premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
Everyone who is either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curio... | Paul is happy. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous... | happy(paul) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1063423313057166233935282
% SZS output start Proof for 1063423313057166233935282
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tal... | 0 |
If someone is not creative then someone is both not rich and quiet.
If mary is not strong or rich then alice is either humble or wise and vice versa.
Everyone who is tall or not tall is both calm and not patient.
If john is both rich and brave then someone is either not happy or happy and vice versa.
If someone is eith... | John is patient. | contradiction | ((?[X]:(~creative(X)))=>(?[X]:((~rich(X)&quiet(X)))))&
(((~strong(mary)|rich(mary)))<=>((humble(alice)<~>wise(alice))))&
(![X]:((tall(X)|~tall(X))=>(calm(X)&~patient(X))))&
(((rich(john)&brave(john)))<=>(?[X]:((~happy(X)<~>happy(X)))))&
((?[X]:((~generous(X)<~>humble(X))))<=>(~rich(lucy)))&
(![X]:(~wise(X)<=>(~strong(X... | patient(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8203672164755136163315299
% SZS output start Proof for 8203672164755136163315299
3. ! [X0] : ((~tall(X0) | tall(X0)) => (~patient(X0) & calm(X0))) [input p2]
25. patient(john) [input hypothesis]
29. ! [X0] : ((~patient(X0) & calm(X0)) | (tall(X0) & ~tall(X0))) [ennf transformation 3]
84. ... | 0 |
Everyone who is either not strong or not calm is brave or not kind and vice versa.
Everyone who is either creative or not old is both generous and not tall and vice versa.
Everyone who is not funny is either quiet or not brave and vice versa.
If someone is not funny or tall then someone is both not brave and not kind a... | Paul is not calm. | neutral | (![X]:((~strong(X)<~>~calm(X))<=>(brave(X)|~kind(X))))&
(![X]:((creative(X)<~>~old(X))<=>(generous(X)&~tall(X))))&
(![X]:(~funny(X)<=>(quiet(X)<~>~brave(X))))&
((?[X]:((~funny(X)|tall(X))))<=>(?[X]:((~brave(X)&~kind(X)))))&
(![X]:(~generous(X)<=>(patient(X)<~>curious(X))))&
((?[X]:((creative(X)&curious(X))))<=>((~funny... | ~calm(paul) | [] | null | 0 |
Everyone who is not strong or quiet is brave or not tall and vice versa.
Everyone who is both generous and not humble is both not wise and not rich.
If susan is either not happy or tall then lucy is not strong and vice versa.
If john is both humble and rich then mary is either not patient or curious and vice versa.
Eve... | Susan is funny. | contradiction | (![X]:((~strong(X)|quiet(X))<=>(brave(X)|~tall(X))))&
(![X]:((generous(X)&~humble(X))=>(~wise(X)&~rich(X))))&
(((~happy(susan)<~>tall(susan)))<=>(~strong(lucy)))&
(((humble(john)&rich(john)))<=>((~patient(mary)<~>curious(mary))))&
(![X]:((creative(X)<~>rich(X))<=>~brave(X)))&
((creative(susan))<=>(~tall(mary)))&
(![X]:... | funny(susan) | [
"p4",
"p6",
"p7",
"p10",
"p12",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1395034971394276238403382
% SZS output start Proof for 1395034971394276238403382
5. ! [X0] : ((creative(X0) <~> rich(X0)) <=> ~brave(X0)) [input p4]
7. ! [X0] : ((~kind(X0) <~> tall(X0)) <=> rich(X0)) [input p6]
8. (~rich(susan) & ~brave(susan)) <=> ? [X0] : (kind(X0) <~> ~patient(X0)) [i... | 0 |
Everyone who is either kind or curious is not curious or not humble. Everyone who is not old is either not old or kind and vice versa. If someone is not humble then fred is calm or happy and vice versa. Everyone who is both not funny and happy is not funny and vice versa. If lucy is both wise and humble then someone is... | John is not generous. | neutral | (![X]:((kind(X)<~>curious(X))=>(~curious(X)|~humble(X))))&
(![X]:(~old(X)<=>(~old(X)<~>kind(X))))&
((?[X]:(~humble(X)))<=>((calm(fred)|happy(fred))))&
(![X]:((~funny(X)&happy(X))<=>~funny(X)))&
(((wise(lucy)&humble(lucy)))=>(?[X]:((quiet(X)&rich(X)))))&
(((wise(john)<~>~brave(john)))<=>((~generous(alice)<~>old(alice)))... | ~generous(john) | [] | null | 0 |
If lucy is not strong or strong then lucy is not rich or creative and vice versa.
Everyone who is either not creative or not generous is both not humble and not calm.
Everyone who is generous is not rich and vice versa.
Everyone who is either not humble or generous is kind or humble.
If john is not patient or not curio... | Alice is brave. | neutral | (((~strong(lucy)|strong(lucy)))<=>((~rich(lucy)|creative(lucy))))&
(![X]:((~creative(X)<~>~generous(X))=>(~humble(X)&~calm(X))))&
(![X]:(generous(X)<=>~rich(X)))&
(![X]:((~humble(X)<~>generous(X))=>(kind(X)|humble(X))))&
(((~patient(john)|~curious(john)))<=>(?[X]:((~quiet(X)&~patient(X)))))&
(![X]:((humble(X)<~>~humble... | brave(alice) | [] | null | 0 |
If someone is both generous and not creative then mary is both happy and creative.
If paul is either not tall or not old then someone is quiet or calm and vice versa.
If lucy is happy or tall then john is both not wise and not humble.
Everyone who is not happy or quiet is not patient and vice versa.
Everyone who is bot... | John is tall. | neutral | ((?[X]:((generous(X)&~creative(X))))=>((happy(mary)&creative(mary))))&
(((~tall(paul)<~>~old(paul)))<=>(?[X]:((quiet(X)|calm(X)))))&
(((happy(lucy)|tall(lucy)))=>((~wise(john)&~humble(john))))&
(![X]:((~happy(X)|quiet(X))<=>~patient(X)))&
(![X]:((happy(X)&quiet(X))<=>(~humble(X)|~happy(X))))&
(((~kind(mary)|patient(mar... | tall(john) | [] | null | 0 |
Everyone who is both generous and strong is rich or old. Everyone who is both not brave and not funny is either quiet or curious. If someone is both humble and generous then someone is either strong or happy and vice versa. Everyone who is both not strong and not creative is wise and vice versa. If someone is not tall ... | Fred is not wise. | entailment | (![X]:((generous(X)&strong(X))=>(rich(X)|old(X))))&
(![X]:((~brave(X)&~funny(X))=>(quiet(X)<~>curious(X))))&
((?[X]:((humble(X)&generous(X))))<=>(?[X]:((strong(X)<~>happy(X)))))&
(![X]:((~strong(X)&~creative(X))<=>wise(X)))&
((?[X]:(~tall(X)))<=>(?[X]:(kind(X))))&
((?[X]:((~patient(X)&~curious(X))))=>(?[X]:(~wise(X))))... | ~wise(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5017566157919534708333732
% SZS output start Proof for 5017566157919534708333732
8. ! [X0] : ((~old(X0) & old(X0)) <=> wise(X0)) [input p7]
25. wise(fred) [input hypothesis]
55. ! [X0] : (((~old(X0) & old(X0)) | ~wise(X0)) & (wise(X0) | (old(X0) | ~old(X0)))) [nnf transformation 8]
56. ! ... | 0 |
If paul is brave then someone is both old and not generous and vice versa.
Everyone who is both not wise and strong is rich or curious and vice versa.
Everyone who is not funny is not kind and vice versa.
If john is either not patient or not curious then someone is brave and vice versa.
If someone is not patient then s... | Mary is generous. | contradiction | ((brave(paul))<=>(?[X]:((old(X)&~generous(X)))))&
(![X]:((~wise(X)&strong(X))<=>(rich(X)|curious(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(((~patient(john)<~>~curious(john)))<=>(?[X]:(brave(X))))&
((?[X]:(~patient(X)))<=>(?[X]:((humble(X)<~>~brave(X)))))&
((?[X]:((funny(X)&rich(X))))<=>(?[X]:(~creative(X))))&
(![X]:((curi... | generous(mary) | [
"p1",
"p5",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4334211099729702756734697
% SZS output start Proof for 4334211099729702756734697
2. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (curious(X0) | rich(X0))) [input p1]
6. ? [X0] : (rich(X0) & funny(X0)) <=> ? [X0] : ~creative(X0) [input p5]
7. ! [X0] : ((curious(X0) <~> rich(X0)) => (wise(X0) & s... | 0 |
Everyone who is not humble or not kind is wise.
If susan is not generous or not old then someone is either not creative or creative and vice versa.
Everyone who is both not old and patient is either brave or strong.
Everyone who is rich is either strong or humble and vice versa.
If john is both quiet and not brave then... | Susan is calm. | entailment | (![X]:((~humble(X)|~kind(X))=>wise(X)))&
(((~generous(susan)|~old(susan)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((~old(X)&patient(X))=>(brave(X)<~>strong(X))))&
(![X]:(rich(X)<=>(strong(X)<~>humble(X))))&
(((quiet(john)&~brave(john)))=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:(strong(X)<=>(~happy(X)&~calm(X))... | calm(susan) | [
"p0",
"p3",
"p5",
"p9",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5417725282358826499686570
% SZS output start Proof for 5417725282358826499686570
1. ! [X0] : ((~kind(X0) | ~humble(X0)) => wise(X0)) [input p0]
4. ! [X0] : (rich(X0) <=> (strong(X0) <~> humble(X0))) [input p3]
6. ! [X0] : (strong(X0) <=> (~calm(X0) & ~happy(X0))) [input p5]
10. ! [X0] : (... | 0 |
Everyone who is not wise or tall is both not rich and not humble and vice versa. Everyone who is either not strong or generous is both funny and brave. If john is brave then someone is either brave or not tall and vice versa. If someone is either patient or not humble then someone is humble or brave. If someone is eith... | Mary is patient. | entailment | (![X]:((~wise(X)|tall(X))<=>(~rich(X)&~humble(X))))&
(![X]:((~strong(X)<~>generous(X))=>(funny(X)&brave(X))))&
((brave(john))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)|brave(X)))))&
((?[X]:((old(X)<~>curious(X))))=>(?[X]:(calm(X))))&
(![X]:(happy(X)<=>generous(X)))&
(![X]... | patient(mary) | [
"p0",
"p3",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1181008594271717859864805
% SZS output start Proof for 1181008594271717859864805
1. ! [X0] : ((tall(X0) | ~wise(X0)) <=> (~humble(X0) & ~rich(X0))) [input p0]
4. ? [X0] : (patient(X0) <~> ~humble(X0)) => ? [X0] : (brave(X0) | humble(X0)) [input p3]
10. ! [X0] : (curious(X0) <=> ~strong(X0... | 0 |
Everyone who is quiet or not humble is both rich and humble and vice versa.
Everyone who is either not calm or not tall is creative and vice versa.
If john is either funny or not generous then someone is both not rich and tall.
Everyone who is both tall and not strong is both not tall and creative and vice versa.
If so... | Mary is wise. | neutral | (![X]:((quiet(X)|~humble(X))<=>(rich(X)&humble(X))))&
(![X]:((~calm(X)<~>~tall(X))<=>creative(X)))&
(((funny(john)<~>~generous(john)))=>(?[X]:((~rich(X)&tall(X)))))&
(![X]:((tall(X)&~strong(X))<=>(~tall(X)&creative(X))))&
((?[X]:((~old(X)|~happy(X))))<=>(old(lucy)))&
(![X]:((~old(X)|old(X))<=>(~calm(X)<~>calm(X))))&
((... | wise(mary) | [] | null | 0 |
If alice is not humble or brave then someone is both generous and humble and vice versa. If someone is kind then someone is both not humble and generous and vice versa. Everyone who is both tall and not humble is both curious and kind. Everyone who is either happy or kind is funny or not funny. If susan is either curio... | Fred is not old. | entailment | (((~humble(alice)|brave(alice)))<=>(?[X]:((generous(X)&humble(X)))))&
((?[X]:(kind(X)))<=>(?[X]:((~humble(X)&generous(X)))))&
(![X]:((tall(X)&~humble(X))=>(curious(X)&kind(X))))&
(![X]:((happy(X)<~>kind(X))=>(funny(X)|~funny(X))))&
(((curious(susan)<~>creative(susan)))=>(?[X]:((generous(X)<~>creative(X)))))&
(![X]:((ca... | ~old(fred) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8386765124819411418238790
% SZS output start Proof for 8386765124819411418238790
7. ? [X0] : (~patient(X0) | wise(X0)) => ~old(fred) [input p6]
24. wise(lucy) | ~patient(lucy) [input p23]
25. old(fred) [input hypothesis]
33. ~old(fred) | ! [X0] : (patient(X0) & ~wise(X0)) [ennf transforma... | 0 |
Everyone who is both not humble and quiet is patient or quiet.
