premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If fred is both not old and not patient then john is either not curious or not happy.
If someone is strong or not happy then someone is funny.
If susan is either brave or patient then lucy is old or brave and vice versa.
If someone is not kind or calm then someone is not strong and vice versa.
If someone is not funny o... | Lucy is not patient. | entailment | (((~old(fred)&~patient(fred)))=>((~curious(john)<~>~happy(john))))&
((?[X]:((strong(X)|~happy(X))))=>(?[X]:(funny(X))))&
(((brave(susan)<~>patient(susan)))<=>((old(lucy)|brave(lucy))))&
((?[X]:((~kind(X)|calm(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~funny(X)|generous(X))))=>(?[X]:((~kind(X)&kind(X)))))&
(![X]:(~kind(X)=... | ~patient(lucy) | [
"p4",
"p6",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4820648833334708213976679
% SZS output start Proof for 4820648833334708213976679
5. ? [X0] : (generous(X0) | ~funny(X0)) => ? [X0] : (kind(X0) & ~kind(X0)) [input p4]
7. (old(fred) & patient(fred)) <=> ? [X0] : (patient(X0) | ~brave(X0)) [input p6]
10. ! [X0] : ((~quiet(X0) <~> quiet(X0))... | 0 |
Everyone who is not funny is either not kind or not humble and vice versa.
If someone is brave then paul is either not funny or not calm and vice versa.
If someone is not tall then someone is funny or brave.
Everyone who is patient or not quiet is both not brave and curious.
If susan is both not curious and calm then s... | Susan is quiet. | entailment | (![X]:(~funny(X)<=>(~kind(X)<~>~humble(X))))&
((?[X]:(brave(X)))<=>((~funny(paul)<~>~calm(paul))))&
((?[X]:(~tall(X)))=>(?[X]:((funny(X)|brave(X)))))&
(![X]:((patient(X)|~quiet(X))=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:... | quiet(susan) | [
"p3",
"p4",
"p5",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2931761316259055524741147
% SZS output start Proof for 2931761316259055524741147
4. ! [X0] : ((~quiet(X0) | patient(X0)) => (curious(X0) & ~brave(X0))) [input p3]
5. (calm(susan) & ~curious(susan)) <=> ? [X0] : (~rich(X0) & ~patient(X0)) [input p4]
6. ? [X0] : (curious(X0) & creative(X0))... | 0 |
If john is happy then lucy is either humble or not humble and vice versa.
If someone is either funny or not humble then alice is not old and vice versa.
If john is not brave then susan is either strong or generous and vice versa.
If someone is either not happy or not kind then fred is creative or happy and vice versa.
... | Fred is funny. | neutral | ((happy(john))<=>((humble(lucy)<~>~humble(lucy))))&
((?[X]:((funny(X)<~>~humble(X))))<=>(~old(alice)))&
((~brave(john))<=>((strong(susan)<~>generous(susan))))&
((?[X]:((~happy(X)<~>~kind(X))))<=>((creative(fred)|happy(fred))))&
(![X]:(~brave(X)<=>(~quiet(X)&quiet(X))))&
(![X]:((~old(X)|~calm(X))=>(~patient(X)|happy(X))... | funny(fred) | [] | null | 0 |
If someone is both quiet and not brave then someone is either quiet or patient and vice versa.
Everyone who is not funny or patient is not strong or funny and vice versa.
Everyone who is both not old and not patient is both not tall and not happy.
If susan is either not creative or creative then someone is either stron... | Lucy is calm. | neutral | ((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((quiet(X)<~>patient(X)))))&
(![X]:((~funny(X)|patient(X))<=>(~strong(X)|funny(X))))&
(![X]:((~old(X)&~patient(X))=>(~tall(X)&~happy(X))))&
(((~creative(susan)<~>creative(susan)))<=>(?[X]:((strong(X)<~>calm(X)))))&
((?[X]:((wise(X)&quiet(X))))=>(?[X]:((creative(X)|brave(X)))))&
((... | calm(lucy) | [] | null | 0 |
If someone is strong then paul is not humble and vice versa. Everyone who is not kind is both not tall and not patient and vice versa. Everyone who is both quiet and not kind is generous or not kind and vice versa. Everyone who is either not strong or not generous is not brave. If someone is either not happy or not ric... | Susan is strong. | contradiction | ((?[X]:(strong(X)))<=>(~humble(paul)))&
(![X]:(~kind(X)<=>(~tall(X)&~patient(X))))&
(![X]:((quiet(X)&~kind(X))<=>(generous(X)|~kind(X))))&
(![X]:((~strong(X)<~>~generous(X))=>~brave(X)))&
((?[X]:((~happy(X)<~>~rich(X))))<=>(~funny(john)))&
(![X]:((strong(X)|quiet(X))=>generous(X)))&
(![X]:(~humble(X)<=>(rich(X)&~patien... | strong(susan) | [
"p2",
"p5",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 286586380826582149760203
% SZS output start Proof for 286586380826582149760203
3. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (~kind(X0) | generous(X0))) [input p2]
6. ! [X0] : ((quiet(X0) | strong(X0)) => generous(X0)) [input p5]
11. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> ~brave(X0)) [input p1... | 0 |
Everyone who is not rich or not funny is either funny or not curious and vice versa.
If someone is not kind then someone is humble or not calm.
Everyone who is not patient is not funny and vice versa.
If someone is calm then susan is strong or quiet and vice versa.
If someone is curious then someone is either not old o... | Paul is old. | contradiction | (![X]:((~rich(X)|~funny(X))<=>(funny(X)<~>~curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:((humble(X)|~calm(X)))))&
(![X]:(~patient(X)<=>~funny(X)))&
((?[X]:(calm(X)))<=>((strong(susan)|quiet(susan))))&
((?[X]:(curious(X)))=>(?[X]:((~old(X)<~>~strong(X)))))&
(![X]:(old(X)=>(~patient(X)&old(X))))&
(![X]:(brave(X)<=>(~creative... | old(paul) | [
"p0",
"p2",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 26762546866089091946734
% SZS output start Proof for 26762546866089091946734
1. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (funny(X0) <~> ~curious(X0))) [input p0]
3. ! [X0] : (~patient(X0) <=> ~funny(X0)) [input p2]
6. ! [X0] : (old(X0) => (old(X0) & ~patient(X0))) [input p5]
12. ! [X0] : (~... | 0 |
If someone is either not wise or old then susan is both strong and kind and vice versa.
If someone is not brave then someone is calm.
If someone is not rich or old then someone is not rich and vice versa.
If mary is both funny and not kind then someone is both brave and wise.
Everyone who is both kind and happy is eith... | Mary is tall. | neutral | ((?[X]:((~wise(X)<~>old(X))))<=>((strong(susan)&kind(susan))))&
((?[X]:(~brave(X)))=>(?[X]:(calm(X))))&
((?[X]:((~rich(X)|old(X))))<=>(?[X]:(~rich(X))))&
(((funny(mary)&~kind(mary)))=>(?[X]:((brave(X)&wise(X)))))&
(![X]:((kind(X)&happy(X))=>(~funny(X)<~>quiet(X))))&
((~curious(alice))<=>(?[X]:((~creative(X)<~>happy(X))... | tall(mary) | [] | null | 0 |
Everyone who is either funny or not creative is creative or humble and vice versa. Everyone who is either tall or not happy is both brave and not generous. If fred is both not funny and not wise then john is either generous or not calm and vice versa. Everyone who is both not curious and tall is not calm or not rich an... | Alice is not wise. | entailment | (![X]:((funny(X)<~>~creative(X))<=>(creative(X)|humble(X))))&
(![X]:((tall(X)<~>~happy(X))=>(brave(X)&~generous(X))))&
(((~funny(fred)&~wise(fred)))<=>((generous(john)<~>~calm(john))))&
(![X]:((~curious(X)&tall(X))<=>(~calm(X)|~rich(X))))&
(![X]:((old(X)|~tall(X))=>(~strong(X)<~>~funny(X))))&
(((generous(fred)&~tall(fr... | ~wise(alice) | [
"p3",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 448930613106049305815842
% SZS output start Proof for 448930613106049305815842
4. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~rich(X0) | ~calm(X0))) [input p3]
11. ! [X0] : (~curious(X0) => (rich(X0) & calm(X0))) [input p10]
12. ! [X0] : ((rich(X0) | brave(X0)) => (~wise(X0) & funny(X0))) [... | 0 |
Everyone who is tall is both rich and happy and vice versa. Everyone who is both not generous and not creative is not happy. Everyone who is either not curious or wise is rich or not wise and vice versa. If lucy is either strong or not humble then someone is not old or brave and vice versa. If someone is not creative t... | John is wise. | entailment | (![X]:(tall(X)<=>(rich(X)&happy(X))))&
(![X]:((~generous(X)&~creative(X))=>~happy(X)))&
(![X]:((~curious(X)<~>wise(X))<=>(rich(X)|~wise(X))))&
(((strong(lucy)<~>~humble(lucy)))<=>(?[X]:((~old(X)|brave(X)))))&
((?[X]:(~creative(X)))<=>(~humble(fred)))&
(![X]:(tall(X)=>brave(X)))&
(![X]:(~wise(X)=>(wise(X)&happy(X))))&
(... | wise(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2944862740576143012673376
% SZS output start Proof for 2944862740576143012673376
7. ! [X0] : (~wise(X0) => (happy(X0) & wise(X0))) [input p6]
24. ~wise(john) [input hypothesis]
28. ! [X0] : ((happy(X0) & wise(X0)) | wise(X0)) [ennf transformation 7]
82. wise(X0) | wise(X0) [cnf transforma... | 0 |
If someone is not old then someone is not humble or not patient and vice versa.
Everyone who is rich is either rich or not humble and vice versa.
Everyone who is not curious is not creative and vice versa.
If susan is either not curious or not patient then someone is tall.
Everyone who is old or not curious is both not... | John is not patient. | neutral | ((?[X]:(~old(X)))<=>(?[X]:((~humble(X)|~patient(X)))))&
(![X]:(rich(X)<=>(rich(X)<~>~humble(X))))&
(![X]:(~curious(X)<=>~creative(X)))&
(((~curious(susan)<~>~patient(susan)))=>(?[X]:(tall(X))))&
(![X]:((old(X)|~curious(X))<=>(~rich(X)&brave(X))))&
(((creative(fred)<~>~brave(fred)))=>((humble(john)|funny(john))))&
(![X]... | ~patient(john) | [] | null | 0 |
Everyone who is brave or not kind is either strong or happy and vice versa.
Everyone who is not old is not creative and vice versa.
If someone is either generous or not calm then susan is both humble and funny and vice versa.
Everyone who is generous or funny is either tall or not generous and vice versa.
If fred is bo... | Fred is tall. | entailment | (![X]:((brave(X)|~kind(X))<=>(strong(X)<~>happy(X))))&
(![X]:(~old(X)<=>~creative(X)))&
((?[X]:((generous(X)<~>~calm(X))))<=>((humble(susan)&funny(susan))))&
(![X]:((generous(X)|funny(X))<=>(tall(X)<~>~generous(X))))&
(((generous(fred)&humble(fred)))<=>(?[X]:(~calm(X))))&
(((~patient(alice)<~>quiet(alice)))<=>(?[X]:((b... | tall(fred) | [
"p7",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 709943704624762615084940
% SZS output start Proof for 709943704624762615084940
8. ! [X0] : (~tall(X0) <=> (~calm(X0) <~> ~tall(X0))) [input p7]
11. ! [X0] : ((calm(X0) & quiet(X0)) <=> (happy(X0) & ~strong(X0))) [input p10]
12. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (~tall(X0) & ~stro... | 0 |
Everyone who is both not humble and not wise is not funny.
If mary is either not strong or humble then someone is either kind or not rich and vice versa.
Everyone who is not kind or not quiet is both not humble and not wise and vice versa.
Everyone who is either strong or quiet is curious.
If someone is happy or brave ... | Fred is humble. | contradiction | (![X]:((~humble(X)&~wise(X))=>~funny(X)))&
(((~strong(mary)<~>humble(mary)))<=>(?[X]:((kind(X)<~>~rich(X)))))&
(![X]:((~kind(X)|~quiet(X))<=>(~humble(X)&~wise(X))))&
(![X]:((strong(X)<~>quiet(X))=>curious(X)))&
((?[X]:((happy(X)|brave(X))))<=>(?[X]:((patient(X)<~>~tall(X)))))&
(![X]:((tall(X)<~>patient(X))<=>(tall(X)&~... | humble(fred) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1178495094482349520612487
% SZS output start Proof for 1178495094482349520612487
3. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> (~wise(X0) & ~humble(X0))) [input p2]
7. ! [X0] : ((~humble(X0) & patient(X0)) <=> (~quiet(X0) | kind(X0))) [input p6]
25. humble(fred) [input hypothesis]
38. ! [X0] ... | 0 |
Everyone who is either strong or not patient is not tall or quiet.
If someone is either not humble or not wise then someone is rich and vice versa.
If susan is either patient or not creative then mary is either not creative or not happy and vice versa.
Everyone who is both strong and humble is brave.
