <=... | 0 |
If someone is not happy then fred is both not rich and brave. If alice is either not patient or not old then someone is not tall. Everyone who is not rich or old is both kind and tall and vice versa. Everyone who is not wise or generous is wise. If someone is either patient or not tall then someone is both curious and ... | Lucy is wise. | entailment | ((?[X]:(~happy(X)))=>((~rich(fred)&brave(fred))))&
(((~patient(alice)<~>~old(alice)))=>(?[X]:(~tall(X))))&
(![X]:((~rich(X)|old(X))<=>(kind(X)&tall(X))))&
(![X]:((~wise(X)|generous(X))=>wise(X)))&
((?[X]:((patient(X)<~>~tall(X))))<=>(?[X]:((curious(X)&~happy(X)))))&
(![X]:((~old(X)|wise(X))=>(wise(X)<~>curious(X))))&
(... | wise(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6119436223112089851676750
% SZS output start Proof for 6119436223112089851676750
4. ! [X0] : ((generous(X0) | ~wise(X0)) => wise(X0)) [input p3]
25. ~wise(lucy) [input hypothesis]
29. ! [X0] : (wise(X0) | (~generous(X0) & wise(X0))) [ennf transformation 4]
89. wise(X0) | wise(X0) [cnf tra... | 0 |
Everyone who is either wise or not calm is not tall or wise.
Everyone who is not rich or kind is not calm.
If john is happy then someone is wise and vice versa.
Everyone who is strong or calm is either wise or not humble and vice versa.
If someone is happy or not rich then someone is either not wise or not happy.
Every... | Mary is wise. | entailment | (![X]:((wise(X)<~>~calm(X))=>(~tall(X)|wise(X))))&
(![X]:((~rich(X)|kind(X))=>~calm(X)))&
((happy(john))<=>(?[X]:(wise(X))))&
(![X]:((strong(X)|calm(X))<=>(wise(X)<~>~humble(X))))&
((?[X]:((happy(X)|~rich(X))))=>(?[X]:((~wise(X)<~>~happy(X)))))&
(![X]:((creative(X)<~>~generous(X))=>(~funny(X)&generous(X))))&
(![X]:((~t... | wise(mary) | [
"p0",
"p1",
"p2",
"p6",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1433333892182723311724524
% SZS output start Proof for 1433333892182723311724524
1. ! [X0] : ((wise(X0) <~> ~calm(X0)) => (wise(X0) | ~tall(X0))) [input p0]
2. ! [X0] : ((kind(X0) | ~rich(X0)) => ~calm(X0)) [input p1]
3. happy(john) <=> ? [X0] : wise(X0) [input p2]
7. ! [X0] : ((~patient(... | 0 |
Everyone who is not creative is not tall and vice versa. Everyone who is either not tall or brave is not calm or not generous. If fred is both wise and kind then someone is both creative and not funny and vice versa. Everyone who is not quiet is not strong or strong. If someone is both not strong and generous then some... | Susan is tall. | contradiction | (![X]:(~creative(X)<=>~tall(X)))&
(![X]:((~tall(X)<~>brave(X))=>(~calm(X)|~generous(X))))&
(((wise(fred)&kind(fred)))<=>(?[X]:((creative(X)&~funny(X)))))&
(![X]:(~quiet(X)=>(~strong(X)|strong(X))))&
((?[X]:((~strong(X)&generous(X))))=>(?[X]:((wise(X)&~old(X)))))&
(((~quiet(lucy)&~rich(lucy)))<=>(~funny(fred)))&
(![X]:(... | tall(susan) | [
"p6",
"p8",
"p9",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6787932876160167084542398
% SZS output start Proof for 6787932876160167084542398
7. ! [X0] : ((~generous(X0) | patient(X0)) => (~curious(X0) & ~humble(X0))) [input p6]
9. ! [X0] : ((~curious(X0) <~> happy(X0)) <=> (~strong(X0) & generous(X0))) [input p8]
10. ! [X0] : ((~calm(X0) | happy(X... | 0 |
Everyone who is both not brave and not patient is rich and vice versa. Everyone who is not wise or not strong is not strong. If someone is rich or kind then paul is not kind or happy. Everyone who is happy is both not calm and humble and vice versa. If someone is not brave then mary is either not happy or tall. If fred... | Alice is not kind. | entailment | (![X]:((~brave(X)&~patient(X))<=>rich(X)))&
(![X]:((~wise(X)|~strong(X))=>~strong(X)))&
((?[X]:((rich(X)|kind(X))))=>((~kind(paul)|happy(paul))))&
(![X]:(happy(X)<=>(~calm(X)&humble(X))))&
((?[X]:(~brave(X)))=>((~happy(mary)<~>tall(mary))))&
(((old(fred)|~creative(fred)))=>(~old(susan)))&
((?[X]:((~generous(X)|~funny(X... | ~kind(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 273170167567358126776239
% SZS output start Proof for 273170167567358126776239
15. ! [X0] : ((~happy(X0) | kind(X0)) => (funny(X0) & ~funny(X0))) [input p14]
23. kind(alice) [input hypothesis]
32. ! [X0] : ((funny(X0) & ~funny(X0)) | (happy(X0) & ~kind(X0))) [ennf transformation 15]
118. ... | 0 |
Everyone who is either not creative or humble is not strong or not patient and vice versa.
