premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not curious and not humble is either strong or curious and vice versa.
Everyone who is both not calm and generous is strong or tall.
If paul is not humble then susan is patient or not brave and vice versa.
If paul is either not rich or patient then fred is both happy and not rich.
If someone is tal... | Fred is not generous. | contradiction | (![X]:((~curious(X)&~humble(X))<=>(strong(X)<~>curious(X))))&
(![X]:((~calm(X)&generous(X))=>(strong(X)|tall(X))))&
((~humble(paul))<=>((patient(susan)|~brave(susan))))&
(((~rich(paul)<~>patient(paul)))=>((happy(fred)&~rich(fred))))&
((?[X]:(tall(X)))<=>(?[X]:(~curious(X))))&
((?[X]:((wise(X)|~happy(X))))<=>((kind(paul... | ~generous(fred) | [
"p0",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5921568127576136376803229
% SZS output start Proof for 5921568127576136376803229
1. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (strong(X0) <~> curious(X0))) [input p0]
13. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (humble(X0) | rich(X0))) [input p12]
14. ! [X0] : (~generous(X0) => (~patient(... | 0 |
Everyone who is not tall is not patient or old and vice versa. If someone is quiet or old then alice is both not creative and not funny and vice versa. Everyone who is happy or strong is old and vice versa. Everyone who is tall or rich is strong or creative. Everyone who is quiet is strong or not generous. Everyone who... | Alice is not humble. | contradiction | (![X]:(~tall(X)<=>(~patient(X)|old(X))))&
((?[X]:((quiet(X)|old(X))))<=>((~creative(alice)&~funny(alice))))&
(![X]:((happy(X)|strong(X))<=>old(X)))&
(![X]:((tall(X)|rich(X))=>(strong(X)|creative(X))))&
(![X]:(quiet(X)=>(strong(X)|~generous(X))))&
(![X]:((old(X)&rich(X))=>(brave(X)&patient(X))))&
((?[X]:((~rich(X)<~>~ha... | ~humble(alice) | [
"p0",
"p1",
"p2",
"p3",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8223421753916857493542309
% SZS output start Proof for 8223421753916857493542309
1. ! [X0] : (~tall(X0) <=> (old(X0) | ~patient(X0))) [input p0]
2. ? [X0] : (old(X0) | quiet(X0)) <=> (~funny(alice) & ~creative(alice)) [input p1]
3. ! [X0] : ((strong(X0) | happy(X0)) <=> old(X0)) [input p2... | 0 |
If fred is either generous or not humble then someone is both not wise and curious and vice versa. Everyone who is not creative or not rich is not happy or wise and vice versa. If someone is not old or not patient then someone is either tall or not happy and vice versa. Everyone who is both not generous and generous is... | Fred is not humble. | neutral | (((generous(fred)<~>~humble(fred)))<=>(?[X]:((~wise(X)&curious(X)))))&
(![X]:((~creative(X)|~rich(X))<=>(~happy(X)|wise(X))))&
((?[X]:((~old(X)|~patient(X))))<=>(?[X]:((tall(X)<~>~happy(X)))))&
(![X]:((~generous(X)&generous(X))=>(~creative(X)|~curious(X))))&
(((~rich(paul)|quiet(paul)))=>(?[X]:((funny(X)|~wise(X)))))&
... | ~humble(fred) | [] | null | 0 |
If susan is not happy or not brave then alice is not generous.
If fred is not rich or generous then fred is both tall and brave and vice versa.
Everyone who is both funny and kind is both curious and not funny and vice versa.
Everyone who is rich or brave is either not old or not tall.
If someone is not old or creative... | Alice is brave. | neutral | (((~happy(susan)|~brave(susan)))=>(~generous(alice)))&
(((~rich(fred)|generous(fred)))<=>((tall(fred)&brave(fred))))&
(![X]:((funny(X)&kind(X))<=>(curious(X)&~funny(X))))&
(![X]:((rich(X)|brave(X))=>(~old(X)<~>~tall(X))))&
((?[X]:((~old(X)|creative(X))))=>((~kind(paul)<~>~strong(paul))))&
(![X]:((~patient(X)|~kind(X))=... | brave(alice) | [] | null | 0 |
Everyone who is brave is both calm and old and vice versa.
Everyone who is not tall or humble is not generous or wise.
Everyone who is both humble and quiet is not brave.
Everyone who is either not quiet or not happy is both not humble and wise and vice versa.
If lucy is not quiet then susan is either funny or not crea... | Alice is happy. | entailment | (![X]:(brave(X)<=>(calm(X)&old(X))))&
(![X]:((~tall(X)|humble(X))=>(~generous(X)|wise(X))))&
(![X]:((humble(X)&quiet(X))=>~brave(X)))&
(![X]:((~quiet(X)<~>~happy(X))<=>(~humble(X)&wise(X))))&
((~quiet(lucy))<=>((funny(susan)<~>~creative(susan))))&
((?[X]:((~quiet(X)&patient(X))))=>((~calm(susan)|tall(susan))))&
(((~cre... | happy(alice) | [
"p0",
"p8",
"p9",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 159415695994819190264030
% SZS output start Proof for 159415695994819190264030
1. ! [X0] : (brave(X0) <=> (old(X0) & calm(X0))) [input p0]
9. ! [X0] : (~brave(X0) => (happy(X0) | ~humble(X0))) [input p8]
10. ! [X0] : ((creative(X0) | ~strong(X0)) => creative(X0)) [input p9]
12. ! [X0] : (... | 0 |
If lucy is either not patient or not old then susan is both not brave and not kind.
Everyone who is both not funny and not rich is both happy and funny.
Everyone who is not wise is both not tall and not rich.
Everyone who is both calm and creative is brave and vice versa.
Everyone who is both not brave and curious is b... | Susan is humble. | neutral | (((~patient(lucy)<~>~old(lucy)))=>((~brave(susan)&~kind(susan))))&
(![X]:((~funny(X)&~rich(X))=>(happy(X)&funny(X))))&
(![X]:(~wise(X)=>(~tall(X)&~rich(X))))&
(![X]:((calm(X)&creative(X))<=>brave(X)))&
(![X]:((~brave(X)&curious(X))=>(curious(X)&~quiet(X))))&
(![X]:(quiet(X)<=>(wise(X)|~patient(X))))&
(![X]:(tall(X)<=>~... | humble(susan) | [] | null | 0 |
If someone is both strong and happy then paul is either not funny or kind and vice versa.
If someone is both patient and not happy then lucy is curious or humble and vice versa.
Everyone who is not quiet or happy is either not rich or brave.
Everyone who is both not happy and not generous is generous or not generous an... | Paul is not curious. | neutral | ((?[X]:((strong(X)&happy(X))))<=>((~funny(paul)<~>kind(paul))))&
((?[X]:((patient(X)&~happy(X))))<=>((curious(lucy)|humble(lucy))))&
(![X]:((~quiet(X)|happy(X))=>(~rich(X)<~>brave(X))))&
(![X]:((~happy(X)&~generous(X))<=>(generous(X)|~generous(X))))&
((?[X]:((~generous(X)<~>~tall(X))))=>((creative(alice)<~>~quiet(alice... | ~curious(paul) | [] | null | 0 |
Everyone who is either generous or not kind is not wise or curious.
Everyone who is happy or strong is either creative or not patient and vice versa.
If john is either not brave or wise then fred is either not creative or not tall and vice versa.
If someone is not strong or not happy then someone is either creative or ... | Alice is kind. | neutral | (![X]:((generous(X)<~>~kind(X))=>(~wise(X)|curious(X))))&
(![X]:((happy(X)|strong(X))<=>(creative(X)<~>~patient(X))))&
(((~brave(john)<~>wise(john)))<=>((~creative(fred)<~>~tall(fred))))&
((?[X]:((~strong(X)|~happy(X))))=>(?[X]:((creative(X)<~>~happy(X)))))&
(![X]:((calm(X)|~happy(X))<=>~generous(X)))&
((?[X]:((~curiou... | kind(alice) | [] | null | 0 |
If mary is creative or kind then paul is rich.
Everyone who is both happy and kind is not quiet and vice versa.
Everyone who is old is either old or quiet and vice versa.
If fred is both strong and not rich then lucy is both not humble and tall and vice versa.
Everyone who is not humble or strong is both not happy and ... | Mary is not old. | neutral | (((creative(mary)|kind(mary)))=>(rich(paul)))&
(![X]:((happy(X)&kind(X))<=>~quiet(X)))&
(![X]:(old(X)<=>(old(X)<~>quiet(X))))&
(((strong(fred)&~rich(fred)))<=>((~humble(lucy)&tall(lucy))))&
(![X]:((~humble(X)|strong(X))<=>(~happy(X)&~curious(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|cur... | ~old(mary) | [] | null | 0 |
Everyone who is kind or not happy is either not kind or not old.
If someone is not curious or rich then fred is either humble or not creative.
If someone is humble then someone is not generous and vice versa.
If mary is both not tall and curious then someone is both wise and tall and vice versa.
Everyone who is not hap... | Paul is not creative. | neutral | (![X]:((kind(X)|~happy(X))=>(~kind(X)<~>~old(X))))&
((?[X]:((~curious(X)|rich(X))))=>((humble(fred)<~>~creative(fred))))&
((?[X]:(humble(X)))<=>(?[X]:(~generous(X))))&
(((~tall(mary)&curious(mary)))<=>(?[X]:((wise(X)&tall(X)))))&
(![X]:((~happy(X)|curious(X))<=>(~creative(X)<~>~funny(X))))&
(![X]:((~quiet(X)&~old(X))<=... | ~creative(paul) | [] | null | 0 |
Everyone who is not old or generous is patient.
If someone is not patient then fred is both not old and not tall and vice versa.
Everyone who is either old or generous is both creative and brave.
Everyone who is both quiet and curious is not patient or not brave.
Everyone who is not quiet or not creative is either curi... | Mary is not generous. | contradiction | (![X]:((~old(X)|generous(X))=>patient(X)))&
((?[X]:(~patient(X)))<=>((~old(fred)&~tall(fred))))&
(![X]:((old(X)<~>generous(X))=>(creative(X)&brave(X))))&
(![X]:((quiet(X)&curious(X))=>(~patient(X)|~brave(X))))&
(![X]:((~quiet(X)|~creative(X))=>(curious(X)<~>~rich(X))))&
(((~humble(susan)&~old(susan)))<=>(~happy(mary)))... | ~generous(mary) | [
"p0",
"p1",
"p2",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2605705196863590822870286
% SZS output start Proof for 2605705196863590822870286
1. ! [X0] : ((generous(X0) | ~old(X0)) => patient(X0)) [input p0]
2. ? [X0] : ~patient(X0) <=> (~tall(fred) & ~old(fred)) [input p1]
3. ! [X0] : ((old(X0) <~> generous(X0)) => (brave(X0) & creative(X0))) [inp... | 0 |
Everyone who is generous or creative is rich or not humble and vice versa.
Everyone who is not happy is humble.
If mary is either not rich or not humble then john is both rich and tall and vice versa.
If someone is generous then someone is either creative or not brave and vice versa.
Everyone who is not funny is either... | Lucy is not quiet. | contradiction | (![X]:((generous(X)|creative(X))<=>(rich(X)|~humble(X))))&
(![X]:(~happy(X)=>humble(X)))&
(((~rich(mary)<~>~humble(mary)))<=>((rich(john)&tall(john))))&
((?[X]:(generous(X)))<=>(?[X]:((creative(X)<~>~brave(X)))))&
(![X]:(~funny(X)<=>(~strong(X)<~>funny(X))))&
(((~creative(susan)&wise(susan)))=>(?[X]:((~quiet(X)|~funny(... | ~quiet(lucy) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1333993720317098238625034
% SZS output start Proof for 1333993720317098238625034
5. ! [X0] : (~funny(X0) <=> (~strong(X0) <~> funny(X0))) [input p4]
8. ! [X0] : (~strong(X0) <=> (~strong(X0) <~> ~quiet(X0))) [input p7]
22. ~quiet(lucy) [input hypothesis]
46. ! [X0] : ((~funny(X0) | ((~str... | 0 |
If paul is calm or not brave then paul is kind. If john is humble then someone is kind or not rich and vice versa. Everyone who is both not rich and not funny is both calm and patient and vice versa. Everyone who is either not calm or humble is generous or not generous. Everyone who is either not quiet or funny is both... | Fred is not happy. | neutral | (((calm(paul)|~brave(paul)))=>(kind(paul)))&
((humble(john))<=>(?[X]:((kind(X)|~rich(X)))))&
(![X]:((~rich(X)&~funny(X))<=>(calm(X)&patient(X))))&
(![X]:((~calm(X)<~>humble(X))=>(generous(X)|~generous(X))))&
(![X]:((~quiet(X)<~>funny(X))<=>(~old(X)&~patient(X))))&
(((~curious(lucy)<~>humble(lucy)))<=>((brave(john)&gene... | ~happy(fred) | [] | null | 0 |
If john is happy or old then someone is creative.
If mary is kind then someone is not generous or generous and vice versa.
Everyone who is quiet or not humble is both creative and strong and vice versa.
Everyone who is either not creative or strong is not quiet.
