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 someone is both not rich and not generous then paul is patient or not rich and vice versa.
Everyone who is both patient and not kind is both not strong and curious and vice versa.
Everyone who is both happy and not humble is either not happy or not kind and vice versa.
If someone is not calm or calm then fred is bot... | Paul is not curious. | neutral | ((?[X]:((~rich(X)&~generous(X))))<=>((patient(paul)|~rich(paul))))&
(![X]:((patient(X)&~kind(X))<=>(~strong(X)&curious(X))))&
(![X]:((happy(X)&~humble(X))<=>(~happy(X)<~>~kind(X))))&
((?[X]:((~calm(X)|calm(X))))<=>((old(fred)&~creative(fred))))&
(![X]:((~patient(X)&funny(X))<=>(curious(X)&strong(X))))&
(![X]:(~funny(X)... | ~curious(paul) | [] | null | 0 |
Everyone who is either kind or rich is tall or not strong and vice versa. If someone is not happy or not curious then john is not humble. If someone is not rich then someone is either tall or not wise. Everyone who is either happy or curious is creative and vice versa. Everyone who is both not creative and humble is bo... | Paul is not old. | neutral | (![X]:((kind(X)<~>rich(X))<=>(tall(X)|~strong(X))))&
((?[X]:((~happy(X)|~curious(X))))=>(~humble(john)))&
((?[X]:(~rich(X)))=>(?[X]:((tall(X)<~>~wise(X)))))&
(![X]:((happy(X)<~>curious(X))<=>creative(X)))&
(![X]:((~creative(X)&humble(X))<=>(~old(X)&curious(X))))&
((?[X]:((~happy(X)|~kind(X))))=>((generous(john)&~quiet(... | ~old(paul) | [] | null | 0 |
If alice is funny then someone is old or not happy. If someone is calm then fred is either not rich or not calm. Everyone who is not brave or strong is either not strong or patient and vice versa. Everyone who is both not creative and not humble is either quiet or old. If paul is both happy and not funny then someone i... | Susan is brave. | contradiction | ((funny(alice))=>(?[X]:((old(X)|~happy(X)))))&
((?[X]:(calm(X)))=>((~rich(fred)<~>~calm(fred))))&
(![X]:((~brave(X)|strong(X))<=>(~strong(X)<~>patient(X))))&
(![X]:((~creative(X)&~humble(X))=>(quiet(X)<~>old(X))))&
(((happy(paul)&~funny(paul)))<=>(?[X]:((tall(X)<~>strong(X)))))&
(((quiet(alice)<~>~strong(alice)))=>(?[X... | brave(susan) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 857989642744187198483540
% SZS output start Proof for 857989642744187198483540
19. ~brave(susan) [input p18]
25. brave(susan) [input hypothesis]
138. ~brave(susan) [cnf transformation 19]
146. brave(susan) [cnf transformation 25]
389. $false [subsumption resolution 146,138]
% SZS output e... | 0 |
If someone is generous then someone is both quiet and not tall.
Everyone who is not curious is not kind or creative.
Everyone who is not curious or rich is either not curious or humble.
Everyone who is happy is not happy.
Everyone who is calm or tall is either funny or not humble and vice versa.
If someone is either no... | Paul is not funny. | neutral | ((?[X]:(generous(X)))=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:(~curious(X)=>(~kind(X)|creative(X))))&
(![X]:((~curious(X)|rich(X))=>(~curious(X)<~>humble(X))))&
(![X]:(happy(X)=>~happy(X)))&
(![X]:((calm(X)|tall(X))<=>(funny(X)<~>~humble(X))))&
((?[X]:((~happy(X)<~>~generous(X))))<=>(creative(fred)))&
(![X]:((~humble(X)|... | ~funny(paul) | [] | null | 0 |
Everyone who is not humble or not funny is both old and not rich and vice versa.
Everyone who is both not wise and not creative is either not creative or calm.
Everyone who is either not old or not funny is both brave and creative and vice versa.
Everyone who is both not calm and not creative is either funny or not cre... | Fred is not calm. | contradiction | (![X]:((~humble(X)|~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~wise(X)&~creative(X))=>(~creative(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(brave(X)&creative(X))))&
(![X]:((~calm(X)&~creative(X))=>(funny(X)<~>~creative(X))))&
(![X]:((~rich(X)<~>~brave(X))=>(~tall(X)<~>brave(X))))&
(((happy(alice)|~brave(alice)))=>... | ~calm(fred) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6212732077415002573599082
% SZS output start Proof for 6212732077415002573599082
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> (~rich(X0) & old(X0))) [input p0]
3. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> (creative(X0) & brave(X0))) [input p2]
4. ! [X0] : ((~creative(X0) & ~calm(X0)) => (fun... | 0 |
If someone is not kind then someone is generous or not funny.
Everyone who is both not patient and brave is both not rich and tall.
If susan is both funny and kind then someone is creative and vice versa.
Everyone who is either happy or quiet is brave or old and vice versa.
If mary is either not rich or not calm then m... | Susan is rich. | neutral | ((?[X]:(~kind(X)))=>(?[X]:((generous(X)|~funny(X)))))&
(![X]:((~patient(X)&brave(X))=>(~rich(X)&tall(X))))&
(((funny(susan)&kind(susan)))<=>(?[X]:(creative(X))))&
(![X]:((happy(X)<~>quiet(X))<=>(brave(X)|old(X))))&
(((~rich(mary)<~>~calm(mary)))<=>(~tall(mary)))&
(![X]:((humble(X)&~generous(X))=>(happy(X)|~wise(X))))&
... | rich(susan) | [] | null | 0 |
If someone is either creative or not wise then someone is happy and vice versa. Everyone who is not calm or not brave is kind or funny. Everyone who is not patient is either not humble or quiet. Everyone who is not strong is happy and vice versa. Everyone who is wise or brave is both curious and patient. If someone is ... | Lucy is not patient. | contradiction | ((?[X]:((creative(X)<~>~wise(X))))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|~brave(X))=>(kind(X)|funny(X))))&
(![X]:(~patient(X)=>(~humble(X)<~>quiet(X))))&
(![X]:(~strong(X)<=>happy(X)))&
(![X]:((wise(X)|brave(X))=>(curious(X)&patient(X))))&
((?[X]:((~generous(X)&happy(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
(((~old(l... | ~patient(lucy) | [
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7314264857600285441284752
% SZS output start Proof for 7314264857600285441284752
5. ! [X0] : ((brave(X0) | wise(X0)) => (patient(X0) & curious(X0))) [input p4]
12. ! [X0] : ((wise(X0) & happy(X0)) <=> (~brave(X0) | wise(X0))) [input p11]
25. ~patient(lucy) [input hypothesis]
31. ! [X0] : ... | 0 |
If alice is wise or not tall then someone is both happy and generous and vice versa.
If paul is either patient or quiet then someone is both old and not quiet.
If alice is both wise and generous then someone is not humble.
If paul is generous or tall then someone is either strong or quiet and vice versa.
If mary is not... | Mary is not happy. | neutral | (((wise(alice)|~tall(alice)))<=>(?[X]:((happy(X)&generous(X)))))&
(((patient(paul)<~>quiet(paul)))=>(?[X]:((old(X)&~quiet(X)))))&
(((wise(alice)&generous(alice)))=>(?[X]:(~humble(X))))&
(((generous(paul)|tall(paul)))<=>(?[X]:((strong(X)<~>quiet(X)))))&
(((~strong(mary)|~funny(mary)))=>((~brave(alice)<~>~kind(alice))))&... | ~happy(mary) | [] | null | 0 |
Everyone who is either happy or not quiet is strong or not quiet and vice versa. Everyone who is either happy or not old is either not calm or creative and vice versa. Everyone who is either quiet or strong is not brave or wise. Everyone who is not happy is both happy and curious and vice versa. Everyone who is both no... | John is generous. | contradiction | (![X]:((happy(X)<~>~quiet(X))<=>(strong(X)|~quiet(X))))&
(![X]:((happy(X)<~>~old(X))<=>(~calm(X)<~>creative(X))))&
(![X]:((quiet(X)<~>strong(X))=>(~brave(X)|wise(X))))&
(![X]:(~happy(X)<=>(happy(X)&curious(X))))&
(![X]:((~funny(X)&patient(X))=>(~generous(X)|~creative(X))))&
(((brave(john)|rich(john)))=>(?[X]:(~kind(X))... | generous(john) | [
"p0",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8411458693460024009756912
% SZS output start Proof for 8411458693460024009756912
1. ! [X0] : ((happy(X0) <~> ~quiet(X0)) <=> (~quiet(X0) | strong(X0))) [input p0]
4. ! [X0] : (~happy(X0) <=> (curious(X0) & happy(X0))) [input p3]
9. ! [X0] : ((~brave(X0) & ~quiet(X0)) <=> (generous(X0) | k... | 0 |
If mary is tall then someone is creative or rich.
Everyone who is kind or not happy is either strong or happy.
If lucy is not funny or not humble then susan is both not humble and not calm and vice versa.
If someone is creative or kind then paul is either generous or curious and vice versa.
Everyone who is curious is e... | Paul is strong. | entailment | ((tall(mary))=>(?[X]:((creative(X)|rich(X)))))&
(![X]:((kind(X)|~happy(X))=>(strong(X)<~>happy(X))))&
(((~funny(lucy)|~humble(lucy)))<=>((~humble(susan)&~calm(susan))))&
((?[X]:((creative(X)|kind(X))))<=>((generous(paul)<~>curious(paul))))&
(![X]:(curious(X)<=>(~wise(X)<~>~creative(X))))&
(((~quiet(mary)|tall(mary)))<=... | strong(paul) | [
"p1",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2401576447485656462969542
% SZS output start Proof for 2401576447485656462969542
2. ! [X0] : ((~happy(X0) | kind(X0)) => (strong(X0) <~> happy(X0))) [input p1]
16. (~brave(paul) | happy(paul)) <=> ~happy(lucy) [input p15]
23. ~strong(lucy) [input p22]
25. ~strong(paul) [input hypothesis]
... | 0 |
If alice is wise or creative then lucy is both calm and not brave. Everyone who is not strong or not curious is either not tall or not brave. If susan is both happy and calm then paul is creative. If someone is patient or not curious then someone is not old or patient. Everyone who is both quiet and rich is not creativ... | Alice is not generous. | neutral | (((wise(alice)|creative(alice)))=>((calm(lucy)&~brave(lucy))))&
(![X]:((~strong(X)|~curious(X))=>(~tall(X)<~>~brave(X))))&
(((happy(susan)&calm(susan)))=>(creative(paul)))&
((?[X]:((patient(X)|~curious(X))))=>(?[X]:((~old(X)|patient(X)))))&
(![X]:((quiet(X)&rich(X))<=>~creative(X)))&
((brave(susan))=>((~kind(john)|wise... | ~generous(alice) | [] | null | 0 |
If someone is both not quiet and not happy then someone is brave or not creative and vice versa.
Everyone who is both not patient and not creative is either tall or generous.
If mary is not rich then mary is both not tall and not brave and vice versa.
Everyone who is both not kind and not wise is tall.
Everyone who is ... | Fred is not brave. | entailment | ((?[X]:((~quiet(X)&~happy(X))))<=>(?[X]:((brave(X)|~creative(X)))))&
(![X]:((~patient(X)&~creative(X))=>(tall(X)<~>generous(X))))&
((~rich(mary))<=>((~tall(mary)&~brave(mary))))&
(![X]:((~kind(X)&~wise(X))=>tall(X)))&
(![X]:((patient(X)<~>funny(X))=>(curious(X)<~>~humble(X))))&
((humble(alice))<=>((~rich(paul)|happy(pa... | ~brave(fred) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1720517795801837011465103
% SZS output start Proof for 1720517795801837011465103
21. ~happy(fred) & ~brave(fred) [input p20]
25. brave(fred) [input hypothesis]
127. ~brave(fred) [cnf transformation 21]
134. brave(fred) [cnf transformation 25]
282. $false [subsumption resolution 134,127]
%... | 0 |
If someone is not calm then lucy is old or not humble and vice versa.
If john is either quiet or curious then mary is both not funny and generous.
Everyone who is either not tall or old is happy.
If someone is either brave or curious then paul is either curious or generous and vice versa.
If someone is both creative an... | John is brave. | entailment | ((?[X]:(~calm(X)))<=>((old(lucy)|~humble(lucy))))&
(((quiet(john)<~>curious(john)))=>((~funny(mary)&generous(mary))))&
(![X]:((~tall(X)<~>old(X))=>happy(X)))&
((?[X]:((brave(X)<~>curious(X))))<=>((curious(paul)<~>generous(paul))))&
((?[X]:((creative(X)&old(X))))=>(~kind(lucy)))&
(![X]:(~curious(X)=>(~funny(X)&quiet(X))... | brave(john) | [
"p1",
"p5",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3358739308453350914201234
% SZS output start Proof for 3358739308453350914201234
2. (quiet(john) <~> curious(john)) => (generous(mary) & ~funny(mary)) [input p1]
6. ! [X0] : (~curious(X0) => (quiet(X0) & ~funny(X0))) [input p5]
7. ! [X0] : ((tall(X0) | quiet(X0)) => (creative(X0) & brave(... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa. If john is rich then someone is not tall and vice versa. If someone is both tall and not rich then someone is quiet or patient. Everyone who is not creative is both not quiet and brave. If mary is both creative and quiet then someone i... | Lucy is not humble. | neutral | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((rich(john))<=>(?[X]:(~tall(X))))&
((?[X]:((tall(X)&~rich(X))))=>(?[X]:((quiet(X)|patient(X)))))&
(![X]:(~creative(X)=>(~quiet(X)&brave(X))))&
(((creative(mary)&quiet(mary)))<=>(?[X]:((kind(X)&humble(X)))))&
((?[X]:((~rich(X)|~old(X))))=>(?[X]:((~funny(X)<~>~brave... | ~humble(lucy) | [] | null | 0 |
Everyone who is both not brave and not generous is either not strong or generous.