Everyone who is not creative or kind is patient and vice versa.
If fred is creative or not generous then john is not creative.
Everyone who is calm or curious is both not curious and not happy and vice versa.
If fred is either calm or not calm then someone ... | Fred is not brave. | neutral | (![X]:((~humble(X)&quiet(X))=>(patient(X)|quiet(X))))&
(![X]:((~creative(X)|kind(X))<=>patient(X)))&
(((creative(fred)|~generous(fred)))=>(~creative(john)))&
(![X]:((calm(X)|curious(X))<=>(~curious(X)&~happy(X))))&
(((calm(fred)<~>~calm(fred)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(rich(X)<=>~brave(X)))&
((?[X]:((~... | ~brave(fred) | [] | null | 0 |
If lucy is patient or not strong then someone is both not happy and kind and vice versa.
Everyone who is both calm and strong is either not wise or old.
If someone is tall or not humble then someone is either creative or generous.
Everyone who is not tall or not rich is both old and not curious.
If john is either not f... | Paul is not tall. | contradiction | (((patient(lucy)|~strong(lucy)))<=>(?[X]:((~happy(X)&kind(X)))))&
(![X]:((calm(X)&strong(X))=>(~wise(X)<~>old(X))))&
((?[X]:((tall(X)|~humble(X))))=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:((~tall(X)|~rich(X))=>(old(X)&~curious(X))))&
(((~funny(john)<~>creative(john)))<=>((humble(paul)|curious(paul))))&
(![X]:(wis... | ~tall(paul) | [
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 301350367349293745171483
% SZS output start Proof for 301350367349293745171483
4. ! [X0] : ((~rich(X0) | ~tall(X0)) => (~curious(X0) & old(X0))) [input p3]
15. ! [X0] : ((old(X0) | happy(X0)) <=> ~old(X0)) [input p14]
22. ~tall(paul) [input hypothesis]
26. ! [X0] : (~tall(X0) => (~curious... | 0 |
If susan is both humble and strong then fred is not wise.
Everyone who is happy or not humble is patient or humble.
Everyone who is not brave or tall is both not patient and not humble and vice versa.
Everyone who is both not old and tall is both not calm and not tall and vice versa.
If john is not kind or not strong t... | John is not generous. | neutral | (((humble(susan)&strong(susan)))=>(~wise(fred)))&
(![X]:((happy(X)|~humble(X))=>(patient(X)|humble(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)&~humble(X))))&
(![X]:((~old(X)&tall(X))<=>(~calm(X)&~tall(X))))&
(((~kind(john)|~strong(john)))<=>((~kind(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~humble(X... | ~generous(john) | [] | null | 0 |
If someone is both creative and not creative then someone is either brave or tall and vice versa.
Everyone who is either not humble or humble is both brave and not old.
Everyone who is wise is not creative.
If someone is not funny then someone is not tall and vice versa.
Everyone who is curious is both kind and patient... | Susan is brave. | entailment | ((?[X]:((creative(X)&~creative(X))))<=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((~humble(X)<~>humble(X))=>(brave(X)&~old(X))))&
(![X]:(wise(X)=>~creative(X)))&
((?[X]:(~funny(X)))<=>(?[X]:(~tall(X))))&
(![X]:(curious(X)<=>(kind(X)&patient(X))))&
(![X]:(~kind(X)<=>rich(X)))&
((?[X]:((~rich(X)&~creative(X))))<=>(?[X]:((~cu... | brave(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8127591699021351201403099
% SZS output start Proof for 8127591699021351201403099
2. ! [X0] : ((~humble(X0) <~> humble(X0)) => (~old(X0) & brave(X0))) [input p1]
20. ~brave(susan) [input hypothesis]
25. ! [X0] : ((~old(X0) & brave(X0)) | (~humble(X0) <=> humble(X0))) [ennf transformation 2... | 0 |
Everyone who is either old or funny is not old or old and vice versa.
Everyone who is either not funny or not curious is both not curious and not brave and vice versa.
Everyone who is both brave and not creative is both not creative and creative and vice versa.
If someone is either not old or rich then someone is eithe... | Paul is brave. | contradiction | (![X]:((old(X)<~>funny(X))<=>(~old(X)|old(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(~curious(X)&~brave(X))))&
(![X]:((brave(X)&~creative(X))<=>(~creative(X)&creative(X))))&
((?[X]:((~old(X)<~>rich(X))))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((wise(alice)|~generous(alice)))=>((kind(john)<~>quiet(john))))&
(![X]:(patie... | brave(paul) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7618857931348966637547616
% SZS output start Proof for 7618857931348966637547616
8. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (~strong(X0) | ~old(X0))) [input p7]
10. ! [X0] : ((~kind(X0) | strong(X0)) => (calm(X0) & old(X0))) [input p9]
23. brave(paul) [input hypothesis]
27. ! [X0] : ((~... | 0 |
Everyone who is not happy or not kind is not funny or not kind.
Everyone who is not creative or creative is both not generous and not tall.
Everyone who is either not creative or funny is not generous and vice versa.
Everyone who is both not patient and not humble is both tall and not humble and vice versa.
If someone ... | Alice is quiet. | neutral | (![X]:((~happy(X)|~kind(X))=>(~funny(X)|~kind(X))))&
(![X]:((~creative(X)|creative(X))=>(~generous(X)&~tall(X))))&
(![X]:((~creative(X)<~>funny(X))<=>~generous(X)))&
(![X]:((~patient(X)&~humble(X))<=>(tall(X)&~humble(X))))&
((?[X]:((kind(X)&creative(X))))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(((rich(john)&~brave(john)))<=... | quiet(alice) | [] | null | 0 |
Everyone who is not curious is happy or not humble.
If someone is quiet or funny then someone is either humble or not calm.
Everyone who is brave is not calm or generous.
If john is patient then someone is not strong or happy and vice versa.
Everyone who is either curious or not kind is either not kind or not patient a... | John is not curious. | entailment | (![X]:(~curious(X)=>(happy(X)|~humble(X))))&
((?[X]:((quiet(X)|funny(X))))=>(?[X]:((humble(X)<~>~calm(X)))))&
(![X]:(brave(X)=>(~calm(X)|generous(X))))&
((patient(john))<=>(?[X]:((~strong(X)|happy(X)))))&
(![X]:((curious(X)<~>~kind(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((tall(X)|humble(X))=>(old(X)|~generous(X))))&
(... | ~curious(john) | [
"p3",
"p4",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3205225480428841536206875
% SZS output start Proof for 3205225480428841536206875
4. patient(john) <=> ? [X0] : (happy(X0) | ~strong(X0)) [input p3]
5. ! [X0] : ((curious(X0) <~> ~kind(X0)) <=> (~kind(X0) <~> ~patient(X0))) [input p4]
16. ! [X0] : ((~happy(X0) | ~tall(X0)) <=> (calm(X0) & ... | 0 |
Everyone who is either generous or not generous is both not curious and creative and vice versa. If alice is both calm and not strong then someone is both not quiet and not brave. Everyone who is not strong or strong is both wise and not patient. If john is both brave and not generous then susan is either not creative ... | Fred is not old. | contradiction | (![X]:((generous(X)<~>~generous(X))<=>(~curious(X)&creative(X))))&
(((calm(alice)&~strong(alice)))=>(?[X]:((~quiet(X)&~brave(X)))))&
(![X]:((~strong(X)|strong(X))=>(wise(X)&~patient(X))))&
(((brave(john)&~generous(john)))=>((~creative(susan)<~>humble(susan))))&
(![X]:((brave(X)<~>~happy(X))<=>(~creative(X)|old(X))))&
(... | ~old(fred) | [
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6551700524795214703142220
% SZS output start Proof for 6551700524795214703142220
3. ! [X0] : ((strong(X0) | ~strong(X0)) => (~patient(X0) & wise(X0))) [input p2]
8. ! [X0] : ((~old(X0) <~> patient(X0)) => (~kind(X0) & ~happy(X0))) [input p7]
9. ! [X0] : (~patient(X0) <=> (kind(X0) & happy... | 0 |
Everyone who is both not strong and wise is strong and vice versa. Everyone who is not strong is not patient. If alice is either kind or creative then someone is either not wise or creative. If someone is both brave and not creative then mary is not quiet or not generous. Everyone who is curious or not quiet is either ... | Susan is strong. | contradiction | (![X]:((~strong(X)&wise(X))<=>strong(X)))&
(![X]:(~strong(X)=>~patient(X)))&
(((kind(alice)<~>creative(alice)))=>(?[X]:((~wise(X)<~>creative(X)))))&
((?[X]:((brave(X)&~creative(X))))=>((~quiet(mary)|~generous(mary))))&
(![X]:((curious(X)|~quiet(X))=>(tall(X)<~>~curious(X))))&
((patient(alice))<=>(?[X]:(~brave(X))))&
((... | strong(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 6906412068044015959094
% SZS output start Proof for 6906412068044015959094
1. ! [X0] : ((wise(X0) & ~strong(X0)) <=> strong(X0)) [input p0]
23. strong(susan) [input hypothesis]
34. ! [X0] : (((wise(X0) & ~strong(X0)) | ~strong(X0)) & (strong(X0) | (~wise(X0) | strong(X0)))) [nnf transform... | 0 |
Everyone who is both creative and not kind is not tall or not rich and vice versa.
If paul is either not kind or not rich then someone is not rich or not humble.
If someone is kind or brave then mary is happy or rich.
Everyone who is not creative is either calm or not curious and vice versa.
If lucy is not curious then... | Mary is not creative. | contradiction | (![X]:((creative(X)&~kind(X))<=>(~tall(X)|~rich(X))))&
(((~kind(paul)<~>~rich(paul)))=>(?[X]:((~rich(X)|~humble(X)))))&
((?[X]:((kind(X)|brave(X))))=>((happy(mary)|rich(mary))))&
(![X]:(~creative(X)<=>(calm(X)<~>~curious(X))))&
((~curious(lucy))<=>(?[X]:((~happy(X)|strong(X)))))&
((?[X]:((brave(X)&~old(X))))<=>(?[X]:((... | ~creative(mary) | [
"p0",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3813623602576076369868057
% SZS output start Proof for 3813623602576076369868057
1. ! [X0] : ((~kind(X0) & creative(X0)) <=> (~rich(X0) | ~tall(X0))) [input p0]
7. ! [X0] : (wise(X0) => ~brave(X0)) [input p6]
11. ! [X0] : ((~humble(X0) | brave(X0)) <=> (happy(X0) & wise(X0))) [input p10]
... | 0 |
If someone is quiet then paul is generous or tall.
If fred is not strong or not happy then fred is not curious or calm and vice versa.
Everyone who is brave is both rich and creative and vice versa.
Everyone who is not generous or not old is kind.
If someone is both not calm and not wise then lucy is both quiet and not... | Alice is creative. | neutral | ((?[X]:(quiet(X)))=>((generous(paul)|tall(paul))))&
(((~strong(fred)|~happy(fred)))<=>((~curious(fred)|calm(fred))))&
(![X]:(brave(X)<=>(rich(X)&creative(X))))&
(![X]:((~generous(X)|~old(X))=>kind(X)))&
((?[X]:((~calm(X)&~wise(X))))=>((quiet(lucy)&~curious(lucy))))&
((strong(mary))=>((patient(fred)|brave(fred))))&
((?[... | creative(alice) | [] | null | 0 |
If someone is both not creative and not brave then lucy is either happy or not brave.
Everyone who is either not humble or not tall is either not generous or funny.
Everyone who is either not brave or creative is both not kind and strong.
Everyone who is not happy or not curious is quiet.
If someone is both calm and cr... | Lucy is not curious. | entailment | ((?[X]:((~creative(X)&~brave(X))))=>((happy(lucy)<~>~brave(lucy))))&
(![X]:((~humble(X)<~>~tall(X))=>(~generous(X)<~>funny(X))))&
(![X]:((~brave(X)<~>creative(X))=>(~kind(X)&strong(X))))&
(![X]:((~happy(X)|~curious(X))=>quiet(X)))&
((?[X]:((calm(X)&creative(X))))=>(?[X]:((quiet(X)&~humble(X)))))&
(![X]:((~funny(X)&happ... | ~curious(lucy) | [
"p1",
"p5",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 49260749180606491081220
% SZS output start Proof for 49260749180606491081220
2. ! [X0] : ((~humble(X0) <~> ~tall(X0)) => (~generous(X0) <~> funny(X0))) [input p1]
6. ! [X0] : ((happy(X0) & ~funny(X0)) <=> (~curious(X0) <~> humble(X0))) [input p5]
10. ! [X0] : ((~humble(X0) & ~brave(X0)) <... | 0 |
If someone is old or not brave then someone is not patient and vice versa.
If fred is not strong then alice is not patient and vice versa.
Everyone who is brave is patient or not wise and vice versa.
If susan is not quiet then someone is rich or generous and vice versa.
