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 brave is either not wise or not kind and vice versa.
Everyone who is either not wise or not curious is both kind and strong and vice versa.
Everyone who is calm is both wise and brave.
If someone is not wise or not funny then someone is either not brave or funny and vice versa.
If susan is either not ge... | John is happy. | neutral | (![X]:(brave(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(kind(X)&strong(X))))&
(![X]:(calm(X)=>(wise(X)&brave(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>(?[X]:((~brave(X)<~>funny(X)))))&
(((~generous(susan)<~>strong(susan)))<=>(?[X]:((patient(X)<~>~funny(X)))))&
((?[X]:((~curious(X)|brave(X))))=>((~ha... | happy(john) | [] | null | 0 |
Everyone who is both rich and not happy is not creative or not brave and vice versa.
Everyone who is tall is patient or not quiet and vice versa.
If mary is not calm then someone is either not tall or happy.
Everyone who is patient or rich is rich.
If susan is funny or creative then someone is creative or not patient.
... | Alice is not patient. | entailment | (![X]:((rich(X)&~happy(X))<=>(~creative(X)|~brave(X))))&
(![X]:(tall(X)<=>(patient(X)|~quiet(X))))&
((~calm(mary))=>(?[X]:((~tall(X)<~>happy(X)))))&
(![X]:((patient(X)|rich(X))=>rich(X)))&
(((funny(susan)|creative(susan)))=>(?[X]:((creative(X)|~patient(X)))))&
(![X]:((humble(X)&rich(X))<=>generous(X)))&
((?[X]:(~strong... | ~patient(alice) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4262325641477932995993685
% SZS output start Proof for 4262325641477932995993685
2. ! [X0] : (tall(X0) <=> (~quiet(X0) | patient(X0))) [input p1]
10. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> generous(X0)) [input p9]
24. patient(alice) [input hypothesis]
39. ! [X0] : ((tall(X0) | (quiet(X... | 0 |
Everyone who is not tall is either not wise or not generous and vice versa.
Everyone who is either calm or brave is either not strong or creative and vice versa.
Everyone who is either not calm or strong is not generous.
If someone is both not calm and not brave then lucy is either not brave or quiet.
If alice is rich ... | Lucy is creative. | entailment | (![X]:(~tall(X)<=>(~wise(X)<~>~generous(X))))&
(![X]:((calm(X)<~>brave(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~calm(X)<~>strong(X))=>~generous(X)))&
((?[X]:((~calm(X)&~brave(X))))=>((~brave(lucy)<~>quiet(lucy))))&
(((rich(alice)|patient(alice)))<=>((brave(mary)&old(mary))))&
(![X]:((kind(X)&~humble(X))=>wise(X)))&... | creative(lucy) | [
"p1",
"p3",
"p7",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 330162383973336357304828
% SZS output start Proof for 330162383973336357304828
2. ! [X0] : ((calm(X0) <~> brave(X0)) <=> (~strong(X0) <~> creative(X0))) [input p1]
4. ? [X0] : (~brave(X0) & ~calm(X0)) => (~brave(lucy) <~> quiet(lucy)) [input p3]
8. ! [X0] : ((~brave(X0) <~> ~strong(X0)) <... | 0 |
Everyone who is strong is either old or patient. If mary is both not humble and brave then someone is both rich and not creative and vice versa. If john is not strong then lucy is not rich or tall. Everyone who is either humble or brave is either not strong or calm. If someone is not humble then susan is either not ric... | Mary is not calm. | contradiction | (![X]:(strong(X)=>(old(X)<~>patient(X))))&
(((~humble(mary)&brave(mary)))<=>(?[X]:((rich(X)&~creative(X)))))&
((~strong(john))=>((~rich(lucy)|tall(lucy))))&
(![X]:((humble(X)<~>brave(X))=>(~strong(X)<~>calm(X))))&
((?[X]:(~humble(X)))<=>((~rich(susan)<~>creative(susan))))&
(![X]:((calm(X)&~quiet(X))<=>(~calm(X)|funny(X... | ~calm(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1827258690363283724745055
% SZS output start Proof for 1827258690363283724745055
6. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (funny(X0) | ~calm(X0))) [input p5]
23. ~calm(mary) [input hypothesis]
47. ! [X0] : (((~quiet(X0) & calm(X0)) | (~funny(X0) & calm(X0))) & ((funny(X0) | ~calm(X0)) | (... | 0 |
If someone is creative or not creative then someone is happy or wise and vice versa. Everyone who is not old or not kind is both not patient and funny and vice versa. If paul is either not wise or not curious then someone is not strong or creative and vice versa. Everyone who is either brave or curious is both not calm... | Susan is not kind. | contradiction | ((?[X]:((creative(X)|~creative(X))))<=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((~old(X)|~kind(X))<=>(~patient(X)&funny(X))))&
(((~wise(paul)<~>~curious(paul)))<=>(?[X]:((~strong(X)|creative(X)))))&
(![X]:((brave(X)<~>curious(X))<=>(~calm(X)&happy(X))))&
(((~brave(paul)|~patient(paul)))<=>(~calm(mary)))&
(![X]:((generous(X... | ~kind(susan) | [
"p1",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1575175574083186542863898
% SZS output start Proof for 1575175574083186542863898
2. ! [X0] : ((~kind(X0) | ~old(X0)) <=> (funny(X0) & ~patient(X0))) [input p1]
24. ~funny(susan) [input p23]
25. ~kind(susan) [input hypothesis]
40. ! [X0] : (((~kind(X0) | ~old(X0)) | (~funny(X0) | patient(X... | 0 |
If mary is both creative and patient then someone is either not happy or funny.
Everyone who is either not creative or funny is both not rich and happy.
Everyone who is patient is quiet.
Everyone who is not humble or old is either calm or not strong.
If alice is both happy and tall then john is either calm or not gener... | John is calm. | neutral | (((creative(mary)&patient(mary)))=>(?[X]:((~happy(X)<~>funny(X)))))&
(![X]:((~creative(X)<~>funny(X))=>(~rich(X)&happy(X))))&
(![X]:(patient(X)=>quiet(X)))&
(![X]:((~humble(X)|old(X))=>(calm(X)<~>~strong(X))))&
(((happy(alice)&tall(alice)))=>((calm(john)<~>~generous(john))))&
(![X]:((calm(X)|~humble(X))=>~curious(X)))&... | calm(john) | [] | null | 0 |
If someone is not quiet or rich then someone is not brave or not happy.
If someone is not strong or calm then lucy is both brave and not curious and vice versa.
Everyone who is both generous and not happy is not quiet and vice versa.
If paul is not happy then john is not humble or patient.
Everyone who is not quiet or ... | Lucy is kind. | neutral | ((?[X]:((~quiet(X)|rich(X))))=>(?[X]:((~brave(X)|~happy(X)))))&
((?[X]:((~strong(X)|calm(X))))<=>((brave(lucy)&~curious(lucy))))&
(![X]:((generous(X)&~happy(X))<=>~quiet(X)))&
((~happy(paul))=>((~humble(john)|patient(john))))&
(![X]:((~quiet(X)|brave(X))=>(humble(X)&generous(X))))&
((?[X]:(~generous(X)))=>((brave(susan... | kind(lucy) | [] | null | 0 |
If someone is not strong or not quiet then alice is both patient and wise. Everyone who is either creative or brave is not happy or not funny and vice versa. If john is strong then paul is rich and vice versa. If john is either not generous or not strong then susan is either not generous or rich and vice versa. If susa... | John is not humble. | neutral | ((?[X]:((~strong(X)|~quiet(X))))=>((patient(alice)&wise(alice))))&
(![X]:((creative(X)<~>brave(X))<=>(~happy(X)|~funny(X))))&
((strong(john))<=>(rich(paul)))&
(((~generous(john)<~>~strong(john)))<=>((~generous(susan)<~>rich(susan))))&
(((humble(susan)|~quiet(susan)))<=>((happy(fred)<~>~old(fred))))&
(![X]:((kind(X)<~>~... | ~humble(john) | [] | null | 0 |
If someone is both curious and not strong then someone is kind.
Everyone who is not generous or patient is both wise and not wise and vice versa.
If someone is quiet or rich then someone is either curious or not rich and vice versa.
If someone is either not patient or not tall then someone is either not rich or creativ... | Fred is not strong. | contradiction | ((?[X]:((curious(X)&~strong(X))))=>(?[X]:(kind(X))))&
(![X]:((~generous(X)|patient(X))<=>(wise(X)&~wise(X))))&
((?[X]:((quiet(X)|rich(X))))<=>(?[X]:((curious(X)<~>~rich(X)))))&
((?[X]:((~patient(X)<~>~tall(X))))<=>(?[X]:((~rich(X)<~>creative(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>(~quiet(X)|patient(X))))&
(![X]:(~tal... | ~strong(fred) | [
"p1",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7466609887304882953345236
% SZS output start Proof for 7466609887304882953345236
2. ! [X0] : ((patient(X0) | ~generous(X0)) <=> (~wise(X0) & wise(X0))) [input p1]
10. ! [X0] : ((happy(X0) <~> ~brave(X0)) <=> (~happy(X0) | humble(X0))) [input p9]
13. ! [X0] : (~patient(X0) => (creative(X0)... | 0 |
If fred is not generous or wise then someone is not wise or creative and vice versa.
If mary is both curious and not tall then someone is not old or not patient.
Everyone who is both not kind and old is either happy or patient.
If someone is patient or quiet then paul is not creative and vice versa.
Everyone who is not... | Lucy is not wise. | entailment | (((~generous(fred)|wise(fred)))<=>(?[X]:((~wise(X)|creative(X)))))&
(((curious(mary)&~tall(mary)))=>(?[X]:((~old(X)|~patient(X)))))&
(![X]:((~kind(X)&old(X))=>(happy(X)<~>patient(X))))&
((?[X]:((patient(X)|quiet(X))))<=>(~creative(paul)))&
(![X]:((~patient(X)|strong(X))<=>(~generous(X)&generous(X))))&
(((humble(lucy)|s... | ~wise(lucy) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6310915783784631269513660
% SZS output start Proof for 6310915783784631269513660
16. ! [X0] : ((~wise(X0) <~> ~happy(X0)) <=> happy(X0)) [input p15]
20. wise(lucy) [input hypothesis]
57. ! [X0] : ((((happy(X0) | wise(X0)) & (~happy(X0) | ~wise(X0))) | ~happy(X0)) & (happy(X0) | ((~wise(X0... | 0 |
Everyone who is both strong and not creative is generous or not quiet. If someone is funny or not generous then john is both strong and not creative. If susan is calm then someone is not humble and vice versa. Everyone who is either not rich or not old is old or kind. Everyone who is not generous is happy or generous a... | John is not curious. | contradiction | (![X]:((strong(X)&~creative(X))=>(generous(X)|~quiet(X))))&
((?[X]:((funny(X)|~generous(X))))=>((strong(john)&~creative(john))))&
((calm(susan))<=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X... | ~curious(john) | [
"p0",
"p1",
"p4",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 488837787195804306608067
% SZS output start Proof for 488837787195804306608067
1. ! [X0] : ((~creative(X0) & strong(X0)) => (~quiet(X0) | generous(X0))) [input p0]
2. ? [X0] : (~generous(X0) | funny(X0)) => (~creative(john) & strong(john)) [input p1]
5. ! [X0] : (~generous(X0) <=> (genero... | 0 |
If lucy is creative then mary is kind and vice versa.
If lucy is not brave or not kind then susan is not curious or quiet.
Everyone who is both generous and tall is both not old and old.
Everyone who is both not strong and creative is not old or generous and vice versa.
If someone is either not quiet or not strong then... | Mary is not kind. | entailment | ((creative(lucy))<=>(kind(mary)))&
(((~brave(lucy)|~kind(lucy)))=>((~curious(susan)|quiet(susan))))&
(![X]:((generous(X)&tall(X))=>(~old(X)&old(X))))&
(![X]:((~strong(X)&creative(X))<=>(~old(X)|generous(X))))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>(~strong(john)))&
((tall(susan))<=>(?[X]:((creative(X)|happy(X)))))&
(![X... | ~kind(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5381942947605230560765762
% SZS output start Proof for 5381942947605230560765762
7. ! [X0] : ((~kind(X0) <~> ~calm(X0)) <=> calm(X0)) [input p6]
25. kind(mary) [input hypothesis]
47. ! [X0] : ((((calm(X0) | kind(X0)) & (~calm(X0) | ~kind(X0))) | ~calm(X0)) & (calm(X0) | ((~kind(X0) | calm... | 0 |
If someone is either humble or not rich then susan is not patient and vice versa.
If someone is not quiet or generous then alice is not happy or wise.
Everyone who is humble is calm.
Everyone who is patient is both strong and old.
If someone is both quiet and not quiet then someone is both wise and not curious and vice... | John is generous. | neutral | ((?[X]:((humble(X)<~>~rich(X))))<=>(~patient(susan)))&
((?[X]:((~quiet(X)|generous(X))))=>((~happy(alice)|wise(alice))))&
(![X]:(humble(X)=>calm(X)))&
(![X]:(patient(X)=>(strong(X)&old(X))))&
((?[X]:((quiet(X)&~quiet(X))))<=>(?[X]:((wise(X)&~curious(X)))))&
(((strong(susan)<~>patient(susan)))=>(calm(john)))&
((?[X]:((t... | generous(john) | [] | null | 0 |
If alice is either not generous or not strong then someone is either tall or not quiet and vice versa.
If lucy is strong then fred is patient.
