premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is either curious or wise then someone is both not quiet and creative.
Everyone who is old is either not brave or rich and vice versa.
If someone is either funny or tall then someone is strong and vice versa.
If someone is rich then susan is either not curious or old.
Everyone who is not rich is brave or not... | Paul is tall. | neutral | ((?[X]:((curious(X)<~>wise(X))))=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:(old(X)<=>(~brave(X)<~>rich(X))))&
((?[X]:((funny(X)<~>tall(X))))<=>(?[X]:(strong(X))))&
((?[X]:(rich(X)))=>((~curious(susan)<~>old(susan))))&
(![X]:(~rich(X)<=>(brave(X)|~happy(X))))&
(![X]:(~quiet(X)<=>(~brave(X)&humble(X))))&
((?[X]:(~kind(X)... | tall(paul) | [] | null | 0 |
If fred is either not humble or tall then someone is patient and vice versa.
If someone is curious or not old then susan is both tall and not rich and vice versa.
If mary is not patient or not rich then paul is not creative.
If fred is tall then someone is kind or not tall.
Everyone who is both creative and not calm is... | Fred is wise. | entailment | (((~humble(fred)<~>tall(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((curious(X)|~old(X))))<=>((tall(susan)&~rich(susan))))&
(((~patient(mary)|~rich(mary)))=>(~creative(paul)))&
((tall(fred))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:((creative(X)&~calm(X))=>(tall(X)|~kind(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>((~patient(fred)&... | wise(fred) | [
"p5",
"p8",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5997310579648641035772877
% SZS output start Proof for 5997310579648641035772877
6. ? [X0] : (~old(X0) | ~quiet(X0)) <=> (~happy(fred) & ~patient(fred)) [input p5]
9. ~quiet(alice) <=> (rich(alice) | ~old(alice)) [input p8]
10. ! [X0] : (rich(X0) <=> (~tall(X0) | ~creative(X0))) [input p9... | 0 |
Everyone who is old is both quiet and brave.
Everyone who is both not wise and not generous is brave or patient.
If someone is not strong or not rich then someone is not calm.
Everyone who is not brave is wise.
If alice is old then someone is either rich or creative and vice versa.
If fred is not wise or tall then susa... | Lucy is not humble. | entailment | (![X]:(old(X)=>(quiet(X)&brave(X))))&
(![X]:((~wise(X)&~generous(X))=>(brave(X)|patient(X))))&
((?[X]:((~strong(X)|~rich(X))))=>(?[X]:(~calm(X))))&
(![X]:(~brave(X)=>wise(X)))&
((old(alice))<=>(?[X]:((rich(X)<~>creative(X)))))&
(((~wise(fred)|tall(fred)))<=>((generous(susan)<~>calm(susan))))&
(![X]:((~happy(X)<~>~curio... | ~humble(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6233723337522444934342106
% SZS output start Proof for 6233723337522444934342106
17. curious(lucy) & ~humble(lucy) [input p16]
25. humble(lucy) [input hypothesis]
132. ~humble(lucy) [cnf transformation 17]
143. humble(lucy) [cnf transformation 25]
358. $false [subsumption resolution 143,1... | 0 |
If someone is both tall and not brave then someone is not tall and vice versa.
If someone is either creative or not curious then someone is either not creative or wise.
Everyone who is both not kind and generous is rich.
Everyone who is either creative or not calm is both not kind and not wise and vice versa.
If someon... | Paul is rich. | neutral | ((?[X]:((tall(X)&~brave(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((creative(X)<~>~curious(X))))=>(?[X]:((~creative(X)<~>wise(X)))))&
(![X]:((~kind(X)&generous(X))=>rich(X)))&
(![X]:((creative(X)<~>~calm(X))<=>(~kind(X)&~wise(X))))&
((?[X]:(patient(X)))=>(?[X]:((~tall(X)&patient(X)))))&
(![X]:(funny(X)=>(happy(X)&creative(X))... | rich(paul) | [] | null | 0 |
If someone is either not quiet or creative then someone is both not rich and old.
If susan is not creative then someone is not quiet and vice versa.
If lucy is not brave or humble then someone is not generous.
If someone is either not patient or happy then john is creative and vice versa.
Everyone who is patient is not... | Lucy is kind. | contradiction | ((?[X]:((~quiet(X)<~>creative(X))))=>(?[X]:((~rich(X)&old(X)))))&
((~creative(susan))<=>(?[X]:(~quiet(X))))&
(((~brave(lucy)|humble(lucy)))=>(?[X]:(~generous(X))))&
((?[X]:((~patient(X)<~>happy(X))))<=>(creative(john)))&
(![X]:(patient(X)<=>(~curious(X)|~rich(X))))&
(![X]:((old(X)|~happy(X))=>(~funny(X)|~quiet(X))))&
(... | kind(lucy) | [
"p6",
"p7",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5369070208687902373799051
% SZS output start Proof for 5369070208687902373799051
7. ! [X0] : ((~wise(X0) | kind(X0)) <=> (~old(X0) & ~brave(X0))) [input p6]
8. ! [X0] : ((~brave(X0) & ~tall(X0)) <=> (tall(X0) | ~generous(X0))) [input p7]
11. ! [X0] : ((~brave(X0) <~> strong(X0)) => (quiet... | 0 |
If fred is tall then someone is either tall or creative and vice versa.
If lucy is not happy then someone is rich.
Everyone who is generous or not rich is either funny or not humble.
Everyone who is creative is either not creative or not calm and vice versa.
If lucy is both tall and not calm then john is either not tal... | Alice is not calm. | entailment | ((tall(fred))<=>(?[X]:((tall(X)<~>creative(X)))))&
((~happy(lucy))=>(?[X]:(rich(X))))&
(![X]:((generous(X)|~rich(X))=>(funny(X)<~>~humble(X))))&
(![X]:(creative(X)<=>(~creative(X)<~>~calm(X))))&
(((tall(lucy)&~calm(lucy)))=>((~tall(john)<~>quiet(john))))&
((?[X]:((wise(X)<~>~tall(X))))<=>(?[X]:((generous(X)&~funny(X)))... | ~calm(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2231297034593307975870734
% SZS output start Proof for 2231297034593307975870734
4. ! [X0] : (creative(X0) <=> (~creative(X0) <~> ~calm(X0))) [input p3]
23. calm(alice) [input hypothesis]
44. ! [X0] : ((creative(X0) | ((~creative(X0) | calm(X0)) & (~calm(X0) | creative(X0)))) & (((calm(X0... | 0 |
If fred is funny or brave then susan is generous or patient and vice versa. Everyone who is either not tall or not happy is either not humble or not happy. Everyone who is both curious and not curious is both funny and kind and vice versa. If someone is not calm then susan is not wise. If someone is not generous then s... | Lucy is not patient. | contradiction | (((funny(fred)|brave(fred)))<=>((generous(susan)|patient(susan))))&
(![X]:((~tall(X)<~>~happy(X))=>(~humble(X)<~>~happy(X))))&
(![X]:((curious(X)&~curious(X))<=>(funny(X)&kind(X))))&
((?[X]:(~calm(X)))=>(~wise(susan)))&
((?[X]:(~generous(X)))=>(?[X]:((~funny(X)|~curious(X)))))&
((?[X]:((~brave(X)&~rich(X))))=>(?[X]:((~... | ~patient(lucy) | [
"p6",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4881333285606062231593816
% SZS output start Proof for 4881333285606062231593816
7. ! [X0] : ((~calm(X0) & ~patient(X0)) => calm(X0)) [input p6]
11. (humble(lucy) | strong(lucy)) <=> (old(lucy) & funny(lucy)) [input p10]
16. ! [X0] : ((~humble(X0) | creative(X0)) <=> (~calm(X0) & ~strong(... | 0 |
Everyone who is either patient or generous is either old or funny. Everyone who is both rich and brave is patient or not wise. If someone is funny then someone is both not curious and generous and vice versa. Everyone who is both tall and calm is funny or not calm. Everyone who is either tall or calm is not happy and v... | Mary is not curious. | entailment | (![X]:((patient(X)<~>generous(X))=>(old(X)<~>funny(X))))&
(![X]:((rich(X)&brave(X))=>(patient(X)|~wise(X))))&
((?[X]:(funny(X)))<=>(?[X]:((~curious(X)&generous(X)))))&
(![X]:((tall(X)&calm(X))=>(funny(X)|~calm(X))))&
(![X]:((tall(X)<~>calm(X))<=>~happy(X)))&
(![X]:(happy(X)=>(happy(X)&quiet(X))))&
((?[X]:((happy(X)&~ha... | ~curious(mary) | [
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2670524690632325613766062
% SZS output start Proof for 2670524690632325613766062
9. (~tall(mary) | ~quiet(mary)) <=> (humble(fred) & generous(fred)) [input p8]
10. ! [X0] : ((calm(X0) | ~humble(X0)) <=> (~curious(X0) | rich(X0))) [input p9]
11. (~brave(lucy) & rich(lucy)) <=> ? [X0] : (hu... | 0 |
If someone is curious or not creative then fred is both not strong and brave and vice versa. If lucy is both rich and funny then paul is not humble or not generous. If lucy is both not calm and creative then john is not humble or not wise and vice versa. Everyone who is creative is not tall or not rich. If someone is p... | John is humble. | entailment | ((?[X]:((curious(X)|~creative(X))))<=>((~strong(fred)&brave(fred))))&
(((rich(lucy)&funny(lucy)))=>((~humble(paul)|~generous(paul))))&
(((~calm(lucy)&creative(lucy)))<=>((~humble(john)|~wise(john))))&
(![X]:(creative(X)=>(~tall(X)|~rich(X))))&
((?[X]:((patient(X)|~creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~brave(X)<... | humble(john) | [
"p5",
"p10",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4030153536658423835313925
% SZS output start Proof for 4030153536658423835313925
6. ! [X0] : ((~brave(X0) <~> ~funny(X0)) <=> ~brave(X0)) [input p5]
11. ! [X0] : ((~wise(X0) <~> humble(X0)) <=> (wise(X0) | ~generous(X0))) [input p10]
15. ! [X0] : ((~creative(X0) | funny(X0)) <=> ~old(X0))... | 0 |
If someone is brave then someone is both not patient and creative and vice versa. Everyone who is generous is both tall and not tall and vice versa. If john is not old or creative then mary is not tall or not quiet. Everyone who is both brave and wise is both not humble and not generous and vice versa. If fred is eithe... | Susan is not generous. | entailment | ((?[X]:(brave(X)))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:(generous(X)<=>(tall(X)&~tall(X))))&
(((~old(john)|creative(john)))=>((~tall(mary)|~quiet(mary))))&
(![X]:((brave(X)&wise(X))<=>(~humble(X)&~generous(X))))&
(((rich(fred)<~>creative(fred)))<=>(?[X]:((curious(X)<~>~generous(X)))))&
(![X]:((curious(X)&wise(X... | ~generous(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8360647539390876204205493
% SZS output start Proof for 8360647539390876204205493
2. ! [X0] : (generous(X0) <=> (~tall(X0) & tall(X0))) [input p1]
25. generous(susan) [input hypothesis]
38. ! [X0] : ((generous(X0) | (tall(X0) | ~tall(X0))) & ((~tall(X0) & tall(X0)) | ~generous(X0))) [nnf t... | 0 |
Everyone who is calm is not humble and vice versa. Everyone who is curious is not calm and vice versa. Everyone who is both not calm and humble is either calm or not old and vice versa. Everyone who is either calm or tall is either not patient or not kind and vice versa. Everyone who is funny or quiet is not kind and v... | Paul is not calm. | entailment | (![X]:(calm(X)<=>~humble(X)))&
(![X]:(curious(X)<=>~calm(X)))&
(![X]:((~calm(X)&humble(X))<=>(calm(X)<~>~old(X))))&
(![X]:((calm(X)<~>tall(X))<=>(~patient(X)<~>~kind(X))))&
(![X]:((funny(X)|quiet(X))<=>~kind(X)))&
((?[X]:((~humble(X)|~quiet(X))))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:((tall(X)|~curious(X))=>(~patie... | ~calm(paul) | [
"p0",
"p1",
"p2",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7335425515764971116408608
% SZS output start Proof for 7335425515764971116408608
1. ! [X0] : (calm(X0) <=> ~humble(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> ~calm(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (calm(X0) <~> ~old(X0))) [input p2]
7. ! [X0] : ((~curious(X0) | ... | 0 |
If someone is funny then lucy is kind or not patient.
If john is not curious then someone is both not happy and old.
Everyone who is both curious and tall is patient and vice versa.
Everyone who is either humble or patient is happy.
If someone is not creative or not quiet then someone is old.
