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 not curious is both not funny and not generous. Everyone who is not happy is not curious and vice versa. If susan is either not funny or humble then fred is generous or wise and vice versa. If someone is not tall then someone is not creative or wise. If susan is quiet or not brave then someone is not ki... | Susan is happy. | entailment | (![X]:(~curious(X)=>(~funny(X)&~generous(X))))&
(![X]:(~happy(X)<=>~curious(X)))&
(((~funny(susan)<~>humble(susan)))<=>((generous(fred)|wise(fred))))&
((?[X]:(~tall(X)))=>(?[X]:((~creative(X)|wise(X)))))&
(((quiet(susan)|~brave(susan)))<=>(?[X]:(~kind(X))))&
(![X]:((~curious(X)&kind(X))<=>(~wise(X)<~>creative(X))))&
(!... | happy(susan) | [
"p0",
"p1",
"p7",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1259881205583668730794229
% SZS output start Proof for 1259881205583668730794229
1. ! [X0] : (~curious(X0) => (~generous(X0) & ~funny(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> ~curious(X0)) [input p1]
8. ! [X0] : ((strong(X0) | creative(X0)) <=> ~tall(X0)) [input p7]
12. ! [X0] : ((~ta... | 0 |
If someone is not generous or not funny then someone is quiet or happy and vice versa.
Everyone who is not happy or funny is calm or old.
Everyone who is not humble is old or not strong and vice versa.
If john is creative then someone is both not funny and calm and vice versa.
If someone is funny then someone is both c... | John is humble. | contradiction | ((?[X]:((~generous(X)|~funny(X))))<=>(?[X]:((quiet(X)|happy(X)))))&
(![X]:((~happy(X)|funny(X))=>(calm(X)|old(X))))&
(![X]:(~humble(X)<=>(old(X)|~strong(X))))&
((creative(john))<=>(?[X]:((~funny(X)&calm(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((creative(X)&~quiet(X)))))&
(![X]:(~rich(X)=>(rich(X)|~rich(X))))&
(![X]:((~brave... | humble(john) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3568577941345426248456702
% SZS output start Proof for 3568577941345426248456702
3. ! [X0] : (~humble(X0) <=> (~strong(X0) | old(X0))) [input p2]
14. ! [X0] : ((~strong(X0) & humble(X0)) <=> humble(X0)) [input p13]
23. humble(john) [input hypothesis]
43. ! [X0] : ((~humble(X0) | (strong(X... | 0 |
If someone is either not calm or tall then paul is not patient and vice versa.
If mary is either not kind or not curious then fred is not rich or not creative.
Everyone who is old or not strong is both wise and generous.
If someone is both not quiet and not funny then someone is creative or not rich and vice versa.
If ... | Paul is quiet. | contradiction | ((?[X]:((~calm(X)<~>tall(X))))<=>(~patient(paul)))&
(((~kind(mary)<~>~curious(mary)))=>((~rich(fred)|~creative(fred))))&
(![X]:((old(X)|~strong(X))=>(wise(X)&generous(X))))&
((?[X]:((~quiet(X)&~funny(X))))<=>(?[X]:((creative(X)|~rich(X)))))&
(((~creative(john)|~rich(john)))=>((~quiet(alice)<~>~curious(alice))))&
((?[X]... | quiet(paul) | [
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8564550910833352495557210
% SZS output start Proof for 8564550910833352495557210
10. ! [X0] : (~creative(X0) <=> (rich(X0) & humble(X0))) [input p9]
16. (~humble(susan) & ~creative(susan)) <=> ? [X0] : (~quiet(X0) <~> wise(X0)) [input p15]
21. wise(paul) [input p20]
24. quiet(paul) [input... | 0 |
Everyone who is tall or happy is either rich or happy and vice versa.
Everyone who is funny is wise and vice versa.
Everyone who is not funny or not old is kind.
Everyone who is both humble and not tall is both calm and not tall and vice versa.
If someone is both not patient and not humble then someone is either patien... | Alice is not strong. | neutral | (![X]:((tall(X)|happy(X))<=>(rich(X)<~>happy(X))))&
(![X]:(funny(X)<=>wise(X)))&
(![X]:((~funny(X)|~old(X))=>kind(X)))&
(![X]:((humble(X)&~tall(X))<=>(calm(X)&~tall(X))))&
((?[X]:((~patient(X)&~humble(X))))=>(?[X]:((patient(X)<~>~happy(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)|~patient(X))=>... | ~strong(alice) | [] | null | 0 |
If john is brave then someone is quiet. If alice is not generous then susan is both not tall and not strong and vice versa. If alice is old then john is curious and vice versa. Everyone who is old is not creative and vice versa. Everyone who is tall is both humble and strong. If someone is quiet or generous then someon... | Susan is not old. | entailment | ((brave(john))=>(?[X]:(quiet(X))))&
((~generous(alice))<=>((~tall(susan)&~strong(susan))))&
((old(alice))<=>(curious(john)))&
(![X]:(old(X)<=>~creative(X)))&
(![X]:(tall(X)=>(humble(X)&strong(X))))&
((?[X]:((quiet(X)|generous(X))))<=>(?[X]:((wise(X)<~>kind(X)))))&
(![X]:(~happy(X)=>creative(X)))&
(![X]:((creative(X)|ha... | ~old(susan) | [
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4771459031393808951306295
% SZS output start Proof for 4771459031393808951306295
4. ! [X0] : (old(X0) <=> ~creative(X0)) [input p3]
7. ! [X0] : (~happy(X0) => creative(X0)) [input p6]
8. ! [X0] : ((happy(X0) | creative(X0)) => (~creative(X0) <~> happy(X0))) [input p7]
23. old(susan) [inpu... | 0 |
If john is not humble or strong then lucy is either rich or creative and vice versa.
If alice is both not brave and not generous then someone is tall or not wise.
Everyone who is not brave is either quiet or not funny.
Everyone who is calm is either not calm or quiet and vice versa.
Everyone who is either not happy or ... | Paul is quiet. | entailment | (((~humble(john)|strong(john)))<=>((rich(lucy)<~>creative(lucy))))&
(((~brave(alice)&~generous(alice)))=>(?[X]:((tall(X)|~wise(X)))))&
(![X]:(~brave(X)=>(quiet(X)<~>~funny(X))))&
(![X]:(calm(X)<=>(~calm(X)<~>quiet(X))))&
(![X]:((~happy(X)<~>funny(X))=>(~wise(X)&old(X))))&
((?[X]:((~strong(X)&brave(X))))<=>(?[X]:((~pati... | quiet(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8567229931934146291955178
% SZS output start Proof for 8567229931934146291955178
4. ! [X0] : (calm(X0) <=> (~calm(X0) <~> quiet(X0))) [input p3]
24. ~quiet(paul) [input hypothesis]
37. ! [X0] : ((calm(X0) | ((~calm(X0) | ~quiet(X0)) & (quiet(X0) | calm(X0)))) & (((~quiet(X0) | calm(X0)) &... | 0 |
Everyone who is both not calm and patient is either not old or not patient.
Everyone who is both not funny and not creative is either funny or strong and vice versa.
Everyone who is either not brave or not tall is both wise and not generous.
Everyone who is both quiet and funny is either not kind or not humble and vice... | Lucy is strong. | contradiction | (![X]:((~calm(X)&patient(X))=>(~old(X)<~>~patient(X))))&
(![X]:((~funny(X)&~creative(X))<=>(funny(X)<~>strong(X))))&
(![X]:((~brave(X)<~>~tall(X))=>(wise(X)&~generous(X))))&
(![X]:((quiet(X)&funny(X))<=>(~kind(X)<~>~humble(X))))&
((?[X]:((~old(X)|happy(X))))<=>((old(fred)&~tall(fred))))&
(![X]:((~brave(X)<~>creative(X)... | strong(lucy) | [
"p3",
"p7",
"p9",
"p11",
"p14",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6173821229706948194905892
% SZS output start Proof for 6173821229706948194905892
4. ! [X0] : ((funny(X0) & quiet(X0)) <=> (~kind(X0) <~> ~humble(X0))) [input p3]
8. (patient(lucy) <~> ~funny(lucy)) <=> ? [X0] : rich(X0) [input p7]
10. ! [X0] : (kind(X0) <=> (quiet(X0) <~> calm(X0))) [inpu... | 0 |
If alice is either rich or not calm then someone is both quiet and not patient and vice versa. Everyone who is either happy or not strong is both not brave and not happy. If someone is rich then susan is happy and vice versa. If someone is patient or not curious then someone is creative and vice versa. Everyone who is ... | Susan is not kind. | entailment | (((rich(alice)<~>~calm(alice)))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((happy(X)<~>~strong(X))=>(~brave(X)&~happy(X))))&
((?[X]:(rich(X)))<=>(happy(susan)))&
((?[X]:((patient(X)|~curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|~humble(X))=>(~creative(X)|rich(X))))&
(![X]:((~happy(X)|patient(X))=>(~kind(X)&f... | ~kind(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3870626548826768109310989
% SZS output start Proof for 3870626548826768109310989
8. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (~generous(X0) <~> generous(X0))) [input p7]
24. kind(susan) [input hypothesis]
55. ! [X0] : (((~kind(X0) & ~generous(X0)) | ((~generous(X0) | ~generous(X0)) & (ge... | 0 |
Everyone who is humble or patient is both not creative and not brave and vice versa.
Everyone who is not old or not kind is either not curious or creative.
If someone is not calm then someone is not happy or not funny and vice versa.
Everyone who is not wise is either wise or not calm and vice versa.
If someone is not ... | Alice is quiet. | entailment | (![X]:((humble(X)|patient(X))<=>(~creative(X)&~brave(X))))&
(![X]:((~old(X)|~kind(X))=>(~curious(X)<~>creative(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~happy(X)|~funny(X)))))&
(![X]:(~wise(X)<=>(wise(X)<~>~calm(X))))&
((?[X]:(~calm(X)))=>(?[X]:(quiet(X))))&
(![X]:((~curious(X)&quiet(X))<=>~quiet(X)))&
(![X]:((quiet(X)<~>ta... | quiet(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3599618645448771561102598
% SZS output start Proof for 3599618645448771561102598
6. ! [X0] : ((quiet(X0) & ~curious(X0)) <=> ~quiet(X0)) [input p5]
24. ~quiet(alice) [input hypothesis]
54. ! [X0] : (((quiet(X0) & ~curious(X0)) | quiet(X0)) & (~quiet(X0) | (~quiet(X0) | curious(X0)))) [nnf... | 0 |
If someone is tall or quiet then someone is either generous or happy and vice versa. Everyone who is not quiet or rich is not creative and vice versa. If john is quiet then paul is either rich or not funny and vice versa. Everyone who is either not happy or not quiet is both creative and not generous. Everyone who is b... | Lucy is generous. | entailment | ((?[X]:((tall(X)|quiet(X))))<=>(?[X]:((generous(X)<~>happy(X)))))&
(![X]:((~quiet(X)|rich(X))<=>~creative(X)))&
((quiet(john))<=>((rich(paul)<~>~funny(paul))))&
(![X]:((~happy(X)<~>~quiet(X))=>(creative(X)&~generous(X))))&
(![X]:((creative(X)&~curious(X))=>(~tall(X)&~old(X))))&
(![X]:(~generous(X)<=>(~happy(X)&~funny(X... | generous(lucy) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5437842588067937899695334
% SZS output start Proof for 5437842588067937899695334
6. ! [X0] : (~generous(X0) <=> (~funny(X0) & ~happy(X0))) [input p5]
13. ! [X0] : ((~funny(X0) | rich(X0)) <=> (~happy(X0) & funny(X0))) [input p12]
23. ~generous(lucy) [input hypothesis]
45. ! [X0] : ((~gene... | 0 |
Everyone who is both creative and calm is creative. Everyone who is wise is humble and vice versa. If someone is both not strong and old then someone is either not rich or rich. If susan is brave or not patient then someone is either not old or curious. If someone is either not old or not wise then someone is wise. Eve... | Alice is funny. | neutral | (![X]:((creative(X)&calm(X))=>creative(X)))&
(![X]:(wise(X)<=>humble(X)))&
((?[X]:((~strong(X)&old(X))))=>(?[X]:((~rich(X)<~>rich(X)))))&
(((brave(susan)|~patient(susan)))=>(?[X]:((~old(X)<~>curious(X)))))&
((?[X]:((~old(X)<~>~wise(X))))=>(?[X]:(wise(X))))&
(![X]:((wise(X)&calm(X))=>(~kind(X)|happy(X))))&
(![X]:((~curi... | funny(alice) | [] | null | 0 |
If someone is not humble then paul is either funny or creative.
Everyone who is either not wise or not calm is either happy or kind and vice versa.
Everyone who is old or not kind is not strong or not old.
Everyone who is both curious and funny is generous and vice versa.