Everyone who is not old or tall is kind or not wise and v... | Paul is not strong. | neutral | (((happy(john)|old(john)))=>(?[X]:(creative(X))))&
((kind(mary))<=>(?[X]:((~generous(X)|generous(X)))))&
(![X]:((quiet(X)|~humble(X))<=>(creative(X)&strong(X))))&
(![X]:((~creative(X)<~>strong(X))=>~quiet(X)))&
(![X]:((~old(X)|tall(X))<=>(kind(X)|~wise(X))))&
(![X]:((creative(X)<~>kind(X))<=>(generous(X)|~strong(X))))&... | ~strong(paul) | [] | null | 0 |
Everyone who is quiet is rich or not patient.
If someone is quiet or tall then someone is either not humble or humble.
Everyone who is either not kind or kind is both not funny and happy and vice versa.
Everyone who is not calm or patient is both humble and strong.
Everyone who is quiet is not rich or not calm and vice... | Susan is not humble. | entailment | (![X]:(quiet(X)=>(rich(X)|~patient(X))))&
((?[X]:((quiet(X)|tall(X))))=>(?[X]:((~humble(X)<~>humble(X)))))&
(![X]:((~kind(X)<~>kind(X))<=>(~funny(X)&happy(X))))&
(![X]:((~calm(X)|patient(X))=>(humble(X)&strong(X))))&
(![X]:(quiet(X)<=>(~rich(X)|~calm(X))))&
(![X]:((~patient(X)|strong(X))<=>(generous(X)<~>patient(X))))&... | ~humble(susan) | [
"p4",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7897650466674416945139415
% SZS output start Proof for 7897650466674416945139415
5. ! [X0] : (quiet(X0) <=> (~calm(X0) | ~rich(X0))) [input p4]
7. ! [X0] : ((~rich(X0) | curious(X0)) => (calm(X0) & ~patient(X0))) [input p6]
11. ? [X0] : (~funny(X0) & ~quiet(X0)) <=> ? [X0] : (humble(X0) &... | 0 |
Everyone who is humble or not humble is not strong and vice versa. Everyone who is old or generous is either creative or not calm. If someone is either creative or strong then mary is not brave. Everyone who is both humble and happy is either not kind or funny and vice versa. Everyone who is not quiet is not brave or n... | Susan is not kind. | contradiction | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((old(X)|generous(X))=>(creative(X)<~>~calm(X))))&
((?[X]:((creative(X)<~>strong(X))))=>(~brave(mary)))&
(![X]:((humble(X)&happy(X))<=>(~kind(X)<~>funny(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
(![X]:(old(X)<=>(generous(X)|~old(X))))&
(![X]:(~rich(X)=>(strong... | ~kind(susan) | [
"p0",
"p4",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2613607648099912663873622
% SZS output start Proof for 2613607648099912663873622
1. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~strong(X0)) [input p0]
5. ! [X0] : (~quiet(X0) <=> (~rich(X0) | ~brave(X0))) [input p4]
6. ! [X0] : (old(X0) <=> (~old(X0) | generous(X0))) [input p5]
10. ? [X0] :... | 0 |
Everyone who is both not rich and curious is curious or not creative. If paul is not tall or tall then john is not generous and vice versa. If paul is old then someone is both not rich and not funny and vice versa. Everyone who is both not brave and calm is either not brave or kind. If someone is not tall then someone ... | Susan is not brave. | neutral | (![X]:((~rich(X)&curious(X))=>(curious(X)|~creative(X))))&
(((~tall(paul)|tall(paul)))<=>(~generous(john)))&
((old(paul))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((~brave(X)&calm(X))=>(~brave(X)<~>kind(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((~creative(X)&~curious(X)))))&
(((~creative(mary)|creative(mary)))=>(calm(paul)))&
... | ~brave(susan) | [] | null | 0 |
Everyone who is generous is either old or not calm and vice versa.
Everyone who is not old is both quiet and strong.
If someone is either rich or kind then john is either kind or wise.
Everyone who is patient or not happy is calm and vice versa.
If alice is calm then someone is wise.
Everyone who is rich or creative is... | Alice is quiet. | entailment | (![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X))<=>calm(X)))&
((calm(alice))=>(?[X]:(wise(X))))&
(![X]:((rich(X)|creative(X))=>happy(X)))&
((?[X]:((creative(X)<~>~generous(X))))<=>((~curious(mar... | quiet(alice) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3679444922534305777677073
% SZS output start Proof for 3679444922534305777677073
2. ! [X0] : (~old(X0) => (strong(X0) & quiet(X0))) [input p1]
11. ! [X0] : ((curious(X0) & ~old(X0)) <=> (rich(X0) | ~quiet(X0))) [input p10]
23. ~quiet(alice) [input hypothesis]
25. ! [X0] : ((strong(X0) & q... | 0 |
Everyone who is not quiet or not humble is both not curious and humble.
Everyone who is wise or not kind is brave.
Everyone who is not calm is both generous and not wise and vice versa.
Everyone who is either old or calm is brave and vice versa.
Everyone who is either not quiet or generous is not curious or generous.
E... | Lucy is old. | contradiction | (![X]:((~quiet(X)|~humble(X))=>(~curious(X)&humble(X))))&
(![X]:((wise(X)|~kind(X))=>brave(X)))&
(![X]:(~calm(X)<=>(generous(X)&~wise(X))))&
(![X]:((old(X)<~>calm(X))<=>brave(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(~curious(X)|generous(X))))&
(![X]:((~humble(X)|curious(X))<=>(funny(X)&calm(X))))&
(![X]:((creative(X)|~... | old(lucy) | [
"p0",
"p7",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1642458961330834729166019
% SZS output start Proof for 1642458961330834729166019
1. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (humble(X0) & ~curious(X0))) [input p0]
8. ! [X0] : (~curious(X0) <=> ~old(X0)) [input p7]
12. ! [X0] : ((~strong(X0) | happy(X0)) <=> (quiet(X0) <~> curious(X0))) [... | 0 |
Everyone who is not happy or not tall is strong or wise and vice versa.
Everyone who is not creative or happy is humble.
If someone is both not curious and not calm then someone is not quiet or generous and vice versa.
If someone is funny or not tall then someone is either calm or brave and vice versa.
Everyone who is ... | Lucy is not calm. | neutral | (![X]:((~happy(X)|~tall(X))<=>(strong(X)|wise(X))))&
(![X]:((~creative(X)|happy(X))=>humble(X)))&
((?[X]:((~curious(X)&~calm(X))))<=>(?[X]:((~quiet(X)|generous(X)))))&
((?[X]:((funny(X)|~tall(X))))<=>(?[X]:((calm(X)<~>brave(X)))))&
(![X]:((calm(X)&~kind(X))<=>(calm(X)|~patient(X))))&
((?[X]:((~funny(X)|humble(X))))<=>(... | ~calm(lucy) | [] | null | 0 |
Everyone who is either not wise or not old is either quiet or not calm.
If lucy is not creative or kind then someone is either not rich or not old and vice versa.
If someone is kind then someone is not rich or tall and vice versa.
If someone is either not calm or not happy then john is not brave or not quiet and vice v... | Paul is not quiet. | neutral | (![X]:((~wise(X)<~>~old(X))=>(quiet(X)<~>~calm(X))))&
(((~creative(lucy)|kind(lucy)))<=>(?[X]:((~rich(X)<~>~old(X)))))&
((?[X]:(kind(X)))<=>(?[X]:((~rich(X)|tall(X)))))&
((?[X]:((~calm(X)<~>~happy(X))))<=>((~brave(john)|~quiet(john))))&
(((~funny(john)<~>kind(john)))<=>((happy(susan)&~humble(susan))))&
(![X]:((~wise(X)... | ~quiet(paul) | [] | null | 0 |
Everyone who is tall or not generous is either not calm or old and vice versa.
If alice is either curious or generous then someone is either calm or not quiet.
If someone is both funny and old then someone is both wise and happy.
If mary is kind or not tall then someone is both funny and not old and vice versa.
Everyon... | Fred is calm. | contradiction | (![X]:((tall(X)|~generous(X))<=>(~calm(X)<~>old(X))))&
(((curious(alice)<~>generous(alice)))=>(?[X]:((calm(X)<~>~quiet(X)))))&
((?[X]:((funny(X)&old(X))))=>(?[X]:((wise(X)&happy(X)))))&
(((kind(mary)|~tall(mary)))<=>(?[X]:((funny(X)&~old(X)))))&
(![X]:(~kind(X)<=>(~patient(X)|creative(X))))&
(![X]:(creative(X)<=>wise(X... | calm(fred) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p11",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 92381202825304975313542
% SZS output start Proof for 92381202825304975313542
5. ! [X0] : (~kind(X0) <=> (creative(X0) | ~patient(X0))) [input p4]
6. ! [X0] : (creative(X0) <=> wise(X0)) [input p5]
7. ? [X0] : ~creative(X0) => (calm(fred) <~> ~generous(fred)) [input p6]
8. ? [X0] : (tall(X... | 0 |
Everyone who is either humble or not rich is not creative or not tall and vice versa.
Everyone who is patient or not quiet is both not kind and not rich and vice versa.
Everyone who is both humble and not strong is either creative or curious and vice versa.
Everyone who is both not creative and not tall is quiet or hap... | Susan is tall. | contradiction | (![X]:((humble(X)<~>~rich(X))<=>(~creative(X)|~tall(X))))&
(![X]:((patient(X)|~quiet(X))<=>(~kind(X)&~rich(X))))&
(![X]:((humble(X)&~strong(X))<=>(creative(X)<~>curious(X))))&
(![X]:((~creative(X)&~tall(X))<=>(quiet(X)|happy(X))))&
(((~generous(fred)|old(fred)))=>(?[X]:(happy(X))))&
(![X]:((calm(X)&~generous(X))<=>(cal... | tall(susan) | [
"p1",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1337731812805339026199547
% SZS output start Proof for 1337731812805339026199547
2. ! [X0] : ((~quiet(X0) | patient(X0)) <=> (~rich(X0) & ~kind(X0))) [input p1]
10. ! [X0] : ((~kind(X0) <~> patient(X0)) => (~tall(X0) & ~generous(X0))) [input p9]
13. ! [X0] : ((~rich(X0) & patient(X0)) => ... | 0 |
If john is calm or generous then someone is not happy.
Everyone who is not tall or creative is either creative or not calm.
If fred is old or not strong then someone is old or kind and vice versa.
Everyone who is both not creative and happy is both patient and not generous.
If alice is both brave and not funny then som... | Fred is happy. | contradiction | (((calm(john)|generous(john)))=>(?[X]:(~happy(X))))&
(![X]:((~tall(X)|creative(X))=>(creative(X)<~>~calm(X))))&
(((old(fred)|~strong(fred)))<=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~creative(X)&happy(X))=>(patient(X)&~generous(X))))&
(((brave(alice)&~funny(alice)))<=>(?[X]:(rich(X))))&
(![X]:(~happy(X)<=>(~creative(X)<~>... | happy(fred) | [
"p3",
"p5",
"p7",
"p10",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6144138212488533848702480
% SZS output start Proof for 6144138212488533848702480
4. ! [X0] : ((happy(X0) & ~creative(X0)) => (~generous(X0) & patient(X0))) [input p3]
6. ! [X0] : (~happy(X0) <=> (~creative(X0) <~> quiet(X0))) [input p5]
8. ! [X0] : ((quiet(X0) <~> generous(X0)) <=> (~stro... | 0 |
If someone is calm then someone is creative or not happy and vice versa. If someone is not rich or generous then fred is either not humble or not strong and vice versa. Everyone who is calm or not patient is not quiet. If mary is kind then someone is creative and vice versa. If paul is tall then susan is either calm or... | Alice is not kind. | entailment | ((?[X]:(calm(X)))<=>(?[X]:((creative(X)|~happy(X)))))&
((?[X]:((~rich(X)|generous(X))))<=>((~humble(fred)<~>~strong(fred))))&
(![X]:((calm(X)|~patient(X))=>~quiet(X)))&
((kind(mary))<=>(?[X]:(creative(X))))&
((tall(paul))<=>((calm(susan)<~>quiet(susan))))&
(![X]:(humble(X)<=>~strong(X)))&
((~kind(john))=>((~wise(susan)... | ~kind(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4608954260022533773221295
% SZS output start Proof for 4608954260022533773221295
11. ! [X0] : (~kind(X0) <=> (generous(X0) | ~generous(X0))) [input p10]
22. kind(alice) [input hypothesis]
55. ! [X0] : ((~kind(X0) | (~generous(X0) & generous(X0))) & ((generous(X0) | ~generous(X0)) | kind(X... | 0 |
If someone is quiet then fred is funny and vice versa. If someone is either not happy or creative then mary is either quiet or old and vice versa. If john is old or curious then paul is either tall or old. If someone is not kind or not curious then fred is either kind or not funny and vice versa. If someone is not happ... | Mary is wise. | entailment | ((?[X]:(quiet(X)))<=>(funny(fred)))&
((?[X]:((~happy(X)<~>creative(X))))<=>((quiet(mary)<~>old(mary))))&
(((old(john)|curious(john)))=>((tall(paul)<~>old(paul))))&
((?[X]:((~kind(X)|~curious(X))))<=>((kind(fred)<~>~funny(fred))))&
((?[X]:(~happy(X)))<=>((~rich(lucy)|~humble(lucy))))&
((generous(mary))<=>(?[X]:((rich(X)... | wise(mary) | [
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 23066327692881145917994
% SZS output start Proof for 23066327692881145917994
9. ! [X0] : (~wise(X0) => (quiet(X0) & kind(X0))) [input p8]
10. ! [X0] : ((~happy(X0) | ~quiet(X0)) <=> (happy(X0) | calm(X0))) [input p9]
13. ! [X0] : (~happy(X0) => (happy(X0) | ~patient(X0))) [input p12]
14. ... | 0 |
If lucy is either not wise or kind then mary is not generous or not happy and vice versa.