Everyone who is bo... | Lucy is tall. | contradiction | (![X]:((strong(X)<~>~patient(X))=>(~tall(X)|quiet(X))))&
((?[X]:((~humble(X)<~>~wise(X))))<=>(?[X]:(rich(X))))&
(((patient(susan)<~>~creative(susan)))<=>((~creative(mary)<~>~happy(mary))))&
(![X]:((strong(X)&humble(X))=>brave(X)))&
(![X]:((~wise(X)&~kind(X))<=>(~quiet(X)|brave(X))))&
(![X]:(wise(X)<=>(patient(X)&~tall(... | tall(lucy) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2724813308770869715142150
% SZS output start Proof for 2724813308770869715142150
2. ? [X0] : (~humble(X0) <~> ~wise(X0)) <=> ? [X0] : rich(X0) [input p1]
5. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> (brave(X0) | ~quiet(X0))) [input p4]
6. ! [X0] : (wise(X0) <=> (~tall(X0) & patient(X0))) [inp... | 0 |
If john is humble then someone is calm or funny and vice versa.
If someone is either not wise or not quiet then someone is either not brave or not calm and vice versa.
Everyone who is not calm or humble is not humble or not quiet and vice versa.
Everyone who is quiet or wise is either creative or strong.
Everyone who i... | Alice is generous. | neutral | ((humble(john))<=>(?[X]:((calm(X)|funny(X)))))&
((?[X]:((~wise(X)<~>~quiet(X))))<=>(?[X]:((~brave(X)<~>~calm(X)))))&
(![X]:((~calm(X)|humble(X))<=>(~humble(X)|~quiet(X))))&
(![X]:((quiet(X)|wise(X))=>(creative(X)<~>strong(X))))&
(![X]:((~old(X)&~strong(X))<=>(strong(X)|curious(X))))&
(![X]:((quiet(X)&~happy(X))<=>(~cur... | generous(alice) | [] | null | 0 |
If john is either not brave or curious then fred is quiet and vice versa. Everyone who is not brave or not calm is both humble and not happy. Everyone who is happy is not curious or not creative. Everyone who is either kind or not wise is both not old and strong. Everyone who is both not wise and curious is not strong ... | Mary is not happy. | contradiction | (((~brave(john)<~>curious(john)))<=>(quiet(fred)))&
(![X]:((~brave(X)|~calm(X))=>(humble(X)&~happy(X))))&
(![X]:(happy(X)=>(~curious(X)|~creative(X))))&
(![X]:((kind(X)<~>~wise(X))=>(~old(X)&strong(X))))&
(![X]:((~wise(X)&curious(X))<=>(~strong(X)|~wise(X))))&
(((tall(fred)<~>strong(fred)))=>(?[X]:((~funny(X)|happy(X))... | ~happy(mary) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3242518864839743305804987
% SZS output start Proof for 3242518864839743305804987
18. happy(mary) [input p17]
25. ~happy(mary) [input hypothesis]
137. happy(mary) [cnf transformation 18]
148. ~happy(mary) [cnf transformation 25]
335. $false [subsumption resolution 148,137]
% SZS output end... | 0 |
Everyone who is both not funny and not calm is both not patient and not calm and vice versa. If someone is both not happy and old then alice is both strong and not tall and vice versa. Everyone who is either strong or not happy is not brave or strong and vice versa. If someone is both tall and strong then someone is no... | John is funny. | entailment | (![X]:((~funny(X)&~calm(X))<=>(~patient(X)&~calm(X))))&
((?[X]:((~happy(X)&old(X))))<=>((strong(alice)&~tall(alice))))&
(![X]:((strong(X)<~>~happy(X))<=>(~brave(X)|strong(X))))&
((?[X]:((tall(X)&strong(X))))=>(?[X]:((~old(X)|funny(X)))))&
(![X]:((~kind(X)&kind(X))<=>(~calm(X)&strong(X))))&
((?[X]:((curious(X)|happy(X))... | funny(john) | [
"p6",
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5097864970415948892137011
% SZS output start Proof for 5097864970415948892137011
7. ! [X0] : ((~brave(X0) | patient(X0)) <=> (old(X0) & generous(X0))) [input p6]
8. ! [X0] : ((quiet(X0) | rich(X0)) <=> patient(X0)) [input p7]
12. ! [X0] : ((~quiet(X0) | calm(X0)) => (funny(X0) & calm(X0))... | 0 |
Everyone who is old or not patient is calm or not rich and vice versa.
If someone is either not creative or not tall then someone is either not rich or not curious and vice versa.
If someone is both strong and wise then mary is both not humble and not generous and vice versa.
If someone is either creative or not creati... | John is generous. | contradiction | (![X]:((old(X)|~patient(X))<=>(calm(X)|~rich(X))))&
((?[X]:((~creative(X)<~>~tall(X))))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
((?[X]:((strong(X)&wise(X))))<=>((~humble(mary)&~generous(mary))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(generous(mary)))&
(((generous(lucy)<~>rich(lucy)))=>((~generous(alice)&curious(alice... | generous(john) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9130890892551105470710012
% SZS output start Proof for 9130890892551105470710012
1. ! [X0] : ((~patient(X0) | old(X0)) <=> (~rich(X0) | calm(X0))) [input p0]
7. (~patient(alice) & ~creative(alice)) <=> ? [X0] : (brave(X0) <~> wise(X0)) [input p6]
8. ! [X0] : ((wise(X0) <~> ~rich(X0)) => p... | 0 |
Everyone who is not curious is both not funny and not generous. Everyone who is not happy is not curious and vice versa. If susan is either not funny or humble then fred is generous or wise and vice versa. If someone is not tall then someone is not creative or wise. If susan is quiet or not brave then someone is not ki... | Fred is not happy. | contradiction | (![X]:(~curious(X)=>(~funny(X)&~generous(X))))&
(![X]:(~happy(X)<=>~curious(X)))&
(((~funny(susan)<~>humble(susan)))<=>((generous(fred)|wise(fred))))&
((?[X]:(~tall(X)))=>(?[X]:((~creative(X)|wise(X)))))&
(((quiet(susan)|~brave(susan)))<=>(?[X]:(~kind(X))))&
(![X]:((~curious(X)&kind(X))<=>(~wise(X)<~>creative(X))))&
(!... | ~happy(fred) | [
"p0",
"p1",
"p7",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7031920167177624925496723
% SZS output start Proof for 7031920167177624925496723
1. ! [X0] : (~curious(X0) => (~generous(X0) & ~funny(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> ~curious(X0)) [input p1]
8. ! [X0] : ((strong(X0) | creative(X0)) <=> ~tall(X0)) [input p7]
12. ! [X0] : ((~ta... | 0 |
If someone is either happy or not generous then paul is not generous and vice versa.
If lucy is both creative and not humble then someone is not wise or tall and vice versa.
If susan is strong or rich then susan is both rich and not curious and vice versa.
If alice is humble or strong then lucy is not patient or not wi... | Mary is not creative. | neutral | ((?[X]:((happy(X)<~>~generous(X))))<=>(~generous(paul)))&
(((creative(lucy)&~humble(lucy)))<=>(?[X]:((~wise(X)|tall(X)))))&
(((strong(susan)|rich(susan)))<=>((rich(susan)&~curious(susan))))&
(((humble(alice)|strong(alice)))=>((~patient(lucy)|~wise(lucy))))&
(((~strong(mary)|~wise(mary)))<=>((old(mary)|strong(mary))))&
... | ~creative(mary) | [] | null | 0 |
If paul is both quiet and not old then someone is both humble and not old and vice versa. Everyone who is not strong is not kind or happy and vice versa. If someone is not funny or creative then someone is both kind and tall and vice versa. Everyone who is both generous and not calm is both not quiet and calm. Everyone... | Fred is quiet. | neutral | (((quiet(paul)&~old(paul)))<=>(?[X]:((humble(X)&~old(X)))))&
(![X]:(~strong(X)<=>(~kind(X)|happy(X))))&
((?[X]:((~funny(X)|creative(X))))<=>(?[X]:((kind(X)&tall(X)))))&
(![X]:((generous(X)&~calm(X))=>(~quiet(X)&calm(X))))&
(![X]:((~rich(X)|funny(X))=>~old(X)))&
(![X]:((brave(X)<~>~old(X))=>(~quiet(X)<~>funny(X))))&
(![... | quiet(fred) | [] | null | 0 |
Everyone who is generous is both creative and not old.
Everyone who is not tall is either not creative or not quiet and vice versa.
Everyone who is both generous and funny is either not tall or patient and vice versa.
Everyone who is not kind or quiet is calm and vice versa.
Everyone who is either creative or strong is... | Lucy is not old. | entailment | (![X]:(generous(X)=>(creative(X)&~old(X))))&
(![X]:(~tall(X)<=>(~creative(X)<~>~quiet(X))))&
(![X]:((generous(X)&funny(X))<=>(~tall(X)<~>patient(X))))&
(![X]:((~kind(X)|quiet(X))<=>calm(X)))&
(![X]:((creative(X)<~>strong(X))<=>(calm(X)|~happy(X))))&
(![X]:((~patient(X)<~>generous(X))=>calm(X)))&
(![X]:(~old(X)=>(~wise(... | ~old(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1545653290763496806655319
% SZS output start Proof for 1545653290763496806655319
1. ! [X0] : (generous(X0) => (~old(X0) & creative(X0))) [input p0]
2. ! [X0] : (~tall(X0) <=> (~creative(X0) <~> ~quiet(X0))) [input p1]
3. ! [X0] : ((funny(X0) & generous(X0)) <=> (~tall(X0) <~> patient(X0))... | 0 |
If someone is either curious or not happy then alice is either not happy or not calm and vice versa. If mary is creative then paul is tall. Everyone who is both not calm and brave is brave or not brave. If susan is either not rich or not quiet then someone is not generous or curious and vice versa. Everyone who is eith... | Susan is not brave. | neutral | ((?[X]:((curious(X)<~>~happy(X))))<=>((~happy(alice)<~>~calm(alice))))&
((creative(mary))=>(tall(paul)))&
(![X]:((~calm(X)&brave(X))=>(brave(X)|~brave(X))))&
(((~rich(susan)<~>~quiet(susan)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((~humble(X)<~>~creative(X))=>(~brave(X)<~>~wise(X))))&
((~happy(fred))=>((happy(al... | ~brave(susan) | [] | null | 0 |
Everyone who is not patient is old or not rich.
Everyone who is patient is both not wise and old and vice versa.
Everyone who is old is either not kind or not old.
If someone is both not humble and not curious then someone is both not kind and not patient and vice versa.
If lucy is both not creative and generous then s... | Mary is not quiet. | contradiction | (![X]:(~patient(X)=>(old(X)|~rich(X))))&
(![X]:(patient(X)<=>(~wise(X)&old(X))))&
(![X]:(old(X)=>(~kind(X)<~>~old(X))))&
((?[X]:((~humble(X)&~curious(X))))<=>(?[X]:((~kind(X)&~patient(X)))))&
(((~creative(lucy)&generous(lucy)))=>(?[X]:((~calm(X)<~>rich(X)))))&
(((~patient(susan)&curious(susan)))<=>((~patient(alice)<~>g... | ~quiet(mary) | [
"p2",
"p6",
"p8",
"p12",
"p13",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1248098481239807170316998
% SZS output start Proof for 1248098481239807170316998
3. ! [X0] : (old(X0) => (~kind(X0) <~> ~old(X0))) [input p2]
7. ? [X0] : (~old(X0) & ~generous(X0)) => (~humble(mary) & ~funny(mary)) [input p6]
9. ! [X0] : ((~brave(X0) | patient(X0)) <=> (curious(X0) & kind... | 0 |
Everyone who is tall or old is not funny or not humble.
Everyone who is not quiet is both not brave and generous and vice versa.
If alice is not patient or not tall then someone is both curious and not strong.
If someone is not strong then someone is either rich or not quiet and vice versa.
Everyone who is not funny is... | Lucy is brave. | entailment | (![X]:((tall(X)|old(X))=>(~funny(X)|~humble(X))))&
(![X]:(~quiet(X)<=>(~brave(X)&generous(X))))&
(((~patient(alice)|~tall(alice)))=>(?[X]:((curious(X)&~strong(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:((rich(X)<~>~quiet(X)))))&
(![X]:(~funny(X)<=>(rich(X)<~>brave(X))))&
(((~funny(john)|tall(john)))<=>(?[X]:((~brave(X)|gener... | brave(lucy) | [
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1436426645931757376814491
% SZS output start Proof for 1436426645931757376814491
7. ! [X0] : ((~wise(X0) | ~curious(X0)) <=> (~strong(X0) & brave(X0))) [input p6]
24. ~curious(lucy) [input p23]
25. ~brave(lucy) [input hypothesis]
54. ! [X0] : (((~wise(X0) | ~curious(X0)) | (strong(X0) | ~... | 0 |
Everyone who is both not generous and not funny is both creative and strong.
Everyone who is both not generous and not patient is either old or generous and vice versa.
Everyone who is either not old or happy is either curious or not humble and vice versa.
Everyone who is happy or not strong is not happy or calm.
