premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both not generous and happy is either happy or calm and vice versa. Everyone who is generous is both happy and old. Everyone who is either wise or not rich is quiet or not brave. Everyone who is not curious is old or tall and vice versa. Everyone who is not kind is creative and vice versa. If someone is... | Mary is not kind. | contradiction | (![X]:((~generous(X)&happy(X))<=>(happy(X)<~>calm(X))))&
(![X]:(generous(X)=>(happy(X)&old(X))))&
(![X]:((wise(X)<~>~rich(X))=>(quiet(X)|~brave(X))))&
(![X]:(~curious(X)<=>(old(X)|tall(X))))&
(![X]:(~kind(X)<=>creative(X)))&
((?[X]:((creative(X)<~>~creative(X))))<=>((~humble(susan)&happy(susan))))&
((?[X]:((happy(X)<~>... | ~kind(mary) | [
"p0",
"p1",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2234391054154084189741604
% SZS output start Proof for 2234391054154084189741604
1. ! [X0] : ((happy(X0) & ~generous(X0)) <=> (happy(X0) <~> calm(X0))) [input p0]
2. ! [X0] : (generous(X0) => (old(X0) & happy(X0))) [input p1]
8. ! [X0] : ((happy(X0) & old(X0)) <=> (happy(X0) & kind(X0))) ... | 0 |
If paul is humble or not calm then susan is either not old or curious.
Everyone who is not humble is either calm or not rich and vice versa.
Everyone who is humble or wise is either not brave or rich and vice versa.
If lucy is both old and patient then someone is either quiet or rich and vice versa.
If john is both cur... | John is patient. | neutral | (((humble(paul)|~calm(paul)))=>((~old(susan)<~>curious(susan))))&
(![X]:(~humble(X)<=>(calm(X)<~>~rich(X))))&
(![X]:((humble(X)|wise(X))<=>(~brave(X)<~>rich(X))))&
(((old(lucy)&patient(lucy)))<=>(?[X]:((quiet(X)<~>rich(X)))))&
(((curious(john)&~wise(john)))<=>((creative(paul)<~>~tall(paul))))&
(![X]:((~rich(X)|~generou... | patient(john) | [] | null | 0 |
If fred is not quiet or wise then someone is both strong and brave.
If mary is both happy and curious then susan is not curious.
Everyone who is not patient or not old is either generous or rich and vice versa.
If mary is either creative or humble then someone is patient or not funny.
Everyone who is wise or not humble... | Fred is quiet. | neutral | (((~quiet(fred)|wise(fred)))=>(?[X]:((strong(X)&brave(X)))))&
(((happy(mary)&curious(mary)))=>(~curious(susan)))&
(![X]:((~patient(X)|~old(X))<=>(generous(X)<~>rich(X))))&
(((creative(mary)<~>humble(mary)))=>(?[X]:((patient(X)|~funny(X)))))&
(![X]:((wise(X)|~humble(X))<=>(old(X)<~>~brave(X))))&
(![X]:((old(X)|~old(X))=... | quiet(fred) | [] | null | 0 |
If someone is both curious and not brave then fred is both not old and kind. If someone is humble then susan is both funny and not curious. Everyone who is both not strong and kind is both not curious and not generous and vice versa. If someone is not rich or patient then someone is not humble and vice versa. Everyone ... | Susan is not rich. | contradiction | ((?[X]:((curious(X)&~brave(X))))=>((~old(fred)&kind(fred))))&
((?[X]:(humble(X)))=>((funny(susan)&~curious(susan))))&
(![X]:((~strong(X)&kind(X))<=>(~curious(X)&~generous(X))))&
((?[X]:((~rich(X)|patient(X))))<=>(?[X]:(~humble(X))))&
(![X]:(~humble(X)=>curious(X)))&
(![X]:((patient(X)<~>~old(X))<=>(~rich(X)<~>~kind(X))... | ~rich(susan) | [
"p1",
"p4",
"p6",
"p7",
"p8",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6365518345578510645342197
% SZS output start Proof for 6365518345578510645342197
2. ? [X0] : humble(X0) => (~curious(susan) & funny(susan)) [input p1]
5. ! [X0] : (~humble(X0) => curious(X0)) [input p4]
7. ! [X0] : ((~strong(X0) & patient(X0)) <=> old(X0)) [input p6]
8. ! [X0] : ((~tall(X... | 0 |
If lucy is calm then someone is both not curious and tall and vice versa.
If someone is not kind then someone is not calm and vice versa.
Everyone who is not generous is not funny or wise.
If someone is not brave then someone is not quiet and vice versa.
If fred is creative or patient then someone is brave.
If lucy is ... | Lucy is humble. | entailment | ((calm(lucy))<=>(?[X]:((~curious(X)&tall(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:(~calm(X))))&
(![X]:(~generous(X)=>(~funny(X)|wise(X))))&
((?[X]:(~brave(X)))<=>(?[X]:(~quiet(X))))&
(((creative(fred)|patient(fred)))=>(?[X]:(brave(X))))&
(((~wise(lucy)|generous(lucy)))=>(humble(susan)))&
(((~generous(mary)|humble(mary)))=>((... | humble(lucy) | [
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6653944836323614479618518
% SZS output start Proof for 6653944836323614479618518
22. wise(lucy) <~> humble(lucy) [input p21]
23. ~wise(lucy) [input p22]
25. ~humble(lucy) [input hypothesis]
79. (~humble(lucy) | ~wise(lucy)) & (humble(lucy) | wise(lucy)) [nnf transformation 22]
140. humble... | 0 |
If someone is not curious then someone is both curious and not funny.
If mary is not humble then someone is either not tall or brave.
If paul is brave then john is patient or not strong.
If paul is generous or tall then john is both not creative and not humble.
Everyone who is either not kind or not patient is not humb... | John is not rich. | neutral | ((?[X]:(~curious(X)))=>(?[X]:((curious(X)&~funny(X)))))&
((~humble(mary))=>(?[X]:((~tall(X)<~>brave(X)))))&
((brave(paul))=>((patient(john)|~strong(john))))&
(((generous(paul)|tall(paul)))=>((~creative(john)&~humble(john))))&
(![X]:((~kind(X)<~>~patient(X))=>~humble(X)))&
((?[X]:((~patient(X)|kind(X))))<=>((~calm(susan... | ~rich(john) | [] | null | 0 |
Everyone who is both not humble and not patient is both tall and curious.
Everyone who is not old is not humble.
Everyone who is both strong and not strong is both not humble and not funny.
If someone is both not funny and not rich then someone is both not kind and not rich.
If mary is calm or curious then someone is n... | Fred is not strong. | neutral | (![X]:((~humble(X)&~patient(X))=>(tall(X)&curious(X))))&
(![X]:(~old(X)=>~humble(X)))&
(![X]:((strong(X)&~strong(X))=>(~humble(X)&~funny(X))))&
((?[X]:((~funny(X)&~rich(X))))=>(?[X]:((~kind(X)&~rich(X)))))&
(((calm(mary)|curious(mary)))<=>(?[X]:(~kind(X))))&
(![X]:((~tall(X)|patient(X))=>(old(X)|kind(X))))&
(![X]:((~cu... | ~strong(fred) | [] | null | 0 |
Everyone who is both not calm and brave is not calm or not tall and vice versa. Everyone who is wise or not kind is not humble or funny. If alice is not creative or humble then someone is both tall and rich and vice versa. Everyone who is either not brave or patient is either not brave or wise and vice versa. If john i... | Paul is not patient. | contradiction | (![X]:((~calm(X)&brave(X))<=>(~calm(X)|~tall(X))))&
(![X]:((wise(X)|~kind(X))=>(~humble(X)|funny(X))))&
(((~creative(alice)|humble(alice)))<=>(?[X]:((tall(X)&rich(X)))))&
(![X]:((~brave(X)<~>patient(X))<=>(~brave(X)<~>wise(X))))&
(((~old(john)&~funny(john)))<=>((tall(paul)<~>quiet(paul))))&
(![X]:(creative(X)<=>(~quiet... | ~patient(paul) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7604457710919555683893717
% SZS output start Proof for 7604457710919555683893717
1. ! [X0] : ((brave(X0) & ~calm(X0)) <=> (~tall(X0) | ~calm(X0))) [input p0]
2. ! [X0] : ((~kind(X0) | wise(X0)) => (funny(X0) | ~humble(X0))) [input p1]
3. (humble(alice) | ~creative(alice)) <=> ? [X0] : (ri... | 0 |
Everyone who is either happy or not funny is both humble and quiet and vice versa. Everyone who is both kind and quiet is curious and vice versa. If john is both brave and not tall then john is both not patient and quiet and vice versa. If alice is both not tall and not patient then someone is both not creative and cal... | Paul is wise. | contradiction | (![X]:((happy(X)<~>~funny(X))<=>(humble(X)&quiet(X))))&
(![X]:((kind(X)&quiet(X))<=>curious(X)))&
(((brave(john)&~tall(john)))<=>((~patient(john)&quiet(john))))&
(((~tall(alice)&~patient(alice)))=>(?[X]:((~creative(X)&calm(X)))))&
((wise(paul))<=>((~strong(john)&~old(john))))&
(![X]:(strong(X)<=>humble(X)))&
((?[X]:((~... | wise(paul) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3587783205115998327124062
% SZS output start Proof for 3587783205115998327124062
5. wise(paul) <=> (~old(john) & ~strong(john)) [input p4]
16. ! [X0] : ((creative(X0) & strong(X0)) <=> (~rich(X0) | rich(X0))) [input p15]
24. wise(paul) [input hypothesis]
42. (wise(paul) | (old(john) | str... | 0 |
Everyone who is wise is not happy or not brave and vice versa.
If someone is both old and not funny then someone is generous.
If fred is curious then someone is both not kind and tall and vice versa.
If someone is both humble and brave then paul is either not generous or not old.
Everyone who is either not patient or h... | Fred is not happy. | neutral | (![X]:(wise(X)<=>(~happy(X)|~brave(X))))&
((?[X]:((old(X)&~funny(X))))=>(?[X]:(generous(X))))&
((curious(fred))<=>(?[X]:((~kind(X)&tall(X)))))&
((?[X]:((humble(X)&brave(X))))=>((~generous(paul)<~>~old(paul))))&
(![X]:((~patient(X)<~>happy(X))=>~brave(X)))&
(![X]:((generous(X)|funny(X))=>(quiet(X)<~>~happy(X))))&
(![X]:... | ~happy(fred) | [] | null | 0 |
If john is not patient then someone is not brave or not humble and vice versa.
If someone is either not calm or rich then someone is not kind.
Everyone who is not generous is not funny or not creative.
Everyone who is either not creative or not patient is either curious or not calm and vice versa.
Everyone who is eithe... | John is funny. | entailment | ((~patient(john))<=>(?[X]:((~brave(X)|~humble(X)))))&
((?[X]:((~calm(X)<~>rich(X))))=>(?[X]:(~kind(X))))&
(![X]:(~generous(X)=>(~funny(X)|~creative(X))))&
(![X]:((~creative(X)<~>~patient(X))<=>(curious(X)<~>~calm(X))))&
(![X]:((~strong(X)<~>humble(X))=>patient(X)))&
((?[X]:((kind(X)|happy(X))))=>((funny(lucy)&~humble(l... | funny(john) | [
"p0",
"p5",
"p7",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6522489083198257972924452
% SZS output start Proof for 6522489083198257972924452
1. ~patient(john) <=> ? [X0] : (~humble(X0) | ~brave(X0)) [input p0]
6. ? [X0] : (happy(X0) | kind(X0)) => (~humble(lucy) & funny(lucy)) [input p5]
8. ? [X0] : (creative(X0) | old(X0)) <=> ~brave(fred) [input... | 0 |
If someone is strong or tall then alice is not strong.
Everyone who is either funny or humble is not creative.
Everyone who is curious is humble or not old.
If paul is both generous and not generous then alice is not humble.
Everyone who is both old and curious is old or not old and vice versa.
If someone is curious or... | Paul is brave. | neutral | ((?[X]:((strong(X)|tall(X))))=>(~strong(alice)))&
(![X]:((funny(X)<~>humble(X))=>~creative(X)))&
(![X]:(curious(X)=>(humble(X)|~old(X))))&
(((generous(paul)&~generous(paul)))=>(~humble(alice)))&
(![X]:((old(X)&curious(X))<=>(old(X)|~old(X))))&
((?[X]:((curious(X)|~humble(X))))<=>(?[X]:(humble(X))))&
(![X]:((~funny(X)|k... | brave(paul) | [] | null | 0 |
If someone is either not wise or not creative then fred is either strong or not curious.
Everyone who is humble or generous is not rich or patient.
If paul is both not calm and kind then mary is either not strong or not old and vice versa.
Everyone who is happy is quiet.
If someone is either not quiet or funny then joh... | John is rich. | contradiction | ((?[X]:((~wise(X)<~>~creative(X))))=>((strong(fred)<~>~curious(fred))))&
(![X]:((humble(X)|generous(X))=>(~rich(X)|patient(X))))&
(((~calm(paul)&kind(paul)))<=>((~strong(mary)<~>~old(mary))))&
(![X]:(happy(X)=>quiet(X)))&
((?[X]:((~quiet(X)<~>funny(X))))<=>((~humble(john)<~>generous(john))))&
(((~kind(alice)|strong(ali... | rich(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5634864919940486858525888
% SZS output start Proof for 5634864919940486858525888
13. ! [X0] : ((rich(X0) & old(X0)) <=> ~old(X0)) [input p12]
24. rich(john) [input hypothesis]
58. ! [X0] : (((rich(X0) & old(X0)) | old(X0)) & (~old(X0) | (~rich(X0) | ~old(X0)))) [nnf transformation 13]
59.... | 0 |
Everyone who is either not old or not funny is patient and vice versa.