If fred is not quiet or old then mary is quiet or humble.
Everyone who is tall is happy.
If fred is wise then susan is both not funny and not happy and vice versa.
Everyone who is either not old or funny is either curious or patient and v... | Mary is not old. | contradiction | (![X]:((~brave(X)&~generous(X))=>(~strong(X)<~>generous(X))))&
(((~quiet(fred)|old(fred)))=>((quiet(mary)|humble(mary))))&
(![X]:(tall(X)=>happy(X)))&
((wise(fred))<=>((~funny(susan)&~happy(susan))))&
(![X]:((~old(X)<~>funny(X))<=>(curious(X)<~>patient(X))))&
(((creative(lucy)|~quiet(lucy)))=>(generous(susan)))&
(![X]:... | ~old(mary) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5269175755696393386835818
% SZS output start Proof for 5269175755696393386835818
1. ! [X0] : ((~generous(X0) & ~brave(X0)) => (~strong(X0) <~> generous(X0))) [input p0]
7. ! [X0] : ((kind(X0) | ~kind(X0)) => (strong(X0) | humble(X0))) [input p6]
8. ? [X0] : (~old(X0) | ~quiet(X0)) <=> ? [... | 0 |
Everyone who is not wise is both not funny and not tall. If someone is either not happy or not funny then someone is both not curious and not old. Everyone who is not quiet or creative is funny and vice versa. Everyone who is not old is both generous and not kind and vice versa. If susan is either strong or not calm th... | Fred is calm. | neutral | (![X]:(~wise(X)=>(~funny(X)&~tall(X))))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((~quiet(X)|creative(X))<=>funny(X)))&
(![X]:(~old(X)<=>(generous(X)&~kind(X))))&
(((strong(susan)<~>~calm(susan)))<=>(?[X]:((~humble(X)|patient(X)))))&
((?[X]:((~old(X)&~kind(X))))=>((~curious(john)<~>~st... | calm(fred) | [] | null | 0 |
Everyone who is both not happy and not old is humble or brave.
Everyone who is both not humble and not patient is humble and vice versa.
If susan is both old and happy then fred is quiet or not curious and vice versa.
Everyone who is not happy or wise is both not strong and not brave and vice versa.
If paul is either k... | Mary is not tall. | contradiction | (![X]:((~happy(X)&~old(X))=>(humble(X)|brave(X))))&
(![X]:((~humble(X)&~patient(X))<=>humble(X)))&
(((old(susan)&happy(susan)))<=>((quiet(fred)|~curious(fred))))&
(![X]:((~happy(X)|wise(X))<=>(~strong(X)&~brave(X))))&
(((kind(paul)<~>tall(paul)))=>((kind(mary)&old(mary))))&
(((happy(john)&brave(john)))=>(?[X]:((kind(X)... | ~tall(mary) | [
"p1",
"p3",
"p8",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8715268252349742185499770
% SZS output start Proof for 8715268252349742185499770
2. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> humble(X0)) [input p1]
4. ! [X0] : ((wise(X0) | ~happy(X0)) <=> (~brave(X0) & ~strong(X0))) [input p3]
9. ! [X0] : ((old(X0) <~> ~brave(X0)) <=> (~rich(X0) & ~pat... | 0 |
If susan is not old or not creative then susan is creative.
If lucy is both not wise and funny then someone is not patient.
Everyone who is either not strong or kind is not curious.
Everyone who is both curious and not quiet is funny and vice versa.
Everyone who is happy or not calm is either not happy or not creative ... | Mary is not quiet. | contradiction | (((~old(susan)|~creative(susan)))=>(creative(susan)))&
(((~wise(lucy)&funny(lucy)))=>(?[X]:(~patient(X))))&
(![X]:((~strong(X)<~>kind(X))=>~curious(X)))&
(![X]:((curious(X)&~quiet(X))<=>funny(X)))&
(![X]:((happy(X)|~calm(X))<=>(~happy(X)<~>~creative(X))))&
((~quiet(susan))=>(?[X]:(~generous(X))))&
((?[X]:(kind(X)))<=>(... | ~quiet(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4580496886294674154420593
% SZS output start Proof for 4580496886294674154420593
11. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (calm(X0) & quiet(X0))) [input p10]
25. ~quiet(mary) [input hypothesis]
57. ! [X0] : (((generous(X0) | ~quiet(X0)) | (~calm(X0) | ~quiet(X0))) & ((calm(X0) & quie... | 0 |
Everyone who is both old and strong is not creative or creative.
If someone is both not brave and curious then someone is either not happy or creative and vice versa.
Everyone who is both funny and kind is not strong.
Everyone who is tall or calm is both not calm and creative and vice versa.
If john is not kind or not ... | Alice is not tall. | contradiction | (![X]:((old(X)&strong(X))=>(~creative(X)|creative(X))))&
((?[X]:((~brave(X)&curious(X))))<=>(?[X]:((~happy(X)<~>creative(X)))))&
(![X]:((funny(X)&kind(X))=>~strong(X)))&
(![X]:((tall(X)|calm(X))<=>(~calm(X)&creative(X))))&
(((~kind(john)|~patient(john)))<=>((humble(lucy)&creative(lucy))))&
(![X]:((happy(X)|~funny(X))<=... | ~tall(alice) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9195473130737454851362058
% SZS output start Proof for 9195473130737454851362058
2. ? [X0] : (curious(X0) & ~brave(X0)) <=> ? [X0] : (~happy(X0) <~> creative(X0)) [input p1]
3. ! [X0] : ((kind(X0) & funny(X0)) => ~strong(X0)) [input p2]
4. ! [X0] : ((calm(X0) | tall(X0)) <=> (creative(X0)... | 0 |
If lucy is either not strong or generous then someone is either patient or wise. Everyone who is not tall or strong is not curious or quiet. If john is not tall then someone is quiet and vice versa. If lucy is not wise then mary is either not rich or not generous. Everyone who is not kind or not rich is both happy and ... | John is generous. | contradiction | (((~strong(lucy)<~>generous(lucy)))=>(?[X]:((patient(X)<~>wise(X)))))&
(![X]:((~tall(X)|strong(X))=>(~curious(X)|quiet(X))))&
((~tall(john))<=>(?[X]:(quiet(X))))&
((~wise(lucy))=>((~rich(mary)<~>~generous(mary))))&
(![X]:((~kind(X)|~rich(X))<=>(happy(X)&~old(X))))&
(![X]:((happy(X)|~rich(X))<=>(happy(X)&~happy(X))))&
(... | generous(john) | [
"p1",
"p4",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6689764353562021839544517
% SZS output start Proof for 6689764353562021839544517
2. ! [X0] : ((strong(X0) | ~tall(X0)) => (quiet(X0) | ~curious(X0))) [input p1]
5. ! [X0] : ((~rich(X0) | ~kind(X0)) <=> (~old(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~rich(X0) | happy(X0)) <=> (~happy(X0)... | 0 |
If someone is either wise or happy then alice is kind or not creative and vice versa. Everyone who is both not happy and not strong is both old and curious. If someone is curious then susan is not curious. If lucy is old then someone is either curious or not quiet. If paul is either tall or patient then someone is both... | Lucy is not old. | entailment | ((?[X]:((wise(X)<~>happy(X))))<=>((kind(alice)|~creative(alice))))&
(![X]:((~happy(X)&~strong(X))=>(old(X)&curious(X))))&
((?[X]:(curious(X)))=>(~curious(susan)))&
((old(lucy))=>(?[X]:((curious(X)<~>~quiet(X)))))&
(((tall(paul)<~>patient(paul)))=>(?[X]:((funny(X)&wise(X)))))&
(![X]:((happy(X)&~calm(X))<=>patient(X)))&
... | ~old(lucy) | [
"p7",
"p11",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8629614356929483579866662
% SZS output start Proof for 8629614356929483579866662
8. ! [X0] : ((old(X0) | generous(X0)) => (tall(X0) & ~curious(X0))) [input p7]
12. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p11]
16. ? [X0] : (~generous(X0) | ~curious(X0)) <=> (old(fred) & creative(... | 0 |
Everyone who is both not rich and not generous is not kind. Everyone who is both not funny and not quiet is rich. Everyone who is either happy or calm is either not old or not kind and vice versa. If someone is either curious or humble then lucy is not funny or not rich and vice versa. Everyone who is not rich is eithe... | Alice is not old. | entailment | (![X]:((~rich(X)&~generous(X))=>~kind(X)))&
(![X]:((~funny(X)&~quiet(X))=>rich(X)))&
(![X]:((happy(X)<~>calm(X))<=>(~old(X)<~>~kind(X))))&
((?[X]:((curious(X)<~>humble(X))))<=>((~funny(lucy)|~rich(lucy))))&
(![X]:(~rich(X)=>(generous(X)<~>~strong(X))))&
(![X]:((~kind(X)|~calm(X))<=>rich(X)))&
((?[X]:((~patient(X)|~kind... | ~old(alice) | [
"p1",
"p2",
"p5",
"p8",
"p9",
"p10",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8095984089939915747490296
% SZS output start Proof for 8095984089939915747490296
2. ! [X0] : ((~quiet(X0) & ~funny(X0)) => rich(X0)) [input p1]
3. ! [X0] : ((happy(X0) <~> calm(X0)) <=> (~old(X0) <~> ~kind(X0))) [input p2]
6. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> rich(X0)) [input p5]
9. !... | 0 |
If someone is both funny and not funny then someone is not calm or not tall. If john is both old and creative then someone is either rich or not wise. Everyone who is wise is both not humble and humble and vice versa. Everyone who is not wise or curious is either kind or happy. Everyone who is both kind and not patient... | Mary is kind. | contradiction | ((?[X]:((funny(X)&~funny(X))))=>(?[X]:((~calm(X)|~tall(X)))))&
(((old(john)&creative(john)))=>(?[X]:((rich(X)<~>~wise(X)))))&
(![X]:(wise(X)<=>(~humble(X)&humble(X))))&
(![X]:((~wise(X)|curious(X))=>(kind(X)<~>happy(X))))&
(![X]:((kind(X)&~patient(X))=>(~humble(X)|curious(X))))&
(![X]:(~humble(X)<=>(patient(X)|rich(X))... | kind(mary) | [
"p2",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 531057274409650658882229
% SZS output start Proof for 531057274409650658882229
3. ! [X0] : (wise(X0) <=> (humble(X0) & ~humble(X0))) [input p2]
4. ! [X0] : ((curious(X0) | ~wise(X0)) => (kind(X0) <~> happy(X0))) [input p3]
16. ! [X0] : ((creative(X0) | ~wise(X0)) => (happy(X0) & tall(X0))... | 0 |
Everyone who is either not generous or not rich is not curious.
If lucy is either not rich or strong then alice is either not patient or not kind and vice versa.
If someone is creative then alice is quiet or not rich and vice versa.
If someone is tall then someone is both not wise and generous and vice versa.
If someon... | John is not old. | contradiction | (![X]:((~generous(X)<~>~rich(X))=>~curious(X)))&
(((~rich(lucy)<~>strong(lucy)))<=>((~patient(alice)<~>~kind(alice))))&
((?[X]:(creative(X)))<=>((quiet(alice)|~rich(alice))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((~wise(X)<~>~humble(X))))=>(?[X]:(wise(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((~rich(X... | ~old(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8784229505308502283572789
% SZS output start Proof for 8784229505308502283572789
10. ! [X0] : ((~old(X0) | rich(X0)) => (old(X0) & tall(X0))) [input p9]
24. ~old(john) [input hypothesis]
31. ! [X0] : ((old(X0) & tall(X0)) | (old(X0) & ~rich(X0))) [ennf transformation 10]
120. old(X0) | ol... | 0 |
Everyone who is not brave or not calm is not kind and vice versa.
Everyone who is either funny or not quiet is happy or not wise and vice versa.
Everyone who is old or brave is both tall and not humble and vice versa.
Everyone who is either not happy or happy is both not curious and quiet.