Every... | Lucy is not quiet. | contradiction | (![X]:((~generous(X)&~funny(X))=>(creative(X)&strong(X))))&
(![X]:((~generous(X)&~patient(X))<=>(old(X)<~>generous(X))))&
(![X]:((~old(X)<~>happy(X))<=>(curious(X)<~>~humble(X))))&
(![X]:((happy(X)|~strong(X))=>(~happy(X)|calm(X))))&
(![X]:((wise(X)<~>~creative(X))=>(~brave(X)<~>funny(X))))&
((?[X]:(quiet(X)))=>(?[X]:(... | ~quiet(lucy) | [
"p1",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5331609250788703886773526
% SZS output start Proof for 5331609250788703886773526
2. ! [X0] : ((~patient(X0) & ~generous(X0)) <=> (old(X0) <~> generous(X0))) [input p1]
7. ! [X0] : ((wise(X0) <~> ~quiet(X0)) <=> (~generous(X0) & ~old(X0))) [input p6]
15. ! [X0] : ((quiet(X0) | ~wise(X0)) <... | 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... | Lucy is wise. | entailment | (![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~brave(X))))&
(![X]:((~tall(X)|creative(X))=>(~happy(X)&~calm(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(old(X)|~generous(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&wise(X)))))&
(![X]:(~kind(X)<=>(tall(X)<~>rich(X))))&
(((~funny(fred)&~generous(fred)))<=>(?[X]... | wise(lucy) | [
"p1",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4887404165411735920536765
% SZS output start Proof for 4887404165411735920536765
2. ! [X0] : ((creative(X0) | ~tall(X0)) => (~calm(X0) & ~happy(X0))) [input p1]
8. ~tall(fred) <=> ? [X0] : (tall(X0) & ~wise(X0)) [input p7]
16. ! [X0] : ((~happy(X0) | patient(X0)) <=> (tall(X0) & calm(X0))... | 0 |
Everyone who is not patient or not creative is curious or funny. Everyone who is both happy and brave is not rich or not creative. Everyone who is both not strong and wise is either calm or not old and vice versa. If paul is quiet then someone is either strong or humble. If someone is either not funny or happy then som... | Susan is tall. | entailment | (![X]:((~patient(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:((happy(X)&brave(X))=>(~rich(X)|~creative(X))))&
(![X]:((~strong(X)&wise(X))<=>(calm(X)<~>~old(X))))&
((quiet(paul))=>(?[X]:((strong(X)<~>humble(X)))))&
((?[X]:((~funny(X)<~>happy(X))))=>(?[X]:((~generous(X)<~>~kind(X)))))&
(![X]:(~brave(X)=>(~funny(X)&~... | tall(susan) | [
"p11",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3555431084794872047402213
% SZS output start Proof for 3555431084794872047402213
12. ! [X0] : ((~tall(X0) | ~curious(X0)) <=> kind(X0)) [input p11]
16. ! [X0] : ((kind(X0) <~> happy(X0)) => ~wise(X0)) [input p15]
17. ~happy(susan) & ~patient(susan) [input p16]
21. ~calm(susan) & wise(susa... | 0 |
Everyone who is both wise and humble is not old and vice versa. If someone is both kind and not curious then alice is either not generous or old. Everyone who is not generous is rich or patient. If someone is not patient then mary is not patient or creative and vice versa. Everyone who is strong is old or tall and vice... | Alice is not happy. | neutral | (![X]:((wise(X)&humble(X))<=>~old(X)))&
((?[X]:((kind(X)&~curious(X))))=>((~generous(alice)<~>old(alice))))&
(![X]:(~generous(X)=>(rich(X)|patient(X))))&
((?[X]:(~patient(X)))<=>((~patient(mary)|creative(mary))))&
(![X]:(strong(X)<=>(old(X)|tall(X))))&
(![X]:(~generous(X)<=>(~kind(X)|quiet(X))))&
(((~curious(fred)|~qui... | ~happy(alice) | [] | null | 0 |
Everyone who is wise is funny.
If someone is both humble and curious then alice is either happy or not happy.
If fred is not generous then someone is not humble or not strong and vice versa.
If susan is not strong then john is kind.
If lucy is creative then someone is both happy and funny.
Everyone who is both quiet an... | Paul is calm. | contradiction | (![X]:(wise(X)=>funny(X)))&
((?[X]:((humble(X)&curious(X))))=>((happy(alice)<~>~happy(alice))))&
((~generous(fred))<=>(?[X]:((~humble(X)|~strong(X)))))&
((~strong(susan))=>(kind(john)))&
((creative(lucy))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((quiet(X)&humble(X))<=>(~old(X)&~funny(X))))&
(![X]:(old(X)<=>(humble(X)&~ta... | calm(paul) | [
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6886215346397336168770747
% SZS output start Proof for 6886215346397336168770747
6. ! [X0] : ((humble(X0) & quiet(X0)) <=> (~funny(X0) & ~old(X0))) [input p5]
7. ! [X0] : (old(X0) <=> (~tall(X0) & humble(X0))) [input p6]
10. ! [X0] : (calm(X0) <=> (curious(X0) & ~generous(X0))) [input p9]... | 0 |
If someone is tall then mary is either not curious or humble.
Everyone who is both not tall and kind is wise.
If someone is both quiet and funny then mary is either not wise or not strong.
If someone is kind or not old then mary is either creative or brave and vice versa.
Everyone who is not kind is both creative and n... | Susan is not quiet. | neutral | ((?[X]:(tall(X)))=>((~curious(mary)<~>humble(mary))))&
(![X]:((~tall(X)&kind(X))=>wise(X)))&
((?[X]:((quiet(X)&funny(X))))=>((~wise(mary)<~>~strong(mary))))&
((?[X]:((kind(X)|~old(X))))<=>((creative(mary)<~>brave(mary))))&
(![X]:(~kind(X)=>(creative(X)&~creative(X))))&
(![X]:((creative(X)|tall(X))=>(happy(X)&~generous(... | ~quiet(susan) | [] | null | 0 |
Everyone who is both wise and not old is not generous.
Everyone who is not patient is happy.
If paul is not humble or not rich then mary is funny and vice versa.
Everyone who is either humble or not tall is not happy or happy and vice versa.
Everyone who is funny or strong is either generous or not happy and vice versa... | Susan is not curious. | neutral | (![X]:((wise(X)&~old(X))=>~generous(X)))&
(![X]:(~patient(X)=>happy(X)))&
(((~humble(paul)|~rich(paul)))<=>(funny(mary)))&
(![X]:((humble(X)<~>~tall(X))<=>(~happy(X)|happy(X))))&
(![X]:((funny(X)|strong(X))<=>(generous(X)<~>~happy(X))))&
(![X]:((tall(X)<~>wise(X))<=>(wise(X)&~calm(X))))&
((?[X]:(quiet(X)))=>(?[X]:(brav... | ~curious(susan) | [] | null | 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 not funny. | 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)))&... | ~funny(john) | [] | null | 0 |
If paul is generous then alice is both quiet and not happy.
If someone is rich or creative then someone is not strong.
If lucy is either not tall or funny then lucy is either not rich or not happy and vice versa.
Everyone who is both old and not happy is both humble and not generous.
If someone is either not tall or ta... | Paul is not strong. | contradiction | ((generous(paul))=>((quiet(alice)&~happy(alice))))&
((?[X]:((rich(X)|creative(X))))=>(?[X]:(~strong(X))))&
(((~tall(lucy)<~>funny(lucy)))<=>((~rich(lucy)<~>~happy(lucy))))&
(![X]:((old(X)&~happy(X))=>(humble(X)&~generous(X))))&
((?[X]:((~tall(X)<~>tall(X))))=>((~creative(paul)&~quiet(paul))))&
(((~funny(paul)&humble(pa... | ~strong(paul) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1988725842824691718674711
% SZS output start Proof for 1988725842824691718674711
5. ? [X0] : (~tall(X0) <~> tall(X0)) => (~quiet(paul) & ~creative(paul)) [input p4]
12. ! [X0] : ((humble(X0) | ~quiet(X0)) => strong(X0)) [input p11]
25. ~strong(paul) [input hypothesis]
32. (~quiet(paul) & ... | 0 |
If john is strong or tall then susan is not patient or not generous. Everyone who is not patient is old or not calm. If someone is brave then someone is both kind and not rich and vice versa. Everyone who is funny or not old is both kind and not calm and vice versa. Everyone who is generous or not brave is not patient ... | Alice is happy. | neutral | (((strong(john)|tall(john)))=>((~patient(susan)|~generous(susan))))&
(![X]:(~patient(X)=>(old(X)|~calm(X))))&
((?[X]:(brave(X)))<=>(?[X]:((kind(X)&~rich(X)))))&
(![X]:((funny(X)|~old(X))<=>(kind(X)&~calm(X))))&
(![X]:((generous(X)|~brave(X))<=>~patient(X)))&
(![X]:(rich(X)=>(~kind(X)<~>brave(X))))&
((?[X]:((~patient(X)... | happy(alice) | [] | null | 0 |
Everyone who is either not creative or not wise is both not quiet and calm.
If someone is generous or funny then fred is both not rich and happy and vice versa.
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 n... | Mary is patient. | neutral | (![X]:((~creative(X)<~>~wise(X))=>(~quiet(X)&calm(X))))&
((?[X]:((generous(X)|funny(X))))<=>((~rich(fred)&happy(fred))))&
(![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)))&
(((... | patient(mary) | [] | null | 0 |
If someone is either not curious or old then susan is both happy and wise and vice versa.
If mary is either not creative or not funny then fred is both old and not wise and vice versa.
Everyone who is not wise is both not humble and brave.
Everyone who is not tall or not wise is tall.
If lucy is both quiet and not old ... | Susan is not strong. | neutral | ((?[X]:((~curious(X)<~>old(X))))<=>((happy(susan)&wise(susan))))&
(((~creative(mary)<~>~funny(mary)))<=>((old(fred)&~wise(fred))))&
(![X]:(~wise(X)=>(~humble(X)&brave(X))))&
(![X]:((~tall(X)|~wise(X))=>tall(X)))&
(((quiet(lucy)&~old(lucy)))<=>(?[X]:((calm(X)&brave(X)))))&
(((~strong(lucy)&~patient(lucy)))<=>(?[X]:((old... | ~strong(susan) | [] | null | 0 |
If fred is humble or not kind then lucy is happy and vice versa. Everyone who is not strong is either not quiet or happy. Everyone who is both not curious and brave is not creative or not curious. If fred is both strong and not kind then mary is not quiet or not funny. Everyone who is either curious or not patient is c... | Paul is not quiet. | neutral | (((humble(fred)|~kind(fred)))<=>(happy(lucy)))&
(![X]:(~strong(X)=>(~quiet(X)<~>happy(X))))&
(![X]:((~curious(X)&brave(X))=>(~creative(X)|~curious(X))))&
(((strong(fred)&~kind(fred)))=>((~quiet(mary)|~funny(mary))))&
(![X]:((curious(X)<~>~patient(X))<=>(curious(X)|~wise(X))))&
((quiet(fred))<=>((~happy(susan)<~>~tall(s... | ~quiet(paul) | [] | null | 0 |
If lucy is both kind and not happy then someone is calm or not brave.
If someone is both kind and not curious then mary is not generous and vice versa.
Everyone who is both not generous and not quiet is not funny and vice versa.
If someone is either wise or quiet then mary is not humble and vice versa.
Everyone who is ... | Fred is rich. | neutral | (((kind(lucy)&~happy(lucy)))=>(?[X]:((calm(X)|~brave(X)))))&
((?[X]:((kind(X)&~curious(X))))<=>(~generous(mary)))&
(![X]:((~generous(X)&~quiet(X))<=>~funny(X)))&
((?[X]:((wise(X)<~>quiet(X))))<=>(~humble(mary)))&
(![X]:((~funny(X)&~strong(X))<=>~kind(X)))&
(![X]:((~old(X)&~kind(X))<=>(generous(X)|~wise(X))))&
((?[X]:((... | rich(fred) | [] | null | 0 |
If someone is either kind or not creative then mary is either not kind or not humble. If someone is both not strong and not kind then someone is both not patient and not rich and vice versa. Everyone who is both old and creative is strong and vice versa. If someone is either not patient or happy then susan is either ha... | Mary is old. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((~kind(mary)<~>~humble(mary))))&
((?[X]:((~strong(X)&~kind(X))))<=>(?[X]:((~patient(X)&~rich(X)))))&
(![X]:((old(X)&creative(X))<=>strong(X)))&
((?[X]:((~patient(X)<~>happy(X))))=>((happy(susan)<~>patient(susan))))&
(![X]:(kind(X)=>~curious(X)))&
(((~rich(mary)<~>funny(mary)))<=>(~h... | old(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 197560378046570313998308
% SZS output start Proof for 197560378046570313998308
16. ! [X0] : ((patient(X0) <~> old(X0)) <=> patient(X0)) [input p15]
23. old(mary) [input hypothesis]
60. ! [X0] : ((((~old(X0) | ~patient(X0)) & (old(X0) | patient(X0))) | ~patient(X0)) & (patient(X0) | ((pati... | 0 |
If someone is not rich or not strong then someone is either funny or not funny and vice versa.
If mary is either rich or brave then someone is either patient or not happy.
Everyone who is happy is either not patient or patient and vice versa.
Everyone who is either generous or brave is either not tall or calm.
Everyone... | Mary is wise. | entailment | ((?[X]:((~rich(X)|~strong(X))))<=>(?[X]:((funny(X)<~>~funny(X)))))&
(((rich(mary)<~>brave(mary)))=>(?[X]:((patient(X)<~>~happy(X)))))&
(![X]:(happy(X)<=>(~patient(X)<~>patient(X))))&
(![X]:((generous(X)<~>brave(X))=>(~tall(X)<~>calm(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~calm(X)&patient(X))))&
(((~funny(paul)|calm(pa... | wise(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5900091727681323307295842
% SZS output start Proof for 5900091727681323307295842
14. ? [X0] : ~wise(X0) <=> (~tall(susan) & tall(susan)) [input p13]
25. ~wise(mary) [input hypothesis]
61. (? [X0] : ~wise(X0) | (tall(susan) | ~tall(susan))) & ((~tall(susan) & tall(susan)) | ! [X0] : wise(X... | 0 |
Everyone who is not patient is not quiet or old and vice versa.