If mary is curious then fred is both kind and n... | Lucy is not wise. | neutral | ((?[X]:(~humble(X)))=>((funny(paul)<~>creative(paul))))&
(![X]:((~wise(X)<~>~calm(X))<=>(happy(X)<~>kind(X))))&
(![X]:((old(X)|~kind(X))=>(~strong(X)|~old(X))))&
(![X]:((curious(X)&funny(X))<=>generous(X)))&
((curious(mary))<=>((kind(fred)&~curious(fred))))&
(![X]:((old(X)|~calm(X))=>(~curious(X)<~>funny(X))))&
(![X]:(... | ~wise(lucy) | [] | null | 0 |
Everyone who is either wise or not humble is kind and vice versa. Everyone who is either not strong or not generous is both humble and kind. Everyone who is patient or rich is not generous. Everyone who is either not calm or funny is tall or not rich. If someone is not happy or not patient then someone is old and vice ... | Alice is calm. | entailment | (![X]:((wise(X)<~>~humble(X))<=>kind(X)))&
(![X]:((~strong(X)<~>~generous(X))=>(humble(X)&kind(X))))&
(![X]:((patient(X)|rich(X))=>~generous(X)))&
(![X]:((~calm(X)<~>funny(X))=>(tall(X)|~rich(X))))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:(old(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((~creative(X)<~>~strong(X)))))... | calm(alice) | [
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5510450167443740837936682
% SZS output start Proof for 5510450167443740837936682
7. ! [X0] : (patient(X0) => ~quiet(X0)) [input p6]
8. ? [X0] : (~curious(X0) | ~humble(X0)) => (~creative(alice) & rich(alice)) [input p7]
13. (~rich(alice) | patient(alice)) <=> ? [X0] : (~calm(X0) | ~curiou... | 0 |
If someone is curious or not curious then susan is funny or tall and vice versa. Everyone who is strong or not quiet is not quiet. Everyone who is either not old or not quiet is both not rich and wise. Everyone who is strong or not happy is both rich and patient. Everyone who is not kind or not tall is not happy and vi... | Lucy is tall. | entailment | ((?[X]:((curious(X)|~curious(X))))<=>((funny(susan)|tall(susan))))&
(![X]:((strong(X)|~quiet(X))=>~quiet(X)))&
(![X]:((~old(X)<~>~quiet(X))=>(~rich(X)&wise(X))))&
(![X]:((strong(X)|~happy(X))=>(rich(X)&patient(X))))&
(![X]:((~kind(X)|~tall(X))<=>~happy(X)))&
(![X]:(~funny(X)<=>~old(X)))&
(((generous(lucy)&~happy(lucy))... | tall(lucy) | [
"p3",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 234827385004238773016832
% SZS output start Proof for 234827385004238773016832
4. ! [X0] : ((~happy(X0) | strong(X0)) => (patient(X0) & rich(X0))) [input p3]
5. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> ~happy(X0)) [input p4]
16. ! [X0] : ((patient(X0) | generous(X0)) <=> ~patient(X0)) [input... | 0 |
If someone is both wise and calm then someone is creative or funny and vice versa.
Everyone who is not patient is not kind or creative and vice versa.
Everyone who is both patient and happy is not tall or not happy.
If someone is not rich or not curious then someone is creative.
Everyone who is not curious is not brave... | Mary is creative. | contradiction | ((?[X]:((wise(X)&calm(X))))<=>(?[X]:((creative(X)|funny(X)))))&
(![X]:(~patient(X)<=>(~kind(X)|creative(X))))&
(![X]:((patient(X)&happy(X))=>(~tall(X)|~happy(X))))&
((?[X]:((~rich(X)|~curious(X))))=>(?[X]:(creative(X))))&
(![X]:(~curious(X)<=>~brave(X)))&
(((~creative(paul)<~>strong(paul)))=>((quiet(paul)<~>kind(paul))... | creative(mary) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1585809123596098070369337
% SZS output start Proof for 1585809123596098070369337
2. ! [X0] : (~patient(X0) <=> (creative(X0) | ~kind(X0))) [input p1]
9. ! [X0] : ((curious(X0) & patient(X0)) <=> (~funny(X0) | creative(X0))) [input p8]
24. creative(mary) [input hypothesis]
44. ! [X0] : ((~... | 0 |
If lucy is either patient or tall then someone is both brave and rich and vice versa.
If alice is kind or not calm then someone is both funny and not quiet.
If someone is calm then someone is not wise or funny.
Everyone who is either strong or not wise is both tall and kind and vice versa.
Everyone who is both humble a... | Mary is not humble. | neutral | (((patient(lucy)<~>tall(lucy)))<=>(?[X]:((brave(X)&rich(X)))))&
(((kind(alice)|~calm(alice)))=>(?[X]:((funny(X)&~quiet(X)))))&
((?[X]:(calm(X)))=>(?[X]:((~wise(X)|funny(X)))))&
(![X]:((strong(X)<~>~wise(X))<=>(tall(X)&kind(X))))&
(![X]:((humble(X)&strong(X))<=>(rich(X)<~>~funny(X))))&
((?[X]:((~strong(X)|tall(X))))<=>(... | ~humble(mary) | [] | null | 0 |
Everyone who is either happy or calm is both curious and calm.
Everyone who is either not rich or creative is either old or happy and vice versa.
If paul is both strong and tall then someone is not patient and vice versa.
If mary is not kind or not patient then alice is both not funny and creative.
Everyone who is not ... | John is not curious. | neutral | (![X]:((happy(X)<~>calm(X))=>(curious(X)&calm(X))))&
(![X]:((~rich(X)<~>creative(X))<=>(old(X)<~>happy(X))))&
(((strong(paul)&tall(paul)))<=>(?[X]:(~patient(X))))&
(((~kind(mary)|~patient(mary)))=>((~funny(alice)&creative(alice))))&
(![X]:((~curious(X)|~quiet(X))=>kind(X)))&
(((~funny(fred)&quiet(fred)))=>(~curious(joh... | ~curious(john) | [] | null | 0 |
Everyone who is not patient is not rich or kind and vice versa.
If someone is not brave then john is not patient and vice versa.
If someone is not kind then susan is both not generous and not kind.
Everyone who is not rich or not kind is both not strong and not curious.
If susan is either kind or quiet then lucy is bot... | Fred is not funny. | neutral | (![X]:(~patient(X)<=>(~rich(X)|kind(X))))&
((?[X]:(~brave(X)))<=>(~patient(john)))&
((?[X]:(~kind(X)))=>((~generous(susan)&~kind(susan))))&
(![X]:((~rich(X)|~kind(X))=>(~strong(X)&~curious(X))))&
(((kind(susan)<~>quiet(susan)))<=>((kind(lucy)&curious(lucy))))&
(((patient(lucy)<~>~curious(lucy)))<=>(?[X]:((~tall(X)<~>hu... | ~funny(fred) | [] | null | 0 |
Everyone who is either not rich or tall is generous or not calm.
If susan is both kind and curious then someone is either curious or not patient.
Everyone who is both patient and strong is happy or not kind.
Everyone who is both not quiet and rich is both brave and old.
Everyone who is not patient or not creative is bo... | Fred is kind. | neutral | (![X]:((~rich(X)<~>tall(X))=>(generous(X)|~calm(X))))&
(((kind(susan)&curious(susan)))=>(?[X]:((curious(X)<~>~patient(X)))))&
(![X]:((patient(X)&strong(X))=>(happy(X)|~kind(X))))&
(![X]:((~quiet(X)&rich(X))=>(brave(X)&old(X))))&
(![X]:((~patient(X)|~creative(X))=>(generous(X)&~generous(X))))&
(![X]:((~creative(X)<~>~ge... | kind(fred) | [] | null | 0 |
Everyone who is either humble or patient is either not curious or old and vice versa.
Everyone who is either old or not strong is not brave or not quiet and vice versa.
If susan is both not funny and old then someone is not happy and vice versa.
If mary is both wise and happy then alice is calm and vice versa.
If fred ... | Alice is not calm. | contradiction | (![X]:((humble(X)<~>patient(X))<=>(~curious(X)<~>old(X))))&
(![X]:((old(X)<~>~strong(X))<=>(~brave(X)|~quiet(X))))&
(((~funny(susan)&old(susan)))<=>(?[X]:(~happy(X))))&
(((wise(mary)&happy(mary)))<=>(calm(alice)))&
(((kind(fred)&rich(fred)))=>(?[X]:((~quiet(X)<~>~wise(X)))))&
(((~tall(lucy)<~>~calm(lucy)))<=>(?[X]:((~q... | ~calm(alice) | [
"p1",
"p2",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 775551967655723125183441
% SZS output start Proof for 775551967655723125183441
2. ! [X0] : ((old(X0) <~> ~strong(X0)) <=> (~quiet(X0) | ~brave(X0))) [input p1]
3. (old(susan) & ~funny(susan)) <=> ? [X0] : ~happy(X0) [input p2]
7. ! [X0] : (strong(X0) => (brave(X0) & ~strong(X0))) [input p... | 0 |
If john is not happy then mary is either patient or not humble.
Everyone who is either not creative or not rich is both old and strong.
If someone is both not tall and tall then someone is either not rich or brave and vice versa.
If someone is patient or rich then someone is curious and vice versa.
If susan is either n... | Mary is creative. | entailment | ((~happy(john))=>((patient(mary)<~>~humble(mary))))&
(![X]:((~creative(X)<~>~rich(X))=>(old(X)&strong(X))))&
((?[X]:((~tall(X)&tall(X))))<=>(?[X]:((~rich(X)<~>brave(X)))))&
((?[X]:((patient(X)|rich(X))))<=>(?[X]:(curious(X))))&
(((~patient(susan)<~>old(susan)))=>(?[X]:((~creative(X)|~curious(X)))))&
((?[X]:(strong(X)))... | creative(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2773805152036259208784464
% SZS output start Proof for 2773805152036259208784464
18. creative(mary) & ~wise(mary) [input p17]
25. ~creative(mary) [input hypothesis]
148. creative(mary) [cnf transformation 18]
158. ~creative(mary) [cnf transformation 25]
404. $false [subsumption resolution... | 0 |
Everyone who is patient is not strong or not humble and vice versa.
If someone is either not brave or strong then someone is both not calm and not old.
Everyone who is either creative or not humble is not tall or kind.
If someone is either quiet or creative then someone is not quiet or happy.
If someone is not funny or... | Fred is tall. | neutral | (![X]:(patient(X)<=>(~strong(X)|~humble(X))))&
((?[X]:((~brave(X)<~>strong(X))))=>(?[X]:((~calm(X)&~old(X)))))&
(![X]:((creative(X)<~>~humble(X))=>(~tall(X)|kind(X))))&
((?[X]:((quiet(X)<~>creative(X))))=>(?[X]:((~quiet(X)|happy(X)))))&
((?[X]:((~funny(X)|curious(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((creative(X)<~>calm(... | tall(fred) | [] | null | 0 |
If alice is both calm and not humble then alice is curious. Everyone who is not quiet is both funny and strong. Everyone who is both strong and creative is either not calm or not humble. If someone is not strong then lucy is not funny or not tall and vice versa. Everyone who is either old or wise is curious or patient.... | Alice is generous. | entailment | (((calm(alice)&~humble(alice)))=>(curious(alice)))&
(![X]:(~quiet(X)=>(funny(X)&strong(X))))&
(![X]:((strong(X)&creative(X))=>(~calm(X)<~>~humble(X))))&
((?[X]:(~strong(X)))<=>((~funny(lucy)|~tall(lucy))))&
(![X]:((old(X)<~>wise(X))=>(curious(X)|patient(X))))&
(((generous(lucy)&rich(lucy)))<=>(?[X]:((wise(X)<~>curious(... | generous(alice) | [
"p7",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 40589798602976785155853
% SZS output start Proof for 40589798602976785155853
8. ? [X0] : ~happy(X0) <=> (quiet(alice) & generous(alice)) [input p7]
13. ! [X0] : (~happy(X0) <=> (patient(X0) | generous(X0))) [input p12]
18. ? [X0] : patient(X0) [input p17]
25. ~generous(alice) [input hypot... | 0 |
If someone is both wise and not rich then someone is kind or wise.
Everyone who is both not rich and not brave is not happy or tall and vice versa.
If mary is both curious and happy then someone is either old or rich and vice versa.
If someone is rich or wise then paul is both not patient and not funny.
If someone is e... | Alice is happy. | neutral | ((?[X]:((wise(X)&~rich(X))))=>(?[X]:((kind(X)|wise(X)))))&
(![X]:((~rich(X)&~brave(X))<=>(~happy(X)|tall(X))))&
(((curious(mary)&happy(mary)))<=>(?[X]:((old(X)<~>rich(X)))))&
((?[X]:((rich(X)|wise(X))))=>((~patient(paul)&~funny(paul))))&
((?[X]:((~humble(X)<~>~old(X))))=>(happy(alice)))&
((?[X]:((tall(X)|~creative(X)))... | happy(alice) | [] | null | 0 |
Everyone who is not generous is either not creative or not funny and vice versa.
Everyone who is generous or happy is tall and vice versa.
If someone is either not tall or not creative then mary is both rich and not wise.
Everyone who is not humble is either happy or strong and vice versa.
If someone is both creative a... | Paul is rich. | entailment | (![X]:(~generous(X)<=>(~creative(X)<~>~funny(X))))&
(![X]:((generous(X)|happy(X))<=>tall(X)))&
((?[X]:((~tall(X)<~>~creative(X))))=>((rich(mary)&~wise(mary))))&
(![X]:(~humble(X)<=>(happy(X)<~>strong(X))))&
((?[X]:((creative(X)&~old(X))))<=>(?[X]:((wise(X)<~>generous(X)))))&
(![X]:((curious(X)&~curious(X))<=>(rich(X)&q... | rich(paul) | [
"p0",
"p8",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5924681840032471067770546
% SZS output start Proof for 5924681840032471067770546
1. ! [X0] : (~generous(X0) <=> (~creative(X0) <~> ~funny(X0))) [input p0]
9. ! [X0] : ((~humble(X0) | kind(X0)) <=> rich(X0)) [input p8]
15. ! [X0] : ((~funny(X0) & ~old(X0)) <=> (humble(X0) | ~generous(X0)))... | 0 |
Everyone who is both not humble and not calm is funny and vice versa. If someone is not calm or kind then someone is old. Everyone who is either calm or not wise is both not calm and kind and vice versa. If someone is generous then alice is both curious and rich and vice versa. If someone is both not brave and kind the... | Susan is not happy. | neutral | (![X]:((~humble(X)&~calm(X))<=>funny(X)))&
((?[X]:((~calm(X)|kind(X))))=>(?[X]:(old(X))))&
(![X]:((calm(X)<~>~wise(X))<=>(~calm(X)&kind(X))))&
((?[X]:(generous(X)))<=>((curious(alice)&rich(alice))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~curious(X)|~generous(X)))))&
((?[X]:((~kind(X)|strong(X))))=>(?[X]:((~old(X)&~c... | ~happy(susan) | [] | null | 0 |
If susan is happy then someone is not kind or happy.
