premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not kind and funny is rich.
If alice is either quiet or not old then mary is generous.
Everyone who is humble is either tall or not brave.
If mary is both kind and patient then john is brave or not wise.
If someone is wise then mary is both rich and old.
If someone is curious or not tall then lucy ... | Mary is not rich. | contradiction | (![X]:((~kind(X)&funny(X))=>rich(X)))&
(((quiet(alice)<~>~old(alice)))=>(generous(mary)))&
(![X]:(humble(X)=>(tall(X)<~>~brave(X))))&
(((kind(mary)&patient(mary)))=>((brave(john)|~wise(john))))&
((?[X]:(wise(X)))=>((rich(mary)&old(mary))))&
((?[X]:((curious(X)|~tall(X))))<=>((tall(lucy)<~>~rich(lucy))))&
((~wise(susan)... | ~rich(mary) | [
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7545819959731686444143896
% SZS output start Proof for 7545819959731686444143896
5. ? [X0] : wise(X0) => (old(mary) & rich(mary)) [input p4]
23. ? [X0] : wise(X0) [input p22]
25. ~rich(mary) [input hypothesis]
31. (old(mary) & rich(mary)) | ! [X0] : ~wise(X0) [ennf transformation 5]
72. ?... | 0 |
Everyone who is either old or generous is either strong or not tall.
Everyone who is both calm and not tall is not strong.
If lucy is patient then mary is not patient or not kind.
Everyone who is not rich or humble is either not quiet or old.
Everyone who is either patient or not wise is humble or not curious and vice ... | Paul is not funny. | neutral | (![X]:((old(X)<~>generous(X))=>(strong(X)<~>~tall(X))))&
(![X]:((calm(X)&~tall(X))=>~strong(X)))&
((patient(lucy))=>((~patient(mary)|~kind(mary))))&
(![X]:((~rich(X)|humble(X))=>(~quiet(X)<~>old(X))))&
(![X]:((patient(X)<~>~wise(X))<=>(humble(X)|~curious(X))))&
((?[X]:((tall(X)|~old(X))))=>((strong(susan)&~brave(susan)... | ~funny(paul) | [] | null | 0 |
If mary is either not humble or wise then john is either humble or strong and vice versa. Everyone who is funny or kind is kind and vice versa. If someone is either happy or not old then someone is either not old or not brave and vice versa. Everyone who is both not rich and tall is both kind and not quiet. Everyone wh... | Susan is not generous. | neutral | (((~humble(mary)<~>wise(mary)))<=>((humble(john)<~>strong(john))))&
(![X]:((funny(X)|kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>(curious(X)<~>creative(X))))&
(![X]:((rich(X)<~>~happy(X))=>(~old(X)<... | ~generous(susan) | [] | null | 0 |
If someone is not brave then mary is either not strong or not wise and vice versa.
Everyone who is either calm or not strong is both old and creative.
Everyone who is not strong or quiet is both quiet and old.
If someone is not rich then lucy is both tall and not kind.
Everyone who is not rich or not quiet is both not ... | Fred is curious. | neutral | ((?[X]:(~brave(X)))<=>((~strong(mary)<~>~wise(mary))))&
(![X]:((calm(X)<~>~strong(X))=>(old(X)&creative(X))))&
(![X]:((~strong(X)|quiet(X))=>(quiet(X)&old(X))))&
((?[X]:(~rich(X)))=>((tall(lucy)&~kind(lucy))))&
(![X]:((~rich(X)|~quiet(X))<=>(~tall(X)&kind(X))))&
(![X]:((~wise(X)&~curious(X))<=>~happy(X)))&
(![X]:((crea... | curious(fred) | [] | null | 0 |
Everyone who is both funny and patient is not old or not happy and vice versa.
Everyone who is not happy is both not funny and not creative and vice versa.
If someone is not creative or patient then someone is either brave or not patient.
If susan is creative then someone is not tall or wise and vice versa.
Everyone wh... | Lucy is tall. | entailment | (![X]:((funny(X)&patient(X))<=>(~old(X)|~happy(X))))&
(![X]:(~happy(X)<=>(~funny(X)&~creative(X))))&
((?[X]:((~creative(X)|patient(X))))=>(?[X]:((brave(X)<~>~patient(X)))))&
((creative(susan))<=>(?[X]:((~tall(X)|wise(X)))))&
(![X]:(patient(X)=>(~funny(X)<~>~strong(X))))&
(![X]:(patient(X)<=>(~funny(X)<~>kind(X))))&
((?... | tall(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7137386134821308992464504
% SZS output start Proof for 7137386134821308992464504
19. ~brave(lucy) & tall(lucy) [input p18]
25. ~tall(lucy) [input hypothesis]
131. tall(lucy) [cnf transformation 19]
140. ~tall(lucy) [cnf transformation 25]
292. $false [subsumption resolution 140,131]
% SZS... | 0 |
Everyone who is both humble and brave is not creative and vice versa.
Everyone who is either brave or humble is rich.
Everyone who is not happy or not old is either not curious or brave.
Everyone who is both not generous and calm is humble and vice versa.
If someone is either patient or not patient then susan is not qu... | Susan is quiet. | entailment | (![X]:((humble(X)&brave(X))<=>~creative(X)))&
(![X]:((brave(X)<~>humble(X))=>rich(X)))&
(![X]:((~happy(X)|~old(X))=>(~curious(X)<~>brave(X))))&
(![X]:((~generous(X)&calm(X))<=>humble(X)))&
((?[X]:((patient(X)<~>~patient(X))))=>((~quiet(susan)|~old(susan))))&
(![X]:((calm(X)|rich(X))=>(~rich(X)<~>~brave(X))))&
(![X]:((~... | quiet(susan) | [
"p1",
"p3",
"p5",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3558303494673074273218538
% SZS output start Proof for 3558303494673074273218538
2. ! [X0] : ((brave(X0) <~> humble(X0)) => rich(X0)) [input p1]
4. ! [X0] : ((calm(X0) & ~generous(X0)) <=> humble(X0)) [input p3]
6. ! [X0] : ((rich(X0) | calm(X0)) => (~rich(X0) <~> ~brave(X0))) [input p5]
... | 0 |
Everyone who is both not old and strong is either tall or wise.
Everyone who is curious is either quiet or happy.
If someone is either not rich or humble then someone is not generous or humble and vice versa.
Everyone who is either brave or not funny is old or generous.
Everyone who is both strong and not patient is ta... | Mary is strong. | entailment | (![X]:((~old(X)&strong(X))=>(tall(X)<~>wise(X))))&
(![X]:(curious(X)=>(quiet(X)<~>happy(X))))&
((?[X]:((~rich(X)<~>humble(X))))<=>(?[X]:((~generous(X)|humble(X)))))&
(![X]:((brave(X)<~>~funny(X))=>(old(X)|generous(X))))&
(![X]:((strong(X)&~patient(X))=>tall(X)))&
((?[X]:((kind(X)<~>~old(X))))<=>(?[X]:((~patient(X)<~>~k... | strong(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8006009195344009375345819
% SZS output start Proof for 8006009195344009375345819
22. ~patient(mary) & strong(mary) [input p21]
23. ~strong(mary) [input hypothesis]
142. strong(mary) [cnf transformation 22]
144. ~strong(mary) [cnf transformation 23]
322. $false [subsumption resolution 144,... | 0 |
If someone is either brave or humble then lucy is strong.
Everyone who is brave or happy is happy.
If fred is not kind or not wise then someone is not strong or kind and vice versa.
If someone is brave or not rich then someone is rich or not quiet and vice versa.
If mary is either patient or not kind then someone is no... | Lucy is happy. | entailment | ((?[X]:((brave(X)<~>humble(X))))=>(strong(lucy)))&
(![X]:((brave(X)|happy(X))=>happy(X)))&
(((~kind(fred)|~wise(fred)))<=>(?[X]:((~strong(X)|kind(X)))))&
((?[X]:((brave(X)|~rich(X))))<=>(?[X]:((rich(X)|~quiet(X)))))&
(((patient(mary)<~>~kind(mary)))<=>(?[X]:((~calm(X)|~kind(X)))))&
(((~curious(john)|~calm(john)))=>((~c... | happy(lucy) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5956375370363535018934900
% SZS output start Proof for 5956375370363535018934900
2. ! [X0] : ((happy(X0) | brave(X0)) => happy(X0)) [input p1]
12. ! [X0] : ((brave(X0) & ~brave(X0)) <=> (~tall(X0) | ~brave(X0))) [input p11]
24. ~happy(lucy) [input hypothesis]
29. ! [X0] : (happy(X0) | (~h... | 0 |
If someone is both calm and not wise then alice is not quiet or happy.
If someone is both not quiet and wise then lucy is both tall and not calm and vice versa.
Everyone who is tall is both kind and old.
Everyone who is humble or not rich is both not brave and not rich and vice versa.
If someone is either not old or ta... | John is humble. | contradiction | ((?[X]:((calm(X)&~wise(X))))=>((~quiet(alice)|happy(alice))))&
((?[X]:((~quiet(X)&wise(X))))<=>((tall(lucy)&~calm(lucy))))&
(![X]:(tall(X)=>(kind(X)&old(X))))&
(![X]:((humble(X)|~rich(X))<=>(~brave(X)&~rich(X))))&
((?[X]:((~old(X)<~>tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((~patient(X)|creative(X))<=>(strong... | humble(john) | [
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7897881324479955958766629
% SZS output start Proof for 7897881324479955958766629
4. ! [X0] : ((~rich(X0) | humble(X0)) <=> (~rich(X0) & ~brave(X0))) [input p3]
9. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> ~kind(X0)) [input p8]
14. ? [X0] : (~tall(X0) | ~brave(X0)) => ? [X0] : (~kind(X0) & ~g... | 0 |
Everyone who is not wise or creative is either generous or old and vice versa. Everyone who is strong or wise is either not brave or quiet and vice versa. Everyone who is kind or happy is not strong. Everyone who is not strong is both wise and not kind and vice versa. Everyone who is both brave and patient is not curio... | Lucy is not kind. | entailment | (![X]:((~wise(X)|creative(X))<=>(generous(X)<~>old(X))))&
(![X]:((strong(X)|wise(X))<=>(~brave(X)<~>quiet(X))))&
(![X]:((kind(X)|happy(X))=>~strong(X)))&
(![X]:(~strong(X)<=>(wise(X)&~kind(X))))&
(![X]:((brave(X)&patient(X))<=>~curious(X)))&
((?[X]:((kind(X)&rich(X))))=>((~patient(mary)&happy(mary))))&
(![X]:(funny(X)<... | ~kind(lucy) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 362674169949566021959437
% SZS output start Proof for 362674169949566021959437
3. ! [X0] : ((happy(X0) | kind(X0)) => ~strong(X0)) [input p2]
4. ! [X0] : (~strong(X0) <=> (~kind(X0) & wise(X0))) [input p3]
24. kind(lucy) [input hypothesis]
26. ! [X0] : (~strong(X0) | (~happy(X0) & ~kind(X... | 0 |
If alice is not generous or strong then someone is either quiet or not old.
Everyone who is either not strong or not humble is old or kind.
Everyone who is both not happy and not calm is not tall.
Everyone who is both generous and not strong is either curious or tall and vice versa.
If susan is not kind then someone is... | Alice is not old. | neutral | (((~generous(alice)|strong(alice)))=>(?[X]:((quiet(X)<~>~old(X)))))&
(![X]:((~strong(X)<~>~humble(X))=>(old(X)|kind(X))))&
(![X]:((~happy(X)&~calm(X))=>~tall(X)))&
(![X]:((generous(X)&~strong(X))<=>(curious(X)<~>tall(X))))&
((~kind(susan))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:((creative(X)&rich(X))<=>~creative(X)))... | ~old(alice) | [] | null | 0 |
If mary is not wise or rich then someone is both wise and not tall.
If someone is humble then susan is either not wise or patient and vice versa.
Everyone who is calm or not humble is either not funny or old.
Everyone who is not patient or not brave is creative.
If someone is not quiet or not brave then alice is either... | Mary is strong. | entailment | (((~wise(mary)|rich(mary)))=>(?[X]:((wise(X)&~tall(X)))))&
((?[X]:(humble(X)))<=>((~wise(susan)<~>patient(susan))))&
(![X]:((calm(X)|~humble(X))=>(~funny(X)<~>old(X))))&
(![X]:((~patient(X)|~brave(X))=>creative(X)))&
((?[X]:((~quiet(X)|~brave(X))))=>((~happy(alice)<~>creative(alice))))&
((~tall(mary))=>(?[X]:((~calm(X)... | strong(mary) | [
"p3",
"p7",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2784577221653720639207813
% SZS output start Proof for 2784577221653720639207813
4. ! [X0] : ((~brave(X0) | ~patient(X0)) => creative(X0)) [input p3]
8. ! [X0] : ((kind(X0) | generous(X0)) <=> (happy(X0) | ~creative(X0))) [input p7]
12. ! [X0] : (kind(X0) <=> tall(X0)) [input p11]
13. ! [... | 0 |
If alice is both strong and not wise then mary is funny and vice versa. Everyone who is both funny and not curious is not humble and vice versa. If someone is both brave and wise then fred is either not wise or happy and vice versa. If someone is creative then lucy is rich and vice versa. If someone is either not funny... | Mary is curious. | entailment | (((strong(alice)&~wise(alice)))<=>(funny(mary)))&
(![X]:((funny(X)&~curious(X))<=>~humble(X)))&
((?[X]:((brave(X)&wise(X))))<=>((~wise(fred)<~>happy(fred))))&
((?[X]:(creative(X)))<=>(rich(lucy)))&
((?[X]:((~funny(X)<~>~old(X))))<=>(?[X]:(funny(X))))&
(![X]:(wise(X)=>strong(X)))&
(![X]:((humble(X)<~>wise(X))<=>(wise(X)... | curious(mary) | [
"p0",
"p1",
"p5",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6911334264766551960552353
% SZS output start Proof for 6911334264766551960552353
1. (~wise(alice) & strong(alice)) <=> funny(mary) [input p0]
2. ! [X0] : ((~curious(X0) & funny(X0)) <=> ~humble(X0)) [input p1]
6. ! [X0] : (wise(X0) => strong(X0)) [input p5]
7. ! [X0] : ((humble(X0) <~> wi... | 0 |
If someone is either quiet or tall then fred is not brave or not happy and vice versa.