Everyone who is both not calm and not creative is... | Susan is not humble. | entailment | ((?[X]:((old(X)|~brave(X))))<=>(?[X]:(~patient(X))))&
((~strong(fred))<=>(~patient(alice)))&
(![X]:(brave(X)<=>(patient(X)|~wise(X))))&
((~quiet(susan))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:((~calm(X)&~creative(X))=>old(X)))&
(![X]:((~old(X)&~wise(X))<=>~brave(X)))&
(![X]:(curious(X)=>(creative(X)&~wise(X))))&
(![X... | ~humble(susan) | [
"p0",
"p2",
"p5",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1005144561904525220197066
% SZS output start Proof for 1005144561904525220197066
1. ? [X0] : (~brave(X0) | old(X0)) <=> ? [X0] : ~patient(X0) [input p0]
3. ! [X0] : (brave(X0) <=> (~wise(X0) | patient(X0))) [input p2]
6. ! [X0] : ((~wise(X0) & ~old(X0)) <=> ~brave(X0)) [input p5]
8. ! [X0... | 0 |
Everyone who is both not rich and calm is both funny and not brave.
If fred is either not curious or not patient then someone is either not funny or old.
Everyone who is not patient is either not old or curious.
Everyone who is not kind or not strong is either not tall or curious and vice versa.
Everyone who is generou... | Paul is not kind. | contradiction | (![X]:((~rich(X)&calm(X))=>(funny(X)&~brave(X))))&
(((~curious(fred)<~>~patient(fred)))=>(?[X]:((~funny(X)<~>old(X)))))&
(![X]:(~patient(X)=>(~old(X)<~>curious(X))))&
(![X]:((~kind(X)|~strong(X))<=>(~tall(X)<~>curious(X))))&
(![X]:(generous(X)=>(~calm(X)&happy(X))))&
((?[X]:((~calm(X)&patient(X))))<=>(~quiet(paul)))&
(... | ~kind(paul) | [
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7047525759231328698876540
% SZS output start Proof for 7047525759231328698876540
11. ! [X0] : (brave(X0) => (~generous(X0) & curious(X0))) [input p10]
13. (~kind(paul) & ~curious(paul)) <=> ? [X0] : (~happy(X0) | curious(X0)) [input p12]
15. ! [X0] : ((~old(X0) & brave(X0)) <=> (~rich(X0)... | 0 |
Everyone who is either old or generous is not calm and vice versa.
If someone is both not old and not rich then someone is brave and vice versa.
Everyone who is kind is not quiet.
Everyone who is both not rich and not patient is both brave and not generous.
If susan is creative or wise then someone is not calm.
If some... | Mary is not calm. | entailment | (![X]:((old(X)<~>generous(X))<=>~calm(X)))&
((?[X]:((~old(X)&~rich(X))))<=>(?[X]:(brave(X))))&
(![X]:(kind(X)=>~quiet(X)))&
(![X]:((~rich(X)&~patient(X))=>(brave(X)&~generous(X))))&
(((creative(susan)|wise(susan)))=>(?[X]:(~calm(X))))&
((?[X]:((~kind(X)|brave(X))))<=>(?[X]:((calm(X)|funny(X)))))&
((?[X]:((wise(X)<~>hum... | ~calm(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8800314928580134878650629
% SZS output start Proof for 8800314928580134878650629
18. rich(mary) & ~calm(mary) [input p17]
25. calm(mary) [input hypothesis]
124. ~calm(mary) [cnf transformation 18]
134. calm(mary) [cnf transformation 25]
290. $false [subsumption resolution 134,124]
% SZS o... | 0 |
Everyone who is not curious is generous.
Everyone who is not curious is not funny or not creative and vice versa.
Everyone who is curious is either happy or not patient and vice versa.
If someone is kind or creative then lucy is both humble and not happy.
Everyone who is both creative and not creative is not generous o... | Mary is generous. | entailment | (![X]:(~curious(X)=>generous(X)))&
(![X]:(~curious(X)<=>(~funny(X)|~creative(X))))&
(![X]:(curious(X)<=>(happy(X)<~>~patient(X))))&
((?[X]:((kind(X)|creative(X))))=>((humble(lucy)&~happy(lucy))))&
(![X]:((creative(X)&~creative(X))<=>(~generous(X)|~quiet(X))))&
(![X]:((~curious(X)&kind(X))=>(~happy(X)&~strong(X))))&
(((... | generous(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7116764871634748793816604
% SZS output start Proof for 7116764871634748793816604
5. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~quiet(X0) | ~generous(X0))) [input p4]
23. ~generous(mary) [input hypothesis]
41. ! [X0] : (((~creative(X0) & creative(X0)) | (quiet(X0) & generous(X0))) & ((... | 0 |
If someone is not quiet then someone is either brave or not creative.
Everyone who is patient is not wise and vice versa.
Everyone who is either not brave or patient is not creative and vice versa.
If someone is both not generous and not curious then someone is not tall or not kind.
Everyone who is both calm and happy ... | Alice is not rich. | entailment | ((?[X]:(~quiet(X)))=>(?[X]:((brave(X)<~>~creative(X)))))&
(![X]:(patient(X)<=>~wise(X)))&
(![X]:((~brave(X)<~>patient(X))<=>~creative(X)))&
((?[X]:((~generous(X)&~curious(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:((calm(X)&happy(X))<=>~curious(X)))&
(![X]:((quiet(X)<~>happy(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:(~... | ~rich(alice) | [
"p1",
"p2",
"p4",
"p5",
"p9",
"p12",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 691570513797196734991397
% SZS output start Proof for 691570513797196734991397
2. ! [X0] : (patient(X0) <=> ~wise(X0)) [input p1]
3. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> ~creative(X0)) [input p2]
5. ! [X0] : ((happy(X0) & calm(X0)) <=> ~curious(X0)) [input p4]
6. ! [X0] : ((quiet(X0... | 0 |
Everyone who is both not tall and quiet is not humble or wise. Everyone who is both not rich and tall is funny or not strong and vice versa. Everyone who is quiet or old is either wise or not quiet and vice versa. If john is both not brave and not happy then susan is not calm and vice versa. Everyone who is brave is qu... | Susan is curious. | neutral | (![X]:((~tall(X)&quiet(X))=>(~humble(X)|wise(X))))&
(![X]:((~rich(X)&tall(X))<=>(funny(X)|~strong(X))))&
(![X]:((quiet(X)|old(X))<=>(wise(X)<~>~quiet(X))))&
(((~brave(john)&~happy(john)))<=>(~calm(susan)))&
(![X]:(brave(X)=>(quiet(X)|~patient(X))))&
(((tall(susan)<~>wise(susan)))<=>(?[X]:((funny(X)|humble(X)))))&
(![X]... | curious(susan) | [] | null | 0 |
If someone is both rich and curious then alice is either not kind or creative and vice versa. If someone is tall or strong then someone is not happy or curious. If someone is either calm or rich then someone is both not strong and not kind and vice versa. If john is both not brave and strong then someone is old and vic... | Mary is not tall. | neutral | ((?[X]:((rich(X)&curious(X))))<=>((~kind(alice)<~>creative(alice))))&
((?[X]:((tall(X)|strong(X))))=>(?[X]:((~happy(X)|curious(X)))))&
((?[X]:((calm(X)<~>rich(X))))<=>(?[X]:((~strong(X)&~kind(X)))))&
(((~brave(john)&strong(john)))<=>(?[X]:(old(X))))&
(![X]:((~tall(X)<~>~humble(X))<=>~strong(X)))&
((kind(alice))<=>((cal... | ~tall(mary) | [] | null | 0 |
Everyone who is either not wise or not funny is either not quiet or curious.
Everyone who is both not funny and patient is brave.
If lucy is either not patient or humble then john is either not creative or calm and vice versa.
If mary is not curious then paul is both not tall and not calm and vice versa.
Everyone who i... | John is not funny. | entailment | (![X]:((~wise(X)<~>~funny(X))=>(~quiet(X)<~>curious(X))))&
(![X]:((~funny(X)&patient(X))=>brave(X)))&
(((~patient(lucy)<~>humble(lucy)))<=>((~creative(john)<~>calm(john))))&
((~curious(mary))<=>((~tall(paul)&~calm(paul))))&
(![X]:((quiet(X)|curious(X))<=>~kind(X)))&
(![X]:((~generous(X)<~>calm(X))=>(~wise(X)&creative(X... | ~funny(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4993957514394374489619795
% SZS output start Proof for 4993957514394374489619795
10. ! [X0] : ((funny(X0) | ~patient(X0)) <=> (~funny(X0) & quiet(X0))) [input p9]
25. funny(john) [input hypothesis]
55. ! [X0] : (((funny(X0) | ~patient(X0)) | (funny(X0) | ~quiet(X0))) & ((~funny(X0) & quie... | 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... | Alice is not generous. | entailment | (![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))<=>... | ~generous(alice) | [
"p0",
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7094318092711013168161677
% SZS output start Proof for 7094318092711013168161677
1. ! [X0] : ((strong(X0) & tall(X0)) <=> (~happy(X0) | ~wise(X0))) [input p0]
4. ? [X0] : (~happy(X0) <~> ~patient(X0)) => (~creative(alice) & strong(alice)) [input p3]
8. ! [X0] : ((~patient(X0) <~> ~kind(X0... | 0 |
Everyone who is either tall or quiet is not brave. If lucy is not curious then someone is both not old and not funny and vice versa. If alice is either not humble or tall then paul is both strong and not tall and vice versa. Everyone who is calm is old and vice versa. If susan is not creative then someone is kind and v... | Susan is patient. | entailment | (![X]:((tall(X)<~>quiet(X))=>~brave(X)))&
((~curious(lucy))<=>(?[X]:((~old(X)&~funny(X)))))&
(((~humble(alice)<~>tall(alice)))<=>((strong(paul)&~tall(paul))))&
(![X]:(calm(X)<=>old(X)))&
((~creative(susan))<=>(?[X]:(kind(X))))&
(![X]:((~tall(X)<~>~quiet(X))<=>brave(X)))&
(![X]:((~wise(X)<~>creative(X))=>(patient(X)<~>c... | patient(susan) | [
"p0",
"p4",
"p5",
"p6",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5210653367792371776456997
% SZS output start Proof for 5210653367792371776456997
1. ! [X0] : ((tall(X0) <~> quiet(X0)) => ~brave(X0)) [input p0]
5. ~creative(susan) <=> ? [X0] : kind(X0) [input p4]
6. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> brave(X0)) [input p5]
7. ! [X0] : ((~wise(X0) <... | 0 |
If someone is not happy or patient then lucy is both quiet and not old and vice versa.
Everyone who is either wise or not creative is either quiet or humble and vice versa.
Everyone who is not strong is not happy and vice versa.
If someone is either strong or not kind then someone is either not wise or quiet and vice v... | Lucy is not rich. | contradiction | ((?[X]:((~happy(X)|patient(X))))<=>((quiet(lucy)&~old(lucy))))&
(![X]:((wise(X)<~>~creative(X))<=>(quiet(X)<~>humble(X))))&
(![X]:(~strong(X)<=>~happy(X)))&
((?[X]:((strong(X)<~>~kind(X))))<=>(?[X]:((~wise(X)<~>quiet(X)))))&
(![X]:((~kind(X)<~>wise(X))=>wise(X)))&
((?[X]:(~wise(X)))=>(?[X]:((~wise(X)&~creative(X)))))&
... | ~rich(lucy) | [
"p0",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3089755741082367431423749
% SZS output start Proof for 3089755741082367431423749
1. ? [X0] : (patient(X0) | ~happy(X0)) <=> (~old(lucy) & quiet(lucy)) [input p0]
13. ? [X0] : generous(X0) => ? [X0] : (patient(X0) & wise(X0)) [input p12]
16. ! [X0] : ((~patient(X0) | ~old(X0)) <=> (~quiet(... | 0 |
Everyone who is either happy or not patient is wise and vice versa.
Everyone who is not wise or not quiet is either creative or rich and vice versa.
Everyone who is rich is kind and vice versa.
Everyone who is both not rich and not strong is quiet and vice versa.