Everyone who is calm is not kind and vice versa.
If susan is not generous or not curious then mary is both strong and happy and vice versa.
Everyone who is not calm is both not brave and wise and vice versa.
If someone is calm or curious then someone is both not happ... | Mary is strong. | neutral | ((happy(susan))=>(?[X]:((~kind(X)|happy(X)))))&
(![X]:(calm(X)<=>~kind(X)))&
(((~generous(susan)|~curious(susan)))<=>((strong(mary)&happy(mary))))&
(![X]:(~calm(X)<=>(~brave(X)&wise(X))))&
((?[X]:((calm(X)|curious(X))))=>(?[X]:((~happy(X)&~kind(X)))))&
(((strong(john)|~strong(john)))=>(brave(fred)))&
(![X]:(~curious(X)... | strong(mary) | [] | null | 0 |
If someone is wise or not old then susan is not calm and vice versa.
If someone is not humble then someone is both not wise and not happy and vice versa.
If someone is tall then someone is not rich or curious and vice versa.
Everyone who is both wise and not brave is both not strong and happy.
Everyone who is either no... | Alice is not old. | contradiction | ((?[X]:((wise(X)|~old(X))))<=>(~calm(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~wise(X)&~happy(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:((wise(X)&~brave(X))=>(~strong(X)&happy(X))))&
(![X]:((~kind(X)<~>strong(X))=>(rich(X)&old(X))))&
((?[X]:((~rich(X)&~patient(X))))<=>((~kind(mary)<~>~old(mary)... | ~old(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8961051594279635230749192
% SZS output start Proof for 8961051594279635230749192
15. ! [X0] : (patient(X0) <=> (~patient(X0) | old(X0))) [input p14]
24. ~old(alice) [input hypothesis]
67. ! [X0] : ((patient(X0) | (patient(X0) & ~old(X0))) & ((~patient(X0) | old(X0)) | ~patient(X0))) [nnf ... | 0 |
If alice is either not tall or not old then someone is curious or not calm.
Everyone who is not patient or wise is patient or creative and vice versa.
If paul is not old or patient then someone is creative or brave and vice versa.
If alice is not rich or not generous then someone is patient and vice versa.
If someone i... | Susan is brave. | neutral | (((~tall(alice)<~>~old(alice)))=>(?[X]:((curious(X)|~calm(X)))))&
(![X]:((~patient(X)|wise(X))<=>(patient(X)|creative(X))))&
(((~old(paul)|patient(paul)))<=>(?[X]:((creative(X)|brave(X)))))&
(((~rich(alice)|~generous(alice)))<=>(?[X]:(patient(X))))&
((?[X]:((tall(X)|~patient(X))))=>((tall(lucy)|old(lucy))))&
(![X]:((ki... | brave(susan) | [] | null | 0 |
If someone is either tall or not kind then someone is not tall. Everyone who is not rich or not kind is either wise or not humble. Everyone who is not wise is both humble and strong and vice versa. Everyone who is not humble is not quiet. Everyone who is not humble is wise. If mary is either creative or not rich then p... | Mary is not funny. | contradiction | ((?[X]:((tall(X)<~>~kind(X))))=>(?[X]:(~tall(X))))&
(![X]:((~rich(X)|~kind(X))=>(wise(X)<~>~humble(X))))&
(![X]:(~wise(X)<=>(humble(X)&strong(X))))&
(![X]:(~humble(X)=>~quiet(X)))&
(![X]:(~humble(X)=>wise(X)))&
(((creative(mary)<~>~rich(mary)))=>((wise(paul)|~brave(paul))))&
(((rich(susan)|~creative(susan)))=>((~genero... | ~funny(mary) | [
"p2",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2530170129741806610610698
% SZS output start Proof for 2530170129741806610610698
3. ! [X0] : (~wise(X0) <=> (strong(X0) & humble(X0))) [input p2]
10. ! [X0] : (~wise(X0) <=> (funny(X0) <~> ~strong(X0))) [input p9]
18. ~wise(mary) [input p17]
25. ~funny(mary) [input hypothesis]
44. ! [X0] ... | 0 |
Everyone who is both wise and not rich is both wise and not humble and vice versa.
Everyone who is both not quiet and not strong is either generous or not curious.
Everyone who is not kind is patient or not wise and vice versa.
Everyone who is not humble is not old.
Everyone who is not happy or calm is both not funny a... | Susan is not curious. | entailment | (![X]:((wise(X)&~rich(X))<=>(wise(X)&~humble(X))))&
(![X]:((~quiet(X)&~strong(X))=>(generous(X)<~>~curious(X))))&
(![X]:(~kind(X)<=>(patient(X)|~wise(X))))&
(![X]:(~humble(X)=>~old(X)))&
(![X]:((~happy(X)|calm(X))<=>(~funny(X)&~curious(X))))&
(![X]:(calm(X)<=>~funny(X)))&
(![X]:((curious(X)<~>~funny(X))=>(~funny(X)&hap... | ~curious(susan) | [
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 781637662886655017846136
% SZS output start Proof for 781637662886655017846136
7. ! [X0] : ((curious(X0) <~> ~funny(X0)) => (happy(X0) & ~funny(X0))) [input p6]
19. funny(susan) [input p18]
24. curious(susan) [input hypothesis]
30. ! [X0] : ((happy(X0) & ~funny(X0)) | (curious(X0) <=> ~fu... | 0 |
Everyone who is not quiet is both not rich and not generous.
Everyone who is old is both generous and not creative.
If susan is not rich then mary is either humble or not rich.
If someone is not curious or creative then alice is strong.
Everyone who is calm or humble is both not wise and not happy and vice versa.
Every... | Mary is humble. | contradiction | (![X]:(~quiet(X)=>(~rich(X)&~generous(X))))&
(![X]:(old(X)=>(generous(X)&~creative(X))))&
((~rich(susan))=>((humble(mary)<~>~rich(mary))))&
((?[X]:((~curious(X)|creative(X))))=>(strong(alice)))&
(![X]:((calm(X)|humble(X))<=>(~wise(X)&~happy(X))))&
(![X]:(~patient(X)<=>(~creative(X)|kind(X))))&
(![X]:((~funny(X)|~creati... | humble(mary) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6862532295136159097183137
% SZS output start Proof for 6862532295136159097183137
1. ! [X0] : (~quiet(X0) => (~generous(X0) & ~rich(X0))) [input p0]
5. ! [X0] : ((humble(X0) | calm(X0)) <=> (~happy(X0) & ~wise(X0))) [input p4]
7. ! [X0] : ((~creative(X0) | ~funny(X0)) <=> curious(X0)) [inp... | 0 |
If someone is both brave and not creative then someone is wise or humble.
Everyone who is not humble or generous is either not quiet or old and vice versa.
Everyone who is generous or creative is either not creative or not old and vice versa.
Everyone who is both curious and not patient is both strong and curious and v... | Lucy is not strong. | neutral | ((?[X]:((brave(X)&~creative(X))))=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((~humble(X)|generous(X))<=>(~quiet(X)<~>old(X))))&
(![X]:((generous(X)|creative(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((curious(X)&~patient(X))<=>(strong(X)&curious(X))))&
(![X]:((generous(X)&~happy(X))=>~happy(X)))&
(![X]:((~creative(X)<~>funny... | ~strong(lucy) | [] | null | 0 |
If susan is either patient or not rich then someone is not tall.
If someone is both not curious and not patient then someone is not creative or old.
Everyone who is both calm and old is either not curious or brave.
Everyone who is both creative and rich is funny or quiet.
If paul is not kind then someone is not quiet o... | Paul is generous. | neutral | (((patient(susan)<~>~rich(susan)))=>(?[X]:(~tall(X))))&
((?[X]:((~curious(X)&~patient(X))))=>(?[X]:((~creative(X)|old(X)))))&
(![X]:((calm(X)&old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((creative(X)&rich(X))=>(funny(X)|quiet(X))))&
((~kind(paul))=>(?[X]:((~quiet(X)|happy(X)))))&
(![X]:(~kind(X)<=>(tall(X)<~>~kind(X))))... | generous(paul) | [] | null | 0 |
If lucy is either rich or strong then someone is either tall or old.
Everyone who is quiet or funny is old or curious.
Everyone who is tall or creative is both not humble and generous.
If someone is either not funny or strong then someone is either quiet or not funny and vice versa.
Everyone who is not kind is not wise... | Fred is wise. | entailment | (((rich(lucy)<~>strong(lucy)))=>(?[X]:((tall(X)<~>old(X)))))&
(![X]:((quiet(X)|funny(X))=>(old(X)|curious(X))))&
(![X]:((tall(X)|creative(X))=>(~humble(X)&generous(X))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((quiet(X)<~>~funny(X)))))&
(![X]:(~kind(X)<=>(~wise(X)|wise(X))))&
(![X]:((patient(X)|~happy(X))=>rich(X))... | wise(fred) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8303589042821972794218623
% SZS output start Proof for 8303589042821972794218623
5. ! [X0] : (~kind(X0) <=> (wise(X0) | ~wise(X0))) [input p4]
10. ! [X0] : ((wise(X0) & ~kind(X0)) <=> (~kind(X0) | kind(X0))) [input p9]
24. ~wise(fred) [input hypothesis]
48. ! [X0] : ((~kind(X0) | (~wise(X... | 0 |
Everyone who is both not calm and not generous is either not brave or not humble.
Everyone who is not creative or not kind is either not strong or tall and vice versa.
Everyone who is funny or not rich is not wise.
If susan is either not creative or brave then lucy is not tall and vice versa.
If john is not humble or c... | John is not creative. | entailment | (![X]:((~calm(X)&~generous(X))=>(~brave(X)<~>~humble(X))))&
(![X]:((~creative(X)|~kind(X))<=>(~strong(X)<~>tall(X))))&
(![X]:((funny(X)|~rich(X))=>~wise(X)))&
(((~creative(susan)<~>brave(susan)))<=>(~tall(lucy)))&
(((~humble(john)|creative(john)))=>((~kind(mary)&~humble(mary))))&
(![X]:((strong(X)<~>~patient(X))<=>(~ki... | ~creative(john) | [
"p4",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4860792533847089767417500
% SZS output start Proof for 4860792533847089767417500
5. (creative(john) | ~humble(john)) => (~humble(mary) & ~kind(mary)) [input p4]
12. (patient(mary) & rich(mary)) <=> (old(john) | creative(john)) [input p11]
16. ? [X0] : (happy(X0) | ~kind(X0)) <=> ~rich(mar... | 0 |
Everyone who is not calm or not funny is either rich or not rich. If someone is both creative and not generous then someone is both humble and kind. Everyone who is patient or rich is not generous. Everyone who is either not calm or funny is tall or not rich. If someone is not happy or not patient then someone is old a... | Alice is not funny. | entailment | (![X]:((~calm(X)|~funny(X))=>(rich(X)<~>~rich(X))))&
((?[X]:((creative(X)&~generous(X))))=>(?[X]:((humble(X)&kind(X)))))&
(![X]:((patient(X)|rich(X))=>~generous(X)))&
(![X]:((~calm(X)<~>funny(X))=>(tall(X)|~rich(X))))&
((?[X]:((~happy(X)|~patient(X))))<=>(?[X]:(old(X))))&
(((happy(john)|calm(john)))<=>(?[X]:((~creative... | ~funny(alice) | [
"p3",
"p6",
"p7",
"p8",
"p11",
"p12",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 652665586348350458512903
% SZS output start Proof for 652665586348350458512903
4. ! [X0] : ((~calm(X0) <~> funny(X0)) => (~rich(X0) | tall(X0))) [input p3]
7. ! [X0] : (patient(X0) => ~quiet(X0)) [input p6]
8. ? [X0] : (~curious(X0) | ~humble(X0)) => (~creative(alice) & rich(alice)) [inpu... | 0 |
Everyone who is both not old and quiet is not kind or calm. Everyone who is either not curious or brave is happy or old and vice versa. If someone is not strong or not funny then susan is both wise and happy. Everyone who is strong or humble is generous or calm. If someone is happy or not generous then someone is brave... | Fred is calm. | entailment | (![X]:((~old(X)&quiet(X))=>(~kind(X)|calm(X))))&
(![X]:((~curious(X)<~>brave(X))<=>(happy(X)|old(X))))&
((?[X]:((~strong(X)|~funny(X))))=>((wise(susan)&happy(susan))))&
(![X]:((strong(X)|humble(X))=>(generous(X)|calm(X))))&
((?[X]:((happy(X)|~generous(X))))=>(?[X]:(brave(X))))&
(![X]:(~curious(X)=>funny(X)))&
((~tall(j... | calm(fred) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5973935729594410985936756
% SZS output start Proof for 5973935729594410985936756
23. patient(fred) & calm(fred) [input p22]
25. ~calm(fred) [input hypothesis]
30. calm(fred) [pure predicate removal 23]
140. calm(fred) [cnf transformation 30]
143. ~calm(fred) [cnf transformation 25]
321. $... | 0 |
If someone is not calm or generous then someone is not patient and vice versa. Everyone who is either not happy or curious is generous. If alice is not calm then someone is not brave and vice versa. Everyone who is not old or tall is both not patient and curious and vice versa. Everyone who is not happy or calm is eith... | Susan is kind. | neutral | ((?[X]:((~calm(X)|generous(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~happy(X)<~>curious(X))=>generous(X)))&
((~calm(alice))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)|tall(X))<=>(~patient(X)&curious(X))))&
(![X]:((~happy(X)|calm(X))<=>(~patient(X)<~>~wise(X))))&
(![X]:(~rich(X)<=>happy(X)))&
((?[X]:((~humble(X)&strong(X))))<... | kind(susan) | [] | null | 0 |
Everyone who is not calm or creative is either not creative or funny and vice versa.