Everyone who is either not curious or not rich is either not calm or not tall.
If alice is not brave or quiet then john is either happy or not humble and vice versa.
If someone is not patient or quiet then alice is curious or creative and vice versa... | Alice is not old. | neutral | (![X]:((~old(X)<~>~funny(X))<=>patient(X)))&
(![X]:((~curious(X)<~>~rich(X))=>(~calm(X)<~>~tall(X))))&
(((~brave(alice)|quiet(alice)))<=>((happy(john)<~>~humble(john))))&
((?[X]:((~patient(X)|quiet(X))))<=>((curious(alice)|creative(alice))))&
(((strong(alice)&~kind(alice)))=>(?[X]:((quiet(X)<~>~curious(X)))))&
(![X]:((... | ~old(alice) | [] | null | 0 |
Everyone who is both brave and not creative is not generous and vice versa.
If mary is both not generous and not rich then alice is not curious and vice versa.
If mary is not quiet then someone is not humble or funny.
If lucy is either calm or wise then someone is both kind and funny and vice versa.
Everyone who is eit... | Lucy is not happy. | neutral | (![X]:((brave(X)&~creative(X))<=>~generous(X)))&
(((~generous(mary)&~rich(mary)))<=>(~curious(alice)))&
((~quiet(mary))=>(?[X]:((~humble(X)|funny(X)))))&
(((calm(lucy)<~>wise(lucy)))<=>(?[X]:((kind(X)&funny(X)))))&
(![X]:((humble(X)<~>wise(X))=>(generous(X)&~quiet(X))))&
(![X]:(~rich(X)=>(strong(X)<~>curious(X))))&
(![... | ~happy(lucy) | [] | null | 0 |
Everyone who is both not strong and not generous is both tall and curious and vice versa. If alice is either not funny or not wise then fred is rich or tall and vice versa. If someone is both not tall and not curious then alice is kind. If someone is generous or not patient then someone is either wise or not brave and ... | Mary is not quiet. | contradiction | (![X]:((~strong(X)&~generous(X))<=>(tall(X)&curious(X))))&
(((~funny(alice)<~>~wise(alice)))<=>((rich(fred)|tall(fred))))&
((?[X]:((~tall(X)&~curious(X))))=>(kind(alice)))&
((?[X]:((generous(X)|~patient(X))))<=>(?[X]:((wise(X)<~>~brave(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((happy(X)|~calm(X)))))&
(![X]:((curious(X)&~kind(... | ~quiet(mary) | [
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1472875330185337681311773
% SZS output start Proof for 1472875330185337681311773
9. ? [X0] : (~tall(X0) | kind(X0)) <=> ? [X0] : (~quiet(X0) <~> ~calm(X0)) [input p8]
11. ! [X0] : (~generous(X0) => (~funny(X0) <~> ~brave(X0))) [input p10]
12. ! [X0] : ((~tall(X0) | ~wise(X0)) <=> (~calm(X... | 0 |
Everyone who is not quiet is curious or brave and vice versa.
Everyone who is not curious is either rich or not brave and vice versa.
If someone is not rich or quiet then lucy is both not patient and not happy.
Everyone who is happy is both old and curious.
Everyone who is either not strong or not quiet is funny or qui... | Lucy is happy. | contradiction | (![X]:(~quiet(X)<=>(curious(X)|brave(X))))&
(![X]:(~curious(X)<=>(rich(X)<~>~brave(X))))&
((?[X]:((~rich(X)|quiet(X))))=>((~patient(lucy)&~happy(lucy))))&
(![X]:(happy(X)=>(old(X)&curious(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>(funny(X)|quiet(X))))&
(((~brave(susan)<~>~calm(susan)))=>((~old(susan)<~>~happy(susan))))&
... | happy(lucy) | [
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2830473856688477421565234
% SZS output start Proof for 2830473856688477421565234
3. ? [X0] : (quiet(X0) | ~rich(X0)) => (~happy(lucy) & ~patient(lucy)) [input p2]
23. ? [X0] : (curious(X0) & ~rich(X0)) [input p22]
24. happy(lucy) [input hypothesis]
26. ? [X0] : (quiet(X0) | ~rich(X0)) => ... | 0 |
Everyone who is not curious or not wise is strong or not patient.
If paul is either kind or not tall then mary is either not calm or not patient.
Everyone who is both not calm and curious is not humble or patient.
Everyone who is both generous and creative is not curious and vice versa.
Everyone who is both not creativ... | Fred is not quiet. | contradiction | (![X]:((~curious(X)|~wise(X))=>(strong(X)|~patient(X))))&
(((kind(paul)<~>~tall(paul)))=>((~calm(mary)<~>~patient(mary))))&
(![X]:((~calm(X)&curious(X))=>(~humble(X)|patient(X))))&
(![X]:((generous(X)&creative(X))<=>~curious(X)))&
(![X]:((~creative(X)&~funny(X))<=>(brave(X)|~tall(X))))&
(![X]:((~creative(X)|~strong(X))... | ~quiet(fred) | [
"p6",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4691922498684913423537235
% SZS output start Proof for 4691922498684913423537235
7. ! [X0] : ((~funny(X0) | rich(X0)) <=> (quiet(X0) | ~tall(X0))) [input p6]
12. ! [X0] : ((~happy(X0) <~> tall(X0)) => (wise(X0) & tall(X0))) [input p11]
18. ~happy(fred) & ~funny(fred) [input p17]
25. ~quie... | 0 |
Everyone who is both creative and not patient is not generous or not rich and vice versa.
Everyone who is either not brave or not old is either not funny or not kind and vice versa.
If someone is either not generous or not happy then someone is either not calm or not strong and vice versa.
Everyone who is humble or not... | Alice is not happy. | contradiction | (![X]:((creative(X)&~patient(X))<=>(~generous(X)|~rich(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~funny(X)<~>~kind(X))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((humble(X)|~quiet(X))<=>(patient(X)&tall(X))))&
(![X]:((creative(X)|kind(X))=>(wise(X)&strong(X))))&
((?[X]:((creative(X... | ~happy(alice) | [
"p0",
"p3",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 258967372850979955560227
% SZS output start Proof for 258967372850979955560227
1. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~rich(X0) | ~generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | humble(X0)) <=> (tall(X0) & patient(X0))) [input p3]
7. (happy(alice) <~> quiet(alice)) <=> ? [X... | 0 |
Everyone who is not brave is either strong or not curious and vice versa.
Everyone who is patient is either wise or not calm.
Everyone who is calm is not brave or humble.
Everyone who is both not brave and funny is both wise and not kind.
If someone is either old or brave then someone is either not wise or brave.
If so... | Paul is funny. | contradiction | (![X]:(~brave(X)<=>(strong(X)<~>~curious(X))))&
(![X]:(patient(X)=>(wise(X)<~>~calm(X))))&
(![X]:(calm(X)=>(~brave(X)|humble(X))))&
(![X]:((~brave(X)&funny(X))=>(wise(X)&~kind(X))))&
((?[X]:((old(X)<~>brave(X))))=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:((~quiet(X)<~>~happy(X))))=>((~happy(lucy)|humble(lucy))))&
(![X]:... | funny(paul) | [
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 454422962293544433626998
% SZS output start Proof for 454422962293544433626998
8. ? [X0] : (~funny(X0) <~> ~quiet(X0)) => ? [X0] : (quiet(X0) & ~happy(X0)) [input p7]
10. ! [X0] : ((patient(X0) | ~strong(X0)) => (~quiet(X0) & ~strong(X0))) [input p9]
15. ! [X0] : ((~patient(X0) & generous... | 0 |
If mary is not humble then john is curious and vice versa.
If someone is either old or brave then someone is not rich or wise and vice versa.
If someone is both old and not calm then someone is funny or kind and vice versa.
Everyone who is both not patient and not brave is not humble or not rich and vice versa.
If mary... | John is rich. | neutral | ((~humble(mary))<=>(curious(john)))&
((?[X]:((old(X)<~>brave(X))))<=>(?[X]:((~rich(X)|wise(X)))))&
((?[X]:((old(X)&~calm(X))))<=>(?[X]:((funny(X)|kind(X)))))&
(![X]:((~patient(X)&~brave(X))<=>(~humble(X)|~rich(X))))&
((funny(mary))=>(?[X]:((~curious(X)&~creative(X)))))&
((~calm(fred))<=>((quiet(susan)|curious(susan))))... | rich(john) | [] | null | 0 |
Everyone who is generous is both quiet and not humble and vice versa.
Everyone who is both humble and patient is not patient.
Everyone who is kind is curious or not generous and vice versa.
Everyone who is not patient or not strong is either not curious or not humble.
Everyone who is old is curious and vice versa.
If s... | Susan is humble. | contradiction | (![X]:(generous(X)<=>(quiet(X)&~humble(X))))&
(![X]:((humble(X)&patient(X))=>~patient(X)))&
(![X]:(kind(X)<=>(curious(X)|~generous(X))))&
(![X]:((~patient(X)|~strong(X))=>(~curious(X)<~>~humble(X))))&
(![X]:(old(X)<=>curious(X)))&
(((curious(susan)|tall(susan)))<=>(?[X]:((~humble(X)<~>~generous(X)))))&
((?[X]:((wise(X)... | humble(susan) | [
"p0",
"p1",
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8874785928049701040410667
% SZS output start Proof for 8874785928049701040410667
1. ! [X0] : (generous(X0) <=> (~humble(X0) & quiet(X0))) [input p0]
2. ! [X0] : ((patient(X0) & humble(X0)) => ~patient(X0)) [input p1]
4. ! [X0] : ((~strong(X0) | ~patient(X0)) => (~curious(X0) <~> ~humble(X... | 0 |
If someone is both generous and not tall then lucy is quiet or not creative.
If lucy is quiet or not brave then fred is either creative or not happy.
If someone is either humble or wise then someone is not happy and vice versa.
If susan is creative then someone is either brave or not kind and vice versa.
Everyone who i... | Paul is brave. | entailment | ((?[X]:((generous(X)&~tall(X))))=>((quiet(lucy)|~creative(lucy))))&
(((quiet(lucy)|~brave(lucy)))=>((creative(fred)<~>~happy(fred))))&
((?[X]:((humble(X)<~>wise(X))))<=>(?[X]:(~happy(X))))&
((creative(susan))<=>(?[X]:((brave(X)<~>~kind(X)))))&
(![X]:((old(X)|~creative(X))=>(curious(X)<~>quiet(X))))&
(![X]:((~humble(X)<... | brave(paul) | [
"p7",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3961944509155366399577269
% SZS output start Proof for 3961944509155366399577269
8. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~humble(X0) <~> brave(X0))) [input p7]
15. ! [X0] : ((~humble(X0) | ~kind(X0)) => (~happy(X0) <~> ~brave(X0))) [input p14]
18. ~happy(paul) & funny(paul) [input p17]
... | 0 |
If lucy is old then someone is rich or not old and vice versa.
If someone is quiet or wise then someone is not brave and vice versa.
If susan is not happy or not wise then lucy is either kind or not old.
If someone is curious then someone is both happy and not happy.
Everyone who is old is humble and vice versa.
If som... | Mary is not creative. | entailment | ((old(lucy))<=>(?[X]:((rich(X)|~old(X)))))&
((?[X]:((quiet(X)|wise(X))))<=>(?[X]:(~brave(X))))&
(((~happy(susan)|~wise(susan)))=>((kind(lucy)<~>~old(lucy))))&
((?[X]:(curious(X)))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:(old(X)<=>humble(X)))&
((?[X]:((~strong(X)|strong(X))))=>(?[X]:((~generous(X)<~>~humble(X)))))&
(![X]... | ~creative(mary) | [
"p8",
"p13",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2996934453855383231616002
% SZS output start Proof for 2996934453855383231616002
9. ! [X0] : ((quiet(X0) | creative(X0)) => (generous(X0) & ~wise(X0))) [input p8]
14. ! [X0] : ((strong(X0) <~> generous(X0)) <=> (~happy(X0) | rich(X0))) [input p13]
19. creative(mary) <~> ~rich(mary) [input... | 0 |
If john is either calm or not rich then lucy is curious and vice versa.
Everyone who is either curious or quiet is both not creative and happy and vice versa.
Everyone who is both not funny and not old is not rich or quiet and vice versa.
Everyone who is not tall or creative is humble and vice versa.
Everyone who is bo... | Alice is not old. | entailment | (((calm(john)<~>~rich(john)))<=>(curious(lucy)))&
(![X]:((curious(X)<~>quiet(X))<=>(~creative(X)&happy(X))))&
(![X]:((~funny(X)&~old(X))<=>(~rich(X)|quiet(X))))&
(![X]:((~tall(X)|creative(X))<=>humble(X)))&
(![X]:((~humble(X)&patient(X))=>kind(X)))&
((?[X]:(~strong(X)))<=>(?[X]:((curious(X)&wise(X)))))&
(![X]:((quiet(X... | ~old(alice) | [
"p2",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3068839358587263439952133
% SZS output start Proof for 3068839358587263439952133
3. ! [X0] : ((~old(X0) & ~funny(X0)) <=> (quiet(X0) | ~rich(X0))) [input p2]
16. ! [X0] : ((funny(X0) & ~old(X0)) <=> ~quiet(X0)) [input p15]
25. old(alice) [input hypothesis]
42. ! [X0] : (((~old(X0) & ~funn... | 0 |
Everyone who is not kind is both kind and quiet.