If susan is not curious then paul is not generous or not... | Paul is not creative. | entailment | (![X]:((happy(X)<~>~patient(X))<=>wise(X)))&
(![X]:((~wise(X)|~quiet(X))<=>(creative(X)<~>rich(X))))&
(![X]:(rich(X)<=>kind(X)))&
(![X]:((~rich(X)&~strong(X))<=>quiet(X)))&
((~curious(susan))=>((~generous(paul)|~wise(paul))))&
(![X]:(~creative(X)<=>~tall(X)))&
(![X]:((~humble(X)<~>tall(X))=>(~strong(X)|~happy(X))))&
(!... | ~creative(paul) | [
"p5",
"p7",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5017456553865936727586260
% SZS output start Proof for 5017456553865936727586260
6. ! [X0] : (~creative(X0) <=> ~tall(X0)) [input p5]
8. ! [X0] : ((quiet(X0) | creative(X0)) => (calm(X0) <~> brave(X0))) [input p7]
12. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~generous(X0) | creative(X0... | 0 |
If mary is not tall or not strong then mary is both rich and generous and vice versa. Everyone who is not creative or strong is not quiet and vice versa. Everyone who is not strong is calm or not old. If lucy is rich or not rich then mary is both patient and not wise and vice versa. Everyone who is either old or not cu... | John is not generous. | neutral | (((~tall(mary)|~strong(mary)))<=>((rich(mary)&generous(mary))))&
(![X]:((~creative(X)|strong(X))<=>~quiet(X)))&
(![X]:(~strong(X)=>(calm(X)|~old(X))))&
(((rich(lucy)|~rich(lucy)))<=>((patient(mary)&~wise(mary))))&
(![X]:((old(X)<~>~curious(X))=>(~generous(X)<~>tall(X))))&
((?[X]:(patient(X)))<=>(?[X]:((generous(X)&quie... | ~generous(john) | [] | null | 0 |
Everyone who is brave or not patient is wise and vice versa.
Everyone who is old or not strong is both not wise and not old and vice versa.
If susan is either not curious or strong then mary is not funny or not generous.
Everyone who is either creative or humble is both not calm and not curious and vice versa.
If susan... | Alice is rich. | neutral | (![X]:((brave(X)|~patient(X))<=>wise(X)))&
(![X]:((old(X)|~strong(X))<=>(~wise(X)&~old(X))))&
(((~curious(susan)<~>strong(susan)))=>((~funny(mary)|~generous(mary))))&
(![X]:((creative(X)<~>humble(X))<=>(~calm(X)&~curious(X))))&
(((creative(susan)&curious(susan)))<=>((~patient(john)|quiet(john))))&
(![X]:(generous(X)=>~... | rich(alice) | [] | null | 0 |
Everyone who is humble is not calm and vice versa.
If someone is not curious or curious then john is not funny and vice versa.
Everyone who is both wise and rich is not calm and vice versa.
If lucy is not generous or humble then someone is not rich.
If lucy is either brave or quiet then paul is tall.
Everyone who is no... | Lucy is brave. | contradiction | (![X]:(humble(X)<=>~calm(X)))&
((?[X]:((~curious(X)|curious(X))))<=>(~funny(john)))&
(![X]:((wise(X)&rich(X))<=>~calm(X)))&
(((~generous(lucy)|humble(lucy)))=>(?[X]:(~rich(X))))&
(((brave(lucy)<~>quiet(lucy)))=>(tall(paul)))&
(![X]:((~humble(X)|~tall(X))<=>(~rich(X)|kind(X))))&
(((curious(lucy)|~funny(lucy)))<=>(?[X]:(... | brave(lucy) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3987804842460853780968714
% SZS output start Proof for 3987804842460853780968714
1. ! [X0] : (humble(X0) <=> ~calm(X0)) [input p0]
3. ! [X0] : ((rich(X0) & wise(X0)) <=> ~calm(X0)) [input p2]
6. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (kind(X0) | ~rich(X0))) [input p5]
8. ! [X0] : ((~pati... | 0 |
If paul is both not funny and wise then paul is not calm. Everyone who is quiet or not curious is both not brave and kind and vice versa. If john is both not quiet and wise then someone is humble and vice versa. If susan is not rich then mary is either not funny or not tall. If someone is either rich or not tall then s... | Susan is happy. | contradiction | (((~funny(paul)&wise(paul)))=>(~calm(paul)))&
(![X]:((quiet(X)|~curious(X))<=>(~brave(X)&kind(X))))&
(((~quiet(john)&wise(john)))<=>(?[X]:(humble(X))))&
((~rich(susan))=>((~funny(mary)<~>~tall(mary))))&
((?[X]:((rich(X)<~>~tall(X))))<=>(?[X]:((~kind(X)<~>creative(X)))))&
(((generous(paul)&~kind(paul)))<=>(?[X]:((funny(... | happy(susan) | [
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2119238404469413497113168
% SZS output start Proof for 2119238404469413497113168
12. ! [X0] : ((happy(X0) | ~creative(X0)) <=> (~patient(X0) <~> calm(X0))) [input p11]
15. ! [X0] : ((old(X0) & ~calm(X0)) <=> (calm(X0) <~> ~patient(X0))) [input p14]
21. funny(susan) & calm(susan) [input p2... | 0 |
Everyone who is not creative is not creative or not quiet.
If alice is not humble then someone is both rich and happy.
Everyone who is not patient is not strong or not rich.
If paul is either rich or strong then mary is not humble or calm and vice versa.
Everyone who is not generous or generous is both calm and strong ... | Mary is not brave. | neutral | (![X]:(~creative(X)=>(~creative(X)|~quiet(X))))&
((~humble(alice))=>(?[X]:((rich(X)&happy(X)))))&
(![X]:(~patient(X)=>(~strong(X)|~rich(X))))&
(((rich(paul)<~>strong(paul)))<=>((~humble(mary)|calm(mary))))&
(![X]:((~generous(X)|generous(X))<=>(calm(X)&strong(X))))&
((generous(mary))<=>(?[X]:((funny(X)|~creative(X)))))&... | ~brave(mary) | [] | null | 0 |
Everyone who is either not curious or wise is both not rich and strong and vice versa. Everyone who is either not old or creative is both not kind and not curious and vice versa. If john is either not quiet or not happy then fred is both not strong and not wise. Everyone who is both curious and not humble is either bra... | Mary is brave. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~strong(fred)&~wise(fred))))&
(![X]:((curious(X)&~humble(X))=>(brave(X)<~>happy(X))))&
(![X]:(kind(X)<=>(kind(X)<~>~happy(X))))&
((?[X]:((funny(X)&happy(X))))=>(creativ... | brave(mary) | [] | null | 0 |
If alice is both not tall and not patient then someone is not kind.
If someone is curious then someone is both generous and not funny and vice versa.
If someone is both curious and creative then someone is both generous and tall.
Everyone who is either not curious or quiet is either not tall or humble.
If someone is ei... | Mary is happy. | neutral | (((~tall(alice)&~patient(alice)))=>(?[X]:(~kind(X))))&
((?[X]:(curious(X)))<=>(?[X]:((generous(X)&~funny(X)))))&
((?[X]:((curious(X)&creative(X))))=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((~curious(X)<~>quiet(X))=>(~tall(X)<~>humble(X))))&
((?[X]:((patient(X)<~>~brave(X))))<=>((~calm(john)&~humble(john))))&
(![X]:((~s... | happy(mary) | [] | null | 0 |
If someone is old or not kind then someone is both not patient and not rich and vice versa.
Everyone who is strong or not old is both rich and not tall.
If someone is funny or not funny then someone is funny or rich and vice versa.
Everyone who is generous is both funny and happy.
Everyone who is both not funny and not... | John is rich. | contradiction | ((?[X]:((old(X)|~kind(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:((strong(X)|~old(X))=>(rich(X)&~tall(X))))&
((?[X]:((funny(X)|~funny(X))))<=>(?[X]:((funny(X)|rich(X)))))&
(![X]:(generous(X)=>(funny(X)&happy(X))))&
(![X]:((~funny(X)&~humble(X))<=>(humble(X)|~old(X))))&
(![X]:(old(X)<=>~brave(X)))&
((?[X]:((curious... | rich(john) | [
"p1",
"p3",
"p4",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9057051112308923311763783
% SZS output start Proof for 9057051112308923311763783
2. ! [X0] : ((~old(X0) | strong(X0)) => (~tall(X0) & rich(X0))) [input p1]
4. ! [X0] : (generous(X0) => (happy(X0) & funny(X0))) [input p3]
5. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (~old(X0) | humble(X0)))... | 0 |
If someone is either brave or not rich then someone is both quiet and not strong and vice versa.
If someone is kind or not creative then mary is not quiet or old and vice versa.
If someone is both not humble and not strong then paul is not quiet and vice versa.
Everyone who is both not quiet and happy is both generous ... | Paul is not patient. | contradiction | ((?[X]:((brave(X)<~>~rich(X))))<=>(?[X]:((quiet(X)&~strong(X)))))&
((?[X]:((kind(X)|~creative(X))))<=>((~quiet(mary)|old(mary))))&
((?[X]:((~humble(X)&~strong(X))))<=>(~quiet(paul)))&
(![X]:((~quiet(X)&happy(X))<=>(generous(X)&~quiet(X))))&
((?[X]:(~rich(X)))=>((~calm(paul)&~old(paul))))&
(![X]:((old(X)|patient(X))<=>(... | ~patient(paul) | [
"p4",
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8188142303545604217587150
% SZS output start Proof for 8188142303545604217587150
5. ? [X0] : ~rich(X0) => (~old(paul) & ~calm(paul)) [input p4]
6. ! [X0] : ((patient(X0) | old(X0)) <=> (~patient(X0) | humble(X0))) [input p5]
17. ~rich(mary) [input p16]
24. ~patient(paul) [input hypothesis... | 0 |
Everyone who is both not quiet and creative is both not generous and not patient and vice versa. If someone is both creative and patient then someone is both quiet and strong and vice versa. Everyone who is not old or curious is both happy and not strong. Everyone who is both not quiet and generous is not tall. If some... | Alice is funny. | neutral | (![X]:((~quiet(X)&creative(X))<=>(~generous(X)&~patient(X))))&
((?[X]:((creative(X)&patient(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)|curious(X))=>(happy(X)&~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~tall(X)))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((brave(X)&happy(X)))))&
(![X]:((~funny(X)<~>funny(X)... | funny(alice) | [] | null | 0 |
Everyone who is both not patient and not old is wise and vice versa.
If someone is not happy then someone is not generous.
Everyone who is creative is either generous or kind and vice versa.
Everyone who is either not patient or not creative is not funny.
If someone is not creative then someone is both not curious and ... | Fred is not rich. | neutral | (![X]:((~patient(X)&~old(X))<=>wise(X)))&
((?[X]:(~happy(X)))=>(?[X]:(~generous(X))))&
(![X]:(creative(X)<=>(generous(X)<~>kind(X))))&
(![X]:((~patient(X)<~>~creative(X))=>~funny(X)))&
((?[X]:(~creative(X)))<=>(?[X]:((~curious(X)&~creative(X)))))&
(![X]:((calm(X)&~rich(X))=>(~kind(X)<~>~brave(X))))&
(![X]:((~quiet(X)|b... | ~rich(fred) | [] | null | 0 |
If someone is kind or not brave then someone is humble or not calm.
Everyone who is not generous is not funny.
If someone is funny then mary is either not kind or creative and vice versa.
Everyone who is creative or kind is both not curious and quiet.
Everyone who is strong or not curious is kind and vice versa.
Everyo... | Mary is not creative. | entailment | ((?[X]:((kind(X)|~brave(X))))=>(?[X]:((humble(X)|~calm(X)))))&
(![X]:(~generous(X)=>~funny(X)))&
((?[X]:(funny(X)))<=>((~kind(mary)<~>creative(mary))))&
(![X]:((creative(X)|kind(X))=>(~curious(X)&quiet(X))))&
(![X]:((strong(X)|~curious(X))<=>kind(X)))&
(![X]:((~brave(X)|~creative(X))<=>(~old(X)|quiet(X))))&
(![X]:((old... | ~creative(mary) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5944385477636201348985647
% SZS output start Proof for 5944385477636201348985647
4. ! [X0] : ((kind(X0) | creative(X0)) => (quiet(X0) & ~curious(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | strong(X0)) <=> kind(X0)) [input p4]
6. ! [X0] : ((~creative(X0) | ~brave(X0)) <=> (quiet(X0) | ~o... | 0 |
If mary is creative or kind then paul is rich.
Everyone who is both happy and 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 not curious and vice versa.
If paul is not old or ... | Paul is not humble. | contradiction | (((creative(mary)|kind(mary)))=>(rich(paul)))&
(![X]:((happy(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)|curious(X))<=>patient(X)))&
((?[X... | ~humble(paul) | [
"p1",
"p3",
"p4",
"p5",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 103939253256759136610094
% SZS output start Proof for 103939253256759136610094
2. ! [X0] : ((old(X0) & happy(X0)) <=> (old(X0) <~> quiet(X0))) [input p1]
4. ! [X0] : ((strong(X0) | ~humble(X0)) <=> (~curious(X0) & ~happy(X0))) [input p3]
5. (funny(paul) | ~old(paul)) <=> ? [X0] : ~wise(X0... | 0 |
Everyone who is either not brave or patient is not patient.
If someone is either generous or not old then someone is not old or calm and vice versa.
If someone is generous or calm then fred is generous.
Everyone who is both wise and not happy is both happy and not brave and vice versa.