Everyone who is not calm is b... | Lucy is not wise. | contradiction | (![X]:((~brave(X)|~calm(X))<=>~kind(X)))&
(![X]:((funny(X)<~>~quiet(X))<=>(happy(X)|~wise(X))))&
(![X]:((old(X)|brave(X))<=>(tall(X)&~humble(X))))&
(![X]:((~happy(X)<~>happy(X))=>(~curious(X)&quiet(X))))&
(![X]:(~calm(X)<=>(curious(X)&~strong(X))))&
(![X]:((~kind(X)|~brave(X))<=>(creative(X)<~>~wise(X))))&
(![X]:((calm... | ~wise(lucy) | [
"p0",
"p3",
"p4",
"p6",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6741666468567595783905164
% SZS output start Proof for 6741666468567595783905164
1. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> ~kind(X0)) [input p0]
4. ! [X0] : ((~happy(X0) <~> happy(X0)) => (quiet(X0) & ~curious(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (~strong(X0) & curious(X0))) [input... | 0 |
If mary is not rich then someone is either patient or not patient. If lucy is both funny and not kind then someone is either not tall or not humble and vice versa. Everyone who is strong or not wise is both not tall and not generous and vice versa. Everyone who is either old or not old is not patient. Everyone who is w... | Paul is generous. | neutral | ((~rich(mary))=>(?[X]:((patient(X)<~>~patient(X)))))&
(((funny(lucy)&~kind(lucy)))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((strong(X)|~wise(X))<=>(~tall(X)&~generous(X))))&
(![X]:((old(X)<~>~old(X))=>~patient(X)))&
(![X]:(wise(X)<=>(~funny(X)|calm(X))))&
(![X]:((old(X)<~>quiet(X))<=>~happy(X)))&
(![X]:(~creative(X)... | generous(paul) | [] | null | 0 |
Everyone who is either not tall or kind is not old or strong. Everyone who is both not humble and not creative is not patient or old. If susan is both not old and not tall then someone is both not happy and old. Everyone who is patient or rich is not patient and vice versa. If mary is not generous or patient then someo... | John is creative. | neutral | (![X]:((~tall(X)<~>kind(X))=>(~old(X)|strong(X))))&
(![X]:((~humble(X)&~creative(X))=>(~patient(X)|old(X))))&
(((~old(susan)&~tall(susan)))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((patient(X)|rich(X))<=>~patient(X)))&
(((~generous(mary)|patient(mary)))=>(?[X]:((quiet(X)<~>funny(X)))))&
(![X]:((~generous(X)|strong(X))=>(r... | creative(john) | [] | null | 0 |
Everyone who is both not quiet and happy is generous. If someone is not funny then paul is both not quiet and not patient and vice versa. If john is both rich and not humble then mary is both not generous and tall. Everyone who is not calm or not curious is either not quiet or funny and vice versa. If fred is both not ... | Paul is not brave. | entailment | (![X]:((~quiet(X)&happy(X))=>generous(X)))&
((?[X]:(~funny(X)))<=>((~quiet(paul)&~patient(paul))))&
(((rich(john)&~humble(john)))=>((~generous(mary)&tall(mary))))&
(![X]:((~calm(X)|~curious(X))<=>(~quiet(X)<~>funny(X))))&
(((~funny(fred)&old(fred)))=>((~calm(john)|wise(john))))&
(![X]:(kind(X)<=>(kind(X)|brave(X))))&
(... | ~brave(paul) | [
"p1",
"p5",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2825289547587975310400420
% SZS output start Proof for 2825289547587975310400420
2. ? [X0] : ~funny(X0) <=> (~patient(paul) & ~quiet(paul)) [input p1]
6. ! [X0] : (kind(X0) <=> (brave(X0) | kind(X0))) [input p5]
13. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> (kind(X0) | ~rich(X0))) [input p12]... | 0 |
If john is not old then someone is both brave and curious and vice versa.
If john is either curious or not humble then susan is both wise and not generous.
Everyone who is rich or not patient is not kind.
Everyone who is not creative or not happy is both not kind and quiet and vice versa.
Everyone who is funny or not o... | Alice is generous. | neutral | ((~old(john))<=>(?[X]:((brave(X)&curious(X)))))&
(((curious(john)<~>~humble(john)))=>((wise(susan)&~generous(susan))))&
(![X]:((rich(X)|~patient(X))=>~kind(X)))&
(![X]:((~creative(X)|~happy(X))<=>(~kind(X)&quiet(X))))&
(![X]:((funny(X)|~old(X))<=>quiet(X)))&
(![X]:(patient(X)=>(patient(X)&~funny(X))))&
(![X]:((humble(X... | generous(alice) | [] | null | 0 |
If paul is both happy and not calm then someone is happy or not old. Everyone who is either curious or kind is either kind or quiet and vice versa. Everyone who is tall is funny or generous and vice versa. Everyone who is brave is creative or not strong and vice versa. Everyone who is either kind or humble is both not ... | John is rich. | neutral | (((happy(paul)&~calm(paul)))=>(?[X]:((happy(X)|~old(X)))))&
(![X]:((curious(X)<~>kind(X))<=>(kind(X)<~>quiet(X))))&
(![X]:(tall(X)<=>(funny(X)|generous(X))))&
(![X]:(brave(X)<=>(creative(X)|~strong(X))))&
(![X]:((kind(X)<~>humble(X))=>(~kind(X)&~creative(X))))&
(((~brave(john)|~patient(john)))<=>(?[X]:((strong(X)|humbl... | rich(john) | [] | null | 0 |
Everyone who is patient or not quiet is both kind and quiet.
If someone is quiet or not happy then mary is happy.
If susan is either not kind or not generous then lucy is generous.
If lucy is not tall then someone is not creative.
Everyone who is patient is both not wise and not quiet and vice versa.
Everyone who is no... | Fred is not strong. | entailment | (![X]:((patient(X)|~quiet(X))=>(kind(X)&quiet(X))))&
((?[X]:((quiet(X)|~happy(X))))=>(happy(mary)))&
(((~kind(susan)<~>~generous(susan)))=>(generous(lucy)))&
((~tall(lucy))=>(?[X]:(~creative(X))))&
(![X]:(patient(X)<=>(~wise(X)&~quiet(X))))&
(![X]:((~generous(X)|kind(X))=>~quiet(X)))&
((?[X]:((~generous(X)&wise(X))))=>... | ~strong(fred) | [
"p0",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3008115867631044402164090
% SZS output start Proof for 3008115867631044402164090
1. ! [X0] : ((~quiet(X0) | patient(X0)) => (quiet(X0) & kind(X0))) [input p0]
6. ! [X0] : ((kind(X0) | ~generous(X0)) => ~quiet(X0)) [input p5]
8. ! [X0] : ((~kind(X0) | old(X0)) => (~creative(X0) & ~strong(X... | 0 |
Everyone who is both curious and not strong is not curious or funny and vice versa.
Everyone who is not creative is both not patient and not strong.
If someone is not old or creative then someone is either funny or patient and vice versa.
Everyone who is wise is not rich or funny and vice versa.
If someone is not rich ... | Mary is old. | contradiction | (![X]:((curious(X)&~strong(X))<=>(~curious(X)|funny(X))))&
(![X]:(~creative(X)=>(~patient(X)&~strong(X))))&
((?[X]:((~old(X)|creative(X))))<=>(?[X]:((funny(X)<~>patient(X)))))&
(![X]:(wise(X)<=>(~rich(X)|funny(X))))&
((?[X]:((~rich(X)|curious(X))))<=>((~strong(paul)|generous(paul))))&
(![X]:((tall(X)|wise(X))<=>patient... | old(mary) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1101148453798483881657232
% SZS output start Proof for 1101148453798483881657232
1. ! [X0] : ((~strong(X0) & curious(X0)) <=> (funny(X0) | ~curious(X0))) [input p0]
10. ! [X0] : (~tall(X0) <=> (old(X0) | quiet(X0))) [input p9]
14. ! [X0] : ((curious(X0) | tall(X0)) => (tall(X0) & strong(X... | 0 |
If fred is not wise then mary is both not humble and humble and vice versa.
If someone is both not old and tall then someone is either brave or not tall and vice versa.
If someone is either kind or not happy then someone is curious.
If someone is curious or rich then alice is curious or not strong.
Everyone who is pati... | Susan is not generous. | contradiction | ((~wise(fred))<=>((~humble(mary)&humble(mary))))&
((?[X]:((~old(X)&tall(X))))<=>(?[X]:((brave(X)<~>~tall(X)))))&
((?[X]:((kind(X)<~>~happy(X))))=>(?[X]:(curious(X))))&
((?[X]:((curious(X)|rich(X))))=>((curious(alice)|~strong(alice))))&
(![X]:((patient(X)|humble(X))=>~kind(X)))&
(![X]:((~funny(X)|wise(X))=>(~old(X)<~>~g... | ~generous(susan) | [
"p4",
"p10",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 753862617685840338348514
% SZS output start Proof for 753862617685840338348514
5. ! [X0] : ((humble(X0) | patient(X0)) => ~kind(X0)) [input p4]
11. ! [X0] : ((~rich(X0) | creative(X0)) => (old(X0) & generous(X0))) [input p10]
13. ! [X0] : ((humble(X0) <~> brave(X0)) <=> (~strong(X0) <~> r... | 0 |
If someone is either calm or funny then someone is both not strong and quiet and vice versa.
If someone is either strong or curious then fred is not kind and vice versa.
If susan is not rich then john is quiet or patient.
If mary is either not tall or generous then someone is not happy or kind.
If paul is both humble a... | Alice is not strong. | entailment | ((?[X]:((calm(X)<~>funny(X))))<=>(?[X]:((~strong(X)&quiet(X)))))&
((?[X]:((strong(X)<~>curious(X))))<=>(~kind(fred)))&
((~rich(susan))=>((quiet(john)|patient(john))))&
(((~tall(mary)<~>generous(mary)))=>(?[X]:((~happy(X)|kind(X)))))&
(((humble(paul)&~kind(paul)))<=>(?[X]:((funny(X)&~strong(X)))))&
((?[X]:((~old(X)|tall... | ~strong(alice) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2104700736330419505366476
% SZS output start Proof for 2104700736330419505366476
8. ! [X0] : ((old(X0) & ~strong(X0)) <=> (quiet(X0) | calm(X0))) [input p7]
13. (rich(alice) & quiet(alice)) <=> ~calm(alice) [input p12]
25. strong(alice) [input hypothesis]
62. ! [X0] : (((old(X0) & ~strong... | 0 |
If fred is tall then susan is both quiet and not strong.
Everyone who is not wise is not wise or not quiet.
If someone is both curious and not quiet then someone is curious.
If someone is not old then someone is both quiet and curious and vice versa.
Everyone who is either not calm or not old is either old or patient.
... | Paul is not humble. | contradiction | ((tall(fred))=>((quiet(susan)&~strong(susan))))&
(![X]:(~wise(X)=>(~wise(X)|~quiet(X))))&
((?[X]:((curious(X)&~quiet(X))))=>(?[X]:(curious(X))))&
((?[X]:(~old(X)))<=>(?[X]:((quiet(X)&curious(X)))))&
(![X]:((~calm(X)<~>~old(X))=>(old(X)<~>patient(X))))&
(![X]:((~calm(X)|old(X))<=>(~strong(X)|quiet(X))))&
(((rich(paul)<~... | ~humble(paul) | [
"p7",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2998288509395646095696522
% SZS output start Proof for 2998288509395646095696522
8. ! [X0] : (~quiet(X0) <=> (~happy(X0) <~> quiet(X0))) [input p7]
10. ? [X0] : (~creative(X0) | ~brave(X0)) <=> humble(paul) [input p9]
11. ? [X0] : (creative(X0) | ~quiet(X0)) <=> (~curious(paul) & kind(pau... | 0 |
Everyone who is either not old or kind is rich or funny. Everyone who is either not calm or strong is strong and vice versa. Everyone who is either not creative or not wise is either not rich or humble and vice versa. Everyone who is both not old and strong is not patient. Everyone who is both not strong and tall is no... | Fred is not creative. | contradiction | (![X]:((~old(X)<~>kind(X))=>(rich(X)|funny(X))))&
(![X]:((~calm(X)<~>strong(X))<=>strong(X)))&
(![X]:((~creative(X)<~>~wise(X))<=>(~rich(X)<~>humble(X))))&
(![X]:((~old(X)&strong(X))=>~patient(X)))&
(![X]:((~strong(X)&tall(X))=>~creative(X)))&
(![X]:((~creative(X)&patient(X))=>wise(X)))&
(![X]:((old(X)<~>~wise(X))=>(~o... | ~creative(fred) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1242538496991385173156204
% SZS output start Proof for 1242538496991385173156204
2. ! [X0] : ((~calm(X0) <~> strong(X0)) <=> strong(X0)) [input p1]
4. ! [X0] : ((strong(X0) & ~old(X0)) => ~patient(X0)) [input p3]
6. ! [X0] : ((patient(X0) & ~creative(X0)) => wise(X0)) [input p5]
7. ! [X0]... | 0 |
Everyone who is both patient and generous is both wise and creative. Everyone who is both calm and happy is both strong and not tall and vice versa. Everyone who is rich is both wise and kind and vice versa. Everyone who is not creative or not humble is funny and vice versa. Everyone who is either curious or kind is br... | Lucy is wise. | entailment | (![X]:((patient(X)&generous(X))=>(wise(X)&creative(X))))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:((curious(X)<~>kind(X))<=>brave(X)))&
(![X]:((wise(X)|curious(X))=>(humble(X)|~calm(X))))&
(((quiet(lucy)|brave(lucy)))... | wise(lucy) | [
"p3",
"p8",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 438800609950123576226366
% SZS output start Proof for 438800609950123576226366
4. ! [X0] : ((~humble(X0) | ~creative(X0)) <=> funny(X0)) [input p3]
9. ! [X0] : ((quiet(X0) | ~wise(X0)) <=> (~humble(X0) & curious(X0))) [input p8]
15. ! [X0] : ((tall(X0) | funny(X0)) <=> patient(X0)) [input... | 0 |
If someone is not creative then someone is not tall.
If paul is either curious or patient then paul is both not happy and rich and vice versa.
If john is either patient or not brave then mary is either not generous or not calm and vice versa.
If lucy is both not kind and curious then someone is creative or not quiet.
E... | Fred is humble. | neutral | ((?[X]:(~creative(X)))=>(?[X]:(~tall(X))))&
(((curious(paul)<~>patient(paul)))<=>((~happy(paul)&rich(paul))))&
(((patient(john)<~>~brave(john)))<=>((~generous(mary)<~>~calm(mary))))&
(((~kind(lucy)&curious(lucy)))=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:((~strong(X)<~>~patient(X))<=>(~strong(X)&~happy(X))))&
((?[X]:(... | humble(fred) | [] | null | 0 |
Everyone who is either humble or quiet is not strong or not happy and vice versa.
Everyone who is not brave is both happy and generous and vice versa.
Everyone who is either not generous or not creative is both humble and tall.
Everyone who is either not funny or brave is curious or not curious and vice versa.