Everyone who is either patient or kind is either strong or happy.
Everyone who is either wise or happy is happy.
If someone is not rich or kind then lucy is curious and vice versa.
Everyone who is either not strong or not quiet i... | John is creative. | contradiction | (![X]:((~creative(X)<~>humble(X))<=>(~strong(X)|~patient(X))))&
(![X]:((patient(X)<~>kind(X))=>(strong(X)<~>happy(X))))&
(![X]:((wise(X)<~>happy(X))=>happy(X)))&
((?[X]:((~rich(X)|kind(X))))<=>(curious(lucy)))&
(![X]:((~strong(X)<~>~quiet(X))<=>~rich(X)))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:(~rich(X))))&
(![X]:(~cu... | creative(john) | [
"p6",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4411178025064473913653329
% SZS output start Proof for 4411178025064473913653329
7. ! [X0] : (~curious(X0) <=> (~patient(X0) | creative(X0))) [input p6]
10. ! [X0] : ((~curious(X0) | quiet(X0)) <=> (generous(X0) & ~funny(X0))) [input p9]
12. generous(fred) <=> funny(john) [input p11]
13. ... | 0 |
If someone is either happy or not generous then paul is either creative or not happy and vice versa. If susan is both creative and not wise then someone is either patient or strong. Everyone who is either not old or not strong is not quiet or not happy. If lucy is strong or curious then paul is not creative and vice ve... | Susan is not rich. | contradiction | ((?[X]:((happy(X)<~>~generous(X))))<=>((creative(paul)<~>~happy(paul))))&
(((creative(susan)&~wise(susan)))=>(?[X]:((patient(X)<~>strong(X)))))&
(![X]:((~old(X)<~>~strong(X))=>(~quiet(X)|~happy(X))))&
(((strong(lucy)|curious(lucy)))<=>(~creative(paul)))&
(![X]:((old(X)|~tall(X))=>~strong(X)))&
(![X]:((quiet(X)|~curious... | ~rich(susan) | [
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1946562784601692435379132
% SZS output start Proof for 1946562784601692435379132
9. ? [X0] : (humble(X0) <~> rich(X0)) <=> ~wise(lucy) [input p8]
10. ! [X0] : ((humble(X0) & old(X0)) <=> (calm(X0) | ~rich(X0))) [input p9]
12. ! [X0] : ((calm(X0) & ~old(X0)) <=> (~quiet(X0) & ~humble(X0)))... | 0 |
If someone is either funny or not happy then someone is both not creative and funny.
If fred is either brave or not calm then fred is not generous or happy.
Everyone who is happy or not quiet is either not strong or rich.
Everyone who is either generous or not curious is not funny and vice versa.
Everyone who is both n... | Lucy is not humble. | neutral | ((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:((~creative(X)&funny(X)))))&
(((brave(fred)<~>~calm(fred)))=>((~generous(fred)|happy(fred))))&
(![X]:((happy(X)|~quiet(X))=>(~strong(X)<~>rich(X))))&
(![X]:((generous(X)<~>~curious(X))<=>~funny(X)))&
(![X]:((~quiet(X)&funny(X))=>(happy(X)&funny(X))))&
((?[X]:((~rich(X)&~strong(X)... | ~humble(lucy) | [] | null | 0 |
If someone is calm then someone is not curious and vice versa.
Everyone who is wise is either curious or rich and vice versa.
If someone is either not calm or calm then fred is both funny and not old and vice versa.
If someone is rich or not calm then someone is either quiet or funny and vice versa.
If someone is eithe... | John is not tall. | contradiction | ((?[X]:(calm(X)))<=>(?[X]:(~curious(X))))&
(![X]:(wise(X)<=>(curious(X)<~>rich(X))))&
((?[X]:((~calm(X)<~>calm(X))))<=>((funny(fred)&~old(fred))))&
((?[X]:((rich(X)|~calm(X))))<=>(?[X]:((quiet(X)<~>funny(X)))))&
((?[X]:((generous(X)<~>funny(X))))=>(?[X]:(~tall(X))))&
(![X]:(~brave(X)=>(quiet(X)&happy(X))))&
(![X]:((~br... | ~tall(john) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5352613653099093081234740
% SZS output start Proof for 5352613653099093081234740
14. ! [X0] : ((humble(X0) | old(X0)) <=> tall(X0)) [input p13]
21. old(john) [input p20]
25. ~tall(john) [input hypothesis]
78. ! [X0] : (((humble(X0) | old(X0)) | ~tall(X0)) & (tall(X0) | (~humble(X0) & ~old... | 0 |
If fred is either not tall or not rich then someone is generous and vice versa.
