premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If fred is not tall or not happy then someone is either not old or quiet.
If lucy is either creative or tall then someone is not creative or not brave.
Everyone who is not tall or rich is humble or old and vice versa.
Everyone who is not patient is either not happy or not generous.
If alice is wise or rich then someone... | Lucy is creative. | neutral | (((~tall(fred)|~happy(fred)))=>(?[X]:((~old(X)<~>quiet(X)))))&
(((creative(lucy)<~>tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(![X]:((~tall(X)|rich(X))<=>(humble(X)|old(X))))&
(![X]:(~patient(X)=>(~happy(X)<~>~generous(X))))&
(((wise(alice)|rich(alice)))=>(?[X]:((happy(X)|~brave(X)))))&
(((creative(lucy)<~>~happ... | creative(lucy) | [] | null | 0 |
Everyone who is not old or not creative is not tall or strong and vice versa. Everyone who is not brave or rich is not patient or not creative. If paul is both tall and rich then john is either not old or not tall. Everyone who is humble is either not calm or not quiet and vice versa. If someone is either not brave or ... | Lucy is not quiet. | contradiction | (![X]:((~old(X)|~creative(X))<=>(~tall(X)|strong(X))))&
(![X]:((~brave(X)|rich(X))=>(~patient(X)|~creative(X))))&
(((tall(paul)&rich(paul)))=>((~old(john)<~>~tall(john))))&
(![X]:(humble(X)<=>(~calm(X)<~>~quiet(X))))&
((?[X]:((~brave(X)<~>~calm(X))))<=>(?[X]:((humble(X)&~strong(X)))))&
(((~brave(lucy)|humble(lucy)))=>(... | ~quiet(lucy) | [
"p3",
"p8",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1082880388039101951302305
% SZS output start Proof for 1082880388039101951302305
4. ! [X0] : (humble(X0) <=> (~calm(X0) <~> ~quiet(X0))) [input p3]
9. ! [X0] : ((patient(X0) | curious(X0)) => (~rich(X0) & humble(X0))) [input p8]
10. ! [X0] : ((humble(X0) & ~calm(X0)) <=> (tall(X0) | ~curi... | 0 |
If someone is either not kind or not humble then fred is both humble and not curious and vice versa.
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 creat... | Lucy is not happy. | contradiction | ((?[X]:((~kind(X)<~>~humble(X))))<=>((humble(fred)&~curious(fred))))&
(![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))))=>((~c... | ~happy(lucy) | [
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1055357315064582132365796
% SZS output start Proof for 1055357315064582132365796
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (creative(X0) & funny(X0))) [input p2]
8. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> g... | 0 |
Everyone who is either not quiet or quiet is strong or creative.
If someone is not generous then someone is both humble and old and vice versa.
Everyone who is either wise or not tall is both not patient and wise and vice versa.
Everyone who is humble or not generous is either brave or rich and vice versa.
If mary is b... | Alice is creative. | entailment | (![X]:((~quiet(X)<~>quiet(X))=>(strong(X)|creative(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((humble(X)&old(X)))))&
(![X]:((wise(X)<~>~tall(X))<=>(~patient(X)&wise(X))))&
(![X]:((humble(X)|~generous(X))<=>(brave(X)<~>rich(X))))&
(((~brave(mary)&~tall(mary)))<=>((brave(lucy)<~>~quiet(lucy))))&
(((funny(fred)|calm(fred)))<=... | creative(alice) | [
"p7",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4752491640173736450345490
% SZS output start Proof for 4752491640173736450345490
8. ! [X0] : ((~creative(X0) <~> curious(X0)) <=> (~tall(X0) | quiet(X0))) [input p7]
19. curious(alice) [input p18]
20. quiet(alice) [input p19]
25. ~creative(alice) [input hypothesis]
55. ! [X0] : ((((~curio... | 0 |
If someone is not brave or patient then alice is happy or not calm and vice versa.
If mary is not kind then susan is either not rich or generous and vice versa.
If mary is not calm then paul is not quiet or not tall.
Everyone who is kind is both strong and not humble and vice versa.