If someone is old or not creative then john is both patient and creative and vice versa.
If lucy is either not patient or brave then lucy is curious.
Everyone who is not brave is rich or humble and vice versa.
Everyone who is either not curious or rich is either wise or ... | Mary is not quiet. | contradiction | (![X]:(~kind(X)=>(kind(X)&quiet(X))))&
((?[X]:((old(X)|~creative(X))))<=>((patient(john)&creative(john))))&
(((~patient(lucy)<~>brave(lucy)))=>(curious(lucy)))&
(![X]:(~brave(X)<=>(rich(X)|humble(X))))&
(![X]:((~curious(X)<~>rich(X))=>(wise(X)<~>creative(X))))&
((?[X]:((generous(X)<~>~patient(X))))<=>(?[X]:((wise(X)|~c... | ~quiet(mary) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2786907632908019354837416
% SZS output start Proof for 2786907632908019354837416
1. ! [X0] : (~kind(X0) => (quiet(X0) & kind(X0))) [input p0]
15. ! [X0] : ((kind(X0) | wise(X0)) <=> (quiet(X0) & ~generous(X0))) [input p14]
24. ~quiet(mary) [input hypothesis]
27. ! [X0] : ((quiet(X0) & kin... | 0 |
If fred is not old then john is not funny.
Everyone who is both kind and not humble is curious or rich.
Everyone who is both generous and not brave is either not rich or humble and vice versa.
Everyone who is old is not creative or not old and vice versa.
Everyone who is rich is not strong.
Everyone who is both not ric... | John is wise. | neutral | ((~old(fred))=>(~funny(john)))&
(![X]:((kind(X)&~humble(X))=>(curious(X)|rich(X))))&
(![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>humble(X))))&
(![X]:(old(X)<=>(~creative(X)|~old(X))))&
(![X]:(rich(X)=>~strong(X)))&
(![X]:((~rich(X)&happy(X))=>(generous(X)<~>~happy(X))))&
((?[X]:((~humble(X)<~>wise(X))))<=>((~old(fred)... | wise(john) | [] | null | 0 |
Everyone who is strong is not patient. If susan is not humble or not old then paul is old or curious and vice versa. Everyone who is not humble is strong. If alice is patient then paul is humble or not humble and vice versa. If alice is both not patient and not kind then someone is both old and generous and vice versa.... | Alice is patient. | entailment | (![X]:(strong(X)=>~patient(X)))&
(((~humble(susan)|~old(susan)))<=>((old(paul)|curious(paul))))&
(![X]:(~humble(X)=>strong(X)))&
((patient(alice))<=>((humble(paul)|~humble(paul))))&
(((~patient(alice)&~kind(alice)))<=>(?[X]:((old(X)&generous(X)))))&
(![X]:((~kind(X)<~>~strong(X))<=>(patient(X)&~tall(X))))&
(![X]:((~hap... | patient(alice) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7259405808874460095141886
% SZS output start Proof for 7259405808874460095141886
4. patient(alice) <=> (~humble(paul) | humble(paul)) [input p3]
25. ~patient(alice) [input hypothesis]
38. (patient(alice) | (humble(paul) & ~humble(paul))) & ((~humble(paul) | humble(paul)) | ~patient(alice)... | 0 |
If mary is not curious then john is either funny or not brave. Everyone who is happy is not patient and vice versa. Everyone who is happy or not old is not curious. Everyone who is both brave and happy is both rich and not funny and vice versa. If someone is both not patient and not rich then someone is generous. Every... | Alice is not happy. | entailment | ((~curious(mary))=>((funny(john)<~>~brave(john))))&
(![X]:(happy(X)<=>~patient(X)))&
(![X]:((happy(X)|~old(X))=>~curious(X)))&
(![X]:((brave(X)&happy(X))<=>(rich(X)&~funny(X))))&
((?[X]:((~patient(X)&~rich(X))))=>(?[X]:(generous(X))))&
(![X]:(~kind(X)<=>funny(X)))&
(![X]:(humble(X)<=>(old(X)<~>~brave(X))))&
((?[X]:((~h... | ~happy(alice) | [
"p1",
"p2",
"p3",
"p5",
"p9",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6714954267862882727827565
% SZS output start Proof for 6714954267862882727827565
2. ! [X0] : (happy(X0) <=> ~patient(X0)) [input p1]
3. ! [X0] : ((~old(X0) | happy(X0)) => ~curious(X0)) [input p2]
4. ! [X0] : ((happy(X0) & brave(X0)) <=> (~funny(X0) & rich(X0))) [input p3]
6. ! [X0] : (~k... | 0 |
If mary is not rich or curious then john is kind or tall and vice versa.
Everyone who is wise or kind is not tall or not kind and vice versa.
If fred is both not wise and not funny then mary is either not funny or not quiet and vice versa.
Everyone who is both rich and wise is either not rich or tall and vice versa.
Ev... | Mary is not rich. | neutral | (((~rich(mary)|curious(mary)))<=>((kind(john)|tall(john))))&
(![X]:((wise(X)|kind(X))<=>(~tall(X)|~kind(X))))&
(((~wise(fred)&~funny(fred)))<=>((~funny(mary)<~>~quiet(mary))))&
(![X]:((rich(X)&wise(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~quiet(X)&~patient(X))=>~old(X)))&
(![X]:(~rich(X)<=>(curious(X)&~kind(X))))&
(![X]:... | ~rich(mary) | [] | null | 0 |
If someone is not old or rich then someone is both not patient and not wise and vice versa.
If susan is either strong or not generous then john is not tall or brave.
If alice is both not happy and not funny then susan is kind or quiet and vice versa.
If paul is both creative and kind then someone is patient and vice ve... | Mary is not tall. | contradiction | ((?[X]:((~old(X)|rich(X))))<=>(?[X]:((~patient(X)&~wise(X)))))&
(((strong(susan)<~>~generous(susan)))=>((~tall(john)|brave(john))))&
(((~happy(alice)&~funny(alice)))<=>((kind(susan)|quiet(susan))))&
(((creative(paul)&kind(paul)))<=>(?[X]:(patient(X))))&
((?[X]:(rich(X)))=>((~strong(lucy)&happy(lucy))))&
((?[X]:(~curiou... | ~tall(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7533877163950032254984361
% SZS output start Proof for 7533877163950032254984361
22. tall(mary) & old(mary) [input p21]
23. ~tall(mary) [input hypothesis]
130. tall(mary) [cnf transformation 22]
131. ~tall(mary) [cnf transformation 23]
333. $false [subsumption resolution 131,130]
% SZS ou... | 0 |
If someone is strong then susan is not patient and vice versa. If someone is either happy or not kind then someone is both not happy and not brave and vice versa. Everyone who is not generous is not calm or not happy and vice versa. Everyone who is either quiet or not funny is both happy and quiet and vice versa. If so... | Alice is strong. | contradiction | ((?[X]:(strong(X)))<=>(~patient(susan)))&
((?[X]:((happy(X)<~>~kind(X))))<=>(?[X]:((~happy(X)&~brave(X)))))&
(![X]:(~generous(X)<=>(~calm(X)|~happy(X))))&
(![X]:((quiet(X)<~>~funny(X))<=>(happy(X)&quiet(X))))&
((?[X]:((generous(X)<~>~creative(X))))<=>(humble(paul)))&
(![X]:((~rich(X)&~brave(X))=>(~brave(X)&~curious(X))... | strong(alice) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 498761982981320277087564
% SZS output start Proof for 498761982981320277087564
1. ? [X0] : strong(X0) <=> ~patient(susan) [input p0]
12. ! [X0] : (patient(X0) <=> (~funny(X0) | ~patient(X0))) [input p11]
21. strong(alice) [input hypothesis]
30. (? [X0] : strong(X0) | patient(susan)) & (~p... | 0 |
If john is both old and not wise then mary is both rich and not calm and vice versa.
Everyone who is either not old or not happy is not brave and vice versa.
Everyone who is calm or strong is both quiet and curious and vice versa.
Everyone who is both not strong and not kind is not happy or quiet.
Everyone who is both ... | Paul is not strong. | contradiction | (((old(john)&~wise(john)))<=>((rich(mary)&~calm(mary))))&
(![X]:((~old(X)<~>~happy(X))<=>~brave(X)))&
(![X]:((calm(X)|strong(X))<=>(quiet(X)&curious(X))))&
(![X]:((~strong(X)&~kind(X))=>(~happy(X)|quiet(X))))&
(![X]:((quiet(X)&~tall(X))=>(generous(X)|calm(X))))&
(![X]:(calm(X)<=>(~funny(X)<~>~old(X))))&
(![X]:((patient... | ~strong(paul) | [
"p1",
"p2",
"p7",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4845159815757725830940009
% SZS output start Proof for 4845159815757725830940009
2. ! [X0] : ((~old(X0) <~> ~happy(X0)) <=> ~brave(X0)) [input p1]
3. ! [X0] : ((strong(X0) | calm(X0)) <=> (curious(X0) & quiet(X0))) [input p2]
8. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (~strong(X0) & ~brave(... | 0 |
If lucy is both not funny and strong then someone is either strong or generous. If susan is either creative or not generous then someone is either funny or humble. Everyone who is brave or curious is strong or quiet. Everyone who is not brave or not quiet is both kind and not tall and vice versa. If lucy is not funny o... | Paul is quiet. | contradiction | (((~funny(lucy)&strong(lucy)))=>(?[X]:((strong(X)<~>generous(X)))))&
(((creative(susan)<~>~generous(susan)))=>(?[X]:((funny(X)<~>humble(X)))))&
(![X]:((brave(X)|curious(X))=>(strong(X)|quiet(X))))&
(![X]:((~brave(X)|~quiet(X))<=>(kind(X)&~tall(X))))&
(((~funny(lucy)|brave(lucy)))<=>(?[X]:((funny(X)|happy(X)))))&
(((~br... | quiet(paul) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 135188703317838670047297
% SZS output start Proof for 135188703317838670047297
18. strong(paul) & ~quiet(paul) [input p17]
25. quiet(paul) [input hypothesis]
132. ~quiet(paul) [cnf transformation 18]
142. quiet(paul) [cnf transformation 25]
355. $false [subsumption resolution 142,132]
% S... | 0 |
If someone is either not happy or calm then fred is not funny.
Everyone who is not old or not patient is funny or not kind and vice versa.
Everyone who is either wise or funny is not old and vice versa.
If paul is both not old and not strong then someone is not patient or not tall and vice versa.
If john is not tall or... | Mary is funny. | contradiction | ((?[X]:((~happy(X)<~>calm(X))))=>(~funny(fred)))&
(![X]:((~old(X)|~patient(X))<=>(funny(X)|~kind(X))))&
(![X]:((wise(X)<~>funny(X))<=>~old(X)))&
(((~old(paul)&~strong(paul)))<=>(?[X]:((~patient(X)|~tall(X)))))&
(((~tall(john)|~funny(john)))<=>(?[X]:(generous(X))))&
(![X]:((~funny(X)<~>tall(X))<=>(~kind(X)&~old(X))))&
(... | funny(mary) | [
"p1",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 681501833778621077723076
% SZS output start Proof for 681501833778621077723076
2. ! [X0] : ((~patient(X0) | ~old(X0)) <=> (~kind(X0) | funny(X0))) [input p1]
14. ! [X0] : (~old(X0) => (~funny(X0) & ~happy(X0))) [input p13]
19. patient(mary) [input p18]
23. funny(mary) [input hypothesis]
3... | 0 |
Everyone who is both quiet and brave is either old or not funny and vice versa.
If alice is not quiet or funny then alice is either not quiet or patient.
If someone is either wise or not old then alice is either curious or generous.
Everyone who is both not patient and patient is happy or not brave and vice versa.
If s... | Alice is generous. | entailment | (![X]:((quiet(X)&brave(X))<=>(old(X)<~>~funny(X))))&
(((~quiet(alice)|funny(alice)))=>((~quiet(alice)<~>patient(alice))))&
((?[X]:((wise(X)<~>~old(X))))=>((curious(alice)<~>generous(alice))))&
(![X]:((~patient(X)&patient(X))<=>(happy(X)|~brave(X))))&
((?[X]:(~patient(X)))=>(~happy(john)))&
((?[X]:((quiet(X)&~curious(X)... | generous(alice) | [
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3871266101304444092603501
% SZS output start Proof for 3871266101304444092603501
4. ! [X0] : ((patient(X0) & ~patient(X0)) <=> (~brave(X0) | happy(X0))) [input p3]
10. ! [X0] : ((~curious(X0) & brave(X0)) <=> (quiet(X0) <~> ~curious(X0))) [input p9]
15. ! [X0] : ((~quiet(X0) | patient(X0)... | 0 |
Everyone who is humble or tall is both humble and brave and vice versa.
Everyone who is not wise is both old and kind and vice versa.
If someone is humble then fred is either not tall or not strong.
If someone is both patient and not calm then alice is brave and vice versa.