Everyone who is both patient and kind is not rich and vice versa.
Everyone who is patient is both not happy and not old.
If john is wise or old then someone is either not brave or old and vice versa.
Everyone who is not creative or funny is both generous a... | Susan is not wise. | contradiction | (![X]:(~patient(X)<=>(~quiet(X)|old(X))))&
(![X]:((patient(X)&kind(X))<=>~rich(X)))&
(![X]:(patient(X)=>(~happy(X)&~old(X))))&
(((wise(john)|old(john)))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:((~creative(X)|funny(X))<=>(generous(X)&~happy(X))))&
((?[X]:((quiet(X)<~>curious(X))))=>((kind(susan)<~>~rich(susan))))&
((?[X... | ~wise(susan) | [
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6836023118418707146599776
% SZS output start Proof for 6836023118418707146599776
2. ! [X0] : ((kind(X0) & patient(X0)) <=> ~rich(X0)) [input p1]
3. ! [X0] : (patient(X0) => (~old(X0) & ~happy(X0))) [input p2]
8. ! [X0] : ((~curious(X0) & rich(X0)) <=> ~happy(X0)) [input p7]
12. ? [X0] : (... | 0 |
Everyone who is either humble or kind is both not strong and strong and vice versa. Everyone who is not generous or not quiet is either strong or kind and vice versa. Everyone who is not wise or not creative is both not funny and strong and vice versa. If mary is kind or not patient then alice is either tall or curious... | Alice is generous. | entailment | (![X]:((humble(X)<~>kind(X))<=>(~strong(X)&strong(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(strong(X)<~>kind(X))))&
(![X]:((~wise(X)|~creative(X))<=>(~funny(X)&strong(X))))&
(((kind(mary)|~patient(mary)))<=>((tall(alice)<~>curious(alice))))&
(![X]:(~creative(X)<=>(brave(X)&kind(X))))&
(![X]:((~funny(X)|~patient(X))<=>~... | generous(alice) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4696725175445021573991741
% SZS output start Proof for 4696725175445021573991741
1. ! [X0] : ((humble(X0) <~> kind(X0)) <=> (strong(X0) & ~strong(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (strong(X0) <~> kind(X0))) [input p1]
3. ! [X0] : ((~creative(X0) | ~wise(X0)) <... | 0 |
If someone is not tall then susan is generous or kind and vice versa. Everyone who is not patient is either wise or strong and vice versa. Everyone who is calm is both not wise and not funny. Everyone who is both not curious and not rich is rich and vice versa. If someone is not old or not calm then lucy is funny or ha... | Fred is not rich. | entailment | ((?[X]:(~tall(X)))<=>((generous(susan)|kind(susan))))&
(![X]:(~patient(X)<=>(wise(X)<~>strong(X))))&
(![X]:(calm(X)=>(~wise(X)&~funny(X))))&
(![X]:((~curious(X)&~rich(X))<=>rich(X)))&
((?[X]:((~old(X)|~calm(X))))<=>((funny(lucy)|happy(lucy))))&
(((~creative(mary)<~>~funny(mary)))=>((strong(alice)&~quiet(alice))))&
((?[... | ~rich(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3742426883280214647647658
% SZS output start Proof for 3742426883280214647647658
4. ! [X0] : ((~rich(X0) & ~curious(X0)) <=> rich(X0)) [input p3]
25. rich(fred) [input hypothesis]
44. ! [X0] : (((~rich(X0) & ~curious(X0)) | ~rich(X0)) & (rich(X0) | (rich(X0) | curious(X0)))) [nnf transfor... | 0 |
Everyone who is either not old or not creative is calm and vice versa.
Everyone who is both strong and kind is either calm or not funny.
If someone is brave or not strong then fred is both not calm and humble.
If susan is both not brave and not old then paul is either not patient or not curious and vice versa.
If mary ... | Paul is not patient. | contradiction | (![X]:((~old(X)<~>~creative(X))<=>calm(X)))&
(![X]:((strong(X)&kind(X))=>(calm(X)<~>~funny(X))))&
((?[X]:((brave(X)|~strong(X))))=>((~calm(fred)&humble(fred))))&
(((~brave(susan)&~old(susan)))<=>((~patient(paul)<~>~curious(paul))))&
(((~brave(mary)<~>brave(mary)))<=>(?[X]:((curious(X)<~>happy(X)))))&
(((curious(mary)<~... | ~patient(paul) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 717524794848894885119816
% SZS output start Proof for 717524794848894885119816
23. patient(paul) [input p22]
24. ~patient(paul) [input hypothesis]
151. patient(paul) [cnf transformation 23]
152. ~patient(paul) [cnf transformation 24]
184. 6 <=> patient(paul) [avatar definition]
339. 6 [av... | 0 |
If fred is not humble or tall then paul is curious.
Everyone who is not wise is quiet.
If paul is both brave and not generous then susan is not calm and vice versa.
Everyone who is both not tall and not creative is not old.
If someone is kind then someone is brave or not wise and vice versa.
If someone is either genero... | Alice is creative. | contradiction | (((~humble(fred)|tall(fred)))=>(curious(paul)))&
(![X]:(~wise(X)=>quiet(X)))&
(((brave(paul)&~generous(paul)))<=>(~calm(susan)))&
(![X]:((~tall(X)&~creative(X))=>~old(X)))&
((?[X]:(kind(X)))<=>(?[X]:((brave(X)|~wise(X)))))&
((?[X]:((generous(X)<~>~calm(X))))=>((~strong(alice)|~brave(alice))))&
(![X]:((rich(X)&~creative... | creative(alice) | [
"p6",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6505728849488134596336440
% SZS output start Proof for 6505728849488134596336440
7. ! [X0] : ((~creative(X0) & rich(X0)) <=> (humble(X0) | ~happy(X0))) [input p6]
16. ? [X0] : (brave(X0) & ~old(X0)) => humble(alice) [input p15]
18. ~rich(paul) & brave(paul) [input p17]
19. ~calm(paul) & ~... | 0 |
Everyone who is not quiet or not tall is either creative or not quiet.
If john is both not patient and not creative then someone is calm or humble.
Everyone who is either not strong or wise is tall and vice versa.
Everyone who is both not rich and not patient is both not wise and not calm and vice versa.
If paul is bot... | Fred is tall. | contradiction | (![X]:((~quiet(X)|~tall(X))=>(creative(X)<~>~quiet(X))))&
(((~patient(john)&~creative(john)))=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((~strong(X)<~>wise(X))<=>tall(X)))&
(![X]:((~rich(X)&~patient(X))<=>(~wise(X)&~calm(X))))&
(((calm(paul)&creative(paul)))<=>(?[X]:((happy(X)|quiet(X)))))&
((rich(fred))=>(?[X]:((generous(... | tall(fred) | [
"p2",
"p6",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7919578214748866785697790
% SZS output start Proof for 7919578214748866785697790
3. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> tall(X0)) [input p2]
7. ! [X0] : (curious(X0) => (~curious(X0) <~> strong(X0))) [input p6]
11. ! [X0] : (wise(X0) => (creative(X0) & ~brave(X0))) [input p10]
15. ! ... | 0 |
Everyone who is either not funny or kind is brave or not quiet and vice versa. Everyone who is calm or not happy is either not creative or not strong and vice versa. Everyone who is both wise and creative is not generous. If alice is both not generous and wise then someone is both not happy and not funny and vice versa... | Paul is humble. | entailment | (![X]:((~funny(X)<~>kind(X))<=>(brave(X)|~quiet(X))))&
(![X]:((calm(X)|~happy(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((wise(X)&creative(X))=>~generous(X)))&
(((~generous(alice)&wise(alice)))<=>(?[X]:((~happy(X)&~funny(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~brave(fred)|~wise(fred))))&
(![X]:(rich(X)=>(happy... | humble(paul) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1527974179869944405285265
% SZS output start Proof for 1527974179869944405285265
2. ! [X0] : ((~happy(X0) | calm(X0)) <=> (~creative(X0) <~> ~strong(X0))) [input p1]
4. (wise(alice) & ~generous(alice)) <=> ? [X0] : (~funny(X0) & ~happy(X0)) [input p3]
6. ! [X0] : (rich(X0) => (~tall(X0) &... | 0 |
Everyone who is both brave and not patient is patient.
Everyone who is patient is either not creative or tall.
Everyone who is both kind and old is not generous or not rich.
Everyone who is either quiet or wise is tall or not happy and vice versa.
If lucy is not creative then someone is both old and not creative and vi... | Mary is not generous. | neutral | (![X]:((brave(X)&~patient(X))=>patient(X)))&
(![X]:(patient(X)=>(~creative(X)<~>tall(X))))&
(![X]:((kind(X)&old(X))=>(~generous(X)|~rich(X))))&
(![X]:((quiet(X)<~>wise(X))<=>(tall(X)|~happy(X))))&
((~creative(lucy))<=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((~brave(X)|generous(X))<=>(~calm(X)|tall(X))))&
((?[X]:((~old(... | ~generous(mary) | [] | null | 0 |
Everyone who is not happy or patient is not kind or kind.
Everyone who is either not brave or not generous is both happy and patient and vice versa.
Everyone who is either not wise or curious is calm.
Everyone who is wise is either not wise or not calm and vice versa.
If mary is either not brave or not rich then someon... | John is wise. | neutral | (![X]:((~happy(X)|patient(X))=>(~kind(X)|kind(X))))&
(![X]:((~brave(X)<~>~generous(X))<=>(happy(X)&patient(X))))&
(![X]:((~wise(X)<~>curious(X))=>calm(X)))&
(![X]:(wise(X)<=>(~wise(X)<~>~calm(X))))&
(((~brave(mary)<~>~rich(mary)))<=>(?[X]:((humble(X)<~>patient(X)))))&
(![X]:((generous(X)&tall(X))<=>(patient(X)|calm(X))... | wise(john) | [] | null | 0 |
If lucy is funny or brave then someone is rich or brave and vice versa. Everyone who is both kind and wise is both kind and not old. Everyone who is creative is curious and vice versa. If mary is humble or not curious then someone is not calm. Everyone who is strong or not quiet is both not creative and happy. Everyone... | Mary is creative. | contradiction | (((funny(lucy)|brave(lucy)))<=>(?[X]:((rich(X)|brave(X)))))&
(![X]:((kind(X)&wise(X))=>(kind(X)&~old(X))))&
(![X]:(creative(X)<=>curious(X)))&
(((humble(mary)|~curious(mary)))=>(?[X]:(~calm(X))))&
(![X]:((strong(X)|~quiet(X))=>(~creative(X)&happy(X))))&
(![X]:(wise(X)=>(~strong(X)<~>~old(X))))&
(![X]:(happy(X)=>(~curio... | creative(mary) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6132823431553826229636749
% SZS output start Proof for 6132823431553826229636749
3. ! [X0] : (creative(X0) <=> curious(X0)) [input p2]
5. ! [X0] : ((~quiet(X0) | strong(X0)) => (happy(X0) & ~creative(X0))) [input p4]
7. ! [X0] : (happy(X0) => (~calm(X0) & ~curious(X0))) [input p6]
8. ! [X... | 0 |
If someone is not generous or not tall then mary is not creative or not generous and vice versa. If someone is not patient or not quiet then someone is both not funny and kind. Everyone who is either not calm or curious is both calm and not generous and vice versa. Everyone who is not humble or strong is both not brave... | Lucy is not generous. | contradiction | ((?[X]:((~generous(X)|~tall(X))))<=>((~creative(mary)|~generous(mary))))&
((?[X]:((~patient(X)|~quiet(X))))=>(?[X]:((~funny(X)&kind(X)))))&
(![X]:((~calm(X)<~>curious(X))<=>(calm(X)&~generous(X))))&
(![X]:((~humble(X)|strong(X))=>(~brave(X)&~calm(X))))&
((?[X]:((calm(X)&curious(X))))<=>(?[X]:((old(X)|patient(X)))))&
(!... | ~generous(lucy) | [
"p3",
"p4",
"p7",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1430207521020229591343575
% SZS output start Proof for 1430207521020229591343575
4. ! [X0] : ((strong(X0) | ~humble(X0)) => (~calm(X0) & ~brave(X0))) [input p3]
5. ? [X0] : (curious(X0) & calm(X0)) <=> ? [X0] : (patient(X0) | old(X0)) [input p4]
8. ! [X0] : ((~brave(X0) | humble(X0)) => (... | 0 |
Everyone who is both tall and not curious is rich and vice versa. Everyone who is curious is wise or brave and vice versa. Everyone who is calm is not generous. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or not humble.... | Lucy is not generous. | neutral | (![X]:((tall(X)&~curious(X))<=>rich(X)))&
(![X]:(curious(X)<=>(wise(X)|brave(X))))&
(![X]:(calm(X)=>~generous(X)))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred... | ~generous(lucy) | [] | null | 0 |
Everyone who is either not generous or humble is both not funny and not patient and vice versa.
If someone is curious or not brave then someone is not humble.
If someone is both patient and brave then susan is not funny.
If john is both kind and not kind then someone is old and vice versa.