If fred is not strong or n... | Fred is not quiet. | contradiction | ((?[X]:(funny(X)))=>((kind(lucy)|~patient(lucy))))&
((~curious(john))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:((curious(X)&tall(X))<=>patient(X)))&
(![X]:((humble(X)<~>patient(X))=>happy(X)))&
((?[X]:((~creative(X)|~quiet(X))))=>(?[X]:(old(X))))&
(((~strong(fred)|~patient(fred)))=>(?[X]:((~kind(X)<~>~generous(X)))))&
(![X... | ~quiet(fred) | [
"p2",
"p6",
"p10",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2793681108757243912578039
% SZS output start Proof for 2793681108757243912578039
3. ! [X0] : ((tall(X0) & curious(X0)) <=> patient(X0)) [input p2]
7. ! [X0] : (funny(X0) <=> (~wise(X0) <~> curious(X0))) [input p6]
11. ! [X0] : (~strong(X0) <=> (~kind(X0) & happy(X0))) [input p10]
12. (qui... | 0 |
If john is not brave then someone is not tall.
If fred is either creative or not calm then someone is quiet.
If someone is kind or tall then john is both not wise and not strong and vice versa.
If someone is not patient then someone is not rich or not calm and vice versa.
Everyone who is not kind or not curious is both... | John is not calm. | neutral | ((~brave(john))=>(?[X]:(~tall(X))))&
(((creative(fred)<~>~calm(fred)))=>(?[X]:(quiet(X))))&
((?[X]:((kind(X)|tall(X))))<=>((~wise(john)&~strong(john))))&
((?[X]:(~patient(X)))<=>(?[X]:((~rich(X)|~calm(X)))))&
(![X]:((~kind(X)|~curious(X))<=>(creative(X)&~calm(X))))&
(![X]:(funny(X)=>~old(X)))&
(![X]:(patient(X)=>(~calm... | ~calm(john) | [] | null | 0 |
Everyone who is creative or not quiet is either generous or quiet and vice versa.
Everyone who is not old or quiet is curious and vice versa.
If mary is both strong and not curious then someone is not humble or not brave and vice versa.
Everyone who is not happy or not brave is both not patient and not creative and vic... | Lucy is happy. | neutral | (![X]:((creative(X)|~quiet(X))<=>(generous(X)<~>quiet(X))))&
(![X]:((~old(X)|quiet(X))<=>curious(X)))&
(((strong(mary)&~curious(mary)))<=>(?[X]:((~humble(X)|~brave(X)))))&
(![X]:((~happy(X)|~brave(X))<=>(~patient(X)&~creative(X))))&
(![X]:(brave(X)<=>(~humble(X)|calm(X))))&
(![X]:((~old(X)<~>~brave(X))<=>kind(X)))&
((?... | happy(lucy) | [] | null | 0 |
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then alice is rich or not curious.
If someone is wise or generous then jo... | John is strong. | neutral | (![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))<=>((~humble(john)<~>rich(john))))&
(![X]:((creative... | strong(john) | [] | null | 0 |
Everyone who is either funny or not old is tall or brave and vice versa. If fred is happy then someone is not brave or not humble and vice versa. Everyone who is both generous and funny is either not tall or humble and vice versa. If someone is humble then alice is both not strong and funny. Everyone who is strong or n... | Fred is not wise. | entailment | (![X]:((funny(X)<~>~old(X))<=>(tall(X)|brave(X))))&
((happy(fred))<=>(?[X]:((~brave(X)|~humble(X)))))&
(![X]:((generous(X)&funny(X))<=>(~tall(X)<~>humble(X))))&
((?[X]:(humble(X)))=>((~strong(alice)&funny(alice))))&
(![X]:((strong(X)|~old(X))<=>(creative(X)<~>~happy(X))))&
(![X]:((~calm(X)&~brave(X))<=>quiet(X)))&
((?[... | ~wise(fred) | [
"p1",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8167881020048948728901736
% SZS output start Proof for 8167881020048948728901736
2. happy(fred) <=> ? [X0] : (~humble(X0) | ~brave(X0)) [input p1]
13. ! [X0] : ((~wise(X0) & kind(X0)) <=> happy(X0)) [input p12]
23. ? [X0] : (~humble(X0) <~> ~brave(X0)) [input p22]
25. wise(fred) [input hy... | 0 |
If someone is not old or funny then someone is either not creative or calm and vice versa. If lucy is both not happy and not calm then someone is either strong or kind and vice versa. Everyone who is not kind or not happy is not creative. If someone is both not brave and creative then susan is either calm or funny. If ... | Susan is not strong. | neutral | ((?[X]:((~old(X)|funny(X))))<=>(?[X]:((~creative(X)<~>calm(X)))))&
(((~happy(lucy)&~calm(lucy)))<=>(?[X]:((strong(X)<~>kind(X)))))&
(![X]:((~kind(X)|~happy(X))=>~creative(X)))&
((?[X]:((~brave(X)&creative(X))))=>((calm(susan)<~>funny(susan))))&
(((~brave(alice)<~>~kind(alice)))=>(?[X]:((~funny(X)&~happy(X)))))&
((?[X]:... | ~strong(susan) | [] | null | 0 |
Everyone who is either brave or tall is not happy or calm and vice versa.
If john is either not creative or not calm then someone is both not creative and wise.
If someone is both not old and not strong then someone is kind and vice versa.
If someone is wise then someone is either not rich or patient.
If someone is not... | Mary is not wise. | entailment | (![X]:((brave(X)<~>tall(X))<=>(~happy(X)|calm(X))))&
(((~creative(john)<~>~calm(john)))=>(?[X]:((~creative(X)&wise(X)))))&
((?[X]:((~old(X)&~strong(X))))<=>(?[X]:(kind(X))))&
((?[X]:(wise(X)))=>(?[X]:((~rich(X)<~>patient(X)))))&
((?[X]:((~kind(X)|~curious(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:((~brave(X)<~>old(X)... | ~wise(mary) | [
"p6",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5207117617901688101783388
% SZS output start Proof for 5207117617901688101783388
7. ! [X0] : (~brave(X0) <=> (~rich(X0) <~> generous(X0))) [input p6]
10. ! [X0] : ((brave(X0) & ~creative(X0)) <=> (brave(X0) & creative(X0))) [input p9]
16. ! [X0] : ((~generous(X0) & ~creative(X0)) <=> (cre... | 0 |
Everyone who is rich or curious is either calm or funny. Everyone who is both patient and not quiet is not curious and vice versa. Everyone who is wise is not rich or not calm and vice versa. If someone is both rich and not curious then john is both brave and creative. If john is either generous or not happy then lucy ... | Susan is not wise. | neutral | (![X]:((rich(X)|curious(X))=>(calm(X)<~>funny(X))))&
(![X]:((patient(X)&~quiet(X))<=>~curious(X)))&
(![X]:(wise(X)<=>(~rich(X)|~calm(X))))&
((?[X]:((rich(X)&~curious(X))))=>((brave(john)&creative(john))))&
(((generous(john)<~>~happy(john)))<=>((old(lucy)&happy(lucy))))&
(![X]:((rich(X)|generous(X))<=>(humble(X)|~genero... | ~wise(susan) | [] | null | 0 |
If someone is both happy and rich then mary is calm and vice versa.
Everyone who is either not tall or not curious is both not curious and not generous.
Everyone who is either old or not creative is calm or not rich.
Everyone who is both tall and patient is both not generous and humble and vice versa.
Everyone who is t... | Paul is calm. | neutral | ((?[X]:((happy(X)&rich(X))))<=>(calm(mary)))&
(![X]:((~tall(X)<~>~curious(X))=>(~curious(X)&~generous(X))))&
(![X]:((old(X)<~>~creative(X))=>(calm(X)|~rich(X))))&
(![X]:((tall(X)&patient(X))<=>(~generous(X)&humble(X))))&
(![X]:(tall(X)<=>(~happy(X)&creative(X))))&
(![X]:(quiet(X)<=>curious(X)))&
(![X]:((funny(X)&quiet(... | calm(paul) | [] | null | 0 |
If fred is either tall or not patient then lucy is either not strong or not creative.
If susan is both not tall and not rich then someone is both curious and generous.
Everyone who is not funny is strong or not wise and vice versa.
Everyone who is old is both patient and not curious and vice versa.
If someone is happy ... | Susan is not wise. | neutral | (((tall(fred)<~>~patient(fred)))=>((~strong(lucy)<~>~creative(lucy))))&
(((~tall(susan)&~rich(susan)))=>(?[X]:((curious(X)&generous(X)))))&
(![X]:(~funny(X)<=>(strong(X)|~wise(X))))&
(![X]:(old(X)<=>(patient(X)&~curious(X))))&
((?[X]:((happy(X)|wise(X))))=>(?[X]:((calm(X)<~>~strong(X)))))&
(![X]:((calm(X)<~>tall(X))=>(... | ~wise(susan) | [] | null | 0 |
Everyone who is either not curious or not humble is either funny or not rich and vice versa.
Everyone who is wise is either not wise or not strong and vice versa.
Everyone who is either not tall or not rich is both not generous and not patient and vice versa.
If fred is either not funny or humble then someone is both n... | Mary is quiet. | entailment | (![X]:((~curious(X)<~>~humble(X))<=>(funny(X)<~>~rich(X))))&
(![X]:(wise(X)<=>(~wise(X)<~>~strong(X))))&
(![X]:((~tall(X)<~>~rich(X))<=>(~generous(X)&~patient(X))))&
(((~funny(fred)<~>humble(fred)))<=>(?[X]:((~patient(X)&quiet(X)))))&
((~patient(mary))=>((~old(paul)&old(paul))))&
(![X]:((quiet(X)&~humble(X))=>(~generou... | quiet(mary) | [
"p4",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 482286583224570140736879
% SZS output start Proof for 482286583224570140736879
5. ~patient(mary) => (old(paul) & ~old(paul)) [input p4]
11. ! [X0] : ((patient(X0) | wise(X0)) <=> (curious(X0) | quiet(X0))) [input p10]
15. ! [X0] : (quiet(X0) <=> (rich(X0) | curious(X0))) [input p14]
25. ~... | 0 |
Everyone who is either not humble or creative is old or not generous.
Everyone who is either patient or humble is not humble.
Everyone who is patient or curious is not brave.
Everyone who is not quiet or not happy is either not brave or not kind and vice versa.
If alice is brave then alice is not generous or not creati... | Mary is old. | neutral | (![X]:((~humble(X)<~>creative(X))=>(old(X)|~generous(X))))&
(![X]:((patient(X)<~>humble(X))=>~humble(X)))&
(![X]:((patient(X)|curious(X))=>~brave(X)))&
(![X]:((~quiet(X)|~happy(X))<=>(~brave(X)<~>~kind(X))))&
((brave(alice))<=>((~generous(alice)|~creative(alice))))&
((?[X]:((~calm(X)<~>~strong(X))))<=>(curious(paul)))&... | old(mary) | [] | null | 0 |
Everyone who is creative or curious is either not old or calm.
Everyone who is generous is either happy or rich and vice versa.
If someone is not happy or not funny then mary is either not curious or rich.
Everyone who is patient or happy is not generous.
Everyone who is both not happy and not wise is not patient and v... | Paul is not curious. | neutral | (![X]:((creative(X)|curious(X))=>(~old(X)<~>calm(X))))&
(![X]:(generous(X)<=>(happy(X)<~>rich(X))))&
((?[X]:((~happy(X)|~funny(X))))=>((~curious(mary)<~>rich(mary))))&
(![X]:((patient(X)|happy(X))=>~generous(X)))&
(![X]:((~happy(X)&~wise(X))<=>~patient(X)))&
((~brave(mary))<=>(?[X]:((kind(X)&~happy(X)))))&
((?[X]:((~ki... | ~curious(paul) | [] | null | 0 |
If someone is either not brave or not humble then alice is not humble or rich.
Everyone who is either not creative or humble is not old or funny and vice versa.
If someone is both humble and not calm then someone is both not humble and not kind and vice versa.
If someone is both not kind and tall then someone is not wi... | Alice is not quiet. | entailment | ((?[X]:((~brave(X)<~>~humble(X))))=>((~humble(alice)|rich(alice))))&
(![X]:((~creative(X)<~>humble(X))<=>(~old(X)|funny(X))))&
((?[X]:((humble(X)&~calm(X))))<=>(?[X]:((~humble(X)&~kind(X)))))&
((?[X]:((~kind(X)&tall(X))))<=>(?[X]:(~wise(X))))&
(![X]:((calm(X)|creative(X))<=>(~kind(X)&~humble(X))))&
((?[X]:((~funny(X)&g... | ~quiet(alice) | [
"p1",
"p4",
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8644675761172557749656781
% SZS output start Proof for 8644675761172557749656781
2. ! [X0] : ((~creative(X0) <~> humble(X0)) <=> (funny(X0) | ~old(X0))) [input p1]
5. ! [X0] : ((creative(X0) | calm(X0)) <=> (~humble(X0) & ~kind(X0))) [input p4]
10. ! [X0] : (calm(X0) <=> (quiet(X0) | pati... | 0 |
Everyone who is both kind and not patient is either rich or not curious and vice versa.
If someone is both not quiet and wise then lucy is not funny.
Everyone who is either not generous or not brave is not brave or humble and vice versa.
If someone is brave or not brave then lucy is either curious or generous and vice ... | Lucy is not calm. | neutral | (![X]:((kind(X)&~patient(X))<=>(rich(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&wise(X))))=>(~funny(lucy)))&
(![X]:((~generous(X)<~>~brave(X))<=>(~brave(X)|humble(X))))&
((?[X]:((brave(X)|~brave(X))))<=>((curious(lucy)<~>generous(lucy))))&
(![X]:((~patient(X)&~generous(X))=>(~quiet(X)|~creative(X))))&
((?[X]:((strong(X)|~... | ~calm(lucy) | [] | null | 0 |
If fred is both not creative and strong then someone is not funny.