If someone is tall then someone i... | John is not kind. | neutral | (![X]:((~brave(X)<~>patient(X))=>~patient(X)))&
((?[X]:((generous(X)<~>~old(X))))<=>(?[X]:((~old(X)|calm(X)))))&
((?[X]:((generous(X)|calm(X))))=>(generous(fred)))&
(![X]:((wise(X)&~happy(X))<=>(happy(X)&~brave(X))))&
((?[X]:(tall(X)))=>(?[X]:(~generous(X))))&
(![X]:((~rich(X)&kind(X))<=>(~happy(X)<~>~strong(X))))&
(![... | ~kind(john) | [] | null | 0 |
Everyone who is quiet is not funny. Everyone who is both not curious and curious is both kind and tall and vice versa. If someone is not creative then someone is not quiet or creative and vice versa. Everyone who is not strong is either not kind or not wise and vice versa. Everyone who is either not strong or not funny... | Fred is not calm. | neutral | (![X]:(quiet(X)=>~funny(X)))&
(![X]:((~curious(X)&curious(X))<=>(kind(X)&tall(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~quiet(X)|creative(X)))))&
(![X]:(~strong(X)<=>(~kind(X)<~>~wise(X))))&
(![X]:((~strong(X)<~>~funny(X))=>(~creative(X)|old(X))))&
(((quiet(lucy)&kind(lucy)))<=>((happy(paul)&old(paul))))&
((curious(john... | ~calm(fred) | [] | null | 0 |
Everyone who is either wise or funny is creative.
Everyone who is both rich and not curious is either old or not brave and vice versa.
If paul is not tall or humble then susan is not quiet or wise and vice versa.
Everyone who is both wise and calm is not kind or happy.
Everyone who is both not curious and not wise is b... | Mary is not strong. | neutral | (![X]:((wise(X)<~>funny(X))=>creative(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)<~>~brave(X))))&
(((~tall(paul)|humble(paul)))<=>((~quiet(susan)|wise(susan))))&
(![X]:((wise(X)&calm(X))=>(~kind(X)|happy(X))))&
(![X]:((~curious(X)&~wise(X))<=>(~generous(X)&~strong(X))))&
((~generous(mary))<=>((~strong(alice)&funny(ali... | ~strong(mary) | [] | null | 0 |
If john is not humble or not curious then someone is either not calm or not creative.
Everyone who is either not strong or patient is tall.
If someone is not generous or not rich then someone is either not strong or generous.
Everyone who is funny is both humble and curious and vice versa.
Everyone who is not calm or p... | John is not calm. | entailment | (((~humble(john)|~curious(john)))=>(?[X]:((~calm(X)<~>~creative(X)))))&
(![X]:((~strong(X)<~>patient(X))=>tall(X)))&
((?[X]:((~generous(X)|~rich(X))))=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:(funny(X)<=>(humble(X)&curious(X))))&
(![X]:((~calm(X)|patient(X))<=>(~tall(X)<~>~strong(X))))&
(![X]:((~strong(X)&~tall(X))... | ~calm(john) | [
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6367709627426011094832270
% SZS output start Proof for 6367709627426011094832270
10. ? [X0] : (funny(X0) | ~humble(X0)) => (rich(susan) & ~rich(susan)) [input p9]
11. ! [X0] : ((~curious(X0) | ~old(X0)) => ~calm(X0)) [input p10]
24. funny(john) | ~curious(john) [input p23]
25. calm(john) ... | 0 |
Everyone who is either not generous or not funny is brave and vice versa.
If someone is kind or not rich then mary is not kind or calm.
Everyone who is not curious or not rich is not strong and vice versa.
Everyone who is not quiet is not happy and vice versa.
Everyone who is kind or patient is either happy or not funn... | Alice is strong. | entailment | (![X]:((~generous(X)<~>~funny(X))<=>brave(X)))&
((?[X]:((kind(X)|~rich(X))))=>((~kind(mary)|calm(mary))))&
(![X]:((~curious(X)|~rich(X))<=>~strong(X)))&
(![X]:(~quiet(X)<=>~happy(X)))&
(![X]:((kind(X)|patient(X))=>(happy(X)<~>~funny(X))))&
(![X]:((~quiet(X)&brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(kind(X)<=>(~gen... | strong(alice) | [
"p3",
"p4",
"p5",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 830592428015056830884454
% SZS output start Proof for 830592428015056830884454
4. ! [X0] : (~quiet(X0) <=> ~happy(X0)) [input p3]
5. ! [X0] : ((patient(X0) | kind(X0)) => (happy(X0) <~> ~funny(X0))) [input p4]
6. ! [X0] : ((brave(X0) & ~quiet(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input ... | 0 |
If paul is humble then alice is not tall or creative.
Everyone who is either not generous or not strong is both generous and quiet and vice versa.
Everyone who is quiet is not kind and vice versa.
If someone is both not creative and happy then someone is either creative or not quiet.
Everyone who is not creative is bot... | Lucy is not rich. | entailment | ((humble(paul))=>((~tall(alice)|creative(alice))))&
(![X]:((~generous(X)<~>~strong(X))<=>(generous(X)&quiet(X))))&
(![X]:(quiet(X)<=>~kind(X)))&
((?[X]:((~creative(X)&happy(X))))=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:(~creative(X)=>(strong(X)&~happy(X))))&
(![X]:((happy(X)&~brave(X))<=>~funny(X)))&
((?[X]:((~funn... | ~rich(lucy) | [
"p2",
"p5",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7965777703980003212959016
% SZS output start Proof for 7965777703980003212959016
3. ! [X0] : (quiet(X0) <=> ~kind(X0)) [input p2]
6. ! [X0] : ((~brave(X0) & happy(X0)) <=> ~funny(X0)) [input p5]
11. ! [X0] : ((happy(X0) <~> ~rich(X0)) => (old(X0) & ~happy(X0))) [input p10]
13. ! [X0] : ((... | 0 |
Everyone who is not patient or tall is not generous and vice versa.
Everyone who is not calm or not creative is both wise and tall.
Everyone who is quiet or not tall is kind.
Everyone who is both rich and not curious is both old and not old and vice versa.
Everyone who is kind or old is happy.
Everyone who is both not ... | Lucy is not creative. | contradiction | (![X]:((~patient(X)|tall(X))<=>~generous(X)))&
(![X]:((~calm(X)|~creative(X))=>(wise(X)&tall(X))))&
(![X]:((quiet(X)|~tall(X))=>kind(X)))&
(![X]:((rich(X)&~curious(X))<=>(old(X)&~old(X))))&
(![X]:((kind(X)|old(X))=>happy(X)))&
(![X]:((~curious(X)&~calm(X))<=>(~happy(X)<~>brave(X))))&
(![X]:((strong(X)|tall(X))=>(humble... | ~creative(lucy) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4627444876104179744645958
% SZS output start Proof for 4627444876104179744645958
1. ! [X0] : ((tall(X0) | ~patient(X0)) <=> ~generous(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p1]
5. ! [X0] : ((old(X0) | kind(X0)) => happy(X0)) [input p4]
6.... | 0 |
Everyone who is not humble is either calm or not strong.
Everyone who is not brave is not kind and vice versa.
Everyone who is not old or not curious is either not old or curious.
Everyone who is either brave or patient is either happy or calm.
If lucy is both not kind and not happy then someone is not rich or calm and... | Susan is not funny. | contradiction | (![X]:(~humble(X)=>(calm(X)<~>~strong(X))))&
(![X]:(~brave(X)<=>~kind(X)))&
(![X]:((~old(X)|~curious(X))=>(~old(X)<~>curious(X))))&
(![X]:((brave(X)<~>patient(X))=>(happy(X)<~>calm(X))))&
(((~kind(lucy)&~happy(lucy)))<=>(?[X]:((~rich(X)|calm(X)))))&
(![X]:(~old(X)<=>~happy(X)))&
(![X]:((patient(X)<~>strong(X))<=>(wise(... | ~funny(susan) | [
"p1",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6713347795141868220800874
% SZS output start Proof for 6713347795141868220800874
2. ! [X0] : (~brave(X0) <=> ~kind(X0)) [input p1]
5. (~happy(lucy) & ~kind(lucy)) <=> ? [X0] : (calm(X0) | ~rich(X0)) [input p4]
9. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (kind(X0) & ~funny(X0))) [input p8]
2... | 0 |
Everyone who is not humble or not curious is patient or not kind and vice versa.
Everyone who is not happy or generous is not patient and vice versa.
Everyone who is strong or not happy is not creative.
If someone is old or kind then someone is either humble or curious.
If lucy is both not wise and creative then mary i... | Alice is old. | neutral | (![X]:((~humble(X)|~curious(X))<=>(patient(X)|~kind(X))))&
(![X]:((~happy(X)|generous(X))<=>~patient(X)))&
(![X]:((strong(X)|~happy(X))=>~creative(X)))&
((?[X]:((old(X)|kind(X))))=>(?[X]:((humble(X)<~>curious(X)))))&
(((~wise(lucy)&creative(lucy)))<=>(~funny(mary)))&
(![X]:((patient(X)|~kind(X))<=>(~creative(X)<~>tall(... | old(alice) | [] | null | 0 |
Everyone who is not rich is both calm and rich and vice versa.
Everyone who is not curious is both not rich and not brave.
If john is either wise or not tall then someone is either not rich or not humble.
Everyone who is either not rich or not kind is either wise or generous and vice versa.
If paul is either not curiou... | Paul is not rich. | contradiction | (![X]:(~rich(X)<=>(calm(X)&rich(X))))&
(![X]:(~curious(X)=>(~rich(X)&~brave(X))))&
(((wise(john)<~>~tall(john)))=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((~rich(X)<~>~kind(X))<=>(wise(X)<~>generous(X))))&
(((~curious(paul)<~>calm(paul)))=>(wise(susan)))&
(![X]:((quiet(X)&~quiet(X))=>(calm(X)&~kind(X))))&
((~patient(m... | ~rich(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4996967249719659530131556
% SZS output start Proof for 4996967249719659530131556
1. ! [X0] : (~rich(X0) <=> (rich(X0) & calm(X0))) [input p0]
25. ~rich(paul) [input hypothesis]
46. ! [X0] : ((~rich(X0) | (~rich(X0) | ~calm(X0))) & ((rich(X0) & calm(X0)) | rich(X0))) [nnf transformation 1]... | 0 |
Everyone who is wise or not generous is not curious and vice versa. Everyone who is not tall is not quiet and vice versa. If paul is brave then someone is old. Everyone who is either old or humble is both funny and not quiet. Everyone who is not curious or generous is either generous or brave. If someone is either old ... | Mary is not wise. | contradiction | (![X]:((wise(X)|~generous(X))<=>~curious(X)))&
(![X]:(~tall(X)<=>~quiet(X)))&
((brave(paul))=>(?[X]:(old(X))))&
(![X]:((old(X)<~>humble(X))=>(funny(X)&~quiet(X))))&
(![X]:((~curious(X)|generous(X))=>(generous(X)<~>brave(X))))&
((?[X]:((old(X)<~>~brave(X))))<=>((~quiet(susan)|~tall(susan))))&
(![X]:(patient(X)=>(~curiou... | ~wise(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 129486200080725698459919
% SZS output start Proof for 129486200080725698459919
13. ! [X0] : (~wise(X0) <=> (wise(X0) & generous(X0))) [input p12]
23. ~wise(mary) [input hypothesis]
62. ! [X0] : ((~wise(X0) | (~wise(X0) | ~generous(X0))) & ((wise(X0) & generous(X0)) | wise(X0))) [nnf trans... | 0 |
Everyone who is funny is not old or not creative and vice versa.
If someone is creative then someone is quiet or humble and vice versa.
Everyone who is humble is not strong or not calm.
Everyone who is not happy is not old.
If someone is not patient then john is either wise or not old and vice versa.
Everyone who is ei... | Paul is happy. | neutral | (![X]:(funny(X)<=>(~old(X)|~creative(X))))&
((?[X]:(creative(X)))<=>(?[X]:((quiet(X)|humble(X)))))&
(![X]:(humble(X)=>(~strong(X)|~calm(X))))&
(![X]:(~happy(X)=>~old(X)))&
((?[X]:(~patient(X)))<=>((wise(john)<~>~old(john))))&
(![X]:((humble(X)<~>calm(X))=>~old(X)))&
(![X]:((~happy(X)<~>brave(X))=>quiet(X)))&
(![X]:((~r... | happy(paul) | [] | null | 0 |
Everyone who is either happy or not calm is creative.
If lucy is happy or generous then fred is both not happy and not kind and vice versa.
Everyone who is both strong and not strong is not generous or quiet and vice versa.
Everyone who is wise is both curious and not rich.
Everyone who is both old and humble is both q... | Fred is rich. | neutral | (![X]:((happy(X)<~>~calm(X))=>creative(X)))&
(((happy(lucy)|generous(lucy)))<=>((~happy(fred)&~kind(fred))))&
(![X]:((strong(X)&~strong(X))<=>(~generous(X)|quiet(X))))&
(![X]:(wise(X)=>(curious(X)&~rich(X))))&
(![X]:((old(X)&humble(X))<=>(quiet(X)&~tall(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>(~humble(X)&strong(X))))&... | rich(fred) | [] | null | 0 |
Everyone who is either not brave or not patient is both calm and not kind and vice versa.