Everyone who is both not creative and not old is both not curious and not generous.
If someone is patient or strong then lucy is kind or quiet and vice versa.
If someone is not happy or not kind then someone is not patient or not gener... | Lucy is not quiet. | contradiction | (![X]:((~calm(X)|creative(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((~creative(X)&~old(X))=>(~curious(X)&~generous(X))))&
((?[X]:((patient(X)|strong(X))))<=>((kind(lucy)|quiet(lucy))))&
((?[X]:((~happy(X)|~kind(X))))=>(?[X]:((~patient(X)|~generous(X)))))&
((?[X]:((rich(X)<~>~creative(X))))=>((~tall(lucy)&~kind(lucy))))... | ~quiet(lucy) | [
"p2",
"p4",
"p12",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8165923111099356001104315
% SZS output start Proof for 8165923111099356001104315
3. ? [X0] : (strong(X0) | patient(X0)) <=> (quiet(lucy) | kind(lucy)) [input p2]
5. ? [X0] : (rich(X0) <~> ~creative(X0)) => (~kind(lucy) & ~tall(lucy)) [input p4]
13. ? [X0] : rich(X0) <=> (strong(mary) & ~r... | 0 |
If someone is happy or wise then someone is not old or not kind and vice versa. Everyone who is either generous or funny is humble or not curious. Everyone who is not curious or creative is patient or not generous and vice versa. If susan is not tall then paul is both happy and not funny. If someone is generous then al... | Lucy is old. | neutral | ((?[X]:((happy(X)|wise(X))))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((generous(X)<~>funny(X))=>(humble(X)|~curious(X))))&
(![X]:((~curious(X)|creative(X))<=>(patient(X)|~generous(X))))&
((~tall(susan))=>((happy(paul)&~funny(paul))))&
((?[X]:(generous(X)))<=>(creative(alice)))&
(![X]:((~curious(X)<~>rich(X))<=>(tall(X)<~... | old(lucy) | [] | null | 0 |
If someone is not calm then mary is both kind and not brave.
If someone is either not generous or not brave then paul is old and vice versa.
If someone is curious then someone is both strong and not tall.
Everyone who is both not wise and not calm is creative and vice versa.
Everyone who is creative is either not kind ... | Paul is brave. | contradiction | ((?[X]:(~calm(X)))=>((kind(mary)&~brave(mary))))&
((?[X]:((~generous(X)<~>~brave(X))))<=>(old(paul)))&
((?[X]:(curious(X)))=>(?[X]:((strong(X)&~tall(X)))))&
(![X]:((~wise(X)&~calm(X))<=>creative(X)))&
(![X]:(creative(X)<=>(~kind(X)<~>~rich(X))))&
(((brave(paul)|old(paul)))<=>((rich(mary)<~>~funny(mary))))&
(![X]:((rich... | brave(paul) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8645255035874329721465545
% SZS output start Proof for 8645255035874329721465545
1. ? [X0] : ~calm(X0) => (~brave(mary) & kind(mary)) [input p0]
4. ! [X0] : ((~calm(X0) & ~wise(X0)) <=> creative(X0)) [input p3]
5. ! [X0] : (creative(X0) <=> (~kind(X0) <~> ~rich(X0))) [input p4]
6. (old(pa... | 0 |
Everyone who is either not strong or not kind is wise and vice versa.
Everyone who is not curious is either not curious or wise and vice versa.
If john is brave or not happy then someone is not rich and vice versa.
Everyone who is either happy or wise is both creative and quiet and vice versa.
If someone is both happy ... | Paul is not rich. | neutral | (![X]:((~strong(X)<~>~kind(X))<=>wise(X)))&
(![X]:(~curious(X)<=>(~curious(X)<~>wise(X))))&
(((brave(john)|~happy(john)))<=>(?[X]:(~rich(X))))&
(![X]:((happy(X)<~>wise(X))<=>(creative(X)&quiet(X))))&
((?[X]:((happy(X)&~happy(X))))=>((curious(john)|~wise(john))))&
(![X]:((~calm(X)&~quiet(X))=>(~quiet(X)|~kind(X))))&
((?... | ~rich(paul) | [] | null | 0 |
If someone is not patient or funny then someone is both humble and curious.
If alice is not tall then someone is not brave or creative.
If susan is not calm then someone is both brave and happy.
If paul is wise then someone is either not kind or not funny and vice versa.
Everyone who is either not calm or funny is not ... | John is not tall. | entailment | ((?[X]:((~patient(X)|funny(X))))=>(?[X]:((humble(X)&curious(X)))))&
((~tall(alice))=>(?[X]:((~brave(X)|creative(X)))))&
((~calm(susan))=>(?[X]:((brave(X)&happy(X)))))&
((wise(paul))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:((~calm(X)<~>funny(X))<=>(~creative(X)|~curious(X))))&
(![X]:((~curious(X)|patient(X))=>(~creati... | ~tall(john) | [
"p4",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1759751091791038847994469
% SZS output start Proof for 1759751091791038847994469
5. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~curious(X0) | ~creative(X0))) [input p4]
13. ! [X0] : (~funny(X0) <=> (tall(X0) & creative(X0))) [input p12]
21. ~calm(john) & curious(john) [input p20]
24. tall(j... | 0 |
If someone is funny or patient then someone is not patient and vice versa.
Everyone who is quiet or not brave is both not old and wise.
Everyone who is both strong and not calm is not funny or funny and vice versa.
If someone is either not funny or not creative then fred is not wise or not creative and vice versa.
If j... | John is not strong. | contradiction | ((?[X]:((funny(X)|patient(X))))<=>(?[X]:(~patient(X))))&
(![X]:((quiet(X)|~brave(X))=>(~old(X)&wise(X))))&
(![X]:((strong(X)&~calm(X))<=>(~funny(X)|funny(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>((~wise(fred)|~creative(fred))))&
(((funny(john)<~>humble(john)))<=>((~generous(susan)|quiet(susan))))&
((tall(alice))<=... | ~strong(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6960777752398910873432708
% SZS output start Proof for 6960777752398910873432708
3. ! [X0] : ((~calm(X0) & strong(X0)) <=> (funny(X0) | ~funny(X0))) [input p2]
22. ~strong(john) [input hypothesis]
33. ! [X0] : (((~calm(X0) & strong(X0)) | (~funny(X0) & funny(X0))) & ((funny(X0) | ~funny(X... | 0 |
If someone is both not happy and curious then someone is either not humble or not quiet and vice versa. If fred is patient or not rich then alice is not wise. If fred is not brave or not old then someone is both kind and not strong. If susan is either kind or funny then susan is not patient. Everyone who is both not cu... | Fred is quiet. | neutral | ((?[X]:((~happy(X)&curious(X))))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(((patient(fred)|~rich(fred)))=>(~wise(alice)))&
(((~brave(fred)|~old(fred)))=>(?[X]:((kind(X)&~strong(X)))))&
(((kind(susan)<~>funny(susan)))=>(~patient(susan)))&
(![X]:((~curious(X)&~tall(X))<=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|calm(X)... | quiet(fred) | [] | null | 0 |
If alice is tall or not generous then fred is either happy or strong and vice versa. Everyone who is either not rich or not happy is both happy and calm and vice versa. Everyone who is both not patient and not creative is both not curious and happy. If susan is both not creative and funny then alice is calm and vice ve... | Fred is brave. | neutral | (((tall(alice)|~generous(alice)))<=>((happy(fred)<~>strong(fred))))&
(![X]:((~rich(X)<~>~happy(X))<=>(happy(X)&calm(X))))&
(![X]:((~patient(X)&~creative(X))=>(~curious(X)&happy(X))))&
(((~creative(susan)&funny(susan)))<=>(calm(alice)))&
(((curious(john)<~>calm(john)))<=>(?[X]:(wise(X))))&
((~brave(mary))<=>(?[X]:((~kin... | brave(fred) | [] | null | 0 |
Everyone who is either curious or not patient is both not humble and funny and vice versa. If alice is funny or not rich then fred is both funny and old and vice versa. Everyone who is both generous and wise is kind and vice versa. If someone is not happy then alice is either creative or old and vice versa. Everyone wh... | Mary is quiet. | contradiction | (![X]:((curious(X)<~>~patient(X))<=>(~humble(X)&funny(X))))&
(((funny(alice)|~rich(alice)))<=>((funny(fred)&old(fred))))&
(![X]:((generous(X)&wise(X))<=>kind(X)))&
((?[X]:(~happy(X)))<=>((creative(alice)<~>old(alice))))&
(![X]:((~brave(X)&~tall(X))<=>(old(X)<~>curious(X))))&
(((~tall(paul)<~>~calm(paul)))<=>((~old(lucy... | quiet(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8183256703014042245223185
% SZS output start Proof for 8183256703014042245223185
23. creative(mary) & ~quiet(mary) [input p22]
25. quiet(mary) [input hypothesis]
145. ~quiet(mary) [cnf transformation 23]
148. quiet(mary) [cnf transformation 25]
297. $false [subsumption resolution 148,145]... | 0 |
If john is not brave or not strong then someone is funny.
Everyone who is either strong or curious is not strong or brave and vice versa.
Everyone who is creative or kind is not happy.
If someone is both not generous and not curious then lucy is not generous or not wise.
Everyone who is either calm or not brave is not ... | Susan is curious. | entailment | (((~brave(john)|~strong(john)))=>(?[X]:(funny(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~strong(X)|brave(X))))&
(![X]:((creative(X)|kind(X))=>~happy(X)))&
((?[X]:((~generous(X)&~curious(X))))=>((~generous(lucy)|~wise(lucy))))&
(![X]:((calm(X)<~>~brave(X))=>(~creative(X)|~calm(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>((~... | curious(susan) | [
"p1",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 330559064360742109805360
% SZS output start Proof for 330559064360742109805360
2. ! [X0] : ((strong(X0) <~> curious(X0)) <=> (brave(X0) | ~strong(X0))) [input p1]
12. ? [X0] : (strong(X0) | humble(X0)) => (rich(john) & ~wise(john)) [input p11]
13. ! [X0] : ((brave(X0) | happy(X0)) => (hap... | 0 |
Everyone who is not kind or not strong is both not kind and rich. Everyone who is not funny or funny is not creative and vice versa. Everyone who is both calm and strong is rich and vice versa. If fred is not kind or strong then susan is either not strong or quiet and vice versa. Everyone who is brave is both not gener... | Paul is tall. | neutral | (![X]:((~kind(X)|~strong(X))=>(~kind(X)&rich(X))))&
(![X]:((~funny(X)|funny(X))<=>~creative(X)))&
(![X]:((calm(X)&strong(X))<=>rich(X)))&
(((~kind(fred)|strong(fred)))<=>((~strong(susan)<~>quiet(susan))))&
(![X]:(brave(X)<=>(~generous(X)&creative(X))))&
(![X]:((kind(X)|generous(X))=>(~tall(X)<~>kind(X))))&
(![X]:((~tal... | tall(paul) | [] | null | 0 |
Everyone who is both curious and kind is either not old or not humble.
If someone is not happy or not funny then paul is happy or tall and vice versa.
If someone is quiet then someone is either quiet or rich and vice versa.
If fred is either not curious or strong then someone is old or not curious.
If someone is curiou... | Susan is not generous. | entailment | (![X]:((curious(X)&kind(X))=>(~old(X)<~>~humble(X))))&
((?[X]:((~happy(X)|~funny(X))))<=>((happy(paul)|tall(paul))))&
((?[X]:(quiet(X)))<=>(?[X]:((quiet(X)<~>rich(X)))))&
(((~curious(fred)<~>strong(fred)))=>(?[X]:((old(X)|~curious(X)))))&
((?[X]:(curious(X)))<=>((~old(mary)&generous(mary))))&
(![X]:(~curious(X)<=>(~gen... | ~generous(susan) | [
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4564465407778995729772876
% SZS output start Proof for 4564465407778995729772876
5. ? [X0] : curious(X0) <=> (generous(mary) & ~old(mary)) [input p4]
6. ! [X0] : (~curious(X0) <=> (~old(X0) & ~generous(X0))) [input p5]
9. ! [X0] : (~old(X0) => (~calm(X0) & ~generous(X0))) [input p8]
23. g... | 0 |
If john is not strong or not brave then someone is either humble or rich. If someone is tall then someone is both calm and creative. If someone is either strong or not curious then fred is old or wise. Everyone who is not old is both not strong and not calm. If someone is not kind or quiet then someone is both not gene... | Alice is strong. | neutral | (((~strong(john)|~brave(john)))=>(?[X]:((humble(X)<~>rich(X)))))&
((?[X]:(tall(X)))=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((strong(X)<~>~curious(X))))=>((old(fred)|wise(fred))))&
(![X]:(~old(X)=>(~strong(X)&~calm(X))))&
((?[X]:((~kind(X)|quiet(X))))=>(?[X]:((~generous(X)&kind(X)))))&
(![X]:((~happy(X)<~>curious(X))<... | strong(alice) | [] | null | 0 |
Everyone who is wise or not humble is either old or happy.