If lucy is calm or not happy then someone is ... | Alice is not old. | entailment | (![X]:((humble(X)|tall(X))<=>(humble(X)&brave(X))))&
(![X]:(~wise(X)<=>(old(X)&kind(X))))&
((?[X]:(humble(X)))=>((~tall(fred)<~>~strong(fred))))&
((?[X]:((patient(X)&~calm(X))))<=>(brave(alice)))&
(((calm(lucy)|~happy(lucy)))<=>(?[X]:((~humble(X)&~tall(X)))))&
(![X]:((~wise(X)&happy(X))<=>(happy(X)<~>kind(X))))&
((?[X]... | ~old(alice) | [
"p0",
"p1",
"p5",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1101716588061468109558733
% SZS output start Proof for 1101716588061468109558733
1. ! [X0] : ((tall(X0) | humble(X0)) <=> (brave(X0) & humble(X0))) [input p0]
2. ! [X0] : (~wise(X0) <=> (kind(X0) & old(X0))) [input p1]
6. ! [X0] : ((happy(X0) & ~wise(X0)) <=> (happy(X0) <~> kind(X0))) [in... | 0 |
Everyone who is either patient or not calm is tall.
Everyone who is not tall is either not tall or not quiet and vice versa.
If fred is either not brave or not quiet then someone is both not old and not kind.
Everyone who is humble is not rich or wise and vice versa.
Everyone who is not rich or rich is happy or curious... | Alice is creative. | contradiction | (![X]:((patient(X)<~>~calm(X))=>tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)<~>~quiet(X))))&
(((~brave(fred)<~>~quiet(fred)))=>(?[X]:((~old(X)&~kind(X)))))&
(![X]:(humble(X)<=>(~rich(X)|wise(X))))&
(![X]:((~rich(X)|rich(X))=>(happy(X)|curious(X))))&
((?[X]:((curious(X)|~generous(X))))<=>(?[X]:(~brave(X))))&
(((~wise(alice)|w... | creative(alice) | [
"p1",
"p5",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3198632091981167867555551
% SZS output start Proof for 3198632091981167867555551
2. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> ~quiet(X0))) [input p1]
6. ? [X0] : (~generous(X0) | curious(X0)) <=> ? [X0] : ~brave(X0) [input p5]
9. ! [X0] : ((humble(X0) <~> ~brave(X0)) <=> (humble(X0) <~> calm... | 0 |
If someone is either rich or not generous then fred is not kind.
Everyone who is either kind or not happy is either not funny or quiet and vice versa.
Everyone who is both not strong and not curious is either not kind or curious and vice versa.
If someone is both not brave and generous then someone is not kind or funny... | John is not creative. | contradiction | ((?[X]:((rich(X)<~>~generous(X))))=>(~kind(fred)))&
(![X]:((kind(X)<~>~happy(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:((~strong(X)&~curious(X))<=>(~kind(X)<~>curious(X))))&
((?[X]:((~brave(X)&generous(X))))<=>(?[X]:((~kind(X)|funny(X)))))&
(![X]:(~humble(X)=>(kind(X)<~>~patient(X))))&
((?[X]:((generous(X)&~curious(X))))=>... | ~creative(john) | [
"p3",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5954111932421030852307402
% SZS output start Proof for 5954111932421030852307402
4. ? [X0] : (generous(X0) & ~brave(X0)) <=> ? [X0] : (funny(X0) | ~kind(X0)) [input p3]
13. creative(john) <=> ? [X0] : (generous(X0) | ~patient(X0)) [input p12]
23. funny(susan) [input p22]
25. ~creative(joh... | 0 |
Everyone who is not humble is creative.
Everyone who is either not rich or brave is either not rich or not quiet.
If someone is both not curious and not generous then someone is rich and vice versa.
If someone is both not generous and patient then mary is kind or not kind.
If someone is both not strong and not brave th... | Mary is quiet. | contradiction | (![X]:(~humble(X)=>creative(X)))&
(![X]:((~rich(X)<~>brave(X))=>(~rich(X)<~>~quiet(X))))&
((?[X]:((~curious(X)&~generous(X))))<=>(?[X]:(rich(X))))&
((?[X]:((~generous(X)&patient(X))))=>((kind(mary)|~kind(mary))))&
((?[X]:((~strong(X)&~brave(X))))<=>((~tall(paul)&quiet(paul))))&
(![X]:((tall(X)<~>patient(X))<=>(~quiet(X... | quiet(mary) | [
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5406979279100648680307954
% SZS output start Proof for 5406979279100648680307954
12. ! [X0] : ((~kind(X0) | ~calm(X0)) => ~happy(X0)) [input p11]
14. ! [X0] : ((~wise(X0) & quiet(X0)) <=> (kind(X0) & wise(X0))) [input p13]
18. happy(mary) & ~humble(mary) [input p17]
25. quiet(mary) [input... | 0 |
If someone is old then paul is either not creative or not wise.
Everyone who is both not brave and tall is either tall or not happy and vice versa.
Everyone who is either not generous or tall is not calm or not tall.
Everyone who is either not quiet or wise is not rich.
Everyone who is rich or generous is rich or not f... | Paul is not patient. | neutral | ((?[X]:(old(X)))=>((~creative(paul)<~>~wise(paul))))&
(![X]:((~brave(X)&tall(X))<=>(tall(X)<~>~happy(X))))&
(![X]:((~generous(X)<~>tall(X))=>(~calm(X)|~tall(X))))&
(![X]:((~quiet(X)<~>wise(X))=>~rich(X)))&
(![X]:((rich(X)|generous(X))<=>(rich(X)|~funny(X))))&
(![X]:((~calm(X)&~brave(X))=>(happy(X)&strong(X))))&
(![X]:(... | ~patient(paul) | [] | null | 0 |
If someone is brave then john is both curious and wise and vice versa.
If fred is either patient or not wise then someone is both not funny and curious.
Everyone who is not calm or not funny is both not wise and kind and vice versa.
If lucy is either not kind or not creative then paul is either not humble or not tall a... | Susan is not wise. | entailment | ((?[X]:(brave(X)))<=>((curious(john)&wise(john))))&
(((patient(fred)<~>~wise(fred)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((~calm(X)|~funny(X))<=>(~wise(X)&kind(X))))&
(((~kind(lucy)<~>~creative(lucy)))<=>((~humble(paul)<~>~tall(paul))))&
(![X]:(old(X)<=>(~happy(X)|wise(X))))&
(![X]:((~funny(X)&calm(X))=>(~tall(X)|... | ~wise(susan) | [
"p2",
"p6",
"p9",
"p14",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1956559487882501593953374
% SZS output start Proof for 1956559487882501593953374
3. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (kind(X0) & ~wise(X0))) [input p2]
7. ? [X0] : creative(X0) => (~generous(lucy) <~> kind(lucy)) [input p6]
10. ! [X0] : ((~brave(X0) | creative(X0)) => (~funny(X0) <~... | 0 |
If alice is creative or old then john is old or not kind and vice versa.
Everyone who is quiet or creative is not humble or not strong.
If john is not funny then alice is not tall and vice versa.
Everyone who is not kind is either not curious or not kind and vice versa.
If someone is both wise and not brave then someon... | Mary is curious. | entailment | (((creative(alice)|old(alice)))<=>((old(john)|~kind(john))))&
(![X]:((quiet(X)|creative(X))=>(~humble(X)|~strong(X))))&
((~funny(john))<=>(~tall(alice)))&
(![X]:(~kind(X)<=>(~curious(X)<~>~kind(X))))&
((?[X]:((wise(X)&~brave(X))))<=>(?[X]:(~generous(X))))&
(![X]:((~creative(X)|~generous(X))<=>kind(X)))&
(((~tall(susan)... | curious(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 4497763928111366888716465
% SZS output start Proof for 4497763928111366888716465
4. ! [X0] : (~kind(X0) <=> (~curious(X0) <~> ~kind(X0))) [input p3]
25. ~curious(mary) [input hypothesis]
34. ! [X0] : ((~kind(X0) | ((~curious(X0) | kind(X0)) & (~kind(X0) | curious(X0)))) & (((kind(X0) | cu... | 0 |
If someone is both brave and not generous then john is either not creative or generous and vice versa.
Everyone who is patient is both not humble and not creative.
Everyone who is quiet or tall is calm.
Everyone who is old or creative is calm or funny.
If fred is rich or not happy then susan is both not calm and funny.... | John is not rich. | neutral | ((?[X]:((brave(X)&~generous(X))))<=>((~creative(john)<~>generous(john))))&
(![X]:(patient(X)=>(~humble(X)&~creative(X))))&
(![X]:((quiet(X)|tall(X))=>calm(X)))&
(![X]:((old(X)|creative(X))=>(calm(X)|funny(X))))&
(((rich(fred)|~happy(fred)))=>((~calm(susan)&funny(susan))))&
(![X]:((rich(X)&~strong(X))=>(old(X)&~curious(... | ~rich(john) | [] | null | 0 |
If john is either not rich or not strong then fred is not wise.
Everyone who is not calm is both not old and not funny.
If someone is either not generous or not brave then mary is not quiet or creative and vice versa.
Everyone who is creative is either patient or generous and vice versa.
Everyone who is both happy and ... | Mary is not generous. | contradiction | (((~rich(john)<~>~strong(john)))=>(~wise(fred)))&
(![X]:(~calm(X)=>(~old(X)&~funny(X))))&
((?[X]:((~generous(X)<~>~brave(X))))<=>((~quiet(mary)|creative(mary))))&
(![X]:(creative(X)<=>(patient(X)<~>generous(X))))&
(![X]:((happy(X)&~generous(X))=>(quiet(X)<~>~patient(X))))&
(![X]:(~curious(X)<=>~brave(X)))&
(![X]:(kind(... | ~generous(mary) | [
"p2",
"p3",
"p8",
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1980158112971618413662155
% SZS output start Proof for 1980158112971618413662155
3. ? [X0] : (~generous(X0) <~> ~brave(X0)) <=> (creative(mary) | ~quiet(mary)) [input p2]
4. ! [X0] : (creative(X0) <=> (patient(X0) <~> generous(X0))) [input p3]
9. ! [X0] : ((rich(X0) | ~quiet(X0)) => (kind... | 0 |
Everyone who is both quiet and humble is both brave and quiet.
Everyone who is either generous or not brave is both patient and strong and vice versa.
Everyone who is not brave is old.
If someone is both curious and humble then mary is strong or kind.
Everyone who is both patient and not quiet is either creative or not... | Alice is humble. | entailment | (![X]:((quiet(X)&humble(X))=>(brave(X)&quiet(X))))&
(![X]:((generous(X)<~>~brave(X))<=>(patient(X)&strong(X))))&
(![X]:(~brave(X)=>old(X)))&
((?[X]:((curious(X)&humble(X))))=>((strong(mary)|kind(mary))))&
(![X]:((patient(X)&~quiet(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((~curious(X)|rich(X))=>(tall(X)|~strong(X)))... | humble(alice) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7864796084194134234224111
% SZS output start Proof for 7864796084194134234224111
5. ! [X0] : ((~quiet(X0) & patient(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p4]
9. ! [X0] : ((quiet(X0) <~> ~humble(X0)) => ~patient(X0)) [input p8]
22. ~humble(alice) [input hypothesis]
31. ! [X0] :... | 0 |
Everyone who is not old is strong or not quiet and vice versa.
If lucy is both not strong and tall then someone is patient and vice versa.
If fred is tall then someone is happy or rich and vice versa.
Everyone who is not humble or not strong is both old and happy and vice versa.
If someone is both funny and rich then a... | Mary is creative. | neutral | (![X]:(~old(X)<=>(strong(X)|~quiet(X))))&
(((~strong(lucy)&tall(lucy)))<=>(?[X]:(patient(X))))&
((tall(fred))<=>(?[X]:((happy(X)|rich(X)))))&
(![X]:((~humble(X)|~strong(X))<=>(old(X)&happy(X))))&
((?[X]:((funny(X)&rich(X))))=>((~creative(alice)|~funny(alice))))&
((?[X]:((old(X)&brave(X))))=>((old(susan)<~>~tall(susan))... | creative(mary) | [] | null | 0 |
If lucy is either not creative or tall then someone is both not kind and not creative and vice versa. Everyone who is tall or not strong is not curious. If john is not tall then mary is either not creative or not rich. If someone is either funny or quiet then someone is both not brave and brave and vice versa. If fred ... | Paul is funny. | entailment | (((~creative(lucy)<~>tall(lucy)))<=>(?[X]:((~kind(X)&~creative(X)))))&
(![X]:((tall(X)|~strong(X))=>~curious(X)))&
((~tall(john))=>((~creative(mary)<~>~rich(mary))))&
((?[X]:((funny(X)<~>quiet(X))))<=>(?[X]:((~brave(X)&brave(X)))))&
(((funny(fred)&~humble(fred)))<=>((tall(alice)&~strong(alice))))&
(![X]:(kind(X)=>(curi... | funny(paul) | [
"p3",
"p6",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7242081071575927304674758
% SZS output start Proof for 7242081071575927304674758
4. ? [X0] : (funny(X0) <~> quiet(X0)) <=> ? [X0] : (brave(X0) & ~brave(X0)) [input p3]
7. ! [X0] : ((kind(X0) <~> creative(X0)) <=> (quiet(X0) & ~brave(X0))) [input p6]
16. ! [X0] : (kind(X0) => (funny(X0) & ... | 0 |
Everyone who is both not rich and curious is creative and vice versa.
If mary is both generous and old then lucy is quiet or curious.
Everyone who is not rich is both rich and not brave and vice versa.
Everyone who is not happy or not patient is both creative and not strong and vice versa.