Everyone who is either not quiet or not curious is either not generous or patient and vice versa.
Everyone who is quiet or not curious is not calm or wise.
Everyone who is not curious is both generous and tall.
If someone is either quiet or... | Fred is rich. | contradiction | (((~tall(fred)<~>~rich(fred)))<=>(?[X]:(generous(X))))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~generous(X)<~>patient(X))))&
(![X]:((quiet(X)|~curious(X))=>(~calm(X)|wise(X))))&
(![X]:(~curious(X)=>(generous(X)&tall(X))))&
((?[X]:((quiet(X)<~>~generous(X))))=>(?[X]:(creative(X))))&
(![X]:((tall(X)&~wise(X))=>(~funny(X)<~>... | rich(fred) | [
"p0",
"p3",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5630937880914756814123341
% SZS output start Proof for 5630937880914756814123341
1. (~tall(fred) <~> ~rich(fred)) <=> ? [X0] : generous(X0) [input p0]
4. ! [X0] : (~curious(X0) => (tall(X0) & generous(X0))) [input p3]
21. ? [X0] : generous(X0) [input p20]
24. ~brave(fred) & ~curious(fred)... | 0 |
If mary is either not strong or not generous then someone is not funny. If lucy is generous or quiet then paul is both not creative and rich. Everyone who is either humble or calm is creative or not calm and vice versa. Everyone who is both humble and wise is not strong. If lucy is not creative or not humble then someo... | Lucy is quiet. | entailment | (((~strong(mary)<~>~generous(mary)))=>(?[X]:(~funny(X))))&
(((generous(lucy)|quiet(lucy)))=>((~creative(paul)&rich(paul))))&
(![X]:((humble(X)<~>calm(X))<=>(creative(X)|~calm(X))))&
(![X]:((humble(X)&wise(X))=>~strong(X)))&
(((~creative(lucy)|~humble(lucy)))=>(?[X]:((~creative(X)<~>humble(X)))))&
(![X]:((rich(X)&~stron... | quiet(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1697192744515082006165756
% SZS output start Proof for 1697192744515082006165756
17. quiet(lucy) & curious(lucy) [input p16]
24. ~quiet(lucy) [input hypothesis]
121. quiet(lucy) [cnf transformation 17]
130. ~quiet(lucy) [cnf transformation 24]
148. 4 <=> quiet(lucy) [avatar definition]
27... | 0 |
Everyone who is both creative and not patient is not generous or not rich and vice versa.
Everyone who is either not brave or not old is either not funny or not kind and vice versa.
If someone is either not generous or not happy then someone is either not calm or not strong and vice versa.
Everyone who is humble or not... | Lucy is not patient. | entailment | (![X]:((creative(X)&~patient(X))<=>(~generous(X)|~rich(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~funny(X)<~>~kind(X))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((humble(X)|~quiet(X))<=>(patient(X)&tall(X))))&
(![X]:((creative(X)|kind(X))=>(wise(X)&strong(X))))&
((?[X]:((creative(X... | ~patient(lucy) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1398645942497028584957960
% SZS output start Proof for 1398645942497028584957960
1. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~rich(X0) | ~generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | humble(X0)) <=> (tall(X0) & patient(X0))) [input p3]
5. ! [X0] : ((kind(X0) | creative(X0)) =>... | 0 |
Everyone who is not tall or not creative is both not strong and generous and vice versa.
Everyone who is either quiet or not quiet is rich or not quiet.
Everyone who is both kind and not old is both not kind and not rich.
If lucy is both quiet and wise then someone is either not funny or not creative.
Everyone who is b... | Mary is rich. | entailment | (![X]:((~tall(X)|~creative(X))<=>(~strong(X)&generous(X))))&
(![X]:((quiet(X)<~>~quiet(X))=>(rich(X)|~quiet(X))))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&~rich(X))))&
(((quiet(lucy)&wise(lucy)))=>(?[X]:((~funny(X)<~>~creative(X)))))&
(![X]:((~strong(X)&funny(X))<=>(~curious(X)&~calm(X))))&
(![X]:((~calm(X)<~>strong(X))<=>... | rich(mary) | [
"p1",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 9096255237752081898665388
% SZS output start Proof for 9096255237752081898665388
2. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (~quiet(X0) | rich(X0))) [input p1]
8. ! [X0] : ((humble(X0) | ~quiet(X0)) => (patient(X0) & ~funny(X0))) [input p7]
20. funny(mary) & tall(mary) [input p19]
24. ~ri... | 0 |
Everyone who is both happy and not wise is brave or not patient and vice versa.
If alice is generous then someone is either curious or not creative and vice versa.
If alice is either humble or not curious then lucy is not patient or not rich.
If someone is strong or curious then susan is both not kind and not wise.