If someone is generous or kind then someone is calm and vice versa.
If mary is either brave or calm then fred is not humble or not generous and vice versa.
If someone is either not curious or not quiet then john is not strong or not brave.
Everyone who is eithe... | Fred is not old. | contradiction | (![X]:((wise(X)|~humble(X))=>(old(X)<~>happy(X))))&
((?[X]:((generous(X)|kind(X))))<=>(?[X]:(calm(X))))&
(((brave(mary)<~>calm(mary)))<=>((~humble(fred)|~generous(fred))))&
((?[X]:((~curious(X)<~>~quiet(X))))=>((~strong(john)|~brave(john))))&
(![X]:((~tall(X)<~>~wise(X))=>(calm(X)|strong(X))))&
(![X]:((funny(X)<~>~brav... | ~old(fred) | [
"p0",
"p1",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2097311177502942464838258
% SZS output start Proof for 2097311177502942464838258
1. ! [X0] : ((~humble(X0) | wise(X0)) => (old(X0) <~> happy(X0))) [input p0]
2. ? [X0] : (kind(X0) | generous(X0)) <=> ? [X0] : calm(X0) [input p1]
9. (~creative(fred) <~> ~generous(fred)) <=> ? [X0] : (quiet... | 0 |
If john is both rich and humble then fred is not happy or old.
Everyone who is not funny is either not happy or old.
Everyone who is both brave and kind is either wise or not generous and vice versa.
Everyone who is not wise is kind and vice versa.
Everyone who is either calm or happy is both not creative and not tall.... | Lucy is creative. | neutral | (((rich(john)&humble(john)))=>((~happy(fred)|old(fred))))&
(![X]:(~funny(X)=>(~happy(X)<~>old(X))))&
(![X]:((brave(X)&kind(X))<=>(wise(X)<~>~generous(X))))&
(![X]:(~wise(X)<=>kind(X)))&
(![X]:((calm(X)<~>happy(X))=>(~creative(X)&~tall(X))))&
(![X]:((~kind(X)&~quiet(X))=>calm(X)))&
((~calm(john))=>((~rich(alice)<~>~quie... | creative(lucy) | [] | null | 0 |
Everyone who is not funny is not wise.
If someone is both tall and not old then someone is either rich or not quiet.
If fred is wise then susan is not tall.
Everyone who is either quiet or happy is not patient.
If someone is not humble then fred is either not creative or wise and vice versa.
Everyone who is either not ... | Alice is old. | entailment | (![X]:(~funny(X)=>~wise(X)))&
((?[X]:((tall(X)&~old(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((wise(fred))=>(~tall(susan)))&
(![X]:((quiet(X)<~>happy(X))=>~patient(X)))&
((?[X]:(~humble(X)))<=>((~creative(fred)<~>wise(fred))))&
(![X]:((~funny(X)<~>creative(X))=>(~brave(X)|old(X))))&
((?[X]:(~happy(X)))<=>(creative(mary)... | old(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5706828424816494927277731
% SZS output start Proof for 5706828424816494927277731
11. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> old(X0)) [input p10]
25. ~old(alice) [input hypothesis]
60. ! [X0] : ((((~humble(X0) | humble(X0)) & (humble(X0) | ~humble(X0))) | ~old(X0)) & (old(X0) | ((~humb... | 0 |
Everyone who is either not strong or quiet is strong. If someone is happy then mary is either patient or generous and vice versa. If someone is both not humble and rich then someone is wise or not generous and vice versa. If someone is either not brave or funny then lucy is either not quiet or not brave. Everyone who i... | John is not curious. | entailment | (![X]:((~strong(X)<~>quiet(X))=>strong(X)))&
((?[X]:(happy(X)))<=>((patient(mary)<~>generous(mary))))&
((?[X]:((~humble(X)&rich(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
((?[X]:((~brave(X)<~>funny(X))))=>((~quiet(lucy)<~>~brave(lucy))))&
(![X]:((~kind(X)|~quiet(X))=>(happy(X)&quiet(X))))&
(![X]:((~funny(X)|~generous(X)... | ~curious(john) | [
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6071780974649144924407034
% SZS output start Proof for 6071780974649144924407034
5. ! [X0] : ((~quiet(X0) | ~kind(X0)) => (quiet(X0) & happy(X0))) [input p4]
7. ~rich(john) => ? [X0] : ~quiet(X0) [input p6]
10. ! [X0] : (curious(X0) => (~rich(X0) & generous(X0))) [input p9]
25. curious(jo... | 0 |
If someone is both not curious and strong then mary is creative and vice versa.
Everyone who is not funny is not old or not quiet.
If someone is both wise and strong then someone is both not brave and not quiet.
If someone is both not wise and not funny then mary is both tall and not old and vice versa.
Everyone who is... | Fred is not wise. | contradiction | ((?[X]:((~curious(X)&strong(X))))<=>(creative(mary)))&
(![X]:(~funny(X)=>(~old(X)|~quiet(X))))&
((?[X]:((wise(X)&strong(X))))=>(?[X]:((~brave(X)&~quiet(X)))))&
((?[X]:((~wise(X)&~funny(X))))<=>((tall(mary)&~old(mary))))&
(![X]:((tall(X)|~old(X))=>(calm(X)&brave(X))))&
(![X]:((happy(X)|~kind(X))<=>~rich(X)))&
(![X]:((ha... | ~wise(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 779253855442776313656707
% SZS output start Proof for 779253855442776313656707
16. wise(fred) [input p15]
21. ~wise(fred) [input hypothesis]
114. wise(fred) [cnf transformation 16]
122. ~wise(fred) [cnf transformation 21]
200. 16 <=> wise(fred) [avatar definition]
240. 16 [avatar split cl... | 0 |
If someone is either humble or curious then someone is not quiet or kind. Everyone who is not kind or old is both generous and not generous and vice versa. Everyone who is kind is curious or not tall. If fred is both not happy and funny then alice is either not funny or kind. Everyone who is both generous and not patie... | Fred is not rich. | entailment | ((?[X]:((humble(X)<~>curious(X))))=>(?[X]:((~quiet(X)|kind(X)))))&
(![X]:((~kind(X)|old(X))<=>(generous(X)&~generous(X))))&
(![X]:(kind(X)=>(curious(X)|~tall(X))))&
(((~happy(fred)&funny(fred)))=>((~funny(alice)<~>kind(alice))))&
(![X]:((generous(X)&~patient(X))<=>(rich(X)|happy(X))))&
(((calm(mary)|~rich(mary)))<=>((c... | ~rich(fred) | [
"p1",
"p4",
"p8",
"p10",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4254838258690483168118203
% SZS output start Proof for 4254838258690483168118203
2. ! [X0] : ((old(X0) | ~kind(X0)) <=> (~generous(X0) & generous(X0))) [input p1]
5. ! [X0] : ((~patient(X0) & generous(X0)) <=> (happy(X0) | rich(X0))) [input p4]
9. (patient(lucy) & ~wise(lucy)) <=> ? [X0] ... | 0 |
Everyone who is not calm or not funny is either not old or old and vice versa. If john is not quiet or not happy then alice is wise. Everyone who is either happy or not kind is not strong or brave. Everyone who is either not happy or not curious is either not quiet or happy and vice versa. Everyone who is both curious ... | Susan is funny. | contradiction | (![X]:((~calm(X)|~funny(X))<=>(~old(X)<~>old(X))))&
(((~quiet(john)|~happy(john)))=>(wise(alice)))&
(![X]:((happy(X)<~>~kind(X))=>(~strong(X)|brave(X))))&
(![X]:((~happy(X)<~>~curious(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((curious(X)&~curious(X))=>(~curious(X)&calm(X))))&
(![X]:((creative(X)<~>humble(X))<=>(~wise(X)|q... | funny(susan) | [
"p3",
"p6",
"p7",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6884551630799906218663569
% SZS output start Proof for 6884551630799906218663569
4. ! [X0] : ((~happy(X0) <~> ~curious(X0)) <=> (~quiet(X0) <~> happy(X0))) [input p3]
7. ! [X0] : ((~kind(X0) & ~strong(X0)) <=> (~quiet(X0) | quiet(X0))) [input p6]
8. ! [X0] : (curious(X0) <=> (funny(X0) <~... | 0 |
Everyone who is either not humble or not happy is either not happy or curious and vice versa.
If lucy is both not curious and not strong then someone is either not brave or not patient and vice versa.
Everyone who is either not tall or quiet is brave or not calm.
Everyone who is either not kind or not rich is either no... | Fred is calm. | entailment | (![X]:((~humble(X)<~>~happy(X))<=>(~happy(X)<~>curious(X))))&
(((~curious(lucy)&~strong(lucy)))<=>(?[X]:((~brave(X)<~>~patient(X)))))&
(![X]:((~tall(X)<~>quiet(X))=>(brave(X)|~calm(X))))&
(![X]:((~kind(X)<~>~rich(X))=>(~quiet(X)<~>generous(X))))&
(![X]:((tall(X)|~funny(X))<=>(~wise(X)|wise(X))))&
(![X]:((funny(X)<~>ric... | calm(fred) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 12336116058334607230239
% SZS output start Proof for 12336116058334607230239
11. ! [X0] : (~calm(X0) <=> generous(X0)) [input p10]
20. ~generous(fred) & creative(fred) [input p19]
24. ~calm(fred) [input hypothesis]
51. ! [X0] : ((~calm(X0) | ~generous(X0)) & (generous(X0) | calm(X0))) [nn... | 0 |
Everyone who is rich or not wise is both kind and not curious.
If lucy is both not kind and tall then john is strong or not wise and vice versa.
If someone is both not rich and old then someone is both not rich and curious and vice versa.
Everyone who is kind is both not strong and quiet and vice versa.
If fred is rich... | Lucy is not kind. | contradiction | (![X]:((rich(X)|~wise(X))=>(kind(X)&~curious(X))))&
(((~kind(lucy)&tall(lucy)))<=>((strong(john)|~wise(john))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:((~rich(X)&curious(X)))))&
(![X]:(kind(X)<=>(~strong(X)&quiet(X))))&
((rich(fred))<=>(~curious(john)))&
(![X]:((~kind(X)<~>patient(X))<=>creative(X)))&
((?[X]:((~funny(X)&... | ~kind(lucy) | [
"p3",
"p8",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7852489008826582995633221
% SZS output start Proof for 7852489008826582995633221
4. ! [X0] : (kind(X0) <=> (quiet(X0) & ~strong(X0))) [input p3]
9. ! [X0] : ((~humble(X0) | ~happy(X0)) => quiet(X0)) [input p8]
11. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (~old(X0) & ~happy(X0))) [input p10]... | 0 |
If lucy is either not generous or wise then susan is either happy or patient.
If lucy is either patient or creative then mary is both calm and funny.
Everyone who is both not wise and not generous is both funny and not generous and vice versa.
If fred is not patient then lucy is not wise and vice versa.
Everyone who is... | Susan is not funny. | entailment | (((~generous(lucy)<~>wise(lucy)))=>((happy(susan)<~>patient(susan))))&
(((patient(lucy)<~>creative(lucy)))=>((calm(mary)&funny(mary))))&
(![X]:((~wise(X)&~generous(X))<=>(funny(X)&~generous(X))))&
((~patient(fred))<=>(~wise(lucy)))&
(![X]:((happy(X)&funny(X))<=>(rich(X)<~>generous(X))))&
(((~kind(alice)<~>~creative(ali... | ~funny(susan) | [
"p7",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3567266105950648560278658
% SZS output start Proof for 3567266105950648560278658
8. ! [X0] : (~patient(X0) => humble(X0)) [input p7]
9. ! [X0] : (~quiet(X0) <=> ~rich(X0)) [input p8]
10. ! [X0] : ((patient(X0) | wise(X0)) <=> humble(X0)) [input p9]
12. ? [X0] : (patient(X0) | ~humble(X0))... | 0 |
If someone is either not wise or funny then alice is not kind or not generous and vice versa.
Everyone who is wise or tall is not happy and vice versa.
Everyone who is not patient is not quiet.
Everyone who is not kind is both generous and wise and vice versa.
If john is both not old and curious then someone is not pat... | Susan is quiet. | entailment | ((?[X]:((~wise(X)<~>funny(X))))<=>((~kind(alice)|~generous(alice))))&
(![X]:((wise(X)|tall(X))<=>~happy(X)))&
(![X]:(~patient(X)=>~quiet(X)))&
(![X]:(~kind(X)<=>(generous(X)&wise(X))))&
(((~old(john)&curious(john)))<=>(?[X]:((~patient(X)|wise(X)))))&
(![X]:((calm(X)&~calm(X))<=>(~happy(X)|funny(X))))&
((?[X]:((~rich(X)... | quiet(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3797725430802951281426787
% SZS output start Proof for 3797725430802951281426787
15. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (quiet(X0) & ~brave(X0))) [input p14]
22. ~quiet(susan) [input hypothesis]
67. ! [X0] : ((((~quiet(X0) | quiet(X0)) & (quiet(X0) | ~quiet(X0))) | (~quiet(X0) | bra... | 0 |
If john is not funny then someone is not wise and vice versa.