Everyone who is either creative or strong is both not rich and generous and vice versa.
Everyone who is both calm and not wise is tall or not brave.
If fred is both not creative and not wise then alice is either not brave or old.
... | Fred is not calm. | neutral | (![X]:((~brave(X)<~>~patient(X))<=>(calm(X)&~kind(X))))&
(![X]:((creative(X)<~>strong(X))<=>(~rich(X)&generous(X))))&
(![X]:((calm(X)&~wise(X))=>(tall(X)|~brave(X))))&
(((~creative(fred)&~wise(fred)))=>((~brave(alice)<~>old(alice))))&
((?[X]:(wise(X)))=>((~old(alice)<~>tall(alice))))&
((?[X]:((generous(X)|~rich(X))))<=... | ~calm(fred) | [] | null | 0 |
Everyone who is not quiet or old is not old and vice versa.
If someone is calm or strong then someone is patient or not humble and vice versa.
If mary is either not generous or not old then someone is both brave and not rich.
Everyone who is calm or strong is creative or not creative and vice versa.
If john is either c... | Susan is kind. | entailment | (![X]:((~quiet(X)|old(X))<=>~old(X)))&
((?[X]:((calm(X)|strong(X))))<=>(?[X]:((patient(X)|~humble(X)))))&
(((~generous(mary)<~>~old(mary)))=>(?[X]:((brave(X)&~rich(X)))))&
(![X]:((calm(X)|strong(X))<=>(creative(X)|~creative(X))))&
(((creative(john)<~>tall(john)))<=>((old(paul)&calm(paul))))&
(![X]:((happy(X)<~>creative... | kind(susan) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8676738744367005888795044
% SZS output start Proof for 8676738744367005888795044
1. ! [X0] : ((old(X0) | ~quiet(X0)) <=> ~old(X0)) [input p0]
11. ! [X0] : (~quiet(X0) <=> kind(X0)) [input p10]
23. ~kind(susan) [input hypothesis]
33. ! [X0] : (((old(X0) | ~quiet(X0)) | old(X0)) & (~old(X0)... | 0 |
If someone is calm then someone is either tall or not generous. If someone is either brave or not strong then susan is not humble or not calm and vice versa. Everyone who is not wise is either wise or not funny and vice versa. If john is either not brave or strong then alice is quiet. Everyone who is both not humble an... | Lucy is not quiet. | entailment | ((?[X]:(calm(X)))=>(?[X]:((tall(X)<~>~generous(X)))))&
((?[X]:((brave(X)<~>~strong(X))))<=>((~humble(susan)|~calm(susan))))&
(![X]:(~wise(X)<=>(wise(X)<~>~funny(X))))&
(((~brave(john)<~>strong(john)))=>(quiet(alice)))&
(![X]:((~humble(X)&~funny(X))<=>(~strong(X)<~>old(X))))&
(![X]:(strong(X)<=>(~quiet(X)|~old(X))))&
((... | ~quiet(lucy) | [
"p2",
"p4",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6839986794492629004159387
% SZS output start Proof for 6839986794492629004159387
3. ! [X0] : (~wise(X0) <=> (wise(X0) <~> ~funny(X0))) [input p2]
5. ! [X0] : ((~funny(X0) & ~humble(X0)) <=> (~strong(X0) <~> old(X0))) [input p4]
6. ! [X0] : (strong(X0) <=> (~old(X0) | ~quiet(X0))) [input p... | 0 |
If john is either not funny or quiet then alice is quiet or generous.
Everyone who is humble or tall is not patient and vice versa.
If someone is not kind or not tall then someone is humble or not rich and vice versa.
Everyone who is both strong and wise is not humble or kind.
Everyone who is not strong or old is eithe... | Fred is not old. | neutral | (((~funny(john)<~>quiet(john)))=>((quiet(alice)|generous(alice))))&
(![X]:((humble(X)|tall(X))<=>~patient(X)))&
((?[X]:((~kind(X)|~tall(X))))<=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((strong(X)&wise(X))=>(~humble(X)|kind(X))))&
(![X]:((~strong(X)|old(X))<=>(wise(X)<~>~strong(X))))&
(![X]:((rich(X)&~quiet(X))<=>(~brave(... | ~old(fred) | [] | null | 0 |
Everyone who is not rich or not humble is tall and vice versa. Everyone who is kind or brave is both humble and not curious and vice versa. Everyone who is not tall or not funny is calm. If someone is either not curious or quiet then john is not tall or not patient and vice versa. Everyone who is rich is not kind and v... | Mary is happy. | neutral | (![X]:((~rich(X)|~humble(X))<=>tall(X)))&
(![X]:((kind(X)|brave(X))<=>(humble(X)&~curious(X))))&
(![X]:((~tall(X)|~funny(X))=>calm(X)))&
((?[X]:((~curious(X)<~>quiet(X))))<=>((~tall(john)|~patient(john))))&
(![X]:(rich(X)<=>~kind(X)))&
((?[X]:((~funny(X)&~quiet(X))))=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:(~funny(X)<=>... | happy(mary) | [] | null | 0 |
If john is both not quiet and rich then someone is rich.
If someone is both not wise and patient then someone is either not patient or old.
Everyone who is patient or not strong is strong and vice versa.
Everyone who is not humble is old or funny.
Everyone who is both not calm and old is either not happy or kind and vi... | Lucy is not brave. | entailment | (((~quiet(john)&rich(john)))=>(?[X]:(rich(X))))&
((?[X]:((~wise(X)&patient(X))))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:((patient(X)|~strong(X))<=>strong(X)))&
(![X]:(~humble(X)=>(old(X)|funny(X))))&
(![X]:((~calm(X)&old(X))<=>(~happy(X)<~>kind(X))))&
((?[X]:((~brave(X)<~>~wise(X))))<=>((wise(alice)<~>~curious(alice)... | ~brave(lucy) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 411303819736086034529987
% SZS output start Proof for 411303819736086034529987
3. ! [X0] : ((~strong(X0) | patient(X0)) <=> strong(X0)) [input p2]
8. ! [X0] : ((~happy(X0) | patient(X0)) <=> ~brave(X0)) [input p7]
25. brave(lucy) [input hypothesis]
45. ! [X0] : (((~strong(X0) | patient(X0... | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is either patient or generous is either quiet or not quiet and vice versa.
Everyone who is both brave and funny is either not funny or kind.
If someone is rich or calm then someone is both humble and happy and vice versa.
If someone is either n... | Alice is kind. | contradiction | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((patient(X)<~>generous(X))<=>(quiet(X)<~>~quiet(X))))&
(![X]:((brave(X)&funny(X))=>(~funny(X)<~>kind(X))))&
((?[X]:((rich(X)|calm(X))))<=>(?[X]:((humble(X)&happy(X)))))&
((?[X]:((~strong(X)<~>brave(X))))<=>((~happy(alice)&~curious(alice))))&
(((~brave(susan)... | kind(alice) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4734707059444925920481877
% SZS output start Proof for 4734707059444925920481877
1. ! [X0] : ((kind(X0) | curious(X0)) => (~brave(X0) & curious(X0))) [input p0]
9. ! [X0] : (~wise(X0) <=> (~curious(X0) | wise(X0))) [input p8]
22. kind(alice) [input hypothesis]
26. ! [X0] : ((~brave(X0) & ... | 0 |
If mary is both not kind and not brave then someone is both rich and not funny and vice versa.
Everyone who is kind or not tall is not creative or brave and vice versa.
If alice is creative then mary is rich.
If alice is either patient or kind then someone is both kind and quiet.
Everyone who is both strong and creativ... | John is not creative. | neutral | (((~kind(mary)&~brave(mary)))<=>(?[X]:((rich(X)&~funny(X)))))&
(![X]:((kind(X)|~tall(X))<=>(~creative(X)|brave(X))))&
((creative(alice))=>(rich(mary)))&
(((patient(alice)<~>kind(alice)))=>(?[X]:((kind(X)&quiet(X)))))&
(![X]:((strong(X)&creative(X))<=>curious(X)))&
((?[X]:(~humble(X)))=>(?[X]:((humble(X)&generous(X)))))... | ~creative(john) | [] | null | 0 |
Everyone who is old is quiet.
If susan is not kind then someone is both happy and not rich.
Everyone who is either funny or kind is creative or not strong and vice versa.
Everyone who is both tall and not kind is curious.
If john is either not brave or rich then someone is not rich or patient.
Everyone who is wise or n... | Susan is not rich. | entailment | (![X]:(old(X)=>quiet(X)))&
((~kind(susan))=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((funny(X)<~>kind(X))<=>(creative(X)|~strong(X))))&
(![X]:((tall(X)&~kind(X))=>curious(X)))&
(((~brave(john)<~>rich(john)))=>(?[X]:((~rich(X)|patient(X)))))&
(![X]:((wise(X)|~patient(X))=>(curious(X)&humble(X))))&
(![X]:((generous(X)|~quie... | ~rich(susan) | [
"p0",
"p2",
"p5",
"p6",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 470418536629186004515840
% SZS output start Proof for 470418536629186004515840
1. ! [X0] : (old(X0) => quiet(X0)) [input p0]
3. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (~strong(X0) | creative(X0))) [input p2]
6. ! [X0] : ((~patient(X0) | wise(X0)) => (humble(X0) & curious(X0))) [input p5]
... | 0 |
Everyone who is not creative or not generous is both curious and not calm and vice versa.
Everyone who is not happy or not curious is both patient and funny.
Everyone who is both not quiet and quiet is both not curious and brave.
If alice is both not wise and not funny then someone is kind and vice versa.
If susan is e... | Alice is funny. | contradiction | (![X]:((~creative(X)|~generous(X))<=>(curious(X)&~calm(X))))&
(![X]:((~happy(X)|~curious(X))=>(patient(X)&funny(X))))&
(![X]:((~quiet(X)&quiet(X))=>(~curious(X)&brave(X))))&
(((~wise(alice)&~funny(alice)))<=>(?[X]:(kind(X))))&
(((happy(susan)<~>creative(susan)))=>((humble(lucy)&~quiet(lucy))))&
((?[X]:(quiet(X)))=>((~c... | funny(alice) | [
"p3",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4254573284702427850405792
% SZS output start Proof for 4254573284702427850405792
4. (~funny(alice) & ~wise(alice)) <=> ? [X0] : kind(X0) [input p3]
20. kind(mary) [input p19]
24. funny(alice) [input hypothesis]
47. ((~funny(alice) & ~wise(alice)) | ! [X0] : ~kind(X0)) & (? [X0] : kind(X0)... | 0 |
If john is not curious then alice is not strong.
Everyone who is either not strong or not wise is humble or not happy.
Everyone who is not funny or not strong is rich.
Everyone who is either not kind or not wise is both calm and not funny.
If lucy is funny then someone is not tall or old.
If someone is either happy or ... | Susan is not wise. | entailment | ((~curious(john))=>(~strong(alice)))&
(![X]:((~strong(X)<~>~wise(X))=>(humble(X)|~happy(X))))&
(![X]:((~funny(X)|~strong(X))=>rich(X)))&
(![X]:((~kind(X)<~>~wise(X))=>(calm(X)&~funny(X))))&
((funny(lucy))=>(?[X]:((~tall(X)|old(X)))))&
((?[X]:((happy(X)<~>~humble(X))))<=>((curious(fred)|~strong(fred))))&
((?[X]:((~funny... | ~wise(susan) | [
"p2",
"p3",
"p8",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8713782912753229427827541
% SZS output start Proof for 8713782912753229427827541
3. ! [X0] : ((~strong(X0) | ~funny(X0)) => rich(X0)) [input p2]
4. ! [X0] : ((~kind(X0) <~> ~wise(X0)) => (~funny(X0) & calm(X0))) [input p3]
9. ! [X0] : ((calm(X0) | ~brave(X0)) <=> ~rich(X0)) [input p8]
15.... | 0 |
Everyone who is both not curious and not funny is not curious or generous and vice versa.
If someone is not wise then someone is either old or happy.
If mary is either not funny or not patient then fred is both not happy and wise.
If someone is old then alice is either not rich or not brave.
Everyone who is either kind... | Fred is not calm. | contradiction | (![X]:((~curious(X)&~funny(X))<=>(~curious(X)|generous(X))))&
((?[X]:(~wise(X)))=>(?[X]:((old(X)<~>happy(X)))))&
(((~funny(mary)<~>~patient(mary)))=>((~happy(fred)&wise(fred))))&
((?[X]:(old(X)))=>((~rich(alice)<~>~brave(alice))))&
(![X]:((kind(X)<~>brave(X))<=>generous(X)))&
(![X]:((funny(X)<~>brave(X))<=>(happy(X)<~>... | ~calm(fred) | [
"p0",
"p8",
"p11",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 102577401877165606428313
% SZS output start Proof for 102577401877165606428313
1. ! [X0] : ((~funny(X0) & ~curious(X0)) <=> (generous(X0) | ~curious(X0))) [input p0]
9. ! [X0] : ((calm(X0) <~> ~funny(X0)) => wise(X0)) [input p8]
12. ~wise(susan) <=> ? [X0] : ~generous(X0) [input p11]
22. ... | 0 |
If paul is not kind then mary is both not kind and creative and vice versa.