If fred is not brave or not humble then lucy is not funny or not curious.
Everyone who is both not creative and not quiet is strong.
If someone is both patient and curious then mary is both not old and rich and vice versa.
If lucy is curious then someon... | John is quiet. | contradiction | (((~creative(fred)&strong(fred)))=>(?[X]:(~funny(X))))&
(((~brave(fred)|~humble(fred)))=>((~funny(lucy)|~curious(lucy))))&
(![X]:((~creative(X)&~quiet(X))=>strong(X)))&
((?[X]:((patient(X)&curious(X))))<=>((~old(mary)&rich(mary))))&
((curious(lucy))=>(?[X]:((patient(X)&happy(X)))))&
(![X]:(kind(X)=>(creative(X)<~>~pati... | quiet(john) | [
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2763715099072282730402716
% SZS output start Proof for 2763715099072282730402716
7. ! [X0] : (happy(X0) <=> ~brave(X0)) [input p6]
11. ! [X0] : (quiet(X0) => happy(X0)) [input p10]
13. ! [X0] : ((old(X0) <~> brave(X0)) <=> (~quiet(X0) <~> ~old(X0))) [input p12]
23. quiet(john) [input hypo... | 0 |
If paul is either humble or not strong then mary is both curious and not rich.
If someone is not calm or rich then someone is not rich or not happy.
If lucy is quiet or not strong then fred is rich and vice versa.
Everyone who is either funny or not wise is either old or rich.
Everyone who is both creative and not stro... | Fred is not wise. | contradiction | (((humble(paul)<~>~strong(paul)))=>((curious(mary)&~rich(mary))))&
((?[X]:((~calm(X)|rich(X))))=>(?[X]:((~rich(X)|~happy(X)))))&
(((quiet(lucy)|~strong(lucy)))<=>(rich(fred)))&
(![X]:((funny(X)<~>~wise(X))=>(old(X)<~>rich(X))))&
(![X]:((creative(X)&~strong(X))=>(funny(X)|creative(X))))&
(![X]:((~old(X)|patient(X))=>(ta... | ~wise(fred) | [
"p8",
"p12",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4472437117350345607857053
% SZS output start Proof for 4472437117350345607857053
9. ? [X0] : (~brave(X0) | curious(X0)) => (~wise(fred) <~> ~creative(fred)) [input p8]
13. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> creative(X0)) [input p12]
18. ~tall(paul) & curious(paul) [input p17]
21. cu... | 0 |
Everyone who is brave is both not generous and not funny and vice versa. Everyone who is not calm or not generous is both curious and not old and vice versa. Everyone who is both not calm and not generous is not old or generous. Everyone who is funny or creative is tall and vice versa. If john is either not curious or ... | Paul is not humble. | neutral | (![X]:(brave(X)<=>(~generous(X)&~funny(X))))&
(![X]:((~calm(X)|~generous(X))<=>(curious(X)&~old(X))))&
(![X]:((~calm(X)&~generous(X))=>(~old(X)|generous(X))))&
(![X]:((funny(X)|creative(X))<=>tall(X)))&
(((~curious(john)<~>quiet(john)))<=>(?[X]:((generous(X)<~>rich(X)))))&
((curious(paul))=>(?[X]:((creative(X)|~generou... | ~humble(paul) | [] | null | 0 |
If someone is either wise or patient then lucy is either calm or not rich and vice versa. Everyone who is curious or not kind is not old. Everyone who is funny is both old and not quiet. If someone is both tall and generous then alice is either not kind or happy. Everyone who is not happy or not rich is old or happy. E... | Lucy is not humble. | neutral | ((?[X]:((wise(X)<~>patient(X))))<=>((calm(lucy)<~>~rich(lucy))))&
(![X]:((curious(X)|~kind(X))=>~old(X)))&
(![X]:(funny(X)=>(old(X)&~quiet(X))))&
((?[X]:((tall(X)&generous(X))))=>((~kind(alice)<~>happy(alice))))&
(![X]:((~happy(X)|~rich(X))=>(old(X)|happy(X))))&
(![X]:((humble(X)<~>generous(X))=>tall(X)))&
(![X]:(~pati... | ~humble(lucy) | [] | null | 0 |
Everyone who is humble is not curious or wise and vice versa. If susan is not happy or not strong then someone is either strong or not wise. If someone is both funny and not strong then someone is not quiet or not rich. Everyone who is wise is not humble and vice versa. If alice is either creative or old then someone i... | Susan is generous. | entailment | (![X]:(humble(X)<=>(~curious(X)|wise(X))))&
(((~happy(susan)|~strong(susan)))=>(?[X]:((strong(X)<~>~wise(X)))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((~quiet(X)|~rich(X)))))&
(![X]:(wise(X)<=>~humble(X)))&
(((creative(alice)<~>old(alice)))=>(?[X]:((tall(X)|humble(X)))))&
(![X]:((humble(X)|kind(X))=>(~patient(X)|quie... | generous(susan) | [
"p0",
"p3",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 766381340213468900974660
% SZS output start Proof for 766381340213468900974660
1. ! [X0] : (humble(X0) <=> (wise(X0) | ~curious(X0))) [input p0]
4. ! [X0] : (wise(X0) <=> ~humble(X0)) [input p3]
7. ! [X0] : ((~curious(X0) <~> generous(X0)) => (~tall(X0) | wise(X0))) [input p6]
14. ! [X0] ... | 0 |
If someone is either calm or creative then someone is either wise or kind and vice versa. Everyone who is strong is calm. Everyone who is funny is both not kind and not curious. Everyone who is both generous and not patient is not wise. If someone is not calm or humble then someone is either not wise or happy. Everyone... | Fred is wise. | entailment | ((?[X]:((calm(X)<~>creative(X))))<=>(?[X]:((wise(X)<~>kind(X)))))&
(![X]:(strong(X)=>calm(X)))&
(![X]:(funny(X)=>(~kind(X)&~curious(X))))&
(![X]:((generous(X)&~patient(X))=>~wise(X)))&
((?[X]:((~calm(X)|humble(X))))=>(?[X]:((~wise(X)<~>happy(X)))))&
(![X]:((happy(X)&creative(X))=>(humble(X)&funny(X))))&
(![X]:(tall(X)=... | wise(fred) | [
"p2",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8370300094108263377948410
% SZS output start Proof for 8370300094108263377948410
3. ! [X0] : (funny(X0) => (~curious(X0) & ~kind(X0))) [input p2]
10. (wise(fred) & humble(fred)) <=> ? [X0] : (~funny(X0) & ~quiet(X0)) [input p9]
16. ! [X0] : (~rich(X0) <=> (curious(X0) & happy(X0))) [input... | 0 |
If someone is both generous and not creative then someone is both not generous and brave. If someone is either happy or not kind then paul is not old. If lucy is both not brave and wise then lucy is either not strong or strong. Everyone who is either quiet or not quiet is old. Everyone who is curious is not strong. Eve... | Alice is not brave. | entailment | ((?[X]:((generous(X)&~creative(X))))=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:((happy(X)<~>~kind(X))))=>(~old(paul)))&
(((~brave(lucy)&wise(lucy)))=>((~strong(lucy)<~>strong(lucy))))&
(![X]:((quiet(X)<~>~quiet(X))=>old(X)))&
(![X]:(curious(X)=>~strong(X)))&
(![X]:((~tall(X)&brave(X))=>(~curious(X)&curious(X))))&
(![X... | ~brave(alice) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1787050863740683864957716
% SZS output start Proof for 1787050863740683864957716
1. ? [X0] : (~creative(X0) & generous(X0)) => ? [X0] : (brave(X0) & ~generous(X0)) [input p0]
2. ? [X0] : (happy(X0) <~> ~kind(X0)) => ~old(paul) [input p1]
4. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => old(X0))... | 0 |
If someone is not patient or not calm then someone is either humble or old. If john is both not rich and not kind then fred is not creative. Everyone who is not creative or not quiet is both not strong and not quiet and vice versa. Everyone who is both kind and not strong is strong. Everyone who is not old or not humbl... | John is not creative. | contradiction | ((?[X]:((~patient(X)|~calm(X))))=>(?[X]:((humble(X)<~>old(X)))))&
(((~rich(john)&~kind(john)))=>(~creative(fred)))&
(![X]:((~creative(X)|~quiet(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((kind(X)&~strong(X))=>strong(X)))&
(![X]:((~old(X)|~humble(X))<=>(quiet(X)&curious(X))))&
(![X]:((rich(X)&~kind(X))<=>strong(X)))&
(![X]:... | ~creative(john) | [
"p2",
"p3",
"p5",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8349863502953500190715444
% SZS output start Proof for 8349863502953500190715444
3. ! [X0] : ((~quiet(X0) | ~creative(X0)) <=> (~quiet(X0) & ~strong(X0))) [input p2]
4. ! [X0] : ((~strong(X0) & kind(X0)) => strong(X0)) [input p3]
6. ! [X0] : ((~kind(X0) & rich(X0)) <=> strong(X0)) [input ... | 0 |
Everyone who is not funny or not calm is both not generous and old and vice versa. If someone is both not humble and old then susan is both not patient and humble and vice versa. Everyone who is creative or not strong is not creative or not happy and vice versa. Everyone who is both funny and not generous is not brave ... | John is not calm. | contradiction | (![X]:((~funny(X)|~calm(X))<=>(~generous(X)&old(X))))&
((?[X]:((~humble(X)&old(X))))<=>((~patient(susan)&humble(susan))))&
(![X]:((creative(X)|~strong(X))<=>(~creative(X)|~happy(X))))&
(![X]:((funny(X)&~generous(X))=>(~brave(X)|kind(X))))&
((~calm(susan))=>((strong(mary)<~>tall(mary))))&
(![X]:((~wise(X)|calm(X))=>(~cr... | ~calm(john) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2872843659773156771125309
% SZS output start Proof for 2872843659773156771125309
1. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (old(X0) & ~generous(X0))) [input p0]
2. ? [X0] : (old(X0) & ~humble(X0)) <=> (humble(susan) & ~patient(susan)) [input p1]
6. ! [X0] : ((calm(X0) | ~wise(X0)) => (~cr... | 0 |
Everyone who is not quiet is not happy or not brave. Everyone who is not old is quiet or not old and vice versa. Everyone who is not rich or funny is not creative and vice versa. If someone is either funny or tall then alice is not patient. Everyone who is patient or kind is either not funny or kind. Everyone who is no... | Alice is funny. | contradiction | (![X]:(~quiet(X)=>(~happy(X)|~brave(X))))&
(![X]:(~old(X)<=>(quiet(X)|~old(X))))&
(![X]:((~rich(X)|funny(X))<=>~creative(X)))&
((?[X]:((funny(X)<~>tall(X))))=>(~patient(alice)))&
(![X]:((patient(X)|kind(X))=>(~funny(X)<~>kind(X))))&
(![X]:(~strong(X)<=>kind(X)))&
(![X]:((~curious(X)|kind(X))=>brave(X)))&
((?[X]:(~funny... | funny(alice) | [
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4582794899400872616850426
% SZS output start Proof for 4582794899400872616850426
7. ! [X0] : ((kind(X0) | ~curious(X0)) => brave(X0)) [input p6]
9. ? [X0] : (~happy(X0) & ~brave(X0)) <=> ? [X0] : funny(X0) [input p8]
11. ! [X0] : (~brave(X0) <=> kind(X0)) [input p10]
23. funny(alice) [inp... | 0 |
If someone is strong then paul is generous.
Everyone who is not tall is either strong or patient.
Everyone who is not happy or strong is both generous and calm and vice versa.
Everyone who is generous or calm is either not quiet or not funny and vice versa.
If someone is either not calm or not wise then someone is both... | Paul is not humble. | contradiction | ((?[X]:(strong(X)))=>(generous(paul)))&
(![X]:(~tall(X)=>(strong(X)<~>patient(X))))&
(![X]:((~happy(X)|strong(X))<=>(generous(X)&calm(X))))&
(![X]:((generous(X)|calm(X))<=>(~quiet(X)<~>~funny(X))))&
((?[X]:((~calm(X)<~>~wise(X))))=>(?[X]:((~kind(X)&old(X)))))&
(![X]:((~wise(X)|~tall(X))<=>(old(X)&~rich(X))))&
(![X]:((r... | ~humble(paul) | [
"p0",
"p2",
"p6",
"p8",
"p9",
"p15",
"p16",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 9169166372585231568369111
% SZS output start Proof for 9169166372585231568369111
1. ? [X0] : strong(X0) => generous(paul) [input p0]
3. ! [X0] : ((strong(X0) | ~happy(X0)) <=> (calm(X0) & generous(X0))) [input p2]
7. ! [X0] : ((creative(X0) | rich(X0)) => (~happy(X0) | humble(X0))) [input... | 0 |
Everyone who is wise or humble is rich or not strong and vice versa. If someone is both creative and kind then john is either brave or not kind and vice versa. If someone is happy then mary is not creative. If someone is either brave or humble then someone is not wise. Everyone who is not rich or funny is both not wise... | Alice is humble. | neutral | (![X]:((wise(X)|humble(X))<=>(rich(X)|~strong(X))))&
((?[X]:((creative(X)&kind(X))))<=>((brave(john)<~>~kind(john))))&
((?[X]:(happy(X)))=>(~creative(mary)))&
((?[X]:((brave(X)<~>humble(X))))=>(?[X]:(~wise(X))))&
(![X]:((~rich(X)|funny(X))<=>(~wise(X)&creative(X))))&
(![X]:((patient(X)<~>~brave(X))<=>(~tall(X)<~>~old(X... | humble(alice) | [] | null | 0 |
Everyone who is not quiet is either not quiet or calm.