Everyone who is either not wise or happy is funny or old and vice versa.
If mary is creative or not wise then mary is tall or old.
Everyone who is both not strong and rich is both not generous and not old.
Everyone who is both kind and not rich is either not... | John is quiet. | entailment | ((~funny(john))<=>(?[X]:(~wise(X))))&
(![X]:((~wise(X)<~>happy(X))<=>(funny(X)|old(X))))&
(((creative(mary)|~wise(mary)))=>((tall(mary)|old(mary))))&
(![X]:((~strong(X)&rich(X))=>(~generous(X)&~old(X))))&
(![X]:((kind(X)&~rich(X))=>(~calm(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(wise(X)<~>humble(X))))&
(![X]:((~tall(X)<~>~... | quiet(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8576167940953997358858487
% SZS output start Proof for 8576167940953997358858487
12. ? [X0] : (~rich(X0) | ~quiet(X0)) <=> ? [X0] : (~generous(X0) & generous(X0)) [input p11]
24. ~quiet(john) [input hypothesis]
25. ? [X0] : (~rich(X0) | ~quiet(X0)) <=> ? [X1] : (~generous(X1) & generous(X... | 0 |
If lucy is not brave or patient then susan is not strong.
Everyone who is calm is not wise and vice versa.
Everyone who is both not old and tall is either not quiet or generous.
Everyone who is not quiet or generous is both creative and not old.
Everyone who is both not curious and not funny is funny and vice versa.
If... | Fred is not wise. | contradiction | (((~brave(lucy)|patient(lucy)))=>(~strong(susan)))&
(![X]:(calm(X)<=>~wise(X)))&
(![X]:((~old(X)&tall(X))=>(~quiet(X)<~>generous(X))))&
(![X]:((~quiet(X)|generous(X))=>(creative(X)&~old(X))))&
(![X]:((~curious(X)&~funny(X))<=>funny(X)))&
((?[X]:((creative(X)<~>old(X))))=>((~creative(alice)&strong(alice))))&
(((humble(m... | ~wise(fred) | [
"p1",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2370886220044508665942012
% SZS output start Proof for 2370886220044508665942012
2. ! [X0] : (calm(X0) <=> ~wise(X0)) [input p1]
21. ~calm(fred) & ~rich(fred) [input p20]
23. ~wise(fred) [input hypothesis]
25. ~calm(fred) [pure predicate removal 21]
40. ! [X0] : ((calm(X0) | wise(X0)) & (... | 0 |
If john is either curious or wise then someone is wise or not tall and vice versa. If someone is not quiet or old then someone is calm or creative and vice versa. If mary is not curious then someone is both kind and not tall. If susan is tall then alice is either wise or generous. If fred is curious then alice is not c... | Mary is not funny. | contradiction | (((curious(john)<~>wise(john)))<=>(?[X]:((wise(X)|~tall(X)))))&
((?[X]:((~quiet(X)|old(X))))<=>(?[X]:((calm(X)|creative(X)))))&
((~curious(mary))=>(?[X]:((kind(X)&~tall(X)))))&
((tall(susan))=>((wise(alice)<~>generous(alice))))&
((curious(fred))<=>(~curious(alice)))&
(![X]:((~wise(X)<~>rich(X))=>generous(X)))&
((?[X]:(... | ~funny(mary) | [
"p2",
"p8",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3364091710150946248291639
% SZS output start Proof for 3364091710150946248291639
3. ~curious(mary) => ? [X0] : (~tall(X0) & kind(X0)) [input p2]
9. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> ~kind(X0)) [input p8]
11. ! [X0] : ((curious(X0) | ~calm(X0)) <=> (rich(X0) | quiet(X0))) [input p10]
... | 0 |
If alice is either not funny or generous then someone is both not strong and brave.
If someone is either not creative or not funny then someone is not creative and vice versa.
If fred is not creative then mary is either curious or not happy and vice versa.
Everyone who is humble is both not generous and kind.
Everyone ... | Susan is brave. | contradiction | (((~funny(alice)<~>generous(alice)))=>(?[X]:((~strong(X)&brave(X)))))&
((?[X]:((~creative(X)<~>~funny(X))))<=>(?[X]:(~creative(X))))&
((~creative(fred))<=>((curious(mary)<~>~happy(mary))))&
(![X]:(humble(X)=>(~generous(X)&kind(X))))&
(![X]:(~humble(X)<=>(generous(X)<~>tall(X))))&
(![X]:((~creative(X)<~>~old(X))=>(~funn... | brave(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1933512935865530401596625
% SZS output start Proof for 1933512935865530401596625
21. ~brave(susan) [input p20]
24. brave(susan) [input hypothesis]
140. ~brave(susan) [cnf transformation 21]
145. brave(susan) [cnf transformation 24]
321. $false [subsumption resolution 145,140]
% SZS output... | 0 |
If someone is not rich then someone is both not rich and curious.
Everyone who is both not rich and not happy is patient and vice versa.
Everyone who is not brave or not creative is either not calm or not curious.
Everyone who is not generous or not patient is creative.
If alice is wise then mary is not old or kind and... | John is happy. | contradiction | ((?[X]:(~rich(X)))=>(?[X]:((~rich(X)&curious(X)))))&
(![X]:((~rich(X)&~happy(X))<=>patient(X)))&
(![X]:((~brave(X)|~creative(X))=>(~calm(X)<~>~curious(X))))&
(![X]:((~generous(X)|~patient(X))=>creative(X)))&
((wise(alice))<=>((~old(mary)|kind(mary))))&
((?[X]:((~tall(X)|~strong(X))))=>(~funny(susan)))&
(((funny(susan)<... | happy(john) | [
"p1",
"p3",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6168094712856725195414080
% SZS output start Proof for 6168094712856725195414080
2. ! [X0] : ((~happy(X0) & ~rich(X0)) <=> patient(X0)) [input p1]
4. ! [X0] : ((~patient(X0) | ~generous(X0)) => creative(X0)) [input p3]
8. ! [X0] : ((strong(X0) | creative(X0)) => (wise(X0) & ~tall(X0))) [i... | 0 |
Everyone who is not old is both not curious and not funny and vice versa.
If paul is not humble or calm then someone is either not strong or not wise and vice versa.
If someone is funny or kind then someone is either generous or tall and vice versa.
Everyone who is both not funny and not quiet is either humble or stron... | Lucy is not brave. | entailment | (![X]:(~old(X)<=>(~curious(X)&~funny(X))))&
(((~humble(paul)|calm(paul)))<=>(?[X]:((~strong(X)<~>~wise(X)))))&
((?[X]:((funny(X)|kind(X))))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((~funny(X)&~quiet(X))<=>(humble(X)<~>strong(X))))&
(![X]:((~kind(X)&brave(X))<=>(calm(X)&~calm(X))))&
((?[X]:((funny(X)&tall(X))))=>(?[X... | ~brave(lucy) | [
"p0",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6534312807410509673284895
% SZS output start Proof for 6534312807410509673284895
1. ! [X0] : (~old(X0) <=> (~funny(X0) & ~curious(X0))) [input p0]
5. ! [X0] : ((brave(X0) & ~kind(X0)) <=> (~calm(X0) & calm(X0))) [input p4]
9. ? [X0] : (~curious(X0) | creative(X0)) => (patient(lucy) & ~pat... | 0 |
Everyone who is both not happy and not humble is calm and vice versa.
If someone is curious then alice is curious or not happy and vice versa.
If someone is both strong and old then someone is not patient.
Everyone who is both humble and not funny is either creative or not creative.
Everyone who is either tall or humbl... | Fred is creative. | entailment | (![X]:((~happy(X)&~humble(X))<=>calm(X)))&
((?[X]:(curious(X)))<=>((curious(alice)|~happy(alice))))&
((?[X]:((strong(X)&old(X))))=>(?[X]:(~patient(X))))&
(![X]:((humble(X)&~funny(X))=>(creative(X)<~>~creative(X))))&
(![X]:((tall(X)<~>humble(X))=>(generous(X)<~>wise(X))))&
(![X]:((tall(X)<~>~rich(X))<=>(~kind(X)|wise(X)... | creative(fred) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 587042105833488791771949
% SZS output start Proof for 587042105833488791771949
24. ~funny(fred) & creative(fred) [input p23]
25. ~creative(fred) [input hypothesis]
128. creative(fred) [cnf transformation 24]
130. ~creative(fred) [cnf transformation 25]
235. $false [subsumption resolution ... | 0 |
Everyone who is both humble and strong is old and vice versa. Everyone who is both patient and not kind is not kind. Everyone who is either not happy or strong is happy or humble and vice versa. If someone is humble or not wise then someone is rich. Everyone who is not patient is either not quiet or kind and vice versa... | Alice is not creative. | contradiction | (![X]:((humble(X)&strong(X))<=>old(X)))&
(![X]:((patient(X)&~kind(X))=>~kind(X)))&
(![X]:((~happy(X)<~>strong(X))<=>(happy(X)|humble(X))))&
((?[X]:((humble(X)|~wise(X))))=>(?[X]:(rich(X))))&
(![X]:(~patient(X)<=>(~quiet(X)<~>kind(X))))&
((?[X]:((strong(X)<~>calm(X))))<=>((curious(susan)|~generous(susan))))&
((?[X]:(qui... | ~creative(alice) | [
"p2",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6625445821957785039132145
% SZS output start Proof for 6625445821957785039132145
3. ! [X0] : ((~happy(X0) <~> strong(X0)) <=> (humble(X0) | happy(X0))) [input p2]
13. ! [X0] : ((humble(X0) | old(X0)) => (brave(X0) & curious(X0))) [input p12]
15. ! [X0] : ((~creative(X0) | ~old(X0)) <=> (~... | 0 |
Everyone who is both old and not happy is both not brave and happy.
If someone is either not wise or not strong then someone is both strong and funny.
Everyone who is not humble is both not wise and funny and vice versa.
Everyone who is not humble is either not curious or strong.
If someone is not brave or not kind the... | Susan is not happy. | neutral | (![X]:((old(X)&~happy(X))=>(~brave(X)&happy(X))))&
((?[X]:((~wise(X)<~>~strong(X))))=>(?[X]:((strong(X)&funny(X)))))&
(![X]:(~humble(X)<=>(~wise(X)&funny(X))))&
(![X]:(~humble(X)=>(~curious(X)<~>strong(X))))&
((?[X]:((~brave(X)|~kind(X))))<=>((~patient(mary)|kind(mary))))&
(![X]:(~strong(X)=>(~funny(X)<~>~patient(X))))... | ~happy(susan) | [] | null | 0 |
Everyone who is not curious or not strong is either not patient or patient and vice versa. Everyone who is not patient or not quiet is both humble and not happy and vice versa. If paul is not strong or not brave then someone is not funny. Everyone who is both rich and generous is both not curious and quiet. Everyone wh... | Susan is not strong. | neutral | (![X]:((~curious(X)|~strong(X))<=>(~patient(X)<~>patient(X))))&
(![X]:((~patient(X)|~quiet(X))<=>(humble(X)&~happy(X))))&
(((~strong(paul)|~brave(paul)))=>(?[X]:(~funny(X))))&
(![X]:((rich(X)&generous(X))=>(~curious(X)&quiet(X))))&
(![X]:((~wise(X)<~>patient(X))<=>~humble(X)))&
(![X]:((~tall(X)&~happy(X))=>(~brave(X)|~... | ~strong(susan) | [] | null | 0 |
If mary is not humble or funny then john is not quiet and vice versa.
If someone is both not humble and not rich then alice is either not old or not calm.
Everyone who is both not quiet and not kind is not rich or generous.
Everyone who is not tall is both kind and not generous.
If someone is curious or creative then s... | Mary is happy. | neutral | (((~humble(mary)|funny(mary)))<=>(~quiet(john)))&
((?[X]:((~humble(X)&~rich(X))))=>((~old(alice)<~>~calm(alice))))&
(![X]:((~quiet(X)&~kind(X))=>(~rich(X)|generous(X))))&
(![X]:(~tall(X)=>(kind(X)&~generous(X))))&
((?[X]:((curious(X)|creative(X))))<=>(?[X]:(quiet(X))))&
((rich(john))<=>(?[X]:((strong(X)|funny(X)))))&
(... | happy(mary) | [] | null | 0 |
If someone is generous or not happy then paul is quiet or not quiet.
If someone is not patient or calm then fred is both not wise and humble.
Everyone who is happy is both not generous and not patient.
If susan is not rich or creative then john is both curious and tall and vice versa.
Everyone who is both not old and n... | Susan is not humble. | entailment | ((?[X]:((generous(X)|~happy(X))))=>((quiet(paul)|~quiet(paul))))&
((?[X]:((~patient(X)|calm(X))))=>((~wise(fred)&humble(fred))))&
(![X]:(happy(X)=>(~generous(X)&~patient(X))))&
(((~rich(susan)|creative(susan)))<=>((curious(john)&tall(john))))&
(![X]:((~old(X)&~humble(X))=>(~kind(X)|~funny(X))))&
(((~funny(fred)&generou... | ~humble(susan) | [
"p6",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8510005625621570282273438
% SZS output start Proof for 8510005625621570282273438
7. ! [X0] : (~humble(X0) <=> (kind(X0) | ~calm(X0))) [input p6]
10. ! [X0] : ((happy(X0) | ~curious(X0)) <=> (~humble(X0) & strong(X0))) [input p9]
15. ! [X0] : ((~curious(X0) <~> ~creative(X0)) => (~calm(X0)... | 0 |
If someone is either generous or patient then john is wise or not quiet and vice versa.