Everyone who is either not brave or ... | Alice is not patient. | contradiction | ((?[X]:((~brave(X)|patient(X))))<=>((happy(alice)|~calm(alice))))&
((~kind(mary))<=>((~rich(susan)<~>generous(susan))))&
((~calm(mary))=>((~quiet(paul)|~tall(paul))))&
(![X]:(kind(X)<=>(strong(X)&~humble(X))))&
(![X]:((~brave(X)<~>brave(X))=>(~old(X)|generous(X))))&
(![X]:((old(X)|~calm(X))=>(patient(X)&curious(X))))&
... | ~patient(alice) | [
"p3",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7411160617436099662204737
% SZS output start Proof for 7411160617436099662204737
4. ! [X0] : (kind(X0) <=> (~humble(X0) & strong(X0))) [input p3]
6. ! [X0] : ((~calm(X0) | old(X0)) => (curious(X0) & patient(X0))) [input p5]
14. ! [X0] : ((brave(X0) | ~kind(X0)) => strong(X0)) [input p13]
... | 0 |
If someone is either not strong or brave then someone is both not wise and humble.
Everyone who is both not funny and strong is wise or quiet and vice versa.
If paul is brave or not tall then someone is brave or happy.
Everyone who is not curious is patient and vice versa.
Everyone who is not generous is curious and vi... | Lucy is quiet. | entailment | ((?[X]:((~strong(X)<~>brave(X))))=>(?[X]:((~wise(X)&humble(X)))))&
(![X]:((~funny(X)&strong(X))<=>(wise(X)|quiet(X))))&
(((brave(paul)|~tall(paul)))=>(?[X]:((brave(X)|happy(X)))))&
(![X]:(~curious(X)<=>patient(X)))&
(![X]:(~generous(X)<=>curious(X)))&
(![X]:((~strong(X)|old(X))=>(funny(X)&~tall(X))))&
(![X]:((~creative... | quiet(lucy) | [
"p1",
"p3",
"p5",
"p6",
"p8",
"p10",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4192414132314952960763165
% SZS output start Proof for 4192414132314952960763165
2. ! [X0] : ((strong(X0) & ~funny(X0)) <=> (quiet(X0) | wise(X0))) [input p1]
4. ! [X0] : (~curious(X0) <=> patient(X0)) [input p3]
6. ! [X0] : ((old(X0) | ~strong(X0)) => (~tall(X0) & funny(X0))) [input p5]
... | 0 |
Everyone who is both not quiet and not old is not brave or curious.
Everyone who is both strong and kind is both happy and humble and vice versa.
If someone is not quiet then susan is wise.
If john is either kind or wise then someone is either kind or not brave and vice versa.
Everyone who is both curious and not stron... | Susan is not generous. | entailment | (![X]:((~quiet(X)&~old(X))=>(~brave(X)|curious(X))))&
(![X]:((strong(X)&kind(X))<=>(happy(X)&humble(X))))&
((?[X]:(~quiet(X)))=>(wise(susan)))&
(((kind(john)<~>wise(john)))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(![X]:((curious(X)&~strong(X))=>~funny(X)))&
(((~happy(fred)|~strong(fred)))=>(?[X]:(happy(X))))&
(![X]:(brave(X... | ~generous(susan) | [
"p2",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 831149575183137689776042
% SZS output start Proof for 831149575183137689776042
3. ? [X0] : ~quiet(X0) => wise(susan) [input p2]
7. ! [X0] : (brave(X0) <=> (~quiet(X0) & ~funny(X0))) [input p6]
8. ! [X0] : ((~rich(X0) | quiet(X0)) <=> brave(X0)) [input p7]
10. ! [X0] : ((~brave(X0) & ~kind... | 0 |
Everyone who is not old or patient is both rich and quiet. Everyone who is brave is both not curious and not kind and vice versa. If paul is not curious then susan is both kind and patient and vice versa. If mary is wise or not curious then someone is creative and vice versa. Everyone who is not funny or generous is hu... | Paul is not generous. | contradiction | (![X]:((~old(X)|patient(X))=>(rich(X)&quiet(X))))&
(![X]:(brave(X)<=>(~curious(X)&~kind(X))))&
((~curious(paul))<=>((kind(susan)&patient(susan))))&
(((wise(mary)|~curious(mary)))<=>(?[X]:(creative(X))))&
(![X]:((~funny(X)|generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((quiet(X)|~generous(X))=>~tall(X)))&
(![X]:((~gen... | ~generous(paul) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9177804487555914476428125
% SZS output start Proof for 9177804487555914476428125
1. ! [X0] : ((patient(X0) | ~old(X0)) => (quiet(X0) & rich(X0))) [input p0]
5. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (~patient(X0) | humble(X0))) [input p4]
6. ! [X0] : ((~generous(X0) | quiet(X0)) => ~ta... | 0 |
Everyone who is creative is either not old or not quiet.