Everyone... | Paul is not rich. | contradiction | (![X]:((humble(X)<~>quiet(X))<=>(~strong(X)|~happy(X))))&
(![X]:(~brave(X)<=>(happy(X)&generous(X))))&
(![X]:((~generous(X)<~>~creative(X))=>(humble(X)&tall(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(curious(X)|~curious(X))))&
(![X]:((~strong(X)|generous(X))=>(~humble(X)|~curious(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(old... | ~rich(paul) | [
"p2",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4976175185473529109179740
% SZS output start Proof for 4976175185473529109179740
3. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => (tall(X0) & humble(X0))) [input p2]
8. ! [X0] : ((calm(X0) & ~rich(X0)) <=> (~rich(X0) | strong(X0))) [input p7]
13. ! [X0] : ((rich(X0) <~> ~creative(X0)) <=... | 0 |
Everyone who is either happy or strong is not rich or wise and vice versa. If mary is both not funny and curious then someone is not funny or strong and vice versa. Everyone who is either calm or wise is tall and vice versa. Everyone who is both not curious and wise is not funny. Everyone who is not wise or not kind is... | Paul is not rich. | neutral | (![X]:((happy(X)<~>strong(X))<=>(~rich(X)|wise(X))))&
(((~funny(mary)&curious(mary)))<=>(?[X]:((~funny(X)|strong(X)))))&
(![X]:((calm(X)<~>wise(X))<=>tall(X)))&
(![X]:((~curious(X)&wise(X))=>~funny(X)))&
(![X]:((~wise(X)|~kind(X))<=>(quiet(X)|~wise(X))))&
(![X]:((humble(X)<~>~curious(X))=>creative(X)))&
(![X]:((rich(X)... | ~rich(paul) | [] | null | 0 |
If someone is both quiet and not strong then paul is both not old and not patient. Everyone who is either not strong or not tall is either not calm or not strong. Everyone who is strong is either not old or humble. Everyone who is not creative or not humble is both not old and not tall. If someone is not brave or not s... | Paul is generous. | contradiction | ((?[X]:((quiet(X)&~strong(X))))=>((~old(paul)&~patient(paul))))&
(![X]:((~strong(X)<~>~tall(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall(fred))))&
(![X]:((wise(X)<~>strong(X))<=>~... | generous(paul) | [
"p3",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 802757295812408619576666
% SZS output start Proof for 802757295812408619576666
4. ! [X0] : ((~humble(X0) | ~creative(X0)) => (~tall(X0) & ~old(X0))) [input p3]
7. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p6]
8. (tall(paul) | ~generous(paul)) <=> (~q... | 0 |
Everyone who is both curious and not kind is quiet and vice versa.
Everyone who is either not calm or creative is not brave or not strong and vice versa.
Everyone who is quiet is not quiet or calm.
If someone is not brave then someone is curious and vice versa.
If someone is patient then someone is both wise and happy ... | Fred is not kind. | contradiction | (![X]:((curious(X)&~kind(X))<=>quiet(X)))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)|~strong(X))))&
(![X]:(quiet(X)=>(~quiet(X)|calm(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(curious(X))))&
((?[X]:(patient(X)))<=>(?[X]:((wise(X)&happy(X)))))&
(((kind(fred)&~patient(fred)))=>(?[X]:((funny(X)<~>curious(X)))))&
(![X]:((old(X... | ~kind(fred) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3592097907471459035183557
% SZS output start Proof for 3592097907471459035183557
1. ! [X0] : ((~kind(X0) & curious(X0)) <=> quiet(X0)) [input p0]
7. ! [X0] : ((quiet(X0) | old(X0)) <=> (~curious(X0) & creative(X0))) [input p6]
12. ! [X0] : ((rich(X0) | ~quiet(X0)) <=> kind(X0)) [input p11... | 0 |
Everyone who is both strong and not creative is both not funny and not happy and vice versa.
Everyone who is rich or wise is not calm.
If susan is brave then someone is both not quiet and curious and vice versa.
Everyone who is either brave or kind is not tall.
If mary is not calm or patient then someone is both not br... | Fred is not funny. | entailment | (![X]:((strong(X)&~creative(X))<=>(~funny(X)&~happy(X))))&
(![X]:((rich(X)|wise(X))=>~calm(X)))&
((brave(susan))<=>(?[X]:((~quiet(X)&curious(X)))))&
(![X]:((brave(X)<~>kind(X))=>~tall(X)))&
(((~calm(mary)|patient(mary)))=>(?[X]:((~brave(X)&~strong(X)))))&
(![X]:(~curious(X)<=>(~generous(X)|~old(X))))&
(((~happy(mary)&~... | ~funny(fred) | [
"p0",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5617968440378334318591681
% SZS output start Proof for 5617968440378334318591681
1. ! [X0] : ((~creative(X0) & strong(X0)) <=> (~happy(X0) & ~funny(X0))) [input p0]
10. ! [X0] : ((wise(X0) & happy(X0)) <=> (~strong(X0) | wise(X0))) [input p9]
13. ! [X0] : (~strong(X0) => (~wise(X0) & crea... | 0 |
If paul is both not curious and patient then someone is either not quiet or not wise.
If mary is not generous then someone is not old or tall and vice versa.
If paul is not wise or not patient then someone is kind or calm.
Everyone who is strong or generous is not tall or not wise and vice versa.
Everyone who is both n... | Susan is tall. | entailment | (((~curious(paul)&patient(paul)))=>(?[X]:((~quiet(X)<~>~wise(X)))))&
((~generous(mary))<=>(?[X]:((~old(X)|tall(X)))))&
(((~wise(paul)|~patient(paul)))=>(?[X]:((kind(X)|calm(X)))))&
(![X]:((strong(X)|generous(X))<=>(~tall(X)|~wise(X))))&
(![X]:((~creative(X)&~wise(X))<=>patient(X)))&
(![X]:((~creative(X)<~>generous(X))=... | tall(susan) | [
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7884778243806187069869252
% SZS output start Proof for 7884778243806187069869252
20. tall(susan) | ~creative(susan) [input p19]
24. ~tall(susan) <~> ~creative(susan) [input p23]
25. ~tall(susan) [input hypothesis]
74. (creative(susan) | tall(susan)) & (~creative(susan) | ~tall(susan)) [nn... | 0 |
Everyone who is either creative or rich is both not funny and not patient.
Everyone who is both calm and humble is funny and vice versa.
Everyone who is either strong or not curious is both humble and not patient and vice versa.
Everyone who is happy is both not calm and not strong.
Everyone who is not happy or not cur... | Susan is happy. | contradiction | (![X]:((creative(X)<~>rich(X))=>(~funny(X)&~patient(X))))&
(![X]:((calm(X)&humble(X))<=>funny(X)))&
(![X]:((strong(X)<~>~curious(X))<=>(humble(X)&~patient(X))))&
(![X]:(happy(X)=>(~calm(X)&~strong(X))))&
(![X]:((~happy(X)|~curious(X))<=>old(X)))&
(![X]:((creative(X)<~>~happy(X))=>(~strong(X)|patient(X))))&
(((happy(mar... | happy(susan) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7184699532503897933490746
% SZS output start Proof for 7184699532503897933490746
3. ! [X0] : ((strong(X0) <~> ~curious(X0)) <=> (~patient(X0) & humble(X0))) [input p2]
4. ! [X0] : (happy(X0) => (~strong(X0) & ~calm(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> old(X0)) [in... | 0 |
Everyone who is strong or not rich is both quiet and happy.
Everyone who is not creative is not calm or calm and vice versa.
Everyone who is not quiet or not generous is either not brave or humble and vice versa.
Everyone who is not humble or not strong is not old or not curious and vice versa.
If mary is either curiou... | Paul is old. | contradiction | (![X]:((strong(X)|~rich(X))=>(quiet(X)&happy(X))))&
(![X]:(~creative(X)<=>(~calm(X)|calm(X))))&
(![X]:((~quiet(X)|~generous(X))<=>(~brave(X)<~>humble(X))))&
(![X]:((~humble(X)|~strong(X))<=>(~old(X)|~curious(X))))&
(((curious(mary)<~>brave(mary)))<=>(?[X]:(old(X))))&
((?[X]:((~old(X)&kind(X))))=>((curious(mary)|happy(m... | old(paul) | [
"p1",
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 896767815062796358279773
% SZS output start Proof for 896767815062796358279773
2. ! [X0] : (~creative(X0) <=> (calm(X0) | ~calm(X0))) [input p1]
5. (curious(mary) <~> brave(mary)) <=> ? [X0] : old(X0) [input p4]
7. ! [X0] : ((~kind(X0) & ~curious(X0)) <=> (old(X0) | ~brave(X0))) [input p6... | 0 |
If someone is not happy then someone is both creative and not brave and vice versa.
Everyone who is both not quiet and not rich is either not strong or wise.
Everyone who is kind is either not wise or not kind and vice versa.
Everyone who is happy is not quiet or old and vice versa.
If someone is not wise then someone ... | Alice is not old. | contradiction | ((?[X]:(~happy(X)))<=>(?[X]:((creative(X)&~brave(X)))))&
(![X]:((~quiet(X)&~rich(X))=>(~strong(X)<~>wise(X))))&
(![X]:(kind(X)<=>(~wise(X)<~>~kind(X))))&
(![X]:(happy(X)<=>(~quiet(X)|old(X))))&
((?[X]:(~wise(X)))=>(?[X]:(tall(X))))&
(((~quiet(alice)|~generous(alice)))<=>(?[X]:((~wise(X)|humble(X)))))&
(![X]:((tall(X)&~... | ~old(alice) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4268050698621512849561745
% SZS output start Proof for 4268050698621512849561745
3. ! [X0] : (kind(X0) <=> (~wise(X0) <~> ~kind(X0))) [input p2]
10. ! [X0] : ((generous(X0) | ~old(X0)) <=> (~strong(X0) & wise(X0))) [input p9]
24. ~old(alice) [input hypothesis]
42. ! [X0] : ((kind(X0) | ((... | 0 |
If someone is not tall or not strong then someone is tall or strong.
If someone is either strong or rich then alice is both not creative and not funny.
Everyone who is old is rich.
Everyone who is brave is both not funny and not wise and vice versa.
If someone is both not humble and kind then john is not patient.
Every... | Fred is curious. | neutral | ((?[X]:((~tall(X)|~strong(X))))=>(?[X]:((tall(X)|strong(X)))))&
((?[X]:((strong(X)<~>rich(X))))=>((~creative(alice)&~funny(alice))))&
(![X]:(old(X)=>rich(X)))&
(![X]:(brave(X)<=>(~funny(X)&~wise(X))))&
((?[X]:((~humble(X)&kind(X))))=>(~patient(john)))&
(![X]:((~patient(X)|~funny(X))<=>(~humble(X)<~>~strong(X))))&
(![X]... | curious(fred) | [] | null | 0 |
If someone is not patient or not strong then paul is not rich or old. If fred is not brave then someone is not creative or not funny and vice versa. If fred is either not wise or old then someone is both not funny and not tall. Everyone who is old is not wise or not patient. If lucy is either not patient or not creativ... | Mary is funny. | neutral | ((?[X]:((~patient(X)|~strong(X))))=>((~rich(paul)|old(paul))))&
((~brave(fred))<=>(?[X]:((~creative(X)|~funny(X)))))&
(((~wise(fred)<~>old(fred)))=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:(old(X)=>(~wise(X)|~patient(X))))&
(((~patient(lucy)<~>~creative(lucy)))<=>(?[X]:((brave(X)|wise(X)))))&
(![X]:(~rich(X)<=>(~humble(X)... | funny(mary) | [] | null | 0 |
If alice is not generous or not patient then alice is quiet or happy and vice versa.
If someone is both not tall and not generous then someone is both curious and not rich and vice versa.
If paul is either not curious or quiet then susan is both not wise and not curious.
Everyone who is either curious or funny is funny... | Alice is not patient. | neutral | (((~generous(alice)|~patient(alice)))<=>((quiet(alice)|happy(alice))))&
((?[X]:((~tall(X)&~generous(X))))<=>(?[X]:((curious(X)&~rich(X)))))&
(((~curious(paul)<~>quiet(paul)))=>((~wise(susan)&~curious(susan))))&
(![X]:((curious(X)<~>funny(X))<=>funny(X)))&
(((quiet(alice)<~>wise(alice)))<=>(?[X]:((curious(X)&~rich(X))))... | ~patient(alice) | [] | null | 0 |
If john is not old then someone is both generous and not curious and vice versa.
Everyone who is both wise and strong is not wise and vice versa.
Everyone who is not wise or not generous is both not creative and not kind.
Everyone who is patient is either kind or not brave.
If mary is either strong or creative then som... | Mary is not wise. | contradiction | ((~old(john))<=>(?[X]:((generous(X)&~curious(X)))))&
(![X]:((wise(X)&strong(X))<=>~wise(X)))&
(![X]:((~wise(X)|~generous(X))=>(~creative(X)&~kind(X))))&
(![X]:(patient(X)=>(kind(X)<~>~brave(X))))&
(((strong(mary)<~>creative(mary)))=>(?[X]:((quiet(X)|old(X)))))&
(![X]:(tall(X)<=>(~calm(X)&~funny(X))))&
(![X]:((~brave(X)... | ~wise(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5464860491396579611328971
% SZS output start Proof for 5464860491396579611328971
2. ! [X0] : ((strong(X0) & wise(X0)) <=> ~wise(X0)) [input p1]
25. ~wise(mary) [input hypothesis]
45. ! [X0] : (((strong(X0) & wise(X0)) | wise(X0)) & (~wise(X0) | (~strong(X0) | ~wise(X0)))) [nnf transformat... | 0 |
If someone is curious or not rich then alice is funny or not humble and vice versa.
Everyone who is quiet or not quiet is both not wise and generous.