Everyone who is both funny and strong is generous.
If someone is both wise and not creative then someone is either funny or not patient and vice versa.
Everyone who is not creative or funny is creative or tall and vice versa.
Everyo... | Lucy is not generous. | entailment | ((?[X]:((generous(X)<~>patient(X))))<=>((wise(john)|~quiet(john))))&
(![X]:((funny(X)&strong(X))=>generous(X)))&
((?[X]:((wise(X)&~creative(X))))<=>(?[X]:((funny(X)<~>~patient(X)))))&
(![X]:((~creative(X)|funny(X))<=>(creative(X)|tall(X))))&
(![X]:((old(X)<~>calm(X))=>(~wise(X)&~calm(X))))&
(![X]:((curious(X)<~>patient... | ~generous(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 63967795572045177608675
% SZS output start Proof for 63967795572045177608675
10. ! [X0] : ((~strong(X0) & strong(X0)) <=> (~curious(X0) | generous(X0))) [input p9]
19. generous(lucy) [input hypothesis]
47. ! [X0] : (((~strong(X0) & strong(X0)) | (curious(X0) & ~generous(X0))) & ((~curious... | 0 |
Everyone who is not rich or not old is both patient and funny. If someone is either old or brave then susan is rich and vice versa. If lucy is not generous then susan is old and vice versa. Everyone who is not quiet is both patient and not humble and vice versa. Everyone who is not patient or not quiet is quiet or funn... | Paul is not rich. | contradiction | (![X]:((~rich(X)|~old(X))=>(patient(X)&funny(X))))&
((?[X]:((old(X)<~>brave(X))))<=>(rich(susan)))&
((~generous(lucy))<=>(old(susan)))&
(![X]:(~quiet(X)<=>(patient(X)&~humble(X))))&
(![X]:((~patient(X)|~quiet(X))<=>(quiet(X)|funny(X))))&
((?[X]:(humble(X)))=>(kind(john)))&
(((calm(paul)&~rich(paul)))=>(?[X]:((~brave(X)... | ~rich(paul) | [
"p0",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1703296947270213504435432
% SZS output start Proof for 1703296947270213504435432
1. ! [X0] : ((~old(X0) | ~rich(X0)) => (funny(X0) & patient(X0))) [input p0]
5. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> (funny(X0) | quiet(X0))) [input p4]
13. ! [X0] : (~quiet(X0) => (~funny(X0) & happy(X0... | 0 |
Everyone who is not wise or rich is not funny and vice versa. If someone is both wise and not patient then john is creative or not generous. If mary is either brave or not tall then alice is either generous or not humble. Everyone who is either not funny or not rich is either not tall or not happy and vice versa. Every... | John is tall. | neutral | (![X]:((~wise(X)|rich(X))<=>~funny(X)))&
((?[X]:((wise(X)&~patient(X))))=>((creative(john)|~generous(john))))&
(((brave(mary)<~>~tall(mary)))=>((generous(alice)<~>~humble(alice))))&
(![X]:((~funny(X)<~>~rich(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~curious(X)|~rich(X))<=>(~rich(X)|~calm(X))))&
(![X]:(generous(X)=>(~qui... | tall(john) | [] | null | 0 |
If someone is brave then john is both not kind and not patient and vice versa.
Everyone who is not brave is both not tall and not old and vice versa.
Everyone who is not strong or not quiet is not happy.
Everyone who is funny is both not patient and generous and vice versa.
Everyone who is not kind or not strong is eit... | Paul is not strong. | contradiction | ((?[X]:(brave(X)))<=>((~kind(john)&~patient(john))))&
(![X]:(~brave(X)<=>(~tall(X)&~old(X))))&
(![X]:((~strong(X)|~quiet(X))=>~happy(X)))&
(![X]:(funny(X)<=>(~patient(X)&generous(X))))&
(![X]:((~kind(X)|~strong(X))<=>(~tall(X)<~>happy(X))))&
(![X]:(tall(X)<=>(~strong(X)&~patient(X))))&
(![X]:(~rich(X)<=>(~humble(X)<~>w... | ~strong(paul) | [
"p2",
"p4",
"p5",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7273891100756740742723706
% SZS output start Proof for 7273891100756740742723706
3. ! [X0] : ((~quiet(X0) | ~strong(X0)) => ~happy(X0)) [input p2]
5. ! [X0] : ((~strong(X0) | ~kind(X0)) <=> (~tall(X0) <~> happy(X0))) [input p4]
6. ! [X0] : (tall(X0) <=> (~patient(X0) & ~strong(X0))) [inpu... | 0 |
Everyone who is funny or wise is either not wise or not old.
If someone is both patient and not patient then mary is either funny or not calm and vice versa.
Everyone who is either not creative or brave is both not tall and happy.
If someone is either funny or not funny then someone is both not happy and brave and vice... | Fred is not kind. | entailment | (![X]:((funny(X)|wise(X))=>(~wise(X)<~>~old(X))))&
((?[X]:((patient(X)&~patient(X))))<=>((funny(mary)<~>~calm(mary))))&
(![X]:((~creative(X)<~>brave(X))=>(~tall(X)&happy(X))))&
((?[X]:((funny(X)<~>~funny(X))))<=>(?[X]:((~happy(X)&brave(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((~brave(X)|wise(X)))))&
((brave(alice))=>(?[X]:((... | ~kind(fred) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8260736100508097613334824
% SZS output start Proof for 8260736100508097613334824
7. ! [X0] : ((~funny(X0) & ~rich(X0)) <=> (~rich(X0) <~> rich(X0))) [input p6]
14. ? [X0] : (~kind(X0) & rich(X0)) <=> ? [X0] : kind(X0) [input p13]
25. kind(fred) [input hypothesis]
30. ? [X0] : (~kind(X0) &... | 0 |
Everyone who is tall or creative is either happy or funny and vice versa. Everyone who is not curious or not brave is not creative or curious and vice versa. If fred is not tall or funny then someone is strong or humble. Everyone who is not quiet or funny is wise or not generous. If lucy is generous then susan is not c... | John is old. | neutral | (![X]:((tall(X)|creative(X))<=>(happy(X)<~>funny(X))))&
(![X]:((~curious(X)|~brave(X))<=>(~creative(X)|curious(X))))&
(((~tall(fred)|funny(fred)))=>(?[X]:((strong(X)|humble(X)))))&
(![X]:((~quiet(X)|funny(X))=>(wise(X)|~generous(X))))&
((generous(lucy))=>(~curious(susan)))&
((?[X]:((~kind(X)&curious(X))))<=>(?[X]:((kin... | old(john) | [] | null | 0 |
Everyone who is not funny or creative is not quiet or patient and vice versa. Everyone who is kind or rich is both tall and not calm. Everyone who is wise or curious is quiet or happy. Everyone who is both not wise and creative is both not funny and not creative and vice versa. If susan is brave then lucy is calm or no... | Susan is not happy. | contradiction | (![X]:((~funny(X)|creative(X))<=>(~quiet(X)|patient(X))))&
(![X]:((kind(X)|rich(X))=>(tall(X)&~calm(X))))&
(![X]:((wise(X)|curious(X))=>(quiet(X)|happy(X))))&
(![X]:((~wise(X)&creative(X))<=>(~funny(X)&~creative(X))))&
((brave(susan))<=>((calm(lucy)|~rich(lucy))))&
(![X]:(funny(X)<=>(~curious(X)&curious(X))))&
((?[X]:(... | ~happy(susan) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4663935583415515943235474
% SZS output start Proof for 4663935583415515943235474
2. ! [X0] : ((rich(X0) | kind(X0)) => (~calm(X0) & tall(X0))) [input p1]
11. ! [X0] : ((~kind(X0) | tall(X0)) => (wise(X0) & happy(X0))) [input p10]
24. ~happy(susan) [input hypothesis]
27. ! [X0] : ((~calm(X... | 0 |
Everyone who is either happy or not patient is both calm and generous and vice versa. Everyone who is both not curious and not brave is both not patient and strong. Everyone who is both not kind and not happy is both not strong and not patient and vice versa. Everyone who is both brave and happy is not creative and vic... | Susan is not brave. | contradiction | (![X]:((happy(X)<~>~patient(X))<=>(calm(X)&generous(X))))&
(![X]:((~curious(X)&~brave(X))=>(~patient(X)&strong(X))))&
(![X]:((~kind(X)&~happy(X))<=>(~strong(X)&~patient(X))))&
(![X]:((brave(X)&happy(X))<=>~creative(X)))&
(((~strong(john)&kind(john)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~c... | ~brave(susan) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5984508194478587259125855
% SZS output start Proof for 5984508194478587259125855
4. ! [X0] : ((happy(X0) & brave(X0)) <=> ~creative(X0)) [input p3]
23. ~creative(susan) [input p22]
25. ~brave(susan) [input hypothesis]
35. ! [X0] : (((happy(X0) & brave(X0)) | creative(X0)) & (~creative(X0)... | 0 |
If mary is calm then someone is not old or not brave and vice versa. Everyone who is not calm is either not curious or not humble and vice versa. If mary is not rich then someone is curious or not humble. Everyone who is both not rich and old is both wise and patient. Everyone who is not happy or old is both not calm a... | Alice is tall. | contradiction | ((calm(mary))<=>(?[X]:((~old(X)|~brave(X)))))&
(![X]:(~calm(X)<=>(~curious(X)<~>~humble(X))))&
((~rich(mary))=>(?[X]:((curious(X)|~humble(X)))))&
(![X]:((~rich(X)&old(X))=>(wise(X)&patient(X))))&
(![X]:((~happy(X)|old(X))<=>(~calm(X)&curious(X))))&
(![X]:((humble(X)<~>~generous(X))=>old(X)))&
((?[X]:((~calm(X)&~quiet(X... | tall(alice) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1411143420229265315405803
% SZS output start Proof for 1411143420229265315405803
5. ! [X0] : ((old(X0) | ~happy(X0)) <=> (curious(X0) & ~calm(X0))) [input p4]
12. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (~funny(X0) | ~kind(X0))) [input p11]
14. ! [X0] : ((~wise(X0) | funny(X0)) <=> ~tal... | 0 |
Everyone who is both quiet and wise is not happy and vice versa.
Everyone who is brave or generous is not wise or kind and vice versa.
Everyone who is patient is not curious or strong.
Everyone who is either not funny or creative is either kind or not kind and vice versa.
If mary is old then someone is both not wise an... | Paul is happy. | entailment | (![X]:((quiet(X)&wise(X))<=>~happy(X)))&
(![X]:((brave(X)|generous(X))<=>(~wise(X)|kind(X))))&
(![X]:(patient(X)=>(~curious(X)|strong(X))))&
(![X]:((~funny(X)<~>creative(X))<=>(kind(X)<~>~kind(X))))&
((old(mary))=>(?[X]:((~wise(X)&brave(X)))))&
(![X]:((~tall(X)&calm(X))=>(generous(X)&~calm(X))))&
(![X]:((happy(X)<~>kin... | happy(paul) | [
"p0",
"p1",
"p5",
"p7",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3022266495384614930433721
% SZS output start Proof for 3022266495384614930433721
1. ! [X0] : ((wise(X0) & quiet(X0)) <=> ~happy(X0)) [input p0]
2. ! [X0] : ((generous(X0) | brave(X0)) <=> (kind(X0) | ~wise(X0))) [input p1]
6. ! [X0] : ((calm(X0) & ~tall(X0)) => (~calm(X0) & generous(X0)))... | 0 |
If someone is either not generous or generous then mary is brave or not brave and vice versa.
Everyone who is either not brave or not creative is either wise or rich and vice versa.
Everyone who is not wise is happy or not creative and vice versa.
Everyone who is brave is not calm or rich and vice versa.
Everyone who i... | Paul is creative. | contradiction | ((?[X]:((~generous(X)<~>generous(X))))<=>((brave(mary)|~brave(mary))))&
(![X]:((~brave(X)<~>~creative(X))<=>(wise(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(happy(X)|~creative(X))))&
(![X]:(brave(X)<=>(~calm(X)|rich(X))))&
(![X]:((~creative(X)|~brave(X))<=>(wise(X)|funny(X))))&
((~quiet(fred))<=>(rich(paul)))&
(![X]:((patient... | creative(paul) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6814486047276155431721629
% SZS output start Proof for 6814486047276155431721629
2. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (wise(X0) <~> rich(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (~creative(X0) | happy(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (rich(X0) | ~calm(X0))) [input... | 0 |
Everyone who is both kind and not curious is not quiet and vice versa.
If someone is not calm then someone is either not funny or calm and vice versa.
Everyone who is either quiet or rich is not wise and vice versa.
Everyone who is calm is not humble or not tall and vice versa.
If susan is not rich or not funny then fr... | Fred is not kind. | contradiction | (![X]:((kind(X)&~curious(X))<=>~quiet(X)))&
((?[X]:(~calm(X)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((quiet(X)<~>rich(X))<=>~wise(X)))&
(![X]:(calm(X)<=>(~humble(X)|~tall(X))))&
(((~rich(susan)|~funny(susan)))=>(~calm(fred)))&
(![X]:(brave(X)<=>kind(X)))&
(((happy(alice)&~quiet(alice)))<=>((~tall(alice)|~brave(alic... | ~kind(fred) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2558801087986546165221015
% SZS output start Proof for 2558801087986546165221015
1. ! [X0] : ((~curious(X0) & kind(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((quiet(X0) <~> rich(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~humble(X0))) [input p3]
5. (~funny(sus... | 0 |
Everyone who is both tall and brave is humble and vice versa.