Everyone who is curious is both not tall and not kind and vice versa.
If someone is either strong or old then john is not curious and vice versa.
Everyone who is not strong or strong is not rich.
Everyone who is both not wise and ... | Fred is not creative. | neutral | (((~wise(lucy)<~>kind(lucy)))<=>((~generous(mary)|~happy(mary))))&
(![X]:(curious(X)<=>(~tall(X)&~kind(X))))&
((?[X]:((strong(X)<~>old(X))))<=>(~curious(john)))&
(![X]:((~strong(X)|strong(X))=>~rich(X)))&
(![X]:((~wise(X)&~old(X))=>~happy(X)))&
(![X]:((~strong(X)<~>kind(X))<=>(~strong(X)&strong(X))))&
((?[X]:((patient(... | ~creative(fred) | [] | null | 0 |
Everyone who is not tall or not calm is both not humble and not tall. If someone is not creative or wise then someone is both not humble and quiet and vice versa. If someone is both patient and not funny then paul is either not old or happy and vice versa. If someone is not funny then john is happy or funny and vice ve... | Lucy is not brave. | neutral | (![X]:((~tall(X)|~calm(X))=>(~humble(X)&~tall(X))))&
((?[X]:((~creative(X)|wise(X))))<=>(?[X]:((~humble(X)&quiet(X)))))&
((?[X]:((patient(X)&~funny(X))))<=>((~old(paul)<~>happy(paul))))&
((?[X]:(~funny(X)))<=>((happy(john)|funny(john))))&
((?[X]:((funny(X)<~>~brave(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((~stro... | ~brave(lucy) | [] | null | 0 |
If susan is both strong and patient then alice is not old.
If john is both not tall and brave then someone is not strong and vice versa.
If someone is either generous or not funny then fred is either tall or not curious.
Everyone who is not curious is generous.
Everyone who is either brave or humble is either not stron... | Paul is quiet. | contradiction | (((strong(susan)&patient(susan)))=>(~old(alice)))&
(((~tall(john)&brave(john)))<=>(?[X]:(~strong(X))))&
((?[X]:((generous(X)<~>~funny(X))))=>((tall(fred)<~>~curious(fred))))&
(![X]:(~curious(X)=>generous(X)))&
(![X]:((brave(X)<~>humble(X))=>(~strong(X)<~>calm(X))))&
(![X]:((happy(X)&~patient(X))<=>(humble(X)<~>brave(X)... | quiet(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5833692009396877901354391
% SZS output start Proof for 5833692009396877901354391
22. humble(paul) & ~quiet(paul) [input p21]
25. quiet(paul) [input hypothesis]
126. ~quiet(paul) [cnf transformation 22]
131. quiet(paul) [cnf transformation 25]
224. $false [subsumption resolution 131,126]
%... | 0 |
Everyone who is both curious and patient is both not creative and not happy.
Everyone who is tall or not generous is curious and vice versa.
Everyone who is not strong or not wise is old.
If paul is both curious and not patient then fred is strong.
Everyone who is either funny or quiet is old or not tall and vice versa... | Mary is not quiet. | entailment | (![X]:((curious(X)&patient(X))=>(~creative(X)&~happy(X))))&
(![X]:((tall(X)|~generous(X))<=>curious(X)))&
(![X]:((~strong(X)|~wise(X))=>old(X)))&
(((curious(paul)&~patient(paul)))=>(strong(fred)))&
(![X]:((funny(X)<~>quiet(X))<=>(old(X)|~tall(X))))&
(![X]:((tall(X)&~happy(X))<=>(~humble(X)&~happy(X))))&
(![X]:(funny(X)... | ~quiet(mary) | [
"p2",
"p4",
"p6",
"p8",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6703206460614573896138517
% SZS output start Proof for 6703206460614573896138517
3. ! [X0] : ((~wise(X0) | ~strong(X0)) => old(X0)) [input p2]
5. ! [X0] : ((funny(X0) <~> quiet(X0)) <=> (~tall(X0) | old(X0))) [input p4]
7. ! [X0] : (funny(X0) <=> (old(X0) | ~calm(X0))) [input p6]
9. ! [X0... | 0 |
If someone is not rich or happy then someone is either not generous or not patient and vice versa.
If someone is either not funny or wise then alice is either not strong or wise.
Everyone who is either not humble or not quiet is both tall and not wise and vice versa.
If mary is kind then someone is kind.
If lucy is bot... | Paul is not creative. | contradiction | ((?[X]:((~rich(X)|happy(X))))<=>(?[X]:((~generous(X)<~>~patient(X)))))&
((?[X]:((~funny(X)<~>wise(X))))=>((~strong(alice)<~>wise(alice))))&
(![X]:((~humble(X)<~>~quiet(X))<=>(tall(X)&~wise(X))))&
((kind(mary))=>(?[X]:(kind(X))))&
(((~calm(lucy)&brave(lucy)))=>((~kind(fred)&~wise(fred))))&
(![X]:((creative(X)<~>~tall(X)... | ~creative(paul) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1911877843632015116941289
% SZS output start Proof for 1911877843632015116941289
7. ! [X0] : ((creative(X0) & ~rich(X0)) <=> strong(X0)) [input p6]
16. ! [X0] : ((~humble(X0) & humble(X0)) <=> (~strong(X0) | humble(X0))) [input p15]
23. ~creative(paul) [input hypothesis]
50. ! [X0] : (((c... | 0 |
Everyone who is rich or not brave is either patient or not humble.
Everyone who is not rich or strong is both calm and quiet.
Everyone who is both old and creative is either not tall or tall and vice versa.
Everyone who is either not kind or not humble is quiet and vice versa.
Everyone who is brave is both curious and ... | Alice is tall. | contradiction | (![X]:((rich(X)|~brave(X))=>(patient(X)<~>~humble(X))))&
(![X]:((~rich(X)|strong(X))=>(calm(X)&quiet(X))))&
(![X]:((old(X)&creative(X))<=>(~tall(X)<~>tall(X))))&
(![X]:((~kind(X)<~>~humble(X))<=>quiet(X)))&
(![X]:(brave(X)=>(curious(X)&~generous(X))))&
(![X]:((funny(X)|~brave(X))=>(old(X)<~>~brave(X))))&
((?[X]:((~wise... | tall(alice) | [
"p2",
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3446853367653253219622362
% SZS output start Proof for 3446853367653253219622362
3. ! [X0] : ((creative(X0) & old(X0)) <=> (~tall(X0) <~> tall(X0))) [input p2]
5. ! [X0] : (brave(X0) => (~generous(X0) & curious(X0))) [input p4]
6. ! [X0] : ((~brave(X0) | funny(X0)) => (old(X0) <~> ~brave(... | 0 |
Everyone who is either not creative or not old is both not calm and not strong.
If someone is both not humble and creative then someone is both not happy and wise and vice versa.
Everyone who is both not strong and humble is both old and not humble and vice versa.
Everyone who is not kind or not creative is not creativ... | Fred is wise. | neutral | (![X]:((~creative(X)<~>~old(X))=>(~calm(X)&~strong(X))))&
((?[X]:((~humble(X)&creative(X))))<=>(?[X]:((~happy(X)&wise(X)))))&
(![X]:((~strong(X)&humble(X))<=>(old(X)&~humble(X))))&
(![X]:((~kind(X)|~creative(X))=>(~creative(X)|wise(X))))&
(![X]:((~patient(X)&~wise(X))<=>~creative(X)))&
(![X]:((~tall(X)&~happy(X))=>stro... | wise(fred) | [] | null | 0 |
Everyone who is both generous and not strong is either not brave or not tall.
Everyone who is either not patient or calm is either not rich or calm and vice versa.
Everyone who is either not happy or not rich is either not kind or rich.
If someone is either not rich or not humble then alice is not happy.
Everyone who i... | Mary is not funny. | contradiction | (![X]:((generous(X)&~strong(X))=>(~brave(X)<~>~tall(X))))&
(![X]:((~patient(X)<~>calm(X))<=>(~rich(X)<~>calm(X))))&
(![X]:((~happy(X)<~>~rich(X))=>(~kind(X)<~>rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))=>(~happy(alice)))&
(![X]:((wise(X)&humble(X))=>(~calm(X)&brave(X))))&
((?[X]:((~funny(X)|generous(X))))<=>((rich(ma... | ~funny(mary) | [
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3387370121370729802772954
% SZS output start Proof for 3387370121370729802772954
6. ? [X0] : (generous(X0) | ~funny(X0)) <=> (~patient(mary) & rich(mary)) [input p5]
19. ~rich(mary) [input p18]
24. ~funny(mary) [input hypothesis]
46. (? [X0] : (generous(X0) | ~funny(X0)) | (patient(mary) ... | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not brave then someone is not wise or patient.
If someone is not patient or not calm then someone is both generous and kind.
Everyone who is either tall or rich is not happy.
Everyone who is brave or not funny is not wise or creative and vic... | Mary is calm. | entailment | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)|patient(X)))))&
((?[X]:((~patient(X)|~calm(X))))=>(?[X]:((generous(X)&kind(X)))))&
(![X]:((tall(X)<~>rich(X))=>~happy(X)))&
(![X]:((brave(X)|~funny(X))<=>(~wise(X)|creative(X))))&
(![X]:(patient(X)=>(strong(X)<~>~old(X))))&
... | calm(mary) | [
"p6",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3875060691108849458740757
% SZS output start Proof for 3875060691108849458740757
7. ! [X0] : ((creative(X0) <~> calm(X0)) <=> (~creative(X0) & ~quiet(X0))) [input p6]
12. ! [X0] : (~funny(X0) <=> (quiet(X0) | ~happy(X0))) [input p11]
24. ~funny(mary) <~> ~creative(mary) [input p23]
25. ~c... | 0 |
If mary is both tall and not humble then someone is either not wise or not generous.
Everyone who is not humble or not happy is both not quiet and not happy and vice versa.
If john is both not calm and old then mary is old or creative.
If someone is either strong or wise then alice is either not quiet or not creative a... | Alice is not old. | contradiction | (((tall(mary)&~humble(mary)))=>(?[X]:((~wise(X)<~>~generous(X)))))&
(![X]:((~humble(X)|~happy(X))<=>(~quiet(X)&~happy(X))))&
(((~calm(john)&old(john)))=>((old(mary)|creative(mary))))&
((?[X]:((strong(X)<~>wise(X))))<=>((~quiet(alice)<~>~creative(alice))))&
(![X]:((strong(X)<~>~humble(X))<=>curious(X)))&
(![X]:((old(X)|... | ~old(alice) | [
"p1",
"p5",
"p8",
"p9",
"p10",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3446718879205043241788381
% SZS output start Proof for 3446718879205043241788381
2. ! [X0] : ((~happy(X0) | ~humble(X0)) <=> (~happy(X0) & ~quiet(X0))) [input p1]
6. ! [X0] : ((~tall(X0) | old(X0)) <=> (curious(X0) <~> ~humble(X0))) [input p5]
9. ! [X0] : (tall(X0) <=> (generous(X0) & cre... | 0 |
If someone is either not generous or creative then someone is either not generous or tall. If someone is quiet then mary is both strong and not patient and vice versa. If someone is both strong and rich then john is both not creative and not calm and vice versa. Everyone who is both quiet and tall is happy or patient a... | Mary is not quiet. | contradiction | ((?[X]:((~generous(X)<~>creative(X))))=>(?[X]:((~generous(X)<~>tall(X)))))&
((?[X]:(quiet(X)))<=>((strong(mary)&~patient(mary))))&
((?[X]:((strong(X)&rich(X))))<=>((~creative(john)&~calm(john))))&
(![X]:((quiet(X)&tall(X))<=>(happy(X)|patient(X))))&
(![X]:((patient(X)|~tall(X))=>quiet(X)))&
((?[X]:((kind(X)|~rich(X))))... | ~quiet(mary) | [
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4747402089670950443488687
% SZS output start Proof for 4747402089670950443488687
5. ! [X0] : ((~tall(X0) | patient(X0)) => quiet(X0)) [input p4]
21. ~tall(mary) [input p20]
25. ~quiet(mary) [input hypothesis]
31. ! [X0] : (quiet(X0) | (tall(X0) & ~patient(X0))) [ennf transformation 5]
98.... | 0 |
Everyone who is both quiet and not tall is either happy or not creative.
Everyone who is both not calm and happy is rich.
Everyone who is both rich and kind is generous or not old and vice versa.
If susan is either humble or not curious then someone is both not quiet and quiet and vice versa.
If someone is both not fun... | Susan is funny. | neutral | (![X]:((quiet(X)&~tall(X))=>(happy(X)<~>~creative(X))))&
(![X]:((~calm(X)&happy(X))=>rich(X)))&
(![X]:((rich(X)&kind(X))<=>(generous(X)|~old(X))))&
(((humble(susan)<~>~curious(susan)))<=>(?[X]:((~quiet(X)&quiet(X)))))&
((?[X]:((~funny(X)&~wise(X))))<=>(?[X]:((~generous(X)<~>~happy(X)))))&
(![X]:(~curious(X)=>(humble(X)... | funny(susan) | [] | null | 0 |
Everyone who is not strong is not brave or wise and vice versa.
Everyone who is either happy or funny is both curious and humble and vice versa.
If someone is patient or not creative then lucy is creative or not rich and vice versa.