Everyone who is either not creative or not wise is both rich and not kind.
If paul is both rich and not wise then someone is rich.
If alice is funny then someone is either curious or not funny.
If alice is not tall then someone is not old and vice versa.
If lucy ... | Paul is not old. | entailment | (![X]:(creative(X)=>(~old(X)<~>~quiet(X))))&
(![X]:((~creative(X)<~>~wise(X))=>(rich(X)&~kind(X))))&
(((rich(paul)&~wise(paul)))=>(?[X]:(rich(X))))&
((funny(alice))=>(?[X]:((curious(X)<~>~funny(X)))))&
((~tall(alice))<=>(?[X]:(~old(X))))&
(((patient(lucy)&~rich(lucy)))<=>(?[X]:((~wise(X)<~>~generous(X)))))&
((?[X]:(~ol... | ~old(paul) | [
"p5",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1159246968166230079347461
% SZS output start Proof for 1159246968166230079347461
6. (~rich(lucy) & patient(lucy)) <=> ? [X0] : (~wise(X0) <~> ~generous(X0)) [input p5]
9. ? [X0] : (creative(X0) | kind(X0)) <=> (~happy(mary) & happy(mary)) [input p8]
10. ! [X0] : ((~patient(X0) | old(X0)) ... | 0 |
If someone is both not strong and not humble then paul is wise or calm and vice versa. If fred is either old or generous then lucy is both not brave and wise and vice versa. Everyone who is both not wise and not kind is old. Everyone who is either not kind or not patient is not curious or not brave. Everyone who is not... | Fred is not brave. | neutral | ((?[X]:((~strong(X)&~humble(X))))<=>((wise(paul)|calm(paul))))&
(((old(fred)<~>generous(fred)))<=>((~brave(lucy)&wise(lucy))))&
(![X]:((~wise(X)&~kind(X))=>old(X)))&
(![X]:((~kind(X)<~>~patient(X))=>(~curious(X)|~brave(X))))&
(![X]:((~creative(X)|brave(X))<=>(~tall(X)<~>generous(X))))&
(![X]:((kind(X)&humble(X))<=>(~ol... | ~brave(fred) | [] | null | 0 |
If someone is patient then fred is generous.
Everyone who is either creative or not brave is humble or curious and vice versa.
Everyone who is both creative and humble is not curious or patient and vice versa.
If fred is both not creative and quiet then someone is either kind or not humble and vice versa.
Everyone who ... | John is tall. | neutral | ((?[X]:(patient(X)))=>(generous(fred)))&
(![X]:((creative(X)<~>~brave(X))<=>(humble(X)|curious(X))))&
(![X]:((creative(X)&humble(X))<=>(~curious(X)|patient(X))))&
(((~creative(fred)&quiet(fred)))<=>(?[X]:((kind(X)<~>~humble(X)))))&
(![X]:((generous(X)&funny(X))<=>(funny(X)|creative(X))))&
(![X]:((humble(X)&~kind(X))<=>... | tall(john) | [] | null | 0 |
Everyone who is either curious or kind is not funny.
If someone is not humble or humble then alice is not patient or not old.
If susan is either not tall or happy then someone is tall and vice versa.
Everyone who is both calm and funny is both happy and not curious and vice versa.
Everyone who is not funny is either hu... | Susan is not creative. | neutral | (![X]:((curious(X)<~>kind(X))=>~funny(X)))&
((?[X]:((~humble(X)|humble(X))))=>((~patient(alice)|~old(alice))))&
(((~tall(susan)<~>happy(susan)))<=>(?[X]:(tall(X))))&
(![X]:((calm(X)&funny(X))<=>(happy(X)&~curious(X))))&
(![X]:(~funny(X)<=>(humble(X)<~>~wise(X))))&
((~kind(fred))<=>(?[X]:((curious(X)|~patient(X)))))&
(!... | ~creative(susan) | [] | null | 0 |
If alice is either not funny or brave then someone is either curious or not wise and vice versa.