If fred is generous or not kind then someone is either wise or humble and vice versa.
Everyone who is strong is quiet.
If susan is generous or not happy then fred is not ... | John is happy. | entailment | ((?[X]:((curious(X)|~rich(X))))<=>((funny(alice)|~humble(alice))))&
(![X]:((quiet(X)|~quiet(X))=>(~wise(X)&generous(X))))&
(((generous(fred)|~kind(fred)))<=>(?[X]:((wise(X)<~>humble(X)))))&
(![X]:(strong(X)=>quiet(X)))&
(((generous(susan)|~happy(susan)))=>(~quiet(fred)))&
(![X]:((funny(X)<~>~rich(X))=>(kind(X)|wise(X))... | happy(john) | [
"p1",
"p6",
"p9",
"p12",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7785501810331951132871292
% SZS output start Proof for 7785501810331951132871292
2. ! [X0] : ((~quiet(X0) | quiet(X0)) => (generous(X0) & ~wise(X0))) [input p1]
7. ! [X0] : (~creative(X0) <=> quiet(X0)) [input p6]
10. ! [X0] : ((~wise(X0) | ~humble(X0)) => (~tall(X0) & ~strong(X0))) [inpu... | 0 |
If paul is brave or not quiet then paul is creative.
Everyone who is both not old and not calm is not calm or not humble and vice versa.
If someone is both curious and happy then someone is not brave and vice versa.
Everyone who is patient or creative is not quiet.
Everyone who is both not brave and not creative is not... | Mary is calm. | neutral | (((brave(paul)|~quiet(paul)))=>(creative(paul)))&
(![X]:((~old(X)&~calm(X))<=>(~calm(X)|~humble(X))))&
((?[X]:((curious(X)&happy(X))))<=>(?[X]:(~brave(X))))&
(![X]:((patient(X)|creative(X))=>~quiet(X)))&
(![X]:((~brave(X)&~creative(X))=>(~creative(X)|~calm(X))))&
(((~calm(paul)|happy(paul)))=>((~patient(fred)|old(fred)... | calm(mary) | [] | null | 0 |
Everyone who is wise or not creative is both not strong and not happy and vice versa.
Everyone who is both not strong and not curious is happy or calm and vice versa.
Everyone who is funny is patient and vice versa.
Everyone who is not humble or strong is not patient and vice versa.
Everyone who is either not brave or ... | Paul is wise. | contradiction | (![X]:((wise(X)|~creative(X))<=>(~strong(X)&~happy(X))))&
(![X]:((~strong(X)&~curious(X))<=>(happy(X)|calm(X))))&
(![X]:(funny(X)<=>patient(X)))&
(![X]:((~humble(X)|strong(X))<=>~patient(X)))&
(![X]:((~brave(X)<~>kind(X))<=>brave(X)))&
((?[X]:((~patient(X)<~>~curious(X))))<=>((~wise(lucy)|happy(lucy))))&
(((~rich(paul)... | wise(paul) | [
"p0",
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7096235419497441343537904
% SZS output start Proof for 7096235419497441343537904
1. ! [X0] : ((~creative(X0) | wise(X0)) <=> (~happy(X0) & ~strong(X0))) [input p0]
4. ! [X0] : ((strong(X0) | ~humble(X0)) <=> ~patient(X0)) [input p3]
8. ! [X0] : ((creative(X0) | patient(X0)) => (happy(X0) ... | 0 |
Everyone who is rich is both quiet and not quiet. Everyone who is either patient or not wise is not funny or curious. Everyone who is both old and not calm is either not curious or not calm and vice versa. Everyone who is quiet or curious is not kind or old and vice versa. Everyone who is either not happy or quiet is e... | Alice is brave. | neutral | (![X]:(rich(X)=>(quiet(X)&~quiet(X))))&
(![X]:((patient(X)<~>~wise(X))=>(~funny(X)|curious(X))))&
(![X]:((old(X)&~calm(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((quiet(X)|curious(X))<=>(~kind(X)|old(X))))&
(![X]:((~happy(X)<~>quiet(X))=>(~happy(X)<~>~wise(X))))&
(![X]:((creative(X)<~>humble(X))=>(old(X)|~rich(X))))&
(((... | brave(alice) | [] | null | 0 |
If lucy is both not patient and not quiet then mary is not kind.
Everyone who is wise or not humble is not happy and vice versa.
If someone is both not wise and curious then alice is humble.
If someone is not humble or not patient then someone is not calm and vice versa.
Everyone who is not happy is patient.
If lucy is... | Alice is not strong. | entailment | (((~patient(lucy)&~quiet(lucy)))=>(~kind(mary)))&
(![X]:((wise(X)|~humble(X))<=>~happy(X)))&
((?[X]:((~wise(X)&curious(X))))=>(humble(alice)))&
((?[X]:((~humble(X)|~patient(X))))<=>(?[X]:(~calm(X))))&
(![X]:(~happy(X)=>patient(X)))&
(((~curious(lucy)&~happy(lucy)))=>(?[X]:((strong(X)<~>kind(X)))))&
(((tall(fred)|~tall(... | ~strong(alice) | [
"p1",
"p8",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 50377892870940123712678
% SZS output start Proof for 50377892870940123712678
2. ! [X0] : ((~humble(X0) | wise(X0)) <=> ~happy(X0)) [input p1]
9. ! [X0] : ((humble(X0) | ~quiet(X0)) <=> (~old(X0) & wise(X0))) [input p8]
14. ! [X0] : ((wise(X0) & ~tall(X0)) <=> (happy(X0) <~> strong(X0))) [... | 0 |
Everyone who is not generous is not rich or calm and vice versa.
If someone is not calm or wise then someone is not creative or not strong.
If susan is not calm or calm then lucy is either not curious or wise and vice versa.
If mary is kind then someone is either strong or not generous and vice versa.
If someone is not... | Fred is not tall. | entailment | (![X]:(~generous(X)<=>(~rich(X)|calm(X))))&
((?[X]:((~calm(X)|wise(X))))=>(?[X]:((~creative(X)|~strong(X)))))&
(((~calm(susan)|calm(susan)))<=>((~curious(lucy)<~>wise(lucy))))&
((kind(mary))<=>(?[X]:((strong(X)<~>~generous(X)))))&
((?[X]:(~funny(X)))=>(?[X]:((kind(X)|~kind(X)))))&
(![X]:(kind(X)=>~kind(X)))&
(![X]:((cr... | ~tall(fred) | [
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 703159696512596248742166
% SZS output start Proof for 703159696512596248742166
10. (~quiet(john) & happy(john)) <=> ? [X0] : wise(X0) [input p9]
11. ! [X0] : ((humble(X0) & ~happy(X0)) <=> (rich(X0) | happy(X0))) [input p10]
21. ~tall(fred) <~> wise(fred) [input p20]
24. tall(fred) [input... | 0 |
Everyone who is quiet or not strong is humble or not generous.
Everyone who is not curious is either kind or not calm and vice versa.
If someone is rich then someone is either tall or rich and vice versa.
If someone is either old or not brave then john is not strong or wise and vice versa.
Everyone who is funny or not ... | Lucy is kind. | entailment | (![X]:((quiet(X)|~strong(X))=>(humble(X)|~generous(X))))&
(![X]:(~curious(X)<=>(kind(X)<~>~calm(X))))&
((?[X]:(rich(X)))<=>(?[X]:((tall(X)<~>rich(X)))))&
((?[X]:((old(X)<~>~brave(X))))<=>((~strong(john)|wise(john))))&
(![X]:((funny(X)|~creative(X))=>(patient(X)|~tall(X))))&
((?[X]:((old(X)|quiet(X))))<=>((~creative(fre... | kind(lucy) | [
"p0",
"p7",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1385682699804420676322343
% SZS output start Proof for 1385682699804420676322343
1. ! [X0] : ((~strong(X0) | quiet(X0)) => (~generous(X0) | humble(X0))) [input p0]
8. ! [X0] : ((~generous(X0) <~> calm(X0)) <=> (~funny(X0) & calm(X0))) [input p7]
10. ! [X0] : (~kind(X0) => ~brave(X0)) [inp... | 0 |
Everyone who is either patient or not calm is tall.
Everyone who is not tall is either not tall or not quiet and vice versa.
If fred is either not brave or not quiet then someone is both not old and not kind.
Everyone who is humble is not rich or wise and vice versa.
Everyone who is not rich or rich is happy or curious... | Paul is not old. | neutral | (![X]:((patient(X)<~>~calm(X))=>tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)<~>~quiet(X))))&
(((~brave(fred)<~>~quiet(fred)))=>(?[X]:((~old(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~rich(X)|wise(X))))&
(![X]:((~rich(X)|rich(X))=>(happy(X)|curious(X))))&
((?[X]:((curious(X)|~generous(X))))<=>(?[X]:(~brave(X))))&
(((~wise(alice)|w... | ~old(paul) | [] | null | 0 |
Everyone who is happy is both not generous and not quiet and vice versa.
Everyone who is kind or rich is both not generous and not brave.
Everyone who is both rich and not brave is not tall or not strong.
If paul is not patient then someone is not kind or patient.
Everyone who is either not creative or curious is not k... | Paul is not old. | contradiction | (![X]:(happy(X)<=>(~generous(X)&~quiet(X))))&
(![X]:((kind(X)|rich(X))=>(~generous(X)&~brave(X))))&
(![X]:((rich(X)&~brave(X))=>(~tall(X)|~strong(X))))&
((~patient(paul))=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((~creative(X)<~>curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~strong(X)|wise(X))))... | ~old(paul) | [
"p1",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1216395291061022305687224
% SZS output start Proof for 1216395291061022305687224
2. ! [X0] : ((rich(X0) | kind(X0)) => (~brave(X0) & ~generous(X0))) [input p1]
7. ! [X0] : ((rich(X0) <~> old(X0)) => ~rich(X0)) [input p6]
14. ! [X0] : ((rich(X0) & patient(X0)) <=> (~brave(X0) <~> brave(X0)... | 0 |
If someone is kind then john is either not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is... | Fred is brave. | contradiction | ((?[X]:(kind(X)))<=>((~quiet(john)<~>humble(john))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(... | brave(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 35803350791638291303972
% SZS output start Proof for 35803350791638291303972
16. ! [X0] : ((~patient(X0) & ~brave(X0)) <=> (humble(X0) | brave(X0))) [input p15]
23. brave(fred) [input hypothesis]
59. ! [X0] : (((~patient(X0) & ~brave(X0)) | (~humble(X0) & ~brave(X0))) & ((humble(X0) | bra... | 0 |
If someone is both curious and tall then someone is both old and not strong and vice versa.
Everyone who is not kind or not funny is either not old or humble and vice versa.
Everyone who is creative is tall.
Everyone who is either creative or funny is either not brave or tall and vice versa.
Everyone who is funny is bo... | Susan is not humble. | contradiction | ((?[X]:((curious(X)&tall(X))))<=>(?[X]:((old(X)&~strong(X)))))&
(![X]:((~kind(X)|~funny(X))<=>(~old(X)<~>humble(X))))&
(![X]:(creative(X)=>tall(X)))&
(![X]:((creative(X)<~>funny(X))<=>(~brave(X)<~>tall(X))))&
(![X]:(funny(X)<=>(~curious(X)&brave(X))))&
(![X]:((strong(X)|happy(X))<=>(creative(X)|~strong(X))))&
((?[X]:(p... | ~humble(susan) | [
"p2",
"p3",
"p4",
"p13",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 552897370108769135593167
% SZS output start Proof for 552897370108769135593167
3. ! [X0] : (creative(X0) => tall(X0)) [input p2]
4. ! [X0] : ((creative(X0) <~> funny(X0)) <=> (~brave(X0) <~> tall(X0))) [input p3]
5. ! [X0] : (funny(X0) <=> (brave(X0) & ~curious(X0))) [input p4]
14. ! [X0]... | 0 |
If alice is both humble and not humble then someone is both strong and humble and vice versa.
Everyone who is old or brave is both wise and not curious and vice versa.
If alice is both kind and generous then someone is either generous or not curious and vice versa.
If someone is wise or not creative then fred is either... | Fred is brave. | contradiction | (((humble(alice)&~humble(alice)))<=>(?[X]:((strong(X)&humble(X)))))&
(![X]:((old(X)|brave(X))<=>(wise(X)&~curious(X))))&
(((kind(alice)&generous(alice)))<=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:((wise(X)|~creative(X))))<=>((generous(fred)<~>humble(fred))))&
(![X]:(brave(X)<=>(~happy(X)&~old(X))))&
(![X]:((~tall... | brave(fred) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5559926840394018025825432
% SZS output start Proof for 5559926840394018025825432
5. ! [X0] : (brave(X0) <=> (~old(X0) & ~happy(X0))) [input p4]
22. old(fred) [input p21]
23. brave(fred) [input hypothesis]
54. ! [X0] : ((brave(X0) | (old(X0) | happy(X0))) & ((~old(X0) & ~happy(X0)) | ~brav... | 0 |
If someone is either not kind or creative then someone is either not patient or old.
Everyone who is brave is not tall or generous and vice versa.
Everyone who is generous or calm is either happy or tall.
If someone is either not curious or rich then paul is creative or not curious and vice versa.
Everyone who is eithe... | Susan is not creative. | entailment | ((?[X]:((~kind(X)<~>creative(X))))=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(brave(X)<=>(~tall(X)|generous(X))))&
(![X]:((generous(X)|calm(X))=>(happy(X)<~>tall(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>((creative(paul)|~curious(paul))))&
(![X]:((creative(X)<~>old(X))=>(~patient(X)|quiet(X))))&
(((curious(susan)|~gene... | ~creative(susan) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p10",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6284829217037943587523550
% SZS output start Proof for 6284829217037943587523550
2. ! [X0] : (brave(X0) <=> (generous(X0) | ~tall(X0))) [input p1]
3. ! [X0] : ((calm(X0) | generous(X0)) => (happy(X0) <~> tall(X0))) [input p2]
6. (~generous(susan) | curious(susan)) <=> (tall(fred) & ~patie... | 0 |
If someone is not generous then someone is kind or brave.