Everyone who is either not qu... | Alice is creative. | neutral | (![X]:((~generous(X)<~>humble(X))<=>(~funny(X)&~patient(X))))&
((?[X]:((curious(X)|~brave(X))))=>(?[X]:(~humble(X))))&
((?[X]:((patient(X)&brave(X))))=>(~funny(susan)))&
(((kind(john)&~kind(john)))<=>(?[X]:(old(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>(patient(X)&~funny(X))))&
(![X]:((rich(X)<~>~strong(X))<=>(wise(X)|p... | creative(alice) | [] | null | 0 |
Everyone who is either brave or not quiet is both not tall and old and vice versa.
Everyone who is both rich and not quiet is calm or rich and vice versa.
Everyone who is not strong or rich is not creative.
Everyone who is not tall is either quiet or curious.
If alice is not tall then alice is not kind and vice versa.
... | Paul is not brave. | entailment | (![X]:((brave(X)<~>~quiet(X))<=>(~tall(X)&old(X))))&
(![X]:((rich(X)&~quiet(X))<=>(calm(X)|rich(X))))&
(![X]:((~strong(X)|rich(X))=>~creative(X)))&
(![X]:(~tall(X)=>(quiet(X)<~>curious(X))))&
((~tall(alice))<=>(~kind(alice)))&
(![X]:((humble(X)&~strong(X))<=>(generous(X)|calm(X))))&
(![X]:((~old(X)&~generous(X))<=>(hap... | ~brave(paul) | [
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2001247661047326432102962
% SZS output start Proof for 2001247661047326432102962
6. ! [X0] : ((~strong(X0) & humble(X0)) <=> (calm(X0) | generous(X0))) [input p5]
7. ! [X0] : ((~generous(X0) & ~old(X0)) <=> (~strong(X0) | happy(X0))) [input p6]
15. ? [X0] : brave(X0) => (generous(john) & ... | 0 |
Everyone who is either not rich or not generous is either not tall or creative.
Everyone who is both not brave and not rich is not humble and vice versa.
If someone is either kind or not calm then susan is either not patient or not quiet.
If john is either not old or strong then someone is quiet.
Everyone who is either... | Alice is not brave. | entailment | (![X]:((~rich(X)<~>~generous(X))=>(~tall(X)<~>creative(X))))&
(![X]:((~brave(X)&~rich(X))<=>~humble(X)))&
((?[X]:((kind(X)<~>~calm(X))))=>((~patient(susan)<~>~quiet(susan))))&
(((~old(john)<~>strong(john)))=>(?[X]:(quiet(X))))&
(![X]:((~generous(X)<~>~rich(X))=>(quiet(X)&curious(X))))&
(![X]:((~creative(X)<~>~patient(X... | ~brave(alice) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8344693405978091632872974
% SZS output start Proof for 8344693405978091632872974
2. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> ~humble(X0)) [input p1]
5. ! [X0] : ((~generous(X0) <~> ~rich(X0)) => (curious(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~creative(X0) <~> ~patient(X0)) <=> (funny(X... | 0 |
Everyone who is not creative or creative is either not curious or quiet.
Everyone who is strong is not strong or not curious.
Everyone who is both kind and curious is patient and vice versa.
Everyone who is both kind and not humble is creative.
If lucy is not funny then someone is not old and vice versa.
Everyone who i... | Lucy is not kind. | contradiction | (![X]:((~creative(X)|creative(X))=>(~curious(X)<~>quiet(X))))&
(![X]:(strong(X)=>(~strong(X)|~curious(X))))&
(![X]:((kind(X)&curious(X))<=>patient(X)))&
(![X]:((kind(X)&~humble(X))=>creative(X)))&
((~funny(lucy))<=>(?[X]:(~old(X))))&
(![X]:((funny(X)<~>brave(X))<=>~brave(X)))&
(((rich(alice)|~rich(alice)))=>(old(john))... | ~kind(lucy) | [
"p0",
"p2",
"p4",
"p5",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7862598041183990885235154
% SZS output start Proof for 7862598041183990885235154
1. ! [X0] : ((creative(X0) | ~creative(X0)) => (~curious(X0) <~> quiet(X0))) [input p0]
3. ! [X0] : ((curious(X0) & kind(X0)) <=> patient(X0)) [input p2]
5. ~funny(lucy) <=> ? [X0] : ~old(X0) [input p4]
6. ! ... | 0 |
If paul is old or not kind then susan is brave or rich and vice versa. If someone is both not generous and not calm then lucy is either not strong or not tall and vice versa. If someone is either not strong or not funny then alice is not funny or not patient. If mary is brave then someone is old or not old. Everyone wh... | Mary is generous. | entailment | (((old(paul)|~kind(paul)))<=>((brave(susan)|rich(susan))))&
((?[X]:((~generous(X)&~calm(X))))<=>((~strong(lucy)<~>~tall(lucy))))&
((?[X]:((~strong(X)<~>~funny(X))))=>((~funny(alice)|~patient(alice))))&
((brave(mary))=>(?[X]:((old(X)|~old(X)))))&
(![X]:(~happy(X)=>~creative(X)))&
((?[X]:(brave(X)))=>(~creative(mary)))&
... | generous(mary) | [
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8986215082508466113517172
% SZS output start Proof for 8986215082508466113517172
2. ? [X0] : (~calm(X0) & ~generous(X0)) <=> (~strong(lucy) <~> ~tall(lucy)) [input p1]
11. ! [X0] : ((calm(X0) | ~tall(X0)) <=> (~calm(X0) & ~strong(X0))) [input p10]
24. ~generous(mary) [input hypothesis]
45... | 0 |
If someone is both not calm and not rich then paul is either not old or funny and vice versa. If someone is not quiet then alice is happy or not patient and vice versa. Everyone who is either not funny or not brave is not calm or not quiet and vice versa. Everyone who is tall or funny is both not calm and not patient. ... | Susan is not curious. | neutral | ((?[X]:((~calm(X)&~rich(X))))<=>((~old(paul)<~>funny(paul))))&
((?[X]:(~quiet(X)))<=>((happy(alice)|~patient(alice))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~calm(X)|~quiet(X))))&
(![X]:((tall(X)|funny(X))=>(~calm(X)&~patient(X))))&
(![X]:((quiet(X)&~funny(X))<=>(~rich(X)&~funny(X))))&
(![X]:((wise(X)&tall(X))<=>(~calm(X)... | ~curious(susan) | [] | null | 0 |
If mary is tall or not patient then alice is either not humble or curious.
Everyone who is not calm is either generous or not strong and vice versa.
Everyone who is old or not tall is curious or wise and vice versa.
If susan is not kind or quiet then someone is not patient and vice versa.
Everyone who is not quiet is s... | Alice is not happy. | entailment | (((tall(mary)|~patient(mary)))=>((~humble(alice)<~>curious(alice))))&
(![X]:(~calm(X)<=>(generous(X)<~>~strong(X))))&
(![X]:((old(X)|~tall(X))<=>(curious(X)|wise(X))))&
(((~kind(susan)|quiet(susan)))<=>(?[X]:(~patient(X))))&
(![X]:(~quiet(X)<=>(strong(X)|~tall(X))))&
(((tall(paul)<~>happy(paul)))<=>(?[X]:(~generous(X))... | ~happy(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2444170015504662027423939
% SZS output start Proof for 2444170015504662027423939
9. ! [X0] : ((rich(X0) | happy(X0)) <=> ~happy(X0)) [input p8]
24. happy(alice) [input hypothesis]
48. ! [X0] : (((rich(X0) | happy(X0)) | happy(X0)) & (~happy(X0) | (~rich(X0) & ~happy(X0)))) [nnf transforma... | 0 |
If fred is either rich or not tall then mary is generous. If someone is not kind or not creative then susan is not brave or curious. Everyone who is not patient is not humble or not creative and vice versa. Everyone who is not rich or quiet is not old or not strong and vice versa. If susan is calm then mary is both str... | Mary is patient. | entailment | (((rich(fred)<~>~tall(fred)))=>(generous(mary)))&
((?[X]:((~kind(X)|~creative(X))))=>((~brave(susan)|curious(susan))))&
(![X]:(~patient(X)<=>(~humble(X)|~creative(X))))&
(![X]:((~rich(X)|quiet(X))<=>(~old(X)|~strong(X))))&
((calm(susan))<=>((strong(mary)&~curious(mary))))&
(((~tall(alice)|calm(alice)))=>(?[X]:(quiet(X)... | patient(mary) | [
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8860168664577880512870799
% SZS output start Proof for 8860168664577880512870799
10. ! [X0] : (old(X0) => (tall(X0) & ~old(X0))) [input p9]
14. ! [X0] : ((~creative(X0) & old(X0)) <=> (calm(X0) | curious(X0))) [input p13]
16. ! [X0] : ((~patient(X0) | ~brave(X0)) => (~patient(X0) & calm(X... | 0 |
Everyone who is either not calm or funny is both not generous and not kind and vice versa. If lucy is not happy then mary is not old or not tall. Everyone who is either funny or generous is not patient or tall and vice versa. If paul is both not strong and not wise then mary is either not old or generous and vice versa... | John is funny. | contradiction | (![X]:((~calm(X)<~>funny(X))<=>(~generous(X)&~kind(X))))&
((~happy(lucy))=>((~old(mary)|~tall(mary))))&
(![X]:((funny(X)<~>generous(X))<=>(~patient(X)|tall(X))))&
(((~strong(paul)&~wise(paul)))<=>((~old(mary)<~>generous(mary))))&
(![X]:((~old(X)<~>strong(X))<=>(patient(X)<~>funny(X))))&
(![X]:((patient(X)|~old(X))=>(~s... | funny(john) | [
"p0",
"p5",
"p11",
"p13",
"p15",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1102243763763826454943564
% SZS output start Proof for 1102243763763826454943564
1. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~kind(X0) & ~generous(X0))) [input p0]
6. ! [X0] : ((~old(X0) | patient(X0)) => (~humble(X0) & ~strong(X0))) [input p5]
12. ! [X0] : ((~generous(X0) | ~kind(X0)) <=... | 0 |
If someone is either old or funny then susan is either not rich or humble and vice versa. Everyone who is both rich and creative is not patient. If alice is both not quiet and not tall then someone is kind. If mary is wise or brave then paul is not brave. Everyone who is both kind and not tall is either not wise or hum... | Mary is curious. | entailment | ((?[X]:((old(X)<~>funny(X))))<=>((~rich(susan)<~>humble(susan))))&
(![X]:((rich(X)&creative(X))=>~patient(X)))&
(((~quiet(alice)&~tall(alice)))=>(?[X]:(kind(X))))&
(((wise(mary)|brave(mary)))=>(~brave(paul)))&
(![X]:((kind(X)&~tall(X))<=>(~wise(X)<~>humble(X))))&
(![X]:((~calm(X)&old(X))<=>(old(X)|curious(X))))&
(![X]:... | curious(mary) | [
"p1",
"p5",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8705601286710062509940107
% SZS output start Proof for 8705601286710062509940107
2. ! [X0] : ((creative(X0) & rich(X0)) => ~patient(X0)) [input p1]
6. ! [X0] : ((old(X0) & ~calm(X0)) <=> (curious(X0) | old(X0))) [input p5]
7. ! [X0] : ((creative(X0) & ~old(X0)) <=> (kind(X0) & ~curious(X0... | 0 |
If alice is both not curious and not kind then someone is both not strong and not generous.
If someone is not kind or old then someone is generous.
Everyone who is not curious or tall is happy or not humble.
Everyone who is both not old and humble is both not humble and generous and vice versa.
Everyone who is strong i... | Fred is kind. | entailment | (((~curious(alice)&~kind(alice)))=>(?[X]:((~strong(X)&~generous(X)))))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|tall(X))=>(happy(X)|~humble(X))))&
(![X]:((~old(X)&humble(X))<=>(~humble(X)&generous(X))))&
(![X]:(strong(X)=>~old(X)))&
(![X]:(~generous(X)<=>(creative(X)|~quiet(X))))&
(![X]:... | kind(fred) | [
"p1",
"p5",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 892531507289266407920591
% SZS output start Proof for 892531507289266407920591
2. ? [X0] : (old(X0) | ~kind(X0)) => ? [X0] : generous(X0) [input p1]
6. ! [X0] : (~generous(X0) <=> (~quiet(X0) | creative(X0))) [input p5]
13. ! [X0] : ((~funny(X0) | generous(X0)) => (brave(X0) & kind(X0))) ... | 0 |
Everyone who is generous is brave.
Everyone who is both not wise and humble is generous.
Everyone who is both curious and not wise is both creative and not generous.
Everyone who is either patient or quiet is either not creative or not brave and vice versa.
If someone is either not kind or not quiet then mary is not ca... | Paul is tall. | entailment | (![X]:(generous(X)=>brave(X)))&
(![X]:((~wise(X)&humble(X))=>generous(X)))&
(![X]:((curious(X)&~wise(X))=>(creative(X)&~generous(X))))&
(![X]:((patient(X)<~>quiet(X))<=>(~creative(X)<~>~brave(X))))&
((?[X]:((~kind(X)<~>~quiet(X))))=>(~calm(mary)))&
(![X]:(tall(X)<=>(rich(X)|wise(X))))&
((?[X]:((humble(X)|quiet(X))))=>(... | tall(paul) | [
"p0",
"p1",
"p5",
"p7",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2106585288870231440713400
% SZS output start Proof for 2106585288870231440713400
1. ! [X0] : (generous(X0) => brave(X0)) [input p0]
2. ! [X0] : ((humble(X0) & ~wise(X0)) => generous(X0)) [input p1]
6. ! [X0] : (tall(X0) <=> (wise(X0) | rich(X0))) [input p5]
8. ! [X0] : ((~happy(X0) & calm... | 0 |
If mary is rich then someone is kind or not patient.