Everyone who is calm or not s... | Fred is not kind. | contradiction | (![X]:((~rich(X)&curious(X))<=>creative(X)))&
(((generous(mary)&old(mary)))=>((quiet(lucy)|curious(lucy))))&
(![X]:(~rich(X)<=>(rich(X)&~brave(X))))&
(![X]:((~happy(X)|~patient(X))<=>(creative(X)&~strong(X))))&
(![X]:((calm(X)|~strong(X))<=>(~brave(X)<~>~rich(X))))&
((?[X]:((~strong(X)|~quiet(X))))=>((~quiet(fred)|~ric... | ~kind(fred) | [
"p2",
"p3",
"p4",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4379542938058649824781018
% SZS output start Proof for 4379542938058649824781018
3. ! [X0] : (~rich(X0) <=> (~brave(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> (~strong(X0) & creative(X0))) [input p3]
5. ! [X0] : ((~strong(X0) | calm(X0)) <=> (~brave(X0) <~> ~... | 0 |
Everyone who is brave or rich is both not wise and not brave and vice versa.
Everyone who is both old and generous is not tall or calm.
Everyone who is either not humble or calm is not happy or not kind and vice versa.
If someone is wise then susan is both rich and quiet.
Everyone who is not rich or not quiet is not ca... | Alice is not wise. | entailment | (![X]:((brave(X)|rich(X))<=>(~wise(X)&~brave(X))))&
(![X]:((old(X)&generous(X))=>(~tall(X)|calm(X))))&
(![X]:((~humble(X)<~>calm(X))<=>(~happy(X)|~kind(X))))&
((?[X]:(wise(X)))=>((rich(susan)&quiet(susan))))&
(![X]:((~rich(X)|~quiet(X))<=>(~calm(X)|~brave(X))))&
(![X]:(~calm(X)<=>(~old(X)|~happy(X))))&
(![X]:((strong(X... | ~wise(alice) | [
"p0",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6075774095142431896262541
% SZS output start Proof for 6075774095142431896262541
1. ! [X0] : ((rich(X0) | brave(X0)) <=> (~brave(X0) & ~wise(X0))) [input p0]
4. ? [X0] : wise(X0) => (quiet(susan) & rich(susan)) [input p3]
5. ! [X0] : ((~quiet(X0) | ~rich(X0)) <=> (~brave(X0) | ~calm(X0)))... | 0 |
Everyone who is both not humble and funny is creative or kind and vice versa.
Everyone who is either not quiet or old is wise or humble and vice versa.
If someone is both not quiet and brave then lucy is patient or old and vice versa.
Everyone who is either not rich or not humble is not tall and vice versa.
If someone ... | Alice is not wise. | neutral | (![X]:((~humble(X)&funny(X))<=>(creative(X)|kind(X))))&
(![X]:((~quiet(X)<~>old(X))<=>(wise(X)|humble(X))))&
((?[X]:((~quiet(X)&brave(X))))<=>((patient(lucy)|old(lucy))))&
(![X]:((~rich(X)<~>~humble(X))<=>~tall(X)))&
((?[X]:((curious(X)|rich(X))))=>(?[X]:((~tall(X)&happy(X)))))&
(((old(alice)|~rich(alice)))<=>((~humble... | ~wise(alice) | [] | null | 0 |
If someone is generous then lucy is kind or happy and vice versa.
If alice is not creative or not curious then someone is strong and vice versa.
Everyone who is both not calm and rich is wise.
Everyone who is happy or strong is either not calm or calm and vice versa.
Everyone who is either not old or not funny is eithe... | Mary is not humble. | neutral | ((?[X]:(generous(X)))<=>((kind(lucy)|happy(lucy))))&
(((~creative(alice)|~curious(alice)))<=>(?[X]:(strong(X))))&
(![X]:((~calm(X)&rich(X))=>wise(X)))&
(![X]:((happy(X)|strong(X))<=>(~calm(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:((quiet(X)&~creative(X))<=>(~tall(X)|creative(X... | ~humble(mary) | [] | null | 0 |
Everyone who is both funny and not wise is either not old or not humble. If fred is both calm and not kind then susan is not tall. Everyone who is not generous is brave and vice versa. Everyone who is both patient and creative is not curious. If someone is both not happy and funny then someone is both not wise and rich... | Mary is not wise. | neutral | (![X]:((funny(X)&~wise(X))=>(~old(X)<~>~humble(X))))&
(((calm(fred)&~kind(fred)))=>(~tall(susan)))&
(![X]:(~generous(X)<=>brave(X)))&
(![X]:((patient(X)&creative(X))=>~curious(X)))&
((?[X]:((~happy(X)&funny(X))))<=>(?[X]:((~wise(X)&rich(X)))))&
((?[X]:(funny(X)))=>(wise(mary)))&
(((brave(paul)|~strong(paul)))=>(?[X]:((... | ~wise(mary) | [] | null | 0 |
If someone is not old then someone is both not curious and curious.
Everyone who is not rich is either not wise or funny.
Everyone who is patient or calm is humble or not wise.
Everyone who is both calm and not generous is not strong and vice versa.
If fred is not strong then mary is strong or not happy and vice versa.... | Fred is generous. | neutral | ((?[X]:(~old(X)))=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:(~rich(X)=>(~wise(X)<~>funny(X))))&
(![X]:((patient(X)|calm(X))=>(humble(X)|~wise(X))))&
(![X]:((calm(X)&~generous(X))<=>~strong(X)))&
((~strong(fred))<=>((strong(mary)|~happy(mary))))&
((?[X]:((patient(X)|curious(X))))=>(?[X]:((funny(X)|kind(X)))))&
(((humbl... | generous(fred) | [] | null | 0 |
Everyone who is brave or humble is humble or patient and vice versa.
Everyone who is not old or happy is both not creative and kind and vice versa.
Everyone who is either humble or not curious is either not happy or strong.
If someone is not funny then someone is quiet or funny and vice versa.
Everyone who is both stro... | Paul is quiet. | neutral | (![X]:((brave(X)|humble(X))<=>(humble(X)|patient(X))))&
(![X]:((~old(X)|happy(X))<=>(~creative(X)&kind(X))))&
(![X]:((humble(X)<~>~curious(X))=>(~happy(X)<~>strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((quiet(X)|funny(X)))))&
(![X]:((strong(X)&patient(X))=>(tall(X)<~>~creative(X))))&
((?[X]:(~patient(X)))=>(?[X]:((tall(X... | quiet(paul) | [] | null | 0 |
If someone is not wise or creative then john is both generous and not curious.
Everyone who is brave or strong is kind or curious and vice versa.
If john is quiet then lucy is not brave.
Everyone who is either old or not tall is both patient and wise and vice versa.
If someone is both not quiet and funny then john is q... | John is generous. | entailment | ((?[X]:((~wise(X)|creative(X))))=>((generous(john)&~curious(john))))&
(![X]:((brave(X)|strong(X))<=>(kind(X)|curious(X))))&
((quiet(john))=>(~brave(lucy)))&
(![X]:((old(X)<~>~tall(X))<=>(patient(X)&wise(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>((quiet(john)|curious(john))))&
((?[X]:((~rich(X)|~brave(X))))=>((~wise(mary)... | generous(john) | [
"p0",
"p5",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 777323565201292668632709
% SZS output start Proof for 777323565201292668632709
1. ? [X0] : (creative(X0) | ~wise(X0)) => (~curious(john) & generous(john)) [input p0]
6. ? [X0] : (~brave(X0) | ~rich(X0)) => (calm(mary) & ~wise(mary)) [input p5]
19. ? [X0] : (~kind(X0) & ~rich(X0)) [input p... | 0 |
Everyone who is not strong or not curious is strong. If someone is generous or tall then susan is generous. If paul is either not wise or not curious then john is creative or not curious. Everyone who is either not old or not strong is both quiet and not funny and vice versa. If alice is not quiet then paul is not crea... | Paul is not kind. | neutral | (![X]:((~strong(X)|~curious(X))=>strong(X)))&
((?[X]:((generous(X)|tall(X))))=>(generous(susan)))&
(((~wise(paul)<~>~curious(paul)))=>((creative(john)|~curious(john))))&
(![X]:((~old(X)<~>~strong(X))<=>(quiet(X)&~funny(X))))&
((~quiet(alice))=>(~creative(paul)))&
((?[X]:((~humble(X)|wise(X))))<=>(?[X]:((~quiet(X)|~crea... | ~kind(paul) | [] | null | 0 |
If susan is either kind or not creative then susan is not calm or generous and vice versa. If john is both curious and not generous then someone is both brave and not brave. Everyone who is either happy or humble is either generous or not patient. Everyone who is not old is not humble and vice versa. If fred is either ... | Fred is humble. | entailment | (((kind(susan)<~>~creative(susan)))<=>((~calm(susan)|generous(susan))))&
(((curious(john)&~generous(john)))=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:((happy(X)<~>humble(X))=>(generous(X)<~>~patient(X))))&
(![X]:(~old(X)<=>~humble(X)))&
(((~funny(fred)<~>~kind(fred)))=>(?[X]:((calm(X)|tall(X)))))&
(![X]:(wise(X)=>(~strong... | humble(fred) | [
"p3",
"p8",
"p9",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1271208496953386321907
% SZS output start Proof for 1271208496953386321907
4. ! [X0] : (~old(X0) <=> ~humble(X0)) [input p3]
9. ! [X0] : ((~quiet(X0) & wise(X0)) <=> (quiet(X0) | ~funny(X0))) [input p8]
10. ! [X0] : ((old(X0) <~> funny(X0)) <=> (wise(X0) | curious(X0))) [input p9]
15. ! [... | 0 |
Everyone who is both not funny and not calm is both not curious and not kind and vice versa. If someone is brave or not curious then someone is both not humble and patient and vice versa. If someone is both not strong and tall then someone is either not kind or quiet and vice versa. Everyone who is either happy or gene... | Fred is not wise. | entailment | (![X]:((~funny(X)&~calm(X))<=>(~curious(X)&~kind(X))))&
((?[X]:((brave(X)|~curious(X))))<=>(?[X]:((~humble(X)&patient(X)))))&
((?[X]:((~strong(X)&tall(X))))<=>(?[X]:((~kind(X)<~>quiet(X)))))&
(![X]:((happy(X)<~>generous(X))=>wise(X)))&
(((kind(lucy)<~>curious(lucy)))<=>(~generous(alice)))&
(((tall(mary)&kind(mary)))=>(... | ~wise(fred) | [
"p6",
"p10",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6581237635233723035115744
% SZS output start Proof for 6581237635233723035115744
7. ? [X0] : generous(X0) => ? [X0] : (funny(X0) & rich(X0)) [input p6]
11. (patient(john) & curious(john)) <=> ~strong(fred) [input p10]
13. (~wise(fred) <~> ~strong(fred)) <=> ? [X0] : (brave(X0) | rich(X0))... | 0 |
Everyone who is not old is not quiet or not generous.
If fred is not generous then someone is happy or not brave and vice versa.
If lucy is both not brave and brave then someone is strong or brave.
If mary is not kind then fred is not happy and vice versa.
Everyone who is not rich or not wise is both not curious and ri... | Mary is creative. | neutral | (![X]:(~old(X)=>(~quiet(X)|~generous(X))))&
((~generous(fred))<=>(?[X]:((happy(X)|~brave(X)))))&
(((~brave(lucy)&brave(lucy)))=>(?[X]:((strong(X)|brave(X)))))&
((~kind(mary))<=>(~happy(fred)))&
(![X]:((~rich(X)|~wise(X))<=>(~curious(X)&rich(X))))&
(![X]:(~quiet(X)=>(rich(X)<~>~brave(X))))&
(![X]:((generous(X)<~>tall(X)... | creative(mary) | [] | null | 0 |
Everyone who is curious is not brave and vice versa.
If someone is rich or wise then someone is patient.
Everyone who is humble or not creative is either wise or not old and vice versa.
If lucy is either humble or wise then someone is both not quiet and patient and vice versa.
Everyone who is not creative is both stron... | Alice is not quiet. | entailment | (![X]:(curious(X)<=>~brave(X)))&
((?[X]:((rich(X)|wise(X))))=>(?[X]:(patient(X))))&
(![X]:((humble(X)|~creative(X))<=>(wise(X)<~>~old(X))))&
(((humble(lucy)<~>wise(lucy)))<=>(?[X]:((~quiet(X)&patient(X)))))&
(![X]:(~creative(X)<=>(strong(X)&creative(X))))&
(![X]:(~brave(X)<=>(brave(X)&~generous(X))))&
(![X]:((~quiet(X)... | ~quiet(alice) | [
"p4",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2867020764686355183223281
% SZS output start Proof for 2867020764686355183223281
5. ! [X0] : (~creative(X0) <=> (creative(X0) & strong(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) <~> kind(X0)) <=> (~calm(X0) <~> kind(X0))) [input p6]
9. ! [X0] : (~calm(X0) <=> creative(X0)) [input p8]
23. q... | 0 |
If someone is either not quiet or not humble then someone is either not wise or funny. If someone is quiet or not patient then paul is curious and vice versa. Everyone who is not creative is either not generous or funny and vice versa. If someone is both curious and rich then someone is both patient and not tall and vi... | Paul is curious. | entailment | ((?[X]:((~quiet(X)<~>~humble(X))))=>(?[X]:((~wise(X)<~>funny(X)))))&
((?[X]:((quiet(X)|~patient(X))))<=>(curious(paul)))&
(![X]:(~creative(X)<=>(~generous(X)<~>funny(X))))&
((?[X]:((curious(X)&rich(X))))<=>(?[X]:((patient(X)&~tall(X)))))&
(![X]:(~curious(X)<=>old(X)))&
(![X]:((~old(X)<~>~happy(X))=>strong(X)))&
((?[X]:... | curious(paul) | [
"p1",
"p3",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5456705242845958814296418
% SZS output start Proof for 5456705242845958814296418
2. ? [X0] : (~patient(X0) | quiet(X0)) <=> curious(paul) [input p1]
4. ? [X0] : (rich(X0) & curious(X0)) <=> ? [X0] : (~tall(X0) & patient(X0)) [input p3]
12. ? [X0] : rich(X0) => ? [X0] : (~rich(X0) & ~patie... | 0 |
Everyone who is not brave or happy is both quiet and not brave.