Everyone who is not calm is not tall and vice versa.
Everyone who is both curious and not generous is either curious or creative and vice versa.
Everyone who is both not humble ... | Lucy is not creative. | contradiction | (((~generous(alice)<~>~strong(alice)))<=>(?[X]:((tall(X)<~>~quiet(X)))))&
((strong(lucy))=>(patient(fred)))&
(![X]:(~calm(X)<=>~tall(X)))&
(![X]:((curious(X)&~generous(X))<=>(curious(X)<~>creative(X))))&
(![X]:((~humble(X)&~tall(X))<=>tall(X)))&
(((humble(alice)<~>brave(alice)))=>((~old(susan)<~>~happy(susan))))&
(![X]... | ~creative(lucy) | [
"p2",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3115290451725383579443562
% SZS output start Proof for 3115290451725383579443562
3. ! [X0] : (~calm(X0) <=> ~tall(X0)) [input p2]
5. ! [X0] : ((~tall(X0) & ~humble(X0)) <=> tall(X0)) [input p4]
7. ! [X0] : ((old(X0) & calm(X0)) <=> ~creative(X0)) [input p6]
24. ~creative(lucy) [input hypo... | 0 |
Everyone who is both brave and not wise is old and vice versa. If someone is not brave or funny then susan is either happy or not calm and vice versa. If someone is either not calm or not brave then someone is happy and vice versa. If someone is not wise or wise then lucy is both strong and not tall. Everyone who is ca... | Susan is not calm. | entailment | (![X]:((brave(X)&~wise(X))<=>old(X)))&
((?[X]:((~brave(X)|funny(X))))<=>((happy(susan)<~>~calm(susan))))&
((?[X]:((~calm(X)<~>~brave(X))))<=>(?[X]:(happy(X))))&
((?[X]:((~wise(X)|wise(X))))=>((strong(lucy)&~tall(lucy))))&
(![X]:((calm(X)|wise(X))<=>(~brave(X)&~humble(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((~brave(X)<~>~tal... | ~calm(susan) | [
"p0",
"p1",
"p4",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3298822397247505206705558
% SZS output start Proof for 3298822397247505206705558
1. ! [X0] : ((~wise(X0) & brave(X0)) <=> old(X0)) [input p0]
2. ? [X0] : (funny(X0) | ~brave(X0)) <=> (happy(susan) <~> ~calm(susan)) [input p1]
5. ! [X0] : ((wise(X0) | calm(X0)) <=> (~humble(X0) & ~brave(X0... | 0 |
Everyone who is not humble or not old is either not patient or not rich. Everyone who is quiet or old is not brave and vice versa. If someone is wise then someone is either strong or not brave. If john is both funny and rich then someone is not generous and vice versa. Everyone who is brave or not tall is both happy an... | Alice is tall. | contradiction | (![X]:((~humble(X)|~old(X))=>(~patient(X)<~>~rich(X))))&
(![X]:((quiet(X)|old(X))<=>~brave(X)))&
((?[X]:(wise(X)))=>(?[X]:((strong(X)<~>~brave(X)))))&
(((funny(john)&rich(john)))<=>(?[X]:(~generous(X))))&
(![X]:((brave(X)|~tall(X))=>(happy(X)&~wise(X))))&
(![X]:((~funny(X)|brave(X))=>(creative(X)<~>~quiet(X))))&
(![X]:... | tall(alice) | [
"p1",
"p4",
"p11",
"p13",
"p14",
"p15",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2767585904871089523623824
% SZS output start Proof for 2767585904871089523623824
2. ! [X0] : ((old(X0) | quiet(X0)) <=> ~brave(X0)) [input p1]
5. ! [X0] : ((~tall(X0) | brave(X0)) => (~wise(X0) & happy(X0))) [input p4]
12. ! [X0] : ((funny(X0) <~> ~calm(X0)) => (~quiet(X0) <~> brave(X0)))... | 0 |
Everyone who is humble or not calm is not quiet or not tall.
Everyone who is not creative or creative is tall or quiet and vice versa.
Everyone who is both not curious and wise is either not humble or not brave.
Everyone who is both funny and not old is both not creative and not quiet and vice versa.
If someone is not ... | Fred is strong. | contradiction | (![X]:((humble(X)|~calm(X))=>(~quiet(X)|~tall(X))))&
(![X]:((~creative(X)|creative(X))<=>(tall(X)|quiet(X))))&
(![X]:((~curious(X)&wise(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((funny(X)&~old(X))<=>(~creative(X)&~quiet(X))))&
((?[X]:((~rich(X)|~calm(X))))<=>((~old(susan)&old(susan))))&
(((~rich(fred)&happy(fred)))<=>(?[... | strong(fred) | [
"p0",
"p1",
"p4",
"p5",
"p7",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8142300248359480860827712
% SZS output start Proof for 8142300248359480860827712
1. ! [X0] : ((~calm(X0) | humble(X0)) => (~tall(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | tall(X0))) [input p1]
5. ? [X0] : (~calm(X0) | ~rich(X0)) <=> (old(su... | 0 |
Everyone who is not rich is either not wise or not creative and vice versa.
Everyone who is either not quiet or kind is not old or funny and vice versa.
If someone is either strong or patient then someone is not curious.
If fred is calm or quiet then alice is both kind and not happy and vice versa.
Everyone who is eith... | Fred is not tall. | entailment | (![X]:(~rich(X)<=>(~wise(X)<~>~creative(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(~old(X)|funny(X))))&
((?[X]:((strong(X)<~>patient(X))))=>(?[X]:(~curious(X))))&
(((calm(fred)|quiet(fred)))<=>((kind(alice)&~happy(alice))))&
(![X]:((~generous(X)<~>~quiet(X))=>(happy(X)<~>~tall(X))))&
(![X]:(~quiet(X)<=>(calm(X)|~kind(X))))... | ~tall(fred) | [
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5227208153240926829893218
% SZS output start Proof for 5227208153240926829893218
6. ! [X0] : (~quiet(X0) <=> (~kind(X0) | calm(X0))) [input p5]
8. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> (~creative(X0) & old(X0))) [input p7]
13. ? [X0] : (old(X0) | tall(X0)) <=> (creative(fred) & calm(fr... | 0 |
Everyone who is both not humble and not happy is both not curious and patient and vice versa.
Everyone who is not brave or strong is not kind.
Everyone who is not generous is not creative or not rich and vice versa.
If paul is kind then fred is not curious or not humble and vice versa.
If someone is both not calm and n... | Fred is not wise. | contradiction | (![X]:((~humble(X)&~happy(X))<=>(~curious(X)&patient(X))))&
(![X]:((~brave(X)|strong(X))=>~kind(X)))&
(![X]:(~generous(X)<=>(~creative(X)|~rich(X))))&
((kind(paul))<=>((~curious(fred)|~humble(fred))))&
((?[X]:((~calm(X)&~funny(X))))<=>((~curious(paul)|~funny(paul))))&
(![X]:((~generous(X)&quiet(X))<=>(~wise(X)|~happy(X... | ~wise(fred) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2646637809125986964219818
% SZS output start Proof for 2646637809125986964219818
6. ! [X0] : ((quiet(X0) & ~generous(X0)) <=> (~happy(X0) | ~wise(X0))) [input p5]
13. ! [X0] : ((~wise(X0) | ~old(X0)) <=> generous(X0)) [input p12]
22. ~wise(fred) [input hypothesis]
42. ! [X0] : (((quiet(X0... | 0 |
Everyone who is either generous or not brave is generous. Everyone who is either funny or wise is not patient and vice versa. If mary is not generous or brave then john is not old or not creative. If john is either not patient or quiet then someone is both not happy and not rich and vice versa. Everyone who is wise is ... | John is old. | entailment | (![X]:((generous(X)<~>~brave(X))=>generous(X)))&
(![X]:((funny(X)<~>wise(X))<=>~patient(X)))&
(((~generous(mary)|brave(mary)))=>((~old(john)|~creative(john))))&
(((~patient(john)<~>quiet(john)))<=>(?[X]:((~happy(X)&~rich(X)))))&
(![X]:(wise(X)=>(~funny(X)<~>~wise(X))))&
(![X]:((calm(X)<~>brave(X))=>wise(X)))&
(((brave(... | old(john) | [
"p4",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4918757859325820158240733
% SZS output start Proof for 4918757859325820158240733
5. ! [X0] : (wise(X0) => (~funny(X0) <~> ~wise(X0))) [input p4]
12. ! [X0] : (~rich(X0) => (creative(X0) & old(X0))) [input p11]
14. ~kind(alice) <=> ? [X0] : (~wise(X0) <~> old(X0)) [input p13]
15. ! [X0] : ... | 0 |
If fred is creative or curious then someone is curious.
If someone is rich or strong then john is not happy and vice versa.
If alice is quiet then someone is not old.
Everyone who is wise is curious or not tall.
Everyone who is strong is not humble.
Everyone who is not calm or not curious is both not brave and rich.
If... | Lucy is not rich. | contradiction | (((creative(fred)|curious(fred)))=>(?[X]:(curious(X))))&
((?[X]:((rich(X)|strong(X))))<=>(~happy(john)))&
((quiet(alice))=>(?[X]:(~old(X))))&
(![X]:(wise(X)=>(curious(X)|~tall(X))))&
(![X]:(strong(X)=>~humble(X)))&
(![X]:((~calm(X)|~curious(X))=>(~brave(X)&rich(X))))&
((~strong(paul))<=>((~generous(fred)&~rich(fred))))... | ~rich(lucy) | [
"p5",
"p7",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 20209124330380850979934
% SZS output start Proof for 20209124330380850979934
6. ! [X0] : ((~curious(X0) | ~calm(X0)) => (rich(X0) & ~brave(X0))) [input p5]
8. ! [X0] : (rich(X0) <=> (generous(X0) <~> ~happy(X0))) [input p7]
11. rich(lucy) <=> (~happy(fred) | calm(fred)) [input p10]
14. ! ... | 0 |
Everyone who is either not rich or quiet is not strong or wise and vice versa. If someone is either not quiet or kind then paul is both not quiet and not kind. Everyone who is not brave or not patient is not patient. Everyone who is not kind is both not patient and quiet and vice versa. If someone is not funny or not t... | Alice is not patient. | entailment | (![X]:((~rich(X)<~>quiet(X))<=>(~strong(X)|wise(X))))&
((?[X]:((~quiet(X)<~>kind(X))))=>((~quiet(paul)&~kind(paul))))&
(![X]:((~brave(X)|~patient(X))=>~patient(X)))&
(![X]:(~kind(X)<=>(~patient(X)&quiet(X))))&
((?[X]:((~funny(X)|~tall(X))))<=>((humble(alice)|creative(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~calm(X)... | ~patient(alice) | [
"p1",
"p2",
"p3",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3410177502458920997289693
% SZS output start Proof for 3410177502458920997289693
2. ? [X0] : (~quiet(X0) <~> kind(X0)) => (~kind(paul) & ~quiet(paul)) [input p1]
3. ! [X0] : ((~patient(X0) | ~brave(X0)) => ~patient(X0)) [input p2]
4. ! [X0] : (~kind(X0) <=> (quiet(X0) & ~patient(X0))) [in... | 0 |
If mary is both not tall and not kind then someone is happy or old. If someone is either not rich or not calm then mary is not humble or calm. Everyone who is not generous is both tall and happy. Everyone who is quiet is either not humble or curious and vice versa. Everyone who is curious or not happy is both generous ... | Susan is rich. | contradiction | (((~tall(mary)&~kind(mary)))=>(?[X]:((happy(X)|old(X)))))&
((?[X]:((~rich(X)<~>~calm(X))))=>((~humble(mary)|calm(mary))))&
(![X]:(~generous(X)=>(tall(X)&happy(X))))&
(![X]:(quiet(X)<=>(~humble(X)<~>curious(X))))&
(![X]:((curious(X)|~happy(X))<=>(generous(X)&tall(X))))&
(![X]:((~humble(X)<~>generous(X))<=>(old(X)|genero... | rich(susan) | [
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5788081634682414303457296
% SZS output start Proof for 5788081634682414303457296
3. ! [X0] : (~generous(X0) => (happy(X0) & tall(X0))) [input p2]
4. ! [X0] : (quiet(X0) <=> (~humble(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((~happy(X0) | curious(X0)) <=> (tall(X0) & generous(X0))) [in... | 0 |
If fred is both not patient and generous then someone is not kind or quiet and vice versa. If john is creative then someone is not calm or tall. Everyone who is both not rich and strong is either not strong or kind and vice versa. Everyone who is either not quiet or happy is not wise or generous. Everyone who is both o... | Fred is not rich. | contradiction | (((~patient(fred)&generous(fred)))<=>(?[X]:((~kind(X)|quiet(X)))))&
((creative(john))=>(?[X]:((~calm(X)|tall(X)))))&
(![X]:((~rich(X)&strong(X))<=>(~strong(X)<~>kind(X))))&
(![X]:((~quiet(X)<~>happy(X))=>(~wise(X)|generous(X))))&
(![X]:((old(X)&happy(X))<=>~wise(X)))&
(![X]:(~quiet(X)=>~wise(X)))&
((~tall(fred))=>(?[X]... | ~rich(fred) | [
"p0",
"p2",
"p4",
"p5",
"p8",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2704776305005846557864138
% SZS output start Proof for 2704776305005846557864138
1. (generous(fred) & ~patient(fred)) <=> ? [X0] : (quiet(X0) | ~kind(X0)) [input p0]
3. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (~strong(X0) <~> kind(X0))) [input p2]
5. ! [X0] : ((happy(X0) & old(X0)) <=> ~wi... | 0 |
If someone is either not old or not happy then fred is calm and vice versa.