Everyone who is both not brave and patient is happy or funny and vice versa.
Everyone who is calm is tall.
If fred is either kind or not strong then someone is either not kind or curious and vice versa.
If someone is both quiet and generous then someone is either ric... | Fred is strong. | contradiction | ((rich(mary))=>(?[X]:((kind(X)|~patient(X)))))&
(![X]:((~brave(X)&patient(X))<=>(happy(X)|funny(X))))&
(![X]:(calm(X)=>tall(X)))&
(((kind(fred)<~>~strong(fred)))<=>(?[X]:((~kind(X)<~>curious(X)))))&
((?[X]:((quiet(X)&generous(X))))=>(?[X]:((rich(X)<~>quiet(X)))))&
((?[X]:((calm(X)&strong(X))))<=>((~humble(mary)&wise(ma... | strong(fred) | [
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5160998424760981061579560
% SZS output start Proof for 5160998424760981061579560
11. ! [X0] : ((~curious(X0) | ~brave(X0)) <=> (humble(X0) & tall(X0))) [input p10]
14. ! [X0] : ((strong(X0) & curious(X0)) => (~strong(X0) & creative(X0))) [input p13]
20. ~tall(fred) & generous(fred) [input... | 0 |
If mary is both quiet and not strong then lucy is both calm and quiet and vice versa.
If someone is not funny then paul is humble and vice versa.
Everyone who is not quiet or not strong is not old or not brave.
Everyone who is either not rich or not generous is not calm or not curious.
If paul is both not generous and ... | Paul is not patient. | neutral | (((quiet(mary)&~strong(mary)))<=>((calm(lucy)&quiet(lucy))))&
((?[X]:(~funny(X)))<=>(humble(paul)))&
(![X]:((~quiet(X)|~strong(X))=>(~old(X)|~brave(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~calm(X)|~curious(X))))&
(((~generous(paul)&~strong(paul)))=>((patient(lucy)<~>~strong(lucy))))&
(![X]:(~generous(X)<=>(~funny(X)|... | ~patient(paul) | [] | null | 0 |
If someone is quiet then paul is not humble. Everyone who is both funny and not brave is both not old and creative and vice versa. Everyone who is both happy and tall is patient. If someone is both curious and generous then lucy is generous. If someone is old or not curious then john is old or not generous. Everyone wh... | Paul is not rich. | contradiction | ((?[X]:(quiet(X)))=>(~humble(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~old(X)&creative(X))))&
(![X]:((happy(X)&tall(X))=>patient(X)))&
((?[X]:((curious(X)&generous(X))))=>(generous(lucy)))&
((?[X]:((old(X)|~curious(X))))=>((old(john)|~generous(john))))&
(![X]:(rich(X)<=>(happy(X)|funny(X))))&
(((~curious(alice)&~brave(a... | ~rich(paul) | [
"p0",
"p5",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2429753525737411228771013
% SZS output start Proof for 2429753525737411228771013
1. ? [X0] : quiet(X0) => ~humble(paul) [input p0]
6. ! [X0] : (rich(X0) <=> (funny(X0) | happy(X0))) [input p5]
10. ! [X0] : (~humble(X0) => (~brave(X0) & funny(X0))) [input p9]
16. ! [X0] : (quiet(X0) <=> ~o... | 0 |
Everyone who is strong is not humble or creative. If paul is not calm or not old then someone is not strong or patient. Everyone who is humble is both not brave and not happy. Everyone who is not creative or tall is either not patient or old and vice versa. Everyone who is creative is not rich and vice versa. If someon... | John is humble. | contradiction | (![X]:(strong(X)=>(~humble(X)|creative(X))))&
(((~calm(paul)|~old(paul)))=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:(humble(X)=>(~brave(X)&~happy(X))))&
(![X]:((~creative(X)|tall(X))<=>(~patient(X)<~>old(X))))&
(![X]:(creative(X)<=>~rich(X)))&
((?[X]:((~patient(X)&rich(X))))=>((happy(lucy)<~>funny(lucy))))&
(![X]:((str... | humble(john) | [
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 246482005940641061121827
% SZS output start Proof for 246482005940641061121827
3. ! [X0] : (humble(X0) => (~happy(X0) & ~brave(X0))) [input p2]
18. quiet(john) & happy(john) [input p17]
24. humble(john) [input hypothesis]
26. happy(john) [pure predicate removal 18]
30. ! [X0] : ((~happy(X... | 0 |
If alice is not old or strong then someone is not generous or not funny.
If susan is not old then someone is both not generous and creative.
If lucy is happy then someone is not curious and vice versa.
Everyone who is both generous and old is either rich or not calm and vice versa.
If someone is quiet or not calm then ... | Lucy is old. | neutral | (((~old(alice)|strong(alice)))=>(?[X]:((~generous(X)|~funny(X)))))&
((~old(susan))=>(?[X]:((~generous(X)&creative(X)))))&
((happy(lucy))<=>(?[X]:(~curious(X))))&
(![X]:((generous(X)&old(X))<=>(rich(X)<~>~calm(X))))&
((?[X]:((quiet(X)|~calm(X))))=>(~old(paul)))&
((?[X]:((~calm(X)|~happy(X))))<=>((~rich(susan)<~>creative... | old(lucy) | [] | null | 0 |
Everyone who is both curious and not tall is both not calm and not quiet and vice versa.
Everyone who is generous is not old and vice versa.
Everyone who is both rich and kind is either wise or funny and vice versa.
If mary is old or not wise then someone is either not tall or old and vice versa.
If someone is wise the... | Susan is creative. | neutral | (![X]:((curious(X)&~tall(X))<=>(~calm(X)&~quiet(X))))&
(![X]:(generous(X)<=>~old(X)))&
(![X]:((rich(X)&kind(X))<=>(wise(X)<~>funny(X))))&
(((old(mary)|~wise(mary)))<=>(?[X]:((~tall(X)<~>old(X)))))&
((?[X]:(wise(X)))<=>(?[X]:(~strong(X))))&
(![X]:((patient(X)|calm(X))<=>(kind(X)<~>~funny(X))))&
(![X]:((~tall(X)<~>calm(X... | creative(susan) | [] | null | 0 |
Everyone who is not creative is not wise or strong and vice versa.
If susan is not wise then someone is wise and vice versa.
Everyone who is not brave is either not generous or creative and vice versa.
If someone is not patient then someone is calm or curious.
Everyone who is both not wise and not funny is not generous... | Lucy is not tall. | entailment | (![X]:(~creative(X)<=>(~wise(X)|strong(X))))&
((~wise(susan))<=>(?[X]:(wise(X))))&
(![X]:(~brave(X)<=>(~generous(X)<~>creative(X))))&
((?[X]:(~patient(X)))=>(?[X]:((calm(X)|curious(X)))))&
(![X]:((~wise(X)&~funny(X))=>(~generous(X)|~curious(X))))&
(![X]:((patient(X)<~>old(X))<=>(~curious(X)&~humble(X))))&
(((~curious(s... | ~tall(lucy) | [
"p5",
"p8",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4301130083015723716839384
% SZS output start Proof for 4301130083015723716839384
6. ! [X0] : ((patient(X0) <~> old(X0)) <=> (~humble(X0) & ~curious(X0))) [input p5]
9. ? [X0] : (~old(X0) & tall(X0)) <=> (quiet(alice) & ~quiet(alice)) [input p8]
18. ~patient(lucy) [input p17]
19. happy(luc... | 0 |
If fred is either not quiet or wise then someone is either wise or old.
Everyone who is generous or calm is both rich and not wise.
If someone is not generous or not calm then someone is rich or happy and vice versa.
Everyone who is both quiet and brave is creative and vice versa.
If someone is both not humble and not ... | Mary is not old. | contradiction | (((~quiet(fred)<~>wise(fred)))=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((generous(X)|calm(X))=>(rich(X)&~wise(X))))&
((?[X]:((~generous(X)|~calm(X))))<=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((quiet(X)&brave(X))<=>creative(X)))&
((?[X]:((~humble(X)&~creative(X))))=>(?[X]:((generous(X)|rich(X)))))&
((?[X]:((~quiet(X)<~>~pati... | ~old(mary) | [
"p3",
"p6",
"p8",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4820758626512301714281888
% SZS output start Proof for 4820758626512301714281888
4. ! [X0] : ((brave(X0) & quiet(X0)) <=> creative(X0)) [input p3]
7. ! [X0] : (~quiet(X0) <=> (generous(X0) <~> ~old(X0))) [input p6]
9. ! [X0] : (creative(X0) => ~quiet(X0)) [input p8]
13. ! [X0] : ((~creati... | 0 |
If someone is either funny or not quiet then someone is both not rich and wise.
Everyone who is not quiet is rich.
If paul is both not quiet and happy then someone is both not happy and quiet and vice versa.
If john is both not wise and rich then fred is either strong or tall.
Everyone who is generous or wise is quiet.... | Alice is calm. | entailment | ((?[X]:((funny(X)<~>~quiet(X))))=>(?[X]:((~rich(X)&wise(X)))))&
(![X]:(~quiet(X)=>rich(X)))&
(((~quiet(paul)&happy(paul)))<=>(?[X]:((~happy(X)&quiet(X)))))&
(((~wise(john)&rich(john)))=>((strong(fred)<~>tall(fred))))&
(![X]:((generous(X)|wise(X))=>quiet(X)))&
((?[X]:((tall(X)|funny(X))))<=>((~tall(susan)&~rich(susan)))... | calm(alice) | [
"p1",
"p7",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 193297276576667575637555
% SZS output start Proof for 193297276576667575637555
2. ! [X0] : (~quiet(X0) => rich(X0)) [input p1]
8. ? [X0] : (~humble(X0) | tall(X0)) <=> ~quiet(alice) [input p7]
10. ? [X0] : (~quiet(X0) <~> happy(X0)) => ~brave(susan) [input p9]
13. ! [X0] : ((kind(X0) | ~b... | 0 |
Everyone who is not humble is either not old or not humble and vice versa.
Everyone who is both not old and not funny is both not kind and curious.
If lucy is happy or patient then someone is both not generous and not patient and vice versa.
Everyone who is not happy or tall is both not happy and brave.
If someone is n... | Paul is generous. | entailment | (![X]:(~humble(X)<=>(~old(X)<~>~humble(X))))&
(![X]:((~old(X)&~funny(X))=>(~kind(X)&curious(X))))&
(((happy(lucy)|patient(lucy)))<=>(?[X]:((~generous(X)&~patient(X)))))&
(![X]:((~happy(X)|tall(X))=>(~happy(X)&brave(X))))&
((?[X]:((~humble(X)|tall(X))))<=>(?[X]:((~wise(X)|creative(X)))))&
(![X]:((brave(X)&old(X))<=>(~ge... | generous(paul) | [
"p0",
"p2",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 942163682879793904885898
% SZS output start Proof for 942163682879793904885898
1. ! [X0] : (~humble(X0) <=> (~old(X0) <~> ~humble(X0))) [input p0]
3. (patient(lucy) | happy(lucy)) <=> ? [X0] : (~patient(X0) & ~generous(X0)) [input p2]
16. ! [X0] : ((~old(X0) <~> patient(X0)) <=> (~wise(X0... | 0 |
If someone is both not patient and creative then mary is both not brave and strong.
Everyone who is both not wise and not tall is happy or not tall.
If paul is not kind then paul is not generous or not kind and vice versa.
Everyone who is either quiet or not humble is humble.
Everyone who is creative or not strong is n... | Mary is not happy. | neutral | ((?[X]:((~patient(X)&creative(X))))=>((~brave(mary)&strong(mary))))&
(![X]:((~wise(X)&~tall(X))=>(happy(X)|~tall(X))))&
((~kind(paul))<=>((~generous(paul)|~kind(paul))))&
(![X]:((quiet(X)<~>~humble(X))=>humble(X)))&
(![X]:((creative(X)|~strong(X))<=>(~strong(X)|creative(X))))&
(![X]:((~tall(X)|tall(X))<=>(tall(X)&~rich... | ~happy(mary) | [] | null | 0 |
Everyone who is not funny is either patient or not curious and vice versa.
If someone is both not wise and not strong then someone is quiet and vice versa.
Everyone who is either calm or strong is both rich and not kind.
If paul is both not patient and not old then someone is not tall.
Everyone who is both not strong a... | Fred is calm. | entailment | (![X]:(~funny(X)<=>(patient(X)<~>~curious(X))))&
((?[X]:((~wise(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
(![X]:((calm(X)<~>strong(X))=>(rich(X)&~kind(X))))&
(((~patient(paul)&~old(paul)))=>(?[X]:(~tall(X))))&
(![X]:((~strong(X)&~curious(X))=>(generous(X)&quiet(X))))&
(![X]:(~strong(X)=>(old(X)&~quiet(X))))&
((wise(susan)... | calm(fred) | [
"p2",
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9181903141845823612394762
% SZS output start Proof for 9181903141845823612394762
3. ! [X0] : ((calm(X0) <~> strong(X0)) => (~kind(X0) & rich(X0))) [input p2]
6. ! [X0] : (~strong(X0) => (~quiet(X0) & old(X0))) [input p5]
23. kind(fred) & ~old(fred) [input p22]
25. ~calm(fred) [input hypot... | 0 |
Everyone who is not calm or not generous is not curious or wise.
Everyone who is either not humble or not generous is either humble or old and vice versa.
Everyone who is patient is brave.
If mary is both curious and not rich then someone is calm.