Everyone who is not happy is either not curious or kind.
Everyone who is both curious a... | Alice is kind. | neutral | (![X]:(~strong(X)<=>(~brave(X)|wise(X))))&
(![X]:((happy(X)<~>funny(X))<=>(curious(X)&humble(X))))&
((?[X]:((patient(X)|~creative(X))))<=>((creative(lucy)|~rich(lucy))))&
(![X]:(~happy(X)=>(~curious(X)<~>kind(X))))&
(![X]:((curious(X)&~tall(X))=>(quiet(X)<~>~brave(X))))&
(((~old(paul)|~calm(paul)))<=>((~tall(lucy)<~>fu... | kind(alice) | [] | null | 0 |
If someone is quiet then john is not rich or not wise.
If someone is either happy or not old then paul is both calm and not humble.
Everyone who is strong or not patient is brave and vice versa.
Everyone who is both rich and creative is old and vice versa.
Everyone who is patient or brave is either kind or not humble.
... | John is not patient. | contradiction | ((?[X]:(quiet(X)))=>((~rich(john)|~wise(john))))&
((?[X]:((happy(X)<~>~old(X))))=>((calm(paul)&~humble(paul))))&
(![X]:((strong(X)|~patient(X))<=>brave(X)))&
(![X]:((rich(X)&creative(X))<=>old(X)))&
(![X]:((patient(X)|brave(X))=>(kind(X)<~>~humble(X))))&
(((~patient(paul)|humble(paul)))<=>((calm(john)<~>funny(john))))&... | ~patient(john) | [
"p2",
"p4",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3399856319483694585555896
% SZS output start Proof for 3399856319483694585555896
3. ! [X0] : ((~patient(X0) | strong(X0)) <=> brave(X0)) [input p2]
5. ! [X0] : ((brave(X0) | patient(X0)) => (kind(X0) <~> ~humble(X0))) [input p4]
12. ! [X0] : ((~calm(X0) | tall(X0)) => ~curious(X0)) [input... | 0 |
Everyone who is not creative or patient is tall or not happy and vice versa.
Everyone who is not humble is wise.
Everyone who is either old or not patient is either kind or not tall and vice versa.
If alice is both not kind and not creative then fred is both not generous and not brave.
If fred is not happy or quiet the... | Fred is not brave. | neutral | (![X]:((~creative(X)|patient(X))<=>(tall(X)|~happy(X))))&
(![X]:(~humble(X)=>wise(X)))&
(![X]:((old(X)<~>~patient(X))<=>(kind(X)<~>~tall(X))))&
(((~kind(alice)&~creative(alice)))=>((~generous(fred)&~brave(fred))))&
(((~happy(fred)|quiet(fred)))<=>(?[X]:(~happy(X))))&
((?[X]:((humble(X)&~kind(X))))<=>(?[X]:((curious(X)|... | ~brave(fred) | [] | null | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is either patient or funny then someone is both not funny and not happy.
Everyone who is both not creative and calm is both not rich and kind and vice versa.
Everyone who is either creative or not brave is either not hap... | John is not happy. | contradiction | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((patient(paul)<~>funny(paul)))=>(?[X]:((~funny(X)&~happy(X)))))&
(![X]:((~creative(X)&calm(X))<=>(~rich(X)&kind(X))))&
(![X]:((creative(X)<~>~brave(X))<=>(~happy(X)<~>~rich(X))))&
(((~tall(john)|~quiet(john)))=>((creative(alice)|tall(alice))))&... | ~happy(john) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 109774255814028690044019
% SZS output start Proof for 109774255814028690044019
1. ! [X0] : ((~strong(X0) <~> ~kind(X0)) => ~rich(X0)) [input p0]
2. ! [X0] : (humble(X0) => brave(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~creative(X0)) <=> (kind(X0) & ~rich(X0))) [input p3]
5. ! [X0] : ((cr... | 0 |
Everyone who is both not tall and old is not humble.
If lucy is both kind and happy then susan is either not kind or quiet and vice versa.
Everyone who is not tall or not quiet is funny or rich and vice versa.
Everyone who is not creative is old or tall and vice versa.
If mary is either wise or not patient then john is... | Mary is not funny. | neutral | (![X]:((~tall(X)&old(X))=>~humble(X)))&
(((kind(lucy)&happy(lucy)))<=>((~kind(susan)<~>quiet(susan))))&
(![X]:((~tall(X)|~quiet(X))<=>(funny(X)|rich(X))))&
(![X]:(~creative(X)<=>(old(X)|tall(X))))&
(((wise(mary)<~>~patient(mary)))<=>((old(john)<~>~old(john))))&
(![X]:((~funny(X)|~wise(X))<=>(curious(X)|~wise(X))))&
(((... | ~funny(mary) | [] | null | 0 |
If someone is both not happy and not kind then someone is rich and vice versa.
If someone is happy or old then john is funny or tall.
If someone is happy or strong then john is funny or humble.
If someone is both happy and curious then paul is curious and vice versa.
Everyone who is either brave or not strong is strong... | John is not curious. | entailment | ((?[X]:((~happy(X)&~kind(X))))<=>(?[X]:(rich(X))))&
((?[X]:((happy(X)|old(X))))=>((funny(john)|tall(john))))&
((?[X]:((happy(X)|strong(X))))=>((funny(john)|humble(john))))&
((?[X]:((happy(X)&curious(X))))<=>(curious(paul)))&
(![X]:((brave(X)<~>~strong(X))=>(strong(X)|~humble(X))))&
(![X]:((happy(X)<~>~quiet(X))=>(happy... | ~curious(john) | [
"p1",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7063459314424189220642558
% SZS output start Proof for 7063459314424189220642558
2. ? [X0] : (old(X0) | happy(X0)) => (tall(john) | funny(john)) [input p1]
10. ! [X0] : (curious(X0) => ~funny(X0)) [input p9]
15. ! [X0] : ((~tall(X0) & strong(X0)) <=> (~strong(X0) | strong(X0))) [input p14... | 0 |
If alice is rich then john is both curious and quiet and vice versa. Everyone who is tall is not kind or tall and vice versa. Everyone who is either not curious or happy is both strong and not curious. If someone is not old or wise then someone is both not brave and creative and vice versa. If someone is calm then fred... | Fred is not curious. | entailment | ((rich(alice))<=>((curious(john)&quiet(john))))&
(![X]:(tall(X)<=>(~kind(X)|tall(X))))&
(![X]:((~curious(X)<~>happy(X))=>(strong(X)&~curious(X))))&
((?[X]:((~old(X)|wise(X))))<=>(?[X]:((~brave(X)&creative(X)))))&
((?[X]:(calm(X)))<=>((~calm(fred)&funny(fred))))&
((?[X]:((~rich(X)<~>~generous(X))))<=>((kind(alice)<~>~ta... | ~curious(fred) | [
"p4",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 77050332406451258223664
% SZS output start Proof for 77050332406451258223664
5. ? [X0] : calm(X0) <=> (funny(fred) & ~calm(fred)) [input p4]
9. ! [X0] : ((strong(X0) | ~calm(X0)) => ~curious(X0)) [input p8]
20. ~happy(fred) & ~funny(fred) [input p19]
25. curious(fred) [input hypothesis]
3... | 0 |
Everyone who is both not curious and kind is creative and vice versa. Everyone who is not old is not brave and vice versa. Everyone who is both not old and wise is rich or not old. If someone is not brave or not patient then fred is old and vice versa. If lucy is not creative then fred is not wise and vice versa. Every... | Fred is not humble. | neutral | (![X]:((~curious(X)&kind(X))<=>creative(X)))&
(![X]:(~old(X)<=>~brave(X)))&
(![X]:((~old(X)&wise(X))=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patient(X))=>(tall(X)|curious(X))))&
(![X]... | ~humble(fred) | [] | null | 0 |
If someone is either not funny or wise then fred is not funny or curious. If someone is not brave then someone is either calm or not curious. Everyone who is humble or not brave is not kind and vice versa. If fred is either not patient or old then john is not rich. Everyone who is both kind and curious is either not fu... | Susan is creative. | entailment | ((?[X]:((~funny(X)<~>wise(X))))=>((~funny(fred)|curious(fred))))&
((?[X]:(~brave(X)))=>(?[X]:((calm(X)<~>~curious(X)))))&
(![X]:((humble(X)|~brave(X))<=>~kind(X)))&
(((~patient(fred)<~>old(fred)))=>(~rich(john)))&
(![X]:((kind(X)&curious(X))=>(~funny(X)<~>patient(X))))&
(((old(lucy)<~>strong(lucy)))=>(?[X]:((~humble(X)... | creative(susan) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 263783944416784707454813
% SZS output start Proof for 263783944416784707454813
16. ! [X0] : ((~kind(X0) | ~creative(X0)) => (creative(X0) & humble(X0))) [input p15]
25. ~creative(susan) [input hypothesis]
43. ! [X0] : ((creative(X0) & humble(X0)) | (kind(X0) & creative(X0))) [ennf transfo... | 0 |
Everyone who is not strong or strong is calm or wise.
If someone is both not rich and old then someone is wise or calm and vice versa.
If susan is both old and not tall then lucy is both not humble and strong.
If paul is both quiet and not humble then someone is not brave or creative and vice versa.
If someone is eithe... | Paul is not creative. | entailment | (![X]:((~strong(X)|strong(X))=>(calm(X)|wise(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:((wise(X)|calm(X)))))&
(((old(susan)&~tall(susan)))=>((~humble(lucy)&strong(lucy))))&
(((quiet(paul)&~humble(paul)))<=>(?[X]:((~brave(X)|creative(X)))))&
((?[X]:((happy(X)<~>funny(X))))=>(~funny(lucy)))&
((?[X]:((curious(X)&~tall(X)... | ~creative(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4554643875927218523887617
% SZS output start Proof for 4554643875927218523887617
8. ! [X0] : (creative(X0) => (~creative(X0) & humble(X0))) [input p7]
25. creative(paul) [input hypothesis]
36. ! [X0] : ((~creative(X0) & humble(X0)) | ~creative(X0)) [ennf transformation 8]
105. ~creative(X... | 0 |
If susan is calm then mary is either happy or humble and vice versa. If someone is not creative or tall then someone is either creative or brave and vice versa. Everyone who is not brave or kind is not wise or calm and vice versa. Everyone who is not tall is both not humble and not old and vice versa. Everyone who is n... | Lucy is kind. | entailment | ((calm(susan))<=>((happy(mary)<~>humble(mary))))&
((?[X]:((~creative(X)|tall(X))))<=>(?[X]:((creative(X)<~>brave(X)))))&
(![X]:((~brave(X)|kind(X))<=>(~wise(X)|calm(X))))&
(![X]:(~tall(X)<=>(~humble(X)&~old(X))))&
(![X]:(~kind(X)=>funny(X)))&
(![X]:((~strong(X)<~>wise(X))<=>~happy(X)))&
(![X]:((old(X)&~strong(X))=>(qui... | kind(lucy) | [
"p2",
"p3",
"p9",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2349091592436306850860106
% SZS output start Proof for 2349091592436306850860106
3. ! [X0] : ((kind(X0) | ~brave(X0)) <=> (calm(X0) | ~wise(X0))) [input p2]
4. ! [X0] : (~tall(X0) <=> (~old(X0) & ~humble(X0))) [input p3]
10. ! [X0] : (kind(X0) <=> tall(X0)) [input p9]
11. ! [X0] : ((~calm... | 0 |
Everyone who is brave or old is generous and vice versa. Everyone who is not tall or wise is wise. Everyone who is both not funny and brave is creative. Everyone who is old or quiet is either not quiet or not funny and vice versa. Everyone who is either happy or not quiet is strong. Everyone who is either calm or not s... | Paul is calm. | neutral | (![X]:((brave(X)|old(X))<=>generous(X)))&
(![X]:((~tall(X)|wise(X))=>wise(X)))&
(![X]:((~funny(X)&brave(X))=>creative(X)))&
(![X]:((old(X)|quiet(X))<=>(~quiet(X)<~>~funny(X))))&
(![X]:((happy(X)<~>~quiet(X))=>strong(X)))&
(![X]:((calm(X)<~>~strong(X))<=>(wise(X)<~>~brave(X))))&
(![X]:((~rich(X)|~strong(X))<=>(~humble(X... | calm(paul) | [] | null | 0 |
Everyone who is both not generous and generous is not kind or not patient and vice versa.
Everyone who is quiet or generous is not humble and vice versa.
If susan is not tall or not wise then someone is not calm or creative.
Everyone who is either creative or not kind is not happy.