If mary is either not strong or not quiet then someone is not wise.
If paul is not rich then alice is not curious or not strong and vice versa.
If mary is both not creative and not tall then someone is not happy and vice versa.
If john is both happy and not quie... | Mary is not happy. | contradiction | ((?[X]:(~generous(X)))=>(?[X]:((kind(X)|brave(X)))))&
(((~strong(mary)<~>~quiet(mary)))=>(?[X]:(~wise(X))))&
((~rich(paul))<=>((~curious(alice)|~strong(alice))))&
(((~creative(mary)&~tall(mary)))<=>(?[X]:(~happy(X))))&
(((happy(john)&~quiet(john)))<=>(?[X]:(~curious(X))))&
(![X]:(funny(X)<=>(~happy(X)<~>humble(X))))&
(... | ~happy(mary) | [
"p3",
"p10",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6958443250298167952760448
% SZS output start Proof for 6958443250298167952760448
4. (~tall(mary) & ~creative(mary)) <=> ? [X0] : ~happy(X0) [input p3]
11. ! [X0] : ((brave(X0) | generous(X0)) => ~generous(X0)) [input p10]
13. ! [X0] : ((~rich(X0) | ~strong(X0)) <=> (tall(X0) | ~brave(X0))... | 0 |
Everyone who is not wise is both strong and not happy and vice versa. If john is either rich or tall then paul is old. If someone is both not happy and not curious then lucy is not curious. If mary is either not creative or not patient then paul is patient. If john is both calm and not strong then paul is not humble or... | Fred is happy. | contradiction | (![X]:(~wise(X)<=>(strong(X)&~happy(X))))&
(((rich(john)<~>tall(john)))=>(old(paul)))&
((?[X]:((~happy(X)&~curious(X))))=>(~curious(lucy)))&
(((~creative(mary)<~>~patient(mary)))=>(patient(paul)))&
(((calm(john)&~strong(john)))=>((~humble(paul)|funny(paul))))&
((?[X]:((~happy(X)|~quiet(X))))<=>((~happy(fred)&old(fred))... | happy(fred) | [
"p5",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2142523594919433107836835
% SZS output start Proof for 2142523594919433107836835
6. ? [X0] : (~quiet(X0) | ~happy(X0)) <=> (old(fred) & ~happy(fred)) [input p5]
7. ! [X0] : (~calm(X0) <=> (strong(X0) | quiet(X0))) [input p6]
9. (~calm(lucy) <~> happy(lucy)) <=> ~kind(mary) [input p8]
16. ... | 0 |
If someone is wise or not creative then someone is strong.
If someone is both not kind and rich then john is either not happy or quiet and vice versa.
If someone is both calm and generous then lucy is both quiet and not brave.
Everyone who is old is either not brave or not calm.
Everyone who is both strong and not calm... | Paul is creative. | entailment | ((?[X]:((wise(X)|~creative(X))))=>(?[X]:(strong(X))))&
((?[X]:((~kind(X)&rich(X))))<=>((~happy(john)<~>quiet(john))))&
((?[X]:((calm(X)&generous(X))))=>((quiet(lucy)&~brave(lucy))))&
(![X]:(old(X)=>(~brave(X)<~>~calm(X))))&
(![X]:((strong(X)&~calm(X))<=>~brave(X)))&
((?[X]:((patient(X)|~strong(X))))<=>(~calm(fred)))&
(... | creative(paul) | [
"p3",
"p4",
"p6",
"p10",
"p11",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 594238824068428862816568
% SZS output start Proof for 594238824068428862816568
4. ! [X0] : (old(X0) => (~brave(X0) <~> ~calm(X0))) [input p3]
5. ! [X0] : ((~calm(X0) & strong(X0)) <=> ~brave(X0)) [input p4]
7. ! [X0] : ((creative(X0) <~> happy(X0)) => (~happy(X0) & kind(X0))) [input p6]
1... | 0 |
Everyone who is either not rich or patient is not curious or rich and vice versa.
Everyone who is brave or creative is both not brave and not curious and vice versa.
Everyone who is strong or happy is tall and vice versa.
If alice is both not old and not tall then someone is either patient or humble and vice versa.
Eve... | Susan is strong. | entailment | (![X]:((~rich(X)<~>patient(X))<=>(~curious(X)|rich(X))))&
(![X]:((brave(X)|creative(X))<=>(~brave(X)&~curious(X))))&
(![X]:((strong(X)|happy(X))<=>tall(X)))&
(((~old(alice)&~tall(alice)))<=>(?[X]:((patient(X)<~>humble(X)))))&
(![X]:((~happy(X)&~calm(X))=>(generous(X)|brave(X))))&
(![X]:((~calm(X)|happy(X))<=>(~creative... | strong(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4887879853627794059808567
% SZS output start Proof for 4887879853627794059808567
23. strong(susan) & funny(susan) [input p22]
24. ~strong(susan) [input hypothesis]
149. strong(susan) [cnf transformation 23]
150. ~strong(susan) [cnf transformation 24]
256. 23 <=> strong(susan) [avatar defi... | 0 |
Everyone who is either strong or not funny is rich. If john is either strong or not curious then paul is either not calm or not curious and vice versa. If alice is either brave or not creative then alice is both curious and not generous. Everyone who is strong is old or rich and vice versa. Everyone who is not brave or... | Mary is not generous. | neutral | (![X]:((strong(X)<~>~funny(X))=>rich(X)))&
(((strong(john)<~>~curious(john)))<=>((~calm(paul)<~>~curious(paul))))&
(((brave(alice)<~>~creative(alice)))=>((curious(alice)&~generous(alice))))&
(![X]:(strong(X)<=>(old(X)|rich(X))))&
(![X]:((~brave(X)|happy(X))=>(~kind(X)&funny(X))))&
(![X]:((~kind(X)&happy(X))=>(creative(... | ~generous(mary) | [] | null | 0 |
Everyone who is old is not funny or funny.
If john is old or not generous then mary is both old and brave and vice versa.
Everyone who is strong or not strong is tall and vice versa.
If someone is both not curious and wise then someone is not brave and vice versa.
Everyone who is humble is not tall or not kind and vice... | Mary is not patient. | entailment | (![X]:(old(X)=>(~funny(X)|funny(X))))&
(((old(john)|~generous(john)))<=>((old(mary)&brave(mary))))&
(![X]:((strong(X)|~strong(X))<=>tall(X)))&
((?[X]:((~curious(X)&wise(X))))<=>(?[X]:(~brave(X))))&
(![X]:(humble(X)<=>(~tall(X)|~kind(X))))&
(![X]:((strong(X)|~patient(X))<=>~strong(X)))&
(((~funny(paul)|~quiet(paul)))=>(... | ~patient(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4031827854943730405294809
% SZS output start Proof for 4031827854943730405294809
6. ! [X0] : ((~patient(X0) | strong(X0)) <=> ~strong(X0)) [input p5]
25. patient(mary) [input hypothesis]
50. ! [X0] : (((~patient(X0) | strong(X0)) | strong(X0)) & (~strong(X0) | (patient(X0) & ~strong(X0)))... | 0 |
Everyone who is not old is both curious and not old. If someone is not happy then paul is quiet or humble. If paul is generous then someone is either rich or not humble and vice versa. If john is not humble or not old then someone is old or generous. Everyone who is both not patient and not calm is calm or not creative... | Fred is not wise. | neutral | (![X]:(~old(X)=>(curious(X)&~old(X))))&
((?[X]:(~happy(X)))=>((quiet(paul)|humble(paul))))&
((generous(paul))<=>(?[X]:((rich(X)<~>~humble(X)))))&
(((~humble(john)|~old(john)))=>(?[X]:((old(X)|generous(X)))))&
(![X]:((~patient(X)&~calm(X))=>(calm(X)|~creative(X))))&
((?[X]:((strong(X)<~>funny(X))))<=>(?[X]:((happy(X)|~o... | ~wise(fred) | [] | null | 0 |
Everyone who is generous or humble is either not strong or not old.
If someone is funny then susan is both not happy and not strong.
Everyone who is quiet or not humble is not quiet.
If alice is not brave or not patient then someone is not curious and vice versa.
If someone is not kind then someone is quiet and vice ve... | Mary is wise. | neutral | (![X]:((generous(X)|humble(X))=>(~strong(X)<~>~old(X))))&
((?[X]:(funny(X)))=>((~happy(susan)&~strong(susan))))&
(![X]:((quiet(X)|~humble(X))=>~quiet(X)))&
(((~brave(alice)|~patient(alice)))<=>(?[X]:(~curious(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(quiet(X))))&
(((~funny(paul)&~wise(paul)))<=>((~old(mary)&kind(mary))))&
((?... | wise(mary) | [] | null | 0 |
Everyone who is either generous or not generous is both strong and curious and vice versa. If someone is both brave and not quiet then fred is both not generous and not humble. Everyone who is either not kind or not wise is both not creative and calm. Everyone who is both not calm and not quiet is both not happy and no... | Susan is not wise. | contradiction | (![X]:((generous(X)<~>~generous(X))<=>(strong(X)&curious(X))))&
((?[X]:((brave(X)&~quiet(X))))=>((~generous(fred)&~humble(fred))))&
(![X]:((~kind(X)<~>~wise(X))=>(~creative(X)&calm(X))))&
(![X]:((~calm(X)&~quiet(X))<=>(~happy(X)&~rich(X))))&
(![X]:(~happy(X)<=>(~funny(X)<~>~humble(X))))&
(![X]:((~tall(X)<~>~generous(X)... | ~wise(susan) | [
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 148957370872000859678758
% SZS output start Proof for 148957370872000859678758
6. ! [X0] : ((~tall(X0) <~> ~generous(X0)) <=> tall(X0)) [input p5]
15. ! [X0] : ((~wise(X0) | ~quiet(X0)) => (calm(X0) & generous(X0))) [input p14]
22. ~wise(susan) [input hypothesis]
33. ! [X0] : ((calm(X0) &... | 0 |
Everyone who is humble or creative is not old and vice versa.
Everyone who is not creative is brave.
Everyone who is not humble or not creative is both not kind and humble and vice versa.
Everyone who is either not tall or happy is both happy and rich and vice versa.
Everyone who is both not happy and generous is eithe... | Susan is kind. | entailment | (![X]:((humble(X)|creative(X))<=>~old(X)))&
(![X]:(~creative(X)=>brave(X)))&
(![X]:((~humble(X)|~creative(X))<=>(~kind(X)&humble(X))))&
(![X]:((~tall(X)<~>happy(X))<=>(happy(X)&rich(X))))&
(![X]:((~happy(X)&generous(X))<=>(~strong(X)<~>~calm(X))))&
(((generous(mary)<~>~old(mary)))<=>((humble(mary)&~quiet(mary))))&
((~c... | kind(susan) | [
"p2",
"p4",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1107022552469647984154316
% SZS output start Proof for 1107022552469647984154316
3. ! [X0] : ((~creative(X0) | ~humble(X0)) <=> (humble(X0) & ~kind(X0))) [input p2]
5. ! [X0] : ((generous(X0) & ~happy(X0)) <=> (~strong(X0) <~> ~calm(X0))) [input p4]
11. ! [X0] : ((~calm(X0) & quiet(X0)) <... | 0 |
If someone is both not generous and not tall then someone is either not strong or rich.
Everyone who is strong is both brave and not rich.
Everyone who is not rich or strong is not humble and vice versa.
Everyone who is patient is both not kind and generous.
Everyone who is both strong and not calm is either not wise o... | Alice is calm. | entailment | ((?[X]:((~generous(X)&~tall(X))))=>(?[X]:((~strong(X)<~>rich(X)))))&
(![X]:(strong(X)=>(brave(X)&~rich(X))))&
(![X]:((~rich(X)|strong(X))<=>~humble(X)))&
(![X]:(patient(X)=>(~kind(X)&generous(X))))&
(![X]:((strong(X)&~calm(X))=>(~wise(X)<~>~humble(X))))&
(![X]:((~brave(X)<~>~wise(X))=>(~patient(X)&~humble(X))))&
(![X]:... | calm(alice) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7566133256655031330143814
% SZS output start Proof for 7566133256655031330143814
8. ! [X0] : ((generous(X0) | ~patient(X0)) => (curious(X0) & ~quiet(X0))) [input p7]
10. ! [X0] : ((~patient(X0) | ~calm(X0)) <=> (curious(X0) | generous(X0))) [input p9]
13. ! [X0] : ((~wise(X0) | ~calm(X0))... | 0 |
If someone is either not old or not curious then john is both happy and not curious and vice versa. If someone is not curious or rich then someone is rich or wise. Everyone who is rich or creative is both happy and not strong and vice versa. If fred is both funny and not tall then someone is either brave or kind and vi... | Susan is not happy. | contradiction | ((?[X]:((~old(X)<~>~curious(X))))<=>((happy(john)&~curious(john))))&
((?[X]:((~curious(X)|rich(X))))=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((rich(X)|creative(X))<=>(happy(X)&~strong(X))))&
(((funny(fred)&~tall(fred)))<=>(?[X]:((brave(X)<~>kind(X)))))&
(![X]:((calm(X)&~happy(X))<=>~happy(X)))&
(((~old(susan)<~>old(susan))... | ~happy(susan) | [
"p2",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7895036240539014055964913
% SZS output start Proof for 7895036240539014055964913
3. ! [X0] : ((creative(X0) | rich(X0)) <=> (~strong(X0) & happy(X0))) [input p2]
5. ! [X0] : ((~happy(X0) & calm(X0)) <=> ~happy(X0)) [input p4]
16. ! [X0] : ((calm(X0) & ~curious(X0)) <=> (rich(X0) | curious... | 0 |
Everyone who is either old or funny is not old or old and vice versa.