Eve... | Susan is not creative. | entailment | (![X]:((happy(X)&~wise(X))<=>(brave(X)|~patient(X))))&
((generous(alice))<=>(?[X]:((curious(X)<~>~creative(X)))))&
(((humble(alice)<~>~curious(alice)))=>((~patient(lucy)|~rich(lucy))))&
((?[X]:((strong(X)|curious(X))))=>((~kind(susan)&~wise(susan))))&
(![X]:((happy(X)|~curious(X))<=>(creative(X)<~>wise(X))))&
(((curiou... | ~creative(susan) | [
"p6",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1481078130357693093276449
% SZS output start Proof for 1481078130357693093276449
7. ! [X0] : ((creative(X0) | wise(X0)) <=> (~generous(X0) & humble(X0))) [input p6]
9. ? [X0] : (patient(X0) | funny(X0)) => (~humble(susan) & ~funny(susan)) [input p8]
14. ! [X0] : ((~generous(X0) | ~rich(X0... | 0 |
If someone is happy then john is happy.
Everyone who is not rich or strong is not curious or not calm.
If susan is strong then alice is both kind and not humble.
If someone is either calm or creative then someone is quiet and vice versa.
Everyone who is not creative is either not creative or not tall and vice versa.
Ev... | Paul is funny. | neutral | ((?[X]:(happy(X)))=>(happy(john)))&
(![X]:((~rich(X)|strong(X))=>(~curious(X)|~calm(X))))&
((strong(susan))=>((kind(alice)&~humble(alice))))&
((?[X]:((calm(X)<~>creative(X))))<=>(?[X]:(quiet(X))))&
(![X]:(~creative(X)<=>(~creative(X)<~>~tall(X))))&
(![X]:((~rich(X)<~>~humble(X))=>tall(X)))&
(![X]:((~patient(X)&~creativ... | funny(paul) | [] | null | 0 |
Everyone who is either old or not brave is humble and vice versa. Everyone who is both not tall and not happy is generous. If paul is not rich then someone is both not curious and tall and vice versa. Everyone who is both curious and not kind is not happy and vice versa. If fred is not kind or tall then someone is not ... | John is not wise. | neutral | (![X]:((old(X)<~>~brave(X))<=>humble(X)))&
(![X]:((~tall(X)&~happy(X))=>generous(X)))&
((~rich(paul))<=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((curious(X)&~kind(X))<=>~happy(X)))&
(((~kind(fred)|tall(fred)))<=>(?[X]:((~kind(X)|~patient(X)))))&
((?[X]:((kind(X)&tall(X))))=>((~happy(paul)|~strong(paul))))&
((?[X]:((~tal... | ~wise(john) | [] | null | 0 |
If paul is both quiet and curious then paul is either not strong or rich and vice versa. If someone is not brave or patient then someone is funny and vice versa. Everyone who is both not wise and wise is either not patient or wise and vice versa. Everyone who is tall is not brave or wise and vice versa. Everyone who is... | Lucy is not humble. | contradiction | (((quiet(paul)&curious(paul)))<=>((~strong(paul)<~>rich(paul))))&
((?[X]:((~brave(X)|patient(X))))<=>(?[X]:(funny(X))))&
(![X]:((~wise(X)&wise(X))<=>(~patient(X)<~>wise(X))))&
(![X]:(tall(X)<=>(~brave(X)|wise(X))))&
(![X]:((happy(X)|~humble(X))<=>creative(X)))&
((?[X]:(rich(X)))=>(?[X]:((~patient(X)<~>~kind(X)))))&
(![... | ~humble(lucy) | [
"p4",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4217914667296949463814021
% SZS output start Proof for 4217914667296949463814021
5. ! [X0] : ((~humble(X0) | happy(X0)) <=> creative(X0)) [input p4]
24. ~creative(lucy) [input p23]
25. ~humble(lucy) [input hypothesis]
31. ! [X0] : ((~humble(X0) | happy(X0)) => creative(X0)) [unused predic... | 0 |
Everyone who is funny is not strong or curious and vice versa.
If john is either patient or old then someone is both not wise and rich.
If someone is funny then fred is either not old or wise and vice versa.
Everyone who is not calm or creative is rich and vice versa.
Everyone who is not kind is not calm and vice versa... | Lucy is brave. | entailment | (![X]:(funny(X)<=>(~strong(X)|curious(X))))&
(((patient(john)<~>old(john)))=>(?[X]:((~wise(X)&rich(X)))))&
((?[X]:(funny(X)))<=>((~old(fred)<~>wise(fred))))&
(![X]:((~calm(X)|creative(X))<=>rich(X)))&
(![X]:(~kind(X)<=>~calm(X)))&
(((~humble(mary)<~>~funny(mary)))<=>(?[X]:(~tall(X))))&
(![X]:((~generous(X)<~>~curious(X... | brave(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3772495540126233465211816
% SZS output start Proof for 3772495540126233465211816
19. brave(lucy) [input p18]
25. ~brave(lucy) [input hypothesis]
154. brave(lucy) [cnf transformation 19]
164. ~brave(lucy) [cnf transformation 25]
343. $false [subsumption resolution 164,154]
% SZS output end... | 0 |
If lucy is either not brave or not strong then someone is either not old or generous. If susan is generous then someone is either not quiet or not wise and vice versa. If john is not patient or kind then someone is creative or kind and vice versa. Everyone who is not tall is creative. If mary is quiet or funny then fre... | Mary is not calm. | neutral | (((~brave(lucy)<~>~strong(lucy)))=>(?[X]:((~old(X)<~>generous(X)))))&
((generous(susan))<=>(?[X]:((~quiet(X)<~>~wise(X)))))&
(((~patient(john)|kind(john)))<=>(?[X]:((creative(X)|kind(X)))))&
(![X]:(~tall(X)=>creative(X)))&
(((quiet(mary)|funny(mary)))<=>(generous(fred)))&
((funny(fred))<=>(?[X]:(kind(X))))&
((?[X]:((ta... | ~calm(mary) | [] | null | 0 |
If someone is both not strong and not creative then someone is both not humble and brave and vice versa.