If someone is both kind and not wise then someone is not rich or not calm and vice versa.
If someone is not humble then someone is not quiet.
If fred is not creative or generous then susan is not strong or generous.
Everyone who is not quiet or... | Paul is not tall. | entailment | ((~kind(paul))<=>((~kind(mary)&creative(mary))))&
((?[X]:((kind(X)&~wise(X))))<=>(?[X]:((~rich(X)|~calm(X)))))&
((?[X]:(~humble(X)))=>(?[X]:(~quiet(X))))&
(((~creative(fred)|generous(fred)))=>((~strong(susan)|generous(susan))))&
(![X]:((~quiet(X)|~patient(X))=>(old(X)<~>funny(X))))&
(((wise(john)<~>strong(john)))=>(?[X... | ~tall(paul) | [
"p0",
"p9",
"p10",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5839633218603533349938055
% SZS output start Proof for 5839633218603533349938055
1. ~kind(paul) <=> (creative(mary) & ~kind(mary)) [input p0]
10. (~old(paul) & ~rich(paul)) <=> ? [X0] : (~funny(X0) | ~strong(X0)) [input p9]
11. ? [X0] : (kind(X0) & ~funny(X0)) <=> ? [X0] : strong(X0) [inp... | 0 |
If someone is kind or not creative then john is generous and vice versa.
Everyone who is both not tall and curious is kind and vice versa.
Everyone who is tall or not quiet is happy or not kind and vice versa.
Everyone who is either not kind or not curious is tall or humble.
If alice is both creative and curious then s... | Fred is happy. | neutral | ((?[X]:((kind(X)|~creative(X))))<=>(generous(john)))&
(![X]:((~tall(X)&curious(X))<=>kind(X)))&
(![X]:((tall(X)|~quiet(X))<=>(happy(X)|~kind(X))))&
(![X]:((~kind(X)<~>~curious(X))=>(tall(X)|humble(X))))&
(((creative(alice)&curious(alice)))<=>(?[X]:((~funny(X)|~creative(X)))))&
(![X]:(~humble(X)<=>(patient(X)&~wise(X)))... | happy(fred) | [] | null | 0 |
If lucy is both not rich and old then lucy is both not curious and not kind.
If someone is old or brave then fred is not patient and vice versa.
Everyone who is either brave or not generous is quiet or old.
Everyone who is not patient or humble is not tall and vice versa.
If someone is not happy then mary is not happy.... | Susan is not funny. | contradiction | (((~rich(lucy)&old(lucy)))=>((~curious(lucy)&~kind(lucy))))&
((?[X]:((old(X)|brave(X))))<=>(~patient(fred)))&
(![X]:((brave(X)<~>~generous(X))=>(quiet(X)|old(X))))&
(![X]:((~patient(X)|humble(X))<=>~tall(X)))&
((?[X]:(~happy(X)))=>(~happy(mary)))&
(![X]:((generous(X)|rich(X))=>(curious(X)<~>~funny(X))))&
(![X]:((~happy... | ~funny(susan) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 661674146632214587343343
% SZS output start Proof for 661674146632214587343343
2. ? [X0] : (brave(X0) | old(X0)) <=> ~patient(fred) [input p1]
3. ! [X0] : ((brave(X0) <~> ~generous(X0)) => (old(X0) | quiet(X0))) [input p2]
4. ! [X0] : ((humble(X0) | ~patient(X0)) <=> ~tall(X0)) [input p3]... | 0 |
Everyone who is not generous is wise or tall and vice versa.
If mary is generous then mary is either not calm or not old.
Everyone who is either happy or not curious is not happy.
Everyone who is both happy and curious is not patient.
Everyone who is creative or humble is either not old or tall and vice versa.
Everyone... | Susan is calm. | contradiction | (![X]:(~generous(X)<=>(wise(X)|tall(X))))&
((generous(mary))=>((~calm(mary)<~>~old(mary))))&
(![X]:((happy(X)<~>~curious(X))=>~happy(X)))&
(![X]:((happy(X)&curious(X))=>~patient(X)))&
(![X]:((creative(X)|humble(X))<=>(~old(X)<~>tall(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~quiet(X)<~>~humble(X))))&
((?[X]:((happy(X)&~t... | calm(susan) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5217776586534748911272748
% SZS output start Proof for 5217776586534748911272748
8. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (strong(X0) & ~strong(X0))) [input p7]
9. ! [X0] : ((~happy(X0) | ~creative(X0)) => (happy(X0) & ~calm(X0))) [input p8]
21. calm(susan) [input hypothesis]
31. ! [... | 0 |
If mary is either not generous or not creative then someone is either old or not happy.
Everyone who is either kind or patient is either strong or creative and vice versa.
Everyone who is not patient or not happy is not generous.
Everyone who is not humble is not wise or creative.
If fred is either not patient or not c... | Paul is not brave. | neutral | (((~generous(mary)<~>~creative(mary)))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:((kind(X)<~>patient(X))<=>(strong(X)<~>creative(X))))&
(![X]:((~patient(X)|~happy(X))=>~generous(X)))&
(![X]:(~humble(X)=>(~wise(X)|creative(X))))&
(((~patient(fred)<~>~calm(fred)))=>(?[X]:((old(X)|~humble(X)))))&
(![X]:(funny(X)=>~tall(X)))&... | ~brave(paul) | [] | null | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is brave.
If paul is not funny or not creative then fred is not patient.
Everyone who is curious or funny 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 i... | Alice is not patient. | entailment | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>brave(X)))&
(((~funny(paul)|~creative(paul)))=>(~patient(fred)))&
(![X]:((curious(X)|funny(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(... | ~patient(alice) | [
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 855109913968323884920403
% SZS output start Proof for 855109913968323884920403
4. ! [X0] : ((funny(X0) | curious(X0)) => (~happy(X0) & ~funny(X0))) [input p3]
9. ! [X0] : ((~humble(X0) | patient(X0)) => (funny(X0) & kind(X0))) [input p8]
24. patient(alice) [input hypothesis]
30. ! [X0] : ... | 0 |
Everyone who is either strong or not strong is not old.
Everyone who is either not kind or old is either humble or not funny.
Everyone who is both not quiet and curious is either generous or not funny and vice versa.
If someone is wise then someone is funny and vice versa.
If someone is calm then someone is either not ... | Mary is creative. | entailment | (![X]:((strong(X)<~>~strong(X))=>~old(X)))&
(![X]:((~kind(X)<~>old(X))=>(humble(X)<~>~funny(X))))&
(![X]:((~quiet(X)&curious(X))<=>(generous(X)<~>~funny(X))))&
((?[X]:(wise(X)))<=>(?[X]:(funny(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~creative(X)<~>~curious(X)))))&
(![X]:(~quiet(X)=>~generous(X)))&
((old(mary))=>(?[X]:((~hum... | creative(mary) | [
"p0",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7795303387097844473192484
% SZS output start Proof for 7795303387097844473192484
1. ! [X0] : ((strong(X0) <~> ~strong(X0)) => ~old(X0)) [input p0]
10. ! [X0] : ((~humble(X0) | humble(X0)) => (tall(X0) & ~patient(X0))) [input p9]
13. ! [X0] : ((~patient(X0) | ~strong(X0)) => (old(X0) <~> c... | 0 |
Everyone who is both not strong and not curious is either creative or rich.
Everyone who is both not generous and not strong is happy.
Everyone who is not generous is not curious.
If someone is not creative or happy then john is not funny and vice versa.
Everyone who is patient or wise is either patient or tall and vic... | Paul is curious. | entailment | (![X]:((~strong(X)&~curious(X))=>(creative(X)<~>rich(X))))&
(![X]:((~generous(X)&~strong(X))=>happy(X)))&
(![X]:(~generous(X)=>~curious(X)))&
((?[X]:((~creative(X)|happy(X))))<=>(~funny(john)))&
(![X]:((patient(X)|wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((happy(X)<~>tall(X))<=>old(X)))&
(![X]:((~kind(X)|wise(X))<=>c... | curious(paul) | [
"p0",
"p4",
"p6",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 860234793952193614144139
% SZS output start Proof for 860234793952193614144139
1. ! [X0] : ((~curious(X0) & ~strong(X0)) => (creative(X0) <~> rich(X0))) [input p0]
5. ! [X0] : ((wise(X0) | patient(X0)) <=> (patient(X0) <~> tall(X0))) [input p4]
7. ! [X0] : ((wise(X0) | ~kind(X0)) <=> crea... | 0 |
Everyone who is either not strong or not wise is happy or quiet. If someone is both happy and kind then someone is not old. Everyone who is not calm or tall is either patient or not wise. Everyone who is not strong or not kind is either not patient or not kind. Everyone who is not tall or old is not wise or rich and vi... | Paul is calm. | entailment | (![X]:((~strong(X)<~>~wise(X))=>(happy(X)|quiet(X))))&
((?[X]:((happy(X)&kind(X))))=>(?[X]:(~old(X))))&
(![X]:((~calm(X)|tall(X))=>(patient(X)<~>~wise(X))))&
(![X]:((~strong(X)|~kind(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~tall(X)|old(X))<=>(~wise(X)|rich(X))))&
(![X]:((curious(X)|~patient(X))<=>patient(X)))&
(![X]:(... | calm(paul) | [
"p2",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4548503140986180338898281
% SZS output start Proof for 4548503140986180338898281
3. ! [X0] : ((tall(X0) | ~calm(X0)) => (patient(X0) <~> ~wise(X0))) [input p2]
6. ! [X0] : ((~patient(X0) | curious(X0)) <=> patient(X0)) [input p5]
7. ! [X0] : ((tall(X0) <~> wise(X0)) <=> ~patient(X0)) [inp... | 0 |
Everyone who is not tall or not calm is rich.
Everyone who is calm is brave and vice versa.
If someone is both not rich and not brave then john is not calm or quiet.
If paul is not generous then paul is not calm and vice versa.
If john is curious then someone is rich.
If someone is strong or brave then mary is either n... | Paul is not happy. | entailment | (![X]:((~tall(X)|~calm(X))=>rich(X)))&
(![X]:(calm(X)<=>brave(X)))&
((?[X]:((~rich(X)&~brave(X))))=>((~calm(john)|quiet(john))))&
((~generous(paul))<=>(~calm(paul)))&
((curious(john))=>(?[X]:(rich(X))))&
((?[X]:((strong(X)|brave(X))))<=>((~strong(mary)<~>~curious(mary))))&
((quiet(paul))=>(?[X]:((~strong(X)<~>~rich(X))... | ~happy(paul) | [
"p1",
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8456531112978016355296455
% SZS output start Proof for 8456531112978016355296455
2. ! [X0] : (calm(X0) <=> brave(X0)) [input p1]
4. ~generous(paul) <=> ~calm(paul) [input p3]
8. ? [X0] : (curious(X0) <~> ~old(X0)) <=> (brave(paul) <~> generous(paul)) [input p7]
11. ! [X0] : ((~curious(X0)... | 0 |
If john is generous then someone is not old and vice versa.
If someone is either rich or wise then someone is not funny.
Everyone who is funny or curious is both tall and not strong and vice versa.
If someone is either not tall or not curious then someone is quiet and vice versa.
If someone is old or not funny then sus... | Susan is wise. | neutral | ((generous(john))<=>(?[X]:(~old(X))))&
((?[X]:((rich(X)<~>wise(X))))=>(?[X]:(~funny(X))))&
(![X]:((funny(X)|curious(X))<=>(tall(X)&~strong(X))))&
((?[X]:((~tall(X)<~>~curious(X))))<=>(?[X]:(quiet(X))))&
((?[X]:((old(X)|~funny(X))))<=>(~happy(susan)))&
((rich(alice))=>((~curious(mary)<~>creative(mary))))&
((?[X]:(~creat... | wise(susan) | [] | null | 0 |
If someone is both brave and happy then susan is kind or not humble.
Everyone who is both creative and not generous is generous.
Everyone who is both tall and wise is both not creative and generous.
Everyone who is funny or not generous is both calm and creative.