Everyone who is either not curious or strong is either not patient or happy.
If someone is both generous and not tall then alice is patient or not humble.
Everyone who is either happy or not old is both generous and creative and vice versa.
If john is both... | John is quiet. | entailment | (![X]:((~brave(X)|happy(X))=>(quiet(X)&~brave(X))))&
(![X]:((~curious(X)<~>strong(X))=>(~patient(X)<~>happy(X))))&
((?[X]:((generous(X)&~tall(X))))=>((patient(alice)|~humble(alice))))&
(![X]:((happy(X)<~>~old(X))<=>(generous(X)&creative(X))))&
(((old(john)&tall(john)))<=>(?[X]:((~calm(X)|~quiet(X)))))&
((~humble(alice)... | quiet(john) | [
"p0",
"p1",
"p3",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 416016446118171860264268
% SZS output start Proof for 416016446118171860264268
1. ! [X0] : ((happy(X0) | ~brave(X0)) => (~brave(X0) & quiet(X0))) [input p0]
2. ! [X0] : ((~curious(X0) <~> strong(X0)) => (~patient(X0) <~> happy(X0))) [input p1]
4. ! [X0] : ((happy(X0) <~> ~old(X0)) <=> (cr... | 0 |
Everyone who is not tall is both happy and not rich and vice versa. If john is not calm or old then someone is humble and vice versa. Everyone who is tall is either rich or not generous. Everyone who is not rich is quiet and vice versa. Everyone who is funny is both not patient and old and vice versa. Everyone who is b... | Paul is old. | contradiction | (![X]:(~tall(X)<=>(happy(X)&~rich(X))))&
(((~calm(john)|old(john)))<=>(?[X]:(humble(X))))&
(![X]:(tall(X)=>(rich(X)<~>~generous(X))))&
(![X]:(~rich(X)<=>quiet(X)))&
(![X]:(funny(X)<=>(~patient(X)&old(X))))&
(![X]:((~generous(X)&~strong(X))<=>creative(X)))&
(![X]:(~humble(X)<=>~tall(X)))&
(((~brave(mary)|funny(mary)))=>... | old(paul) | [
"p4",
"p6",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3061669946250161867166779
% SZS output start Proof for 3061669946250161867166779
5. ! [X0] : (funny(X0) <=> (old(X0) & ~patient(X0))) [input p4]
7. ! [X0] : (~humble(X0) <=> ~tall(X0)) [input p6]
13. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> ~funny(X0)) [input p12]
23. ~tall(paul) [input... | 0 |
If someone is not quiet then fred is both generous and not happy. Everyone who is either not calm or not funny is both tall and kind. Everyone who is either strong or curious is not curious or not happy and vice versa. Everyone who is both not calm and not funny is both not rich and not brave and vice versa. Everyone w... | Paul is funny. | entailment | ((?[X]:(~quiet(X)))=>((generous(fred)&~happy(fred))))&
(![X]:((~calm(X)<~>~funny(X))=>(tall(X)&kind(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~curious(X)|~happy(X))))&
(![X]:((~calm(X)&~funny(X))<=>(~rich(X)&~brave(X))))&
(![X]:((~wise(X)|~quiet(X))=>~curious(X)))&
((?[X]:((~humble(X)|wise(X))))=>((~rich(susan)|quiet(s... | funny(paul) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4313675914669555693483018
% SZS output start Proof for 4313675914669555693483018
2. ! [X0] : ((~calm(X0) <~> ~funny(X0)) => (kind(X0) & tall(X0))) [input p1]
4. ! [X0] : ((~funny(X0) & ~calm(X0)) <=> (~brave(X0) & ~rich(X0))) [input p3]
5. ! [X0] : ((~quiet(X0) | ~wise(X0)) => ~curious(X0... | 0 |
If paul is not patient or calm then susan is either humble or not quiet.
If someone is either not old or brave then alice is rich or not brave.
Everyone who is humble is both not rich and wise.
Everyone who is not old or not calm is not brave or not funny.
If susan is not patient then fred is calm and vice versa.
If so... | Lucy is not brave. | neutral | (((~patient(paul)|calm(paul)))=>((humble(susan)<~>~quiet(susan))))&
((?[X]:((~old(X)<~>brave(X))))=>((rich(alice)|~brave(alice))))&
(![X]:(humble(X)=>(~rich(X)&wise(X))))&
(![X]:((~old(X)|~calm(X))=>(~brave(X)|~funny(X))))&
((~patient(susan))<=>(calm(fred)))&
((?[X]:((~rich(X)&patient(X))))=>(?[X]:((patient(X)<~>~old(X... | ~brave(lucy) | [] | null | 0 |
Everyone who is calm or creative is both not old and not curious.
If someone is old then mary is not creative or kind and vice versa.
Everyone who is not curious is not calm and vice versa.
If someone is happy or not kind then someone is not patient or not strong.
Everyone who is not funny or not old is both not quiet ... | Paul is not tall. | neutral | (![X]:((calm(X)|creative(X))=>(~old(X)&~curious(X))))&
((?[X]:(old(X)))<=>((~creative(mary)|kind(mary))))&
(![X]:(~curious(X)<=>~calm(X)))&
((?[X]:((happy(X)|~kind(X))))=>(?[X]:((~patient(X)|~strong(X)))))&
(![X]:((~funny(X)|~old(X))<=>(~quiet(X)&generous(X))))&
(((wise(paul)|~tall(paul)))<=>((curious(john)|~tall(john)... | ~tall(paul) | [] | null | 0 |
If lucy is not humble or not kind then someone is not generous and vice versa. Everyone who is not generous or calm is either curious or not funny. Everyone who is either strong or not calm is both not tall and not creative. Everyone who is not humble or brave is either not rich or happy and vice versa. Everyone who is... | Mary is wise. | neutral | (((~humble(lucy)|~kind(lucy)))<=>(?[X]:(~generous(X))))&
(![X]:((~generous(X)|calm(X))=>(curious(X)<~>~funny(X))))&
(![X]:((strong(X)<~>~calm(X))=>(~tall(X)&~creative(X))))&
(![X]:((~humble(X)|brave(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((~rich(X)|~strong(X))=>(~generous(X)&~humble(X))))&
(![X]:(~funny(X)=>(wise(X)<~>~c... | wise(mary) | [] | null | 0 |
Everyone who is not happy or not kind is not funny or not kind.
Everyone who is not creative or creative is both not generous and not tall.
Everyone who is either not creative or funny is not generous and vice versa.
Everyone who is both not patient and not humble is both tall and not humble and vice versa.
If someone ... | John is not humble. | contradiction | (![X]:((~happy(X)|~kind(X))=>(~funny(X)|~kind(X))))&
(![X]:((~creative(X)|creative(X))=>(~generous(X)&~tall(X))))&
(![X]:((~creative(X)<~>funny(X))<=>~generous(X)))&
(![X]:((~patient(X)&~humble(X))<=>(tall(X)&~humble(X))))&
((?[X]:((kind(X)&creative(X))))<=>(?[X]:((tall(X)<~>~calm(X)))))&
(((rich(john)&~brave(john)))<=... | ~humble(john) | [
"p1",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3820862038627308193121977
% SZS output start Proof for 3820862038627308193121977
2. ! [X0] : ((creative(X0) | ~creative(X0)) => (~tall(X0) & ~generous(X0))) [input p1]
9. ! [X0] : ((~creative(X0) | strong(X0)) => (tall(X0) | creative(X0))) [input p8]
12. ! [X0] : ((wise(X0) & brave(X0)) <... | 0 |
If someone is generous or funny then fred is not funny or not brave and vice versa.
Everyone who is either curious or tall is either funny or not calm.
Everyone who is not quiet or not strong is both quiet and tall and vice versa.
Everyone who is either humble or wise is not tall or not funny.
If someone is either not ... | Paul is humble. | contradiction | ((?[X]:((generous(X)|funny(X))))<=>((~funny(fred)|~brave(fred))))&
(![X]:((curious(X)<~>tall(X))=>(funny(X)<~>~calm(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(quiet(X)&tall(X))))&
(![X]:((humble(X)<~>wise(X))=>(~tall(X)|~funny(X))))&
((?[X]:((~rich(X)<~>~humble(X))))=>(?[X]:((~tall(X)|~calm(X)))))&
(![X]:(~strong(X)<=>(wi... | humble(paul) | [
"p2",
"p5",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2849839801226531902830458
% SZS output start Proof for 2849839801226531902830458
3. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> (tall(X0) & quiet(X0))) [input p2]
6. ! [X0] : (~strong(X0) <=> (wise(X0) <~> humble(X0))) [input p5]
7. ! [X0] : (tall(X0) => ~tall(X0)) [input p6]
11. ~wise(paul)... | 0 |
Everyone who is both kind and calm is both not tall and calm.
If someone is either funny or happy then paul is either not tall or not humble.
If someone is either not calm or wise then john is calm or wise and vice versa.
If someone is not creative or not quiet then mary is both not generous and patient.
If someone is ... | Paul is happy. | entailment | (![X]:((kind(X)&calm(X))=>(~tall(X)&calm(X))))&
((?[X]:((funny(X)<~>happy(X))))=>((~tall(paul)<~>~humble(paul))))&
((?[X]:((~calm(X)<~>wise(X))))<=>((calm(john)|wise(john))))&
((?[X]:((~creative(X)|~quiet(X))))=>((~generous(mary)&patient(mary))))&
((?[X]:((~patient(X)|~old(X))))<=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:(... | happy(paul) | [
"p1",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7955057784534188350229544
% SZS output start Proof for 7955057784534188350229544
2. ? [X0] : (funny(X0) <~> happy(X0)) => (~tall(paul) <~> ~humble(paul)) [input p1]
6. ! [X0] : (humble(X0) => (~strong(X0) & humble(X0))) [input p5]
7. ! [X0] : (tall(X0) => ~funny(X0)) [input p6]
9. ! [X0] ... | 0 |
Everyone who is both not curious and brave is not generous. If john is both not wise and not generous then someone is either not funny or not curious. Everyone who is old is not tall. Everyone who is both tall and not humble is rich or happy and vice versa. Everyone who is either not kind or not happy is both kind and ... | John is not old. | entailment | (![X]:((~curious(X)&brave(X))=>~generous(X)))&
(((~wise(john)&~generous(john)))=>(?[X]:((~funny(X)<~>~curious(X)))))&
(![X]:(old(X)=>~tall(X)))&
(![X]:((tall(X)&~humble(X))<=>(rich(X)|happy(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(kind(X)&~wise(X))))&
(((~wise(fred)<~>~tall(fred)))<=>((~kind(paul)|happy(paul))))&
(![X]:... | ~old(john) | [
"p3",
"p7",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3892262314257940212269354
% SZS output start Proof for 3892262314257940212269354
4. ! [X0] : ((~humble(X0) & tall(X0)) <=> (happy(X0) | rich(X0))) [input p3]
8. ? [X0] : (~generous(X0) | ~wise(X0)) => rich(paul) [input p7]
12. old(john) <=> (old(paul) & humble(paul)) [input p11]
16. ? [X0... | 0 |
If someone is not strong or not humble then someone is either curious or kind. If alice is either quiet or not brave then susan is wise or not brave. Everyone who is not strong or not wise is calm or not rich. Everyone who is not happy is not creative and vice versa. If alice is not calm then someone is humble and vice... | Mary is not funny. | neutral | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((curious(X)<~>kind(X)))))&
(((quiet(alice)<~>~brave(alice)))=>((wise(susan)|~brave(susan))))&
(![X]:((~strong(X)|~wise(X))=>(calm(X)|~rich(X))))&
(![X]:(~happy(X)<=>~creative(X)))&
((~calm(alice))<=>(?[X]:(humble(X))))&
(![X]:(~generous(X)=>(~patient(X)|~calm(X))))&
(((~calm(pa... | ~funny(mary) | [] | null | 0 |
If john is humble then someone is happy or tall.
If susan is quiet or humble then alice is not humble or happy.
Everyone who is wise or old is generous and vice versa.
If alice is wise or strong then someone is funny.
If susan is either not wise or happy then someone is not humble and vice versa.