If susan is both not generous and not humble then susan is both not humb... | Paul is not wise. | contradiction | (![X]:((~calm(X)|~generous(X))=>(~curious(X)|wise(X))))&
(![X]:((~humble(X)<~>~generous(X))<=>(humble(X)<~>old(X))))&
(![X]:(patient(X)=>brave(X)))&
(((curious(mary)&~rich(mary)))=>(?[X]:(calm(X))))&
(((~generous(susan)&~humble(susan)))=>((~humble(susan)&generous(susan))))&
(((creative(lucy)|~curious(lucy)))=>(curious(... | ~wise(paul) | [
"p0",
"p1",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6120621170979506322990339
% SZS output start Proof for 6120621170979506322990339
1. ! [X0] : ((~generous(X0) | ~calm(X0)) => (wise(X0) | ~curious(X0))) [input p0]
2. ! [X0] : ((~humble(X0) <~> ~generous(X0)) <=> (humble(X0) <~> old(X0))) [input p1]
12. ! [X0] : ((~patient(X0) & ~old(X0)) ... | 0 |
If paul is either humble or brave then someone is not tall and vice versa.
If someone is not rich then someone is either not humble or kind.
If someone is not quiet or not curious then fred is kind or humble and vice versa.
Everyone who is either quiet or not rich is not strong or not quiet and vice versa.
If susan is ... | Susan is not tall. | contradiction | (((humble(paul)<~>brave(paul)))<=>(?[X]:(~tall(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~humble(X)<~>kind(X)))))&
((?[X]:((~quiet(X)|~curious(X))))<=>((kind(fred)|humble(fred))))&
(![X]:((quiet(X)<~>~rich(X))<=>(~strong(X)|~quiet(X))))&
(((~funny(susan)&humble(susan)))=>((wise(john)<~>happy(john))))&
(![X]:((~generous(X)&~hu... | ~tall(susan) | [
"p1",
"p3",
"p5",
"p6",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3928974261926161504159901
% SZS output start Proof for 3928974261926161504159901
2. ? [X0] : ~rich(X0) => ? [X0] : (~humble(X0) <~> kind(X0)) [input p1]
4. ! [X0] : ((quiet(X0) <~> ~rich(X0)) <=> (~quiet(X0) | ~strong(X0))) [input p3]
6. ! [X0] : ((~humble(X0) & ~generous(X0)) <=> (kind(X... | 0 |
If someone is not humble or not quiet then john is humble or not curious and vice versa.
Everyone who is either old or not quiet is either not quiet or not creative.
Everyone who is not quiet or not creative is both strong and not wise and vice versa.
Everyone who is both not brave and kind is either not funny or not c... | Susan is quiet. | contradiction | ((?[X]:((~humble(X)|~quiet(X))))<=>((humble(john)|~curious(john))))&
(![X]:((old(X)<~>~quiet(X))=>(~quiet(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~creative(X))<=>(strong(X)&~wise(X))))&
(![X]:((~brave(X)&kind(X))=>(~funny(X)<~>~creative(X))))&
((strong(mary))=>(?[X]:((~tall(X)&~curious(X)))))&
(![X]:((~patient(X)<~>cal... | quiet(susan) | [
"p1",
"p7",
"p10",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2351026587598101695880887
% SZS output start Proof for 2351026587598101695880887
2. ! [X0] : ((old(X0) <~> ~quiet(X0)) => (~quiet(X0) <~> ~creative(X0))) [input p1]
8. ! [X0] : ((~wise(X0) | ~funny(X0)) => (kind(X0) & old(X0))) [input p7]
11. ? [X0] : (brave(X0) <~> calm(X0)) => (~wise(su... | 0 |
Everyone who is calm is both not happy and not tall.
If mary is not wise or not happy then someone is not funny and vice versa.
Everyone who is not rich is curious or quiet and vice versa.
If fred is both not calm and tall then susan is either not funny or not happy and vice versa.
If mary is either brave or not rich t... | Mary is creative. | contradiction | (![X]:(calm(X)=>(~happy(X)&~tall(X))))&
(((~wise(mary)|~happy(mary)))<=>(?[X]:(~funny(X))))&
(![X]:(~rich(X)<=>(curious(X)|quiet(X))))&
(((~calm(fred)&tall(fred)))<=>((~funny(susan)<~>~happy(susan))))&
(((brave(mary)<~>~rich(mary)))=>(?[X]:((~rich(X)|patient(X)))))&
((?[X]:((~happy(X)<~>brave(X))))=>(?[X]:((kind(X)<~>g... | creative(mary) | [
"p0",
"p2",
"p6",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3144538721807415557275761
% SZS output start Proof for 3144538721807415557275761
1. ! [X0] : (calm(X0) => (~tall(X0) & ~happy(X0))) [input p0]
3. ! [X0] : (~rich(X0) <=> (quiet(X0) | curious(X0))) [input p2]
7. ! [X0] : ((humble(X0) & curious(X0)) <=> (creative(X0) <~> happy(X0))) [input ... | 0 |
Everyone who is not quiet is either not quiet or calm.
Everyone who is not creative or brave is either happy or not happy and vice versa.
If someone is not brave or rich then fred is strong and vice versa.
Everyone who is kind or not quiet is either rich or curious and vice versa.
If fred is either tall or strong then ... | Alice is quiet. | entailment | (![X]:(~quiet(X)=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)|brave(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:((~brave(X)|rich(X))))<=>(strong(fred)))&
(![X]:((kind(X)|~quiet(X))<=>(rich(X)<~>curious(X))))&
(((tall(fred)<~>strong(fred)))=>(?[X]:((rich(X)&humble(X)))))&
(![X]:((patient(X)&~rich(X))<=>(generous(X)|~calm(X... | quiet(alice) | [
"p0",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 89788382183618062345652
% SZS output start Proof for 89788382183618062345652
1. ! [X0] : (~quiet(X0) => (~quiet(X0) <~> calm(X0))) [input p0]
6. ! [X0] : ((~rich(X0) & patient(X0)) <=> (~calm(X0) | generous(X0))) [input p5]
9. ! [X0] : ((~old(X0) & ~patient(X0)) <=> (~curious(X0) <~> curi... | 0 |
Everyone who is humble is not creative or not brave. If someone is either not brave or calm then someone is either patient or not calm. If alice is either not brave or not happy then susan is either not patient or funny. Everyone who is happy or rich is not generous and vice versa. Everyone who is either happy or stron... | Mary is calm. | contradiction | (![X]:(humble(X)=>(~creative(X)|~brave(X))))&
((?[X]:((~brave(X)<~>calm(X))))=>(?[X]:((patient(X)<~>~calm(X)))))&
(((~brave(alice)<~>~happy(alice)))=>((~patient(susan)<~>funny(susan))))&
(![X]:((happy(X)|rich(X))<=>~generous(X)))&
(![X]:((happy(X)<~>strong(X))=>~creative(X)))&
(![X]:((~brave(X)&~calm(X))<=>kind(X)))&
(... | calm(mary) | [
"p3",
"p6",
"p7",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3076798554315507638892905
% SZS output start Proof for 3076798554315507638892905
4. ! [X0] : ((rich(X0) | happy(X0)) <=> ~generous(X0)) [input p3]
7. ! [X0] : ((~calm(X0) & wise(X0)) <=> (~brave(X0) <~> ~curious(X0))) [input p6]
8. ! [X0] : ((brave(X0) & ~generous(X0)) => (generous(X0) <~... | 0 |
If someone is either not brave or not rich then mary is quiet or not old and vice versa. Everyone who is both not patient and quiet is not happy. Everyone who is old or kind is old and vice versa. If susan is either generous or not quiet then lucy is not rich. Everyone who is wise is creative or happy and vice versa. E... | John is not funny. | entailment | ((?[X]:((~brave(X)<~>~rich(X))))<=>((quiet(mary)|~old(mary))))&
(![X]:((~patient(X)&quiet(X))=>~happy(X)))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)... | ~funny(john) | [
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7268580374031668280548739
% SZS output start Proof for 7268580374031668280548739
3. ! [X0] : ((kind(X0) | old(X0)) <=> old(X0)) [input p2]
14. ! [X0] : (old(X0) => (~funny(X0) & ~humble(X0))) [input p13]
16. ! [X0] : (old(X0) <=> (~kind(X0) | happy(X0))) [input p15]
23. funny(john) [input... | 0 |
If paul is not tall or tall then mary is not wise or strong. If susan is either strong or not generous then mary is wise. If someone is kind then fred is patient or creative. Everyone who is calm is both old and not calm and vice versa. Everyone who is both strong and not generous is strong or brave. Everyone who is ei... | Fred is not patient. | entailment | (((~tall(paul)|tall(paul)))=>((~wise(mary)|strong(mary))))&
(((strong(susan)<~>~generous(susan)))=>(wise(mary)))&
((?[X]:(kind(X)))=>((patient(fred)|creative(fred))))&
(![X]:(calm(X)<=>(old(X)&~calm(X))))&
(![X]:((strong(X)&~generous(X))=>(strong(X)|brave(X))))&
(![X]:((generous(X)<~>rich(X))=>(creative(X)&rich(X))))&
... | ~patient(fred) | [
"p3",
"p8",
"p9",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6211282122998077606586268
% SZS output start Proof for 6211282122998077606586268
4. ! [X0] : (calm(X0) <=> (~calm(X0) & old(X0))) [input p3]
9. ! [X0] : (wise(X0) => rich(X0)) [input p8]
10. ! [X0] : ((funny(X0) <~> wise(X0)) => (~patient(X0) & creative(X0))) [input p9]
14. ! [X0] : ((wis... | 0 |
If someone is kind then fred is either not old or funny.
If someone is both humble and generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and not patient the... | Mary is rich. | contradiction | ((?[X]:(kind(X)))=>((~old(fred)<~>funny(fred))))&
((?[X]:((humble(X)&generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:(... | rich(mary) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1583093802018593425650734
% SZS output start Proof for 1583093802018593425650734
2. ? [X0] : (generous(X0) & humble(X0)) <=> (~quiet(mary) & brave(mary)) [input p1]
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~funny(X0) & creative(X0))) [i... | 0 |
Everyone who is both not funny and not calm is not rich. Everyone who is either calm or not quiet is either not strong or not creative and vice versa. If alice is either not quiet or not wise then john is both wise and curious. If someone is not old or not wise then someone is not kind and vice versa. Everyone who is e... | Paul is funny. | contradiction | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((calm(X)<~>~quiet(X))<=>(~strong(X)<~>~creative(X))))&
(((~quiet(alice)<~>~wise(alice)))=>((wise(john)&curious(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~brave(X)))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&curious(X))))&... | funny(paul) | [
"p9",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2159971507035576507460645
% SZS output start Proof for 2159971507035576507460645
10. tall(paul) <=> (~rich(john) & ~tall(john)) [input p9]
13. ! [X0] : ((strong(X0) | patient(X0)) <=> rich(X0)) [input p12]
14. ! [X0] : ((~strong(X0) | creative(X0)) <=> (strong(X0) & ~calm(X0))) [input p13... | 0 |
Everyone who is either brave or not brave is happy. If john is not funny or rich then someone is either funny or not humble. If someone is either not generous or wise then someone is both kind and calm. Everyone who is both generous and not creative is strong or not funny and vice versa. Everyone who is both not old an... | Fred is not generous. | contradiction | (![X]:((brave(X)<~>~brave(X))=>happy(X)))&
(((~funny(john)|rich(john)))=>(?[X]:((funny(X)<~>~humble(X)))))&
((?[X]:((~generous(X)<~>wise(X))))=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((generous(X)&~creative(X))<=>(strong(X)|~funny(X))))&
(![X]:((~old(X)&~patient(X))=>rich(X)))&
(![X]:((~strong(X)&calm(X))<=>~calm(X)))&
((s... | ~generous(fred) | [
"p3",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 32334182379503694715476
% SZS output start Proof for 32334182379503694715476
4. ! [X0] : ((~creative(X0) & generous(X0)) <=> (~funny(X0) | strong(X0))) [input p3]
6. ! [X0] : ((calm(X0) & ~strong(X0)) <=> ~calm(X0)) [input p5]
24. ~generous(fred) [input hypothesis]
46. ! [X0] : (((~creati... | 0 |
Everyone who is brave is both not curious and rich and vice versa. If susan is both curious and not calm then john is both calm and strong and vice versa. Everyone who is either kind or generous is either creative or not old. If someone is rich then paul is either not rich or funny and vice versa. Everyone who is both ... | John is calm. | entailment | (![X]:(brave(X)<=>(~curious(X)&rich(X))))&
(((curious(susan)&~calm(susan)))<=>((calm(john)&strong(john))))&
(![X]:((kind(X)<~>generous(X))=>(creative(X)<~>~old(X))))&
((?[X]:(rich(X)))<=>((~rich(paul)<~>funny(paul))))&
(![X]:((~rich(X)&~humble(X))<=>(~kind(X)&creative(X))))&
((funny(susan))<=>((~wise(susan)<~>~patient(... | calm(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6515514934452944649552395
% SZS output start Proof for 6515514934452944649552395
11. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> brave(X0)) [input p10]
25. ~calm(john) [input hypothesis]
55. ! [X0] : ((((~brave(X0) | calm(X0)) & (brave(X0) | ~calm(X0))) | ~brave(X0)) & (brave(X0) | ((~calm(X0... | 0 |
Everyone who is rich is not wise or funny and vice versa.
If someone is not tall then someone is both patient and not creative and vice versa.