Everyone who is not creative or brave is either happy or not happy and vice versa.
If someone is not brave or rich then fred is strong and vice versa.
Everyone who is kind or not quiet is either rich or curious and vice versa.
If fred is either tall or strong then ... | John is not quiet. | contradiction | (![X]:(~quiet(X)=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)|brave(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:((~brave(X)|rich(X))))<=>(strong(fred)))&
(![X]:((kind(X)|~quiet(X))<=>(rich(X)<~>curious(X))))&
(((tall(fred)<~>strong(fred)))=>(?[X]:((rich(X)&humble(X)))))&
(![X]:((patient(X)&~rich(X))<=>(generous(X)|~calm(X... | ~quiet(john) | [
"p0",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8818609179135769182285427
% SZS output start Proof for 8818609179135769182285427
1. ! [X0] : (~quiet(X0) => (~quiet(X0) <~> calm(X0))) [input p0]
6. ! [X0] : ((~rich(X0) & patient(X0)) <=> (~calm(X0) | generous(X0))) [input p5]
9. ! [X0] : ((~old(X0) & ~patient(X0)) <=> (~curious(X0) <~> ... | 0 |
Everyone who is humble or not tall is either happy or not tall. If someone is not old or funny then someone is brave or patient and vice versa. Everyone who is either kind or generous is not funny or not kind and vice versa. Everyone who is patient or brave is quiet or curious. Everyone who is not curious is generous o... | Susan is quiet. | neutral | (![X]:((humble(X)|~tall(X))=>(happy(X)<~>~tall(X))))&
((?[X]:((~old(X)|funny(X))))<=>(?[X]:((brave(X)|patient(X)))))&
(![X]:((kind(X)<~>generous(X))<=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~generous(X))))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[... | quiet(susan) | [] | null | 0 |
Everyone who is both not quiet and tall is either curious or generous. If paul is both not happy and not rich then paul is quiet. If susan is rich then lucy is either not quiet or kind and vice versa. Everyone who is creative is calm and vice versa. Everyone who is both not funny and not strong is either calm or not cr... | Paul is kind. | neutral | (![X]:((~quiet(X)&tall(X))=>(curious(X)<~>generous(X))))&
(((~happy(paul)&~rich(paul)))=>(quiet(paul)))&
((rich(susan))<=>((~quiet(lucy)<~>kind(lucy))))&
(![X]:(creative(X)<=>calm(X)))&
(![X]:((~funny(X)&~strong(X))<=>(calm(X)<~>~creative(X))))&
((?[X]:((happy(X)|~curious(X))))<=>((patient(mary)<~>kind(mary))))&
(![X]:... | kind(paul) | [] | null | 0 |
Everyone who is creative or brave is not wise or patient.
Everyone who is either humble or not strong is either not patient or wise and vice versa.
If someone is old or kind then alice is brave or kind.
If lucy is either kind or rich then john is not calm or not rich and vice versa.
If someone is not kind then fred is ... | Fred is happy. | entailment | (![X]:((creative(X)|brave(X))=>(~wise(X)|patient(X))))&
(![X]:((humble(X)<~>~strong(X))<=>(~patient(X)<~>wise(X))))&
((?[X]:((old(X)|kind(X))))=>((brave(alice)|kind(alice))))&
(((kind(lucy)<~>rich(lucy)))<=>((~calm(john)|~rich(john))))&
((?[X]:(~kind(X)))<=>((~generous(fred)&humble(fred))))&
(((calm(alice)|~funny(alice... | happy(fred) | [
"p6",
"p10",
"p11",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5973277504567090279962621
% SZS output start Proof for 5973277504567090279962621
7. ! [X0] : ((creative(X0) & ~wise(X0)) <=> (~happy(X0) & brave(X0))) [input p6]
11. ! [X0] : (humble(X0) <=> (curious(X0) & funny(X0))) [input p10]
12. ! [X0] : ((wise(X0) <~> creative(X0)) => (quiet(X0) & ~... | 0 |
If someone is not funny or not quiet then lucy is generous or not calm and vice versa.
Everyone who is either curious or not brave is patient or strong and vice versa.
Everyone who is either humble or wise is both wise and not funny.
If fred is both not funny and not patient then alice is both curious and calm.
If some... | Fred is not old. | entailment | ((?[X]:((~funny(X)|~quiet(X))))<=>((generous(lucy)|~calm(lucy))))&
(![X]:((curious(X)<~>~brave(X))<=>(patient(X)|strong(X))))&
(![X]:((humble(X)<~>wise(X))=>(wise(X)&~funny(X))))&
(((~funny(fred)&~patient(fred)))=>((curious(alice)&calm(alice))))&
((?[X]:((rich(X)|humble(X))))=>((~tall(paul)<~>~creative(paul))))&
(![X]:... | ~old(fred) | [
"p3",
"p8",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7320695980269886689229669
% SZS output start Proof for 7320695980269886689229669
4. (~patient(fred) & ~funny(fred)) => (calm(alice) & curious(alice)) [input p3]
9. ! [X0] : ((generous(X0) & ~patient(X0)) <=> (~creative(X0) | old(X0))) [input p8]
15. ! [X0] : (~old(X0) <=> funny(X0)) [inpu... | 0 |
If someone is wise then fred is both patient and not creative and vice versa.
Everyone who is humble or not wise is either kind or not curious and vice versa.
Everyone who is not funny or not calm is funny.
If lucy is both not creative and not kind then someone is either old or humble and vice versa.
If john is both ri... | Fred is generous. | neutral | ((?[X]:(wise(X)))<=>((patient(fred)&~creative(fred))))&
(![X]:((humble(X)|~wise(X))<=>(kind(X)<~>~curious(X))))&
(![X]:((~funny(X)|~calm(X))=>funny(X)))&
(((~creative(lucy)&~kind(lucy)))<=>(?[X]:((old(X)<~>humble(X)))))&
(((rich(john)&~funny(john)))<=>((humble(fred)|~tall(fred))))&
((?[X]:((~strong(X)&humble(X))))<=>((... | generous(fred) | [] | null | 0 |
Everyone who is both humble and quiet is either quiet or calm and vice versa. If someone is either wise or brave then lucy is both not generous and not creative. If alice is either old or not strong then someone is not generous. If someone is not humble then someone is not creative or tall. Everyone who is both quiet a... | Lucy is wise. | entailment | (![X]:((humble(X)&quiet(X))<=>(quiet(X)<~>calm(X))))&
((?[X]:((wise(X)<~>brave(X))))=>((~generous(lucy)&~creative(lucy))))&
(((old(alice)<~>~strong(alice)))=>(?[X]:(~generous(X))))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|tall(X)))))&
(![X]:((quiet(X)&patient(X))=>~generous(X)))&
(![X]:((~strong(X)<~>strong(X))=>(ge... | wise(lucy) | [
"p1",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3137643979012281398337777
% SZS output start Proof for 3137643979012281398337777
2. ? [X0] : (wise(X0) <~> brave(X0)) => (~creative(lucy) & ~generous(lucy)) [input p1]
6. ! [X0] : ((~strong(X0) <~> strong(X0)) => (creative(X0) & generous(X0))) [input p5]
10. ! [X0] : ((strong(X0) | genero... | 0 |
If lucy is old or not rich then fred is either calm or quiet and vice versa.
Everyone who is either quiet or generous is both creative and not kind and vice versa.
Everyone who is not rich or not kind is kind and vice versa.
If paul is rich or curious then someone is not rich or brave and vice versa.
Everyone who is bo... | Alice is not kind. | contradiction | (((old(lucy)|~rich(lucy)))<=>((calm(fred)<~>quiet(fred))))&
(![X]:((quiet(X)<~>generous(X))<=>(creative(X)&~kind(X))))&
(![X]:((~rich(X)|~kind(X))<=>kind(X)))&
(((rich(paul)|curious(paul)))<=>(?[X]:((~rich(X)|brave(X)))))&
(![X]:((strong(X)&brave(X))<=>~rich(X)))&
(![X]:(~generous(X)=>(patient(X)|~curious(X))))&
((?[X]... | ~kind(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2386348197037943270837711
% SZS output start Proof for 2386348197037943270837711
3. ! [X0] : ((~kind(X0) | ~rich(X0)) <=> kind(X0)) [input p2]
24. ~kind(alice) [input hypothesis]
38. ! [X0] : (((~kind(X0) | ~rich(X0)) | ~kind(X0)) & (kind(X0) | (kind(X0) & rich(X0)))) [nnf transformation ... | 0 |
If someone is not old then someone is both not wise and not old and vice versa. If someone is happy then someone is both happy and tall. Everyone who is both rich and not strong is either humble or curious and vice versa. Everyone who is curious is tall. Everyone who is either strong or not curious is calm or not kind ... | Susan is patient. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&~old(X)))))&
((?[X]:(happy(X)))=>(?[X]:((happy(X)&tall(X)))))&
(![X]:((rich(X)&~strong(X))<=>(humble(X)<~>curious(X))))&
(![X]:(curious(X)=>tall(X)))&
(![X]:((strong(X)<~>~curious(X))<=>(calm(X)|~kind(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>(~tall(X)|patient(X))))&
((?[X]:(kind... | patient(susan) | [
"p5",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1298766226630337291947645
% SZS output start Proof for 1298766226630337291947645
6. ! [X0] : ((~generous(X0) <~> ~curious(X0)) <=> (patient(X0) | ~tall(X0))) [input p5]
13. ! [X0] : ((~calm(X0) & rich(X0)) <=> (generous(X0) | calm(X0))) [input p12]
14. ! [X0] : (~generous(X0) <=> ~strong(... | 0 |
Everyone who is humble or quiet is both not calm and funny and vice versa.
Everyone who is strong is either not creative or happy.
If fred is both patient and funny then someone is either tall or strong and vice versa.
If someone is both calm and happy then mary is both wise and generous and vice versa.
If paul is not ... | Susan is not strong. | entailment | (![X]:((humble(X)|quiet(X))<=>(~calm(X)&funny(X))))&
(![X]:(strong(X)=>(~creative(X)<~>happy(X))))&
(((patient(fred)&funny(fred)))<=>(?[X]:((tall(X)<~>strong(X)))))&
((?[X]:((calm(X)&happy(X))))<=>((wise(mary)&generous(mary))))&
(((~calm(paul)|~brave(paul)))<=>(?[X]:((quiet(X)&~wise(X)))))&
(![X]:(~rich(X)<=>tall(X)))&... | ~strong(susan) | [
"p5",
"p6",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 811013901228347613098824
% SZS output start Proof for 811013901228347613098824
6. ! [X0] : (~rich(X0) <=> tall(X0)) [input p5]
7. ! [X0] : (~tall(X0) <=> (patient(X0) | creative(X0))) [input p6]
13. ! [X0] : (tall(X0) => (~funny(X0) & ~wise(X0))) [input p12]
15. ! [X0] : ((patient(X0) | w... | 0 |
If fred is not calm or not old then paul is not generous or tall.
Everyone who is both happy and quiet is strong or not funny and vice versa.
Everyone who is both not wise and strong is not brave and vice versa.
Everyone who is either not creative or creative is either rich or not strong.
If john is tall then someone i... | Fred is not humble. | neutral | (((~calm(fred)|~old(fred)))=>((~generous(paul)|tall(paul))))&
(![X]:((happy(X)&quiet(X))<=>(strong(X)|~funny(X))))&
(![X]:((~wise(X)&strong(X))<=>~brave(X)))&
(![X]:((~creative(X)<~>creative(X))=>(rich(X)<~>~strong(X))))&
((tall(john))<=>(?[X]:((~happy(X)<~>~humble(X)))))&
((?[X]:((humble(X)&~patient(X))))=>((strong(ma... | ~humble(fred) | [] | null | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa. Everyone who is generous is curious. If someone is happy or not brave then someone is either not quiet or curious. If someone is not humble or not wise then mary is both funny and not curious and vice versa. Everyone who is either not... | John is not strong. | entailment | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | ~strong(john) | [
"p4",
"p6",
"p7",
"p8",
"p11",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3233861302332687142578049
% SZS output start Proof for 3233861302332687142578049
5. ! [X0] : ((~rich(X0) <~> funny(X0)) => (~brave(X0) & happy(X0))) [input p4]
7. ! [X0] : ((rich(X0) <~> tall(X0)) <=> (~strong(X0) | happy(X0))) [input p6]
8. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> (~humble... | 0 |
Everyone who is not rich or not old is not rich or humble and vice versa.