Everyone who is not tall or not brave... | Susan is not quiet. | neutral | (![X]:((~generous(X)&generous(X))<=>(~kind(X)|~patient(X))))&
(![X]:((quiet(X)|generous(X))<=>~humble(X)))&
(((~tall(susan)|~wise(susan)))=>(?[X]:((~calm(X)|creative(X)))))&
(![X]:((creative(X)<~>~kind(X))=>~happy(X)))&
(![X]:((~tall(X)|~brave(X))=>(~kind(X)|old(X))))&
(![X]:(~quiet(X)<=>(~humble(X)<~>~curious(X))))&
(... | ~quiet(susan) | [] | null | 0 |
If fred is both kind and quiet then john is generous. If john is either not tall or tall then susan is both not old and creative and vice versa. If paul is not wise then someone is either not curious or not humble and vice versa. Everyone who is either strong or not brave is tall or not brave. Everyone who is either fu... | Susan is patient. | contradiction | (((kind(fred)&quiet(fred)))=>(generous(john)))&
(((~tall(john)<~>tall(john)))<=>((~old(susan)&creative(susan))))&
((~wise(paul))<=>(?[X]:((~curious(X)<~>~humble(X)))))&
(![X]:((strong(X)<~>~brave(X))=>(tall(X)|~brave(X))))&
(![X]:((funny(X)<~>wise(X))<=>funny(X)))&
(((~old(fred)&~strong(fred)))=>((~patient(alice)<~>~ca... | patient(susan) | [
"p6",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 88137609270675905704478
% SZS output start Proof for 88137609270675905704478
7. ? [X0] : (curious(X0) | ~happy(X0)) => (~calm(fred) & ~kind(fred)) [input p6]
15. ! [X0] : ((happy(X0) | ~strong(X0)) <=> ~patient(X0)) [input p14]
24. calm(fred) [input p23]
25. patient(susan) [input hypothes... | 0 |
If mary is both not strong and old then someone is not rich or patient.
If someone is either kind or generous then susan is either not generous or creative and vice versa.
Everyone who is both not calm and patient is either not kind or generous and vice versa.
If paul is not kind or not quiet then susan is not calm and... | Paul is not quiet. | neutral | (((~strong(mary)&old(mary)))=>(?[X]:((~rich(X)|patient(X)))))&
((?[X]:((kind(X)<~>generous(X))))<=>((~generous(susan)<~>creative(susan))))&
(![X]:((~calm(X)&patient(X))<=>(~kind(X)<~>generous(X))))&
(((~kind(paul)|~quiet(paul)))<=>(~calm(susan)))&
(![X]:(~happy(X)=>(old(X)&~patient(X))))&
(![X]:(rich(X)=>~creative(X)))... | ~quiet(paul) | [] | null | 0 |
Everyone who is wise is both not calm and old.
If lucy is not rich or not tall then someone is both curious and not patient and vice versa.
Everyone who is not patient or not tall is wise and vice versa.
If someone is brave or not humble then alice is either not old or not happy.
If mary is strong then someone is brave... | Fred is funny. | entailment | (![X]:(wise(X)=>(~calm(X)&old(X))))&
(((~rich(lucy)|~tall(lucy)))<=>(?[X]:((curious(X)&~patient(X)))))&
(![X]:((~patient(X)|~tall(X))<=>wise(X)))&
((?[X]:((brave(X)|~humble(X))))=>((~old(alice)<~>~happy(alice))))&
((strong(mary))<=>(?[X]:((brave(X)|~old(X)))))&
(((~generous(paul)|humble(paul)))=>((~generous(alice)|~hap... | funny(fred) | [
"p0",
"p2",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 817202064603877204215270
% SZS output start Proof for 817202064603877204215270
1. ! [X0] : (wise(X0) => (old(X0) & ~calm(X0))) [input p0]
3. ! [X0] : ((~tall(X0) | ~patient(X0)) <=> wise(X0)) [input p2]
13. ! [X0] : ((curious(X0) | happy(X0)) <=> ~old(X0)) [input p12]
16. ! [X0] : ((old(X... | 0 |
Everyone who is wise or not creative is either happy or not happy.
If someone is either not kind or not curious then paul is both not patient and not tall and vice versa.
If john is not quiet then alice is either old or not kind.
If susan is both wise and not patient then alice is old.
If someone is both strong and not... | Fred is not calm. | entailment | (![X]:((wise(X)|~creative(X))=>(happy(X)<~>~happy(X))))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((~patient(paul)&~tall(paul))))&
((~quiet(john))=>((old(alice)<~>~kind(alice))))&
(((wise(susan)&~patient(susan)))=>(old(alice)))&
((?[X]:((strong(X)&~strong(X))))<=>(?[X]:((kind(X)|quiet(X)))))&
(![X]:((~tall(X)&~strong(X))<=... | ~calm(fred) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3745467802075938960360714
% SZS output start Proof for 3745467802075938960360714
5. ? [X0] : (~strong(X0) & strong(X0)) <=> ? [X0] : (quiet(X0) | kind(X0)) [input p4]
8. ! [X0] : ((calm(X0) | ~happy(X0)) => kind(X0)) [input p7]
22. calm(fred) [input hypothesis]
23. ? [X0] : (~strong(X0) &... | 0 |
If someone is not brave or not rich then susan is generous and vice versa.
Everyone who is generous is not funny or not strong.
Everyone who is both humble and not quiet is both curious and happy.
If someone is rich or not generous then fred is both not old and creative.
Everyone who is funny or not kind is calm.
Every... | Fred is creative. | entailment | ((?[X]:((~brave(X)|~rich(X))))<=>(generous(susan)))&
(![X]:(generous(X)=>(~funny(X)|~strong(X))))&
(![X]:((humble(X)&~quiet(X))=>(curious(X)&happy(X))))&
((?[X]:((rich(X)|~generous(X))))=>((~old(fred)&creative(fred))))&
(![X]:((funny(X)|~kind(X))=>calm(X)))&
(![X]:(~happy(X)<=>(calm(X)&~creative(X))))&
(![X]:(humble(X)... | creative(fred) | [
"p3",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5104882056952411168119002
% SZS output start Proof for 5104882056952411168119002
4. ? [X0] : (~generous(X0) | rich(X0)) => (creative(fred) & ~old(fred)) [input p3]
24. rich(john) [input p23]
25. ~creative(fred) [input hypothesis]
32. (creative(fred) & ~old(fred)) | ! [X0] : (generous(X0) ... | 0 |
Everyone who is both not patient and not humble is not strong and vice versa.
Everyone who is either calm or not tall is tall.
Everyone who is not creative or not old is either not strong or not generous.
If someone is both not brave and wise then someone is not kind or rich.
Everyone who is not funny is either not pat... | Susan is generous. | entailment | (![X]:((~patient(X)&~humble(X))<=>~strong(X)))&
(![X]:((calm(X)<~>~tall(X))=>tall(X)))&
(![X]:((~creative(X)|~old(X))=>(~strong(X)<~>~generous(X))))&
((?[X]:((~brave(X)&wise(X))))=>(?[X]:((~kind(X)|rich(X)))))&
(![X]:(~funny(X)<=>(~patient(X)<~>~happy(X))))&
((?[X]:((~curious(X)|generous(X))))<=>(?[X]:((~rich(X)|happy(... | generous(susan) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6552954097905073057658855
% SZS output start Proof for 6552954097905073057658855
11. ! [X0] : ((generous(X0) <~> happy(X0)) => (~happy(X0) & funny(X0))) [input p10]
22. happy(susan) [input p21]
25. ~generous(susan) [input hypothesis]
33. ! [X0] : ((~happy(X0) & funny(X0)) | (generous(X0) ... | 0 |
Everyone who is wise or quiet is both not tall and humble and vice versa.
Everyone who is both quiet and not brave is either not funny or brave and vice versa.
Everyone who is either funny or rich is happy.
If someone is not funny then someone is either not calm or not patient.
If mary is both happy and funny then some... | Fred is not tall. | entailment | (![X]:((wise(X)|quiet(X))<=>(~tall(X)&humble(X))))&
(![X]:((quiet(X)&~brave(X))<=>(~funny(X)<~>brave(X))))&
(![X]:((funny(X)<~>rich(X))=>happy(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>~patient(X)))))&
(((happy(mary)&funny(mary)))<=>(?[X]:((~kind(X)&creative(X)))))&
(![X]:((calm(X)<~>old(X))<=>(~patient(X)&patient(... | ~tall(fred) | [
"p0",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3383058498828312462642580
% SZS output start Proof for 3383058498828312462642580
1. ! [X0] : ((quiet(X0) | wise(X0)) <=> (humble(X0) & ~tall(X0))) [input p0]
7. ! [X0] : (~wise(X0) => patient(X0)) [input p6]
13. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~patient(X0)) [input p12]
15. ? [X0... | 0 |
Everyone who is not funny or not curious is either funny or not brave. Everyone who is not rich is curious or patient and vice versa. Everyone who is rich is either happy or creative. Everyone who is both not strong and not happy is strong. Everyone who is both rich and not creative is both not tall and curious and vic... | Mary is not funny. | contradiction | (![X]:((~funny(X)|~curious(X))=>(funny(X)<~>~brave(X))))&
(![X]:(~rich(X)<=>(curious(X)|patient(X))))&
(![X]:(rich(X)=>(happy(X)<~>creative(X))))&
(![X]:((~strong(X)&~happy(X))=>strong(X)))&
(![X]:((rich(X)&~creative(X))<=>(~tall(X)&curious(X))))&
(((tall(alice)|~kind(alice)))=>(wise(paul)))&
(![X]:(kind(X)<=>(~happy(X... | ~funny(mary) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2138597608856500996941325
% SZS output start Proof for 2138597608856500996941325
1. ! [X0] : ((~curious(X0) | ~funny(X0)) => (funny(X0) <~> ~brave(X0))) [input p0]
13. ! [X0] : (~funny(X0) <=> (creative(X0) & brave(X0))) [input p12]
22. ~funny(mary) [input hypothesis]
24. ! [X0] : ((funny... | 0 |
Everyone who is calm or patient is both kind and wise and vice versa.
Everyone who is both not kind and kind is either patient or not calm and vice versa.
Everyone who is not happy is not rich or not quiet.
Everyone who is creative or not wise is not strong or humble and vice versa.
Everyone who is not rich or not curi... | Mary is humble. | contradiction | (![X]:((calm(X)|patient(X))<=>(kind(X)&wise(X))))&
(![X]:((~kind(X)&kind(X))<=>(patient(X)<~>~calm(X))))&
(![X]:(~happy(X)=>(~rich(X)|~quiet(X))))&
(![X]:((creative(X)|~wise(X))<=>(~strong(X)|humble(X))))&
(![X]:((~rich(X)|~curious(X))=>(kind(X)|~happy(X))))&
(![X]:((~happy(X)&~rich(X))=>(strong(X)<~>~curious(X))))&
(!... | humble(mary) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1841191974378080122589389
% SZS output start Proof for 1841191974378080122589389
7. ! [X0] : (humble(X0) <=> (~rich(X0) <~> ~humble(X0))) [input p6]
12. ? [X0] : humble(X0) <=> (kind(mary) & rich(mary)) [input p11]
24. humble(mary) [input hypothesis]
42. ! [X0] : ((humble(X0) | ((~rich(X0... | 0 |
If someone is both not quiet and not kind then paul is not wise or strong and vice versa.
If john is rich or not calm then someone is either strong or kind and vice versa.
If fred is not creative then paul is either not tall or not calm and vice versa.
If someone is creative or not humble then fred is both kind and ric... | Lucy is not happy. | entailment | ((?[X]:((~quiet(X)&~kind(X))))<=>((~wise(paul)|strong(paul))))&
(((rich(john)|~calm(john)))<=>(?[X]:((strong(X)<~>kind(X)))))&
((~creative(fred))<=>((~tall(paul)<~>~calm(paul))))&
((?[X]:((creative(X)|~humble(X))))<=>((kind(fred)&rich(fred))))&
((?[X]:((old(X)|generous(X))))=>(?[X]:((~happy(X)|generous(X)))))&
(![X]:((... | ~happy(lucy) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5651566872959171533213729
% SZS output start Proof for 5651566872959171533213729
12. ! [X0] : ((happy(X0) & ~humble(X0)) => (humble(X0) & patient(X0))) [input p11]
17. ~humble(lucy) [input p16]
24. happy(lucy) [input hypothesis]
35. ! [X0] : ((humble(X0) & patient(X0)) | (~happy(X0) | hum... | 0 |
If someone is either not funny or calm then someone is both not creative and not calm and vice versa.
Everyone who is either not kind or curious is not old.
Everyone who is either not old or curious is both kind and not tall and vice versa.
If someone is not creative or kind then someone is not calm or wise and vice ve... | Lucy is not old. | entailment | ((?[X]:((~funny(X)<~>calm(X))))<=>(?[X]:((~creative(X)&~calm(X)))))&
(![X]:((~kind(X)<~>curious(X))=>~old(X)))&
(![X]:((~old(X)<~>curious(X))<=>(kind(X)&~tall(X))))&
((?[X]:((~creative(X)|kind(X))))<=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((generous(X)|patient(X))=>~generous(X)))&
((?[X]:((creative(X)&humble(X))))=>(?[X]... | ~old(lucy) | [
"p1",
"p2",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4939361824237411658566101
% SZS output start Proof for 4939361824237411658566101
2. ! [X0] : ((~kind(X0) <~> curious(X0)) => ~old(X0)) [input p1]
3. ! [X0] : ((~old(X0) <~> curious(X0)) <=> (~tall(X0) & kind(X0))) [input p2]
7. ! [X0] : ((patient(X0) <~> ~rich(X0)) => ~funny(X0)) [input p... | 0 |
Everyone who is both humble and not happy is either not curious or not calm and vice versa.
If someone is not curious or strong then someone is either not wise or not patient.
If someone is both old and funny then someone is both rich and kind and vice versa.