Everyone who is not generous is not happy or strong.
Everyone who is both humble and not patient is not tall and vice versa.
Everyone who is not old is not rich and vice versa.
If someone is both strong and not calm then someone is s... | Fred is calm. | contradiction | ((?[X]:((quiet(X)<~>tall(X))))<=>((~brave(fred)|~happy(fred))))&
(![X]:(~generous(X)=>(~happy(X)|strong(X))))&
(![X]:((humble(X)&~patient(X))<=>~tall(X)))&
(![X]:(~old(X)<=>~rich(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:(strong(X))))&
(((~kind(susan)&~calm(susan)))<=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((~quiet(X)<... | calm(fred) | [
"p2",
"p3",
"p6",
"p7",
"p9",
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1427544207395555138337483
% SZS output start Proof for 1427544207395555138337483
3. ! [X0] : ((~patient(X0) & humble(X0)) <=> ~tall(X0)) [input p2]
4. ! [X0] : (~old(X0) <=> ~rich(X0)) [input p3]
7. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => strong(X0)) [input p6]
8. ! [X0] : (generous(X0) <... | 0 |
If susan is both not patient and not curious then someone is not happy or kind.
Everyone who is either not funny or not happy is both not rich and happy and vice versa.
If susan is not calm then someone is both not brave and patient and vice versa.
Everyone who is rich or old is not happy and vice versa.
Everyone who i... | Mary is not brave. | entailment | (((~patient(susan)&~curious(susan)))=>(?[X]:((~happy(X)|kind(X)))))&
(![X]:((~funny(X)<~>~happy(X))<=>(~rich(X)&happy(X))))&
((~calm(susan))<=>(?[X]:((~brave(X)&patient(X)))))&
(![X]:((rich(X)|old(X))<=>~happy(X)))&
(![X]:((curious(X)<~>~generous(X))<=>(~wise(X)&~calm(X))))&
(![X]:((~funny(X)|brave(X))=>(~curious(X)<~>... | ~brave(mary) | [
"p1",
"p3",
"p5",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7341458290837518341198012
% SZS output start Proof for 7341458290837518341198012
2. ! [X0] : ((~funny(X0) <~> ~happy(X0)) <=> (happy(X0) & ~rich(X0))) [input p1]
4. ! [X0] : ((old(X0) | rich(X0)) <=> ~happy(X0)) [input p3]
6. ! [X0] : ((brave(X0) | ~funny(X0)) => (~curious(X0) <~> ~quiet(... | 0 |
If alice is both not strong and funny then alice is either not calm or brave. If mary is either not happy or tall then john is not quiet and vice versa. Everyone who is not funny or not happy is strong and vice versa. Everyone who is both not curious and happy is both not funny and not rich and vice versa. Everyone who... | Alice is not tall. | neutral | (((~strong(alice)&funny(alice)))=>((~calm(alice)<~>brave(alice))))&
(((~happy(mary)<~>tall(mary)))<=>(~quiet(john)))&
(![X]:((~funny(X)|~happy(X))<=>strong(X)))&
(![X]:((~curious(X)&happy(X))<=>(~funny(X)&~rich(X))))&
(![X]:((~generous(X)&tall(X))<=>(strong(X)<~>funny(X))))&
(![X]:((~funny(X)<~>~strong(X))<=>(tall(X)<~... | ~tall(alice) | [] | null | 0 |
Everyone who is both brave and not calm is kind or tall and vice versa.
Everyone who is curious or not kind is creative.
If someone is not strong then someone is either rich or quiet and vice versa.
Everyone who is either not curious or old is strong or not kind.
Everyone who is both humble and old is generous and vice... | Mary is tall. | neutral | (![X]:((brave(X)&~calm(X))<=>(kind(X)|tall(X))))&
(![X]:((curious(X)|~kind(X))=>creative(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:((~curious(X)<~>old(X))=>(strong(X)|~kind(X))))&
(![X]:((humble(X)&old(X))<=>generous(X)))&
(![X]:((patient(X)<~>~old(X))<=>(~quiet(X)|brave(X))))&
((?[X]:((rich(X)... | tall(mary) | [] | null | 0 |
If someone is not strong then someone is kind or patient.
Everyone who is not funny or humble is both not wise and wise.
If mary is not calm then someone is not old or humble and vice versa.
If someone is humble then someone is both old and not creative and vice versa.
If someone is happy or brave then someone is not w... | Alice is humble. | contradiction | ((?[X]:(~strong(X)))=>(?[X]:((kind(X)|patient(X)))))&
(![X]:((~funny(X)|humble(X))=>(~wise(X)&wise(X))))&
((~calm(mary))<=>(?[X]:((~old(X)|humble(X)))))&
((?[X]:(humble(X)))<=>(?[X]:((old(X)&~creative(X)))))&
((?[X]:((happy(X)|brave(X))))=>(?[X]:(~wise(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~rich(X)|generous(... | humble(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7223808912958135706529752
% SZS output start Proof for 7223808912958135706529752
2. ! [X0] : ((humble(X0) | ~funny(X0)) => (wise(X0) & ~wise(X0))) [input p1]
25. humble(alice) [input hypothesis]
36. ! [X0] : ((wise(X0) & ~wise(X0)) | (~humble(X0) & funny(X0))) [ennf transformation 2]
90. ... | 0 |
If john is not brave or rich then someone is not curious or not old and vice versa. Everyone who is not creative is both not brave and tall. If someone is both not curious and strong then someone is calm or not rich and vice versa. Everyone who is wise is either not quiet or brave and vice versa. Everyone who is both q... | John is not patient. | entailment | (((~brave(john)|rich(john)))<=>(?[X]:((~curious(X)|~old(X)))))&
(![X]:(~creative(X)=>(~brave(X)&tall(X))))&
((?[X]:((~curious(X)&strong(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:(wise(X)<=>(~quiet(X)<~>brave(X))))&
(![X]:((quiet(X)&generous(X))=>(~brave(X)&~humble(X))))&
(![X]:(funny(X)<=>tall(X)))&
(![X]:((curious(X... | ~patient(john) | [
"p3",
"p19",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2625677633953588106996152
% SZS output start Proof for 2625677633953588106996152
4. ! [X0] : (wise(X0) <=> (~quiet(X0) <~> brave(X0))) [input p3]
20. wise(john) <~> ~brave(john) [input p19]
21. ~patient(john) <~> ~quiet(john) [input p20]
23. ~brave(john) [input p22]
25. patient(john) [inp... | 0 |
If mary is both not tall and generous then paul is both generous and curious.
If susan is humble or calm then someone is both old and not curious and vice versa.
Everyone who is either rich or strong is quiet or not generous and vice versa.
Everyone who is not funny is humble or not brave.
If lucy is either not wise or... | Lucy is not curious. | neutral | (((~tall(mary)&generous(mary)))=>((generous(paul)&curious(paul))))&
(((humble(susan)|calm(susan)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((rich(X)<~>strong(X))<=>(quiet(X)|~generous(X))))&
(![X]:(~funny(X)=>(humble(X)|~brave(X))))&
(((~wise(lucy)<~>strong(lucy)))=>((~rich(lucy)|~funny(lucy))))&
(![X]:((rich(X)|~quiet... | ~curious(lucy) | [] | null | 0 |
Everyone who is either not happy or curious is either rich or not curious and vice versa.
Everyone who is not quiet is generous or not generous.
If alice is rich or not patient then someone is not funny or not patient and vice versa.
Everyone who is not strong or creative is wise and vice versa.
Everyone who is creativ... | John is not calm. | neutral | (![X]:((~happy(X)<~>curious(X))<=>(rich(X)<~>~curious(X))))&
(![X]:(~quiet(X)=>(generous(X)|~generous(X))))&
(((rich(alice)|~patient(alice)))<=>(?[X]:((~funny(X)|~patient(X)))))&
(![X]:((~strong(X)|creative(X))<=>wise(X)))&
(![X]:(creative(X)=>~old(X)))&
(((quiet(fred)|~funny(fred)))=>((wise(alice)&~happy(alice))))&
(!... | ~calm(john) | [] | null | 0 |
Everyone who is either not curious or not creative is not curious or wise. If john is not patient then alice is both not wise and generous and vice versa. If someone is curious then someone is brave and vice versa. If someone is kind then someone is quiet or not tall and vice versa. Everyone who is strong is either not... | John is generous. | contradiction | (![X]:((~curious(X)<~>~creative(X))=>(~curious(X)|wise(X))))&
((~patient(john))<=>((~wise(alice)&generous(alice))))&
((?[X]:(curious(X)))<=>(?[X]:(brave(X))))&
((?[X]:(kind(X)))<=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:(strong(X)=>(~old(X)<~>~curious(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((kind(X)<~>~wise(X)))))&
(![X]:((wi... | generous(john) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8681437765738526464588245
% SZS output start Proof for 8681437765738526464588245
10. ! [X0] : ((old(X0) & ~patient(X0)) <=> ~old(X0)) [input p9]
14. ! [X0] : ((generous(X0) | rich(X0)) <=> (~old(X0) & ~happy(X0))) [input p13]
24. generous(john) [input hypothesis]
61. ! [X0] : (((old(X0) &... | 0 |
Everyone who is not generous or patient is strong. If someone is either patient or not funny then susan is either rich or creative and vice versa. If fred is either creative or not calm then paul is both not wise and generous and vice versa. Everyone who is either not quiet or wise is either not strong or kind. Everyon... | Susan is not old. | contradiction | (![X]:((~generous(X)|patient(X))=>strong(X)))&
((?[X]:((patient(X)<~>~funny(X))))<=>((rich(susan)<~>creative(susan))))&
(((creative(fred)<~>~calm(fred)))<=>((~wise(paul)&generous(paul))))&
(![X]:((~quiet(X)<~>wise(X))=>(~strong(X)<~>kind(X))))&
(![X]:((~funny(X)|brave(X))=>(generous(X)<~>happy(X))))&
(![X]:(~happy(X)=>... | ~old(susan) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 49406902557531085566908
% SZS output start Proof for 49406902557531085566908
7. ? [X0] : (patient(X0) | ~generous(X0)) => (~rich(susan) & ~creative(susan)) [input p6]
15. ! [X0] : (~old(X0) => (~generous(X0) & creative(X0))) [input p14]
25. ~old(susan) [input hypothesis]
31. (~rich(susan)... | 0 |
Everyone who is both patient and not old is either calm or not brave and vice versa.
Everyone who is not tall is both wise and calm and vice versa.
Everyone who is both calm and patient is both not strong and funny.
Everyone who is either not patient or generous is both not quiet and calm and vice versa.
Everyone who i... | Alice is humble. | contradiction | (![X]:((patient(X)&~old(X))<=>(calm(X)<~>~brave(X))))&
(![X]:(~tall(X)<=>(wise(X)&calm(X))))&
(![X]:((calm(X)&patient(X))=>(~strong(X)&funny(X))))&
(![X]:((~patient(X)<~>generous(X))<=>(~quiet(X)&calm(X))))&
(![X]:((quiet(X)|~generous(X))<=>(~kind(X)<~>~humble(X))))&
(![X]:((brave(X)<~>curious(X))=>kind(X)))&
(![X]:((~... | humble(alice) | [
"p0",
"p1",
"p6",
"p11",
"p12",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3164906799858014383335571
% SZS output start Proof for 3164906799858014383335571
1. ! [X0] : ((~old(X0) & patient(X0)) <=> (calm(X0) <~> ~brave(X0))) [input p0]
2. ! [X0] : (~tall(X0) <=> (calm(X0) & wise(X0))) [input p1]
7. ! [X0] : ((~quiet(X0) | ~brave(X0)) <=> (~old(X0) & ~patient(X0)... | 0 |
If susan is either not funny or not kind then someone is either not patient or kind. If susan is not rich or calm then alice is both not calm and patient and vice versa. If alice is patient then fred is funny or not generous and vice versa. Everyone who is either happy or generous is either curious or not funny and vic... | Fred is not generous. | contradiction | (((~funny(susan)<~>~kind(susan)))=>(?[X]:((~patient(X)<~>kind(X)))))&
(((~rich(susan)|calm(susan)))<=>((~calm(alice)&patient(alice))))&
((patient(alice))<=>((funny(fred)|~generous(fred))))&
(![X]:((happy(X)<~>generous(X))<=>(curious(X)<~>~funny(X))))&
(![X]:((kind(X)<~>creative(X))<=>strong(X)))&
(![X]:((~humble(X)&~st... | ~generous(fred) | [
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6519575024357432120900447
% SZS output start Proof for 6519575024357432120900447
15. ? [X0] : (curious(X0) | wise(X0)) => generous(fred) [input p14]
22. wise(susan) & tall(susan) [input p21]
25. ~generous(fred) [input hypothesis]
38. generous(fred) | ! [X0] : (~curious(X0) & ~wise(X0)) [e... | 0 |
If paul is both not funny and not generous then mary is either not tall or tall. If lucy is curious then john is both not rich and not tall and vice versa. If someone is either happy or tall then paul is not old or not quiet. If susan is tall or not brave then paul is either not old or quiet. Everyone who is either not... | John is not generous. | neutral | (((~funny(paul)&~generous(paul)))=>((~tall(mary)<~>tall(mary))))&
((curious(lucy))<=>((~rich(john)&~tall(john))))&
((?[X]:((happy(X)<~>tall(X))))=>((~old(paul)|~quiet(paul))))&
(((tall(susan)|~brave(susan)))=>((~old(paul)<~>quiet(paul))))&
(![X]:((~curious(X)<~>~humble(X))<=>(kind(X)|curious(X))))&
(![X]:((curious(X)|b... | ~generous(john) | [] | null | 0 |
Everyone who is funny or not rich is rich and vice versa.