Everyone who is both calm and not tall is both not strong and generous and vice versa.
Everyone who is either not kind or wise is not generous or generous.
If paul is not wise or not rich then someone is not generous or not kind.
Everyone who is both not qui... | Paul is wise. | neutral | (![X]:((tall(X)&brave(X))<=>humble(X)))&
(![X]:((calm(X)&~tall(X))<=>(~strong(X)&generous(X))))&
(![X]:((~kind(X)<~>wise(X))=>(~generous(X)|generous(X))))&
(((~wise(paul)|~rich(paul)))=>(?[X]:((~generous(X)|~kind(X)))))&
(![X]:((~quiet(X)&kind(X))<=>(generous(X)<~>~old(X))))&
(![X]:(old(X)<=>(~wise(X)&strong(X))))&
(![... | wise(paul) | [] | null | 0 |
If someone is not calm then fred is not curious or strong and vice versa.
If john is both old and rich then someone is both not wise and not kind.
Everyone who is not brave is either not patient or tall and vice versa.
Everyone who is not strong is either rich or not old and vice versa.
If john is both not curious and ... | Lucy is not calm. | contradiction | ((?[X]:(~calm(X)))<=>((~curious(fred)|strong(fred))))&
(((old(john)&rich(john)))=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:(~brave(X)<=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&... | ~calm(lucy) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4253462877869147318168189
% SZS output start Proof for 4253462877869147318168189
8. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~calm(X0))) [input p9]
13. ! [X0] : ((generous(X0) | ~brave(X0)) <=> ... | 0 |
If someone is not humble or calm then someone is either not brave or not curious.
If someone is not wise then mary is either brave or not wise and vice versa.
Everyone who is both not curious and not humble is calm and vice versa.
Everyone who is brave is not brave.
If someone is happy then someone is not strong or not... | Susan is not generous. | contradiction | ((?[X]:((~humble(X)|calm(X))))=>(?[X]:((~brave(X)<~>~curious(X)))))&
((?[X]:(~wise(X)))<=>((brave(mary)<~>~wise(mary))))&
(![X]:((~curious(X)&~humble(X))<=>calm(X)))&
(![X]:(brave(X)=>~brave(X)))&
((?[X]:(happy(X)))=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:(~kind(X)<=>(~wise(X)|~calm(X))))&
(![X]:((old(X)<~>tall(X))=>(... | ~generous(susan) | [
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6373329595087394890758078
% SZS output start Proof for 6373329595087394890758078
8. (funny(susan) & ~kind(susan)) <=> ? [X0] : ~humble(X0) [input p7]
12. ! [X0] : ((~generous(X0) & quiet(X0)) <=> (humble(X0) & ~quiet(X0))) [input p11]
17. humble(susan) & ~funny(susan) [input p16]
22. ~gen... | 0 |
If someone is both funny and not humble then someone is happy or curious.
Everyone who is not happy is not rich.
If mary is either not kind or not old then alice is not brave and vice versa.
Everyone who is not funny is not old.
Everyone who is both not patient and humble is both not tall and not creative.
If john is b... | Paul is not creative. | neutral | ((?[X]:((funny(X)&~humble(X))))=>(?[X]:((happy(X)|curious(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
(((~kind(mary)<~>~old(mary)))<=>(~brave(alice)))&
(![X]:(~funny(X)=>~old(X)))&
(![X]:((~patient(X)&humble(X))=>(~tall(X)&~creative(X))))&
(((~tall(john)&patient(john)))<=>((~creative(john)&quiet(john))))&
(((patient(john)&~w... | ~creative(paul) | [] | null | 0 |
Everyone who is both not patient and not quiet is not tall or not rich.
Everyone who is not calm or old is both brave and tall and vice versa.
Everyone who is kind is both not kind and humble.
Everyone who is happy or strong is kind.
Everyone who is happy or funny is both not tall and brave.
Everyone who is old is both... | John is not quiet. | contradiction | (![X]:((~patient(X)&~quiet(X))=>(~tall(X)|~rich(X))))&
(![X]:((~calm(X)|old(X))<=>(brave(X)&tall(X))))&
(![X]:(kind(X)=>(~kind(X)&humble(X))))&
(![X]:((happy(X)|strong(X))=>kind(X)))&
(![X]:((happy(X)|funny(X))=>(~tall(X)&brave(X))))&
(![X]:(old(X)<=>(~patient(X)&patient(X))))&
(![X]:((patient(X)<~>~funny(X))=>patient(... | ~quiet(john) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7891506262262607865722892
% SZS output start Proof for 7891506262262607865722892
3. ! [X0] : (kind(X0) => (humble(X0) & ~kind(X0))) [input p2]
10. ? [X0] : ~quiet(X0) <=> (~kind(john) <~> ~quiet(john)) [input p9]
24. ~quiet(john) [input hypothesis]
28. ! [X0] : ((humble(X0) & ~kind(X0)) |... | 0 |
Everyone who is not generous or not old is quiet or not humble.
If fred is either happy or strong then alice is either not rich or not calm.
Everyone who is either quiet or generous is not calm.
If someone is both not rich and not happy then someone is not rich or humble.
Everyone who is both patient and funny is both ... | Lucy is not happy. | contradiction | (![X]:((~generous(X)|~old(X))=>(quiet(X)|~humble(X))))&
(((happy(fred)<~>strong(fred)))=>((~rich(alice)<~>~calm(alice))))&
(![X]:((quiet(X)<~>generous(X))=>~calm(X)))&
((?[X]:((~rich(X)&~happy(X))))=>(?[X]:((~rich(X)|humble(X)))))&
(![X]:((patient(X)&funny(X))<=>(funny(X)&old(X))))&
(![X]:((~wise(X)&curious(X))=>~quiet... | ~happy(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 660310568335460358538467
% SZS output start Proof for 660310568335460358538467
7. ! [X0] : ((~happy(X0) | tall(X0)) <=> (happy(X0) & curious(X0))) [input p6]
24. ~happy(lucy) [input hypothesis]
51. ! [X0] : (((~happy(X0) | tall(X0)) | (~happy(X0) | ~curious(X0))) & ((happy(X0) & curious(X... | 0 |
If someone is generous then alice is not calm and vice versa. Everyone who is either not creative or funny is both not brave and tall and vice versa. Everyone who is either kind or not generous is both kind and not curious and vice versa. Everyone who is funny is either not wise or not brave. If someone is either brave... | Fred is brave. | entailment | ((?[X]:(generous(X)))<=>(~calm(alice)))&
(![X]:((~creative(X)<~>funny(X))<=>(~brave(X)&tall(X))))&
(![X]:((kind(X)<~>~generous(X))<=>(kind(X)&~curious(X))))&
(![X]:(funny(X)=>(~wise(X)<~>~brave(X))))&
((?[X]:((brave(X)<~>curious(X))))=>(~humble(john)))&
(![X]:((patient(X)|generous(X))=>(quiet(X)&curious(X))))&
((?[X]:(... | brave(fred) | [
"p2",
"p4",
"p5",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 899094342384133970742036
% SZS output start Proof for 899094342384133970742036
3. ! [X0] : ((kind(X0) <~> ~generous(X0)) <=> (~curious(X0) & kind(X0))) [input p2]
5. ? [X0] : (brave(X0) <~> curious(X0)) => ~humble(john) [input p4]
6. ! [X0] : ((generous(X0) | patient(X0)) => (curious(X0) ... | 0 |
Everyone who is not creative is not creative or not quiet. If alice is not humble then paul is either rich or strong. If john is old then susan is both kind and humble. Everyone who is both curious and funny is both brave and kind. Everyone who is patient or not wise is not tall or not generous and vice versa. If someo... | Alice is old. | neutral | (![X]:(~creative(X)=>(~creative(X)|~quiet(X))))&
((~humble(alice))=>((rich(paul)<~>strong(paul))))&
((old(john))=>((kind(susan)&humble(susan))))&
(![X]:((curious(X)&funny(X))=>(brave(X)&kind(X))))&
(![X]:((patient(X)|~wise(X))<=>(~tall(X)|~generous(X))))&
((?[X]:(~happy(X)))=>(?[X]:(kind(X))))&
(![X]:((curious(X)|rich(... | old(alice) | [] | null | 0 |
If alice is wise or quiet then mary is rich and vice versa.
Everyone who is either curious or not curious is both not old and not brave and vice versa.
Everyone who is both wise and brave is not kind and vice versa.
Everyone who is wise or creative is both not quiet and brave and vice versa.
Everyone who is both funny ... | Fred is not wise. | entailment | (((wise(alice)|quiet(alice)))<=>(rich(mary)))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)&~brave(X))))&
(![X]:((wise(X)&brave(X))<=>~kind(X)))&
(![X]:((wise(X)|creative(X))<=>(~quiet(X)&brave(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)<~>quiet(X))))&
((?[X]:((wise(X)<~>old(X))))=>(?[X]:(~rich(X))))&
(((happy(lucy... | ~wise(fred) | [
"p1",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 640412111047902252257000
% SZS output start Proof for 640412111047902252257000
2. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (~brave(X0) & ~old(X0))) [input p1]
4. ! [X0] : ((creative(X0) | wise(X0)) <=> (brave(X0) & ~quiet(X0))) [input p3]
22. wise(fred) [input hypothesis]
31. ! [X0] :... | 0 |
If susan is both rich and happy then someone is brave.
Everyone who is not calm or generous is not kind or tall.
Everyone who is not funny or not quiet is both not patient and not kind and vice versa.
If someone is calm or humble then someone is wise and vice versa.
Everyone who is not tall or tall is generous.
Everyon... | John is not brave. | contradiction | (((rich(susan)&happy(susan)))=>(?[X]:(brave(X))))&
(![X]:((~calm(X)|generous(X))=>(~kind(X)|tall(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(~patient(X)&~kind(X))))&
((?[X]:((calm(X)|humble(X))))<=>(?[X]:(wise(X))))&
(![X]:((~tall(X)|tall(X))=>generous(X)))&
(![X]:(~creative(X)<=>(quiet(X)<~>happy(X))))&
(((creative(lucy)|c... | ~brave(john) | [
"p2",
"p4",
"p8",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 656546044424453502562400
% SZS output start Proof for 656546044424453502562400
3. ! [X0] : ((~quiet(X0) | ~funny(X0)) <=> (~kind(X0) & ~patient(X0))) [input p2]
5. ! [X0] : ((tall(X0) | ~tall(X0)) => generous(X0)) [input p4]
9. ! [X0] : (happy(X0) => ~quiet(X0)) [input p8]
14. ! [X0] : ((... | 0 |
If lucy is either funny or not rich then susan is both calm and brave. If someone is wise then someone is rich or not strong. Everyone who is not strong is both not tall and generous and vice versa. Everyone who is both not funny and rich is not curious or not patient and vice versa. Everyone who is not tall or not hum... | Fred is not humble. | neutral | (((funny(lucy)<~>~rich(lucy)))=>((calm(susan)&brave(susan))))&
((?[X]:(wise(X)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(~strong(X)<=>(~tall(X)&generous(X))))&
(![X]:((~funny(X)&rich(X))<=>(~curious(X)|~patient(X))))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&~rich(X))))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:(humble(X)... | ~humble(fred) | [] | null | 0 |
Everyone who is both quiet and not happy is not tall.
Everyone who is either not generous or not curious is both humble and not patient.
Everyone who is either not funny or generous is happy.
If someone is patient then someone is tall or not kind.
If someone is not humble then alice is brave and vice versa.
If someone ... | Fred is calm. | neutral | (![X]:((quiet(X)&~happy(X))=>~tall(X)))&
(![X]:((~generous(X)<~>~curious(X))=>(humble(X)&~patient(X))))&
(![X]:((~funny(X)<~>generous(X))=>happy(X)))&
((?[X]:(patient(X)))=>(?[X]:((tall(X)|~kind(X)))))&
((?[X]:(~humble(X)))<=>(brave(alice)))&
((?[X]:((~calm(X)&~strong(X))))=>(?[X]:((tall(X)&~kind(X)))))&
((?[X]:((gener... | calm(fred) | [] | null | 0 |
Everyone who is creative is either tall or not rich.
Everyone who is humble or not creative is both strong and not old and vice versa.
Everyone who is either old or not old is both curious and not tall.
Everyone who is either not quiet or not generous is either calm or humble and vice versa.
If someone is both not humb... | Lucy is not rich. | entailment | (![X]:(creative(X)=>(tall(X)<~>~rich(X))))&
(![X]:((humble(X)|~creative(X))<=>(strong(X)&~old(X))))&
(![X]:((old(X)<~>~old(X))=>(curious(X)&~tall(X))))&
(![X]:((~quiet(X)<~>~generous(X))<=>(calm(X)<~>humble(X))))&
((?[X]:((~humble(X)&~funny(X))))=>((kind(paul)<~>curious(paul))))&
((?[X]:((happy(X)&brave(X))))=>(~funny(... | ~rich(lucy) | [
"p2",
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4735744233958414614821571
% SZS output start Proof for 4735744233958414614821571
3. ! [X0] : ((old(X0) <~> ~old(X0)) => (~tall(X0) & curious(X0))) [input p2]
10. ? [X0] : (patient(X0) <~> tall(X0)) <=> ~rich(lucy) [input p9]
14. (patient(mary) <~> ~happy(mary)) => (creative(mary) & happy(... | 0 |
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