Everyone who is wise is not brave.
If susan is not kind then someone is brave.
Everyone who is brave is either kind or not curious and vice versa.
If paul is not creative then someone is both not patient and calm and vice versa.
Everyone who is... | Susan is happy. | entailment | ((?[X]:((~old(X)<~>~happy(X))))<=>(calm(fred)))&
(![X]:(wise(X)=>~brave(X)))&
((~kind(susan))=>(?[X]:(brave(X))))&
(![X]:(brave(X)<=>(kind(X)<~>~curious(X))))&
((~creative(paul))<=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:((quiet(X)&funny(X))<=>(curious(X)|calm(X))))&
(![X]:((~funny(X)|calm(X))<=>~quiet(X)))&
(![X]:(old(... | happy(susan) | [
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3653762397956105437777126
% SZS output start Proof for 3653762397956105437777126
6. ! [X0] : ((funny(X0) & quiet(X0)) <=> (calm(X0) | curious(X0))) [input p5]
7. ! [X0] : ((calm(X0) | ~funny(X0)) <=> ~quiet(X0)) [input p6]
9. ! [X0] : (funny(X0) <=> (tall(X0) & ~happy(X0))) [input p8]
10.... | 0 |
If someone is not kind or not brave then lucy is both not generous and not strong and vice versa.
If someone is either not funny or curious then paul is not funny or not calm.
If fred is funny or tall then paul is both not generous and strong and vice versa.
Everyone who is both not creative and kind is not kind and vi... | Paul is not kind. | contradiction | ((?[X]:((~kind(X)|~brave(X))))<=>((~generous(lucy)&~strong(lucy))))&
((?[X]:((~funny(X)<~>curious(X))))=>((~funny(paul)|~calm(paul))))&
(((funny(fred)|tall(fred)))<=>((~generous(paul)&strong(paul))))&
(![X]:((~creative(X)&kind(X))<=>~kind(X)))&
(![X]:(~rich(X)<=>(tall(X)|~happy(X))))&
((?[X]:((~generous(X)&~humble(X)))... | ~kind(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3070636743720846698919781
% SZS output start Proof for 3070636743720846698919781
4. ! [X0] : ((kind(X0) & ~creative(X0)) <=> ~kind(X0)) [input p3]
23. ~kind(paul) [input hypothesis]
38. ! [X0] : (((kind(X0) & ~creative(X0)) | kind(X0)) & (~kind(X0) | (~kind(X0) | creative(X0)))) [nnf tran... | 0 |
If someone is not generous or rich then someone is happy or tall.
Everyone who is either not strong or humble is both not humble and humble.
If susan is rich then someone is strong and vice versa.
If susan is either not happy or not curious then someone is either creative or not quiet and vice versa.
Everyone who is ki... | Susan is not patient. | entailment | ((?[X]:((~generous(X)|rich(X))))=>(?[X]:((happy(X)|tall(X)))))&
(![X]:((~strong(X)<~>humble(X))=>(~humble(X)&humble(X))))&
((rich(susan))<=>(?[X]:(strong(X))))&
(((~happy(susan)<~>~curious(susan)))<=>(?[X]:((creative(X)<~>~quiet(X)))))&
(![X]:((kind(X)|~happy(X))=>(~old(X)<~>humble(X))))&
(![X]:((quiet(X)|old(X))=>(cal... | ~patient(susan) | [
"p5",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3613203703510031905358049
% SZS output start Proof for 3613203703510031905358049
6. ! [X0] : ((old(X0) | quiet(X0)) => (~patient(X0) | calm(X0))) [input p5]
7. ! [X0] : ((calm(X0) | funny(X0)) <=> ~patient(X0)) [input p6]
10. ! [X0] : ((~calm(X0) | ~old(X0)) <=> old(X0)) [input p9]
24. pa... | 0 |
Everyone who is either rich or not creative is either humble or not wise and vice versa.
If mary is both rich and patient then john is creative or old and vice versa.
Everyone who is not tall or not patient is rich and vice versa.
Everyone who is funny or creative is old or not humble.
If lucy is rich then fred is curi... | John is generous. | contradiction | (![X]:((rich(X)<~>~creative(X))<=>(humble(X)<~>~wise(X))))&
(((rich(mary)&patient(mary)))<=>((creative(john)|old(john))))&
(![X]:((~tall(X)|~patient(X))<=>rich(X)))&
(![X]:((funny(X)|creative(X))=>(old(X)|~humble(X))))&
((rich(lucy))=>((curious(fred)|tall(fred))))&
((?[X]:((~kind(X)|happy(X))))<=>(~rich(mary)))&
(((hap... | generous(john) | [
"p1",
"p5",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6949034532715199856958335
% SZS output start Proof for 6949034532715199856958335
2. (patient(mary) & rich(mary)) <=> (old(john) | creative(john)) [input p1]
6. ? [X0] : (happy(X0) | ~kind(X0)) <=> ~rich(mary) [input p5]
18. ? [X0] : happy(X0) [input p17]
20. ~generous(john) <~> creative(j... | 0 |
Everyone who is tall is not calm.
Everyone who is calm is either calm or humble and vice versa.
If someone is not quiet then fred is wise or not calm and vice versa.
If someone is both kind and not rich then someone is either not funny or not rich.
If fred is both calm and wise then someone is not creative or not quiet... | Paul is not rich. | neutral | (![X]:(tall(X)=>~calm(X)))&
(![X]:(calm(X)<=>(calm(X)<~>humble(X))))&
((?[X]:(~quiet(X)))<=>((wise(fred)|~calm(fred))))&
((?[X]:((kind(X)&~rich(X))))=>(?[X]:((~funny(X)<~>~rich(X)))))&
(((calm(fred)&wise(fred)))=>(?[X]:((~creative(X)|~quiet(X)))))&
(![X]:((brave(X)|~wise(X))<=>curious(X)))&
(![X]:((rich(X)<~>~kind(X))=... | ~rich(paul) | [] | null | 0 |
Everyone who is either not creative or not old is not generous.
If someone is old then someone is both not kind and not creative and vice versa.
Everyone who is either old or generous is generous.
Everyone who is not calm or not funny is either creative or generous.
Everyone who is both not creative and old is either p... | John is not old. | entailment | (![X]:((~creative(X)<~>~old(X))=>~generous(X)))&
((?[X]:(old(X)))<=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:((old(X)<~>generous(X))=>generous(X)))&
(![X]:((~calm(X)|~funny(X))=>(creative(X)<~>generous(X))))&
(![X]:((~creative(X)&old(X))<=>(patient(X)<~>brave(X))))&
(![X]:(quiet(X)=>rich(X)))&
(![X]:((creative(X)|patie... | ~old(john) | [
"p0",
"p2",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 190128794134609352880135
% SZS output start Proof for 190128794134609352880135
1. ! [X0] : ((~creative(X0) <~> ~old(X0)) => ~generous(X0)) [input p0]
3. ! [X0] : ((old(X0) <~> generous(X0)) => generous(X0)) [input p2]
4. ! [X0] : ((~funny(X0) | ~calm(X0)) => (creative(X0) <~> generous(X0)... | 0 |
If lucy is both quiet and tall then someone is either not patient or not curious and vice versa. Everyone who is happy is calm or quiet and vice versa. If someone is curious or not rich then someone is not funny and vice versa. If someone is both not strong and tall then susan is kind and vice versa. Everyone who is ol... | Fred is wise. | neutral | (((quiet(lucy)&tall(lucy)))<=>(?[X]:((~patient(X)<~>~curious(X)))))&
(![X]:(happy(X)<=>(calm(X)|quiet(X))))&
((?[X]:((curious(X)|~rich(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((~strong(X)&tall(X))))<=>(kind(susan)))&
(![X]:(old(X)=>wise(X)))&
(((~strong(john)|brave(john)))=>((~patient(lucy)|rich(lucy))))&
(![X]:((patient(X... | wise(fred) | [] | null | 0 |
Everyone who is not humble is generous. If someone is either tall or not funny then alice is wise or not patient. Everyone who is both not curious and humble is both not generous and brave and vice versa. If someone is either not brave or not tall then lucy is either not kind or not patient. If someone is curious then ... | Lucy is brave. | neutral | (![X]:(~humble(X)=>generous(X)))&
((?[X]:((tall(X)<~>~funny(X))))=>((wise(alice)|~patient(alice))))&
(![X]:((~curious(X)&humble(X))<=>(~generous(X)&brave(X))))&
((?[X]:((~brave(X)<~>~tall(X))))=>((~kind(lucy)<~>~patient(lucy))))&
((?[X]:(curious(X)))<=>((funny(fred)&~curious(fred))))&
(((creative(fred)|~strong(fred)))<... | brave(lucy) | [] | null | 0 |
Everyone who is not rich is not brave or strong.
If someone is not brave then lucy is either not kind or not strong.
Everyone who is not humble is both not curious and not old.
If someone is both tall and not brave then someone is both wise and rich and vice versa.
Everyone who is not quiet or not wise is both curious ... | Mary is not generous. | neutral | (![X]:(~rich(X)=>(~brave(X)|strong(X))))&
((?[X]:(~brave(X)))=>((~kind(lucy)<~>~strong(lucy))))&
(![X]:(~humble(X)=>(~curious(X)&~old(X))))&
((?[X]:((tall(X)&~brave(X))))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((~quiet(X)|~wise(X))=>(curious(X)&~old(X))))&
(((~generous(mary)|~strong(mary)))<=>(?[X]:((~old(X)&~funny(X))))... | ~generous(mary) | [] | null | 0 |
If someone is quiet then lucy is either not strong or not rich.
If someone is either not patient or not quiet then someone is curious.
Everyone who is patient is both not tall and happy.
Everyone who is not rich is not brave or not creative and vice versa.
If someone is either tall or patient then someone is either hap... | Fred is not creative. | entailment | ((?[X]:(quiet(X)))=>((~strong(lucy)<~>~rich(lucy))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>(?[X]:(curious(X))))&
(![X]:(patient(X)=>(~tall(X)&happy(X))))&
(![X]:(~rich(X)<=>(~brave(X)|~creative(X))))&
((?[X]:((tall(X)<~>patient(X))))<=>(?[X]:((happy(X)<~>curious(X)))))&
(![X]:((creative(X)|~creative(X))<=>(kind(X)|~qui... | ~creative(fred) | [
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6415491393215643138318663
% SZS output start Proof for 6415491393215643138318663
11. ! [X0] : ((~calm(X0) | kind(X0)) => ~old(X0)) [input p10]
12. ! [X0] : (~old(X0) <=> (~strong(X0) & ~creative(X0))) [input p11]
16. ! [X0] : ((~old(X0) <~> ~kind(X0)) => kind(X0)) [input p15]
24. creative... | 0 |
If mary is curious or strong then paul is both not quiet and not brave and vice versa. Everyone who is not rich is humble or generous and vice versa. Everyone who is both old and humble is not quiet. Everyone who is both not calm and not patient is not humble or not quiet and vice versa. Everyone who is wise is not old... | John is not tall. | neutral | (((curious(mary)|strong(mary)))<=>((~quiet(paul)&~brave(paul))))&
(![X]:(~rich(X)<=>(humble(X)|generous(X))))&
(![X]:((old(X)&humble(X))=>~quiet(X)))&
(![X]:((~calm(X)&~patient(X))<=>(~humble(X)|~quiet(X))))&
(![X]:(wise(X)=>~old(X)))&
(![X]:(humble(X)<=>(~strong(X)|~creative(X))))&
(![X]:((~funny(X)&rich(X))=>(quiet(X... | ~tall(john) | [] | null | 0 |
Everyone who is happy or not creative is both curious and calm.
If john is both wise and not happy then someone is tall and vice versa.
Everyone who is both tall and not strong is either funny or not old.
Everyone who is humble is either not generous or curious and vice versa.
Everyone who is both curious and not old i... | John is wise. | contradiction | (![X]:((happy(X)|~creative(X))=>(curious(X)&calm(X))))&
(((wise(john)&~happy(john)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)&~strong(X))=>(funny(X)<~>~old(X))))&
(![X]:(humble(X)<=>(~generous(X)<~>curious(X))))&
(![X]:((curious(X)&~old(X))=>(patient(X)|funny(X))))&
(![X]:(~humble(X)=>(generous(X)|wise(X))))&
(((brave(john... | wise(john) | [
"p0",
"p3",
"p6",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2168366152662210015818311
% SZS output start Proof for 2168366152662210015818311
1. ! [X0] : ((~creative(X0) | happy(X0)) => (calm(X0) & curious(X0))) [input p0]
4. ! [X0] : (humble(X0) <=> (~generous(X0) <~> curious(X0))) [input p3]
7. (~tall(john) & brave(john)) <=> ? [X0] : (generous(X... | 0 |
If someone is both not funny and not wise then paul is either not happy or not brave.
Everyone who is both funny and quiet is either not generous or not calm.
Everyone who is not patient is either generous or rich and vice versa.
Everyone who is both not calm and humble is either calm or not rich.
If someone is kind or... | Lucy is calm. | neutral | ((?[X]:((~funny(X)&~wise(X))))=>((~happy(paul)<~>~brave(paul))))&
(![X]:((funny(X)&quiet(X))=>(~generous(X)<~>~calm(X))))&
(![X]:(~patient(X)<=>(generous(X)<~>rich(X))))&
(![X]:((~calm(X)&humble(X))=>(calm(X)<~>~rich(X))))&
((?[X]:((kind(X)|~brave(X))))<=>(?[X]:(~quiet(X))))&
((?[X]:(calm(X)))=>(?[X]:((strong(X)&~old(X... | calm(lucy) | [] | null | 0 |
Everyone who is both calm and not humble is both not creative and old.