If john is either not generous or old then john is tall and vice versa.
Everyone who is generous or not wise is not calm or old.
Everyone who is either not rich or happy is both not funny and not creative.
Everyone who is q... | John is wise. | neutral | (((~funny(alice)<~>brave(alice)))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(((~generous(john)<~>old(john)))<=>(tall(john)))&
(![X]:((generous(X)|~wise(X))=>(~calm(X)|old(X))))&
(![X]:((~rich(X)<~>happy(X))=>(~funny(X)&~creative(X))))&
(![X]:(quiet(X)=>~curious(X)))&
(((wise(fred)&~quiet(fred)))=>((~old(fred)&~creative(fred... | wise(john) | [] | null | 0 |
Everyone who is not patient is old or not rich.
Everyone who is patient is both not wise and old and vice versa.
Everyone who is old is either not kind or not old.
If someone is both not humble and not curious then someone is both not kind and not patient and vice versa.
If lucy is both not creative and generous then s... | Mary is not quiet. | contradiction | (![X]:(~patient(X)=>(old(X)|~rich(X))))&
(![X]:(patient(X)<=>(~wise(X)&old(X))))&
(![X]:(old(X)=>(~kind(X)<~>~old(X))))&
((?[X]:((~humble(X)&~curious(X))))<=>(?[X]:((~kind(X)&~patient(X)))))&
(((~creative(lucy)&generous(lucy)))=>(?[X]:((~calm(X)<~>rich(X)))))&
(((~patient(susan)&curious(susan)))<=>((~patient(alice)<~>g... | ~quiet(mary) | [
"p2",
"p6",
"p8",
"p12",
"p13",
"p16",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1248098481239807170326666
% SZS output start Proof for 1248098481239807170326666
3. ! [X0] : (old(X0) => (~kind(X0) <~> ~old(X0))) [input p2]
7. ? [X0] : (~old(X0) & ~generous(X0)) => (~humble(mary) & ~funny(mary)) [input p6]
9. ! [X0] : ((~brave(X0) | patient(X0)) <=> (curious(X0) & kind... | 0 |
Everyone who is both not happy and tall is creative or not quiet.
If someone is either not quiet or not strong then someone is not old or rich and vice versa.
Everyone who is not old is not humble.
Everyone who is funny or not strong is both quiet and strong and vice versa.
Everyone who is either not strong or not pati... | Mary is brave. | contradiction | (![X]:((~happy(X)&tall(X))=>(creative(X)|~quiet(X))))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>(?[X]:((~old(X)|rich(X)))))&
(![X]:(~old(X)=>~humble(X)))&
(![X]:((funny(X)|~strong(X))<=>(quiet(X)&strong(X))))&
(![X]:((~strong(X)<~>~patient(X))<=>curious(X)))&
(![X]:((~rich(X)|~generous(X))<=>tall(X)))&
(![X]:(humble(X)<=>~... | brave(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5152650218500469431168124
% SZS output start Proof for 5152650218500469431168124
22. ~brave(mary) & ~calm(mary) [input p21]
24. brave(mary) [input hypothesis]
141. ~brave(mary) [cnf transformation 22]
144. brave(mary) [cnf transformation 24]
271. $false [subsumption resolution 144,141]
% ... | 0 |
Everyone who is either not quiet or kind is both not humble and not happy. Everyone who is either not creative or funny is either rich or brave and vice versa. If mary is either quiet or not brave then john is either happy or kind and vice versa. If someone is not calm or brave then lucy is generous or not rich and vic... | Fred is not quiet. | neutral | (![X]:((~quiet(X)<~>kind(X))=>(~humble(X)&~happy(X))))&
(![X]:((~creative(X)<~>funny(X))<=>(rich(X)<~>brave(X))))&
(((quiet(mary)<~>~brave(mary)))<=>((happy(john)<~>kind(john))))&
((?[X]:((~calm(X)|brave(X))))<=>((generous(lucy)|~rich(lucy))))&
(((~wise(fred)&patient(fred)))<=>(calm(paul)))&
(((patient(alice)|generous(... | ~quiet(fred) | [] | null | 0 |
Everyone who is not funny is both tall and not brave.