Everyone who is not rich or not old is not tall and vice versa.
If paul is both not strong and funny then mary is either strong or not happy.
If someone is both curious and not kind then someone is both wise and calm.
If someone is not generous then fred is both... | Mary is brave. | contradiction | (![X]:((funny(X)|~rich(X))<=>rich(X)))&
(![X]:((~rich(X)|~old(X))<=>~tall(X)))&
(((~strong(paul)&funny(paul)))=>((strong(mary)<~>~happy(mary))))&
((?[X]:((curious(X)&~kind(X))))=>(?[X]:((wise(X)&calm(X)))))&
((?[X]:(~generous(X)))=>((~tall(fred)&~calm(fred))))&
(((~brave(susan)&funny(susan)))<=>(?[X]:((~curious(X)<~>ge... | brave(mary) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8233717875185476345631893
% SZS output start Proof for 8233717875185476345631893
1. ! [X0] : ((~rich(X0) | funny(X0)) <=> rich(X0)) [input p0]
12. ! [X0] : ((~humble(X0) & brave(X0)) <=> (humble(X0) <~> ~rich(X0))) [input p11]
22. brave(mary) [input hypothesis]
36. ! [X0] : (((~rich(X0) |... | 0 |
Everyone who is both not patient and creative is both tall and happy.
Everyone who is funny or not rich is either creative or not strong and vice versa.
Everyone who is not calm is humble or tall and vice versa.
Everyone who is not patient or rich is either not funny or not kind and vice versa.
If lucy is either not wi... | Paul is not old. | entailment | (![X]:((~patient(X)&creative(X))=>(tall(X)&happy(X))))&
(![X]:((funny(X)|~rich(X))<=>(creative(X)<~>~strong(X))))&
(![X]:(~calm(X)<=>(humble(X)|tall(X))))&
(![X]:((~patient(X)|rich(X))<=>(~funny(X)<~>~kind(X))))&
(((~wise(lucy)<~>~humble(lucy)))=>((~kind(john)&~tall(john))))&
(![X]:((~creative(X)<~>~generous(X))=>~tall... | ~old(paul) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2203958116632750177541008
% SZS output start Proof for 2203958116632750177541008
15. (rich(lucy) & ~rich(lucy)) <=> ? [X0] : old(X0) [input p14]
25. old(paul) [input hypothesis]
63. ((rich(lucy) & ~rich(lucy)) | ! [X0] : ~old(X0)) & (? [X0] : old(X0) | (~rich(lucy) | rich(lucy))) [nnf tra... | 0 |
If someone is either funny or not creative then someone is either not old or humble and vice versa. If fred is either strong or not curious then paul is either not brave or wise and vice versa. If alice is either tall or quiet then someone is either kind or not kind and vice versa. If susan is both creative and not cre... | Mary is tall. | entailment | ((?[X]:((funny(X)<~>~creative(X))))<=>(?[X]:((~old(X)<~>humble(X)))))&
(((strong(fred)<~>~curious(fred)))<=>((~brave(paul)<~>wise(paul))))&
(((tall(alice)<~>quiet(alice)))<=>(?[X]:((kind(X)<~>~kind(X)))))&
(((creative(susan)&~creative(susan)))=>(?[X]:((rich(X)<~>~calm(X)))))&
((~kind(john))=>((~patient(john)|~old(john)... | tall(mary) | [
"p11",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6385494470916670682403150
% SZS output start Proof for 6385494470916670682403150
12. ! [X0] : ((~brave(X0) | old(X0)) <=> (~strong(X0) & funny(X0))) [input p11]
14. ! [X0] : ((funny(X0) | ~tall(X0)) => (~brave(X0) & ~humble(X0))) [input p13]
15. ? [X0] : (~patient(X0) | ~tall(X0)) <=> (ol... | 0 |
If paul is either old or calm then someone is not patient or not kind and vice versa.
If someone is both old and not generous then someone is generous or tall.
If lucy is humble then someone is generous or not curious and vice versa.
Everyone who is rich or humble is strong and vice versa.
Everyone who is not happy is ... | Alice is not happy. | contradiction | (((old(paul)<~>calm(paul)))<=>(?[X]:((~patient(X)|~kind(X)))))&
((?[X]:((old(X)&~generous(X))))=>(?[X]:((generous(X)|tall(X)))))&
((humble(lucy))<=>(?[X]:((generous(X)|~curious(X)))))&
(![X]:((rich(X)|humble(X))<=>strong(X)))&
(![X]:(~happy(X)=>(funny(X)&~quiet(X))))&
(((~creative(mary)<~>brave(mary)))<=>(?[X]:((rich(X... | ~happy(alice) | [
"p3",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7264913662292916480357289
% SZS output start Proof for 7264913662292916480357289
4. ! [X0] : ((humble(X0) | rich(X0)) <=> strong(X0)) [input p3]
14. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (~old(X0) & tall(X0))) [input p13]
15. ! [X0] : ((generous(X0) | tall(X0)) => (rich(X0) & ~generou... | 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... | John is strong. | neutral | ((?[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... | strong(john) | [] | null | 0 |
Everyone who is tall is not humble.
If someone is not creative or not wise then lucy is happy and vice versa.
If someone is happy then lucy is generous or strong and vice versa.
If mary is not kind or quiet then someone is either generous or wise and vice versa.
Everyone who is not old is generous.
If paul is both not ... | Fred is not strong. | neutral | (![X]:(tall(X)=>~humble(X)))&
((?[X]:((~creative(X)|~wise(X))))<=>(happy(lucy)))&
((?[X]:(happy(X)))<=>((generous(lucy)|strong(lucy))))&
(((~kind(mary)|quiet(mary)))<=>(?[X]:((generous(X)<~>wise(X)))))&
(![X]:(~old(X)=>generous(X)))&
(((~happy(paul)&~calm(paul)))=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((old(X)|~funny(X)... | ~strong(fred) | [] | null | 0 |
Everyone who is humble or curious is both patient and wise and vice versa.
Everyone who is either generous or not wise is either strong or funny and vice versa.
Everyone who is either not brave or not tall is not brave.
If john is either humble or quiet then susan is rich or not old.
Everyone who is not brave or not hu... | John is brave. | contradiction | (![X]:((humble(X)|curious(X))<=>(patient(X)&wise(X))))&
(![X]:((generous(X)<~>~wise(X))<=>(strong(X)<~>funny(X))))&
(![X]:((~brave(X)<~>~tall(X))=>~brave(X)))&
(((humble(john)<~>quiet(john)))=>((rich(susan)|~old(susan))))&
(![X]:((~brave(X)|~humble(X))=>(tall(X)|happy(X))))&
(![X]:(brave(X)=>(brave(X)<~>~rich(X))))&
((... | brave(john) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 252001391989496414340315
% SZS output start Proof for 252001391989496414340315
3. ! [X0] : ((~brave(X0) <~> ~tall(X0)) => ~brave(X0)) [input p2]
10. ! [X0] : (~wise(X0) <=> (wise(X0) & tall(X0))) [input p9]
23. brave(john) [input hypothesis]
25. ! [X0] : (~brave(X0) | (~brave(X0) <=> ~tal... | 0 |
If someone is both brave and strong then someone is not brave or patient. If someone is not brave then someone is not tall or calm. Everyone who is either not humble or calm is not happy or not kind and vice versa. If someone is wise then susan is both rich and quiet. Everyone who is not rich or not quiet is not calm o... | Susan is kind. | contradiction | ((?[X]:((brave(X)&strong(X))))=>(?[X]:((~brave(X)|patient(X)))))&
((?[X]:(~brave(X)))=>(?[X]:((~tall(X)|calm(X)))))&
(![X]:((~humble(X)<~>calm(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(wise(X)))=>((rich(susan)&quiet(susan))))&
(![X]:((~rich(X)|~quiet(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~old(X)|~happy(X))))&
(!... | kind(susan) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 425347609330606319421723
% SZS output start Proof for 425347609330606319421723
7. ! [X0] : ((humble(X0) & strong(X0)) <=> (~brave(X0) | old(X0))) [input p6]
10. ? [X0] : kind(X0) <=> ? [X0] : (~brave(X0) & ~humble(X0)) [input p9]
23. kind(susan) [input hypothesis]
27. ? [X0] : kind(X0) <=... | 0 |
If alice is quiet then john is not brave or humble and vice versa.
Everyone who is both not wise and quiet is not calm.
Everyone who is not patient or not brave is not curious or not kind and vice versa.
If paul is not quiet then someone is curious and vice versa.
Everyone who is either not kind or curious is old or ri... | Alice is patient. | entailment | ((quiet(alice))<=>((~brave(john)|humble(john))))&
(![X]:((~wise(X)&quiet(X))=>~calm(X)))&
(![X]:((~patient(X)|~brave(X))<=>(~curious(X)|~kind(X))))&
((~quiet(paul))<=>(?[X]:(curious(X))))&
(![X]:((~kind(X)<~>curious(X))=>(old(X)|rich(X))))&
(((~quiet(susan)<~>brave(susan)))=>(?[X]:((~rich(X)&~kind(X)))))&
((wise(alice)... | patient(alice) | [
"p8",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3604219838389625010445931
% SZS output start Proof for 3604219838389625010445931
9. ! [X0] : ((curious(X0) | ~calm(X0)) <=> (brave(X0) | generous(X0))) [input p8]
14. ! [X0] : ((brave(X0) | patient(X0)) <=> (~curious(X0) | ~creative(X0))) [input p13]
15. ! [X0] : ((~brave(X0) <~> kind(X0)... | 0 |
If paul is both not rich and not calm then someone is not rich and vice versa.
Everyone who is not brave or not old is not curious or rich.
Everyone who is tall is both curious and tall and vice versa.
Everyone who is either curious or not rich is either not creative or wise and vice versa.
Everyone who is both funny a... | John is not generous. | entailment | (((~rich(paul)&~calm(paul)))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)|~old(X))=>(~curious(X)|rich(X))))&
(![X]:(tall(X)<=>(curious(X)&tall(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(~creative(X)<~>wise(X))))&
(![X]:((funny(X)&~patient(X))=>(~tall(X)<~>~rich(X))))&
(((~kind(john)<~>~brave(john)))=>((calm(lucy)<~>~creative(... | ~generous(john) | [
"p0",
"p2",
"p8",
"p10",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 601255732979599019215794
% SZS output start Proof for 601255732979599019215794
1. (~calm(paul) & ~rich(paul)) <=> ? [X0] : ~rich(X0) [input p0]
3. ! [X0] : (tall(X0) <=> (tall(X0) & curious(X0))) [input p2]
9. ! [X0] : ((~funny(X0) | ~creative(X0)) => (creative(X0) & calm(X0))) [input p8]... | 0 |
Everyone who is curious or not curious is strong or not funny.
If someone is either not curious or not rich then paul is either not funny or patient and vice versa.
Everyone who is either not quiet or not tall is strong.
Everyone who is brave is both strong and brave and vice versa.
If alice is either not old or not ca... | Fred is old. | contradiction | (![X]:((curious(X)|~curious(X))=>(strong(X)|~funny(X))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>((~funny(paul)<~>patient(paul))))&
(![X]:((~quiet(X)<~>~tall(X))=>strong(X)))&
(![X]:(brave(X)<=>(strong(X)&brave(X))))&
(((~old(alice)<~>~calm(alice)))=>((~tall(alice)<~>old(alice))))&
((?[X]:((~quiet(X)<~>patient(X))))<=>(?... | old(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1970998472438901333829435
% SZS output start Proof for 1970998472438901333829435
14. ! [X0] : ((~old(X0) <~> wise(X0)) <=> ~wise(X0)) [input p13]
24. old(fred) [input hypothesis]
69. ! [X0] : ((((~wise(X0) | old(X0)) & (wise(X0) | ~old(X0))) | wise(X0)) & (~wise(X0) | ((~old(X0) | ~wise(X... | 0 |
If someone is either patient or quiet then someone is both patient and curious.
Everyone who is not kind or kind is either not brave or curious and vice versa.
Everyone who is calm is quiet and vice versa.
If lucy is not rich or wise then someone is not curious.