Everyone who is either strong or quiet is tall.
Everyone who is either not humble or not quiet is either tall or not patient.
Everyone who is not rich or tall is both not funny and not creative.
Everyone who is patient or not tall is not humble or r... | Paul is funny. | neutral | (![X]:((calm(X)&~humble(X))=>(~creative(X)&old(X))))&
(![X]:((strong(X)<~>quiet(X))=>tall(X)))&
(![X]:((~humble(X)<~>~quiet(X))=>(tall(X)<~>~patient(X))))&
(![X]:((~rich(X)|tall(X))=>(~funny(X)&~creative(X))))&
(![X]:((patient(X)|~tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~calm(X)=>(tall(X)|generous(X))))&
(![X]:((~gene... | funny(paul) | [] | null | 0 |
Everyone who is happy or strong is either not calm or not brave and vice versa.
Everyone who is not tall or creative is both not happy and not calm.
Everyone who is either not creative or quiet is old or not generous.
If someone is creative or patient then someone is both not humble and wise.
Everyone who is not kind i... | John is brave. | contradiction | (![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~brave(X))))&
(![X]:((~tall(X)|creative(X))=>(~happy(X)&~calm(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(old(X)|~generous(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:(~kind(X)<=>(tall(X)<~>rich(X))))&
(((~funny(fred)&~generous(fred)))<=>(?[X]... | brave(john) | [
"p1",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8275812196665218207397000
% SZS output start Proof for 8275812196665218207397000
2. ! [X0] : ((creative(X0) | ~tall(X0)) => (~calm(X0) & ~happy(X0))) [input p1]
16. ! [X0] : ((~happy(X0) | patient(X0)) <=> (tall(X0) & calm(X0))) [input p15]
17. creative(john) | ~brave(john) [input p16]
22... | 0 |
Everyone who is both not calm and quiet is either humble or curious and vice versa.
Everyone who is either quiet or creative is both quiet and rich.
Everyone who is kind is not happy or rich and vice versa.
If alice is not quiet then someone is rich or not creative and vice versa.
Everyone who is either wise or tall is... | Mary is quiet. | neutral | (![X]:((~calm(X)&quiet(X))<=>(humble(X)<~>curious(X))))&
(![X]:((quiet(X)<~>creative(X))=>(quiet(X)&rich(X))))&
(![X]:(kind(X)<=>(~happy(X)|rich(X))))&
((~quiet(alice))<=>(?[X]:((rich(X)|~creative(X)))))&
(![X]:((wise(X)<~>tall(X))<=>(~brave(X)&~calm(X))))&
(![X]:((generous(X)&strong(X))<=>(~brave(X)&calm(X))))&
(![X]:... | quiet(mary) | [] | null | 0 |
If paul is not generous then susan is both tall and strong and vice versa.
Everyone who is either strong or not patient is both not happy and brave and vice versa.
Everyone who is either not calm or not rich is either not rich or not calm.
If someone is rich or generous then fred is both humble and old.
If someone is e... | Susan is not patient. | entailment | ((~generous(paul))<=>((tall(susan)&strong(susan))))&
(![X]:((strong(X)<~>~patient(X))<=>(~happy(X)&brave(X))))&
(![X]:((~calm(X)<~>~rich(X))=>(~rich(X)<~>~calm(X))))&
((?[X]:((rich(X)|generous(X))))=>((humble(fred)&old(fred))))&
((?[X]:((happy(X)<~>~tall(X))))<=>((calm(susan)<~>quiet(susan))))&
((?[X]:((~happy(X)&~calm... | ~patient(susan) | [
"p0",
"p1",
"p3",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7477595368908353904780395
% SZS output start Proof for 7477595368908353904780395
1. ~generous(paul) <=> (strong(susan) & tall(susan)) [input p0]
2. ! [X0] : ((strong(X0) <~> ~patient(X0)) <=> (brave(X0) & ~happy(X0))) [input p1]
4. ? [X0] : (generous(X0) | rich(X0)) => (old(fred) & humble... | 0 |
If mary is either not rich or not brave then someone is old or creative.
Everyone who is strong or rich is both not brave and creative and vice versa.
If someone is patient or generous then lucy is either not calm or not kind and vice versa.
If john is either generous or not brave then paul is not kind or not quiet and... | Alice is not funny. | contradiction | (((~rich(mary)<~>~brave(mary)))=>(?[X]:((old(X)|creative(X)))))&
(![X]:((strong(X)|rich(X))<=>(~brave(X)&creative(X))))&
((?[X]:((patient(X)|generous(X))))<=>((~calm(lucy)<~>~kind(lucy))))&
(((generous(john)<~>~brave(john)))<=>((~kind(paul)|~quiet(paul))))&
((?[X]:((funny(X)|creative(X))))<=>((~tall(susan)|old(susan)))... | ~funny(alice) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1733115614922950566416348
% SZS output start Proof for 1733115614922950566416348
14. ? [X0] : (~humble(X0) | humble(X0)) => (funny(alice) & rich(alice)) [input p13]
25. ~funny(alice) [input hypothesis]
33. (funny(alice) & rich(alice)) | ! [X0] : (humble(X0) & ~humble(X0)) [ennf transforma... | 0 |
If someone is not brave or not calm then someone is not quiet and vice versa. If lucy is either curious or strong then someone is not quiet. Everyone who is brave or calm is tall. Everyone who is both generous and happy is not tall or calm and vice versa. If mary is both kind and happy then susan is both not brave and ... | Mary is rich. | neutral | ((?[X]:((~brave(X)|~calm(X))))<=>(?[X]:(~quiet(X))))&
(((curious(lucy)<~>strong(lucy)))=>(?[X]:(~quiet(X))))&
(![X]:((brave(X)|calm(X))=>tall(X)))&
(![X]:((generous(X)&happy(X))<=>(~tall(X)|calm(X))))&
(((kind(mary)&happy(mary)))<=>((~brave(susan)&~old(susan))))&
(((humble(susan)|~kind(susan)))<=>(?[X]:((patient(X)|wis... | rich(mary) | [] | null | 0 |
If someone is either generous or not humble then someone is not funny.
Everyone who is not strong or patient is either kind or not strong and vice versa.
If lucy is not quiet or not wise then lucy is either not calm or patient and vice versa.
If paul is brave then someone is both not happy and curious.
Everyone who is ... | Fred is not strong. | entailment | ((?[X]:((generous(X)<~>~humble(X))))=>(?[X]:(~funny(X))))&
(![X]:((~strong(X)|patient(X))<=>(kind(X)<~>~strong(X))))&
(((~quiet(lucy)|~wise(lucy)))<=>((~calm(lucy)<~>patient(lucy))))&
((brave(paul))=>(?[X]:((~happy(X)&curious(X)))))&
(![X]:((kind(X)|~quiet(X))<=>(happy(X)|brave(X))))&
(![X]:((~happy(X)&brave(X))<=>(gen... | ~strong(fred) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5024852674613979654919389
% SZS output start Proof for 5024852674613979654919389
18. brave(fred) & ~strong(fred) [input p17]
24. strong(fred) [input hypothesis]
141. ~strong(fred) [cnf transformation 18]
150. strong(fred) [cnf transformation 24]
291. 29 <=> strong(fred) [avatar definition... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not humble and humble and vice versa. If someone is not brave then mary is either creative or strong and vice versa. Everyone who is both strong and calm is not happy and vice versa.... | Fred is not brave. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~humble(X)&humble(X))))&
((?[X]:(~brave(X)))<=>((creative(mary)<~>strong(mary))))&
(![X]:((strong(X)&calm(X))<=>~happy(X)))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:... | ~brave(fred) | [
"p3",
"p6",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4188502214678879126322975
% SZS output start Proof for 4188502214678879126322975
4. ! [X0] : ((calm(X0) & strong(X0)) <=> ~happy(X0)) [input p3]
7. ! [X0] : ((~funny(X0) | kind(X0)) => (happy(X0) & ~strong(X0))) [input p6]
10. ! [X0] : ((~calm(X0) | ~funny(X0)) => (~strong(X0) & kind(X0))... | 0 |
Everyone who is tall or patient is strong and vice versa. Everyone who is old or not rich is brave and vice versa. Everyone who is humble or not quiet is tall and vice versa. Everyone who is either not humble or not wise is either not wise or brave. Everyone who is both not kind and not calm is both curious and not fun... | Fred is funny. | neutral | (![X]:((tall(X)|patient(X))<=>strong(X)))&
(![X]:((old(X)|~rich(X))<=>brave(X)))&
(![X]:((humble(X)|~quiet(X))<=>tall(X)))&
(![X]:((~humble(X)<~>~wise(X))=>(~wise(X)<~>brave(X))))&
(![X]:((~kind(X)&~calm(X))<=>(curious(X)&~funny(X))))&
(((~calm(paul)<~>brave(paul)))<=>(?[X]:(~rich(X))))&
(![X]:((~curious(X)<~>~strong(X... | funny(fred) | [] | null | 0 |
Everyone who is happy is either not happy or quiet and vice versa. If john is wise or calm then someone is either quiet or wise. If mary is both brave and not wise then john is creative and vice versa. If someone is not generous then alice is not funny. Everyone who is calm or humble is strong or not tall. Everyone who... | Paul is not quiet. | contradiction | (![X]:(happy(X)<=>(~happy(X)<~>quiet(X))))&
(((wise(john)|calm(john)))=>(?[X]:((quiet(X)<~>wise(X)))))&
(((brave(mary)&~wise(mary)))<=>(creative(john)))&
((?[X]:(~generous(X)))=>(~funny(alice)))&
(![X]:((calm(X)|humble(X))=>(strong(X)|~tall(X))))&
(![X]:(~tall(X)=>rich(X)))&
((?[X]:((~humble(X)<~>kind(X))))=>((~generou... | ~quiet(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4055964311497210964973168
% SZS output start Proof for 4055964311497210964973168
1. ! [X0] : (happy(X0) <=> (~happy(X0) <~> quiet(X0))) [input p0]
23. ~quiet(paul) [input hypothesis]
42. ! [X0] : ((happy(X0) | ((~happy(X0) | ~quiet(X0)) & (quiet(X0) | happy(X0)))) & (((~quiet(X0) | happy(... | 0 |
If someone is funny then fred is either wise or brave.
Everyone who is both tall and not kind is not wise and vice versa.
Everyone who is quiet or not calm is either not kind or kind and vice versa.
Everyone who is both humble and not humble is generous.
If paul is not brave or not funny then someone is both brave and ... | Alice is not patient. | neutral | ((?[X]:(funny(X)))=>((wise(fred)<~>brave(fred))))&
(![X]:((tall(X)&~kind(X))<=>~wise(X)))&
(![X]:((quiet(X)|~calm(X))<=>(~kind(X)<~>kind(X))))&
(![X]:((humble(X)&~humble(X))=>generous(X)))&
(((~brave(paul)|~funny(paul)))=>(?[X]:((brave(X)&kind(X)))))&
((?[X]:(brave(X)))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:(gen... | ~patient(alice) | [] | null | 0 |
Everyone who is creative or wise is not funny or old and vice versa.
Everyone who is either not brave or patient is either old or brave and vice versa.
Everyone who is brave or not curious is either happy or not humble and vice versa.
If alice is quiet or strong then susan is both quiet and not old.
Everyone who is not... | Alice is not funny. | entailment | (![X]:((creative(X)|wise(X))<=>(~funny(X)|old(X))))&
(![X]:((~brave(X)<~>patient(X))<=>(old(X)<~>brave(X))))&
(![X]:((brave(X)|~curious(X))<=>(happy(X)<~>~humble(X))))&
(((quiet(alice)|strong(alice)))=>((quiet(susan)&~old(susan))))&
(![X]:((~generous(X)|wise(X))=>(strong(X)|~quiet(X))))&
(((~happy(alice)|quiet(alice)))... | ~funny(alice) | [
"p0",
"p1",
"p10",
"p13",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7764660748236926847770425
% SZS output start Proof for 7764660748236926847770425
1. ! [X0] : ((wise(X0) | creative(X0)) <=> (old(X0) | ~funny(X0))) [input p0]
2. ! [X0] : ((~brave(X0) <~> patient(X0)) <=> (old(X0) <~> brave(X0))) [input p1]
11. ? [X0] : (~curious(X0) | ~creative(X0)) <=> ... | 0 |
If mary is kind or strong then mary is strong or not kind.
If alice is either rich or quiet then someone is either not kind or not patient and vice versa.
Everyone who is curious is not wise or quiet and vice versa.
If someone is not strong or generous then someone is not brave or old.
Everyone who is either not creati... | Fred is patient. | contradiction | (((kind(mary)|strong(mary)))=>((strong(mary)|~kind(mary))))&
(((rich(alice)<~>quiet(alice)))<=>(?[X]:((~kind(X)<~>~patient(X)))))&
(![X]:(curious(X)<=>(~wise(X)|quiet(X))))&
((?[X]:((~strong(X)|generous(X))))=>(?[X]:((~brave(X)|old(X)))))&
(![X]:((~creative(X)<~>strong(X))=>(~strong(X)<~>~curious(X))))&
((?[X]:((~kind(... | patient(fred) | [
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4334691069065639866864958
% SZS output start Proof for 4334691069065639866864958
8. ! [X0] : ((patient(X0) <~> ~humble(X0)) => strong(X0)) [input p7]
10. ! [X0] : (brave(X0) => (strong(X0) & funny(X0))) [input p9]
12. ! [X0] : ((humble(X0) <~> brave(X0)) <=> (~brave(X0) | old(X0))) [input... | 0 |
If someone is happy then mary is not kind or rich and vice versa.