If someone is both tall and not calm then someone is wis... | John is not curious. | neutral | ((?[X]:((brave(X)&happy(X))))=>((kind(susan)|~humble(susan))))&
(![X]:((creative(X)&~generous(X))=>generous(X)))&
(![X]:((tall(X)&wise(X))=>(~creative(X)&generous(X))))&
(![X]:((funny(X)|~generous(X))=>(calm(X)&creative(X))))&
((?[X]:((tall(X)&~calm(X))))=>(?[X]:(wise(X))))&
(((~kind(john)&~old(john)))=>((~rich(paul)<~... | ~curious(john) | [] | null | 0 |
If paul is both not generous and funny then fred is either not old or not wise and vice versa. Everyone who is not old or generous is either not kind or not generous and vice versa. Everyone who is calm is both kind and patient. Everyone who is not patient or not strong is both humble and not funny and vice versa. Ever... | Paul is rich. | neutral | (((~generous(paul)&funny(paul)))<=>((~old(fred)<~>~wise(fred))))&
(![X]:((~old(X)|generous(X))<=>(~kind(X)<~>~generous(X))))&
(![X]:(calm(X)=>(kind(X)&patient(X))))&
(![X]:((~patient(X)|~strong(X))<=>(humble(X)&~funny(X))))&
(![X]:((~humble(X)<~>~funny(X))=>(wise(X)<~>~kind(X))))&
(![X]:((creative(X)|quiet(X))<=>(~old(... | rich(paul) | [] | null | 0 |
If someone is kind then fred is either not old or funny.
If someone is both humble and generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and not patient the... | Mary is not rich. | entailment | ((?[X]:(kind(X)))=>((~old(fred)<~>funny(fred))))&
((?[X]:((humble(X)&generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:(... | ~rich(mary) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3294435925101120524693945
% SZS output start Proof for 3294435925101120524693945
2. ? [X0] : (generous(X0) & humble(X0)) <=> (~quiet(mary) & brave(mary)) [input p1]
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~funny(X0) & creative(X0))) [i... | 0 |
Everyone who is generous or not happy is both calm and not creative and vice versa. Everyone who is either quiet or not calm is both funny and creative and vice versa. If fred is both funny and humble then fred is creative. Everyone who is old is either not happy or not strong and vice versa. If someone is either gener... | Paul is humble. | neutral | (![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creative(susan)&~happy(susan))))&
(((~brave(fred)|wise(fred)))<=>((humb... | humble(paul) | [] | null | 0 |
Everyone who is either not calm or not brave is not kind or not happy and vice versa.
If someone is either patient or not tall then someone is not happy or not old and vice versa.
Everyone who is wise is tall or not quiet and vice versa.
Everyone who is both not rich and calm is not strong or old and vice versa.
Everyo... | Paul is old. | contradiction | (![X]:((~calm(X)<~>~brave(X))<=>(~kind(X)|~happy(X))))&
((?[X]:((patient(X)<~>~tall(X))))<=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:(wise(X)<=>(tall(X)|~quiet(X))))&
(![X]:((~rich(X)&calm(X))<=>(~strong(X)|old(X))))&
(![X]:((brave(X)&wise(X))<=>(~kind(X)|funny(X))))&
((~calm(alice))=>((~wise(fred)&curious(fred))))&
(![X]:... | old(paul) | [
"p3",
"p4",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1429777628615248470981922
% SZS output start Proof for 1429777628615248470981922
4. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (old(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) & brave(X0)) <=> (funny(X0) | ~kind(X0))) [input p4]
16. ! [X0] : ((generous(X0) <~> rich(X0)) <=> (brave(X0)... | 0 |
If fred is both not creative and calm then someone is creative. If someone is either generous or kind then someone is either funny or tall and vice versa. If someone is humble then someone is either not creative or not rich. Everyone who is either kind or wise is either not quiet or not curious. If john is creative or ... | Mary is rich. | contradiction | (((~creative(fred)&calm(fred)))=>(?[X]:(creative(X))))&
((?[X]:((generous(X)<~>kind(X))))<=>(?[X]:((funny(X)<~>tall(X)))))&
((?[X]:(humble(X)))=>(?[X]:((~creative(X)<~>~rich(X)))))&
(![X]:((kind(X)<~>wise(X))=>(~quiet(X)<~>~curious(X))))&
(((creative(john)|~generous(john)))=>(?[X]:((patient(X)&creative(X)))))&
(![X]:((... | rich(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8633068222423179453208627
% SZS output start Proof for 8633068222423179453208627
8. ! [X0] : (rich(X0) => (~brave(X0) & ~rich(X0))) [input p7]
25. rich(mary) [input hypothesis]
29. ! [X0] : (rich(X0) => ~rich(X0)) [pure predicate removal 8]
40. ! [X0] : (~rich(X0) | ~rich(X0)) [ennf trans... | 0 |
Everyone who is not kind is not humble.
Everyone who is either not strong or not curious is not patient and vice versa.
If someone is either wise or not strong then someone is calm.
Everyone who is both kind and not wise is either not kind or not calm and vice versa.
Everyone who is either old or not tall is funny or b... | Susan is not calm. | contradiction | (![X]:(~kind(X)=>~humble(X)))&
(![X]:((~strong(X)<~>~curious(X))<=>~patient(X)))&
((?[X]:((wise(X)<~>~strong(X))))=>(?[X]:(calm(X))))&
(![X]:((kind(X)&~wise(X))<=>(~kind(X)<~>~calm(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|brave(X))))&
(![X]:((~funny(X)&~curious(X))=>strong(X)))&
(![X]:((patient(X)&~curious(X))<=>(... | ~calm(susan) | [
"p4",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5771351163073558798739146
% SZS output start Proof for 5771351163073558798739146
5. ! [X0] : ((old(X0) <~> ~tall(X0)) <=> (brave(X0) | funny(X0))) [input p4]
8. ! [X0] : ((brave(X0) | ~strong(X0)) <=> strong(X0)) [input p7]
10. ! [X0] : ((strong(X0) | ~quiet(X0)) <=> (~creative(X0) & ~hum... | 0 |
Everyone who is either happy or tall is both not strong and funny. If fred is both rich and not creative then someone is not quiet or curious and vice versa. Everyone who is not strong is either not old or strong. Everyone who is not patient or creative is either not generous or not creative and vice versa. Everyone wh... | Alice is not funny. | neutral | (![X]:((happy(X)<~>tall(X))=>(~strong(X)&funny(X))))&
(((rich(fred)&~creative(fred)))<=>(?[X]:((~quiet(X)|curious(X)))))&
(![X]:(~strong(X)=>(~old(X)<~>strong(X))))&
(![X]:((~patient(X)|creative(X))<=>(~generous(X)<~>~creative(X))))&
(![X]:(wise(X)<=>(brave(X)|~wise(X))))&
((calm(susan))<=>((~humble(fred)|~calm(fred)))... | ~funny(alice) | [] | null | 0 |
If someone is both patient and not curious then mary is either rich or calm. Everyone who is not funny or not creative is both not curious and strong and vice versa. Everyone who is creative or curious is kind and vice versa. If lucy is tall or curious then john is not old. Everyone who is both not rich and not strong ... | Mary is quiet. | contradiction | ((?[X]:((patient(X)&~curious(X))))=>((rich(mary)<~>calm(mary))))&
(![X]:((~funny(X)|~creative(X))<=>(~curious(X)&strong(X))))&
(![X]:((creative(X)|curious(X))<=>kind(X)))&
(((tall(lucy)|curious(lucy)))=>(~old(john)))&
(![X]:((~rich(X)&~strong(X))<=>(patient(X)<~>calm(X))))&
((strong(susan))=>(~patient(john)))&
((?[X]:(... | quiet(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 667560423401668595785111
% SZS output start Proof for 667560423401668595785111
13. ! [X0] : ((quiet(X0) | wise(X0)) => (brave(X0) & ~quiet(X0))) [input p12]
25. quiet(mary) [input hypothesis]
35. ! [X0] : ((brave(X0) & ~quiet(X0)) | (~quiet(X0) & ~wise(X0))) [ennf transformation 13]
127. ... | 0 |
If susan is both not generous and creative then john is not funny or not wise and vice versa.
If lucy is brave then someone is not funny or not old and vice versa.
Everyone who is either not funny or calm is brave.
If someone is both rich and not old then someone is either not happy or not humble.
If someone is both no... | Paul is calm. | entailment | (((~generous(susan)&creative(susan)))<=>((~funny(john)|~wise(john))))&
((brave(lucy))<=>(?[X]:((~funny(X)|~old(X)))))&
(![X]:((~funny(X)<~>calm(X))=>brave(X)))&
((?[X]:((rich(X)&~old(X))))=>(?[X]:((~happy(X)<~>~humble(X)))))&
((?[X]:((~old(X)&~humble(X))))=>(?[X]:((strong(X)&curious(X)))))&
((~rich(lucy))<=>(generous(f... | calm(paul) | [
"p2",
"p9",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4763474203908893145636355
% SZS output start Proof for 4763474203908893145636355
3. ! [X0] : ((~funny(X0) <~> calm(X0)) => brave(X0)) [input p2]
10. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~kind(X0) <~> funny(X0))) [input p9]
11. ! [X0] : ((kind(X0) | ~kind(X0)) => (~brave(X0) | humble... | 0 |
If fred is not kind or humble then lucy is old and vice versa. If john is not brave then lucy is either rich or happy. If someone is both not generous and curious then fred is both not wise and not funny and vice versa. If john is generous then susan is calm or quiet and vice versa. Everyone who is happy is either not ... | Mary is kind. | entailment | (((~kind(fred)|humble(fred)))<=>(old(lucy)))&
((~brave(john))=>((rich(lucy)<~>happy(lucy))))&
((?[X]:((~generous(X)&curious(X))))<=>((~wise(fred)&~funny(fred))))&
((generous(john))<=>((calm(susan)|quiet(susan))))&
(![X]:(happy(X)=>(~brave(X)<~>quiet(X))))&
(![X]:((~calm(X)<~>~funny(X))<=>(brave(X)&humble(X))))&
(![X]:(... | kind(mary) | [
"p5",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6209248805108800084435097
% SZS output start Proof for 6209248805108800084435097
6. ! [X0] : ((~calm(X0) <~> ~funny(X0)) <=> (humble(X0) & brave(X0))) [input p5]
13. ! [X0] : (~calm(X0) => (~brave(X0) | kind(X0))) [input p12]
15. ! [X0] : (~kind(X0) <=> (quiet(X0) & ~calm(X0))) [input p14... | 0 |
Everyone who is brave is both brave and not calm and vice versa.
Everyone who is either not funny or not humble is both humble and not patient.
If fred is either not old or old then susan is either quiet or calm.
Everyone who is tall is funny.
If john is not kind then john is either tall or not quiet and vice versa.
Ev... | John is happy. | neutral | (![X]:(brave(X)<=>(brave(X)&~calm(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(humble(X)&~patient(X))))&
(((~old(fred)<~>old(fred)))=>((quiet(susan)<~>calm(susan))))&
(![X]:(tall(X)=>funny(X)))&
((~kind(john))<=>((tall(john)<~>~quiet(john))))&
(![X]:((patient(X)|~quiet(X))=>(~tall(X)|funny(X))))&
((?[X]:(~strong(X)))=>(?[X... | happy(john) | [] | null | 0 |
If fred is both happy and not creative then someone is both old and not generous and vice versa.
If someone is either not old or creative then someone is either not funny or not wise.
Everyone who is not funny or strong is either not humble or not generous.
If someone is both tall and not creative then lucy is both kin... | Lucy is generous. | entailment | (((happy(fred)&~creative(fred)))<=>(?[X]:((old(X)&~generous(X)))))&
((?[X]:((~old(X)<~>creative(X))))=>(?[X]:((~funny(X)<~>~wise(X)))))&
(![X]:((~funny(X)|strong(X))=>(~humble(X)<~>~generous(X))))&
((?[X]:((tall(X)&~creative(X))))=>((kind(lucy)&patient(lucy))))&
(![X]:((~funny(X)|patient(X))=>(~calm(X)|~rich(X))))&
(![... | generous(lucy) | [
"p6",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 907209146332143306846811
% SZS output start Proof for 907209146332143306846811
7. ! [X0] : (~quiet(X0) => (calm(X0) & ~quiet(X0))) [input p6]
12. ! [X0] : ((~calm(X0) | ~generous(X0)) <=> (~calm(X0) & tall(X0))) [input p11]
18. ~quiet(lucy) [input p17]
23. ~generous(lucy) [input hypothesi... | 0 |
If someone is both kind and generous then someone is both not wise and tall. Everyone who is not funny or wise is both not generous and generous and vice versa. If someone is calm then someone is curious. If someone is both not brave and funny then mary is rich and vice versa. Everyone who is funny or not funny is not ... | John is not rich. | neutral | ((?[X]:((kind(X)&generous(X))))=>(?[X]:((~wise(X)&tall(X)))))&
(![X]:((~funny(X)|wise(X))<=>(~generous(X)&generous(X))))&
((?[X]:(calm(X)))=>(?[X]:(curious(X))))&
((?[X]:((~brave(X)&funny(X))))<=>(rich(mary)))&
(![X]:((funny(X)|~funny(X))=>(~wise(X)|patient(X))))&
(((~tall(susan)&~patient(susan)))=>((quiet(john)|~rich(... | ~rich(john) | [] | null | 0 |
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