Everyone who is strong is funny.
Everyone who is generous or calm is both not kind and not brave.
If mary is either quiet or humble then paul is happy.
If fred is not tall or kind then someone is either creative or kind and vice versa.
If someone... | Paul is wise. | neutral | (![X]:((~rich(X)|~old(X))<=>(~rich(X)|humble(X))))&
(![X]:(strong(X)=>funny(X)))&
(![X]:((generous(X)|calm(X))=>(~kind(X)&~brave(X))))&
(((quiet(mary)<~>humble(mary)))=>(happy(paul)))&
(((~tall(fred)|kind(fred)))<=>(?[X]:((creative(X)<~>kind(X)))))&
((?[X]:((patient(X)<~>creative(X))))<=>((~brave(john)&~kind(john))))&
... | wise(paul) | [] | null | 0 |
Everyone who is both wise and not patient is either not calm or not old and vice versa.
Everyone who is not quiet is not funny and vice versa.
Everyone who is humble is both humble and not brave.
Everyone who is quiet or happy is both humble and not calm.
If mary is both not happy and not strong then someone is both no... | John is happy. | contradiction | (![X]:((wise(X)&~patient(X))<=>(~calm(X)<~>~old(X))))&
(![X]:(~quiet(X)<=>~funny(X)))&
(![X]:(humble(X)=>(humble(X)&~brave(X))))&
(![X]:((quiet(X)|happy(X))=>(humble(X)&~calm(X))))&
(((~happy(mary)&~strong(mary)))=>(?[X]:((~brave(X)&patient(X)))))&
(![X]:((~tall(X)|kind(X))<=>(~calm(X)<~>humble(X))))&
(![X]:((~patient(... | happy(john) | [
"p0",
"p3",
"p5",
"p6",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9119885136321281245652089
% SZS output start Proof for 9119885136321281245652089
1. ! [X0] : ((~patient(X0) & wise(X0)) <=> (~calm(X0) <~> ~old(X0))) [input p0]
4. ! [X0] : ((happy(X0) | quiet(X0)) => (~calm(X0) & humble(X0))) [input p3]
6. ! [X0] : ((kind(X0) | ~tall(X0)) <=> (~calm(X0) ... | 0 |
Everyone who is either quiet or patient is either quiet or not strong and vice versa. If someone is both brave and not humble then alice is both not strong and not happy and vice versa. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who ... | Mary is tall. | contradiction | (![X]:((quiet(X)<~>patient(X))<=>(quiet(X)<~>~strong(X))))&
((?[X]:((brave(X)&~humble(X))))<=>((~strong(alice)&~happy(alice))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious... | tall(mary) | [
"p0",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8304747726309070824393079
% SZS output start Proof for 8304747726309070824393079
1. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
8. ! [X0] : ((tall(X0) & ~brave(X0)) <=> (~patient(X0) <~> strong(X0))) [input p7]
12. ! [X0] : ((kind(X0) | ~kind(X0)) <=>... | 0 |
If someone is not funny then fred is both not humble and not kind and vice versa.
Everyone who is humble or not quiet is either not rich or curious and vice versa.
Everyone who is both old and not calm is either calm or funny.
If someone is both funny and not creative then fred is strong or creative.
Everyone who is bo... | Paul is not kind. | contradiction | ((?[X]:(~funny(X)))<=>((~humble(fred)&~kind(fred))))&
(![X]:((humble(X)|~quiet(X))<=>(~rich(X)<~>curious(X))))&
(![X]:((old(X)&~calm(X))=>(calm(X)<~>funny(X))))&
((?[X]:((funny(X)&~creative(X))))=>((strong(fred)|creative(fred))))&
(![X]:((strong(X)&creative(X))=>(~kind(X)<~>~happy(X))))&
(![X]:((brave(X)|~generous(X))=... | ~kind(paul) | [
"p5",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 596970146362746543134336
% SZS output start Proof for 596970146362746543134336
6. ! [X0] : ((~generous(X0) | brave(X0)) => (kind(X0) & ~calm(X0))) [input p5]
7. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (patient(X0) & funny(X0))) [input p6]
22. kind(paul) <~> ~patient(paul) [input p21]
25. ~... | 0 |
Everyone who is generous is tall or kind and vice versa. If john is not calm or not kind then someone is both not rich and not wise. If someone is patient or not quiet then someone is generous and vice versa. If someone is either old or not generous then someone is not curious and vice versa. If someone is not happy or... | Alice is not calm. | contradiction | (![X]:(generous(X)<=>(tall(X)|kind(X))))&
(((~calm(john)|~kind(john)))=>(?[X]:((~rich(X)&~wise(X)))))&
((?[X]:((patient(X)|~quiet(X))))<=>(?[X]:(generous(X))))&
((?[X]:((old(X)<~>~generous(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((creative(lucy)|~kind(lucy))))&
((?[X]:((happy(X)|curious(X)))... | ~calm(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2333133758539899103568605
% SZS output start Proof for 2333133758539899103568605
7. ! [X0] : ((tall(X0) <~> ~tall(X0)) => (calm(X0) & old(X0))) [input p6]
25. ~calm(alice) [input hypothesis]
30. ! [X0] : ((calm(X0) & old(X0)) | (tall(X0) <=> ~tall(X0))) [ennf transformation 7]
54. ! [X0] ... | 0 |
If someone is either creative or not patient then someone is patient or not generous.
Everyone who is not funny is not calm and vice versa.
Everyone who is either not kind or not creative is old or calm.
If mary is both not brave and quiet then someone is either old or not happy.
Everyone who is not brave is not kind o... | Susan is not patient. | entailment | ((?[X]:((creative(X)<~>~patient(X))))=>(?[X]:((patient(X)|~generous(X)))))&
(![X]:(~funny(X)<=>~calm(X)))&
(![X]:((~kind(X)<~>~creative(X))=>(old(X)|calm(X))))&
(((~brave(mary)&quiet(mary)))=>(?[X]:((old(X)<~>~happy(X)))))&
(![X]:(~brave(X)=>(~kind(X)|strong(X))))&
((?[X]:((generous(X)<~>~tall(X))))=>(?[X]:((curious(X)... | ~patient(susan) | [
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2399828661046124866805249
% SZS output start Proof for 2399828661046124866805249
11. ! [X0] : ((~curious(X0) | ~rich(X0)) => tall(X0)) [input p10]
16. ! [X0] : ((rich(X0) | tall(X0)) => (~happy(X0) & ~patient(X0))) [input p15]
22. patient(susan) [input hypothesis]
35. ! [X0] : (tall(X0) |... | 0 |
If fred is both not generous and not strong then mary is not curious or rich.
Everyone who is not patient or kind is happy and vice versa.
Everyone who is both not strong and strong is both funny and not happy and vice versa.
If someone is both not brave and not rich then someone is both not kind and not happy and vice... | Fred is generous. | neutral | (((~generous(fred)&~strong(fred)))=>((~curious(mary)|rich(mary))))&
(![X]:((~patient(X)|kind(X))<=>happy(X)))&
(![X]:((~strong(X)&strong(X))<=>(funny(X)&~happy(X))))&
((?[X]:((~brave(X)&~rich(X))))<=>(?[X]:((~kind(X)&~happy(X)))))&
(![X]:((~calm(X)|~creative(X))=>(curious(X)|funny(X))))&
(![X]:(funny(X)=>(~strong(X)&qu... | generous(fred) | [] | null | 0 |
Everyone who is either brave or not quiet is either not brave or patient.
If john is both tall and patient then someone is both curious and not quiet and vice versa.
Everyone who is patient or generous is funny or tall.
Everyone who is tall or not creative is not old or not brave and vice versa.
Everyone who is either ... | John is not generous. | entailment | (![X]:((brave(X)<~>~quiet(X))=>(~brave(X)<~>patient(X))))&
(((tall(john)&patient(john)))<=>(?[X]:((curious(X)&~quiet(X)))))&
(![X]:((patient(X)|generous(X))=>(funny(X)|tall(X))))&
(![X]:((tall(X)|~creative(X))<=>(~old(X)|~brave(X))))&
(![X]:((tall(X)<~>~calm(X))<=>(~creative(X)&~brave(X))))&
(![X]:((rich(X)|~wise(X))=>... | ~generous(john) | [
"p3",
"p4",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5556494547637980026665375
% SZS output start Proof for 5556494547637980026665375
4. ! [X0] : ((~creative(X0) | tall(X0)) <=> (~brave(X0) | ~old(X0))) [input p3]
5. ! [X0] : ((tall(X0) <~> ~calm(X0)) <=> (~brave(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((creative(X0) & funny(X0)) <=> (... | 0 |
If paul is not kind or tall then someone is not curious or brave and vice versa. Everyone who is creative or not tall is both quiet and old. If someone is both curious and not old then fred is both quiet and not funny and vice versa. Everyone who is either not curious or not wise is quiet or not brave. If alice is eith... | Paul is quiet. | neutral | (((~kind(paul)|tall(paul)))<=>(?[X]:((~curious(X)|brave(X)))))&
(![X]:((creative(X)|~tall(X))=>(quiet(X)&old(X))))&
((?[X]:((curious(X)&~old(X))))<=>((quiet(fred)&~funny(fred))))&
(![X]:((~curious(X)<~>~wise(X))=>(quiet(X)|~brave(X))))&
(((tall(alice)<~>quiet(alice)))=>(?[X]:(kind(X))))&
(![X]:(~humble(X)<=>(funny(X)<~... | quiet(paul) | [] | null | 0 |
If mary is both creative and old then someone is either not creative or humble. Everyone who is both not wise and not patient is either strong or old and vice versa. Everyone who is calm or not creative is either not old or not curious. Everyone who is both not wise and not old is both not humble and not kind. Everyone... | Lucy is not kind. | neutral | (((creative(mary)&old(mary)))=>(?[X]:((~creative(X)<~>humble(X)))))&
(![X]:((~wise(X)&~patient(X))<=>(strong(X)<~>old(X))))&
(![X]:((calm(X)|~creative(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~wise(X)&~old(X))=>(~humble(X)&~kind(X))))&
(![X]:((~brave(X)|~funny(X))=>~calm(X)))&
((?[X]:((~generous(X)|~kind(X))))<=>(~funny... | ~kind(lucy) | [] | null | 0 |
If someone is either curious or not happy then alice is either not happy or not calm and vice versa. If mary is creative then paul is tall. Everyone who is both not calm and brave is brave or not brave. If susan is either not rich or not quiet then someone is not generous or curious and vice versa. Everyone who is eith... | Paul is patient. | neutral | ((?[X]:((curious(X)<~>~happy(X))))<=>((~happy(alice)<~>~calm(alice))))&
((creative(mary))=>(tall(paul)))&
(![X]:((~calm(X)&brave(X))=>(brave(X)|~brave(X))))&
(((~rich(susan)<~>~quiet(susan)))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:((~humble(X)<~>~creative(X))=>(~brave(X)<~>~wise(X))))&
((~happy(fred))=>((happy(al... | patient(paul) | [] | null | 0 |
If someone is either not happy or generous then alice is funny.
If someone is either humble or kind then someone is both not brave and not patient.
Everyone who is strong is generous or happy and vice versa.
Everyone who is not patient is creative and vice versa.
If someone is happy or not tall then someone is both not... | Paul is patient. | entailment | ((?[X]:((~happy(X)<~>generous(X))))=>(funny(alice)))&
((?[X]:((humble(X)<~>kind(X))))=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:(strong(X)<=>(generous(X)|happy(X))))&
(![X]:(~patient(X)<=>creative(X)))&
((?[X]:((happy(X)|~tall(X))))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:(~creative(X)<=>(old(X)&wise(X))))&
(![X]:((~st... | patient(paul) | [
"p3",
"p5",
"p7",
"p8",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2283904295971607992611818
% SZS output start Proof for 2283904295971607992611818
4. ! [X0] : (~patient(X0) <=> creative(X0)) [input p3]
6. ! [X0] : (~creative(X0) <=> (wise(X0) & old(X0))) [input p5]
8. ! [X0] : ((wise(X0) | ~patient(X0)) <=> ~quiet(X0)) [input p7]
9. ! [X0] : ((brave(X0)... | 0 |
Everyone who is brave is both not creative and funny and vice versa. Everyone who is either not old or creative is brave. If someone is not creative then someone is not rich and vice versa. Everyone who is both not happy and not old is strong and vice versa. Everyone who is either not brave or not happy is old or brave... | Paul is funny. | contradiction | (![X]:(brave(X)<=>(~creative(X)&funny(X))))&
(![X]:((~old(X)<~>creative(X))=>brave(X)))&
((?[X]:(~creative(X)))<=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)&~old(X))<=>strong(X)))&
(![X]:((~brave(X)<~>~happy(X))=>(old(X)|brave(X))))&
((?[X]:((quiet(X)|generous(X))))=>((~happy(fred)<~>~rich(fred))))&
(![X]:((wise(X)<~>~happy... | funny(paul) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4550037834428097266534190
% SZS output start Proof for 4550037834428097266534190
19. ~quiet(paul) & ~funny(paul) [input p18]
24. funny(paul) [input hypothesis]
118. ~funny(paul) [cnf transformation 19]
126. funny(paul) [cnf transformation 24]
246. $false [subsumption resolution 126,118]
%... | 0 |
If lucy is both strong and tall then lucy is either curious or strong.