If alice is either not brave or rich then someone is either creative or not quiet and vice versa.
If someone is brave then someone is either humble or not curious.
Everyone who is either not quiet or tall is either not tall or not brave and vice versa.
I... | Fred is funny. | contradiction | ((?[X]:(happy(X)))<=>((~kind(mary)|rich(mary))))&
(((~brave(alice)<~>rich(alice)))<=>(?[X]:((creative(X)<~>~quiet(X)))))&
((?[X]:(brave(X)))=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:((~quiet(X)<~>tall(X))<=>(~tall(X)<~>~brave(X))))&
((?[X]:(kind(X)))=>((curious(paul)<~>~generous(paul))))&
(![X]:(~creative(X)=>rich(X... | funny(fred) | [
"p3",
"p7",
"p8",
"p9",
"p13",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1726869501336683815719550
% SZS output start Proof for 1726869501336683815719550
4. ! [X0] : ((~quiet(X0) <~> tall(X0)) <=> (~tall(X0) <~> ~brave(X0))) [input p3]
8. ! [X0] : ((patient(X0) & funny(X0)) <=> (~quiet(X0) | brave(X0))) [input p7]
9. ! [X0] : ((~rich(X0) | funny(X0)) => (~pati... | 0 |
If fred is rich then someone is both patient and tall.
Everyone who is both quiet and funny is both not creative and not rich.
Everyone who is either kind or not humble is calm and vice versa.
Everyone who is not brave is either not brave or not patient.
Everyone who is not rich is not creative or not curious and vice ... | Mary is brave. | entailment | ((rich(fred))=>(?[X]:((patient(X)&tall(X)))))&
(![X]:((quiet(X)&funny(X))=>(~creative(X)&~rich(X))))&
(![X]:((kind(X)<~>~humble(X))<=>calm(X)))&
(![X]:(~brave(X)=>(~brave(X)<~>~patient(X))))&
(![X]:(~rich(X)<=>(~creative(X)|~curious(X))))&
(((strong(lucy)|rich(lucy)))=>((~curious(susan)&~brave(susan))))&
(![X]:((happy(... | brave(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8415076853625798096129730
% SZS output start Proof for 8415076853625798096129730
9. ! [X0] : (~strong(X0) <=> (strong(X0) <~> brave(X0))) [input p8]
25. ~brave(mary) [input hypothesis]
49. ! [X0] : ((~strong(X0) | ((strong(X0) | ~brave(X0)) & (brave(X0) | ~strong(X0)))) & (((~brave(X0) | ... | 0 |
Everyone who is quiet or tall is not humble or patient and vice versa.
Everyone who is generous or kind is not kind and vice versa.
If john is not old then john is either not tall or not curious and vice versa.
If someone is not tall then someone is both not generous and patient and vice versa.
If lucy is strong or not... | John is creative. | neutral | (![X]:((quiet(X)|tall(X))<=>(~humble(X)|patient(X))))&
(![X]:((generous(X)|kind(X))<=>~kind(X)))&
((~old(john))<=>((~tall(john)<~>~curious(john))))&
((?[X]:(~tall(X)))<=>(?[X]:((~generous(X)&patient(X)))))&
(((strong(lucy)|~wise(lucy)))=>((brave(fred)|~strong(fred))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((rich(susan)<... | creative(john) | [] | null | 0 |
Everyone who is either not calm or kind is either not curious or not humble and vice versa. If susan is both humble and quiet then mary is creative or kind and vice versa. Everyone who is either brave or not brave is both not strong and generous. Everyone who is both not old and not curious is not happy or curious and ... | Mary is not rich. | neutral | (![X]:((~calm(X)<~>kind(X))<=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>generous(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((~kind(X)... | ~rich(mary) | [] | null | 0 |
If someone is not kind or not creative then lucy is not rich and vice versa.
If fred is happy then someone is both not curious and kind and vice versa.
Everyone who is both not rich and not wise is not rich or humble and vice versa.
If paul is not curious then john is both wise and rich and vice versa.
If someone is no... | Paul is wise. | neutral | ((?[X]:((~kind(X)|~creative(X))))<=>(~rich(lucy)))&
((happy(fred))<=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(~rich(X)|humble(X))))&
((~curious(paul))<=>((wise(john)&rich(john))))&
((?[X]:(~patient(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((creative(X)|generous(X))=>(quiet(X)&~calm(X))))&
(![X]:(creative... | wise(paul) | [] | null | 0 |
If susan is both not happy and kind then someone is either not calm or wise and vice versa.
Everyone who is either happy or not humble is humble or tall and vice versa.
Everyone who is kind or calm is both patient and not quiet and vice versa.
Everyone who is not rich or happy is not kind.
Everyone who is either patien... | Paul is not strong. | entailment | (((~happy(susan)&kind(susan)))<=>(?[X]:((~calm(X)<~>wise(X)))))&
(![X]:((happy(X)<~>~humble(X))<=>(humble(X)|tall(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&~quiet(X))))&
(![X]:((~rich(X)|happy(X))=>~kind(X)))&
(![X]:((patient(X)<~>generous(X))<=>(kind(X)&happy(X))))&
(((~rich(john)<~>old(john)))<=>((humble(paul)<~>... | ~strong(paul) | [
"p2",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4243593644164304940482661
% SZS output start Proof for 4243593644164304940482661
3. ! [X0] : ((calm(X0) | kind(X0)) <=> (~quiet(X0) & patient(X0))) [input p2]
13. ! [X0] : ((old(X0) & ~patient(X0)) <=> strong(X0)) [input p12]
16. ? [X0] : old(X0) <=> (strong(john) & kind(john)) [input p15... | 0 |
If paul is either not kind or not happy then mary is both old and not brave. If someone is not tall or not kind then someone is not patient or brave. If someone is both rich and funny then someone is both brave and not happy. If someone is not funny then lucy is both not happy and not quiet. If someone is kind then luc... | Mary is calm. | contradiction | (((~kind(paul)<~>~happy(paul)))=>((old(mary)&~brave(mary))))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~patient(X)|brave(X)))))&
((?[X]:((rich(X)&funny(X))))=>(?[X]:((brave(X)&~happy(X)))))&
((?[X]:(~funny(X)))=>((~happy(lucy)&~quiet(lucy))))&
((?[X]:(kind(X)))<=>(~creative(lucy)))&
(![X]:((quiet(X)|patient(X))<=>(~humbl... | calm(mary) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4323308566289339333629314
% SZS output start Proof for 4323308566289339333629314
11. ! [X0] : (calm(X0) => (funny(X0) & ~rich(X0))) [input p10]
20. rich(mary) [input p19]
24. calm(mary) [input hypothesis]
38. ! [X0] : ((funny(X0) & ~rich(X0)) | ~calm(X0)) [ennf transformation 11]
96. ~cal... | 0 |
Everyone who is either kind or quiet is either not curious or not tall and vice versa. Everyone who is not humble is humble or brave and vice versa. Everyone who is strong is brave or not strong and vice versa. Everyone who is either tall or funny is either happy or not kind and vice versa. Everyone who is both strong ... | Fred is curious. | contradiction | (![X]:((kind(X)<~>quiet(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:(~humble(X)<=>(humble(X)|brave(X))))&
(![X]:(strong(X)<=>(brave(X)|~strong(X))))&
(![X]:((tall(X)<~>funny(X))<=>(happy(X)<~>~kind(X))))&
(![X]:((strong(X)&rich(X))<=>(~strong(X)&~happy(X))))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(curious(X)=>humble(X)))... | curious(fred) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4431806023927517898149990
% SZS output start Proof for 4431806023927517898149990
2. ! [X0] : (~humble(X0) <=> (brave(X0) | humble(X0))) [input p1]
7. ! [X0] : (curious(X0) => humble(X0)) [input p6]
24. curious(fred) [input hypothesis]
26. ! [X0] : (humble(X0) | ~curious(X0)) [ennf transfo... | 0 |
Everyone who is both not rich and old is both not happy and not rich and vice versa.
Everyone who is brave is happy or not quiet and vice versa.
Everyone who is strong is both wise and generous and vice versa.
Everyone who is rich is not kind or not strong and vice versa.
If lucy is both humble and curious then mary is... | Paul is kind. | entailment | (![X]:((~rich(X)&old(X))<=>(~happy(X)&~rich(X))))&
(![X]:(brave(X)<=>(happy(X)|~quiet(X))))&
(![X]:(strong(X)<=>(wise(X)&generous(X))))&
(![X]:(rich(X)<=>(~kind(X)|~strong(X))))&
(((humble(lucy)&curious(lucy)))<=>((patient(mary)|tall(mary))))&
(![X]:(~tall(X)=>(quiet(X)|patient(X))))&
((~kind(paul))<=>((~tall(john)|cal... | kind(paul) | [
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2630371166267179538842862
% SZS output start Proof for 2630371166267179538842862
2. ! [X0] : (brave(X0) <=> (~quiet(X0) | happy(X0))) [input p1]
4. ! [X0] : (rich(X0) <=> (~strong(X0) | ~kind(X0))) [input p3]
10. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> rich(X0)) [input p9]
12. ! [X0] :... | 0 |
Everyone who is not happy or not brave is rich or not funny and vice versa. Everyone who is either not quiet or not creative is both not quiet and not brave. Everyone who is both not wise and not old is tall or not happy. Everyone who is both not calm and not tall is not tall and vice versa. If someone is both not curi... | Lucy is creative. | contradiction | (![X]:((~happy(X)|~brave(X))<=>(rich(X)|~funny(X))))&
(![X]:((~quiet(X)<~>~creative(X))=>(~quiet(X)&~brave(X))))&
(![X]:((~wise(X)&~old(X))=>(tall(X)|~happy(X))))&
(![X]:((~calm(X)&~tall(X))<=>~tall(X)))&
((?[X]:((~curious(X)&~calm(X))))<=>((~strong(lucy)|creative(lucy))))&
((patient(fred))=>(?[X]:(rich(X))))&
(![X]:((... | creative(lucy) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4783972992118392448295849
% SZS output start Proof for 4783972992118392448295849
5. ? [X0] : (~calm(X0) & ~curious(X0)) <=> (creative(lucy) | ~strong(lucy)) [input p4]
7. ! [X0] : ((~curious(X0) | ~strong(X0)) <=> (~wise(X0) & calm(X0))) [input p6]
22. creative(lucy) [input hypothesis]
37... | 0 |
If john is both not old and not calm then susan is either not quiet or generous.
Everyone who is not quiet or not curious is not wise and vice versa.
Everyone who is curious or old is not creative or wise and vice versa.
If susan is either calm or not brave then someone is patient or not tall.
If someone is both old an... | Lucy is quiet. | entailment | (((~old(john)&~calm(john)))=>((~quiet(susan)<~>generous(susan))))&
(![X]:((~quiet(X)|~curious(X))<=>~wise(X)))&
(![X]:((curious(X)|old(X))<=>(~creative(X)|wise(X))))&
(((calm(susan)<~>~brave(susan)))=>(?[X]:((patient(X)|~tall(X)))))&
((?[X]:((old(X)&~kind(X))))=>(~generous(mary)))&
(![X]:((~brave(X)&kind(X))<=>(creativ... | quiet(lucy) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3670959088339840890322062
% SZS output start Proof for 3670959088339840890322062
2. ! [X0] : ((~curious(X0) | ~quiet(X0)) <=> ~wise(X0)) [input p1]
6. ! [X0] : ((kind(X0) & ~brave(X0)) <=> (~happy(X0) | creative(X0))) [input p5]
8. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> funny(X0)) [input p... | 0 |
Everyone who is both not strong and not funny is kind.
If someone is either not patient or not rich then someone is not brave or not quiet and vice versa.
If fred is not strong then john is both not creative and not generous and vice versa.
Everyone who is creative or not generous is not rich or not calm and vice versa... | Lucy is not humble. | entailment | (![X]:((~strong(X)&~funny(X))=>kind(X)))&
((?[X]:((~patient(X)<~>~rich(X))))<=>(?[X]:((~brave(X)|~quiet(X)))))&
((~strong(fred))<=>((~creative(john)&~generous(john))))&
(![X]:((creative(X)|~generous(X))<=>(~rich(X)|~calm(X))))&
((?[X]:((~old(X)<~>~rich(X))))<=>((creative(mary)&~generous(mary))))&
(((~calm(john)&wise(jo... | ~humble(lucy) | [
"p3",
"p8",
"p9",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7554917432658852076388699
% SZS output start Proof for 7554917432658852076388699
4. ! [X0] : ((~generous(X0) | creative(X0)) <=> (~calm(X0) | ~rich(X0))) [input p3]
9. ! [X0] : ((kind(X0) <~> ~creative(X0)) <=> (~strong(X0) & patient(X0))) [input p8]
10. (~humble(lucy) & ~generous(lucy)) ... | 0 |
If alice is both humble and not humble then someone is both strong and humble and vice versa.
Everyone who is old or brave is both wise and not curious and vice versa.
If alice is both kind and generous then someone is either generous or not curious and vice versa.