Everyone who is both happy and rich is not kind or not cr... | Lucy is calm. | contradiction | ((?[X]:((patient(X)<~>quiet(X))))=>(?[X]:((patient(X)&curious(X)))))&
(![X]:((~kind(X)|kind(X))<=>(~brave(X)<~>curious(X))))&
(![X]:(calm(X)<=>quiet(X)))&
(((~rich(lucy)|wise(lucy)))=>(?[X]:(~curious(X))))&
(![X]:((happy(X)&rich(X))=>(~kind(X)|~creative(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~quiet(X))))&
(![X]:(old(X)... | calm(lucy) | [
"p0",
"p1",
"p2",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8865227106127187212311035
% SZS output start Proof for 8865227106127187212311035
1. ? [X0] : (patient(X0) <~> quiet(X0)) => ? [X0] : (curious(X0) & patient(X0)) [input p0]
2. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (~brave(X0) <~> curious(X0))) [input p1]
3. ! [X0] : (calm(X0) <=> quiet(X0))... | 0 |
If paul is not curious then someone is not brave and vice versa. Everyone who is not brave is quiet or brave. If lucy is either not rich or not patient then susan is either not humble or generous. If someone is either not strong or old then someone is either not old or old. If someone is not patient or not wise then so... | Susan is not quiet. | entailment | ((~curious(paul))<=>(?[X]:(~brave(X))))&
(![X]:(~brave(X)=>(quiet(X)|brave(X))))&
(((~rich(lucy)<~>~patient(lucy)))=>((~humble(susan)<~>generous(susan))))&
((?[X]:((~strong(X)<~>old(X))))=>(?[X]:((~old(X)<~>old(X)))))&
((?[X]:((~patient(X)|~wise(X))))<=>(?[X]:((strong(X)&tall(X)))))&
((?[X]:(calm(X)))=>(?[X]:((generous... | ~quiet(susan) | [
"p7",
"p11",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3873501063514553803815719
% SZS output start Proof for 3873501063514553803815719
8. ! [X0] : ((old(X0) & ~quiet(X0)) <=> (old(X0) & quiet(X0))) [input p7]
12. ! [X0] : (~wise(X0) <=> (~quiet(X0) | creative(X0))) [input p11]
15. ! [X0] : ((humble(X0) | ~old(X0)) <=> (calm(X0) & ~creative(X... | 0 |
If alice is either funny or not strong then lucy is not brave or brave. If fred is not strong or creative then john is either not quiet or kind. Everyone who is brave or tall is tall. Everyone who is both not tall and not patient is either tall or happy. Everyone who is not brave is either old or rich and vice versa. I... | John is funny. | neutral | (((funny(alice)<~>~strong(alice)))=>((~brave(lucy)|brave(lucy))))&
(((~strong(fred)|creative(fred)))=>((~quiet(john)<~>kind(john))))&
(![X]:((brave(X)|tall(X))=>tall(X)))&
(![X]:((~tall(X)&~patient(X))=>(tall(X)<~>happy(X))))&
(![X]:(~brave(X)<=>(old(X)<~>rich(X))))&
(((generous(john)&humble(john)))=>(?[X]:((~tall(X)<~... | funny(john) | [] | null | 0 |
Everyone who is both kind and curious is either wise or patient and vice versa.
Everyone who is either patient or not quiet is not funny or not wise and vice versa.
If alice is both happy and not quiet then fred is both not humble and not creative and vice versa.
If someone is either not patient or brave then mary is b... | John is not strong. | neutral | (![X]:((kind(X)&curious(X))<=>(wise(X)<~>patient(X))))&
(![X]:((patient(X)<~>~quiet(X))<=>(~funny(X)|~wise(X))))&
(((happy(alice)&~quiet(alice)))<=>((~humble(fred)&~creative(fred))))&
((?[X]:((~patient(X)<~>brave(X))))=>((~happy(mary)&patient(mary))))&
(![X]:((~rich(X)<~>curious(X))=>(~generous(X)|quiet(X))))&
(![X]:((... | ~strong(john) | [] | null | 0 |
Everyone who is generous or rich is humble or quiet and vice versa. Everyone who is not tall or not rich is not strong. Everyone who is either not curious or quiet is not quiet and vice versa. Everyone who is either funny or wise is not wise and vice versa. Everyone who is not curious or not happy is patient. Everyone ... | Paul is generous. | contradiction | (![X]:((generous(X)|rich(X))<=>(humble(X)|quiet(X))))&
(![X]:((~tall(X)|~rich(X))=>~strong(X)))&
(![X]:((~curious(X)<~>quiet(X))<=>~quiet(X)))&
(![X]:((funny(X)<~>wise(X))<=>~wise(X)))&
(![X]:((~curious(X)|~happy(X))=>patient(X)))&
(![X]:(wise(X)=>~happy(X)))&
(![X]:((~tall(X)|generous(X))=>~brave(X)))&
((?[X]:(kind(X)... | generous(paul) | [
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4969535371527844404656330
% SZS output start Proof for 4969535371527844404656330
3. ! [X0] : ((~curious(X0) <~> quiet(X0)) <=> ~quiet(X0)) [input p2]
7. ! [X0] : ((generous(X0) | ~tall(X0)) => ~brave(X0)) [input p6]
9. (curious(alice) & ~strong(alice)) <=> ? [X0] : (~brave(X0) & generous(... | 0 |
If someone is either not creative or funny then someone is both not humble and not tall and vice versa.
Everyone who is both humble and patient is both not brave and happy.
If someone is not old or wise then lucy is either not humble or happy and vice versa.
Everyone who is either not brave or not strong is both not cu... | Susan is patient. | contradiction | ((?[X]:((~creative(X)<~>funny(X))))<=>(?[X]:((~humble(X)&~tall(X)))))&
(![X]:((humble(X)&patient(X))=>(~brave(X)&happy(X))))&
((?[X]:((~old(X)|wise(X))))<=>((~humble(lucy)<~>happy(lucy))))&
(![X]:((~brave(X)<~>~strong(X))=>(~curious(X)&~creative(X))))&
((?[X]:((~wise(X)<~>funny(X))))=>((wise(paul)<~>generous(paul))))&
... | patient(susan) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4424413756217926384849594
% SZS output start Proof for 4424413756217926384849594
10. (brave(susan) & ~patient(susan)) <=> ? [X0] : humble(X0) [input p9]
18. humble(paul) [input p17]
25. patient(susan) [input hypothesis]
58. ((brave(susan) & ~patient(susan)) | ! [X0] : ~humble(X0)) & (? [X... | 0 |
Everyone who is both not creative and not kind is not patient or wise.
Everyone who is kind is both not generous and creative and vice versa.
Everyone who is not quiet or not curious is both not funny and not strong.
If someone is strong or quiet then mary is both rich and tall.
Everyone who is both funny and happy is ... | Alice is not brave. | entailment | (![X]:((~creative(X)&~kind(X))=>(~patient(X)|wise(X))))&
(![X]:(kind(X)<=>(~generous(X)&creative(X))))&
(![X]:((~quiet(X)|~curious(X))=>(~funny(X)&~strong(X))))&
((?[X]:((strong(X)|quiet(X))))=>((rich(mary)&tall(mary))))&
(![X]:((funny(X)&happy(X))<=>(~happy(X)&~calm(X))))&
(![X]:((happy(X)&funny(X))=>(happy(X)&~rich(X... | ~brave(alice) | [
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4967271759515027682181865
% SZS output start Proof for 4967271759515027682181865
10. ! [X0] : ((~rich(X0) & quiet(X0)) <=> (quiet(X0) <~> brave(X0))) [input p9]
11. ? [X0] : (~generous(X0) | curious(X0)) <=> ~rich(alice) [input p10]
24. ? [X0] : (~generous(X0) & ~humble(X0)) [input p23]
2... | 0 |
If mary is not funny or quiet then someone is not generous or old. If fred is both not old and not happy then john is not brave or not curious and vice versa. If someone is not brave or wise then fred is not strong or happy. If lucy is not humble or not curious then someone is calm and vice versa. Everyone who is eithe... | Lucy is quiet. | entailment | (((~funny(mary)|quiet(mary)))=>(?[X]:((~generous(X)|old(X)))))&
(((~old(fred)&~happy(fred)))<=>((~brave(john)|~curious(john))))&
((?[X]:((~brave(X)|wise(X))))=>((~strong(fred)|happy(fred))))&
(((~humble(lucy)|~curious(lucy)))<=>(?[X]:(calm(X))))&
(![X]:((strong(X)<~>~wise(X))=>(happy(X)|~brave(X))))&
(![X]:((~quiet(X)|... | quiet(lucy) | [
"p5",
"p13",
"p14",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 284695785438250635812362
% SZS output start Proof for 284695785438250635812362
6. ! [X0] : ((~funny(X0) | ~quiet(X0)) => (~strong(X0) <~> creative(X0))) [input p5]
14. ! [X0] : (~tall(X0) <=> (brave(X0) | funny(X0))) [input p13]
15. ! [X0] : ((~brave(X0) | ~rich(X0)) => creative(X0)) [inp... | 0 |
Everyone who is wise or not tall is not quiet or funny and vice versa. Everyone who is either not patient or brave is either not strong or calm and vice versa. Everyone who is brave is not funny. Everyone who is either not strong or not calm is patient or not brave and vice versa. Everyone who is not wise is not patien... | John is not patient. | contradiction | (![X]:((wise(X)|~tall(X))<=>(~quiet(X)|funny(X))))&
(![X]:((~patient(X)<~>brave(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(brave(X)=>~funny(X)))&
(![X]:((~strong(X)<~>~calm(X))<=>(patient(X)|~brave(X))))&
(![X]:(~wise(X)<=>(~patient(X)|~calm(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(~strong(X)<~>rich(X))))&
(((~humble(fred)&... | ~patient(john) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7128486278945404287118014
% SZS output start Proof for 7128486278945404287118014
2. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~strong(X0) <~> calm(X0))) [input p1]
3. ! [X0] : (brave(X0) => ~funny(X0)) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~calm(X0)) <=> (~brave(X0) | patient(X0))) [... | 0 |
Everyone who is quiet is both strong and not quiet.
Everyone who is both not old and generous is generous and vice versa.
If susan is either strong or calm then someone is old.
If fred is both not quiet and not kind then paul is both humble and not tall.
If john is not humble then someone is not quiet or calm and vice ... | Alice is curious. | contradiction | (![X]:(quiet(X)=>(strong(X)&~quiet(X))))&
(![X]:((~old(X)&generous(X))<=>generous(X)))&
(((strong(susan)<~>calm(susan)))=>(?[X]:(old(X))))&
(((~quiet(fred)&~kind(fred)))=>((humble(paul)&~tall(paul))))&
((~humble(john))<=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((~old(X)<~>~calm(X))<=>(funny(X)&~generous(X))))&
(((~patient... | curious(alice) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p12",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5700972599873200072716674
% SZS output start Proof for 5700972599873200072716674
1. ! [X0] : (quiet(X0) => (~quiet(X0) & strong(X0))) [input p0]
5. ~humble(john) <=> ? [X0] : (calm(X0) | ~quiet(X0)) [input p4]
6. ! [X0] : ((~old(X0) <~> ~calm(X0)) <=> (~generous(X0) & funny(X0))) [input p... | 0 |
Everyone who is both not tall and kind is either not creative or calm and vice versa.
If mary is both not brave and old then mary is either not old or rich.
Everyone who is not kind is either not creative or patient.
Everyone who is not old is either not funny or not happy and vice versa.
Everyone who is either calm or... | Fred is happy. | neutral | (![X]:((~tall(X)&kind(X))<=>(~creative(X)<~>calm(X))))&
(((~brave(mary)&old(mary)))=>((~old(mary)<~>rich(mary))))&
(![X]:(~kind(X)=>(~creative(X)<~>patient(X))))&
(![X]:(~old(X)<=>(~funny(X)<~>~happy(X))))&
(![X]:((calm(X)<~>~funny(X))<=>(happy(X)<~>generous(X))))&
(![X]:(humble(X)<=>(patient(X)<~>~rich(X))))&
((?[X]:(... | happy(fred) | [] | null | 0 |
Everyone who is either funny or not humble is patient or not generous and vice versa.
Everyone who is humble or kind is both calm and tall and vice versa.
Everyone who is both generous and not brave is either creative or not creative and vice versa.
If someone is either calm or wise then fred is both rich and not curio... | Alice is brave. | contradiction | (![X]:((funny(X)<~>~humble(X))<=>(patient(X)|~generous(X))))&
(![X]:((humble(X)|kind(X))<=>(calm(X)&tall(X))))&
(![X]:((generous(X)&~brave(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:((calm(X)<~>wise(X))))=>((rich(fred)&~curious(fred))))&
(![X]:((~rich(X)&~quiet(X))<=>(strong(X)|~creative(X))))&
(((~tall(mary)|funny(m... | brave(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 7096786848503311396596374
% SZS output start Proof for 7096786848503311396596374
3. ! [X0] : ((~brave(X0) & generous(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p2]
25. brave(alice) [input hypothesis]
39. ! [X0] : (((~brave(X0) & generous(X0)) | ((creative(X0) | creative(X0)) & (~cr... | 0 |
Everyone who is either quiet or strong is both funny and not calm and vice versa.
If susan is both not funny and generous then someone is not generous.
If john is both kind and tall then someone is not curious or creative and vice versa.