Everyone who is either wise or creative is both not old and funny.
Everyone who is not patient or brave is either not brave or generous.
Everyone who is both tall and calm is either strong or not strong and vice versa.
If someone is both not happy and not old then s... | Alice is not funny. | contradiction | (![X]:(~funny(X)=>(tall(X)&~brave(X))))&
(![X]:((wise(X)<~>creative(X))=>(~old(X)&funny(X))))&
(![X]:((~patient(X)|brave(X))=>(~brave(X)<~>generous(X))))&
(![X]:((tall(X)&calm(X))<=>(strong(X)<~>~strong(X))))&
((?[X]:((~happy(X)&~old(X))))=>((~calm(susan)<~>wise(susan))))&
(![X]:((~curious(X)<~>rich(X))<=>(~brave(X)|ki... | ~funny(alice) | [
"p0",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 400265656383117751354446
% SZS output start Proof for 400265656383117751354446
1. ! [X0] : (~funny(X0) => (~brave(X0) & tall(X0))) [input p0]
6. ! [X0] : ((~curious(X0) <~> rich(X0)) <=> (kind(X0) | ~brave(X0))) [input p5]
8. ! [X0] : (patient(X0) <=> (~curious(X0) <~> ~patient(X0))) [inp... | 0 |
If someone is happy then someone is tall or humble.
Everyone who is quiet is either not rich or creative.
Everyone who is either funny or wise is either tall or not rich.
If mary is not strong then someone is not old or not funny and vice versa.
Everyone who is old or not humble is both patient and curious and vice ver... | Fred is not strong. | contradiction | ((?[X]:(happy(X)))=>(?[X]:((tall(X)|humble(X)))))&
(![X]:(quiet(X)=>(~rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>wise(X))=>(tall(X)<~>~rich(X))))&
((~strong(mary))<=>(?[X]:((~old(X)|~funny(X)))))&
(![X]:((old(X)|~humble(X))<=>(patient(X)&curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((strong(X)&~generous(X)))))&
(![X]:(cu... | ~strong(fred) | [
"p4",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7782867202737070373461497
% SZS output start Proof for 7782867202737070373461497
5. ! [X0] : ((~humble(X0) | old(X0)) <=> (curious(X0) & patient(X0))) [input p4]
10. ! [X0] : (funny(X0) => old(X0)) [input p9]
12. ! [X0] : ((funny(X0) | strong(X0)) <=> (patient(X0) | ~patient(X0))) [input ... | 0 |
Everyone who is not strong is not wise and vice versa. Everyone who is not brave or generous is not happy. If susan is curious then someone is either curious or humble and vice versa. Everyone who is either not patient or not old is not happy or not humble. Everyone who is happy or tall is either creative or not kind a... | Paul is not creative. | contradiction | (![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~brave(X)|generous(X))=>~happy(X)))&
((curious(susan))<=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((~patient(X)<~>~old(X))=>(~happy(X)|~humble(X))))&
(![X]:((happy(X)|tall(X))<=>(creative(X)<~>~kind(X))))&
(![X]:((calm(X)&~curious(X))<=>(~happy(X)|~generous(X))))&
(((strong(paul... | ~creative(paul) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6638803756999047949587462
% SZS output start Proof for 6638803756999047949587462
1. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p0]
2. ! [X0] : ((generous(X0) | ~brave(X0)) => ~happy(X0)) [input p1]
3. curious(susan) <=> ? [X0] : (curious(X0) <~> humble(X0)) [input p2]
6. ! [X0] : ((~curi... | 0 |
Everyone who is either generous or strong is both tall and not patient.
If someone is not patient then mary is not humble.
If someone is both not patient and not brave then someone is either not funny or curious.
If fred is humble then fred is both wise and not funny and vice versa.