If someone is wise or not creative then fred is either... | Alice is happy. | contradiction | (((humble(alice)&~humble(alice)))<=>(?[X]:((strong(X)&humble(X)))))&
(![X]:((old(X)|brave(X))<=>(wise(X)&~curious(X))))&
(((kind(alice)&generous(alice)))<=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:((wise(X)|~creative(X))))<=>((generous(fred)<~>humble(fred))))&
(![X]:(brave(X)<=>(~happy(X)&~old(X))))&
(![X]:((~tall... | happy(alice) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6792491294749008925540740
% SZS output start Proof for 6792491294749008925540740
5. ! [X0] : (brave(X0) <=> (~old(X0) & ~happy(X0))) [input p4]
12. ! [X0] : ((~brave(X0) | ~humble(X0)) => (brave(X0) | ~happy(X0))) [input p11]
23. happy(alice) [input hypothesis]
31. ! [X0] : ((brave(X0) | ... | 0 |
Everyone who is either not patient or not wise is both wise and not funny and vice versa.
Everyone who is both curious and not calm is not calm and vice versa.
Everyone who is not curious is not wise or not strong and vice versa.
Everyone who is both old and creative is either strong or not wise and vice versa.
If paul... | Lucy is calm. | entailment | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&~funny(X))))&
(![X]:((curious(X)&~calm(X))<=>~calm(X)))&
(![X]:(~curious(X)<=>(~wise(X)|~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X... | calm(lucy) | [
"p0",
"p1",
"p8",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5944607748237301930532576
% SZS output start Proof for 5944607748237301930532576
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (~funny(X0) & wise(X0))) [input p0]
2. ! [X0] : ((~calm(X0) & curious(X0)) <=> ~calm(X0)) [input p1]
9. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | stro... | 0 |
Everyone who is both old and not patient is both calm and not rich.
If someone is kind then fred is either not funny or not calm.
If john is not rich then paul is either not curious or quiet and vice versa.
If someone is either not strong or not wise then susan is either curious or funny and vice versa.
Everyone who is... | Paul is not wise. | entailment | (![X]:((old(X)&~patient(X))=>(calm(X)&~rich(X))))&
((?[X]:(kind(X)))=>((~funny(fred)<~>~calm(fred))))&
((~rich(john))<=>((~curious(paul)<~>quiet(paul))))&
((?[X]:((~strong(X)<~>~wise(X))))<=>((curious(susan)<~>funny(susan))))&
(![X]:(~funny(X)<=>(rich(X)<~>~strong(X))))&
(![X]:((kind(X)<~>generous(X))<=>(old(X)<~>brave... | ~wise(paul) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7452804399741995978161713
% SZS output start Proof for 7452804399741995978161713
16. ! [X0] : ((wise(X0) | ~humble(X0)) <=> (~kind(X0) & tall(X0))) [input p15]
21. ~tall(paul) & ~creative(paul) [input p20]
24. wise(paul) [input hypothesis]
56. ! [X0] : (((wise(X0) | ~humble(X0)) | (kind(X... | 0 |
Everyone who is either not funny or creative is either humble or patient. If someone is either kind or not rich then someone is not happy. If someone is either rich or kind then susan is brave or not rich. If alice is humble then someone is both not old and not funny and vice versa. Everyone who is either kind or creat... | Fred is not funny. | contradiction | (![X]:((~funny(X)<~>creative(X))=>(humble(X)<~>patient(X))))&
((?[X]:((kind(X)<~>~rich(X))))=>(?[X]:(~happy(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((brave(susan)|~rich(susan))))&
((humble(alice))<=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((kind(X)<~>creative(X))<=>(wise(X)<~>old(X))))&
(![X]:((tall(X)<~>~strong(X))<=>(tall... | ~funny(fred) | [
"p3",
"p7",
"p15",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 425054333941505199731848
% SZS output start Proof for 425054333941505199731848
4. humble(alice) <=> ? [X0] : (~funny(X0) & ~old(X0)) [input p3]
8. ! [X0] : ((~tall(X0) & brave(X0)) <=> ~old(X0)) [input p7]
16. ! [X0] : (patient(X0) <=> (humble(X0) & ~patient(X0))) [input p15]
19. brave(fr... | 0 |
If someone is not strong then fred is both not generous and not rich and vice versa.
Everyone who is rich is either generous or not happy and vice versa.
If fred is both not old and not strong then john is tall or not kind.
If someone is both humble and not happy then alice is both kind and wise.
If lucy is rich then f... | Alice is creative. | neutral | ((?[X]:(~strong(X)))<=>((~generous(fred)&~rich(fred))))&
(![X]:(rich(X)<=>(generous(X)<~>~happy(X))))&
(((~old(fred)&~strong(fred)))=>((tall(john)|~kind(john))))&
((?[X]:((humble(X)&~happy(X))))=>((kind(alice)&wise(alice))))&
((rich(lucy))<=>((calm(fred)|~happy(fred))))&
((~kind(fred))<=>((~curious(mary)<~>funny(mary))... | creative(alice) | [] | null | 0 |
If paul is patient or not brave then someone is either not calm or not creative. If someone is either old or brave then someone is both not quiet and not happy. Everyone who is not strong is both not old and not funny. If alice is humble then someone is both strong and humble and vice versa. If someone is not old or no... | Alice is generous. | contradiction | (((patient(paul)|~brave(paul)))=>(?[X]:((~calm(X)<~>~creative(X)))))&
((?[X]:((old(X)<~>brave(X))))=>(?[X]:((~quiet(X)&~happy(X)))))&
(![X]:(~strong(X)=>(~old(X)&~funny(X))))&
((humble(alice))<=>(?[X]:((strong(X)&humble(X)))))&
((?[X]:((~old(X)|~humble(X))))<=>((~quiet(lucy)<~>brave(lucy))))&
((?[X]:((tall(X)&~patient(... | generous(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5705818603493151085983059
% SZS output start Proof for 5705818603493151085983059
22. ~generous(alice) & ~tall(alice) [input p21]
25. generous(alice) [input hypothesis]
139. ~generous(alice) [cnf transformation 22]
144. generous(alice) [cnf transformation 25]
366. $false [subsumption resol... | 0 |
Everyone who is calm or not old is not generous.
Everyone who is either not old or curious is old or not strong and vice versa.
Everyone who is both happy and not old is not rich or not generous.
If mary is patient or humble then alice is not rich or not wise and vice versa.
If someone is both happy and not kind then f... | Susan is tall. | contradiction | (![X]:((calm(X)|~old(X))=>~generous(X)))&
(![X]:((~old(X)<~>curious(X))<=>(old(X)|~strong(X))))&
(![X]:((happy(X)&~old(X))=>(~rich(X)|~generous(X))))&
(((patient(mary)|humble(mary)))<=>((~rich(alice)|~wise(alice))))&
((?[X]:((happy(X)&~kind(X))))=>((happy(fred)<~>~kind(fred))))&
((?[X]:(~quiet(X)))=>(?[X]:((generous(X)... | tall(susan) | [
"p0",
"p5",
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 130252704288609491634924
% SZS output start Proof for 130252704288609491634924
1. ! [X0] : ((~old(X0) | calm(X0)) => ~generous(X0)) [input p0]
6. ? [X0] : ~quiet(X0) => ? [X0] : (generous(X0) <~> tall(X0)) [input p5]
7. ? [X0] : (~quiet(X0) <~> strong(X0)) <=> ? [X0] : ~calm(X0) [input p6... | 0 |
Everyone who is not humble is both old and strong.
If paul is both not old and old then paul is either tall or creative and vice versa.
If paul is not curious or not generous then someone is either not quiet or quiet.
If paul is either not old or old then someone is not curious or not patient and vice versa.
Everyone w... | Paul is old. | neutral | (![X]:(~humble(X)=>(old(X)&strong(X))))&
(((~old(paul)&old(paul)))<=>((tall(paul)<~>creative(paul))))&
(((~curious(paul)|~generous(paul)))=>(?[X]:((~quiet(X)<~>quiet(X)))))&
(((~old(paul)<~>old(paul)))<=>(?[X]:((~curious(X)|~patient(X)))))&
(![X]:((rich(X)<~>~old(X))=>(~funny(X)|~wise(X))))&
(![X]:((~calm(X)|strong(X))... | old(paul) | [] | null | 0 |
If paul is generous then someone is old.
If someone is both not generous and not rich then mary is not generous and vice versa.
If someone is both kind and not brave then lucy is both not calm and not brave.
If mary is either not creative or calm then someone is either strong or not strong and vice versa.
Everyone who ... | Fred is not calm. | entailment | ((generous(paul))=>(?[X]:(old(X))))&
((?[X]:((~generous(X)&~rich(X))))<=>(~generous(mary)))&
((?[X]:((kind(X)&~brave(X))))=>((~calm(lucy)&~brave(lucy))))&
(((~creative(mary)<~>calm(mary)))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((rich(X)&patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~calm(X)=>(~patient(X)<~>~funny... | ~calm(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3764940334749019872725354
% SZS output start Proof for 3764940334749019872725354
11. ! [X0] : ((~wise(X0) <~> calm(X0)) <=> ~wise(X0)) [input p10]
25. calm(fred) [input hypothesis]
58. ! [X0] : ((((~calm(X0) | wise(X0)) & (calm(X0) | ~wise(X0))) | wise(X0)) & (~wise(X0) | ((~wise(X0) | ~c... | 0 |
Everyone who is not kind is old or creative and vice versa.
If fred is either humble or not brave then someone is strong or humble and vice versa.
Everyone who is both wise and kind is not rich and vice versa.
If paul is not patient or old then fred is humble.
Everyone who is not brave or wise is both not quiet and not... | Mary is not quiet. | neutral | (![X]:(~kind(X)<=>(old(X)|creative(X))))&
(((humble(fred)<~>~brave(fred)))<=>(?[X]:((strong(X)|humble(X)))))&
(![X]:((wise(X)&kind(X))<=>~rich(X)))&
(((~patient(paul)|old(paul)))=>(humble(fred)))&
(![X]:((~brave(X)|wise(X))<=>(~quiet(X)&~calm(X))))&
(((~quiet(paul)<~>wise(paul)))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:... | ~quiet(mary) | [] | null | 0 |
Everyone who is both strong and not strong is not wise.
If someone is funny then lucy is kind or not humble.
If mary is calm then someone is not brave or not curious.
Everyone who is both strong and not rich is either happy or brave and vice versa.
If someone is tall then someone is not creative.
Everyone who is not cu... | Lucy is not creative. | entailment | (![X]:((strong(X)&~strong(X))=>~wise(X)))&
((?[X]:(funny(X)))=>((kind(lucy)|~humble(lucy))))&
((calm(mary))=>(?[X]:((~brave(X)|~curious(X)))))&
(![X]:((strong(X)&~rich(X))<=>(happy(X)<~>brave(X))))&
((?[X]:(tall(X)))=>(?[X]:(~creative(X))))&
(![X]:(~curious(X)=>funny(X)))&
((?[X]:((old(X)&~calm(X))))<=>((~humble(alice)... | ~creative(lucy) | [
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 787161074302170520725756
% SZS output start Proof for 787161074302170520725756
10. ! [X0] : (creative(X0) <=> (happy(X0) & wise(X0))) [input p9]
23. ~quiet(lucy) & ~happy(lucy) [input p22]
25. creative(lucy) [input hypothesis]
60. ! [X0] : ((creative(X0) | (~happy(X0) | ~wise(X0))) & ((ha... | 0 |
Everyone who is curious is funny or not creative and vice versa.
If mary is not tall then john is not brave or patient and vice versa.
If john is either curious or not tall then someone is either not strong or generous.
Everyone who is either quiet or not rich is creative and vice versa.
Everyone who is both humble and... | Alice is not funny. | neutral | (![X]:(curious(X)<=>(funny(X)|~creative(X))))&
((~tall(mary))<=>((~brave(john)|patient(john))))&
(((curious(john)<~>~tall(john)))=>(?[X]:((~strong(X)<~>generous(X)))))&
(![X]:((quiet(X)<~>~rich(X))<=>creative(X)))&
(![X]:((humble(X)&rich(X))<=>(~patient(X)|humble(X))))&
(![X]:((kind(X)<~>happy(X))<=>(funny(X)&brave(X))... | ~funny(alice) | [] | null | 0 |
If someone is not rich then john is kind. If lucy is not humble or not happy then paul is either curious or calm. Everyone who is both strong and humble is either tall or funny. If someone is brave or not kind then fred is either old or patient and vice versa. Everyone who is rich or not curious is both not happy and r... | Susan is old. | contradiction | ((?[X]:(~rich(X)))=>(kind(john)))&
(((~humble(lucy)|~happy(lucy)))=>((curious(paul)<~>calm(paul))))&
(![X]:((strong(X)&humble(X))=>(tall(X)<~>funny(X))))&
((?[X]:((brave(X)|~kind(X))))<=>((old(fred)<~>patient(fred))))&
(![X]:((rich(X)|~curious(X))<=>(~happy(X)&rich(X))))&
(((kind(lucy)<~>wise(lucy)))<=>(?[X]:(creative(... | old(susan) | [
"p4",
"p8",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1289224493175094030100678
% SZS output start Proof for 1289224493175094030100678
5. ! [X0] : ((~curious(X0) | rich(X0)) <=> (rich(X0) & ~happy(X0))) [input p4]
9. ! [X0] : ((tall(X0) & ~old(X0)) <=> (~happy(X0) <~> ~rich(X0))) [input p8]
10. ! [X0] : ((~humble(X0) | wise(X0)) <=> (quiet(X... | 0 |
If someone is both tall and not humble then someone is wise or not patient and vice versa. Everyone who is both strong and generous is both humble and not creative and vice versa. Everyone who is either not kind or not brave is not creative. If someone is not curious then mary is not calm or not generous and vice versa... | Mary is not calm. | contradiction | ((?[X]:((tall(X)&~humble(X))))<=>(?[X]:((wise(X)|~patient(X)))))&
(![X]:((strong(X)&generous(X))<=>(humble(X)&~creative(X))))&
(![X]:((~kind(X)<~>~brave(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>((~calm(mary)|~generous(mary))))&
(![X]:((~old(X)<~>curious(X))=>(curious(X)&~tall(X))))&
(![X]:((~creative(X)&strong(X))=... | ~calm(mary) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6563184449462002359543984
% SZS output start Proof for 6563184449462002359543984
2. ! [X0] : ((generous(X0) & strong(X0)) <=> (~creative(X0) & humble(X0))) [input p1]
4. ? [X0] : ~curious(X0) <=> (~generous(mary) | ~calm(mary)) [input p3]
5. ! [X0] : ((~old(X0) <~> curious(X0)) => (~tall(... | 0 |
Everyone who is either not calm or creative is either wise or not patient and vice versa.