If someone is creative then someone is not tall or not brave... | Lucy is not strong. | contradiction | (![X]:((humble(X)&~happy(X))<=>(~curious(X)<~>~calm(X))))&
((?[X]:((~curious(X)|strong(X))))=>(?[X]:((~wise(X)<~>~patient(X)))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((rich(X)&kind(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~old(X)<~>patient(X))<=>kind(X)))&
((?[X]:((~patient(X)<~>~quiet(X)... | ~strong(lucy) | [
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7349931574519025941129808
% SZS output start Proof for 7349931574519025941129808
16. ! [X0] : (creative(X0) <=> (old(X0) & strong(X0))) [input p15]
18. creative(lucy) [input p17]
25. ~strong(lucy) [input hypothesis]
82. ! [X0] : ((creative(X0) | (~old(X0) | ~strong(X0))) & ((old(X0) & str... | 0 |
If fred is either not creative or patient then lucy is either strong or not brave and vice versa. Everyone who is old is not humble and vice versa. If someone is either not wise or not funny then susan is both not creative and creative. Everyone who is not patient is curious or not curious. Everyone who is rich is old ... | Alice is wise. | contradiction | (((~creative(fred)<~>patient(fred)))<=>((strong(lucy)<~>~brave(lucy))))&
(![X]:(old(X)<=>~humble(X)))&
((?[X]:((~wise(X)<~>~funny(X))))=>((~creative(susan)&creative(susan))))&
(![X]:(~patient(X)=>(curious(X)|~curious(X))))&
(![X]:(rich(X)<=>old(X)))&
(((~curious(alice)|old(alice)))=>(?[X]:((calm(X)&~strong(X)))))&
(((~... | wise(alice) | [
"p2",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 299921952755057587592144
% SZS output start Proof for 299921952755057587592144
3. ? [X0] : (~wise(X0) <~> ~funny(X0)) => (creative(susan) & ~creative(susan)) [input p2]
9. ! [X0] : (~old(X0) => (~funny(X0) & calm(X0))) [input p8]
10. ! [X0] : ((~patient(X0) & old(X0)) => (happy(X0) <~> ~c... | 0 |
Everyone who is either not quiet or not generous is either not old or happy.
Everyone who is both not tall and quiet is funny and vice versa.
If someone is either not happy or not funny then someone is not wise.
If someone is curious then someone is funny and vice versa.
If someone is either not happy or not kind then ... | Lucy is not rich. | contradiction | (![X]:((~quiet(X)<~>~generous(X))=>(~old(X)<~>happy(X))))&
(![X]:((~tall(X)&quiet(X))<=>funny(X)))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:(~wise(X))))&
((?[X]:(curious(X)))<=>(?[X]:(funny(X))))&
((?[X]:((~happy(X)<~>~kind(X))))=>(?[X]:((rich(X)&kind(X)))))&
((?[X]:((curious(X)|~happy(X))))=>((~humble(mary)&wise(mary... | ~rich(lucy) | [
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5016763748959795725919705
% SZS output start Proof for 5016763748959795725919705
7. (~strong(lucy) | ~quiet(lucy)) <=> old(lucy) [input p6]
13. ! [X0] : (~happy(X0) <=> (quiet(X0) | brave(X0))) [input p12]
14. ! [X0] : ((~funny(X0) | ~rich(X0)) => (~calm(X0) & ~old(X0))) [input p13]
16. ~... | 0 |
Everyone who is not wise is not funny or strong.
Everyone who is quiet is not funny and vice versa.
Everyone who is not creative is either strong or patient and vice versa.
Everyone who is both not wise and not brave is brave and vice versa.
Everyone who is both kind and not old is both not kind and humble.
If lucy is ... | Alice is not creative. | entailment | (![X]:(~wise(X)=>(~funny(X)|strong(X))))&
(![X]:(quiet(X)<=>~funny(X)))&
(![X]:(~creative(X)<=>(strong(X)<~>patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>brave(X)))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&humble(X))))&
(((~patient(lucy)&creative(lucy)))<=>(?[X]:((tall(X)|brave(X)))))&
(![X]:((~brave(X)|~kind(X))<=>(curious... | ~creative(alice) | [
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 556859680227545227348897
% SZS output start Proof for 556859680227545227348897
4. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> brave(X0)) [input p3]
8. ! [X0] : ((creative(X0) | ~calm(X0)) <=> (brave(X0) | ~wise(X0))) [input p7]
21. creative(alice) [input hypothesis]
33. ! [X0] : (((~brave(X0) ... | 0 |
If fred is curious or tall then fred is not creative or not tall.
Everyone who is both not strong and old is not tall.
Everyone who is both happy and not old is kind or not calm and vice versa.
If someone is both not quiet and not old then alice is both not calm and not humble and vice versa.
If someone is either not w... | Paul is not happy. | contradiction | (((curious(fred)|tall(fred)))=>((~creative(fred)|~tall(fred))))&
(![X]:((~strong(X)&old(X))=>~tall(X)))&
(![X]:((happy(X)&~old(X))<=>(kind(X)|~calm(X))))&
((?[X]:((~quiet(X)&~old(X))))<=>((~calm(alice)&~humble(alice))))&
((?[X]:((~wise(X)<~>kind(X))))<=>((~calm(john)&calm(john))))&
(![X]:(funny(X)=>(brave(X)|~quiet(X))... | ~happy(paul) | [
"p2",
"p4",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7997908328226574055246500
% SZS output start Proof for 7997908328226574055246500
3. ! [X0] : ((~old(X0) & happy(X0)) <=> (~calm(X0) | kind(X0))) [input p2]
5. ? [X0] : (~wise(X0) <~> kind(X0)) <=> (calm(john) & ~calm(john)) [input p4]
8. ! [X0] : ((~old(X0) | ~happy(X0)) <=> (~humble(X0) ... | 0 |
If someone is funny then john is not wise.
If someone is not happy or patient then john is both not tall and curious and vice versa.
If john is not funny or humble then john is not wise or wise and vice versa.
Everyone who is both not happy and not curious is either not funny or not patient and vice versa.
Everyone who... | Mary is wise. | contradiction | ((?[X]:(funny(X)))=>(~wise(john)))&
((?[X]:((~happy(X)|patient(X))))<=>((~tall(john)&curious(john))))&
(((~funny(john)|humble(john)))<=>((~wise(john)|wise(john))))&
(![X]:((~happy(X)&~curious(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:((~tall(X)|~generous(X))<=>(tall(X)&~old(X))))&
(![X]:((tall(X)|generous(X))=>(~generou... | wise(mary) | [
"p1",
"p4",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3255982137605667924176052
% SZS output start Proof for 3255982137605667924176052
2. ? [X0] : (patient(X0) | ~happy(X0)) <=> (curious(john) & ~tall(john)) [input p1]
5. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~old(X0) & tall(X0))) [input p4]
6. ! [X0] : ((generous(X0) | tall(X0)) => (ri... | 0 |
Everyone who is not old or calm is both old and not old and vice versa.
If susan is not quiet or strong then someone is either brave or not humble and vice versa.
Everyone who is both rich and not funny is either strong or brave.
Everyone who is either not kind or not creative is both not calm and not patient and vice ... | Paul is brave. | neutral | (![X]:((~old(X)|calm(X))<=>(old(X)&~old(X))))&
(((~quiet(susan)|strong(susan)))<=>(?[X]:((brave(X)<~>~humble(X)))))&
(![X]:((rich(X)&~funny(X))=>(strong(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~creative(X))<=>(~calm(X)&~patient(X))))&
(((~funny(paul)<~>quiet(paul)))=>(?[X]:(wise(X))))&
((happy(mary))=>(~kind(john)))&
((?[... | brave(paul) | [] | null | 0 |
If someone is either patient or old then someone is both kind and not old and vice versa.
Everyone who is brave or funny is both brave and quiet and vice versa.
Everyone who is not patient is both funny and not quiet.
Everyone who is either curious or kind is either not tall or brave.
If susan is either creative or fun... | Fred is not patient. | contradiction | ((?[X]:((patient(X)<~>old(X))))<=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((brave(X)|funny(X))<=>(brave(X)&quiet(X))))&
(![X]:(~patient(X)=>(funny(X)&~quiet(X))))&
(![X]:((curious(X)<~>kind(X))=>(~tall(X)<~>brave(X))))&
(((creative(susan)<~>funny(susan)))<=>(?[X]:(~old(X))))&
(((quiet(fred)|patient(fred)))<=>((~patient(fred... | ~patient(fred) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7898718007953671816829885
% SZS output start Proof for 7898718007953671816829885
2. ! [X0] : ((funny(X0) | brave(X0)) <=> (quiet(X0) & brave(X0))) [input p1]
3. ! [X0] : (~patient(X0) => (~quiet(X0) & funny(X0))) [input p2]
25. ~patient(fred) [input hypothesis]
29. ! [X0] : ((~quiet(X0) &... | 0 |
Everyone who is not humble is generous and vice versa. Everyone who is both patient and curious is either not brave or not kind and vice versa. If fred is brave or generous then someone is either funny or not curious. Everyone who is both brave and kind is strong or happy and vice versa. Everyone who is not patient is ... | Mary is kind. | entailment | (![X]:(~humble(X)<=>generous(X)))&
(![X]:((patient(X)&curious(X))<=>(~brave(X)<~>~kind(X))))&
(((brave(fred)|generous(fred)))=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:((brave(X)&kind(X))<=>(strong(X)|happy(X))))&
(![X]:(~patient(X)=>(wise(X)|strong(X))))&
(((~generous(mary)|~brave(mary)))=>(~quiet(mary)))&
(((wise(jo... | kind(mary) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7414272614507830245393004
% SZS output start Proof for 7414272614507830245393004
4. ! [X0] : ((kind(X0) & brave(X0)) <=> (happy(X0) | strong(X0))) [input p3]
12. ! [X0] : ((~strong(X0) | ~patient(X0)) => kind(X0)) [input p11]
23. ~kind(mary) [input hypothesis]
31. ! [X0] : (kind(X0) | (st... | 0 |
If someone is old then mary is both not tall and strong.
Everyone who is either wise or humble is both patient and creative and vice versa.
If someone is either humble or brave then mary is not patient or generous.
Everyone who is not generous or not creative is not rich.
If someone is either not rich or curious then s... | Mary is patient. | contradiction | ((?[X]:(old(X)))=>((~tall(mary)&strong(mary))))&
(![X]:((wise(X)<~>humble(X))<=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>brave(X))))=>((~patient(mary)|generous(mary))))&
(![X]:((~generous(X)|~creative(X))=>~rich(X)))&
((?[X]:((~rich(X)<~>curious(X))))<=>(?[X]:((curious(X)<~>~patient(X)))))&
((?[X]:((~strong(X)&... | patient(mary) | [
"p0",
"p7",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7797808903049209317283469
% SZS output start Proof for 7797808903049209317283469
1. ? [X0] : old(X0) => (strong(mary) & ~tall(mary)) [input p0]
8. ? [X0] : creative(X0) => ? [X0] : (~brave(X0) & brave(X0)) [input p7]
12. ? [X0] : (~patient(X0) | old(X0)) => ? [X0] : (~old(X0) <~> ~creativ... | 0 |
If paul is both strong and patient then john is both funny and patient.
Everyone who is not creative or not generous is calm and vice versa.
Everyone who is not funny is either not calm or generous.
Everyone who is not quiet or wise is either not quiet or patient.
If susan is old then someone is both not tall and stron... | Susan is not old. | contradiction | (((strong(paul)&patient(paul)))=>((funny(john)&patient(john))))&
(![X]:((~creative(X)|~generous(X))<=>calm(X)))&
(![X]:(~funny(X)=>(~calm(X)<~>generous(X))))&
(![X]:((~quiet(X)|wise(X))=>(~quiet(X)<~>patient(X))))&
((old(susan))<=>(?[X]:((~tall(X)&strong(X)))))&
((?[X]:((quiet(X)|~old(X))))=>(?[X]:((~wise(X)&wise(X))))... | ~old(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8766668191752020855973907
% SZS output start Proof for 8766668191752020855973907
6. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (wise(X0) & ~wise(X0)) [input p5]
22. ~old(susan) [input hypothesis]
23. ? [X0] : (~old(X0) | quiet(X0)) => ? [X1] : (wise(X1) & ~wise(X1)) [rectify 6]
31. ? [X1... | 0 |
Everyone who is both not generous and not happy is either not happy or not curious.
Everyone who is not calm is both not generous and patient and vice versa.
Everyone who is not brave or strong is kind.
If alice is both brave and quiet then john is either happy or not curious and vice versa.
Everyone who is either not ... | Lucy is not generous. | contradiction | (![X]:((~generous(X)&~happy(X))=>(~happy(X)<~>~curious(X))))&
(![X]:(~calm(X)<=>(~generous(X)&patient(X))))&
(![X]:((~brave(X)|strong(X))=>kind(X)))&
(((brave(alice)&quiet(alice)))<=>((happy(john)<~>~curious(john))))&
(![X]:((~strong(X)<~>tall(X))=>(generous(X)|~old(X))))&
((?[X]:((~old(X)<~>curious(X))))<=>(?[X]:((~st... | ~generous(lucy) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8680491738179559278774077
% SZS output start Proof for 8680491738179559278774077
1. ! [X0] : ((~happy(X0) & ~generous(X0)) => (~happy(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : ((strong(X0) | ~brave(X0)) => kind(X0)) [input p2]
5. ! [X0] : ((~strong(X0) <~> tall(X0)) => (~old(X0) | gen... | 0 |
If paul is kind or not creative then fred is either not kind or not generous and vice versa.
Everyone who is not old is patient.
Everyone who is both generous and patient is strong or not quiet and vice versa.
If someone is both humble and patient then someone is both not patient and not brave and vice versa.