Everyone who is both w... | Susan is curious. | neutral | ((humble(john))=>(?[X]:((happy(X)|tall(X)))))&
(((quiet(susan)|humble(susan)))=>((~humble(alice)|happy(alice))))&
(![X]:((wise(X)|old(X))<=>generous(X)))&
(((wise(alice)|strong(alice)))=>(?[X]:(funny(X))))&
(((~wise(susan)<~>happy(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((wise(X)&funny(X))=>~calm(X)))&
(((~curious(susan... | curious(susan) | [] | null | 0 |
If john is not humble or curious then someone is humble or not patient. If someone is not patient then someone is happy. If someone is not happy then mary is wise and vice versa. Everyone who is both creative and brave is either patient or not quiet and vice versa. Everyone who is either not kind or tall is both not ri... | Susan is funny. | entailment | (((~humble(john)|curious(john)))=>(?[X]:((humble(X)|~patient(X)))))&
((?[X]:(~patient(X)))=>(?[X]:(happy(X))))&
((?[X]:(~happy(X)))<=>(wise(mary)))&
(![X]:((creative(X)&brave(X))<=>(patient(X)<~>~quiet(X))))&
(![X]:((~kind(X)<~>tall(X))=>(~rich(X)&~brave(X))))&
(![X]:((~calm(X)|generous(X))=>(quiet(X)|humble(X))))&
((?... | funny(susan) | [
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1030276947244251329498004
% SZS output start Proof for 1030276947244251329498004
21. ~patient(susan) <~> ~funny(susan) [input p20]
23. ~patient(susan) [input p22]
25. ~funny(susan) [input hypothesis]
78. (funny(susan) | patient(susan)) & (~funny(susan) | ~patient(susan)) [nnf transformati... | 0 |
Everyone who is both brave and not happy is either curious or quiet and vice versa.
Everyone who is patient is not calm.
Everyone who is happy is old or happy and vice versa.
If paul is either not humble or funny then someone is old or not generous and vice versa.
Everyone who is either happy or humble is either creati... | John is not quiet. | neutral | (![X]:((brave(X)&~happy(X))<=>(curious(X)<~>quiet(X))))&
(![X]:(patient(X)=>~calm(X)))&
(![X]:(happy(X)<=>(old(X)|happy(X))))&
(((~humble(paul)<~>funny(paul)))<=>(?[X]:((old(X)|~generous(X)))))&
(![X]:((happy(X)<~>humble(X))<=>(creative(X)<~>old(X))))&
(![X]:((humble(X)&curious(X))<=>~tall(X)))&
(![X]:(~curious(X)<=>~q... | ~quiet(john) | [] | null | 0 |
If someone is not rich or not strong then someone is both not brave and old and vice versa.
Everyone who is both kind and not quiet is either not tall or quiet and vice versa.
If paul is either not wise or not tall then lucy is either not calm or kind and vice versa.
If someone is not patient then someone is wise.
If f... | Paul is not kind. | entailment | ((?[X]:((~rich(X)|~strong(X))))<=>(?[X]:((~brave(X)&old(X)))))&
(![X]:((kind(X)&~quiet(X))<=>(~tall(X)<~>quiet(X))))&
(((~wise(paul)<~>~tall(paul)))<=>((~calm(lucy)<~>kind(lucy))))&
((?[X]:(~patient(X)))=>(?[X]:(wise(X))))&
(((quiet(fred)|~curious(fred)))=>(?[X]:(old(X))))&
(![X]:((creative(X)<~>~tall(X))=>generous(X))... | ~kind(paul) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7783617277406289864965934
% SZS output start Proof for 7783617277406289864965934
2. ! [X0] : ((~quiet(X0) & kind(X0)) <=> (~tall(X0) <~> quiet(X0))) [input p1]
7. ! [X0] : (kind(X0) => (tall(X0) | ~kind(X0))) [input p6]
24. kind(paul) [input hypothesis]
30. ! [X0] : ((tall(X0) | ~kind(X0)... | 0 |
Everyone who is either not curious or brave is both not quiet and patient.
Everyone who is both patient and not humble is not creative.
Everyone who is either creative or calm is both old and not strong and vice versa.
If someone is brave then someone is both not old and curious.
Everyone who is both patient and funny ... | Susan is not creative. | neutral | (![X]:((~curious(X)<~>brave(X))=>(~quiet(X)&patient(X))))&
(![X]:((patient(X)&~humble(X))=>~creative(X)))&
(![X]:((creative(X)<~>calm(X))<=>(old(X)&~strong(X))))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&curious(X)))))&
(![X]:((patient(X)&funny(X))<=>(quiet(X)&humble(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>wise(X)))&
((~gene... | ~creative(susan) | [] | null | 0 |
Everyone who is not brave is either quiet or not wise and vice versa. Everyone who is not funny is calm. If mary is both wise and quiet then mary is curious. If someone is patient or creative then lucy is either not curious or not wise and vice versa. If alice is both rich and old then someone is tall or not humble and... | Lucy is tall. | entailment | (![X]:(~brave(X)<=>(quiet(X)<~>~wise(X))))&
(![X]:(~funny(X)=>calm(X)))&
(((wise(mary)&quiet(mary)))=>(curious(mary)))&
((?[X]:((patient(X)|creative(X))))<=>((~curious(lucy)<~>~wise(lucy))))&
(((rich(alice)&old(alice)))<=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:(~funny(X)<=>creative(X)))&
(![X]:((strong(X)&curious(X))=>~... | tall(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6510836157293519468614620
% SZS output start Proof for 6510836157293519468614620
19. tall(lucy) [input p18]
25. ~tall(lucy) [input hypothesis]
139. tall(lucy) [cnf transformation 19]
148. ~tall(lucy) [cnf transformation 25]
236. 20 <=> tall(lucy) [avatar definition]
358. 20 [avatar split ... | 0 |
If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someone is both not curious and not creative. If someone is both strong and quiet then someone is not gen... | Paul is creative. | entailment | ((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~humble(X)=>(~funny(X)<~>~quiet(X))))... | creative(paul) | [
"p3",
"p5",
"p7",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 15492298357981130769726
% SZS output start Proof for 15492298357981130769726
4. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p3]
6. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : (~generous(X0) <~> wise(X0)) [input p5]
8. ! [X0] : ((~strong(X0) ... | 0 |
If someone is not kind then someone is both not wise and not generous. If fred is wise or calm then mary is either not happy or not old. If mary is both rich and happy then someone is not rich. If someone is either funny or not funny then susan is not calm and vice versa. If susan is not wise then lucy is humble or cre... | Susan is curious. | contradiction | ((?[X]:(~kind(X)))=>(?[X]:((~wise(X)&~generous(X)))))&
(((wise(fred)|calm(fred)))=>((~happy(mary)<~>~old(mary))))&
(((rich(mary)&happy(mary)))=>(?[X]:(~rich(X))))&
((?[X]:((funny(X)<~>~funny(X))))<=>(~calm(susan)))&
((~wise(susan))=>((humble(lucy)|creative(lucy))))&
(![X]:(~brave(X)<=>rich(X)))&
(![X]:(curious(X)=>(~cr... | curious(susan) | [
"p0",
"p10",
"p11",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3355397794936552385809548
% SZS output start Proof for 3355397794936552385809548
1. ? [X0] : ~kind(X0) => ? [X0] : (~generous(X0) & ~wise(X0)) [input p0]
11. ? [X0] : (~funny(X0) | quiet(X0)) => ? [X0] : (~kind(X0) & tall(X0)) [input p10]
12. ! [X0] : ((funny(X0) <~> wise(X0)) => kind(X0)... | 0 |
If someone is not kind then someone is not old or not rich and vice versa. If someone is not quiet then someone is either not quiet or rich. If someone is not kind or tall then someone is not calm or patient. Everyone who is not funny or calm is either happy or strong and vice versa. Everyone who is creative or not old... | John is happy. | contradiction | ((?[X]:(~kind(X)))<=>(?[X]:((~old(X)|~rich(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((~quiet(X)<~>rich(X)))))&
((?[X]:((~kind(X)|tall(X))))=>(?[X]:((~calm(X)|patient(X)))))&
(![X]:((~funny(X)|calm(X))<=>(happy(X)<~>strong(X))))&
(![X]:((creative(X)|~old(X))<=>(~brave(X)<~>~calm(X))))&
(![X]:(~tall(X)<=>(~funny(X)|~curious(X)... | happy(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5519614456496589436768147
% SZS output start Proof for 5519614456496589436768147
7. ! [X0] : ((humble(X0) | happy(X0)) => (calm(X0) & ~calm(X0))) [input p6]
24. happy(john) [input hypothesis]
30. ! [X0] : ((calm(X0) & ~calm(X0)) | (~humble(X0) & ~happy(X0))) [ennf transformation 7]
104. ~... | 0 |
Everyone who is both kind and humble is not generous or strong and vice versa.
If lucy is curious then paul is rich or happy and vice versa.
If susan is both funny and not calm then someone is either old or kind.
Everyone who is not tall is either humble or not rich and vice versa.
Everyone who is either quiet or tall ... | Paul is not old. | contradiction | (![X]:((kind(X)&humble(X))<=>(~generous(X)|strong(X))))&
((curious(lucy))<=>((rich(paul)|happy(paul))))&
(((funny(susan)&~calm(susan)))=>(?[X]:((old(X)<~>kind(X)))))&
(![X]:(~tall(X)<=>(humble(X)<~>~rich(X))))&
(![X]:((quiet(X)<~>tall(X))<=>(~kind(X)&strong(X))))&
(![X]:((kind(X)<~>old(X))<=>(tall(X)<~>~creative(X))))&... | ~old(paul) | [
"p0",
"p6",
"p10",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7156858464191184215850015
% SZS output start Proof for 7156858464191184215850015
1. ! [X0] : ((humble(X0) & kind(X0)) <=> (strong(X0) | ~generous(X0))) [input p0]
7. ! [X0] : ((wise(X0) & ~humble(X0)) <=> (~old(X0) & ~curious(X0))) [input p6]
11. ~curious(paul) <=> ? [X0] : ~calm(X0) [inp... | 0 |
Everyone who is wise is tall and vice versa.
If alice is either not quiet or wise then john is either kind or tall.
Everyone who is not calm or brave is both quiet and not strong.
Everyone who is both not happy and not quiet is either generous or rich and vice versa.
Everyone who is both not old and not funny is happy ... | John is not tall. | entailment | (![X]:(wise(X)<=>tall(X)))&
(((~quiet(alice)<~>wise(alice)))=>((kind(john)<~>tall(john))))&
(![X]:((~calm(X)|brave(X))=>(quiet(X)&~strong(X))))&
(![X]:((~happy(X)&~quiet(X))<=>(generous(X)<~>rich(X))))&
(![X]:((~old(X)&~funny(X))<=>(happy(X)|wise(X))))&
(![X]:((~generous(X)&~quiet(X))=>(quiet(X)&generous(X))))&
(![X]:(... | ~tall(john) | [
"p0",
"p2",
"p8",
"p9",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 442615399228344834026807
% SZS output start Proof for 442615399228344834026807
1. ! [X0] : (wise(X0) <=> tall(X0)) [input p0]
3. ! [X0] : ((brave(X0) | ~calm(X0)) => (~strong(X0) & quiet(X0))) [input p2]
9. ! [X0] : ((quiet(X0) & ~curious(X0)) => (~wise(X0) & ~old(X0))) [input p8]
10. ! [... | 0 |
Everyone who is not calm or kind is creative or not kind and vice versa.
If fred is not tall or not patient then paul is funny or tall and vice versa.
Everyone who is kind is either not humble or not happy and vice versa.
If someone is either generous or quiet then alice is either not humble or old and vice versa.
If s... | John is not kind. | neutral | (![X]:((~calm(X)|kind(X))<=>(creative(X)|~kind(X))))&
(((~tall(fred)|~patient(fred)))<=>((funny(paul)|tall(paul))))&
(![X]:(kind(X)<=>(~humble(X)<~>~happy(X))))&
((?[X]:((generous(X)<~>quiet(X))))<=>((~humble(alice)<~>old(alice))))&
((?[X]:(~old(X)))=>((~wise(lucy)<~>patient(lucy))))&
((?[X]:(brave(X)))=>((~funny(alice... | ~kind(john) | [] | null | 0 |
If someone is either not rich or not calm then lucy is happy. Everyone who is curious is both calm and kind and vice versa. If susan is wise or brave then someone is both happy and not quiet. Everyone who is happy is either not generous or tall and vice versa. If mary is not tall then alice is both not generous and not... | Susan is happy. | contradiction | ((?[X]:((~rich(X)<~>~calm(X))))=>(happy(lucy)))&
(![X]:(curious(X)<=>(calm(X)&kind(X))))&
(((wise(susan)|brave(susan)))=>(?[X]:((happy(X)&~quiet(X)))))&
(![X]:(happy(X)<=>(~generous(X)<~>tall(X))))&
((~tall(mary))<=>((~generous(alice)&~rich(alice))))&
((?[X]:(~generous(X)))=>(?[X]:((funny(X)|kind(X)))))&
(![X]:((rich(X... | happy(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 662479794479340222929759
% SZS output start Proof for 662479794479340222929759
9. ! [X0] : ((~happy(X0) & ~quiet(X0)) <=> (rich(X0) | ~rich(X0))) [input p8]
19. happy(susan) [input hypothesis]
43. ! [X0] : (((~happy(X0) & ~quiet(X0)) | (~rich(X0) & rich(X0))) & ((rich(X0) | ~rich(X0)) | (... | 0 |
Everyone who is not funny or not kind is tall or funny and vice versa.
If someone is both old and creative then someone is either not strong or not humble and vice versa.
Everyone who is both not generous and quiet is not happy or not wise.
Everyone who is both patient and not patient is both strong and not generous.