If someone is either quiet or strong then someone is either not humble or not kind... | John is not kind. | contradiction | (![X]:((quiet(X)<~>strong(X))<=>(funny(X)&~calm(X))))&
(((~funny(susan)&generous(susan)))=>(?[X]:(~generous(X))))&
(((kind(john)&tall(john)))<=>(?[X]:((~curious(X)|creative(X)))))&
((?[X]:((quiet(X)<~>strong(X))))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(![X]:((~strong(X)|creative(X))=>~patient(X)))&
((?[X]:((calm(X)&funn... | ~kind(john) | [
"p2",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2026575377885510951288085
% SZS output start Proof for 2026575377885510951288085
3. (tall(john) & kind(john)) <=> ? [X0] : (creative(X0) | ~curious(X0)) [input p2]
17. ~curious(susan) [input p16]
25. ~kind(john) [input hypothesis]
45. ((tall(john) & kind(john)) | ! [X0] : (~creative(X0) &... | 0 |
Everyone who is either strong or not calm is both calm and funny and vice versa. Everyone who is either not wise or not patient is patient or curious and vice versa. If someone is not happy or tall then paul is not brave or happy. If someone is creative then alice is curious or not rich. If someone is either not humble... | Mary is not happy. | entailment | (![X]:((strong(X)<~>~calm(X))<=>(calm(X)&funny(X))))&
(![X]:((~wise(X)<~>~patient(X))<=>(patient(X)|curious(X))))&
((?[X]:((~happy(X)|tall(X))))=>((~brave(paul)|happy(paul))))&
((?[X]:(creative(X)))=>((curious(alice)|~rich(alice))))&
((?[X]:((~humble(X)<~>~quiet(X))))=>((funny(fred)|~old(fred))))&
((?[X]:((patient(X)|r... | ~happy(mary) | [
"p0",
"p5",
"p8",
"p9",
"p11",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2241415115174440596844367
% SZS output start Proof for 2241415115174440596844367
1. ! [X0] : ((strong(X0) <~> ~calm(X0)) <=> (funny(X0) & calm(X0))) [input p0]
6. ? [X0] : (rich(X0) | patient(X0)) => (tall(mary) <~> kind(mary)) [input p5]
9. ! [X0] : ((generous(X0) & calm(X0)) <=> (~kind(... | 0 |
Everyone who is humble or not kind is not old or kind.
If john is not creative or generous then mary is not funny and vice versa.
Everyone who is not curious or curious is not brave.
If mary is kind or wise then someone is both calm and generous and vice versa.
Everyone who is not creative or funny is curious and vice ... | Fred is strong. | entailment | (![X]:((humble(X)|~kind(X))=>(~old(X)|kind(X))))&
(((~creative(john)|generous(john)))<=>(~funny(mary)))&
(![X]:((~curious(X)|curious(X))=>~brave(X)))&
(((kind(mary)|wise(mary)))<=>(?[X]:((calm(X)&generous(X)))))&
(![X]:((~creative(X)|funny(X))<=>curious(X)))&
(![X]:((brave(X)&tall(X))=>(~generous(X)<~>calm(X))))&
(![X]... | strong(fred) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4458837208781648982706607
% SZS output start Proof for 4458837208781648982706607
3. ! [X0] : ((curious(X0) | ~curious(X0)) => ~brave(X0)) [input p2]
16. ! [X0] : ((brave(X0) & patient(X0)) <=> (patient(X0) | ~strong(X0))) [input p15]
23. ~strong(fred) [input hypothesis]
26. ! [X0] : (~bra... | 0 |
Everyone who is creative or funny is old or not quiet and vice versa.
Everyone who is humble is either kind or funny and vice versa.
Everyone who is not quiet or rich is not strong or quiet.
Everyone who is not funny is not strong.
Everyone who is kind is either not generous or funny and vice versa.
Everyone who is bot... | Fred is kind. | entailment | (![X]:((creative(X)|funny(X))<=>(old(X)|~quiet(X))))&
(![X]:(humble(X)<=>(kind(X)<~>funny(X))))&
(![X]:((~quiet(X)|rich(X))=>(~strong(X)|quiet(X))))&
(![X]:(~funny(X)=>~strong(X)))&
(![X]:(kind(X)<=>(~generous(X)<~>funny(X))))&
(![X]:((patient(X)&~old(X))=>(curious(X)&happy(X))))&
(![X]:(curious(X)=>(kind(X)&strong(X))... | kind(fred) | [
"p1",
"p9",
"p10",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 485537869036317018513605
% SZS output start Proof for 485537869036317018513605
2. ! [X0] : (humble(X0) <=> (kind(X0) <~> funny(X0))) [input p1]
10. ! [X0] : ((~kind(X0) | kind(X0)) => (~strong(X0) & ~happy(X0))) [input p9]
11. ? [X0] : (~patient(X0) <~> ~calm(X0)) <=> (happy(lucy) & curio... | 0 |
Everyone who is funny or kind is kind and vice versa.
If someone is either happy or not old then someone is either not old or not brave and vice versa.
Everyone who is both not rich and tall is both kind and not quiet.
Everyone who is both wise and not happy is either curious or creative.
Everyone who is either rich or... | Alice is not wise. | neutral | (![X]:((funny(X)|kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>(curious(X)<~>creative(X))))&
(![X]:((rich(X)<~>~happy(X))=>(~old(X)<~>brave(X))))&
((?[X]:(~wise(X)))<=>((kind(lucy)<~>curious(lucy))))&... | ~wise(alice) | [] | null | 0 |
If susan is both calm and not humble then lucy is both not curious and not old. If john is either curious or not patient then someone is both not rich and tall and vice versa. If someone is not curious then susan is both not rich and brave and vice versa. Everyone who is not wise or not curious is not generous and vice... | Mary is not wise. | entailment | (((calm(susan)&~humble(susan)))=>((~curious(lucy)&~old(lucy))))&
(((curious(john)<~>~patient(john)))<=>(?[X]:((~rich(X)&tall(X)))))&
((?[X]:(~curious(X)))<=>((~rich(susan)&brave(susan))))&
(![X]:((~wise(X)|~curious(X))<=>~generous(X)))&
(((kind(paul)<~>~patient(paul)))<=>((~brave(lucy)|brave(lucy))))&
(![X]:((rich(X)|q... | ~wise(mary) | [
"p5",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3064804645266603102843447
% SZS output start Proof for 3064804645266603102843447
6. ! [X0] : ((quiet(X0) | rich(X0)) => (~happy(X0) <~> ~brave(X0))) [input p5]
10. ! [X0] : (funny(X0) => (~happy(X0) & patient(X0))) [input p9]
11. ! [X0] : (happy(X0) => funny(X0)) [input p10]
13. ! [X0] : ... | 0 |
Everyone who is not patient or quiet is patient and vice versa. Everyone who is strong or not old is not funny and vice versa. Everyone who is not calm or happy is curious or generous and vice versa. If alice is generous or not quiet then someone is not happy and vice versa. Everyone who is both humble and not strong i... | Mary is not curious. | neutral | (![X]:((~patient(X)|quiet(X))<=>patient(X)))&
(![X]:((strong(X)|~old(X))<=>~funny(X)))&
(![X]:((~calm(X)|happy(X))<=>(curious(X)|generous(X))))&
(((generous(alice)|~quiet(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((humble(X)&~strong(X))<=>(~quiet(X)&~funny(X))))&
((?[X]:((~wise(X)<~>~creative(X))))<=>(?[X]:((~strong(X)<~>c... | ~curious(mary) | [] | null | 0 |
If someone is patient or generous then john is either wise or not strong and vice versa.
If someone is not kind or not patient then someone is not quiet.
If lucy is either funny or calm then someone is calm.
Everyone who is both not patient and patient is calm.
Everyone who is not happy is happy or wise.
Everyone who i... | Paul is not happy. | contradiction | ((?[X]:((patient(X)|generous(X))))<=>((wise(john)<~>~strong(john))))&
((?[X]:((~kind(X)|~patient(X))))=>(?[X]:(~quiet(X))))&
(((funny(lucy)<~>calm(lucy)))=>(?[X]:(calm(X))))&
(![X]:((~patient(X)&patient(X))=>calm(X)))&
(![X]:(~happy(X)=>(happy(X)|wise(X))))&
(![X]:((happy(X)<~>curious(X))=>(~patient(X)<~>~kind(X))))&
(... | ~happy(paul) | [
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2464990001769866548731667
% SZS output start Proof for 2464990001769866548731667
5. ! [X0] : (~happy(X0) => (wise(X0) | happy(X0))) [input p4]
22. happy(paul) <~> ~wise(paul) [input p21]
25. ~happy(paul) [input hypothesis]
33. ! [X0] : ((wise(X0) | happy(X0)) | happy(X0)) [ennf transforma... | 0 |
Everyone who is both not calm and generous is not old and vice versa.
If someone is not kind or tall then alice is either not calm or not patient and vice versa.
If alice is not old or not humble then someone is either not funny or humble.
If someone is both kind and curious then someone is either not funny or not quie... | Susan is not generous. | neutral | (![X]:((~calm(X)&generous(X))<=>~old(X)))&
((?[X]:((~kind(X)|tall(X))))<=>((~calm(alice)<~>~patient(alice))))&
(((~old(alice)|~humble(alice)))=>(?[X]:((~funny(X)<~>humble(X)))))&
((?[X]:((kind(X)&curious(X))))<=>(?[X]:((~funny(X)<~>~quiet(X)))))&
(![X]:(~rich(X)=>~wise(X)))&
(((calm(paul)&~patient(paul)))=>((~generous(... | ~generous(susan) | [] | null | 0 |
Everyone who is either not curious or not funny is both not tall and funny.
If someone is not wise or not kind then someone is not rich.
If someone is brave or curious then fred is either not happy or not brave.
If john is both patient and not funny then someone is not old or not tall and vice versa.
Everyone who is bo... | Susan is not creative. | neutral | (![X]:((~curious(X)<~>~funny(X))=>(~tall(X)&funny(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|curious(X))))=>((~happy(fred)<~>~brave(fred))))&
(((patient(john)&~funny(john)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]:((~brave(X)&happy(X))<=>(humble(X)|~tall(X))))&
(((brave(john)&generous(joh... | ~creative(susan) | [] | null | 0 |
If someone is not strong then someone is curious and vice versa.
Everyone who is not rich or brave is both calm and kind and vice versa.
Everyone who is not funny or not quiet is either not quiet or brave and vice versa.
If someone is both not rich and kind then fred is both tall and not calm and vice versa.
Everyone w... | John is tall. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:(curious(X))))&
(![X]:((~rich(X)|brave(X))<=>(calm(X)&kind(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(~quiet(X)<~>brave(X))))&
((?[X]:((~rich(X)&kind(X))))<=>((tall(fred)&~calm(fred))))&
(![X]:(~quiet(X)=>rich(X)))&
((?[X]:((~strong(X)|~quiet(X))))<=>(?[X]:((~old(X)|humble(X)))))&
((?[X]:((~cal... | tall(john) | [] | null | 0 |
Everyone who is both not quiet and patient is either strong or not old. Everyone who is rich is both old and wise and vice versa. Everyone who is not strong is either wise or quiet. Everyone who is humble is either not generous or curious. Everyone who is not curious or quiet is both not curious and quiet and vice vers... | John is not patient. | neutral | (![X]:((~quiet(X)&patient(X))=>(strong(X)<~>~old(X))))&
(![X]:(rich(X)<=>(old(X)&wise(X))))&
(![X]:(~strong(X)=>(wise(X)<~>quiet(X))))&
(![X]:(humble(X)=>(~generous(X)<~>curious(X))))&
(![X]:((~curious(X)|quiet(X))<=>(~curious(X)&quiet(X))))&
((?[X]:((humble(X)<~>~old(X))))=>(?[X]:((~happy(X)|happy(X)))))&
(![X]:(~funn... | ~patient(john) | [] | null | 0 |
If someone is not kind then paul is either not brave or patient and vice versa. If someone is both not quiet and strong then someone is not wise or humble. Everyone who is either not tall or not calm is either not brave or not creative and vice versa. If someone is not brave or kind then someone is not funny or brave a... | Lucy is not brave. | contradiction | ((?[X]:(~kind(X)))<=>((~brave(paul)<~>patient(paul))))&
((?[X]:((~quiet(X)&strong(X))))=>(?[X]:((~wise(X)|humble(X)))))&
(![X]:((~tall(X)<~>~calm(X))<=>(~brave(X)<~>~creative(X))))&
((?[X]:((~brave(X)|kind(X))))<=>(?[X]:((~funny(X)|brave(X)))))&
(![X]:((~funny(X)&brave(X))<=>(creative(X)|~brave(X))))&
(![X]:((~old(X)<~... | ~brave(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1444901883727187395910577
% SZS output start Proof for 1444901883727187395910577
5. ! [X0] : ((brave(X0) & ~funny(X0)) <=> (~brave(X0) | creative(X0))) [input p4]
22. ~brave(lucy) [input hypothesis]
46. ! [X0] : (((brave(X0) & ~funny(X0)) | (brave(X0) & ~creative(X0))) & ((~brave(X0) | cr... | 0 |
Everyone who is not curious or not quiet is both not tall and brave.
If fred is creative then someone is not old or quiet and vice versa.
If alice is strong or kind then fred is either humble or not quiet.
Everyone who is both curious and patient is not tall and vice versa.
Everyone who is both curious and not patient ... | Lucy is not curious. | contradiction | (![X]:((~curious(X)|~quiet(X))=>(~tall(X)&brave(X))))&
((creative(fred))<=>(?[X]:((~old(X)|quiet(X)))))&
(((strong(alice)|kind(alice)))=>((humble(fred)<~>~quiet(fred))))&
(![X]:((curious(X)&patient(X))<=>~tall(X)))&
(![X]:((curious(X)&~patient(X))=>(~humble(X)<~>happy(X))))&
(![X]:((~funny(X)|~happy(X))<=>(happy(X)<~>c... | ~curious(lucy) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 285012698004094654176796
% SZS output start Proof for 285012698004094654176796
1. ! [X0] : ((~quiet(X0) | ~curious(X0)) => (brave(X0) & ~tall(X0))) [input p0]
4. ! [X0] : ((patient(X0) & curious(X0)) <=> ~tall(X0)) [input p3]
24. ~curious(lucy) [input hypothesis]
26. ! [X0] : ((brave(X0) ... | 0 |
If paul is either kind or not calm then mary is creative.
If someone is funny or humble then fred is either not brave or rich and vice versa.
Everyone who is either curious or not calm is both not wise and not humble.