Everyone who is not funny is both ta... | Fred is not kind. | contradiction | (![X]:((generous(X)<~>strong(X))=>(tall(X)&~patient(X))))&
((?[X]:(~patient(X)))=>(~humble(mary)))&
((?[X]:((~patient(X)&~brave(X))))=>(?[X]:((~funny(X)<~>curious(X)))))&
((humble(fred))<=>((wise(fred)&~funny(fred))))&
(![X]:(~funny(X)<=>(tall(X)&old(X))))&
(![X]:((~tall(X)&~kind(X))=>(~wise(X)|~funny(X))))&
(![X]:((qu... | ~kind(fred) | [
"p4",
"p5",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 211774448864677183387692
% SZS output start Proof for 211774448864677183387692
5. ! [X0] : (~funny(X0) <=> (old(X0) & tall(X0))) [input p4]
6. ! [X0] : ((~kind(X0) & ~tall(X0)) => (~funny(X0) | ~wise(X0))) [input p5]
7. ! [X0] : ((patient(X0) & quiet(X0)) <=> (~wise(X0) | ~quiet(X0))) [in... | 0 |
Everyone who is brave or not creative is not generous or not funny and vice versa.
If mary is both wise and not kind then lucy is not generous or humble.
Everyone who is funny or not curious is brave and vice versa.
If someone is either not curious or not humble then someone is both generous and not brave.
If susan is ... | Susan is generous. | contradiction | (![X]:((brave(X)|~creative(X))<=>(~generous(X)|~funny(X))))&
(((wise(mary)&~kind(mary)))=>((~generous(lucy)|humble(lucy))))&
(![X]:((funny(X)|~curious(X))<=>brave(X)))&
((?[X]:((~curious(X)<~>~humble(X))))=>(?[X]:((generous(X)&~brave(X)))))&
(((~generous(susan)<~>creative(susan)))=>(?[X]:((creative(X)|~old(X)))))&
(((~... | generous(susan) | [
"p0",
"p2",
"p6",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6523800028445070876430821
% SZS output start Proof for 6523800028445070876430821
1. ! [X0] : ((~creative(X0) | brave(X0)) <=> (~funny(X0) | ~generous(X0))) [input p0]
3. ! [X0] : ((~curious(X0) | funny(X0)) <=> brave(X0)) [input p2]
7. ! [X0] : ((strong(X0) <~> rich(X0)) => rich(X0)) [inp... | 0 |
If someone is not tall then alice is humble or not old and vice versa.
If fred is both wise and patient then someone is not wise and vice versa.
Everyone who is both creative and patient is quiet.
If someone is patient or calm then mary is both tall and not curious and vice versa.
If someone is kind then someone is cur... | Alice is kind. | neutral | ((?[X]:(~tall(X)))<=>((humble(alice)|~old(alice))))&
(((wise(fred)&patient(fred)))<=>(?[X]:(~wise(X))))&
(![X]:((creative(X)&patient(X))=>quiet(X)))&
((?[X]:((patient(X)|calm(X))))<=>((tall(mary)&~curious(mary))))&
((?[X]:(kind(X)))=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:((kind(X)|~curious(X))<=>(happy(X)|~funny(X)))... | kind(alice) | [] | null | 0 |
If john is not humble or old then paul is tall or rich and vice versa.
Everyone who is either not curious or wise is not generous.
If someone is either tall or curious then someone is wise or not curious.
Everyone who is not old or funny is both not brave and rich and vice versa.
Everyone who is generous or kind is old... | Susan is not tall. | neutral | (((~humble(john)|old(john)))<=>((tall(paul)|rich(paul))))&
(![X]:((~curious(X)<~>wise(X))=>~generous(X)))&
((?[X]:((tall(X)<~>curious(X))))=>(?[X]:((wise(X)|~curious(X)))))&
(![X]:((~old(X)|funny(X))<=>(~brave(X)&rich(X))))&
(![X]:((generous(X)|kind(X))=>old(X)))&
((?[X]:((~patient(X)|old(X))))<=>((curious(fred)<~>brav... | ~tall(susan) | [] | null | 0 |
If paul is funny or not rich then paul is both creative and humble and vice versa. Everyone who is not funny is both curious and patient and vice versa. If susan is both kind and not rich then fred is either old or not happy. Everyone who is either not kind or not generous is both happy and not creative and vice versa.... | Paul is curious. | entailment | (((funny(paul)|~rich(paul)))<=>((creative(paul)&humble(paul))))&
(![X]:(~funny(X)<=>(curious(X)&patient(X))))&
(((kind(susan)&~rich(susan)))=>((old(fred)<~>~happy(fred))))&
(![X]:((~kind(X)<~>~generous(X))<=>(happy(X)&~creative(X))))&
(![X]:((~quiet(X)|~creative(X))=>~humble(X)))&
(((rich(susan)&generous(susan)))<=>(wi... | curious(paul) | [
"p0",
"p1",
"p4",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4908343666946192039748893
% SZS output start Proof for 4908343666946192039748893
1. (~rich(paul) | funny(paul)) <=> (humble(paul) & creative(paul)) [input p0]
2. ! [X0] : (~funny(X0) <=> (patient(X0) & curious(X0))) [input p1]
5. ! [X0] : ((~creative(X0) | ~quiet(X0)) => ~humble(X0)) [inp... | 0 |
Everyone who is either calm or kind is both tall and rich.