If john i... | Fred is not creative. | neutral | (((kind(paul)|~creative(paul)))<=>((~kind(fred)<~>~generous(fred))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:((generous(X)&patient(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((humble(X)&patient(X))))<=>(?[X]:((~patient(X)&~brave(X)))))&
(((tall(john)&rich(john)))=>(?[X]:(creative(X))))&
((~humble(susan))=>(?[X]:((~humble(X)&~w... | ~creative(fred) | [] | null | 0 |
Everyone who is calm or quiet is both not patient and creative and vice versa.
Everyone who is not calm is not creative or not happy.
Everyone who is not happy or not curious is both calm and not rich.
Everyone who is both not curious and not old is either not calm or not funny and vice versa.
Everyone who is either ta... | Susan is not old. | neutral | (![X]:((calm(X)|quiet(X))<=>(~patient(X)&creative(X))))&
(![X]:(~calm(X)=>(~creative(X)|~happy(X))))&
(![X]:((~happy(X)|~curious(X))=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&~old(X))<=>(~calm(X)<~>~funny(X))))&
(![X]:((tall(X)<~>~tall(X))<=>(~brave(X)<~>~quiet(X))))&
((?[X]:((old(X)|quiet(X))))<=>((rich(fred)|curious... | ~old(susan) | [] | null | 0 |
If someone is both strong and creative then someone is both curious and patient and vice versa.
If someone is not strong then susan is both not generous and quiet and vice versa.
Everyone who is quiet is either not funny or not rich.
If someone is not strong or not curious then someone is either kind or not quiet and v... | Mary is not creative. | neutral | ((?[X]:((strong(X)&creative(X))))<=>(?[X]:((curious(X)&patient(X)))))&
((?[X]:(~strong(X)))<=>((~generous(susan)&quiet(susan))))&
(![X]:(quiet(X)=>(~funny(X)<~>~rich(X))))&
((?[X]:((~strong(X)|~curious(X))))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:((calm(X)|quiet(X))<=>(~patient(X)&patient(X))))&
(((curious(lucy)<~>~s... | ~creative(mary) | [] | null | 0 |
Everyone who is happy or strong is either not calm or not brave and vice versa.
Everyone who is not tall or creative is both not happy and not calm.
Everyone who is either not creative or quiet is old or not generous.
If someone is creative or patient then someone is both not humble and wise.
Everyone who is not kind i... | Mary is not strong. | entailment | (![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~brave(X))))&
(![X]:((~tall(X)|creative(X))=>(~happy(X)&~calm(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(old(X)|~generous(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:(~kind(X)<=>(tall(X)<~>rich(X))))&
(((~funny(fred)&~generous(fred)))<=>(?[X]... | ~strong(mary) | [
"p1",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5343897431589009516445556
% SZS output start Proof for 5343897431589009516445556
2. ! [X0] : ((creative(X0) | ~tall(X0)) => (~calm(X0) & ~happy(X0))) [input p1]
12. ! [X0] : ((~curious(X0) | strong(X0)) => (creative(X0) & ~humble(X0))) [input p11]
16. ! [X0] : ((~happy(X0) | patient(X0)) ... | 0 |
If someone is curious or strong then someone is not generous and vice versa. If fred is tall then someone is both funny and quiet. Everyone who is not funny or not patient is both not wise and humble. Everyone who is either not calm or generous is both not humble and wise. If susan is kind then someone is not tall or n... | Susan is generous. | neutral | ((?[X]:((curious(X)|strong(X))))<=>(?[X]:(~generous(X))))&
((tall(fred))=>(?[X]:((funny(X)&quiet(X)))))&
(![X]:((~funny(X)|~patient(X))=>(~wise(X)&humble(X))))&
(![X]:((~calm(X)<~>generous(X))=>(~humble(X)&wise(X))))&
((kind(susan))<=>(?[X]:((~tall(X)|~humble(X)))))&
(((tall(mary)&curious(mary)))<=>(?[X]:((curious(X)&~... | generous(susan) | [] | null | 0 |
Everyone who is either wise or curious is both quiet and not quiet. Everyone who is either happy or not curious is either kind or old and vice versa. If someone is not creative or strong then someone is both patient and tall and vice versa. If paul is both funny and not rich then someone is not curious and vice versa. ... | Paul is not patient. | entailment | (![X]:((wise(X)<~>curious(X))=>(quiet(X)&~quiet(X))))&
(![X]:((happy(X)<~>~curious(X))<=>(kind(X)<~>old(X))))&
((?[X]:((~creative(X)|strong(X))))<=>(?[X]:((patient(X)&tall(X)))))&
(((funny(paul)&~rich(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((brave(X)|~curious(X))<=>(patient(X)&curious(X))))&
(((~strong(susan)|~rich(sus... | ~patient(paul) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3417866294119012075776994
% SZS output start Proof for 3417866294119012075776994
5. ! [X0] : ((~curious(X0) | brave(X0)) <=> (curious(X0) & patient(X0))) [input p4]
7. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~strong(X0) | ~patient(X0))) [input p6]
22. patient(paul) [input hypothesis]
42.... | 0 |
Everyone who is either strong or not patient is both humble and not wise.
Everyone who is creative or not funny is either old or not strong.
If someone is not rich or not curious then fred is either happy or creative.
Everyone who is not calm is either not old or tall and vice versa.
Everyone who is not rich or not hum... | Fred is not rich. | contradiction | (![X]:((strong(X)<~>~patient(X))=>(humble(X)&~wise(X))))&
(![X]:((creative(X)|~funny(X))=>(old(X)<~>~strong(X))))&
((?[X]:((~rich(X)|~curious(X))))=>((happy(fred)<~>creative(fred))))&
(![X]:(~calm(X)<=>(~old(X)<~>tall(X))))&
(![X]:((~rich(X)|~humble(X))<=>(~rich(X)<~>~curious(X))))&
(((~tall(susan)&~wise(susan)))<=>((~... | ~rich(fred) | [
"p2",
"p6",
"p7",
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3121867138916644773782303
% SZS output start Proof for 3121867138916644773782303
3. ? [X0] : (~curious(X0) | ~rich(X0)) => (happy(fred) <~> creative(fred)) [input p2]
7. ! [X0] : ((~happy(X0) & ~calm(X0)) <=> (~patient(X0) | ~rich(X0))) [input p6]
8. ! [X0] : ((~wise(X0) <~> ~creative(X0)... | 0 |
If someone is quiet or not kind then john is brave and vice versa.
If mary is rich then someone is creative.
Everyone who is either not kind or kind is not tall and vice versa.
If alice is either not curious or not old then alice is happy or not generous and vice versa.
If john is both happy and not calm then someone i... | Fred is not happy. | contradiction | ((?[X]:((quiet(X)|~kind(X))))<=>(brave(john)))&
((rich(mary))=>(?[X]:(creative(X))))&
(![X]:((~kind(X)<~>kind(X))<=>~tall(X)))&
(((~curious(alice)<~>~old(alice)))<=>((happy(alice)|~generous(alice))))&
(((happy(john)&~calm(john)))<=>(?[X]:(~strong(X))))&
((?[X]:((~patient(X)|humble(X))))<=>(?[X]:(rich(X))))&
(((~calm(jo... | ~happy(fred) | [
"p2",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3358341274585760200509892
% SZS output start Proof for 3358341274585760200509892
3. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> ~tall(X0)) [input p2]
9. ! [X0] : (brave(X0) => happy(X0)) [input p8]
10. ! [X0] : ((strong(X0) | calm(X0)) <=> (creative(X0) & brave(X0))) [input p9]
11. ! [X0] : (s... | 0 |
Everyone who is not tall or happy is kind and vice versa. If john is both brave and rich then susan is either humble or not curious. Everyone who is tall or not generous is both curious and humble. If susan is both quiet and tall then lucy is not rich. Everyone who is both creative and not tall is not quiet or not gene... | Lucy is generous. | entailment | (![X]:((~tall(X)|happy(X))<=>kind(X)))&
(((brave(john)&rich(john)))=>((humble(susan)<~>~curious(susan))))&
(![X]:((tall(X)|~generous(X))=>(curious(X)&humble(X))))&
(((quiet(susan)&tall(susan)))=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
(... | generous(lucy) | [
"p0",
"p2",
"p6",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7903681135931743226470965
% SZS output start Proof for 7903681135931743226470965
1. ! [X0] : ((happy(X0) | ~tall(X0)) <=> kind(X0)) [input p0]
3. ! [X0] : ((~generous(X0) | tall(X0)) => (humble(X0) & curious(X0))) [input p2]
7. ? [X0] : (~wise(X0) | ~creative(X0)) => (patient(lucy) & ~cur... | 0 |
Everyone who is old or patient is strong and vice versa.
Everyone who is old is either not brave or not tall and vice versa.
If someone is both not happy and brave then john is either happy or patient.
Everyone who is not calm or not rich is both old and not kind and vice versa.
Everyone who is kind or not quiet is bot... | Paul is brave. | contradiction | (![X]:((old(X)|patient(X))<=>strong(X)))&
(![X]:(old(X)<=>(~brave(X)<~>~tall(X))))&
((?[X]:((~happy(X)&brave(X))))=>((happy(john)<~>patient(john))))&
(![X]:((~calm(X)|~rich(X))<=>(old(X)&~kind(X))))&
(![X]:((kind(X)|~quiet(X))<=>(~patient(X)&patient(X))))&
(![X]:(~old(X)<=>~quiet(X)))&
(![X]:((wise(X)<~>happy(X))<=>~pa... | brave(paul) | [
"p4",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2947544292479405249328537
% SZS output start Proof for 2947544292479405249328537
5. ! [X0] : ((~quiet(X0) | kind(X0)) <=> (patient(X0) & ~patient(X0))) [input p4]
6. ! [X0] : (~old(X0) <=> ~quiet(X0)) [input p5]
8. ! [X0] : ((old(X0) | kind(X0)) => calm(X0)) [input p7]
9. ! [X0] : ((brave... | 0 |
If someone is not brave then someone is not creative or not strong and vice versa.
Everyone who is rich or not calm is both not humble and not curious.
If susan is wise then someone is not tall.
If john is either not quiet or creative then someone is strong and vice versa.
Everyone who is either not generous or not wis... | Alice is not strong. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:((~creative(X)|~strong(X)))))&
(![X]:((rich(X)|~calm(X))=>(~humble(X)&~curious(X))))&
((wise(susan))=>(?[X]:(~tall(X))))&
(((~quiet(john)<~>creative(john)))<=>(?[X]:(strong(X))))&
(![X]:((~generous(X)<~>~wise(X))<=>patient(X)))&
(![X]:(~happy(X)<=>(patient(X)<~>~strong(X))))&
((?[X]:((~old(X... | ~strong(alice) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4779321865488675232931029
% SZS output start Proof for 4779321865488675232931029
9. ! [X0] : ((old(X0) & ~strong(X0)) <=> (quiet(X0) | calm(X0))) [input p8]
14. (rich(alice) & quiet(alice)) <=> ~calm(alice) [input p13]
24. strong(alice) [input hypothesis]
55. ! [X0] : (((old(X0) & ~strong... | 0 |
If mary is funny then someone is not kind and vice versa.
Everyone who is kind or not quiet is both tall and creative and vice versa.
Everyone who is either calm or not funny is both generous and not wise and vice versa.
Everyone who is quiet or happy is both wise and generous and vice versa.
Everyone who is both gener... | Mary is not creative. | neutral | ((funny(mary))<=>(?[X]:(~kind(X))))&
(![X]:((kind(X)|~quiet(X))<=>(tall(X)&creative(X))))&
(![X]:((calm(X)<~>~funny(X))<=>(generous(X)&~wise(X))))&
(![X]:((quiet(X)|happy(X))<=>(wise(X)&generous(X))))&
(![X]:((generous(X)&~quiet(X))=>(~kind(X)<~>generous(X))))&
((?[X]:((~patient(X)|~strong(X))))=>((happy(mary)<~>~wise(... | ~creative(mary) | [] | null | 0 |
Everyone who is both not rich and strong is both not funny and not creative.
If someone is not funny then fred is either not old or not rich.
Everyone who is brave or not brave is happy or not quiet.
If john is both not brave and strong then alice is calm or brave.
Everyone who is either not rich or calm is humble.
If ... | John is not strong. | entailment | (![X]:((~rich(X)&strong(X))=>(~funny(X)&~creative(X))))&
((?[X]:(~funny(X)))=>((~old(fred)<~>~rich(fred))))&
(![X]:((brave(X)|~brave(X))=>(happy(X)|~quiet(X))))&
(((~brave(john)&strong(john)))=>((calm(alice)|brave(alice))))&
(![X]:((~rich(X)<~>calm(X))=>humble(X)))&
((patient(susan))<=>((~calm(fred)<~>~wise(fred))))&
(... | ~strong(john) | [
"p3",
"p4",
"p6",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9042879775362127353605140
% SZS output start Proof for 9042879775362127353605140
4. (strong(john) & ~brave(john)) => (brave(alice) | calm(alice)) [input p3]
5. ! [X0] : ((~rich(X0) <~> calm(X0)) => humble(X0)) [input p4]
7. ! [X0] : ((calm(X0) & strong(X0)) => (~funny(X0) & brave(X0))) [i... | 0 |
Everyone who is not wise is not quiet or kind and vice versa.
If someone is both quiet and humble then mary is not rich.
Everyone who is both not creative and creative is funny or strong and vice versa.
If someone is both not quiet and not humble then alice is rich and vice versa.