Everyone who is either not curious or rich is either quiet or not tall.
Everyone who is either not old... | John is not curious. | entailment | (((kind(paul)<~>~calm(paul)))=>(creative(mary)))&
((?[X]:((funny(X)|humble(X))))<=>((~brave(fred)<~>rich(fred))))&
(![X]:((curious(X)<~>~calm(X))=>(~wise(X)&~humble(X))))&
(![X]:((~curious(X)<~>rich(X))=>(quiet(X)<~>~tall(X))))&
(![X]:((~old(X)<~>strong(X))<=>(strong(X)<~>~wise(X))))&
(![X]:(curious(X)<=>(~generous(X)<... | ~curious(john) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7905074052340933082340252
% SZS output start Proof for 7905074052340933082340252
3. ! [X0] : ((curious(X0) <~> ~calm(X0)) => (~humble(X0) & ~wise(X0))) [input p2]
5. ! [X0] : ((~old(X0) <~> strong(X0)) <=> (strong(X0) <~> ~wise(X0))) [input p4]
6. ! [X0] : (curious(X0) <=> (~generous(X0) ... | 0 |
Everyone who is either humble or strong is calm and vice versa. Everyone who is both not quiet and quiet is not happy. Everyone who is curious is both calm and patient. Everyone who is not kind is brave. Everyone who is both not calm and rich is not happy or old and vice versa. If someone is not tall then someone is cr... | Alice is wise. | entailment | (![X]:((humble(X)<~>strong(X))<=>calm(X)))&
(![X]:((~quiet(X)&quiet(X))=>~happy(X)))&
(![X]:(curious(X)=>(calm(X)&patient(X))))&
(![X]:(~kind(X)=>brave(X)))&
(![X]:((~calm(X)&rich(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:((generous(X)<~>~funny(X))=>(~quiet(X)&curious(X))))... | wise(alice) | [
"p2",
"p4",
"p6",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5848453932426753950107000
% SZS output start Proof for 5848453932426753950107000
3. ! [X0] : (curious(X0) => (patient(X0) & calm(X0))) [input p2]
5. ! [X0] : ((rich(X0) & ~calm(X0)) <=> (old(X0) | ~happy(X0))) [input p4]
7. ! [X0] : ((generous(X0) <~> ~funny(X0)) => (curious(X0) & ~quiet(... | 0 |
If fred is both humble and not happy then fred is curious or rich.
If someone is either not strong or not old then john is either not funny or not kind and vice versa.
Everyone who is happy is both not calm and patient and vice versa.
If someone is not generous then someone is patient or not brave and vice versa.
If pa... | Paul is not happy. | entailment | (((humble(fred)&~happy(fred)))=>((curious(fred)|rich(fred))))&
((?[X]:((~strong(X)<~>~old(X))))<=>((~funny(john)<~>~kind(john))))&
(![X]:(happy(X)<=>(~calm(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((patient(X)|~brave(X)))))&
(((strong(paul)&~wise(paul)))<=>(?[X]:((creative(X)&~generous(X)))))&
((~calm(fred))<=>... | ~happy(paul) | [
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 145706659556809841947236
% SZS output start Proof for 145706659556809841947236
3. ! [X0] : (happy(X0) <=> (patient(X0) & ~calm(X0))) [input p2]
4. ? [X0] : ~generous(X0) <=> ? [X0] : (~brave(X0) | patient(X0)) [input p3]
11. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (tall(X0) & generous(X0))... | 0 |
If paul is not calm or not creative then john is both not kind and not quiet and vice versa.
If someone is not patient or not funny then someone is curious and vice versa.
Everyone who is either not generous or rich is both humble and rich.
Everyone who is not curious is quiet or not brave and vice versa.
If someone is... | John is tall. | contradiction | (((~calm(paul)|~creative(paul)))<=>((~kind(john)&~quiet(john))))&
((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:(curious(X))))&
(![X]:((~generous(X)<~>rich(X))=>(humble(X)&rich(X))))&
(![X]:(~curious(X)<=>(quiet(X)|~brave(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((~tall(X)|humble(X)))))&
((?[X]:((~curious(X)|~funny(X))))<=>((calm... | tall(john) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 371956709766825674359379
% SZS output start Proof for 371956709766825674359379
20. generous(john) & ~tall(john) [input p19]
25. tall(john) [input hypothesis]
155. ~tall(john) [cnf transformation 20]
162. tall(john) [cnf transformation 25]
268. 24 <=> tall(john) [avatar definition]
389. ~2... | 0 |
Everyone who is funny is curious.
If someone is not strong or wise then mary is both not happy and not creative.
If someone is either strong or rich then lucy is either strong or wise and vice versa.
Everyone who is not funny is rich or generous and vice versa.
If someone is quiet then someone is either wise or tall an... | Mary is not strong. | contradiction | (![X]:(funny(X)=>curious(X)))&
((?[X]:((~strong(X)|wise(X))))=>((~happy(mary)&~creative(mary))))&
((?[X]:((strong(X)<~>rich(X))))<=>((strong(lucy)<~>wise(lucy))))&
(![X]:(~funny(X)<=>(rich(X)|generous(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((wise(X)<~>tall(X)))))&
(![X]:((~funny(X)&~patient(X))<=>(kind(X)&~strong(X))))&
(![... | ~strong(mary) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8771568058504947338494176
% SZS output start Proof for 8771568058504947338494176
2. ? [X0] : (wise(X0) | ~strong(X0)) => (~creative(mary) & ~happy(mary)) [input p1]
20. creative(mary) & rich(mary) [input p19]
24. ~strong(mary) [input hypothesis]
27. (~creative(mary) & ~happy(mary)) | ! [X... | 0 |
If someone is funny or not brave then someone is generous or creative.
If alice is both not brave and not funny then someone is not patient and vice versa.
If alice is wise or creative then fred is both wise and kind.
Everyone who is happy or strong is both not strong and not curious.
If fred is humble or not funny the... | Alice is happy. | contradiction | ((?[X]:((funny(X)|~brave(X))))=>(?[X]:((generous(X)|creative(X)))))&
(((~brave(alice)&~funny(alice)))<=>(?[X]:(~patient(X))))&
(((wise(alice)|creative(alice)))=>((wise(fred)&kind(fred))))&
(![X]:((happy(X)|strong(X))=>(~strong(X)&~curious(X))))&
(((humble(fred)|~funny(fred)))=>(?[X]:((~brave(X)|generous(X)))))&
((~crea... | happy(alice) | [
"p3",
"p8",
"p9",
"p10",
"p11",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3954130119939258447646111
% SZS output start Proof for 3954130119939258447646111
4. ! [X0] : ((strong(X0) | happy(X0)) => (~curious(X0) & ~strong(X0))) [input p3]
9. ? [X0] : (~funny(X0) | strong(X0)) => (~funny(alice) & ~rich(alice)) [input p8]
10. ! [X0] : ((humble(X0) | wise(X0)) => pa... | 0 |
If susan is either kind or not creative then susan is not calm or generous and vice versa. If john is both curious and not generous then someone is both brave and not brave. Everyone who is either happy or humble is either generous or not patient. Everyone who is not old is not humble and vice versa. If fred is either ... | Mary is creative. | entailment | (((kind(susan)<~>~creative(susan)))<=>((~calm(susan)|generous(susan))))&
(((curious(john)&~generous(john)))=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((happy(X)<~>humble(X))=>(generous(X)<~>~patient(X))))&
(![X]:(~old(X)<=>~humble(X)))&
(((~funny(fred)<~>~kind(fred)))=>(?[X]:((calm(X)|tall(X)))))&
(![X]:(wise(X)=>(~strong... | creative(mary) | [
"p3",
"p5",
"p7",
"p8",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7185970471013236515788266
% SZS output start Proof for 7185970471013236515788266
4. ! [X0] : (~old(X0) <=> ~humble(X0)) [input p3]
6. ! [X0] : (wise(X0) => (rich(X0) | ~strong(X0))) [input p5]
8. ! [X0] : ((~kind(X0) <~> ~creative(X0)) <=> (~humble(X0) <~> ~strong(X0))) [input p7]
9. ! [X... | 0 |
If someone is both not calm and not happy then mary is calm.
Everyone who is either not calm or creative is both not calm and not rich.
Everyone who is patient or not old is strong.
If paul is not curious or strong then fred is both not humble and funny and vice versa.
Everyone who is either not quiet or not wise is br... | Alice is curious. | neutral | ((?[X]:((~calm(X)&~happy(X))))=>(calm(mary)))&
(![X]:((~calm(X)<~>creative(X))=>(~calm(X)&~rich(X))))&
(![X]:((patient(X)|~old(X))=>strong(X)))&
(((~curious(paul)|strong(paul)))<=>((~humble(fred)&funny(fred))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(brave(X)|old(X))))&
((?[X]:((~patient(X)|calm(X))))<=>((~brave(susan)<~>hum... | curious(alice) | [] | null | 0 |
Everyone who is both not funny and creative is patient. Everyone who is both happy and curious is not tall and vice versa. If someone is generous or tall then alice is not quiet or rich and vice versa. If susan is either not generous or kind then susan is not brave or old. Everyone who is either rich or brave is either... | Lucy is funny. | entailment | (![X]:((~funny(X)&creative(X))=>patient(X)))&
(![X]:((happy(X)&curious(X))<=>~tall(X)))&
((?[X]:((generous(X)|tall(X))))<=>((~quiet(alice)|rich(alice))))&
(((~generous(susan)<~>kind(susan)))=>((~brave(susan)|old(susan))))&
(![X]:((rich(X)<~>brave(X))<=>(curious(X)<~>~funny(X))))&
((tall(susan))=>(?[X]:(~patient(X))))&
... | funny(lucy) | [
"p1",
"p4",
"p6",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7506336544275878895877591
% SZS output start Proof for 7506336544275878895877591
2. ! [X0] : ((curious(X0) & happy(X0)) <=> ~tall(X0)) [input p1]
5. ! [X0] : ((rich(X0) <~> brave(X0)) <=> (curious(X0) <~> ~funny(X0))) [input p4]
7. (kind(susan) & ~tall(susan)) <=> ? [X0] : (calm(X0) & qui... | 0 |
If mary is either creative or wise then fred is either kind or not quiet. If someone is both not tall and kind then fred is either funny or creative and vice versa. Everyone who is both happy and quiet is not calm and vice versa. If susan is quiet or not strong then susan is both not happy and tall and vice versa. Ever... | Mary is not brave. | neutral | (((creative(mary)<~>wise(mary)))=>((kind(fred)<~>~quiet(fred))))&
((?[X]:((~tall(X)&kind(X))))<=>((funny(fred)<~>creative(fred))))&
(![X]:((happy(X)&quiet(X))<=>~calm(X)))&
(((quiet(susan)|~strong(susan)))<=>((~happy(susan)&tall(susan))))&
(![X]:(~curious(X)=>(kind(X)<~>brave(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(~crea... | ~brave(mary) | [] | null | 0 |
Everyone who is both quiet and calm is either not quiet or not calm and vice versa. If someone is rich or tall then someone is both not funny and quiet and vice versa. Everyone who is not strong is not tall and vice versa. Everyone who is both strong and funny is either wise or not kind and vice versa. If mary is creat... | Alice is not kind. | neutral | (![X]:((quiet(X)&calm(X))<=>(~quiet(X)<~>~calm(X))))&
((?[X]:((rich(X)|tall(X))))<=>(?[X]:((~funny(X)&quiet(X)))))&
(![X]:(~strong(X)<=>~tall(X)))&
(![X]:((strong(X)&funny(X))<=>(wise(X)<~>~kind(X))))&
(((creative(mary)|~kind(mary)))<=>((curious(susan)|~happy(susan))))&
(![X]:(~curious(X)=>(~wise(X)&creative(X))))&
((?... | ~kind(alice) | [] | null | 0 |
Everyone who is both not kind and not patient is either creative or old.
Everyone who is both tall and not wise is both not funny and wise and vice versa.
Everyone who is either wise or not brave is both not kind and not old and vice versa.
If john is not calm or not generous then someone is either strong or brave.
If ... | John is strong. | neutral | (![X]:((~kind(X)&~patient(X))=>(creative(X)<~>old(X))))&
(![X]:((tall(X)&~wise(X))<=>(~funny(X)&wise(X))))&
(![X]:((wise(X)<~>~brave(X))<=>(~kind(X)&~old(X))))&
(((~calm(john)|~generous(john)))=>(?[X]:((strong(X)<~>brave(X)))))&
(((~brave(lucy)|~happy(lucy)))=>(~happy(fred)))&
(((rich(susan)&~old(susan)))<=>((~rich(sus... | strong(john) | [] | null | 0 |
If fred is both not tall and not wise then lucy is both humble and patient and vice versa. Everyone who is either strong or not rich is both not quiet and happy and vice versa. If someone is either not patient or not tall then fred is humble or not tall and vice versa. Everyone who is both kind and curious is both not ... | Paul is strong. | neutral | (((~tall(fred)&~wise(fred)))<=>((humble(lucy)&patient(lucy))))&
(![X]:((strong(X)<~>~rich(X))<=>(~quiet(X)&happy(X))))&
((?[X]:((~patient(X)<~>~tall(X))))<=>((humble(fred)|~tall(fred))))&
(![X]:((kind(X)&curious(X))<=>(~wise(X)&~kind(X))))&
((?[X]:((~brave(X)&~humble(X))))=>(~humble(paul)))&
((generous(lucy))=>(?[X]:((... | strong(paul) | [] | null | 0 |
If someone is quiet then lucy is both not rich and funny and vice versa.
If john is kind then someone is both funny and kind.
Everyone who is humble is not brave.