If someone is either generous or not creative then john is not happy and vice versa.
Everyone who is generous is either not creative or old and vice versa.
If someone is not kind or not tall then someone is not rich... | Susan is happy. | neutral | ((?[X]:((~strong(X)&~creative(X))))<=>(?[X]:((~humble(X)&brave(X)))))&
((?[X]:((generous(X)<~>~creative(X))))<=>(~happy(john)))&
(![X]:(generous(X)<=>(~creative(X)<~>old(X))))&
((?[X]:((~kind(X)|~tall(X))))=>(?[X]:((~rich(X)|old(X)))))&
(((~generous(alice)&kind(alice)))<=>((~brave(alice)&humble(alice))))&
(![X]:(old(X)... | happy(susan) | [] | null | 0 |
Everyone who is either not creative or not patient is both brave and funny. Everyone who is not patient is not strong and vice versa. If susan is not funny or brave then someone is not strong or humble and vice versa. Everyone who is kind is not kind or happy. If fred is not curious or wise then someone is both not gen... | Mary is not calm. | contradiction | (![X]:((~creative(X)<~>~patient(X))=>(brave(X)&funny(X))))&
(![X]:(~patient(X)<=>~strong(X)))&
(((~funny(susan)|brave(susan)))<=>(?[X]:((~strong(X)|humble(X)))))&
(![X]:(kind(X)=>(~kind(X)|happy(X))))&
(((~curious(fred)|wise(fred)))=>(?[X]:((~generous(X)&~rich(X)))))&
(![X]:((rich(X)<~>~rich(X))<=>(calm(X)<~>~brave(X))... | ~calm(mary) | [
"p0",
"p1",
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7698050283978660324527203
% SZS output start Proof for 7698050283978660324527203
1. ! [X0] : ((~creative(X0) <~> ~patient(X0)) => (funny(X0) & brave(X0))) [input p0]
2. ! [X0] : (~patient(X0) <=> ~strong(X0)) [input p1]
6. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> (calm(X0) <~> ~brave(X0))) ... | 0 |
Everyone who is both not quiet and not wise is both not rich and wise.
If susan is not old then someone is curious and vice versa.
Everyone who is not happy is either strong or not brave and vice versa.
Everyone who is both humble and not humble is either happy or curious and vice versa.
If someone is either quiet or n... | Susan is old. | contradiction | (![X]:((~quiet(X)&~wise(X))=>(~rich(X)&wise(X))))&
((~old(susan))<=>(?[X]:(curious(X))))&
(![X]:(~happy(X)<=>(strong(X)<~>~brave(X))))&
(![X]:((humble(X)&~humble(X))<=>(happy(X)<~>curious(X))))&
((?[X]:((quiet(X)<~>~tall(X))))<=>(?[X]:((rich(X)<~>~strong(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((creative(X)&generous(X)))))&
... | old(susan) | [
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9114566607793351604986138
% SZS output start Proof for 9114566607793351604986138
2. ~old(susan) <=> ? [X0] : curious(X0) [input p1]
19. curious(susan) [input p18]
25. old(susan) [input hypothesis]
41. (~old(susan) | ! [X0] : ~curious(X0)) & (? [X0] : curious(X0) | old(susan)) [nnf transfo... | 0 |
Everyone who is both not curious and kind is not strong or tall.
Everyone who is funny or creative is both not strong and tall.
Everyone who is not brave or not patient is not funny.
Everyone who is happy or not tall is either not generous or generous and vice versa.