Everyone who is either curious or calm... | Alice is not patient. | neutral | (![X]:(~wise(X)<=>(~quiet(X)|kind(X))))&
((?[X]:((quiet(X)&humble(X))))=>(~rich(mary)))&
(![X]:((~creative(X)&creative(X))<=>(funny(X)|strong(X))))&
((?[X]:((~quiet(X)&~humble(X))))<=>(rich(alice)))&
(![X]:((curious(X)<~>calm(X))<=>(~generous(X)&happy(X))))&
(![X]:(tall(X)=>(happy(X)|~generous(X))))&
(((~tall(fred)<~>f... | ~patient(alice) | [] | null | 0 |
Everyone who is both tall and strong is not wise or not happy and vice versa.
If susan is not curious then someone is either not kind or not wise.
Everyone who is not humble is both not humble and not creative.
If someone is either not happy or not patient then alice is both strong and not creative.
If someone is not r... | Mary is not happy. | contradiction | (![X]:((tall(X)&strong(X))<=>(~wise(X)|~happy(X))))&
((~curious(susan))=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:(~humble(X)=>(~humble(X)&~creative(X))))&
((?[X]:((~happy(X)<~>~patient(X))))=>((strong(alice)&~creative(alice))))&
((?[X]:((~rich(X)|rich(X))))=>((~kind(paul)<~>~calm(paul))))&
(![X]:((curious(X)|tall(X))<=>... | ~happy(mary) | [
"p0",
"p5",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7778826621961695816472968
% SZS output start Proof for 7778826621961695816472968
1. ! [X0] : ((strong(X0) & tall(X0)) <=> (~happy(X0) | ~wise(X0))) [input p0]
6. ! [X0] : ((tall(X0) | curious(X0)) <=> (generous(X0) & brave(X0))) [input p5]
8. ! [X0] : ((~patient(X0) <~> ~kind(X0)) => (~pa... | 0 |
If someone is humble then mary is both patient and curious.
If someone is both not humble and patient then someone is generous.
Everyone who is generous is rich or funny and vice versa.
If fred is tall then someone is rich or happy.
If someone is not creative then lucy is strong or creative and vice versa.
Everyone who... | Fred is not brave. | contradiction | ((?[X]:(humble(X)))=>((patient(mary)&curious(mary))))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:(generous(X))))&
(![X]:(generous(X)<=>(rich(X)|funny(X))))&
((tall(fred))=>(?[X]:((rich(X)|happy(X)))))&
((?[X]:(~creative(X)))<=>((strong(lucy)|creative(lucy))))&
(![X]:(generous(X)<=>(wise(X)<~>tall(X))))&
(![X]:((tall(X)&... | ~brave(fred) | [
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8838238551097449090842749
% SZS output start Proof for 8838238551097449090842749
14. ! [X0] : ((~tall(X0) | patient(X0)) <=> (brave(X0) & funny(X0))) [input p13]
24. ~kind(fred) & patient(fred) [input p23]
25. ~brave(fred) [input hypothesis]
62. ! [X0] : (((~tall(X0) | patient(X0)) | (~br... | 0 |
Everyone who is either quiet or not tall is not strong and vice versa. If someone is not humble then mary is not kind and vice versa. Everyone who is funny is not funny or wise and vice versa. Everyone who is not strong or patient is not funny or brave and vice versa. If paul is not happy then someone is either not tal... | Susan is not quiet. | entailment | (![X]:((quiet(X)<~>~tall(X))<=>~strong(X)))&
((?[X]:(~humble(X)))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tall(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~quiet(X)&cu... | ~quiet(susan) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 911177454159139855520758
% SZS output start Proof for 911177454159139855520758
3. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p2]
14. ! [X0] : ((happy(X0) <~> ~quiet(X0)) <=> (wise(X0) <~> happy(X0))) [input p13]
22. quiet(susan) [input hypothesis]
39. ! [X0] : ((funny(X0) | (... | 0 |
Everyone who is not funny or funny is happy or generous. Everyone who is not old is either tall or creative and vice versa. If someone is either strong or not generous then someone is either kind or not kind. Everyone who is not creative or not happy is generous or not kind. If someone is not kind or not old then lucy ... | Mary is quiet. | entailment | (![X]:((~funny(X)|funny(X))=>(happy(X)|generous(X))))&
(![X]:(~old(X)<=>(tall(X)<~>creative(X))))&
((?[X]:((strong(X)<~>~generous(X))))=>(?[X]:((kind(X)<~>~kind(X)))))&
(![X]:((~creative(X)|~happy(X))=>(generous(X)|~kind(X))))&
((?[X]:((~kind(X)|~old(X))))<=>(happy(lucy)))&
((wise(paul))<=>(~happy(paul)))&
(((kind(mary... | quiet(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1325790537331300568911337
% SZS output start Proof for 1325790537331300568911337
19. quiet(mary) [input p18]
25. ~quiet(mary) [input hypothesis]
137. quiet(mary) [cnf transformation 19]
144. ~quiet(mary) [cnf transformation 25]
178. 8 <=> quiet(mary) [avatar definition]
302. 8 [avatar spl... | 0 |
Everyone who is generous or humble is either not strong or not old.
If someone is funny then susan is both not happy and not strong.
Everyone who is quiet or not humble is not quiet.
If alice is not brave or not patient then someone is not curious and vice versa.
If someone is not kind then someone is quiet and vice ve... | Mary is kind. | entailment | (![X]:((generous(X)|humble(X))=>(~strong(X)<~>~old(X))))&
((?[X]:(funny(X)))=>((~happy(susan)&~strong(susan))))&
(![X]:((quiet(X)|~humble(X))=>~quiet(X)))&
(((~brave(alice)|~patient(alice)))<=>(?[X]:(~curious(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(quiet(X))))&
(((~funny(paul)&~wise(paul)))<=>((~old(mary)&kind(mary))))&
((?... | kind(mary) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7837478085281151706842726
% SZS output start Proof for 7837478085281151706842726
3. ! [X0] : ((~humble(X0) | quiet(X0)) => ~quiet(X0)) [input p2]
5. ? [X0] : ~kind(X0) <=> ? [X0] : quiet(X0) [input p4]
22. ~kind(mary) [input hypothesis]
23. ? [X0] : ~kind(X0) <=> ? [X1] : quiet(X1) [recti... | 0 |
Everyone who is both not creative and calm is both not funny and not happy. Everyone who is not happy is both not curious and not strong and vice versa. Everyone who is funny is patient and vice versa. If someone is not old or not rich then someone is either not strong or not rich. Everyone who is tall or creative is e... | Lucy is not patient. | neutral | (![X]:((~creative(X)&calm(X))=>(~funny(X)&~happy(X))))&
(![X]:(~happy(X)<=>(~curious(X)&~strong(X))))&
(![X]:(funny(X)<=>patient(X)))&
((?[X]:((~old(X)|~rich(X))))=>(?[X]:((~strong(X)<~>~rich(X)))))&
(![X]:((tall(X)|creative(X))=>(happy(X)<~>~rich(X))))&
(((calm(john)|~quiet(john)))=>(?[X]:(rich(X))))&
((?[X]:((~patien... | ~patient(lucy) | [] | null | 0 |
Everyone who is not humble is both not kind and funny and vice versa.
If alice is not humble then mary is strong or wise and vice versa.
Everyone who is both happy and not curious is both not generous and not rich and vice versa.
Everyone who is patient or humble is not funny and vice versa.
Everyone who is humble or c... | Paul is not funny. | neutral | (![X]:(~humble(X)<=>(~kind(X)&funny(X))))&
((~humble(alice))<=>((strong(mary)|wise(mary))))&
(![X]:((happy(X)&~curious(X))<=>(~generous(X)&~rich(X))))&
(![X]:((patient(X)|humble(X))<=>~funny(X)))&
(![X]:((humble(X)|curious(X))<=>(happy(X)&~patient(X))))&
(((happy(alice)&brave(alice)))<=>((~wise(susan)|old(susan))))&
((... | ~funny(paul) | [] | null | 0 |
Everyone who is either creative or not patient is patient and vice versa. Everyone who is strong is tall. If someone is calm then lucy is not patient or not calm. Everyone who is calm is curious and vice versa. If alice is not rich then lucy is not generous. If someone is both not curious and creative then someone is n... | Susan is not generous. | entailment | (![X]:((creative(X)<~>~patient(X))<=>patient(X)))&
(![X]:(strong(X)=>tall(X)))&
((?[X]:(calm(X)))=>((~patient(lucy)|~calm(lucy))))&
(![X]:(calm(X)<=>curious(X)))&
((~rich(alice))=>(~generous(lucy)))&
((?[X]:((~curious(X)&creative(X))))=>(?[X]:((~happy(X)|funny(X)))))&
(![X]:(~creative(X)<=>(funny(X)|~humble(X))))&
((?[... | ~generous(susan) | [
"p0",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7337427917379719015252814
% SZS output start Proof for 7337427917379719015252814
1. ! [X0] : ((creative(X0) <~> ~patient(X0)) <=> patient(X0)) [input p0]
7. ! [X0] : (~creative(X0) <=> (~humble(X0) | funny(X0))) [input p6]
8. ? [X0] : (brave(X0) | happy(X0)) => ? [X0] : (funny(X0) & ~gene... | 0 |
Everyone who is not old is both humble and not rich and vice versa. If alice is not tall or strong then susan is not tall or curious and vice versa. If someone is not humble then paul is both not old and not humble. Everyone who is patient is both not calm and strong and vice versa. If someone is not funny then someone... | Fred is not wise. | contradiction | (![X]:(~old(X)<=>(humble(X)&~rich(X))))&
(((~tall(alice)|strong(alice)))<=>((~tall(susan)|curious(susan))))&
((?[X]:(~humble(X)))=>((~old(paul)&~humble(paul))))&
(![X]:(patient(X)<=>(~calm(X)&strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((quiet(X)&brave(X))<=>~wise(X)))&
(![X]:((tall(X)&g... | ~wise(fred) | [
"p5",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6873158282293269930482723
% SZS output start Proof for 6873158282293269930482723
6. ! [X0] : ((brave(X0) & quiet(X0)) <=> ~wise(X0)) [input p5]
12. ? [X0] : (quiet(X0) | strong(X0)) => (~happy(susan) & ~generous(susan)) [input p11]
23. generous(susan) [input p22]
25. ~wise(fred) [input hy... | 0 |
Everyone who is both brave and not curious is both not patient and calm.
Everyone who is either patient or quiet is both generous and tall and vice versa.
If alice is both not creative and not patient then alice is not curious or funny and vice versa.
Everyone who is either kind or not rich is wise or not brave.
If pau... | Paul is not patient. | entailment | (![X]:((brave(X)&~curious(X))=>(~patient(X)&calm(X))))&
(![X]:((patient(X)<~>quiet(X))<=>(generous(X)&tall(X))))&
(((~creative(alice)&~patient(alice)))<=>((~curious(alice)|funny(alice))))&
(![X]:((kind(X)<~>~rich(X))=>(wise(X)|~brave(X))))&
(((wise(paul)&strong(paul)))<=>((generous(fred)|~curious(fred))))&
(![X]:((calm... | ~patient(paul) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1769544610080658674315054
% SZS output start Proof for 1769544610080658674315054
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (rich(X0) & humble(X0))) [input p8]
14. ! [X0] : ((humble(X0) | rich(X0)) <=> ~patient(X0)) [input p13]
23. patient(paul) [input hypothesis]
50. ! [X0] : (((patient(... | 0 |
If someone is both humble and not brave then mary is both kind and not humble and vice versa. Everyone who is not happy or rich is both not calm and not rich and vice versa. If lucy is either kind or not quiet then lucy is either generous or not calm. Everyone who is either strong or not quiet is either not calm or not... | Mary is humble. | entailment | ((?[X]:((humble(X)&~brave(X))))<=>((kind(mary)&~humble(mary))))&
(![X]:((~happy(X)|rich(X))<=>(~calm(X)&~rich(X))))&
(((kind(lucy)<~>~quiet(lucy)))=>((generous(lucy)<~>~calm(lucy))))&
(![X]:((strong(X)<~>~quiet(X))=>(~calm(X)<~>~curious(X))))&
(![X]:(~humble(X)<=>(~happy(X)|curious(X))))&
((?[X]:(~calm(X)))=>(?[X]:((ki... | humble(mary) | [
"p1",
"p4",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7588312894601125856761270
% SZS output start Proof for 7588312894601125856761270
2. ! [X0] : ((rich(X0) | ~happy(X0)) <=> (~rich(X0) & ~calm(X0))) [input p1]
5. ! [X0] : (~humble(X0) <=> (curious(X0) | ~happy(X0))) [input p4]
7. ! [X0] : ((~curious(X0) <~> ~generous(X0)) => ~patient(X0)) ... | 0 |
If someone is both funny and not humble then someone is happy or curious.
Everyone who is not happy is not rich.
If mary is either not kind or not old then alice is not brave and vice versa.
Everyone who is not funny is not old.
Everyone who is both not patient and humble is both not tall and not creative.
If john is b... | Mary is calm. | neutral | ((?[X]:((funny(X)&~humble(X))))=>(?[X]:((happy(X)|curious(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
(((~kind(mary)<~>~old(mary)))<=>(~brave(alice)))&
(![X]:(~funny(X)=>~old(X)))&
(![X]:((~patient(X)&humble(X))=>(~tall(X)&~creative(X))))&
(((~tall(john)&patient(john)))<=>((~creative(john)&quiet(john))))&
(((patient(john)&~w... | calm(mary) | [] | null | 0 |
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