Everyone who is either not funny or not curious is both not curious and not brave and vice versa.
Everyone who is both brave and not creative is both not creative and creative and vice versa.
If someone is either not old or rich then someone is eithe... | John is quiet. | contradiction | (![X]:((old(X)<~>funny(X))<=>(~old(X)|old(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(~curious(X)&~brave(X))))&
(![X]:((brave(X)&~creative(X))<=>(~creative(X)&creative(X))))&
((?[X]:((~old(X)<~>rich(X))))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((wise(alice)|~generous(alice)))=>((kind(john)<~>quiet(john))))&
(![X]:(patie... | quiet(john) | [
"p5",
"p7",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8688818516622621725734119
% SZS output start Proof for 8688818516622621725734119
6. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p5]
8. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (~strong(X0) | ~old(X0))) [input p7]
10. ! [X0] : ((~kind(X0) | strong(X0)) => (calm(X0) & old(X0))) [input p9... | 0 |
Everyone who is both not curious and wise is not wise or rich and vice versa.
Everyone who is either not quiet or not patient is not calm or not quiet and vice versa.
Everyone who is either not curious or not old is either generous or not happy and vice versa.
Everyone who is either curious or brave is creative or brav... | John is not creative. | neutral | (![X]:((~curious(X)&wise(X))<=>(~wise(X)|rich(X))))&
(![X]:((~quiet(X)<~>~patient(X))<=>(~calm(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~old(X))<=>(generous(X)<~>~happy(X))))&
(![X]:((curious(X)<~>brave(X))<=>(creative(X)|brave(X))))&
(![X]:((~kind(X)|old(X))=>(~brave(X)|~kind(X))))&
(![X]:((humble(X)&strong(X))<=>(creat... | ~creative(john) | [] | null | 0 |
If mary is brave then someone is not wise or humble and vice versa.
If alice is both patient and not curious then fred is not generous.
If someone is either calm or brave then fred is both not calm and tall.
If someone is both happy and not creative then fred is both not strong and not funny.
Everyone who is not rich o... | Mary is wise. | entailment | ((brave(mary))<=>(?[X]:((~wise(X)|humble(X)))))&
(((patient(alice)&~curious(alice)))=>(~generous(fred)))&
((?[X]:((calm(X)<~>brave(X))))=>((~calm(fred)&tall(fred))))&
((?[X]:((happy(X)&~creative(X))))=>((~strong(fred)&~funny(fred))))&
(![X]:((~rich(X)|quiet(X))<=>~brave(X)))&
(![X]:(~kind(X)<=>~curious(X)))&
(((~old(su... | wise(mary) | [
"p0",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4575911148043963707917148
% SZS output start Proof for 4575911148043963707917148
1. brave(mary) <=> ? [X0] : (humble(X0) | ~wise(X0)) [input p0]
8. ! [X0] : ((~calm(X0) | ~rich(X0)) => (~brave(X0) & strong(X0))) [input p7]
24. ~wise(mary) <~> calm(mary) [input p23]
25. ~wise(mary) [input ... | 0 |
If john is either curious or quiet then lucy is either strong or calm and vice versa. Everyone who is either not quiet or old is both quiet and generous and vice versa. Everyone who is both generous and old is generous or humble. Everyone who is not funny is creative or not brave and vice versa. If alice is either curi... | Paul is not generous. | entailment | (((curious(john)<~>quiet(john)))<=>((strong(lucy)<~>calm(lucy))))&
(![X]:((~quiet(X)<~>old(X))<=>(quiet(X)&generous(X))))&
(![X]:((generous(X)&old(X))=>(generous(X)|humble(X))))&
(![X]:(~funny(X)<=>(creative(X)|~brave(X))))&
(((curious(alice)<~>~tall(alice)))<=>(~wise(lucy)))&
(((~kind(fred)|~happy(fred)))<=>((kind(mar... | ~generous(paul) | [
"p1",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5438997555867764216219999
% SZS output start Proof for 5438997555867764216219999
2. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (generous(X0) & quiet(X0))) [input p1]
7. ! [X0] : ((tall(X0) | brave(X0)) <=> (kind(X0) & ~tall(X0))) [input p6]
9. ! [X0] : ((~tall(X0) <~> ~generous(X0)) <=> (~old... | 0 |
If susan is not tall or not creative then fred is either not humble or humble and vice versa.
Everyone who is both not curious and tall is not strong or kind and vice versa.
Everyone who is not funny or generous is both kind and not curious.
If someone is not patient or not happy then someone is tall or brave and vice ... | Mary is not calm. | entailment | (((~tall(susan)|~creative(susan)))<=>((~humble(fred)<~>humble(fred))))&
(![X]:((~curious(X)&tall(X))<=>(~strong(X)|kind(X))))&
(![X]:((~funny(X)|generous(X))=>(kind(X)&~curious(X))))&
((?[X]:((~patient(X)|~happy(X))))<=>(?[X]:((tall(X)|brave(X)))))&
((?[X]:((old(X)<~>quiet(X))))<=>((brave(alice)|generous(alice))))&
(![... | ~calm(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8917010924029910439813066
% SZS output start Proof for 8917010924029910439813066
16. ! [X0] : (calm(X0) <=> (~calm(X0) & ~generous(X0))) [input p15]
23. calm(mary) [input hypothesis]
66. ! [X0] : ((calm(X0) | (calm(X0) | generous(X0))) & ((~calm(X0) & ~generous(X0)) | ~calm(X0))) [nnf tra... | 0 |
Everyone who is either kind or not happy is old and vice versa.
Everyone who is not kind or brave is either not strong or not brave.
Everyone who is not calm is both not calm and wise.
Everyone who is kind or not happy is either not calm or brave and vice versa.
Everyone who is calm or wise is both strong and not rich.... | Fred is not rich. | entailment | (![X]:((kind(X)<~>~happy(X))<=>old(X)))&
(![X]:((~kind(X)|brave(X))=>(~strong(X)<~>~brave(X))))&
(![X]:(~calm(X)=>(~calm(X)&wise(X))))&
(![X]:((kind(X)|~happy(X))<=>(~calm(X)<~>brave(X))))&
(![X]:((calm(X)|wise(X))=>(strong(X)&~rich(X))))&
(![X]:(funny(X)=>tall(X)))&
(((~quiet(john)<~>wise(john)))=>((~generous(alice)<~... | ~rich(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7182024333905188052214493
% SZS output start Proof for 7182024333905188052214493
3. ! [X0] : (~calm(X0) => (wise(X0) & ~calm(X0))) [input p2]
5. ! [X0] : ((wise(X0) | calm(X0)) => (~rich(X0) & strong(X0))) [input p4]
24. rich(fred) [input hypothesis]
26. ! [X0] : ((wise(X0) & ~calm(X0)) |... | 0 |
Everyone who is either not patient or not calm is both creative and generous and vice versa.
Everyone who is either funny or tall is both creative and not brave and vice versa.
If someone is not kind then someone is both not wise and not tall.
Everyone who is either generous or rich is either not tall or tall and vice ... | Susan is rich. | entailment | (![X]:((~patient(X)<~>~calm(X))<=>(creative(X)&generous(X))))&
(![X]:((funny(X)<~>tall(X))<=>(creative(X)&~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~wise(X)&~tall(X)))))&
(![X]:((generous(X)<~>rich(X))<=>(~tall(X)<~>tall(X))))&
(((~curious(lucy)&strong(lucy)))<=>(quiet(fred)))&
(![X]:(tall(X)=>(~patient(X)&~humble(X)))... | rich(susan) | [
"p3",
"p5",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7346644534287886324434531
% SZS output start Proof for 7346644534287886324434531
4. ! [X0] : ((generous(X0) <~> rich(X0)) <=> (~tall(X0) <~> tall(X0))) [input p3]
6. ! [X0] : (tall(X0) => (~humble(X0) & ~patient(X0))) [input p5]
13. ! [X0] : ((tall(X0) & ~rich(X0)) <=> quiet(X0)) [input p... | 0 |
Everyone who is either funny or old is either kind or tall and vice versa.
Everyone who is both not rich and brave is either patient or creative and vice versa.
If paul is not strong or not generous then susan is not creative.
If alice is either tall or not humble then susan is patient and vice versa.
Everyone who is n... | Paul is old. | contradiction | (![X]:((funny(X)<~>old(X))<=>(kind(X)<~>tall(X))))&
(![X]:((~rich(X)&brave(X))<=>(patient(X)<~>creative(X))))&
(((~strong(paul)|~generous(paul)))=>(~creative(susan)))&
(((tall(alice)<~>~humble(alice)))<=>(patient(susan)))&
(![X]:(~creative(X)=>quiet(X)))&
(((~calm(fred)|~curious(fred)))=>((~generous(john)|patient(john)... | old(paul) | [
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6565776624862980950876932
% SZS output start Proof for 6565776624862980950876932
8. ! [X0] : ((~humble(X0) <~> ~generous(X0)) <=> (wise(X0) & ~creative(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) | ~strong(X0)) <=> ~humble(X0)) [input p9]
11. ! [X0] : ((~happy(X0) | ~generous(X0)) => ~old(... | 0 |
Everyone who is both creative and kind is curious or old.
If someone is either generous or not strong then susan is either creative or patient.
If paul is both not quiet and funny then fred is not wise and vice versa.
Everyone who is either old or not brave is not kind or not strong.
Everyone who is strong is not humbl... | Paul is not happy. | contradiction | (![X]:((creative(X)&kind(X))=>(curious(X)|old(X))))&
((?[X]:((generous(X)<~>~strong(X))))=>((creative(susan)<~>patient(susan))))&
(((~quiet(paul)&funny(paul)))<=>(~wise(fred)))&
(![X]:((old(X)<~>~brave(X))=>(~kind(X)|~strong(X))))&
(![X]:(strong(X)<=>~humble(X)))&
(![X]:((wise(X)|calm(X))<=>(~rich(X)<~>~humble(X))))&
(... | ~happy(paul) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5162380212595698689148645
% SZS output start Proof for 5162380212595698689148645
9. ! [X0] : ((brave(X0) | ~happy(X0)) <=> (strong(X0) & humble(X0))) [input p8]
14. ! [X0] : ((~happy(X0) | ~kind(X0)) => ~strong(X0)) [input p13]
23. ~happy(paul) [input hypothesis]
33. ! [X0] : (~strong(X0)... | 0 |
If someone is not creative then someone is both not strong and not wise and vice versa.
Everyone who is both strong and not creative is both not brave and not rich and vice versa.
If someone is both not wise and not kind then mary is not quiet or not wise and vice versa.
Everyone who is not tall is funny and vice versa... | Susan is not wise. | contradiction | ((?[X]:(~creative(X)))<=>(?[X]:((~strong(X)&~wise(X)))))&
(![X]:((strong(X)&~creative(X))<=>(~brave(X)&~rich(X))))&
((?[X]:((~wise(X)&~kind(X))))<=>((~quiet(mary)|~wise(mary))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((curious(X)|~kind(X))=>(tall(X)&~brave(X))))&
(((~brave(lucy)|funny(lucy)))=>((~strong(paul)<~>brave(pau... | ~wise(susan) | [
"p3",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5585495199675740339821580
% SZS output start Proof for 5585495199675740339821580
4. ! [X0] : (~tall(X0) <=> funny(X0)) [input p3]
8. ! [X0] : (tall(X0) <=> (old(X0) & ~tall(X0))) [input p7]
9. ! [X0] : (wise(X0) <=> ~calm(X0)) [input p8]
11. ! [X0] : (calm(X0) => ~funny(X0)) [input p10]
2... | 0 |
If someone is creative or not patient then someone is both funny and not quiet and vice versa.
Everyone who is either funny or wise is either kind or tall.
Everyone who is not old is not happy.
If someone is not humble or not quiet then someone is not brave.
Everyone who is wise or patient is strong.