Everyone who is happy or brave is rich and vice vers... | Paul is not creative. | neutral | (![X]:((~curious(X)&kind(X))=>(~strong(X)|tall(X))))&
(![X]:((funny(X)|creative(X))=>(~strong(X)&tall(X))))&
(![X]:((~brave(X)|~patient(X))=>~funny(X)))&
(![X]:((happy(X)|~tall(X))<=>(~generous(X)<~>generous(X))))&
(![X]:((happy(X)|brave(X))<=>rich(X)))&
(![X]:((curious(X)|kind(X))=>(~old(X)&~curious(X))))&
(((strong(p... | ~creative(paul) | [] | null | 0 |
Everyone who is both humble and curious is wise. Everyone who is generous is not funny or rich and vice versa. If someone is either not calm or curious then someone is not tall. If someone is not generous or kind then paul is patient or brave. Everyone who is not wise or curious is tall or patient and vice versa. If so... | John is humble. | entailment | (![X]:((humble(X)&curious(X))=>wise(X)))&
(![X]:(generous(X)<=>(~funny(X)|rich(X))))&
((?[X]:((~calm(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
((?[X]:((~generous(X)|kind(X))))=>((patient(paul)|brave(paul))))&
(![X]:((~wise(X)|curious(X))<=>(tall(X)|patient(X))))&
((?[X]:(~humble(X)))=>(?[X]:((generous(X)<~>funny(X)))))&
... | humble(john) | [
"p1",
"p7",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3062959129404421101782562
% SZS output start Proof for 3062959129404421101782562
2. ! [X0] : (generous(X0) <=> (rich(X0) | ~funny(X0))) [input p1]
8. ! [X0] : ((funny(X0) | rich(X0)) <=> generous(X0)) [input p7]
15. (~rich(john) | humble(john)) <=> ? [X0] : (~humble(X0) <~> rich(X0)) [inp... | 0 |
Everyone who is either not calm or creative is old or not humble and vice versa. If alice is not wise or tall then someone is old or not strong and vice versa. Everyone who is rich or patient is not old or curious and vice versa. If someone is either tall or wise then someone is either not old or generous and vice vers... | Lucy is calm. | contradiction | (![X]:((~calm(X)<~>creative(X))<=>(old(X)|~humble(X))))&
(((~wise(alice)|tall(alice)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((rich(X)|patient(X))<=>(~old(X)|curious(X))))&
((?[X]:((tall(X)<~>wise(X))))<=>(?[X]:((~old(X)<~>generous(X)))))&
(![X]:((brave(X)&humble(X))<=>(calm(X)|~curious(X))))&
(((strong(john)|quiet(jo... | calm(lucy) | [
"p0",
"p9",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 701329362987795682665576
% SZS output start Proof for 701329362987795682665576
1. ! [X0] : ((~calm(X0) <~> creative(X0)) <=> (~humble(X0) | old(X0))) [input p0]
10. ! [X0] : ((patient(X0) & creative(X0)) <=> ~old(X0)) [input p9]
19. ~creative(lucy) | ~rich(lucy) [input p18]
23. strong(luc... | 0 |
Everyone who is not patient or not quiet is either old or calm and vice versa.
If someone is not calm or curious then john is not tall or quiet and vice versa.
If alice is both not happy and quiet then someone is either old or funny.
Everyone who is not creative or not quiet is tall and vice versa.
Everyone who is not ... | Fred is generous. | neutral | (![X]:((~patient(X)|~quiet(X))<=>(old(X)<~>calm(X))))&
((?[X]:((~calm(X)|curious(X))))<=>((~tall(john)|quiet(john))))&
(((~happy(alice)&quiet(alice)))=>(?[X]:((old(X)<~>funny(X)))))&
(![X]:((~creative(X)|~quiet(X))<=>tall(X)))&
(![X]:((~calm(X)|~strong(X))=>generous(X)))&
((?[X]:(~kind(X)))=>((~funny(fred)&old(fred))))... | generous(fred) | [] | null | 0 |
Everyone who is creative is both humble and brave. If someone is both not strong and old then susan is not creative. Everyone who is not strong or quiet is either curious or old. Everyone who is both old and generous is not kind or not rich and vice versa. If alice is tall then someone is either not generous or not ric... | Susan is wise. | neutral | (![X]:(creative(X)=>(humble(X)&brave(X))))&
((?[X]:((~strong(X)&old(X))))=>(~creative(susan)))&
(![X]:((~strong(X)|quiet(X))=>(curious(X)<~>old(X))))&
(![X]:((old(X)&generous(X))<=>(~kind(X)|~rich(X))))&
((tall(alice))<=>(?[X]:((~generous(X)<~>~rich(X)))))&
(((funny(fred)&~quiet(fred)))=>((~generous(lucy)<~>~wise(lucy)... | wise(susan) | [] | null | 0 |
Everyone who is humble is strong or quiet and vice versa. Everyone who is quiet or tall is both creative and not quiet. Everyone who is both not happy and not calm is either calm or not creative and vice versa. Everyone who is both rich and not tall is either not curious or wise. Everyone who is either happy or not fun... | Susan is generous. | entailment | (![X]:(humble(X)<=>(strong(X)|quiet(X))))&
(![X]:((quiet(X)|tall(X))=>(creative(X)&~quiet(X))))&
(![X]:((~happy(X)&~calm(X))<=>(calm(X)<~>~creative(X))))&
(![X]:((rich(X)&~tall(X))=>(~curious(X)<~>wise(X))))&
(![X]:((happy(X)<~>~funny(X))<=>~humble(X)))&
(![X]:((humble(X)&creative(X))=>(~quiet(X)|funny(X))))&
(![X]:((~... | generous(susan) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1744997995199266442830443
% SZS output start Proof for 1744997995199266442830443
7. ! [X0] : ((quiet(X0) | ~calm(X0)) <=> generous(X0)) [input p6]
24. ~calm(susan) & ~happy(susan) [input p23]
25. ~generous(susan) [input hypothesis]
45. ! [X0] : (((quiet(X0) | ~calm(X0)) | ~generous(X0)) &... | 0 |
Everyone who is funny is both not strong and not happy.