If john is either old or funny then paul is either brave or humble.
Everyone who is not creative is patient or generous.
Everyone who is both not kind and not funny is tall or not brave.
If john is both not patient and not kind then susan is both cr... | Paul is old. | contradiction | (((strong(lucy)&tall(lucy)))=>((curious(lucy)<~>strong(lucy))))&
(((old(john)<~>funny(john)))=>((brave(paul)<~>humble(paul))))&
(![X]:(~creative(X)=>(patient(X)|generous(X))))&
(![X]:((~kind(X)&~funny(X))=>(tall(X)|~brave(X))))&
(((~patient(john)&~kind(john)))=>((creative(susan)&curious(susan))))&
((?[X]:((humble(X)|ri... | old(paul) | [
"p5",
"p6",
"p7",
"p9",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8088866486551814014714096
% SZS output start Proof for 8088866486551814014714096
6. ? [X0] : (rich(X0) | humble(X0)) <=> (curious(paul) <~> ~patient(paul)) [input p5]
7. ! [X0] : ((~strong(X0) & quiet(X0)) <=> (~curious(X0) <~> ~happy(X0))) [input p6]
8. ! [X0] : ((humble(X0) & ~tall(X0))... | 0 |
Everyone who is not tall or humble is either not brave or calm.
Everyone who is not tall or not generous is both not creative and curious.
If someone is kind or quiet then someone is not brave or not wise and vice versa.
If susan is both rich and tall then someone is both strong and happy and vice versa.
Everyone who i... | Fred is strong. | contradiction | (![X]:((~tall(X)|humble(X))=>(~brave(X)<~>calm(X))))&
(![X]:((~tall(X)|~generous(X))=>(~creative(X)&curious(X))))&
((?[X]:((kind(X)|quiet(X))))<=>(?[X]:((~brave(X)|~wise(X)))))&
(((rich(susan)&tall(susan)))<=>(?[X]:((strong(X)&happy(X)))))&
(![X]:((tall(X)&quiet(X))=>(quiet(X)&funny(X))))&
((?[X]:((rich(X)&~quiet(X))))... | strong(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7090956059494149842674175
% SZS output start Proof for 7090956059494149842674175
8. ! [X0] : (~funny(X0) <=> (funny(X0) | ~strong(X0))) [input p7]
24. strong(fred) [input hypothesis]
61. ! [X0] : ((~funny(X0) | (~funny(X0) & strong(X0))) & ((funny(X0) | ~strong(X0)) | funny(X0))) [nnf tra... | 0 |
Everyone who is not creative is not tall.
Everyone who is either wise or not rich is either not old or quiet and vice versa.
If susan is either not generous or wise then someone is both not strong and tall.
Everyone who is not patient is either not generous or strong.
Everyone who is tall is strong or not creative and ... | Alice is calm. | neutral | (![X]:(~creative(X)=>~tall(X)))&
(![X]:((wise(X)<~>~rich(X))<=>(~old(X)<~>quiet(X))))&
(((~generous(susan)<~>wise(susan)))=>(?[X]:((~strong(X)&tall(X)))))&
(![X]:(~patient(X)=>(~generous(X)<~>strong(X))))&
(![X]:(tall(X)<=>(strong(X)|~creative(X))))&
(![X]:((~strong(X)|~creative(X))<=>(~creative(X)&~happy(X))))&
(![X]:... | calm(alice) | [] | null | 0 |
Everyone who is tall is not calm or patient. If fred is wise or calm then lucy is both not patient and old. Everyone who is kind or not wise is old or happy. Everyone who is either not funny or quiet is humble. Everyone who is creative or not strong is both not funny and not strong and vice versa. Everyone who is both ... | Fred is not old. | entailment | (![X]:(tall(X)=>(~calm(X)|patient(X))))&
(((wise(fred)|calm(fred)))=>((~patient(lucy)&old(lucy))))&
(![X]:((kind(X)|~wise(X))=>(old(X)|happy(X))))&
(![X]:((~funny(X)<~>quiet(X))=>humble(X)))&
(![X]:((creative(X)|~strong(X))<=>(~funny(X)&~strong(X))))&
(![X]:((~generous(X)&~rich(X))<=>(humble(X)|funny(X))))&
((~tall(pau... | ~old(fred) | [
"p5",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 938631618723481976893472
% SZS output start Proof for 938631618723481976893472
6. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (funny(X0) | humble(X0))) [input p5]
9. ! [X0] : ((~strong(X0) | old(X0)) => (funny(X0) & ~curious(X0))) [input p8]
17. rich(fred) [input p16]
25. old(fred) [input h... | 0 |
Everyone who is either not wise or wise is both not funny and old and vice versa.
Everyone who is both wise and rich is both happy and not curious.
Everyone who is strong is wise and vice versa.
Everyone who is both quiet and tall is either strong or not old and vice versa.
Everyone who is both old and quiet is both st... | Susan is patient. | entailment | (![X]:((~wise(X)<~>wise(X))<=>(~funny(X)&old(X))))&
(![X]:((wise(X)&rich(X))=>(happy(X)&~curious(X))))&
(![X]:(strong(X)<=>wise(X)))&
(![X]:((quiet(X)&tall(X))<=>(strong(X)<~>~old(X))))&
(![X]:((old(X)&quiet(X))<=>(strong(X)&~strong(X))))&
(((~brave(lucy)&~creative(lucy)))<=>(?[X]:((~old(X)|~quiet(X)))))&
(![X]:((~gene... | patient(susan) | [
"p0",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2651470932244147102264166
% SZS output start Proof for 2651470932244147102264166
1. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> (old(X0) & ~funny(X0))) [input p0]
13. ! [X0] : ((old(X0) <~> generous(X0)) <=> (~patient(X0) | brave(X0))) [input p12]
21. generous(susan) [input p20]
24. ~patient(s... | 0 |
If someone is both calm and not brave then someone is either not quiet or happy.
If someone is both curious and not generous then someone is quiet and vice versa.
Everyone who is either funny or brave is funny or not brave and vice versa.
Everyone who is both not generous and curious is both not creative and not genero... | Lucy is not patient. | neutral | ((?[X]:((calm(X)&~brave(X))))=>(?[X]:((~quiet(X)<~>happy(X)))))&
((?[X]:((curious(X)&~generous(X))))<=>(?[X]:(quiet(X))))&
(![X]:((funny(X)<~>brave(X))<=>(funny(X)|~brave(X))))&
(![X]:((~generous(X)&curious(X))<=>(~creative(X)&~generous(X))))&
(![X]:((~quiet(X)&tall(X))=>(curious(X)<~>generous(X))))&
(((~happy(paul)&~r... | ~patient(lucy) | [] | null | 0 |
If alice is not wise then someone is not wise or not tall.
Everyone who is curious or strong is both not quiet and not curious.
If john is kind or not happy then someone is not patient.
If mary is both not strong and tall then paul is not brave and vice versa.
Everyone who is patient is curious or not old and vice vers... | Alice is not wise. | neutral | ((~wise(alice))=>(?[X]:((~wise(X)|~tall(X)))))&
(![X]:((curious(X)|strong(X))=>(~quiet(X)&~curious(X))))&
(((kind(john)|~happy(john)))=>(?[X]:(~patient(X))))&
(((~strong(mary)&tall(mary)))<=>(~brave(paul)))&
(![X]:(patient(X)<=>(curious(X)|~old(X))))&
(![X]:(~creative(X)<=>(~rich(X)&wise(X))))&
(![X]:(~wise(X)=>(~rich(... | ~wise(alice) | [] | null | 0 |
Everyone who is not happy is brave. Everyone who is both old and not old is strong or curious and vice versa. If someone is both happy and not calm then alice is quiet and vice versa. Everyone who is wise is both curious and not rich. Everyone who is both old and humble is both quiet and not tall and vice versa. Everyo... | Susan is not old. | neutral | (![X]:(~happy(X)=>brave(X)))&
(![X]:((old(X)&~old(X))<=>(strong(X)|curious(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(quiet(alice)))&
(![X]:(wise(X)=>(curious(X)&~rich(X))))&
(![X]:((old(X)&humble(X))<=>(quiet(X)&~tall(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>(~humble(X)&strong(X))))&
(![X]:((patient(X)&~curious(X))=>(~cu... | ~old(susan) | [] | null | 0 |
Everyone who is either not strong or not wise is happy or quiet. If someone is both happy and kind then someone is not old. Everyone who is not calm or tall is either patient or not wise. Everyone who is not strong or not kind is either not patient or not kind. Everyone who is not tall or old is not wise or rich and vi... | Paul is strong. | entailment | (![X]:((~strong(X)<~>~wise(X))=>(happy(X)|quiet(X))))&
((?[X]:((happy(X)&kind(X))))=>(?[X]:(~old(X))))&
(![X]:((~calm(X)|tall(X))=>(patient(X)<~>~wise(X))))&
(![X]:((~strong(X)|~kind(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~tall(X)|old(X))<=>(~wise(X)|rich(X))))&
(![X]:((curious(X)|~patient(X))<=>patient(X)))&
(![X]:(... | strong(paul) | [
"p3",
"p4",
"p5",
"p6",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2984787789495226621729241
% SZS output start Proof for 2984787789495226621729241
4. ! [X0] : ((~kind(X0) | ~strong(X0)) => (~patient(X0) <~> ~kind(X0))) [input p3]
5. ! [X0] : ((old(X0) | ~tall(X0)) <=> (rich(X0) | ~wise(X0))) [input p4]
6. ! [X0] : ((~patient(X0) | curious(X0)) <=> patie... | 0 |
If someone is not wise then lucy is strong or not happy.
If someone is both not generous and creative then lucy is not wise and vice versa.
Everyone who is either curious or brave is either not calm or kind and vice versa.
Everyone who is either not humble or not strong is either not creative or tall.
Everyone who is e... | Paul is rich. | neutral | ((?[X]:(~wise(X)))=>((strong(lucy)|~happy(lucy))))&
((?[X]:((~generous(X)&creative(X))))<=>(~wise(lucy)))&
(![X]:((curious(X)<~>brave(X))<=>(~calm(X)<~>kind(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(~creative(X)<~>tall(X))))&
(![X]:((~old(X)<~>old(X))<=>(~creative(X)|~curious(X))))&
((?[X]:((calm(X)&~quiet(X))))<=>(cre... | rich(paul) | [] | null | 0 |
Everyone who is either kind or quiet is quiet. If lucy is either quiet or humble then susan is old and vice versa. Everyone who is either calm or curious is not curious or old and vice versa. Everyone who is not wise or not tall is not rich. Everyone who is either not patient or quiet is not brave or not happy and vice... | Lucy is not kind. | entailment | (![X]:((kind(X)<~>quiet(X))=>quiet(X)))&
(((quiet(lucy)<~>humble(lucy)))<=>(old(susan)))&
(![X]:((calm(X)<~>curious(X))<=>(~curious(X)|old(X))))&
(![X]:((~wise(X)|~tall(X))=>~rich(X)))&
(![X]:((~patient(X)<~>quiet(X))<=>(~brave(X)|~happy(X))))&
(![X]:(curious(X)<=>(tall(X)|creative(X))))&
(![X]:((funny(X)&~wise(X))<=>(... | ~kind(lucy) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4376903084657855217445809
% SZS output start Proof for 4376903084657855217445809
1. ! [X0] : ((kind(X0) <~> quiet(X0)) => quiet(X0)) [input p0]
21. ~quiet(lucy) [input p20]
24. kind(lucy) [input hypothesis]
26. ! [X0] : (quiet(X0) | (kind(X0) <=> quiet(X0))) [ennf transformation 1]
32. ! ... | 0 |
Everyone who is both humble and quiet is both not generous and patient and vice versa. If fred is either old or not curious then someone is kind and vice versa. If fred is either funny or not calm then alice is either brave or old. Everyone who is not strong is not generous. If someone is not humble then someone is not... | Fred is not patient. | entailment | (![X]:((humble(X)&quiet(X))<=>(~generous(X)&patient(X))))&
(((old(fred)<~>~curious(fred)))<=>(?[X]:(kind(X))))&
(((funny(fred)<~>~calm(fred)))=>((brave(alice)<~>old(alice))))&
(![X]:(~strong(X)=>~generous(X)))&
((?[X]:(~humble(X)))=>(?[X]:((~creative(X)|tall(X)))))&
(![X]:((quiet(X)&patient(X))=>~generous(X)))&
(![X]:(... | ~patient(fred) | [
"p3",
"p5",
"p6",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 728235996350805978254021
% SZS output start Proof for 728235996350805978254021
4. ! [X0] : (~strong(X0) => ~generous(X0)) [input p3]
6. ! [X0] : ((patient(X0) & quiet(X0)) => ~generous(X0)) [input p5]
7. ! [X0] : ((~strong(X0) <~> strong(X0)) => (creative(X0) & generous(X0))) [input p6]
1... | 0 |
Everyone who is tall or humble is tall.