Everyone who is either curious or not quiet is either quiet or happy and vice versa.
If john is creative then paul is not funny or not brave and vice versa.
... | Alice is happy. | contradiction | ((?[X]:(quiet(X)))<=>((~rich(lucy)&funny(lucy))))&
((kind(john))=>(?[X]:((funny(X)&kind(X)))))&
(![X]:(humble(X)=>~brave(X)))&
(![X]:((curious(X)<~>~quiet(X))<=>(quiet(X)<~>happy(X))))&
((creative(john))<=>((~funny(paul)|~brave(paul))))&
(![X]:((~old(X)<~>tall(X))=>(rich(X)|wise(X))))&
(![X]:((~generous(X)&patient(X))=... | happy(alice) | [
"p2",
"p3",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3049884138689299812403868
% SZS output start Proof for 3049884138689299812403868
3. ! [X0] : (humble(X0) => ~brave(X0)) [input p2]
4. ! [X0] : ((curious(X0) <~> ~quiet(X0)) <=> (quiet(X0) <~> happy(X0))) [input p3]
13. ! [X0] : ((old(X0) | ~humble(X0)) => curious(X0)) [input p12]
16. ? [X... | 0 |
Everyone who is not quiet is either funny or creative and vice versa.
Everyone who is creative is either not strong or not patient.
If someone is either quiet or not creative then someone is both calm and curious and vice versa.
Everyone who is kind is both not funny and calm and vice versa.
If fred is not rich or humb... | Fred is not kind. | entailment | (![X]:(~quiet(X)<=>(funny(X)<~>creative(X))))&
(![X]:(creative(X)=>(~strong(X)<~>~patient(X))))&
((?[X]:((quiet(X)<~>~creative(X))))<=>(?[X]:((calm(X)&curious(X)))))&
(![X]:(kind(X)<=>(~funny(X)&calm(X))))&
(((~rich(fred)|humble(fred)))=>(?[X]:((~humble(X)&humble(X)))))&
(![X]:((~funny(X)&~calm(X))=>(old(X)&~wise(X))))... | ~kind(fred) | [
"p0",
"p3",
"p4",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8706027490216840530107120
% SZS output start Proof for 8706027490216840530107120
1. ! [X0] : (~quiet(X0) <=> (funny(X0) <~> creative(X0))) [input p0]
4. ! [X0] : (kind(X0) <=> (calm(X0) & ~funny(X0))) [input p3]
5. (humble(fred) | ~rich(fred)) => ? [X0] : (humble(X0) & ~humble(X0)) [input... | 0 |
If mary is both not kind and not happy then someone is wise. Everyone who is either not tall or not patient is either not curious or not old. If alice is either funny or brave then someone is not creative or generous and vice versa. If susan is calm or not patient then paul is both not curious and calm. Everyone who is... | Mary is calm. | neutral | (((~kind(mary)&~happy(mary)))=>(?[X]:(wise(X))))&
(![X]:((~tall(X)<~>~patient(X))=>(~curious(X)<~>~old(X))))&
(((funny(alice)<~>brave(alice)))<=>(?[X]:((~creative(X)|generous(X)))))&
(((calm(susan)|~patient(susan)))=>((~curious(paul)&calm(paul))))&
(![X]:((~wise(X)<~>calm(X))<=>~calm(X)))&
(((~wise(alice)<~>calm(alice)... | calm(mary) | [] | null | 0 |
If someone is not happy then someone is not old or rich.
Everyone who is brave or rich is not calm.
Everyone who is generous or not humble is humble or not humble and vice versa.
If lucy is not happy then someone is not creative.
Everyone who is both humble and not tall is wise.
If someone is not calm or not tall then ... | Lucy is not funny. | entailment | ((?[X]:(~happy(X)))=>(?[X]:((~old(X)|rich(X)))))&
(![X]:((brave(X)|rich(X))=>~calm(X)))&
(![X]:((generous(X)|~humble(X))<=>(humble(X)|~humble(X))))&
((~happy(lucy))=>(?[X]:(~creative(X))))&
(![X]:((humble(X)&~tall(X))=>wise(X)))&
((?[X]:((~calm(X)|~tall(X))))<=>(?[X]:((brave(X)<~>rich(X)))))&
(![X]:(~brave(X)=>(~genero... | ~funny(lucy) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5370992815203511139621614
% SZS output start Proof for 5370992815203511139621614
18. ~strong(lucy) & ~funny(lucy) [input p17]
25. funny(lucy) [input hypothesis]
139. ~funny(lucy) [cnf transformation 18]
149. funny(lucy) [cnf transformation 25]
366. $false [subsumption resolution 149,139]
... | 0 |
Everyone who is funny is kind or not kind and vice versa.
If paul is either curious or not brave then someone is both not kind and not funny and vice versa.
Everyone who is either patient or brave is funny or calm and vice versa.
If lucy is either generous or not patient then someone is both humble and tall and vice ve... | John is not rich. | neutral | (![X]:(funny(X)<=>(kind(X)|~kind(X))))&
(((curious(paul)<~>~brave(paul)))<=>(?[X]:((~kind(X)&~funny(X)))))&
(![X]:((patient(X)<~>brave(X))<=>(funny(X)|calm(X))))&
(((generous(lucy)<~>~patient(lucy)))<=>(?[X]:((humble(X)&tall(X)))))&
(![X]:((patient(X)|wise(X))<=>quiet(X)))&
(![X]:(wise(X)=>(creative(X)<~>~funny(X))))&
... | ~rich(john) | [] | null | 0 |
Everyone who is either not quiet or kind is both not humble and not happy.
Everyone who is rich or creative is both generous and not quiet and vice versa.
If someone is either patient or creative then alice is both generous and not patient.
If paul is either not old or not tall then paul is both not wise and not calm a... | Lucy is strong. | contradiction | (![X]:((~quiet(X)<~>kind(X))=>(~humble(X)&~happy(X))))&
(![X]:((rich(X)|creative(X))<=>(generous(X)&~quiet(X))))&
((?[X]:((patient(X)<~>creative(X))))=>((generous(alice)&~patient(alice))))&
(((~old(paul)<~>~tall(paul)))<=>((~wise(paul)&~calm(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((brave(X)|~strong(X)))))&
((strong(mary... | strong(lucy) | [
"p8",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3648667285770813268361157
% SZS output start Proof for 3648667285770813268361157
9. ! [X0] : ((curious(X0) <~> ~calm(X0)) <=> (~patient(X0) & ~brave(X0))) [input p8]
11. ! [X0] : ((brave(X0) & ~strong(X0)) <=> (~calm(X0) | ~old(X0))) [input p10]
14. ! [X0] : ((~rich(X0) | rich(X0)) => (ge... | 0 |
Everyone who is not humble is either happy or not kind and vice versa.
Everyone who is either happy or quiet is not happy or not strong.
If fred is generous or not funny then someone is not creative or not rich.
Everyone who is not old or not kind is either brave or not tall and vice versa.
Everyone who is brave or qui... | Mary is not old. | entailment | (![X]:(~humble(X)<=>(happy(X)<~>~kind(X))))&
(![X]:((happy(X)<~>quiet(X))=>(~happy(X)|~strong(X))))&
(((generous(fred)|~funny(fred)))=>(?[X]:((~creative(X)|~rich(X)))))&
(![X]:((~old(X)|~kind(X))<=>(brave(X)<~>~tall(X))))&
(![X]:((brave(X)|quiet(X))<=>(~strong(X)<~>brave(X))))&
(![X]:((rich(X)&~wise(X))=>(generous(X)|~... | ~old(mary) | [
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1249027987482771031499702
% SZS output start Proof for 1249027987482771031499702
15. ? [X0] : old(X0) <=> kind(alice) [input p14]
21. ~kind(alice) [input p20]
25. old(mary) [input hypothesis]
66. (? [X0] : old(X0) | ~kind(alice)) & (kind(alice) | ! [X0] : ~old(X0)) [nnf transformation 15]... | 0 |
Everyone who is either creative or kind is either humble or not rich.
Everyone who is either wise or humble is either not quiet or humble.
Everyone who is patient or not wise is strong or brave.
If someone is quiet then fred is either kind or tall and vice versa.
If someone is happy then mary is happy or generous and v... | Fred is not kind. | contradiction | (![X]:((creative(X)<~>kind(X))=>(humble(X)<~>~rich(X))))&
(![X]:((wise(X)<~>humble(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((patient(X)|~wise(X))=>(strong(X)|brave(X))))&
((?[X]:(quiet(X)))<=>((kind(fred)<~>tall(fred))))&
((?[X]:(happy(X)))<=>((happy(mary)|generous(mary))))&
(![X]:((~funny(X)<~>~humble(X))=>(~tall(X)&tal... | ~kind(fred) | [
"p3",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 180402829434395035682870
% SZS output start Proof for 180402829434395035682870
4. ? [X0] : quiet(X0) <=> (kind(fred) <~> tall(fred)) [input p3]
13. ! [X0] : ((kind(X0) <~> ~quiet(X0)) => (~strong(X0) & generous(X0))) [input p12]
14. ! [X0] : (tall(X0) => (kind(X0) | ~strong(X0))) [input p... | 0 |
Everyone who is quiet is either not creative or not old.
If someone is either brave or rich then mary is tall or not calm.
If someone is not quiet or not brave then someone is creative or not curious and vice versa.
If someone is both happy and funny then someone is both tall and rich.
If someone is patient then lucy i... | Lucy is happy. | contradiction | (![X]:(quiet(X)=>(~creative(X)<~>~old(X))))&
((?[X]:((brave(X)<~>rich(X))))=>((tall(mary)|~calm(mary))))&
((?[X]:((~quiet(X)|~brave(X))))<=>(?[X]:((creative(X)|~curious(X)))))&
((?[X]:((happy(X)&funny(X))))=>(?[X]:((tall(X)&rich(X)))))&
((?[X]:(patient(X)))<=>(happy(lucy)))&
(![X]:((~creative(X)<~>~brave(X))=>(happy(X)... | happy(lucy) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8438225039382383439209490
% SZS output start Proof for 8438225039382383439209490
5. ? [X0] : patient(X0) <=> happy(lucy) [input p4]
10. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (calm(X0) | patient(X0))) [input p9]
23. happy(lucy) [input hypothesis]
45. (? [X0] : patient(X0) | ~happy(lucy... | 0 |
If fred is brave or not kind then someone is both calm and not brave.
If fred is both humble and not quiet then someone is not funny or not humble and vice versa.
Everyone who is both not funny and not humble is either not brave or not tall and vice versa.
Everyone who is strong or not humble is both not curious and ha... | John is not tall. | entailment | (((brave(fred)|~kind(fred)))=>(?[X]:((calm(X)&~brave(X)))))&
(((humble(fred)&~quiet(fred)))<=>(?[X]:((~funny(X)|~humble(X)))))&
(![X]:((~funny(X)&~humble(X))<=>(~brave(X)<~>~tall(X))))&
(![X]:((strong(X)|~humble(X))=>(~curious(X)&happy(X))))&
(![X]:((~rich(X)&~tall(X))=>~wise(X)))&
(![X]:(wise(X)<=>(strong(X)|~wise(X))... | ~tall(john) | [
"p2",
"p5",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6628456083703559609911653
% SZS output start Proof for 6628456083703559609911653
3. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (~brave(X0) <~> ~tall(X0))) [input p2]
6. ! [X0] : (wise(X0) <=> (~wise(X0) | strong(X0))) [input p5]
7. ? [X0] : (funny(X0) | humble(X0)) <=> (~wise(john) <~> ~old... | 0 |
If someone is not brave then someone is tall or not rich.
Everyone who is both not curious and patient is both patient and curious and vice versa.
If paul is not happy or not curious then someone is either not funny or strong.
Everyone who is either not creative or not generous is not strong or generous.
Everyone who i... | Paul is not calm. | neutral | ((?[X]:(~brave(X)))=>(?[X]:((tall(X)|~rich(X)))))&
(![X]:((~curious(X)&patient(X))<=>(patient(X)&curious(X))))&
(((~happy(paul)|~curious(paul)))=>(?[X]:((~funny(X)<~>strong(X)))))&
(![X]:((~creative(X)<~>~generous(X))=>(~strong(X)|generous(X))))&
(![X]:((brave(X)<~>~wise(X))=>(~kind(X)|funny(X))))&
(![X]:((strong(X)|fu... | ~calm(paul) | [] | null | 0 |
If paul is both not tall and not rich then susan is both happy and not curious and vice versa.
Everyone who is patient or not strong is generous or happy.
If someone is either rich or generous then alice is both rich and not tall and vice versa.
If someone is not wise or calm then someone is either not rich or not stro... | Fred is rich. | contradiction | (((~tall(paul)&~rich(paul)))<=>((happy(susan)&~curious(susan))))&
(![X]:((patient(X)|~strong(X))=>(generous(X)|happy(X))))&
((?[X]:((rich(X)<~>generous(X))))<=>((rich(alice)&~tall(alice))))&
((?[X]:((~wise(X)|calm(X))))=>(?[X]:((~rich(X)<~>~strong(X)))))&
(((~calm(fred)|~brave(fred)))<=>(?[X]:((quiet(X)<~>~brave(X)))))... | rich(fred) | [
"p2",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 896420122222312209320204
% SZS output start Proof for 896420122222312209320204
3. ? [X0] : (rich(X0) <~> generous(X0)) <=> (~tall(alice) & rich(alice)) [input p2]
12. ! [X0] : ((brave(X0) & generous(X0)) <=> (~happy(X0) & ~brave(X0))) [input p11]
13. ! [X0] : ((~generous(X0) & ~rich(X0)) ... | 0 |
If paul is either not quiet or not kind then someone is either old or rich. Everyone who is rich is not calm. If someone is both patient and not curious then someone is not calm or not happy and vice versa. If someone is rich then lucy is both funny and not quiet and vice versa. Everyone who is tall is not humble or ta... | Mary is funny. | neutral | (((~quiet(paul)<~>~kind(paul)))=>(?[X]:((old(X)<~>rich(X)))))&
(![X]:(rich(X)=>~calm(X)))&
((?[X]:((patient(X)&~curious(X))))<=>(?[X]:((~calm(X)|~happy(X)))))&
((?[X]:(rich(X)))<=>((funny(lucy)&~quiet(lucy))))&
(![X]:(tall(X)=>(~humble(X)|tall(X))))&
(![X]:((~calm(X)|~tall(X))=>(tall(X)|generous(X))))&
((?[X]:((quiet(X... | funny(mary) | [] | null | 0 |
Everyone who is not brave or curious is either not wise or not generous.