I... | Paul is not strong. | entailment | (![X]:((~funny(X)|~kind(X))<=>(tall(X)|funny(X))))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((~strong(X)<~>~humble(X)))))&
(![X]:((~generous(X)&quiet(X))=>(~happy(X)|~wise(X))))&
(![X]:((patient(X)&~patient(X))=>(strong(X)&~generous(X))))&
((?[X]:((~creative(X)<~>~wise(X))))=>(?[X]:((brave(X)&tall(X)))))&
((~old(susan))... | ~strong(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4877698012192116887245057
% SZS output start Proof for 4877698012192116887245057
16. ! [X0] : ((~tall(X0) <~> tall(X0)) => ~strong(X0)) [input p15]
25. strong(paul) [input hypothesis]
41. ! [X0] : (~strong(X0) | (~tall(X0) <=> tall(X0))) [ennf transformation 16]
74. ! [X0] : (~strong(X0) ... | 0 |
Everyone who is not curious is curious.
Everyone who is patient is not quiet or not calm and vice versa.
If someone is not generous or calm then paul is happy or funny and vice versa.
Everyone who is both creative and old is curious.
Everyone who is either not funny or happy is strong or not kind.
Everyone who is not h... | Susan is funny. | entailment | (![X]:(~curious(X)=>curious(X)))&
(![X]:(patient(X)<=>(~quiet(X)|~calm(X))))&
((?[X]:((~generous(X)|calm(X))))<=>((happy(paul)|funny(paul))))&
(![X]:((creative(X)&old(X))=>curious(X)))&
(![X]:((~funny(X)<~>happy(X))=>(strong(X)|~kind(X))))&
(![X]:(~happy(X)<=>(calm(X)|~kind(X))))&
(![X]:((~funny(X)<~>~rich(X))<=>~wise(... | funny(susan) | [
"p7",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5043887441228107072396366
% SZS output start Proof for 5043887441228107072396366
8. ! [X0] : (~funny(X0) => (curious(X0) & tall(X0))) [input p7]
12. ! [X0] : (kind(X0) => ~tall(X0)) [input p11]
20. kind(susan) [input p19]
25. ~funny(susan) [input hypothesis]
33. ! [X0] : ((curious(X0) & t... | 0 |
If paul is both tall and generous then mary is not generous. Everyone who is not calm or not generous is either not patient or not quiet. Everyone who is either patient or not strong is not humble. If someone is not tall or not strong then paul is both tall and not calm. Everyone who is tall is not humble or not genero... | Paul is humble. | entailment | (((tall(paul)&generous(paul)))=>(~generous(mary)))&
(![X]:((~calm(X)|~generous(X))=>(~patient(X)<~>~quiet(X))))&
(![X]:((patient(X)<~>~strong(X))=>~humble(X)))&
((?[X]:((~tall(X)|~strong(X))))=>((tall(paul)&~calm(paul))))&
(![X]:(tall(X)=>(~humble(X)|~generous(X))))&
((wise(lucy))=>(?[X]:((patient(X)&tall(X)))))&
((?[X... | humble(paul) | [
"p1",
"p3",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 301156165027955397359846
% SZS output start Proof for 301156165027955397359846
2. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~patient(X0) <~> ~quiet(X0))) [input p1]
4. ? [X0] : (~strong(X0) | ~tall(X0)) => (~calm(paul) & tall(paul)) [input p3]
12. ! [X0] : ((quiet(X0) <~> humble(X0)) <=> ... | 0 |
If someone is strong then john is not happy or not creative.
Everyone who is creative is calm.
Everyone who is either not calm or not strong is not tall and vice versa.
Everyone who is not creative or not wise is creative or curious.
If paul is kind or humble then mary is quiet or not wise and vice versa.
Everyone who ... | John is not curious. | neutral | ((?[X]:(strong(X)))=>((~happy(john)|~creative(john))))&
(![X]:(creative(X)=>calm(X)))&
(![X]:((~calm(X)<~>~strong(X))<=>~tall(X)))&
(![X]:((~creative(X)|~wise(X))=>(creative(X)|curious(X))))&
(((kind(paul)|humble(paul)))<=>((quiet(mary)|~wise(mary))))&
(![X]:(~brave(X)<=>(funny(X)<~>~brave(X))))&
(((~generous(alice)|ca... | ~curious(john) | [] | null | 0 |
If susan is both happy and patient then susan is creative or quiet.
Everyone who is funny is either not humble or not curious.
Everyone who is not quiet or old is kind.
Everyone who is humble is either patient or not rich and vice versa.
If someone is wise then fred is either generous or not funny.
Everyone who is both... | Fred is not curious. | entailment | (((happy(susan)&patient(susan)))=>((creative(susan)|quiet(susan))))&
(![X]:(funny(X)=>(~humble(X)<~>~curious(X))))&
(![X]:((~quiet(X)|old(X))=>kind(X)))&
(![X]:(humble(X)<=>(patient(X)<~>~rich(X))))&
((?[X]:(wise(X)))=>((generous(fred)<~>~funny(fred))))&
(![X]:((brave(X)&curious(X))<=>(~strong(X)&~curious(X))))&
(![X]:... | ~curious(fred) | [
"p2",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8467467776059211519660406
% SZS output start Proof for 8467467776059211519660406
3. ! [X0] : ((old(X0) | ~quiet(X0)) => kind(X0)) [input p2]
12. ! [X0] : ((~kind(X0) | ~wise(X0)) <=> curious(X0)) [input p11]
16. ! [X0] : ((~happy(X0) | rich(X0)) => (~funny(X0) & old(X0))) [input p15]
19. ... | 0 |
Everyone who is not calm is kind or not wise and vice versa.
Everyone who is both not generous and not strong is quiet and vice versa.
If someone is either wise or kind then paul is both not brave and not patient.
Everyone who is either not curious or happy is either not humble or not rich.
Everyone who is creative or ... | John is patient. | neutral | (![X]:(~calm(X)<=>(kind(X)|~wise(X))))&
(![X]:((~generous(X)&~strong(X))<=>quiet(X)))&
((?[X]:((wise(X)<~>kind(X))))=>((~brave(paul)&~patient(paul))))&
(![X]:((~curious(X)<~>happy(X))=>(~humble(X)<~>~rich(X))))&
(![X]:((creative(X)|old(X))=>(wise(X)|quiet(X))))&
(((curious(mary)&kind(mary)))<=>(?[X]:(wise(X))))&
(![X]:... | patient(john) | [] | null | 0 |
Everyone who is not curious is not old.
Everyone who is generous is either not calm or brave.
Everyone who is funny or patient is not tall and vice versa.
Everyone who is either old or not old is either funny or happy and vice versa.
If susan is humble then mary is not patient and vice versa.
Everyone who is not wise i... | Susan is patient. | contradiction | (![X]:(~curious(X)=>~old(X)))&
(![X]:(generous(X)=>(~calm(X)<~>brave(X))))&
(![X]:((funny(X)|patient(X))<=>~tall(X)))&
(![X]:((old(X)<~>~old(X))<=>(funny(X)<~>happy(X))))&
((humble(susan))<=>(~patient(mary)))&
(![X]:(~wise(X)=>~funny(X)))&
(![X]:((curious(X)<~>humble(X))<=>(~generous(X)|wise(X))))&
((?[X]:((~rich(X)|qu... | patient(susan) | [
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3655649431166317474572853
% SZS output start Proof for 3655649431166317474572853
3. ! [X0] : ((patient(X0) | funny(X0)) <=> ~tall(X0)) [input p2]
10. ! [X0] : ((rich(X0) | brave(X0)) => (happy(X0) & ~brave(X0))) [input p9]
12. ! [X0] : ((funny(X0) | ~brave(X0)) <=> (curious(X0) & tall(X0)... | 0 |
If someone is either calm or humble then alice is happy or not funny.
If someone is both happy and tall then paul is old or not generous.
Everyone who is both not humble and not calm is either not funny or strong and vice versa.
Everyone who is not old is patient.
Everyone who is not calm is not brave and vice versa.
I... | Paul is curious. | neutral | ((?[X]:((calm(X)<~>humble(X))))=>((happy(alice)|~funny(alice))))&
((?[X]:((happy(X)&tall(X))))=>((old(paul)|~generous(paul))))&
(![X]:((~humble(X)&~calm(X))<=>(~funny(X)<~>strong(X))))&
(![X]:(~old(X)=>patient(X)))&
(![X]:(~calm(X)<=>~brave(X)))&
((?[X]:((calm(X)<~>rich(X))))=>(?[X]:(quiet(X))))&
(![X]:((tall(X)&brave(... | curious(paul) | [] | null | 0 |
Everyone who is humble is both calm and wise and vice versa. Everyone who is both not tall and not strong is either not wise or not strong and vice versa. Everyone who is both old and creative is either strong or not wise and vice versa. If paul is not brave then alice is brave and vice versa. If mary is creative or no... | Mary is wise. | entailment | (![X]:(humble(X)<=>(calm(X)&wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(~wise(X)<~>~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X)<~>~funny(X))<=>brave(X)))&
(((~kind(lucy)&~hum... | wise(mary) | [
"p0",
"p1",
"p2",
"p7",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5282433568054996346579186
% SZS output start Proof for 5282433568054996346579186
1. ! [X0] : (humble(X0) <=> (wise(X0) & calm(X0))) [input p0]
2. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p1]
3. ! [X0] : ((creative(X0) & old(X0)) <=> (strong(X0) <~> ~wise... | 0 |
Everyone who is both not kind and not patient is either creative or old.
Everyone who is both tall and not wise is both not funny and wise and vice versa.
Everyone who is either wise or not brave is both not kind and not old and vice versa.
If john is not calm or not generous then someone is either strong or brave.
If ... | Lucy is tall. | contradiction | (![X]:((~kind(X)&~patient(X))=>(creative(X)<~>old(X))))&
(![X]:((tall(X)&~wise(X))<=>(~funny(X)&wise(X))))&
(![X]:((wise(X)<~>~brave(X))<=>(~kind(X)&~old(X))))&
(((~calm(john)|~generous(john)))=>(?[X]:((strong(X)<~>brave(X)))))&
(((~brave(lucy)|~happy(lucy)))=>(~happy(fred)))&
(((rich(susan)&~old(susan)))<=>((~rich(sus... | tall(lucy) | [
"p6",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3900147377145530330759163
% SZS output start Proof for 3900147377145530330759163
7. ! [X0] : ((~happy(X0) & ~creative(X0)) <=> (~strong(X0) | tall(X0))) [input p6]
21. creative(lucy) [input p20]
24. tall(lucy) [input hypothesis]
45. ! [X0] : (((~happy(X0) & ~creative(X0)) | (strong(X0) & ... | 0 |
If fred is both old and not patient then someone is wise and vice versa.
If mary is not patient or funny then alice is either strong or rich.
Everyone who is either not old or not wise is kind and vice versa.
If someone is calm or not strong then someone is both not humble and not creative and vice versa.
If someone is... | Fred is wise. | contradiction | (((old(fred)&~patient(fred)))<=>(?[X]:(wise(X))))&
(((~patient(mary)|funny(mary)))=>((strong(alice)<~>rich(alice))))&
(![X]:((~old(X)<~>~wise(X))<=>kind(X)))&
((?[X]:((calm(X)|~strong(X))))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((old(X)&~wise(X))))=>((kind(john)&wise(john))))&
(((kind(john)<~>~old(john)))=>(~wi... | wise(fred) | [
"p0",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4909995425926111000583779
% SZS output start Proof for 4909995425926111000583779
1. (~patient(fred) & old(fred)) <=> ? [X0] : wise(X0) [input p0]
9. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> (~humble(X0) | ~kind(X0))) [input p8]
10. ? [X0] : (~creative(X0) <~> ~patient(X0)) <=> ? [X0] ... | 0 |
Everyone who is generous or not happy is both calm and not creative and vice versa. Everyone who is either quiet or not calm is both funny and creative and vice versa. If fred is both funny and humble then fred is creative. Everyone who is old is either not happy or not strong and vice versa. If someone is either gener... | Susan is not kind. | contradiction | (![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~creative(susan)&~happy(susan))))&
(((~brave(fred)|wise(fred)))<=>((humb... | ~kind(susan) | [
"p0",
"p1",
"p3",
"p6",
"p7",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7443726478730181971329407
% SZS output start Proof for 7443726478730181971329407
1. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p0]
2. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (~happy(X0) <~> ~... | 0 |
Everyone who is both not calm and happy is not strong. If lucy is not calm then someone is not calm. If susan is either not quiet or patient then paul is both not quiet and strong and vice versa. Everyone who is either curious or not rich is both not old and not rich and vice versa. If someone is either not rich or not... | Lucy is not generous. | neutral | (![X]:((~calm(X)&happy(X))=>~strong(X)))&
((~calm(lucy))=>(?[X]:(~calm(X))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fred))))&
(((~generous(mary)|~brave(mary)))<=>(?[X]:((~wise... | ~generous(lucy) | [] | null | 0 |
If someone is both creative and not creative then someone is not strong and vice versa.
If someone is both not wise and not calm then someone is either not creative or strong and vice versa.
If mary is both tall and happy then susan is both strong and not funny.
Everyone who is both not kind and not wise is wise.
If so... | Alice is creative. | neutral | ((?[X]:((creative(X)&~creative(X))))<=>(?[X]:(~strong(X))))&
((?[X]:((~wise(X)&~calm(X))))<=>(?[X]:((~creative(X)<~>strong(X)))))&
(((tall(mary)&happy(mary)))=>((strong(susan)&~funny(susan))))&
(![X]:((~kind(X)&~wise(X))=>wise(X)))&
((?[X]:((humble(X)&funny(X))))=>((~quiet(alice)<~>generous(alice))))&
(![X]:((creative(... | creative(alice) | [] | null | 0 |
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