If fred is not generous then alice is both old and not quiet and vice versa.
Everyone who is both not patient and not creative is either patient or not happy and vice versa.
Everyone who is curious or not humble is either not old or humble.
If someone is both humble and not quiet... | John is not happy. | neutral | (![X]:((tall(X)|humble(X))=>tall(X)))&
((~generous(fred))<=>((old(alice)&~quiet(alice))))&
(![X]:((~patient(X)&~creative(X))<=>(patient(X)<~>~happy(X))))&
(![X]:((curious(X)|~humble(X))=>(~old(X)<~>humble(X))))&
((?[X]:((humble(X)&~quiet(X))))<=>(?[X]:(calm(X))))&
(((~tall(mary)<~>~curious(mary)))=>(?[X]:(funny(X))))&
... | ~happy(john) | [] | null | 0 |
Everyone who is not calm is either wise or not curious and vice versa.
If someone is either not rich or not funny then someone is not old and vice versa.
If someone is either not strong or not humble then alice is both not old and not creative.
Everyone who is not creative is both strong and funny.
If mary is either hu... | Alice is not tall. | entailment | (![X]:(~calm(X)<=>(wise(X)<~>~curious(X))))&
((?[X]:((~rich(X)<~>~funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((~strong(X)<~>~humble(X))))=>((~old(alice)&~creative(alice))))&
(![X]:(~creative(X)=>(strong(X)&funny(X))))&
(((humble(mary)<~>~funny(mary)))=>(?[X]:(~generous(X))))&
(![X]:((quiet(X)&~patient(X))<=>(strong(X)&gen... | ~tall(alice) | [
"p2",
"p3",
"p6",
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 678937149130910471419724
% SZS output start Proof for 678937149130910471419724
3. ? [X0] : (~strong(X0) <~> ~humble(X0)) => (~creative(alice) & ~old(alice)) [input p2]
4. ! [X0] : (~creative(X0) => (funny(X0) & strong(X0))) [input p3]
7. ! [X0] : ((~happy(X0) & ~creative(X0)) <=> (old(X0)... | 0 |
Everyone who is either old or not rich is both happy and brave and vice versa. Everyone who is not funny or not calm is either patient or kind and vice versa. Everyone who is not brave is either brave or not happy. Everyone who is both not rich and not happy is wise. If someone is either not happy or brave then someone... | Susan is happy. | contradiction | (![X]:((old(X)<~>~rich(X))<=>(happy(X)&brave(X))))&
(![X]:((~funny(X)|~calm(X))<=>(patient(X)<~>kind(X))))&
(![X]:(~brave(X)=>(brave(X)<~>~happy(X))))&
(![X]:((~rich(X)&~happy(X))=>wise(X)))&
((?[X]:((~happy(X)<~>brave(X))))<=>(?[X]:((happy(X)|~wise(X)))))&
(((calm(fred)|~kind(fred)))<=>(?[X]:(patient(X))))&
(![X]:((ca... | happy(susan) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2788025434110040229255380
% SZS output start Proof for 2788025434110040229255380
1. ! [X0] : ((old(X0) <~> ~rich(X0)) <=> (brave(X0) & happy(X0))) [input p0]
2. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (patient(X0) <~> kind(X0))) [input p1]
3. ! [X0] : (~brave(X0) => (brave(X0) <~> ~happy(X... | 0 |
Everyone who is strong or rich is not happy or not curious and vice versa. Everyone who is funny is not happy or not humble. Everyone who is rich or brave is both brave and not humble and vice versa. If alice is either tall or not strong then mary is quiet or not kind and vice versa. Everyone who is either curious or r... | Paul is not creative. | entailment | (![X]:((strong(X)|rich(X))<=>(~happy(X)|~curious(X))))&
(![X]:(funny(X)=>(~happy(X)|~humble(X))))&
(![X]:((rich(X)|brave(X))<=>(brave(X)&~humble(X))))&
(((tall(alice)<~>~strong(alice)))<=>((quiet(mary)|~kind(mary))))&
(![X]:((curious(X)<~>rich(X))=>(~rich(X)<~>~happy(X))))&
((?[X]:((strong(X)|~wise(X))))=>((wise(alice)... | ~creative(paul) | [
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7225818094084783718810377
% SZS output start Proof for 7225818094084783718810377
13. ! [X0] : ((~quiet(X0) | brave(X0)) => (creative(X0) <~> brave(X0))) [input p12]
14. ! [X0] : ((~tall(X0) | creative(X0)) <=> (~patient(X0) <~> ~brave(X0))) [input p13]
21. ~patient(paul) & tall(paul) [inp... | 0 |
If someone is both not generous and old then someone is either brave or generous.
Everyone who is either not quiet or tall is curious.
If fred is either curious or not funny then fred is not tall or kind and vice versa.
If someone is not wise then fred is both not tall and strong and vice versa.
If mary is calm then ma... | John is not calm. | neutral | ((?[X]:((~generous(X)&old(X))))=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:((~quiet(X)<~>tall(X))=>curious(X)))&
(((curious(fred)<~>~funny(fred)))<=>((~tall(fred)|kind(fred))))&
((?[X]:(~wise(X)))<=>((~tall(fred)&strong(fred))))&
((calm(mary))=>((tall(mary)|creative(mary))))&
(((old(paul)<~>funny(paul)))=>((~wise(alice... | ~calm(john) | [] | null | 0 |
Everyone who is not creative or not calm is not patient. Everyone who is humble or quiet is both tall and calm. Everyone who is both not old and happy is both funny and humble. If lucy is not strong or not curious then fred is either not wise or not generous. If susan is either generous or not tall then someone is not ... | Paul is not quiet. | neutral | (![X]:((~creative(X)|~calm(X))=>~patient(X)))&
(![X]:((humble(X)|quiet(X))=>(tall(X)&calm(X))))&
(![X]:((~old(X)&happy(X))=>(funny(X)&humble(X))))&
(((~strong(lucy)|~curious(lucy)))=>((~wise(fred)<~>~generous(fred))))&
(((generous(susan)<~>~tall(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:(old(X)<=>(~generous(X)<~>... | ~quiet(paul) | [] | null | 0 |
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Everyone who is patient or not wise is not curious.
If someone is either old or not wise then someone is both not calm and not strong and vice versa.
Everyone who is patient... | Mary is not strong. | entailment | (![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:((patient(X)|strong(X))<=>(kind(X)&happy(X))))&
(![X]:((~calm(X)&rich(X))<=>(quiet(X)&hum... | ~strong(mary) | [
"p2",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7183383212209870593622286
% SZS output start Proof for 7183383212209870593622286
3. ! [X0] : ((~wise(X0) | patient(X0)) => ~curious(X0)) [input p2]
5. ! [X0] : ((strong(X0) | patient(X0)) <=> (happy(X0) & kind(X0))) [input p4]
13. ? [X0] : happy(X0) <=> (curious(lucy) & ~wise(lucy)) [inpu... | 0 |
Everyone who is not rich or brave is funny. Everyone who is not curious is patient and vice versa. If someone is funny then alice is both curious and rich and vice versa. Everyone who is both generous and brave is patient or kind and vice versa. If someone is both not quiet and not curious then alice is both not genero... | John is not curious. | contradiction | (![X]:((~rich(X)|brave(X))=>funny(X)))&
(![X]:(~curious(X)<=>patient(X)))&
((?[X]:(funny(X)))<=>((curious(alice)&rich(alice))))&
(![X]:((generous(X)&brave(X))<=>(patient(X)|kind(X))))&
((?[X]:((~quiet(X)&~curious(X))))<=>((~generous(alice)&~curious(alice))))&
((?[X]:((~creative(X)<~>generous(X))))=>(?[X]:((curious(X)|~... | ~curious(john) | [
"p1",
"p3",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 467750250220073075387154
% SZS output start Proof for 467750250220073075387154
2. ! [X0] : (~curious(X0) <=> patient(X0)) [input p1]
4. ! [X0] : ((brave(X0) & generous(X0)) <=> (kind(X0) | patient(X0))) [input p3]
8. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> ~old(X0)) [input p7]
14. ? [X0] ... | 0 |
Everyone who is either not humble or tall is not happy or not quiet and vice versa.
If someone is not brave or strong then fred is not generous or not kind and vice versa.
If alice is both generous and not quiet then someone is not patient and vice versa.
If mary is both creative and not rich then someone is quiet or p... | Fred is curious. | contradiction | (![X]:((~humble(X)<~>tall(X))<=>(~happy(X)|~quiet(X))))&
((?[X]:((~brave(X)|strong(X))))<=>((~generous(fred)|~kind(fred))))&
(((generous(alice)&~quiet(alice)))<=>(?[X]:(~patient(X))))&
(((creative(mary)&~rich(mary)))<=>(?[X]:((quiet(X)|patient(X)))))&
(![X]:((quiet(X)&~wise(X))<=>(~strong(X)|strong(X))))&
(![X]:((~happ... | curious(fred) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4326405981145820036621211
% SZS output start Proof for 4326405981145820036621211
15. ! [X0] : (happy(X0) <=> (~happy(X0) | ~curious(X0))) [input p14]
24. curious(fred) [input hypothesis]
68. ! [X0] : ((happy(X0) | (happy(X0) & curious(X0))) & ((~happy(X0) | ~curious(X0)) | ~happy(X0))) [n... | 0 |
If paul is not rich then someone is brave or not brave and vice versa.
Everyone who is not curious is either creative or not brave and vice versa.
Everyone who is not quiet or not funny is both brave and strong and vice versa.
Everyone who is funny is both not humble and not kind.
Everyone who is either not humble or n... | Mary is not humble. | entailment | ((~rich(paul))<=>(?[X]:((brave(X)|~brave(X)))))&
(![X]:(~curious(X)<=>(creative(X)<~>~brave(X))))&
(![X]:((~quiet(X)|~funny(X))<=>(brave(X)&strong(X))))&
(![X]:(funny(X)=>(~humble(X)&~kind(X))))&
(![X]:((~humble(X)<~>~happy(X))<=>~patient(X)))&
((?[X]:(tall(X)))=>(?[X]:(calm(X))))&
((?[X]:((~curious(X)&rich(X))))=>(~ri... | ~humble(mary) | [
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6870987269868477273734971
% SZS output start Proof for 6870987269868477273734971
3. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (strong(X0) & brave(X0))) [input p2]
4. ! [X0] : (funny(X0) => (~kind(X0) & ~humble(X0))) [input p3]
11. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> (brave(X0) | ~fun... | 0 |
Everyone who is either not patient or not curious is quiet or funny.
If paul is both strong and not wise then john is either funny or curious.
Everyone who is curious is not humble.
Everyone who is not generous or generous is humble.
Everyone who is both not brave and not humble is not tall and vice versa.
Everyone who... | Lucy is quiet. | entailment | (![X]:((~patient(X)<~>~curious(X))=>(quiet(X)|funny(X))))&
(((strong(paul)&~wise(paul)))=>((funny(john)<~>curious(john))))&
(![X]:(curious(X)=>~humble(X)))&
(![X]:((~generous(X)|generous(X))=>humble(X)))&
(![X]:((~brave(X)&~humble(X))<=>~tall(X)))&
(![X]:((rich(X)&strong(X))<=>(wise(X)|~patient(X))))&
(![X]:(calm(X)=>(... | quiet(lucy) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5853461391234619068723525
% SZS output start Proof for 5853461391234619068723525
1. ! [X0] : ((~patient(X0) <~> ~curious(X0)) => (funny(X0) | quiet(X0))) [input p0]
3. ! [X0] : (curious(X0) => ~humble(X0)) [input p2]
4. ! [X0] : ((generous(X0) | ~generous(X0)) => humble(X0)) [input p3]
5.... | 0 |
If susan is either curious or not wise then john is both funny and not patient. Everyone who is funny or kind is funny or not rich. Everyone who is either not kind or not old is both not humble and brave and vice versa. Everyone who is both not brave and not strong is happy and vice versa. Everyone who is not humble is... | Lucy is not patient. | neutral | (((curious(susan)<~>~wise(susan)))=>((funny(john)&~patient(john))))&
(![X]:((funny(X)|kind(X))=>(funny(X)|~rich(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(~humble(X)&brave(X))))&
(![X]:((~brave(X)&~strong(X))<=>happy(X)))&
(![X]:(~humble(X)<=>~funny(X)))&
(![X]:((calm(X)|~calm(X))<=>(tall(X)<~>humble(X))))&
((?[X]:(~wise(X)... | ~patient(lucy) | [] | null | 0 |
If john is strong or funny then someone is generous and vice versa.
Everyone who is patient is either not wise or tall and vice versa.
Everyone who is either kind or calm is not funny or not calm and vice versa.
Everyone who is either not calm or generous is brave and vice versa.