Everyone who is both wise and not kind is either old or not creative and vice versa.
If someone is not strong or not wise then john is kind or not calm and vice versa.
Everyone who is not tall or quiet is not quiet.
If someone is either not strong or kind then som... | John is not kind. | contradiction | (![X]:(funny(X)=>(~strong(X)&~happy(X))))&
(![X]:((wise(X)&~kind(X))<=>(old(X)<~>~creative(X))))&
((?[X]:((~strong(X)|~wise(X))))<=>((kind(john)|~calm(john))))&
(![X]:((~tall(X)|quiet(X))=>~quiet(X)))&
((?[X]:((~strong(X)<~>kind(X))))<=>(?[X]:((funny(X)&brave(X)))))&
(![X]:((~wise(X)<~>~strong(X))<=>(~happy(X)<~>quiet(... | ~kind(john) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2238260358159411124703247
% SZS output start Proof for 2238260358159411124703247
1. ! [X0] : (funny(X0) => (~happy(X0) & ~strong(X0))) [input p0]
3. ? [X0] : (~wise(X0) | ~strong(X0)) <=> (~calm(john) | kind(john)) [input p2]
4. ! [X0] : ((quiet(X0) | ~tall(X0)) => ~quiet(X0)) [input p3]
... | 0 |
Everyone who is both not calm and wise is not kind.
If fred is not old then susan is either not old or not funny and vice versa.
If lucy is both not patient and wise then mary is not old or rich.
Everyone who is not generous or humble is not funny or creative and vice versa.
If someone is either not creative or brave t... | Alice is wise. | neutral | (![X]:((~calm(X)&wise(X))=>~kind(X)))&
((~old(fred))<=>((~old(susan)<~>~funny(susan))))&
(((~patient(lucy)&wise(lucy)))=>((~old(mary)|rich(mary))))&
(![X]:((~generous(X)|humble(X))<=>(~funny(X)|creative(X))))&
((?[X]:((~creative(X)<~>brave(X))))=>(?[X]:((~curious(X)|~humble(X)))))&
((?[X]:(~creative(X)))=>((~kind(fred)... | wise(alice) | [] | null | 0 |
Everyone who is not quiet or not patient is not happy and vice versa. Everyone who is not curious or not calm is not brave. Everyone who is either humble or not patient is both not rich and old. If someone is both not quiet and rich then someone is humble and vice versa. Everyone who is both not kind and not brave is r... | Mary is not creative. | entailment | (![X]:((~quiet(X)|~patient(X))<=>~happy(X)))&
(![X]:((~curious(X)|~calm(X))=>~brave(X)))&
(![X]:((humble(X)<~>~patient(X))=>(~rich(X)&old(X))))&
((?[X]:((~quiet(X)&rich(X))))<=>(?[X]:(humble(X))))&
(![X]:((~kind(X)&~brave(X))=>rich(X)))&
((?[X]:((brave(X)<~>patient(X))))=>(?[X]:(~curious(X))))&
(![X]:((funny(X)&~kind(X... | ~creative(mary) | [
"p6",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 902409725629422577462923
% SZS output start Proof for 902409725629422577462923
7. ! [X0] : ((~kind(X0) & funny(X0)) <=> (creative(X0) & tall(X0))) [input p6]
10. ! [X0] : ((funny(X0) | ~happy(X0)) => (~tall(X0) & ~creative(X0))) [input p9]
14. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (rich(X... | 0 |
If someone is both not tall and not generous then someone is both curious and not rich and vice versa.
If paul is either not curious or quiet then susan is both not wise and not curious.
Everyone who is either curious or funny is funny and vice versa.