Everyone who is creative or humble is both not brave and not patient.
If someone is not rich then alice is not quiet or calm.
Everyone who is both funny and humble is both humbl... | Alice is not strong. | neutral | (![X]:(rich(X)<=>(~wise(X)|funny(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)&~creative(X)))))&
(![X]:((creative(X)|humble(X))=>(~brave(X)&~patient(X))))&
((?[X]:(~rich(X)))=>((~quiet(alice)|calm(alice))))&
(![X]:((funny(X)&humble(X))<=>(humble(X)&~quiet(X))))&
(![X]:((humble(X)<~>~patient(X))=>(~generous(X)|curious(... | ~strong(alice) | [] | null | 0 |
Everyone who is not tall or not calm is rich.
Everyone who is calm is brave and vice versa.
If someone is both not rich and not brave then john is not calm or quiet.
If paul is not generous then paul is not calm and vice versa.
If john is curious then someone is rich.
If someone is strong or brave then mary is either n... | Mary is generous. | contradiction | (![X]:((~tall(X)|~calm(X))=>rich(X)))&
(![X]:(calm(X)<=>brave(X)))&
((?[X]:((~rich(X)&~brave(X))))=>((~calm(john)|quiet(john))))&
((~generous(paul))<=>(~calm(paul)))&
((curious(john))=>(?[X]:(rich(X))))&
((?[X]:((strong(X)|brave(X))))<=>((~strong(mary)<~>~curious(mary))))&
((quiet(paul))=>(?[X]:((~strong(X)<~>~rich(X))... | generous(mary) | [
"p1",
"p3",
"p5",
"p7",
"p10",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 885872181432967448517587
% SZS output start Proof for 885872181432967448517587
2. ! [X0] : (calm(X0) <=> brave(X0)) [input p1]
4. ~generous(paul) <=> ~calm(paul) [input p3]
6. ? [X0] : (brave(X0) | strong(X0)) <=> (~strong(mary) <~> ~curious(mary)) [input p5]
8. ? [X0] : (curious(X0) <~> ... | 0 |
Everyone who is both not humble and happy is strong or not brave.
If someone is both not patient and not happy then someone is both not funny and not tall and vice versa.
Everyone who is not brave is rich and vice versa.
If susan is rich then someone is either wise or not creative and vice versa.
If susan is humble or ... | Alice is not tall. | contradiction | (![X]:((~humble(X)&happy(X))=>(strong(X)|~brave(X))))&
((?[X]:((~patient(X)&~happy(X))))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patien... | ~tall(alice) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3851347426313404646621445
% SZS output start Proof for 3851347426313404646621445
8. ! [X0] : ((humble(X0) | generous(X0)) => tall(X0)) [input p7]
14. ! [X0] : (tall(X0) <=> ~generous(X0)) [input p13]
22. ~tall(alice) [input hypothesis]
31. ! [X0] : (tall(X0) | (~humble(X0) & ~generous(X0)... | 0 |
Everyone who is either brave or calm is humble and vice versa.
If mary is either kind or not calm then alice is curious or not kind and vice versa.
If someone is either funny or old then mary is either wise or not humble and vice versa.
If alice is not brave then someone is not strong or quiet.
Everyone who is tall or ... | Mary is tall. | contradiction | (![X]:((brave(X)<~>calm(X))<=>humble(X)))&
(((kind(mary)<~>~calm(mary)))<=>((curious(alice)|~kind(alice))))&
((?[X]:((funny(X)<~>old(X))))<=>((wise(mary)<~>~humble(mary))))&
((~brave(alice))=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((tall(X)|old(X))=>~kind(X)))&
(![X]:((~curious(X)&~quiet(X))<=>(~humble(X)<~>quiet(X))))... | tall(mary) | [
"p4",
"p10",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8516257766235370326375335
% SZS output start Proof for 8516257766235370326375335
5. ! [X0] : ((old(X0) | tall(X0)) => ~kind(X0)) [input p4]
11. ! [X0] : ((~happy(X0) <~> patient(X0)) => (~patient(X0) <~> ~rich(X0))) [input p10]
14. ! [X0] : (~rich(X0) <=> ~patient(X0)) [input p13]
15. ! [... | 0 |
Everyone who is either not tall or not humble is either quiet or wise.
If susan is not calm then someone is either curious or rich.
If someone is either not brave or not quiet then susan is either not curious or kind.
Everyone who is not happy or not curious is not funny or patient and vice versa.
If susan is not happy... | John is creative. | contradiction | (![X]:((~tall(X)<~>~humble(X))=>(quiet(X)<~>wise(X))))&
((~calm(susan))=>(?[X]:((curious(X)<~>rich(X)))))&
((?[X]:((~brave(X)<~>~quiet(X))))=>((~curious(susan)<~>kind(susan))))&
(![X]:((~happy(X)|~curious(X))<=>(~funny(X)|patient(X))))&
((~happy(susan))=>(?[X]:((funny(X)|quiet(X)))))&
(![X]:(~curious(X)<=>(~creative(X)... | creative(john) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3432548377944036064177044
% SZS output start Proof for 3432548377944036064177044
15. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (creative(X0) | humble(X0))) [input p14]
24. creative(john) [input hypothesis]
62. ! [X0] : (((calm(X0) & ~calm(X0)) | (~creative(X0) & ~humble(X0))) & ((creative(X0) ... | 0 |
If someone is either happy or kind then someone is both not strong and quiet. Everyone who is either not generous or not patient is strong or not patient and vice versa. Everyone who is either not tall or tall is both not happy and wise and vice versa. Everyone who is kind is both not rich and not quiet. Everyone who i... | Paul is not brave. | entailment | ((?[X]:((happy(X)<~>kind(X))))=>(?[X]:((~strong(X)&quiet(X)))))&
(![X]:((~generous(X)<~>~patient(X))<=>(strong(X)|~patient(X))))&
(![X]:((~tall(X)<~>tall(X))<=>(~happy(X)&wise(X))))&
(![X]:(kind(X)=>(~rich(X)&~quiet(X))))&
(![X]:((wise(X)&patient(X))<=>~strong(X)))&
((?[X]:((~tall(X)&~old(X))))=>(?[X]:(~creative(X))))&... | ~brave(paul) | [
"p3",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 548337196189156548168249
% SZS output start Proof for 548337196189156548168249
4. ! [X0] : (kind(X0) => (~quiet(X0) & ~rich(X0))) [input p3]
7. ! [X0] : (~rich(X0) => (strong(X0) | quiet(X0))) [input p6]
10. ! [X0] : (~strong(X0) <=> (~rich(X0) | kind(X0))) [input p9]
11. ? [X0] : brave(X... | 0 |
If someone is both not quiet and generous then someone is both strong and happy. Everyone who is not funny or not creative is not rich or not kind and vice versa. Everyone who is not calm or not happy is both not wise and not brave. Everyone who is patient is wise or strong and vice versa. Everyone who is either rich o... | Susan is old. | contradiction | ((?[X]:((~quiet(X)&generous(X))))=>(?[X]:((strong(X)&happy(X)))))&
(![X]:((~funny(X)|~creative(X))<=>(~rich(X)|~kind(X))))&
(![X]:((~calm(X)|~happy(X))=>(~wise(X)&~brave(X))))&
(![X]:(patient(X)<=>(wise(X)|strong(X))))&
(![X]:((rich(X)<~>curious(X))<=>(~strong(X)<~>humble(X))))&
(![X]:(~humble(X)=>(~calm(X)<~>~funny(X)... | old(susan) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p9",
"p11",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3023242531583544528433659
% SZS output start Proof for 3023242531583544528433659
3. ! [X0] : ((~happy(X0) | ~calm(X0)) => (~brave(X0) & ~wise(X0))) [input p2]
5. ! [X0] : ((rich(X0) <~> curious(X0)) <=> (~strong(X0) <~> humble(X0))) [input p4]
6. ! [X0] : (~humble(X0) => (~calm(X0) <~> ~f... | 0 |
If someone is either wise or not strong then someone is both not tall and brave and vice versa.
If someone is humble or quiet then mary is either not curious or tall and vice versa.
If fred is brave or not old then fred is strong.
If someone is brave or not happy then someone is either humble or not calm and vice versa... | Fred is not quiet. | entailment | ((?[X]:((wise(X)<~>~strong(X))))<=>(?[X]:((~tall(X)&brave(X)))))&
((?[X]:((humble(X)|quiet(X))))<=>((~curious(mary)<~>tall(mary))))&
(((brave(fred)|~old(fred)))=>(strong(fred)))&
((?[X]:((brave(X)|~happy(X))))<=>(?[X]:((humble(X)<~>~calm(X)))))&
(![X]:((~humble(X)<~>rich(X))<=>(calm(X)&strong(X))))&
((?[X]:(wise(X)))<=... | ~quiet(fred) | [
"p5",
"p9",
"p10",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6702776766365506837212393
% SZS output start Proof for 6702776766365506837212393
6. ? [X0] : wise(X0) <=> (~calm(lucy) <~> ~old(lucy)) [input p5]
10. ! [X0] : (~calm(X0) <=> (~wise(X0) & ~strong(X0))) [input p9]
11. ? [X0] : ~patient(X0) => (~quiet(fred) <~> wise(fred)) [input p10]
13. (~... | 0 |
If mary is either humble or not calm then someone is not generous and vice versa.
If lucy is not rich then someone is either not generous or calm and vice versa.
Everyone who is both tall and not curious is either not old or not patient and vice versa.
Everyone who is wise is not kind and vice versa.
Everyone who is bo... | Mary is not creative. | entailment | (((humble(mary)<~>~calm(mary)))<=>(?[X]:(~generous(X))))&
((~rich(lucy))<=>(?[X]:((~generous(X)<~>calm(X)))))&
(![X]:((tall(X)&~curious(X))<=>(~old(X)<~>~patient(X))))&
(![X]:(wise(X)<=>~kind(X)))&
(![X]:((~quiet(X)&rich(X))=>~quiet(X)))&
((?[X]:(~calm(X)))=>((~patient(alice)&happy(alice))))&
(((~brave(fred)|curious(fr... | ~creative(mary) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"p14",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 81857982526548892379241
% SZS output start Proof for 81857982526548892379241
1. (humble(mary) <~> ~calm(mary)) <=> ? [X0] : ~generous(X0) [input p0]
3. ! [X0] : ((~curious(X0) & tall(X0)) <=> (~old(X0) <~> ~patient(X0))) [input p2]
4. ! [X0] : (wise(X0) <=> ~kind(X0)) [input p3]
6. ? [X0]... | 0 |
If someone is both not calm and rich then fred is not calm or old and vice versa.
Everyone who is humble is not quiet.
Everyone who is not funny is happy and vice versa.
Everyone who is both wise and not quiet is not curious.
Everyone who is not kind or not funny is both rich and calm.
If lucy is not wise or not quiet ... | Paul is creative. | contradiction | ((?[X]:((~calm(X)&rich(X))))<=>((~calm(fred)|old(fred))))&
(![X]:(humble(X)=>~quiet(X)))&
(![X]:(~funny(X)<=>happy(X)))&
(![X]:((wise(X)&~quiet(X))=>~curious(X)))&
(![X]:((~kind(X)|~funny(X))=>(rich(X)&calm(X))))&
(((~wise(lucy)|~quiet(lucy)))=>((creative(mary)&~patient(mary))))&
(((~generous(paul)&~wise(paul)))<=>(?[X... | creative(paul) | [
"p6",
"p7",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9093505150131954599725539
% SZS output start Proof for 9093505150131954599725539
7. (~wise(paul) & ~generous(paul)) <=> ? [X0] : (~funny(X0) <~> patient(X0)) [input p6]
8. ! [X0] : (~calm(X0) => wise(X0)) [input p7]
10. ? [X0] : ~funny(X0) <=> ? [X0] : (funny(X0) <~> ~patient(X0)) [input ... | 0 |
Everyone who is both not wise and not rich is funny and vice versa. Everyone who is either generous or not old is both not humble and old. If mary is either not strong or not generous then paul is either generous or wise. If john is not generous or wise then someone is both not quiet and not strong and vice versa. Ever... | Fred is not calm. | entailment | (![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wise(paul))))&
(((~generous(john)|wise(john)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(![X]:((kind(X)&~quiet(X))=>(~kind(X)&funny(X))))&
(![X]:((old(X)<~>~curious(X))=>st... | ~calm(fred) | [
"p1",
"p7",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5301611558709728618158723
% SZS output start Proof for 5301611558709728618158723
2. ! [X0] : ((generous(X0) <~> ~old(X0)) => (old(X0) & ~humble(X0))) [input p1]
8. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (curious(X0) & ~tall(X0))) [input p7]
10. (tall(fred) <~> ~calm(fred)) <=> ? [X0] : (~... | 0 |
Everyone who is wise is either brave or not rich and vice versa.
Everyone who is not quiet is both not brave and curious.
If susan is both not curious and calm then someone is both not patient and not rich and vice versa.
If someone is both creative and curious then someone is patient or not funny and vice versa.
If so... | Susan is not patient. | entailment | (![X]:(wise(X)<=>(brave(X)<~>~rich(X))))&
(![X]:(~quiet(X)=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((rich(X)&old(X)))))&
(((~funny(susan)<~>~generous(sus... | ~patient(susan) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2719567830827708457699383
% SZS output start Proof for 2719567830827708457699383
4. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~funny(X0) | patient(X0)) [input p3]
7. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p6]
25. patient(susan) [input hypothesis]
26. ? [... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.