Everyone who is both curious and happy is both not funny and not quiet and vice versa.
If paul is both not happy and not quiet then john is both not humble and not kind.
Everyone who is not creative or not tall is funny.
Everyone ... | John is happy. | neutral | (![X]:((~calm(X)<~>creative(X))<=>(wise(X)<~>~patient(X))))&
(![X]:((curious(X)&happy(X))<=>(~funny(X)&~quiet(X))))&
(((~happy(paul)&~quiet(paul)))=>((~humble(john)&~kind(john))))&
(![X]:((~creative(X)|~tall(X))=>funny(X)))&
(![X]:(~calm(X)<=>(old(X)|happy(X))))&
((?[X]:((~curious(X)<~>~patient(X))))=>(~old(paul)))&
(!... | happy(john) | [] | null | 0 |
If paul is both not strong and not wise then someone is both quiet and strong.
Everyone who is not strong or not quiet is either not strong or tall and vice versa.
If alice is not strong then alice is both not rich and kind.
Everyone who is not quiet or humble is not rich or not wise and vice versa.
Everyone who is not... | Lucy is not happy. | contradiction | (((~strong(paul)&~wise(paul)))=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~strong(X)|~quiet(X))<=>(~strong(X)<~>tall(X))))&
((~strong(alice))=>((~rich(alice)&kind(alice))))&
(![X]:((~quiet(X)|humble(X))<=>(~rich(X)|~wise(X))))&
(![X]:((~humble(X)|kind(X))<=>(calm(X)&funny(X))))&
(((~rich(susan)|~funny(susan)))<=>((kind(s... | ~happy(lucy) | [
"p1",
"p7",
"p9",
"p10",
"p11",
"p14",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 464841143686125211048011
% SZS output start Proof for 464841143686125211048011
2. ! [X0] : ((~quiet(X0) | ~strong(X0)) <=> (~strong(X0) <~> tall(X0))) [input p1]
8. ! [X0] : ((calm(X0) & humble(X0)) <=> (tall(X0) | ~calm(X0))) [input p7]
10. ! [X0] : ((tall(X0) & generous(X0)) => ~calm(X0... | 0 |
If someone is not happy or not patient then lucy is either not rich or calm and vice versa.
If someone is either not quiet or not funny then someone is not tall.
Everyone who is either calm or not curious is either old or tall.
If someone is both not humble and not rich then paul is not quiet or not patient and vice ve... | Susan is not tall. | entailment | ((?[X]:((~happy(X)|~patient(X))))<=>((~rich(lucy)<~>calm(lucy))))&
((?[X]:((~quiet(X)<~>~funny(X))))=>(?[X]:(~tall(X))))&
(![X]:((calm(X)<~>~curious(X))=>(old(X)<~>tall(X))))&
((?[X]:((~humble(X)&~rich(X))))<=>((~quiet(paul)|~patient(paul))))&
((?[X]:(~generous(X)))<=>(humble(lucy)))&
((?[X]:((kind(X)&quiet(X))))<=>(?[... | ~tall(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5525850154634331186433600
% SZS output start Proof for 5525850154634331186433600
9. ! [X0] : (~patient(X0) <=> (~tall(X0) <~> patient(X0))) [input p8]
24. tall(susan) [input hypothesis]
61. ! [X0] : ((~patient(X0) | ((~tall(X0) | ~patient(X0)) & (patient(X0) | tall(X0)))) & (((~patient(X0... | 0 |
Everyone who is both old and not tall is tall and vice versa. If paul is both not wise and wise then susan is creative or curious and vice versa. If someone is both humble and patient then someone is creative. Everyone who is both not quiet and generous is not funny and vice versa. If someone is both rich and curious t... | Alice is strong. | neutral | (![X]:((old(X)&~tall(X))<=>tall(X)))&
(((~wise(paul)&wise(paul)))<=>((creative(susan)|curious(susan))))&
((?[X]:((humble(X)&patient(X))))=>(?[X]:(creative(X))))&
(![X]:((~quiet(X)&generous(X))<=>~funny(X)))&
((?[X]:((rich(X)&curious(X))))<=>((quiet(paul)&old(paul))))&
(((~old(paul)<~>creative(paul)))=>((~generous(john)... | strong(alice) | [] | null | 0 |
Everyone who is both humble and not rich is either not calm or not brave.
If someone is either creative or not old then paul is both wise and not calm.
If someone is patient then someone is not wise and vice versa.
Everyone who is not funny or humble is both not happy and not tall.
Everyone who is not rich or strong is... | Susan is not quiet. | contradiction | (![X]:((humble(X)&~rich(X))=>(~calm(X)<~>~brave(X))))&
((?[X]:((creative(X)<~>~old(X))))=>((wise(paul)&~calm(paul))))&
((?[X]:(patient(X)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|humble(X))=>(~happy(X)&~tall(X))))&
(![X]:((~rich(X)|strong(X))<=>(curious(X)<~>patient(X))))&
(![X]:((~kind(X)|~creative(X))<=>(humble(X)&~... | ~quiet(susan) | [
"p3",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 810469529546369912363466
% SZS output start Proof for 810469529546369912363466
4. ! [X0] : ((humble(X0) | ~funny(X0)) => (~tall(X0) & ~happy(X0))) [input p3]
9. ! [X0] : ((quiet(X0) <~> ~rich(X0)) <=> (generous(X0) & rich(X0))) [input p8]
10. ! [X0] : ((~rich(X0) | generous(X0)) <=> (tall... | 0 |
Everyone who is both humble and curious is wise. Everyone who is generous is not funny or rich and vice versa. If someone is either not calm or curious then someone is not tall. If someone is not generous or kind then paul is patient or brave. Everyone who is not wise or curious is tall or patient and vice versa. If so... | John is wise. | entailment | (![X]:((humble(X)&curious(X))=>wise(X)))&
(![X]:(generous(X)<=>(~funny(X)|rich(X))))&
((?[X]:((~calm(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
((?[X]:((~generous(X)|kind(X))))=>((patient(paul)|brave(paul))))&
(![X]:((~wise(X)|curious(X))<=>(tall(X)|patient(X))))&
((?[X]:(~humble(X)))=>(?[X]:((generous(X)<~>funny(X)))))&
... | wise(john) | [
"p0",
"p1",
"p7",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8112280094733984570228389
% SZS output start Proof for 8112280094733984570228389
1. ! [X0] : ((curious(X0) & humble(X0)) => wise(X0)) [input p0]
2. ! [X0] : (generous(X0) <=> (rich(X0) | ~funny(X0))) [input p1]
8. ! [X0] : ((funny(X0) | rich(X0)) <=> generous(X0)) [input p7]
15. (~rich(jo... | 0 |
Everyone who is either patient or humble is funny and vice versa.
Everyone who is either not happy or rich is not calm.
If susan is either wise or humble then paul is either old or creative.
If susan is not happy then someone is both rich and kind.
Everyone who is generous or calm is both wise and not kind and vice ver... | Fred is humble. | contradiction | (![X]:((patient(X)<~>humble(X))<=>funny(X)))&
(![X]:((~happy(X)<~>rich(X))=>~calm(X)))&
(((wise(susan)<~>humble(susan)))=>((old(paul)<~>creative(paul))))&
((~happy(susan))=>(?[X]:((rich(X)&kind(X)))))&
(![X]:((generous(X)|calm(X))<=>(wise(X)&~kind(X))))&
(((~tall(alice)|~funny(alice)))=>((tall(lucy)<~>humble(lucy))))&
... | humble(fred) | [
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 119168489050416045471830
% SZS output start Proof for 119168489050416045471830
14. ? [X0] : (~strong(X0) | happy(X0)) => ~humble(fred) [input p13]
18. generous(alice) & happy(alice) [input p17]
25. humble(fred) [input hypothesis]
33. ~humble(fred) | ! [X0] : (strong(X0) & ~happy(X0)) [enn... | 0 |
Everyone who is not brave or kind is both tall and curious. Everyone who is not old or not calm is either not old or curious and vice versa. If mary is either not strong or rich then someone is either not humble or not brave and vice versa. If john is either creative or tall then someone is not happy. If susan is not c... | John is strong. | neutral | (![X]:((~brave(X)|kind(X))=>(tall(X)&curious(X))))&
(![X]:((~old(X)|~calm(X))<=>(~old(X)<~>curious(X))))&
(((~strong(mary)<~>rich(mary)))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
(((creative(john)<~>tall(john)))=>(?[X]:(~happy(X))))&
(((~curious(susan)|creative(susan)))<=>(~creative(paul)))&
(![X]:(curious(X)<=>(calm(X)&~... | strong(john) | [] | null | 0 |
If susan is curious or not curious then mary is either not strong or not tall.
If someone is both not old and not calm then john is either funny or curious and vice versa.
If fred is both not kind and curious then paul is either not funny or not strong and vice versa.
Everyone who is brave or not old is either not stro... | John is not creative. | contradiction | (((curious(susan)|~curious(susan)))=>((~strong(mary)<~>~tall(mary))))&
((?[X]:((~old(X)&~calm(X))))<=>((funny(john)<~>curious(john))))&
(((~kind(fred)&curious(fred)))<=>((~funny(paul)<~>~strong(paul))))&
(![X]:((brave(X)|~old(X))<=>(~strong(X)<~>~quiet(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(strong(X)&wise(X))))&
((~c... | ~creative(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2782695476397520349679841
% SZS output start Proof for 2782695476397520349679841
21. creative(john) & humble(john) [input p20]
24. ~creative(john) [input hypothesis]
131. creative(john) [cnf transformation 21]
134. ~creative(john) [cnf transformation 24]
278. $false [subsumption resolutio... | 0 |
Everyone who is both generous and tall is happy or not funny and vice versa. If someone is either calm or kind then someone is not funny or patient. Everyone who is either curious or humble is happy and vice versa. Everyone who is not funny is both strong and not old and vice versa. If someone is either tall or happy t... | Lucy is not calm. | contradiction | (![X]:((generous(X)&tall(X))<=>(happy(X)|~funny(X))))&
((?[X]:((calm(X)<~>kind(X))))=>(?[X]:((~funny(X)|patient(X)))))&
(![X]:((curious(X)<~>humble(X))<=>happy(X)))&
(![X]:(~funny(X)<=>(strong(X)&~old(X))))&
((?[X]:((tall(X)<~>happy(X))))=>((~quiet(fred)|calm(fred))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~wise(X)&~generous... | ~calm(lucy) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"p10",
"p12",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6048688516054440719185214
% SZS output start Proof for 6048688516054440719185214
1. ! [X0] : ((tall(X0) & generous(X0)) <=> (~funny(X0) | happy(X0))) [input p0]
3. ! [X0] : ((curious(X0) <~> humble(X0)) <=> happy(X0)) [input p2]
4. ! [X0] : (~funny(X0) <=> (~old(X0) & strong(X0))) [input ... | 0 |
If mary is both not kind and quiet then someone is both creative and rich. Everyone who is both not humble and not curious is not rich and vice versa. If someone is both not funny and not rich then someone is either not generous or not old. If someone is not generous or happy then someone is not creative and vice versa... | Mary is rich. | contradiction | (((~kind(mary)&quiet(mary)))=>(?[X]:((creative(X)&rich(X)))))&
(![X]:((~humble(X)&~curious(X))<=>~rich(X)))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~generous(X)<~>~old(X)))))&
((?[X]:((~generous(X)|happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:(rich(X)=>(old(X)&happy(X))))&
(![X]:((~kind(X)&kind(X))<=>(old(X)<~>tall(X))... | rich(mary) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6481198049659290316308726
% SZS output start Proof for 6481198049659290316308726
5. ! [X0] : (rich(X0) => (happy(X0) & old(X0))) [input p4]
12. ! [X0] : ((rich(X0) | generous(X0)) => (old(X0) <~> rich(X0))) [input p11]
24. rich(mary) [input hypothesis]
33. ! [X0] : ((happy(X0) & old(X0)) ... | 0 |
If mary is not old or curious then someone is not happy or not humble.
Everyone who is either not old or not happy is curious.
Everyone who is patient is not old or not calm.
If alice is not brave then john is not calm and vice versa.
Everyone who is both not rich and funny is tall or not patient.