If susan is not st... | Fred is patient. | contradiction | ((?[X]:((creative(X)|~patient(X))))<=>(?[X]:((funny(X)&~quiet(X)))))&
(![X]:((funny(X)<~>wise(X))=>(kind(X)<~>tall(X))))&
(![X]:(~old(X)=>~happy(X)))&
((?[X]:((~humble(X)|~quiet(X))))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)|patient(X))=>strong(X)))&
((~strong(susan))=>(happy(john)))&
(![X]:(patient(X)=>(~creative(X)<~>hu... | patient(fred) | [
"p2",
"p4",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6473142949924506389788071
% SZS output start Proof for 6473142949924506389788071
3. ! [X0] : (~old(X0) => ~happy(X0)) [input p2]
5. ! [X0] : ((patient(X0) | wise(X0)) => strong(X0)) [input p4]
10. ! [X0] : ((~calm(X0) | old(X0)) => (~strong(X0) <~> happy(X0))) [input p9]
11. ! [X0] : (~pa... | 0 |
If someone is not funny or humble then someone is both kind and not wise. Everyone who is humble is funny or humble and vice versa. Everyone who is old or not wise is quiet or not quiet and vice versa. If susan is either not tall or not brave then alice is either tall or not funny and vice versa. Everyone who is happy ... | John is creative. | contradiction | ((?[X]:((~funny(X)|humble(X))))=>(?[X]:((kind(X)&~wise(X)))))&
(![X]:(humble(X)<=>(funny(X)|humble(X))))&
(![X]:((old(X)|~wise(X))<=>(quiet(X)|~quiet(X))))&
(((~tall(susan)<~>~brave(susan)))<=>((tall(alice)<~>~funny(alice))))&
(![X]:((happy(X)|strong(X))<=>(strong(X)&humble(X))))&
(![X]:((~patient(X)|tall(X))=>funny(X)... | creative(john) | [
"p5",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 720822769629390952974165
% SZS output start Proof for 720822769629390952974165
6. ! [X0] : ((tall(X0) | ~patient(X0)) => funny(X0)) [input p5]
9. ? [X0] : (creative(X0) | quiet(X0)) => ? [X0] : (~brave(X0) & ~funny(X0)) [input p8]
12. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> ~happy(X0)) [inp... | 0 |
Everyone who is kind is both not tall and tall. If lucy is calm then paul is not generous. Everyone who is either not curious or rich is calm. Everyone who is rich is either not creative or not funny. If someone is either not brave or quiet then someone is curious. Everyone who is not wise or not patient is both funny ... | Paul is not humble. | contradiction | (![X]:(kind(X)=>(~tall(X)&tall(X))))&
((calm(lucy))=>(~generous(paul)))&
(![X]:((~curious(X)<~>rich(X))=>calm(X)))&
(![X]:(rich(X)=>(~creative(X)<~>~funny(X))))&
((?[X]:((~brave(X)<~>quiet(X))))=>(?[X]:(curious(X))))&
(![X]:((~wise(X)|~patient(X))<=>(funny(X)&~funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((rich(X)|curious(X)... | ~humble(paul) | [
"p0",
"p2",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7180430506538439439301892
% SZS output start Proof for 7180430506538439439301892
1. ! [X0] : (kind(X0) => (tall(X0) & ~tall(X0))) [input p0]
3. ! [X0] : ((~curious(X0) <~> rich(X0)) => calm(X0)) [input p2]
7. ? [X0] : kind(X0) <=> ? [X0] : (curious(X0) | rich(X0)) [input p6]
9. (~calm(joh... | 0 |
If someone is not funny or not calm then paul is either not kind or funny. If fred is not brave then paul is not generous or tall. Everyone who is kind is both rich and not creative. Everyone who is generous or not rich is either patient or not happy and vice versa. If someone is both not brave and humble then someone ... | Fred is not patient. | contradiction | ((?[X]:((~funny(X)|~calm(X))))=>((~kind(paul)<~>funny(paul))))&
((~brave(fred))=>((~generous(paul)|tall(paul))))&
(![X]:(kind(X)=>(rich(X)&~creative(X))))&
(![X]:((generous(X)|~rich(X))<=>(patient(X)<~>~happy(X))))&
((?[X]:((~brave(X)&humble(X))))<=>(?[X]:((~kind(X)<~>~strong(X)))))&
(![X]:((~calm(X)|~kind(X))<=>(stron... | ~patient(fred) | [
"p2",
"p3",
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5722418256688308780712569
% SZS output start Proof for 5722418256688308780712569
3. ! [X0] : (kind(X0) => (~creative(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~rich(X0) | generous(X0)) <=> (patient(X0) <~> ~happy(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> (~curious(X0) & st... | 0 |
If someone is old then paul is tall or not calm.
If john is quiet or not generous then alice is creative.
If fred is funny or not kind then someone is rich or quiet and vice versa.
Everyone who is tall or not tall is not funny and vice versa.
If someone is not patient then someone is not generous and vice versa.
Everyo... | Susan is rich. | neutral | ((?[X]:(old(X)))=>((tall(paul)|~calm(paul))))&
(((quiet(john)|~generous(john)))=>(creative(alice)))&
(((funny(fred)|~kind(fred)))<=>(?[X]:((rich(X)|quiet(X)))))&
(![X]:((tall(X)|~tall(X))<=>~funny(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(~generous(X))))&
(![X]:((~kind(X)&~patient(X))<=>(~wise(X)|~happy(X))))&
(((quiet(alic... | rich(susan) | [] | null | 0 |
Everyone who is both calm and quiet is both not happy and curious and vice versa. Everyone who is not wise is quiet and vice versa. If someone is not rich or not quiet then susan is both not patient and not generous. If paul is not quiet then someone is old and vice versa. If paul is both not humble and old then john i... | Paul is not humble. | neutral | (![X]:((calm(X)&quiet(X))<=>(~happy(X)&curious(X))))&
(![X]:(~wise(X)<=>quiet(X)))&
((?[X]:((~rich(X)|~quiet(X))))=>((~patient(susan)&~generous(susan))))&
((~quiet(paul))<=>(?[X]:(old(X))))&
(((~humble(paul)&old(paul)))=>((wise(john)|~patient(john))))&
((~tall(fred))<=>(humble(paul)))&
(((tall(mary)|~creative(mary)))=>... | ~humble(paul) | [] | null | 0 |
If someone is either brave or patient then susan is not patient and vice versa.
Everyone who is either not strong or not patient is both rich and curious and vice versa.
Everyone who is both strong and not kind is funny and vice versa.
Everyone who is not curious is either not brave or not rich and vice versa.
Everyone... | Susan is not curious. | neutral | ((?[X]:((brave(X)<~>patient(X))))<=>(~patient(susan)))&
(![X]:((~strong(X)<~>~patient(X))<=>(rich(X)&curious(X))))&
(![X]:((strong(X)&~kind(X))<=>funny(X)))&
(![X]:(~curious(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((humble(X)&brave(X))=>(generous(X)&kind(X))))&
(![X]:((~funny(X)&generous(X))=>(wise(X)<~>~curious(X))))&
((... | ~curious(susan) | [] | null | 0 |
Everyone who is not happy is either rich or not curious and vice versa. Everyone who is either brave or funny is not kind. Everyone who is not funny or generous is both not happy and happy and vice versa. Everyone who is quiet or wise is rich or not curious and vice versa. Everyone who is quiet is either quiet or happy... | John is not rich. | contradiction | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)&happy(X))))&
(![X]:((quiet(X)|wise(X))<=>(rich(X)|~curious(X))))&
(![X]:(quiet(X)<=>(quiet(X)<~>happy(X))))&
(![X]:(brave(X)=>(happy(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curio... | ~rich(john) | [
"p0",
"p4",
"p7",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3279151519511320577670316
% SZS output start Proof for 3279151519511320577670316
1. ! [X0] : (~happy(X0) <=> (rich(X0) <~> ~curious(X0))) [input p0]
5. ! [X0] : (quiet(X0) <=> (quiet(X0) <~> happy(X0))) [input p4]
8. ! [X0] : ((creative(X0) <~> ~rich(X0)) => curious(X0)) [input p7]
10. ? ... | 0 |
Everyone who is wise or not humble is both not brave and quiet and vice versa.
If paul is curious or not brave then alice is not kind or not humble.
If someone is both not calm and rich then someone is either patient or wise.
If susan is not wise then fred is not humble or funny and vice versa.
If lucy is both curious ... | Paul is tall. | entailment | (![X]:((wise(X)|~humble(X))<=>(~brave(X)&quiet(X))))&
(((curious(paul)|~brave(paul)))=>((~kind(alice)|~humble(alice))))&
((?[X]:((~calm(X)&rich(X))))=>(?[X]:((patient(X)<~>wise(X)))))&
((~wise(susan))<=>((~humble(fred)|funny(fred))))&
(((curious(lucy)&old(lucy)))<=>(?[X]:((~brave(X)|~funny(X)))))&
((~calm(susan))<=>((~... | tall(paul) | [
"p0",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6796361773747210753954034
% SZS output start Proof for 6796361773747210753954034
1. ! [X0] : ((~humble(X0) | wise(X0)) <=> (quiet(X0) & ~brave(X0))) [input p0]
8. ! [X0] : (~tall(X0) => ~calm(X0)) [input p7]
11. ! [X0] : ((creative(X0) | ~wise(X0)) => (patient(X0) & humble(X0))) [input p1... | 0 |
Everyone who is both happy and creative is not rich or strong and vice versa. If fred is not strong then fred is both happy and not brave. Everyone who is either not wise or not humble is not happy. Everyone who is not kind or not curious is either not generous or not kind. Everyone who is not happy or creative is eith... | Mary is not curious. | entailment | (![X]:((happy(X)&creative(X))<=>(~rich(X)|strong(X))))&
((~strong(fred))=>((happy(fred)&~brave(fred))))&
(![X]:((~wise(X)<~>~humble(X))=>~happy(X)))&
(![X]:((~kind(X)|~curious(X))=>(~generous(X)<~>~kind(X))))&
(![X]:((~happy(X)|creative(X))=>(~strong(X)<~>curious(X))))&
(![X]:(~curious(X)=>(humble(X)&rich(X))))&
(((tal... | ~curious(mary) | [
"p0",
"p4",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7593377431452282353828851
% SZS output start Proof for 7593377431452282353828851
1. ! [X0] : ((creative(X0) & happy(X0)) <=> (strong(X0) | ~rich(X0))) [input p0]
5. ! [X0] : ((creative(X0) | ~happy(X0)) => (~strong(X0) <~> curious(X0))) [input p4]
13. ! [X0] : (creative(X0) <=> rich(X0)) ... | 0 |
Everyone who is patient or generous is either brave or not rich and vice versa. If john is funny or not old then someone is not tall and vice versa. If someone is both funny and not wise then someone is either kind or quiet. Everyone who is not funny or generous is not creative and vice versa. Everyone who is old or no... | Susan is generous. | entailment | (![X]:((patient(X)|generous(X))<=>(brave(X)<~>~rich(X))))&
(((funny(john)|~old(john)))<=>(?[X]:(~tall(X))))&
((?[X]:((funny(X)&~wise(X))))=>(?[X]:((kind(X)<~>quiet(X)))))&
(![X]:((~funny(X)|generous(X))<=>~creative(X)))&
(![X]:((old(X)|~humble(X))=>(strong(X)<~>brave(X))))&
(((curious(paul)<~>calm(paul)))<=>(?[X]:((pat... | generous(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 252114141346491182658714
% SZS output start Proof for 252114141346491182658714
22. generous(susan) & ~patient(susan) [input p21]
25. ~generous(susan) [input hypothesis]
160. generous(susan) [cnf transformation 22]
164. ~generous(susan) [cnf transformation 25]
276. 24 <=> generous(susan) [... | 0 |
Everyone who is creative is tall or not generous and vice versa.
Everyone who is not humble or not old is not calm or not strong.
If alice is either not strong or old then someone is both not funny and not wise and vice versa.
Everyone who is not kind or not wise is not tall or not old and vice versa.
Everyone who is b... | Susan is tall. | contradiction | (![X]:(creative(X)<=>(tall(X)|~generous(X))))&
(![X]:((~humble(X)|~old(X))=>(~calm(X)|~strong(X))))&
(((~strong(alice)<~>old(alice)))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:((~kind(X)|~wise(X))<=>(~tall(X)|~old(X))))&
(![X]:((humble(X)&generous(X))<=>(~generous(X)|creative(X))))&
(![X]:((old(X)<~>creative(X))=>(~gener... | tall(susan) | [
"p0",
"p3",
"p4",
"p5",
"p9",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5780951732842752872151324
% SZS output start Proof for 5780951732842752872151324
1. ! [X0] : (creative(X0) <=> (~generous(X0) | tall(X0))) [input p0]
4. ! [X0] : ((~wise(X0) | ~kind(X0)) <=> (~old(X0) | ~tall(X0))) [input p3]
5. ! [X0] : ((generous(X0) & humble(X0)) <=> (creative(X0) | ~g... | 0 |
Everyone who is curious or generous is both tall and not curious and vice versa.
If susan is not happy then someone is either happy or creative.
Everyone who is strong is either not creative or not happy and vice versa.
If someone is kind then someone is calm and vice versa.
Everyone who is either quiet or old is not r... | Lucy is strong. | neutral | (![X]:((curious(X)|generous(X))<=>(tall(X)&~curious(X))))&
((~happy(susan))=>(?[X]:((happy(X)<~>creative(X)))))&
(![X]:(strong(X)<=>(~creative(X)<~>~happy(X))))&
((?[X]:(kind(X)))<=>(?[X]:(calm(X))))&
(![X]:((quiet(X)<~>old(X))<=>~rich(X)))&
((?[X]:((~old(X)&happy(X))))=>(?[X]:((~old(X)|old(X)))))&
((?[X]:(~old(X)))<=>... | strong(lucy) | [] | null | 0 |
Everyone who is happy or not humble is brave and vice versa.
If fred is not curious or kind then someone is either not rich or not quiet and vice versa.
Everyone who is both not humble and humble is either not humble or funny.
If john is both not curious and brave then someone is either old or curious and vice versa.
I... | Mary is happy. | contradiction | (![X]:((happy(X)|~humble(X))<=>brave(X)))&
(((~curious(fred)|kind(fred)))<=>(?[X]:((~rich(X)<~>~quiet(X)))))&
(![X]:((~humble(X)&humble(X))=>(~humble(X)<~>funny(X))))&
(((~curious(john)&brave(john)))<=>(?[X]:((old(X)<~>curious(X)))))&
((~curious(fred))<=>(?[X]:(strong(X))))&
((?[X]:((quiet(X)&creative(X))))<=>(?[X]:((c... | happy(mary) | [
"p0",
"p6",
"p10",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3342540948511582744526644
% SZS output start Proof for 3342540948511582744526644
1. ! [X0] : ((~humble(X0) | happy(X0)) <=> brave(X0)) [input p0]
7. ? [X0] : (calm(X0) <~> ~kind(X0)) => (~happy(mary) | ~brave(mary)) [input p6]
11. ! [X0] : ((~quiet(X0) | ~wise(X0)) => ~brave(X0)) [input p... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.