If alice is either quiet or wise then someone is both curious and no... | Mary is not generous. | contradiction | ((?[X]:((~tall(X)&~generous(X))))<=>(?[X]:((curious(X)&~rich(X)))))&
(((~curious(paul)<~>quiet(paul)))=>((~wise(susan)&~curious(susan))))&
(![X]:((curious(X)<~>funny(X))<=>funny(X)))&
(((quiet(alice)<~>wise(alice)))<=>(?[X]:((curious(X)&~rich(X)))))&
(![X]:(~wise(X)<=>(brave(X)&generous(X))))&
(((~kind(john)|~quiet(joh... | ~generous(mary) | [
"p2",
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1353877747712883240519875
% SZS output start Proof for 1353877747712883240519875
3. ! [X0] : ((curious(X0) <~> funny(X0)) <=> funny(X0)) [input p2]
5. ! [X0] : (~wise(X0) <=> (generous(X0) & brave(X0))) [input p4]
17. ~wise(mary) <~> curious(mary) [input p16]
25. ~generous(mary) [input hy... | 0 |
Everyone who is not kind or not creative is both calm and curious and vice versa. If someone is happy then someone is both not curious and old and vice versa. If someone is either generous or funny then lucy is happy. If lucy is brave or not brave then someone is not wise and vice versa. If alice is both patient and st... | Alice is happy. | contradiction | (![X]:((~kind(X)|~creative(X))<=>(calm(X)&curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~curious(X)&old(X)))))&
((?[X]:((generous(X)<~>funny(X))))=>(happy(lucy)))&
(((brave(lucy)|~brave(lucy)))<=>(?[X]:(~wise(X))))&
(((patient(alice)&strong(alice)))<=>((creative(alice)|~brave(alice))))&
(![X]:((~creative(X)&~quiet(X))=>(... | happy(alice) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6034882977243221449140389
% SZS output start Proof for 6034882977243221449140389
1. ! [X0] : ((~creative(X0) | ~kind(X0)) <=> (curious(X0) & calm(X0))) [input p0]
2. ? [X0] : happy(X0) <=> ? [X0] : (old(X0) & ~curious(X0)) [input p1]
8. ! [X0] : ((funny(X0) & ~creative(X0)) <=> (wise(X0) ... | 0 |
If alice is either humble or funny then alice is both not patient and not humble and vice versa.
If susan is both not rich and not strong then mary is either not happy or quiet and vice versa.
Everyone who is not calm is not creative or not old and vice versa.
If someone is both creative and not quiet then paul is curi... | Mary is not calm. | entailment | (((humble(alice)<~>funny(alice)))<=>((~patient(alice)&~humble(alice))))&
(((~rich(susan)&~strong(susan)))<=>((~happy(mary)<~>quiet(mary))))&
(![X]:(~calm(X)<=>(~creative(X)|~old(X))))&
((?[X]:((creative(X)&~quiet(X))))=>((curious(paul)|~curious(paul))))&
(![X]:((~rich(X)&generous(X))<=>(happy(X)&generous(X))))&
(![X]:(... | ~calm(mary) | [
"p1",
"p2",
"p4",
"p6",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5280906078525545423128329
% SZS output start Proof for 5280906078525545423128329
2. (~strong(susan) & ~rich(susan)) <=> (~happy(mary) <~> quiet(mary)) [input p1]
3. ! [X0] : (~calm(X0) <=> (~old(X0) | ~creative(X0))) [input p2]
5. ! [X0] : ((generous(X0) & ~rich(X0)) <=> (generous(X0) & h... | 0 |
Everyone who is strong or not curious is kind and vice versa.
Everyone who is not strong is wise and vice versa.
If someone is not happy or not patient then someone is not creative.
If someone is brave then lucy is either happy or not kind.
If someone is both creative and not brave then someone is old or strong.
Everyo... | John is quiet. | entailment | (![X]:((strong(X)|~curious(X))<=>kind(X)))&
(![X]:(~strong(X)<=>wise(X)))&
((?[X]:((~happy(X)|~patient(X))))=>(?[X]:(~creative(X))))&
((?[X]:(brave(X)))=>((happy(lucy)<~>~kind(lucy))))&
((?[X]:((creative(X)&~brave(X))))=>(?[X]:((old(X)|strong(X)))))&
(![X]:((funny(X)<~>curious(X))<=>(happy(X)&rich(X))))&
(![X]:((~funny... | quiet(john) | [
"p0",
"p1",
"p6",
"p10",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2783057124490947346376154
% SZS output start Proof for 2783057124490947346376154
1. ! [X0] : ((~curious(X0) | strong(X0)) <=> kind(X0)) [input p0]
2. ! [X0] : (~strong(X0) <=> wise(X0)) [input p1]
7. ! [X0] : ((~funny(X0) <~> ~old(X0)) <=> (strong(X0) <~> ~strong(X0))) [input p6]
11. ! [X... | 0 |
If someone is not kind then paul is both patient and quiet.
If paul is both not wise and old then someone is not humble.
Everyone who is either not rich or kind is not strong or not happy and vice versa.
If someone is either not kind or old then someone is either not wise or not brave and vice versa.
Everyone who is bo... | Lucy is funny. | neutral | ((?[X]:(~kind(X)))=>((patient(paul)&quiet(paul))))&
(((~wise(paul)&old(paul)))=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>kind(X))<=>(~strong(X)|~happy(X))))&
((?[X]:((~kind(X)<~>old(X))))<=>(?[X]:((~wise(X)<~>~brave(X)))))&
(![X]:((~creative(X)&strong(X))=>(~rich(X)&calm(X))))&
((?[X]:((happy(X)&strong(X))))=>((~old(jo... | funny(lucy) | [] | null | 0 |
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