If someone is both tall and not rich th... | Paul is not patient. | entailment | (((strong(john)|funny(john)))<=>(?[X]:(generous(X))))&
(![X]:(patient(X)<=>(~wise(X)<~>tall(X))))&
(![X]:((kind(X)<~>calm(X))<=>(~funny(X)|~calm(X))))&
(![X]:((~calm(X)<~>generous(X))<=>brave(X)))&
((?[X]:((tall(X)&~rich(X))))<=>(?[X]:(~humble(X))))&
(![X]:(~wise(X)<=>(wise(X)&~old(X))))&
((?[X]:((~wise(X)<~>strong(X))... | ~patient(paul) | [
"p1",
"p5",
"p11",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 620330801390099412499226
% SZS output start Proof for 620330801390099412499226
2. ! [X0] : (patient(X0) <=> (~wise(X0) <~> tall(X0))) [input p1]
6. ! [X0] : (~wise(X0) <=> (~old(X0) & wise(X0))) [input p5]
12. ! [X0] : ((~patient(X0) | quiet(X0)) <=> (tall(X0) | creative(X0))) [input p11]... | 0 |
If paul is both not generous and not happy then mary is both calm and curious. Everyone who is not strong is either strong or not brave and vice versa. Everyone who is kind is strong or happy. If someone is either tall or not strong then mary is not kind or not brave and vice versa. If paul is both not tall and tall th... | John is generous. | contradiction | (((~generous(paul)&~happy(paul)))=>((calm(mary)&curious(mary))))&
(![X]:(~strong(X)<=>(strong(X)<~>~brave(X))))&
(![X]:(kind(X)=>(strong(X)|happy(X))))&
((?[X]:((tall(X)<~>~strong(X))))<=>((~kind(mary)|~brave(mary))))&
(((~tall(paul)&tall(paul)))=>(~brave(john)))&
((?[X]:(~brave(X)))=>(?[X]:(~old(X))))&
(![X]:((old(X)|... | generous(john) | [
"p7",
"p9",
"p14",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6736746694720341802143509
% SZS output start Proof for 6736746694720341802143509
8. ! [X0] : ((~funny(X0) | ~tall(X0)) <=> ~funny(X0)) [input p7]
10. ! [X0] : (strong(X0) <=> (funny(X0) | humble(X0))) [input p9]
15. ! [X0] : ((~tall(X0) <~> calm(X0)) <=> (~old(X0) & ~calm(X0))) [input p14... | 0 |
Everyone who is either not quiet or wise is not creative and vice versa.
If lucy is either not calm or not happy then susan is both humble and not calm.
If fred is humble then someone is either curious or calm.
If someone is both kind and tall then alice is creative or quiet and vice versa.
If someone is funny then som... | Fred is creative. | neutral | (![X]:((~quiet(X)<~>wise(X))<=>~creative(X)))&
(((~calm(lucy)<~>~happy(lucy)))=>((humble(susan)&~calm(susan))))&
((humble(fred))=>(?[X]:((curious(X)<~>calm(X)))))&
((?[X]:((kind(X)&tall(X))))<=>((creative(alice)|quiet(alice))))&
((?[X]:(funny(X)))=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:(quiet(X)<=>(quiet(X)&~rich(X)... | creative(fred) | [] | null | 0 |
Everyone who is both not strong and not kind is either quiet or not tall and vice versa. If someone is both not patient and not happy then someone is patient or not happy. If someone is both strong and not creative then someone is both not quiet and quiet and vice versa. If someone is both not creative and not kind the... | Mary is not creative. | contradiction | (![X]:((~strong(X)&~kind(X))<=>(quiet(X)<~>~tall(X))))&
((?[X]:((~patient(X)&~happy(X))))=>(?[X]:((patient(X)|~happy(X)))))&
((?[X]:((strong(X)&~creative(X))))<=>(?[X]:((~quiet(X)&quiet(X)))))&
((?[X]:((~creative(X)&~kind(X))))<=>(happy(susan)))&
(![X]:((calm(X)|kind(X))<=>curious(X)))&
((?[X]:(rich(X)))=>((rich(john)<... | ~creative(mary) | [
"p2",
"p4",
"p6",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4851786374325933168767656
% SZS output start Proof for 4851786374325933168767656
3. ? [X0] : (~creative(X0) & strong(X0)) <=> ? [X0] : (quiet(X0) & ~quiet(X0)) [input p2]
5. ! [X0] : ((kind(X0) | calm(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : ((wise(X0) <~> creative(X0)) <=> (~kind(X0)... | 0 |
If fred is old then someone is either kind or strong.
If someone is not strong or not happy then lucy is tall.
Everyone who is quiet is curious or funny and vice versa.
Everyone who is both not wise and not humble is either not strong or not happy and vice versa.
Everyone who is not strong or wise is generous and vice ... | John is not rich. | neutral | ((old(fred))=>(?[X]:((kind(X)<~>strong(X)))))&
((?[X]:((~strong(X)|~happy(X))))=>(tall(lucy)))&
(![X]:(quiet(X)<=>(curious(X)|funny(X))))&
(![X]:((~wise(X)&~humble(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~strong(X)|wise(X))<=>generous(X)))&
(((~tall(lucy)|~strong(lucy)))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:(~bra... | ~rich(john) | [] | null | 0 |
If fred is both calm and not calm then someone is either kind or not brave and vice versa.
If susan is tall or generous then someone is humble or funny and vice versa.
If paul is either rich or tall then alice is both curious and not humble and vice versa.
Everyone who is quiet is both brave and not quiet and vice vers... | Paul is brave. | contradiction | (((calm(fred)&~calm(fred)))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(((tall(susan)|generous(susan)))<=>(?[X]:((humble(X)|funny(X)))))&
(((rich(paul)<~>tall(paul)))<=>((curious(alice)&~humble(alice))))&
(![X]:(quiet(X)<=>(brave(X)&~quiet(X))))&
(((~tall(fred)&strong(fred)))=>((~creative(fred)|old(fred))))&
(![X]:((old(X)|str... | brave(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 847376554266031228130840
% SZS output start Proof for 847376554266031228130840
4. ! [X0] : (quiet(X0) <=> (~quiet(X0) & brave(X0))) [input p3]
25. brave(paul) [input hypothesis]
53. ! [X0] : ((quiet(X0) | (quiet(X0) | ~brave(X0))) & ((~quiet(X0) & brave(X0)) | ~quiet(X0))) [nnf transforma... | 0 |
If paul is wise or not happy then alice is calm.
If lucy is not generous then someone is either not wise or not strong.
If lucy is either not humble or not brave then alice is calm.
Everyone who is calm or wise is not happy and vice versa.
If someone is strong then someone is not curious or not funny and vice versa.
Ev... | Alice is brave. | neutral | (((wise(paul)|~happy(paul)))=>(calm(alice)))&
((~generous(lucy))=>(?[X]:((~wise(X)<~>~strong(X)))))&
(((~humble(lucy)<~>~brave(lucy)))=>(calm(alice)))&
(![X]:((calm(X)|wise(X))<=>~happy(X)))&
((?[X]:(strong(X)))<=>(?[X]:((~curious(X)|~funny(X)))))&
(![X]:(~patient(X)=>(kind(X)&generous(X))))&
(((~generous(mary)&calm(ma... | brave(alice) | [] | null | 0 |
Everyone who is both not generous and not curious is brave or not humble and vice versa. If paul is humble or not generous then paul is strong or not brave and vice versa. Everyone who is both not quiet and strong is either calm or not funny. If someone is not wise then alice is not curious or humble. If someone is cre... | Fred is calm. | neutral | (![X]:((~generous(X)&~curious(X))<=>(brave(X)|~humble(X))))&
(((humble(paul)|~generous(paul)))<=>((strong(paul)|~brave(paul))))&
(![X]:((~quiet(X)&strong(X))=>(calm(X)<~>~funny(X))))&
((?[X]:(~wise(X)))=>((~curious(alice)|humble(alice))))&
((?[X]:((creative(X)|~creative(X))))<=>((~creative(alice)&~wise(alice))))&
((cur... | calm(fred) | [] | null | 0 |
Everyone who is strong or not rich is not patient and vice versa.
If alice is either not happy or creative then susan is either generous or not funny.
Everyone who is funny or not strong is not humble.
Everyone who is both not quiet and not calm is strong.
Everyone who is either not happy or not strong is wise or not t... | John is brave. | entailment | (![X]:((strong(X)|~rich(X))<=>~patient(X)))&
(((~happy(alice)<~>creative(alice)))=>((generous(susan)<~>~funny(susan))))&
(![X]:((funny(X)|~strong(X))=>~humble(X)))&
(![X]:((~quiet(X)&~calm(X))=>strong(X)))&
(![X]:((~happy(X)<~>~strong(X))<=>(wise(X)|~tall(X))))&
(![X]:(strong(X)=>(~kind(X)<~>creative(X))))&
(![X]:((old... | brave(john) | [
"p5",
"p8",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2775156286076592813531359
% SZS output start Proof for 2775156286076592813531359
6. ! [X0] : (strong(X0) => (~kind(X0) <~> creative(X0))) [input p5]
9. ! [X0] : ((~funny(X0) | tall(X0)) <=> (generous(X0) & ~kind(X0))) [input p8]
12. ! [X0] : (strong(X0) <=> (~rich(X0) | ~brave(X0))) [inpu... | 0 |
If mary is humble or not creative then paul is not tall. Everyone who is both quiet and not humble is tall or not curious and vice versa. Everyone who is either not patient or humble is not generous or not brave and vice versa. If someone is not kind then someone is curious or humble. If someone is either funny or not ... | Susan is rich. | neutral | (((humble(mary)|~creative(mary)))=>(~tall(paul)))&
(![X]:((quiet(X)&~humble(X))<=>(tall(X)|~curious(X))))&
(![X]:((~patient(X)<~>humble(X))<=>(~generous(X)|~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((curious(X)|humble(X)))))&
((?[X]:((funny(X)<~>~generous(X))))<=>(?[X]:((~curious(X)&~brave(X)))))&
(![X]:((~old(X)|~genero... | rich(susan) | [] | null | 0 |
If john is either not calm or not patient then susan is not old or not creative.
If someone is old or not rich then lucy is not curious or not generous.
If someone is quiet or not quiet then fred is happy.
If someone is both not quiet and not wise then someone is humble or not tall and vice versa.
Everyone who is both ... | Alice is patient. | neutral | (((~calm(john)<~>~patient(john)))=>((~old(susan)|~creative(susan))))&
((?[X]:((old(X)|~rich(X))))=>((~curious(lucy)|~generous(lucy))))&
((?[X]:((quiet(X)|~quiet(X))))=>(happy(fred)))&
((?[X]:((~quiet(X)&~wise(X))))<=>(?[X]:((humble(X)|~tall(X)))))&
(![X]:((~kind(X)&generous(X))<=>(quiet(X)|~patient(X))))&
((strong(fred... | patient(alice) | [] | null | 0 |
Everyone who is both not happy and not quiet is both not creative and not humble and vice versa.
Everyone who is not wise is curious and vice versa.
If someone is both not quiet and patient then paul is not generous or patient and vice versa.
If someone is both not brave and brave then mary is both calm and not quiet.
... | John is kind. | entailment | (![X]:((~happy(X)&~quiet(X))<=>(~creative(X)&~humble(X))))&
(![X]:(~wise(X)<=>curious(X)))&
((?[X]:((~quiet(X)&patient(X))))<=>((~generous(paul)|patient(paul))))&
((?[X]:((~brave(X)&brave(X))))=>((calm(mary)&~quiet(mary))))&
(![X]:((old(X)|humble(X))=>(kind(X)<~>curious(X))))&
(![X]:(~wise(X)=>(kind(X)&~kind(X))))&
(((... | kind(john) | [
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 21090814583322798236534
% SZS output start Proof for 21090814583322798236534
6. ! [X0] : (~wise(X0) => (~kind(X0) & kind(X0))) [input p5]
9. ? [X0] : (~creative(X0) <~> ~kind(X0)) <=> (~wise(mary) & creative(mary)) [input p8]
14. ! [X0] : ((~curious(X0) | ~kind(X0)) => (~rich(X0) & creati... | 0 |
If someone is both not creative and creative then alice is either not calm or funny.
Everyone who is both old and funny is not wise and vice versa.
Everyone who is either tall or brave is either humble or curious and vice versa.
Everyone who is not old is both not funny and not kind and vice versa.
Everyone who is not ... | John is calm. | contradiction | ((?[X]:((~creative(X)&creative(X))))=>((~calm(alice)<~>funny(alice))))&
(![X]:((old(X)&funny(X))<=>~wise(X)))&
(![X]:((tall(X)<~>brave(X))<=>(humble(X)<~>curious(X))))&
(![X]:(~old(X)<=>(~funny(X)&~kind(X))))&
(![X]:((~patient(X)|old(X))<=>(calm(X)&~old(X))))&
(![X]:((~brave(X)|~humble(X))=>(~happy(X)&~patient(X))))&
(... | calm(john) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2116572705499596125873442
% SZS output start Proof for 2116572705499596125873442
5. ! [X0] : ((old(X0) | ~patient(X0)) <=> (~old(X0) & calm(X0))) [input p4]
8. ! [X0] : (calm(X0) => (~generous(X0) & patient(X0))) [input p7]
21. calm(john) [input hypothesis]
25. ! [X0] : ((~generous(X0) & ... | 0 |
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