Everyone who is not patient or brave is not brave.
Everyone who is kind or creative is both old and not old and vice versa.
If john is not generous or not creative then mary is calm or funny and vice versa.
Everyone who is both patient and not kin... | Susan is not humble. | neutral | (![X]:((~brave(X)|curious(X))=>(~wise(X)<~>~generous(X))))&
(![X]:((~patient(X)|brave(X))=>~brave(X)))&
(![X]:((kind(X)|creative(X))<=>(old(X)&~old(X))))&
(((~generous(john)|~creative(john)))<=>((calm(mary)|funny(mary))))&
(![X]:((patient(X)&~kind(X))=>(brave(X)<~>strong(X))))&
((~happy(paul))=>(?[X]:((tall(X)&~brave(X... | ~humble(susan) | [] | null | 0 |
Everyone who is not tall is both old and brave.
Everyone who is both creative and not old is either calm or not kind and vice versa.
If someone is strong then someone is not creative.
Everyone who is old or not tall is both not kind and not generous and vice versa.
If lucy is quiet or not quiet then susan is both kind ... | Fred is not wise. | entailment | (![X]:(~tall(X)=>(old(X)&brave(X))))&
(![X]:((creative(X)&~old(X))<=>(calm(X)<~>~kind(X))))&
((?[X]:(strong(X)))=>(?[X]:(~creative(X))))&
(![X]:((old(X)|~tall(X))<=>(~kind(X)&~generous(X))))&
(((quiet(lucy)|~quiet(lucy)))<=>((kind(susan)&generous(susan))))&
(![X]:((~tall(X)<~>humble(X))<=>(~wise(X)<~>strong(X))))&
(![X... | ~wise(fred) | [
"p0",
"p1",
"p3",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4416393885923155042122101
% SZS output start Proof for 4416393885923155042122101
1. ! [X0] : (~tall(X0) => (brave(X0) & old(X0))) [input p0]
2. ! [X0] : ((~old(X0) & creative(X0)) <=> (calm(X0) <~> ~kind(X0))) [input p1]
4. ! [X0] : ((~tall(X0) | old(X0)) <=> (~generous(X0) & ~kind(X0))) ... | 0 |
Everyone who is generous or not patient is both not patient and old.
If someone is either calm or quiet then someone is both not old and happy.
Everyone who is wise or tall is humble and vice versa.
If someone is not tall then someone is old or calm and vice versa.
If someone is either generous or happy then someone is... | John is not generous. | entailment | (![X]:((generous(X)|~patient(X))=>(~patient(X)&old(X))))&
((?[X]:((calm(X)<~>quiet(X))))=>(?[X]:((~old(X)&happy(X)))))&
(![X]:((wise(X)|tall(X))<=>humble(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((old(X)|calm(X)))))&
((?[X]:((generous(X)<~>happy(X))))=>(?[X]:((strong(X)<~>creative(X)))))&
(![X]:(~old(X)<=>(kind(X)|~rich(X))))&... | ~generous(john) | [
"p0",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 495158429224697394119861
% SZS output start Proof for 495158429224697394119861
1. ! [X0] : ((~patient(X0) | generous(X0)) => (old(X0) & ~patient(X0))) [input p0]
8. ! [X0] : (patient(X0) <=> ~rich(X0)) [input p7]
16. ! [X0] : ((~wise(X0) <~> rich(X0)) <=> (~generous(X0) <~> ~wise(X0))) [i... | 0 |
If lucy is either not tall or not calm then lucy is either not creative or rich. If someone is not generous then paul is both generous and not happy and vice versa. Everyone who is both creative and not old is either not calm or not curious and vice versa. Everyone who is not wise is brave or not kind and vice versa. I... | Fred is not tall. | neutral | (((~tall(lucy)<~>~calm(lucy)))=>((~creative(lucy)<~>rich(lucy))))&
((?[X]:(~generous(X)))<=>((generous(paul)&~happy(paul))))&
(![X]:((creative(X)&~old(X))<=>(~calm(X)<~>~curious(X))))&
(![X]:(~wise(X)<=>(brave(X)|~kind(X))))&
((?[X]:((brave(X)|wise(X))))=>(?[X]:((~curious(X)|~brave(X)))))&
(![X]:((calm(X)&kind(X))=>(ol... | ~tall(fred) | [] | null | 0 |
If susan is either generous or not rich then alice is both brave and not kind.
Everyone who is both calm and old is not generous or not patient and vice versa.
If someone is kind or strong then paul is curious.
Everyone who is not strong is not generous or not calm.
Everyone who is either not rich or wise is both not w... | Alice is kind. | contradiction | (((generous(susan)<~>~rich(susan)))=>((brave(alice)&~kind(alice))))&
(![X]:((calm(X)&old(X))<=>(~generous(X)|~patient(X))))&
((?[X]:((kind(X)|strong(X))))=>(curious(paul)))&
(![X]:(~strong(X)=>(~generous(X)|~calm(X))))&
(![X]:((~rich(X)<~>wise(X))<=>(~wise(X)&~happy(X))))&
(![X]:((generous(X)|wise(X))<=>~generous(X)))&... | kind(alice) | [
"p1",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 9004022440956287888676534
% SZS output start Proof for 9004022440956287888676534
2. ! [X0] : ((old(X0) & calm(X0)) <=> (~patient(X0) | ~generous(X0))) [input p1]
6. ! [X0] : ((wise(X0) | generous(X0)) <=> ~generous(X0)) [input p5]
11. ! [X0] : ((~quiet(X0) | kind(X0)) => (~calm(X0) & brav... | 0 |
If someone is both kind and not curious then someone is both not wise and not calm and vice versa. If paul is generous or humble then mary is either not generous or calm. If someone is not funny or not kind then mary is not humble or not tall and vice versa. If someone is tall then someone is either not tall or not qui... | Mary is old. | entailment | ((?[X]:((kind(X)&~curious(X))))<=>(?[X]:((~wise(X)&~calm(X)))))&
(((generous(paul)|humble(paul)))=>((~generous(mary)<~>calm(mary))))&
((?[X]:((~funny(X)|~kind(X))))<=>((~humble(mary)|~tall(mary))))&
((?[X]:(tall(X)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((~curious(X)&creative(X))=>(calm(X)<~>funny(X))))&
(![X]:((h... | old(mary) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6825118851933364448850765
% SZS output start Proof for 6825118851933364448850765
6. ! [X0] : ((~humble(X0) & happy(X0)) <=> (~old(X0) & humble(X0))) [input p5]
12. ! [X0] : ((creative(X0) | ~old(X0)) => humble(X0)) [input p11]
25. ~old(mary) [input hypothesis]
39. ! [X0] : (humble(X0) | (... | 0 |
Everyone who is either not brave or funny is not quiet and vice versa.
Everyone who is not happy or kind is either creative or happy.
Everyone who is either curious or brave is not old or not generous and vice versa.
Everyone who is kind or humble is not curious and vice versa.
If someone is not curious then mary is bo... | John is curious. | contradiction | (![X]:((~brave(X)<~>funny(X))<=>~quiet(X)))&
(![X]:((~happy(X)|kind(X))=>(creative(X)<~>happy(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~old(X)|~generous(X))))&
(![X]:((kind(X)|humble(X))<=>~curious(X)))&
((?[X]:(~curious(X)))<=>((creative(mary)&kind(mary))))&
((patient(paul))<=>(humble(john)))&
(![X]:((~funny(X)<~>~bra... | curious(john) | [
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6548938467781863393619469
% SZS output start Proof for 6548938467781863393619469
4. ! [X0] : ((humble(X0) | kind(X0)) <=> ~curious(X0)) [input p3]
17. humble(john) [input p16]
22. curious(john) [input hypothesis]
34. ! [X0] : (((humble(X0) | kind(X0)) | curious(X0)) & (~curious(X0) | (~hu... | 0 |
Everyone who is humble or curious is both patient and wise and vice versa.
Everyone who is either generous or not wise is either strong or funny and vice versa.
Everyone who is either not brave or not tall is not brave.
If john is either humble or quiet then susan is rich or not old.
Everyone who is not brave or not hu... | John is not wise. | contradiction | (![X]:((humble(X)|curious(X))<=>(patient(X)&wise(X))))&
(![X]:((generous(X)<~>~wise(X))<=>(strong(X)<~>funny(X))))&
(![X]:((~brave(X)<~>~tall(X))=>~brave(X)))&
(((humble(john)<~>quiet(john)))=>((rich(susan)|~old(susan))))&
(![X]:((~brave(X)|~humble(X))=>(tall(X)|happy(X))))&
(![X]:(brave(X)=>(brave(X)<~>~rich(X))))&
((... | ~wise(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 730104209802542374367390
% SZS output start Proof for 730104209802542374367390
10. ! [X0] : (~wise(X0) <=> (wise(X0) & tall(X0))) [input p9]
23. ~wise(john) [input hypothesis]
47. ! [X0] : ((~wise(X0) | (~wise(X0) | ~tall(X0))) & ((wise(X0) & tall(X0)) | wise(X0))) [nnf transformation 10]... | 0 |
If john is old or strong then fred is not curious or not happy.
If someone is patient or not tall then someone is brave.
If someone is quiet or rich then someone is both not curious and curious.
Everyone who is both not wise and not patient is wise and vice versa.
If john is not brave or not curious then lucy is both n... | Paul is not wise. | entailment | (((old(john)|strong(john)))=>((~curious(fred)|~happy(fred))))&
((?[X]:((patient(X)|~tall(X))))=>(?[X]:(brave(X))))&
((?[X]:((quiet(X)|rich(X))))=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:((~wise(X)&~patient(X))<=>wise(X)))&
(((~brave(john)|~curious(john)))=>((~creative(lucy)&quiet(lucy))))&
(![X]:((calm(X)<~>~rich(X))... | ~wise(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4103798620515064675569315
% SZS output start Proof for 4103798620515064675569315
4. ! [X0] : ((~patient(X0) & ~wise(X0)) <=> wise(X0)) [input p3]
25. wise(paul) [input hypothesis]
52. ! [X0] : (((~patient(X0) & ~wise(X0)) | ~wise(X0)) & (wise(X0) | (patient(X0) | wise(X0)))) [nnf transfor... | 0 |
Everyone who is both curious and strong is either not generous or humble and vice versa.
If susan is not creative then someone is both not old and not brave.
Everyone who is curious or strong is either not quiet or generous.
If someone is not old then someone is curious and vice versa.
If lucy is brave then alice is ei... | Paul is not happy. | contradiction | (![X]:((curious(X)&strong(X))<=>(~generous(X)<~>humble(X))))&
((~creative(susan))=>(?[X]:((~old(X)&~brave(X)))))&
(![X]:((curious(X)|strong(X))=>(~quiet(X)<~>generous(X))))&
((?[X]:(~old(X)))<=>(?[X]:(curious(X))))&
((brave(lucy))<=>((brave(alice)<~>funny(alice))))&
(![X]:((~tall(X)|humble(X))<=>(~generous(X)<~>~patien... | ~happy(paul) | [
"p2",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6610264832655432276486463
% SZS output start Proof for 6610264832655432276486463
3. ! [X0] : ((strong(X0) | curious(X0)) => (~quiet(X0) <~> generous(X0))) [input p2]
10. ! [X0] : ((strong(X0) & ~brave(X0)) <=> (generous(X0) | brave(X0))) [input p9]
15. ! [X0] : (~quiet(X0) <=> (~happy(X0)... | 0 |
If mary is patient or happy then paul is either not patient or not wise and vice versa.
Everyone who is not old or not generous is not creative and vice versa.
Everyone who is either not kind or calm is both not kind and not strong and vice versa.
Everyone who is tall is either wise or strong and vice versa.
If john is... | Mary is not generous. | entailment | (((patient(mary)|happy(mary)))<=>((~patient(paul)<~>~wise(paul))))&
(![X]:((~old(X)|~generous(X))<=>~creative(X)))&
(![X]:((~kind(X)<~>calm(X))<=>(~kind(X)&~strong(X))))&
(![X]:(tall(X)<=>(wise(X)<~>strong(X))))&
(((~curious(john)&rich(john)))<=>(?[X]:((~humble(X)&~old(X)))))&
((?[X]:((~tall(X)<~>~kind(X))))=>(~patient... | ~generous(mary) | [
"p1",
"p2",
"p8",
"p10",
"p11",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6877276552548945674613486
% SZS output start Proof for 6877276552548945674613486
2. ! [X0] : ((~generous(X0) | ~old(X0)) <=> ~creative(X0)) [input p1]
3. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (~strong(X0) & ~kind(X0))) [input p2]
9. ! [X0] : ((~patient(X0) | creative(X0)) <=> (tall(X0) <... | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.