If someone is not wis... | Alice is kind. | neutral | (((~old(mary)|curious(mary)))=>(?[X]:((~happy(X)|~humble(X)))))&
(![X]:((~old(X)<~>~happy(X))=>curious(X)))&
(![X]:(patient(X)=>(~old(X)|~calm(X))))&
((~brave(alice))<=>(~calm(john)))&
(![X]:((~rich(X)&funny(X))=>(tall(X)|~patient(X))))&
((?[X]:((~wise(X)|~funny(X))))<=>(?[X]:((kind(X)&old(X)))))&
(![X]:(~quiet(X)<=>(~... | kind(alice) | [] | null | 0 |
Everyone who is both happy and not happy is not humble or not quiet and vice versa.
If someone is either humble or not generous then paul is old and vice versa.
If someone is both not brave and calm then someone is both not old and patient and vice versa.
If susan is not rich then alice is generous and vice versa.
If s... | Lucy is not quiet. | contradiction | (![X]:((happy(X)&~happy(X))<=>(~humble(X)|~quiet(X))))&
((?[X]:((humble(X)<~>~generous(X))))<=>(old(paul)))&
((?[X]:((~brave(X)&calm(X))))<=>(?[X]:((~old(X)&patient(X)))))&
((~rich(susan))<=>(generous(alice)))&
((?[X]:(strong(X)))=>(?[X]:((old(X)&~strong(X)))))&
(((~tall(alice)&~happy(alice)))<=>(?[X]:((~humble(X)&~str... | ~quiet(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 2059381378675319447603249
% SZS output start Proof for 2059381378675319447603249
1. ! [X0] : ((~happy(X0) & happy(X0)) <=> (~quiet(X0) | ~humble(X0))) [input p0]
24. ~quiet(lucy) [input hypothesis]
39. ! [X0] : (((~happy(X0) & happy(X0)) | (quiet(X0) & humble(X0))) & ((~quiet(X0) | ~humbl... | 0 |
If john is both not brave and curious then someone is creative and vice versa. Everyone who is not wise or brave is brave or not old and vice versa. Everyone who is funny or not generous is both patient and old. Everyone who is either not funny or wise is brave and vice versa. Everyone who is wise or not kind is not pa... | Susan is curious. | contradiction | (((~brave(john)&curious(john)))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|brave(X))<=>(brave(X)|~old(X))))&
(![X]:((funny(X)|~generous(X))=>(patient(X)&old(X))))&
(![X]:((~funny(X)<~>wise(X))<=>brave(X)))&
(![X]:((wise(X)|~kind(X))<=>~patient(X)))&
(![X]:(creative(X)=>patient(X)))&
((?[X]:((~generous(X)|rich(X))))=>(?[... | curious(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7148574907617355938914462
% SZS output start Proof for 7148574907617355938914462
9. ! [X0] : ((~patient(X0) | curious(X0)) <=> (happy(X0) & ~happy(X0))) [input p8]
23. curious(susan) [input hypothesis]
51. ! [X0] : (((~patient(X0) | curious(X0)) | (~happy(X0) | happy(X0))) & ((happy(X0) &... | 0 |
Everyone who is both creative and not tall is not generous and vice versa.
If someone is both brave and not generous then paul is humble or calm and vice versa.
Everyone who is either not funny or not patient is both funny and not curious and vice versa.
Everyone who is both not generous and patient is creative or calm... | Mary is funny. | entailment | (![X]:((creative(X)&~tall(X))<=>~generous(X)))&
((?[X]:((brave(X)&~generous(X))))<=>((humble(paul)|calm(paul))))&
(![X]:((~funny(X)<~>~patient(X))<=>(funny(X)&~curious(X))))&
(![X]:((~generous(X)&patient(X))=>(creative(X)|calm(X))))&
(((~strong(alice)<~>creative(alice)))<=>(?[X]:((kind(X)|happy(X)))))&
(![X]:((~old(X)|... | funny(mary) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1908719663975570373841456
% SZS output start Proof for 1908719663975570373841456
1. ! [X0] : ((~tall(X0) & creative(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((~funny(X0) <~> ~patient(X0)) <=> (~curious(X0) & funny(X0))) [input p2]
6. ! [X0] : ((~calm(X0) | ~old(X0)) => (~curious(X0)... | 0 |
If alice is kind then alice is both humble and tall.
If mary is not old or creative then mary is patient and vice versa.
Everyone who is not brave is tall.
If someone is not kind or happy then mary is not quiet or not strong and vice versa.
If someone is both quiet and not old then john is not quiet and vice versa.
If ... | Paul is brave. | neutral | ((kind(alice))=>((humble(alice)&tall(alice))))&
(((~old(mary)|creative(mary)))<=>(patient(mary)))&
(![X]:(~brave(X)=>tall(X)))&
((?[X]:((~kind(X)|happy(X))))<=>((~quiet(mary)|~strong(mary))))&
((?[X]:((quiet(X)&~old(X))))<=>(~quiet(john)))&
(((humble(mary)|~patient(mary)))<=>((happy(fred)|brave(fred))))&
((?[X]:((rich(... | brave(paul) | [] | null | 0 |
If fred is not kind or humble then lucy is old and vice versa. If john is not brave then lucy is either rich or happy. If someone is both not generous and curious then fred is both not wise and not funny and vice versa. If john is generous then susan is calm or quiet and vice versa. Everyone who is happy is either not ... | Lucy is not curious. | neutral | (((~kind(fred)|humble(fred)))<=>(old(lucy)))&
((~brave(john))=>((rich(lucy)<~>happy(lucy))))&
((?[X]:((~generous(X)&curious(X))))<=>((~wise(fred)&~funny(fred))))&
((generous(john))<=>((calm(susan)|quiet(susan))))&
(![X]:(happy(X)=>(~brave(X)<~>quiet(X))))&
(![X]:((~calm(X)<~>~funny(X))<=>(brave(X)&humble(X))))&
(![X]:(... | ~curious(lucy) | [] | null | 0 |
If someone is not curious then someone is patient or happy and vice versa. Everyone who is either curious or quiet is both not wise and creative and vice versa. Everyone who is either not quiet or creative is not old and vice versa. Everyone who is wise is humble and vice versa. If john is not rich or not happy then so... | Fred is not funny. | contradiction | ((?[X]:(~curious(X)))<=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((curious(X)<~>quiet(X))<=>(~wise(X)&creative(X))))&
(![X]:((~quiet(X)<~>creative(X))<=>~old(X)))&
(![X]:(wise(X)<=>humble(X)))&
(((~rich(john)|~happy(john)))<=>(?[X]:((~strong(X)&brave(X)))))&
(![X]:((~patient(X)&old(X))<=>(curious(X)|~funny(X))))&
(((rich... | ~funny(fred) | [
"p1",
"p2",
"p5",
"p7",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5386195377497302630759044
% SZS output start Proof for 5386195377497302630759044
2. ! [X0] : ((curious(X0) <~> quiet(X0)) <=> (creative(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) <~> creative(X0)) <=> ~old(X0)) [input p2]
6. ! [X0] : ((old(X0) & ~patient(X0)) <=> (~funny(X0) | ... | 0 |
Everyone who is generous is both brave and wise.
If alice is both funny and not funny then paul is not calm or not patient.
If someone is strong then someone is either creative or happy and vice versa.
Everyone who is funny is kind or not tall and vice versa.
Everyone who is either not tall or not humble is both happy ... | Lucy is not generous. | entailment | (![X]:(generous(X)=>(brave(X)&wise(X))))&
(((funny(alice)&~funny(alice)))=>((~calm(paul)|~patient(paul))))&
((?[X]:(strong(X)))<=>(?[X]:((creative(X)<~>happy(X)))))&
(![X]:(funny(X)<=>(kind(X)|~tall(X))))&
(![X]:((~tall(X)<~>~humble(X))<=>(happy(X)&strong(X))))&
(![X]:(rich(X)<=>~wise(X)))&
((?[X]:((~generous(X)|funny(... | ~generous(lucy) | [
"p0",
"p3",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5223335280149411768374258
% SZS output start Proof for 5223335280149411768374258
1. ! [X0] : (generous(X0) => (wise(X0) & brave(X0))) [input p0]
4. ! [X0] : (funny(X0) <=> (~tall(X0) | kind(X0))) [input p3]
7. ? [X0] : (funny(X0) | ~generous(X0)) <=> (~rich(lucy) & ~brave(lucy)) [input p6... | 0 |
Everyone who is quiet is creative or not tall. If someone is wise then john is rich and vice versa. Everyone who is either patient or not strong is both not creative and not happy. If someone is both wise and not generous then mary is old or quiet. If susan is patient then john is generous. If someone is not wise then ... | Lucy is funny. | neutral | (![X]:(quiet(X)=>(creative(X)|~tall(X))))&
((?[X]:(wise(X)))<=>(rich(john)))&
(![X]:((patient(X)<~>~strong(X))=>(~creative(X)&~happy(X))))&
((?[X]:((wise(X)&~generous(X))))=>((old(mary)|quiet(mary))))&
((patient(susan))=>(generous(john)))&
((?[X]:(~wise(X)))=>((funny(lucy)|~strong(lucy))))&
(![X]:((creative(X)|generous... | funny(lucy) | [] | null | 0 |
Everyone who is not tall or curious is both tall and generous and vice versa.
If lucy is old then mary is strong or brave.
If fred is both not old and curious then lucy is curious or not rich and vice versa.
Everyone who is curious is kind or creative and vice versa.
Everyone who is curious or funny is both curious and... | Fred is old. | contradiction | (![X]:((~tall(X)|curious(X))<=>(tall(X)&generous(X))))&
((old(lucy))=>((strong(mary)|brave(mary))))&
(((~old(fred)&curious(fred)))<=>((curious(lucy)|~rich(lucy))))&
(![X]:(curious(X)<=>(kind(X)|creative(X))))&
(![X]:((curious(X)|funny(X))<=>(curious(X)&humble(X))))&
(![X]:((~funny(X)<~>~quiet(X))<=>(happy(X)&~generous(... | old(fred) | [
"p2",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 452531001458979707528008
% SZS output start Proof for 452531001458979707528008
3. (curious(fred) & ~old(fred)) <=> (~rich(lucy) | curious(lucy)) [input p2]
4. ! [X0] : (curious(X0) <=> (creative(X0) | kind(X0))) [input p3]
15. ! [X0] : (~curious(X0) <=> kind(X0)) [input p14]
23. old(fred)... | 0 |
If someone is either not strong or curious then fred is either not strong or not old. Everyone who is not rich or not calm is both not patient and tall. Everyone who is both not old and funny is both not old and not brave and vice versa. If someone is not kind or wise then someone is either calm or funny. Everyone who ... | Fred is not happy. | neutral | ((?[X]:((~strong(X)<~>curious(X))))=>((~strong(fred)<~>~old(fred))))&
(![X]:((~rich(X)|~calm(X))=>(~patient(X)&tall(X))))&
(![X]:((~old(X)&funny(X))<=>(~old(X)&~brave(X))))&
((?[X]:((~kind(X)|wise(X))))=>(?[X]:((calm(X)<~>funny(X)))))&
(![X]:((tall(X)&generous(X))=>(quiet(X)&generous(X))))&
((?[X]:((brave(X)&wise(X))))... | ~happy(fred) | [] | null | 0 |
Everyone who is not humble is both not quiet and old.
Everyone who is generous or curious is not curious.
If someone is funny then someone is old or strong.
Everyone who is either rich or creative is either not quiet or calm and vice versa.
Everyone who is both not tall and not humble is not kind or humble.
If someone ... | Mary is old. | entailment | (![X]:(~humble(X)=>(~quiet(X)&old(X))))&
(![X]:((generous(X)|curious(X))=>~curious(X)))&
((?[X]:(funny(X)))=>(?[X]:((old(X)|strong(X)))))&
(![X]:((rich(X)<~>creative(X))<=>(~quiet(X)<~>calm(X))))&
(![X]:((~tall(X)&~humble(X))=>(~kind(X)|humble(X))))&
((?[X]:((~rich(X)&curious(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~brave(... | old(mary) | [
"p0",
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4653540748962798824295227
% SZS output start Proof for 4653540748962798824295227
1. ! [X0] : (~humble(X0) => (old(X0) & ~quiet(X0))) [input p0]
2. ! [X0] : ((curious(X0) | generous(X0)) => ~curious(X0)) [input p1]
12. ! [X0] : (~curious(X0) <=> (~quiet(X0) & ~humble(X0))) [input p11]
22. ... | 0 |
If someone is not brave or quiet then fred is either wise or funny. If john is either not calm or not humble then someone is either not creative or not happy. If lucy is either rich or strong then alice is either not generous or not old and vice versa. Everyone who is both funny and patient is both not brave and not pa... | John is not quiet. | entailment | ((?[X]:((~brave(X)|quiet(X))))=>((wise(fred)<~>funny(fred))))&
(((~calm(john)<~>~humble(john)))=>(?[X]:((~creative(X)<~>~happy(X)))))&
(((rich(lucy)<~>strong(lucy)))<=>((~generous(alice)<~>~old(alice))))&
(![X]:((funny(X)&patient(X))=>(~brave(X)&~patient(X))))&
(![X]:((old(X)<~>rich(X))<=>(calm(X)<~>kind(X))))&
(((~fun... | ~quiet(john) | [
"p0",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 810510202019858603597628
% SZS output start Proof for 810510202019858603597628
1. ? [X0] : (quiet(X0) | ~brave(X0)) => (wise(fred) <~> funny(fred)) [input p0]
7. ! [X0] : ((humble(X0) | ~wise(X0)) => (wise(X0) <~> ~funny(X0))) [input p6]
10. ! [X0] : (curious(X0) => (creative(X0) & ~creat... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.