If someone is either humble or not kind then someone is humble or not wise and vice versa.
Everyone who is not happy is either not brave or patient and vice versa.
If someone is not happy or strong then fred is wise or not generous.
If someone is either brave o... | Fred is not patient. | entailment | (![X]:((calm(X)<~>kind(X))=>(tall(X)&rich(X))))&
((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((humble(X)|~wise(X)))))&
(![X]:(~happy(X)<=>(~brave(X)<~>patient(X))))&
((?[X]:((~happy(X)|strong(X))))=>((wise(fred)|~generous(fred))))&
((?[X]:((brave(X)<~>happy(X))))=>((~quiet(john)&quiet(john))))&
(![X]:(generous(X)<=>(happy... | ~patient(fred) | [
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5443114280686249686130643
% SZS output start Proof for 5443114280686249686130643
3. ! [X0] : (~happy(X0) <=> (~brave(X0) <~> patient(X0))) [input p2]
5. ? [X0] : (brave(X0) <~> happy(X0)) => (quiet(john) & ~quiet(john)) [input p4]
25. patient(fred) [input hypothesis]
32. (quiet(john) & ~q... | 0 |
Everyone who is either happy or kind is both not curious and wise and vice versa. Everyone who is generous or funny is rich or happy. Everyone who is patient is curious or happy and vice versa. If alice is tall or not humble then someone is wise or old. If alice is not calm then paul is either not happy or tall. Everyo... | Susan is rich. | contradiction | (![X]:((happy(X)<~>kind(X))<=>(~curious(X)&wise(X))))&
(![X]:((generous(X)|funny(X))=>(rich(X)|happy(X))))&
(![X]:(patient(X)<=>(curious(X)|happy(X))))&
(((tall(alice)|~humble(alice)))=>(?[X]:((wise(X)|old(X)))))&
((~calm(alice))=>((~happy(paul)<~>tall(paul))))&
(![X]:((~old(X)&~tall(X))<=>~patient(X)))&
((?[X]:(~wise(... | rich(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3497125293912631347272682
% SZS output start Proof for 3497125293912631347272682
11. ! [X0] : ((~rich(X0) | ~tall(X0)) <=> tall(X0)) [input p10]
24. rich(susan) [input hypothesis]
62. ! [X0] : (((~rich(X0) | ~tall(X0)) | ~tall(X0)) & (tall(X0) | (rich(X0) & tall(X0)))) [nnf transformation... | 0 |
If someone is either not calm or creative then someone is both old and brave. Everyone who is not wise is both humble and quiet and vice versa. If someone is generous or not patient then someone is creative or not funny and vice versa. If susan is brave then mary is generous. Everyone who is both not rich and rich is b... | Paul is tall. | entailment | ((?[X]:((~calm(X)<~>creative(X))))=>(?[X]:((old(X)&brave(X)))))&
(![X]:(~wise(X)<=>(humble(X)&quiet(X))))&
((?[X]:((generous(X)|~patient(X))))<=>(?[X]:((creative(X)|~funny(X)))))&
((brave(susan))=>(generous(mary)))&
(![X]:((~rich(X)&rich(X))<=>(quiet(X)&happy(X))))&
(![X]:((~kind(X)&~wise(X))<=>brave(X)))&
((?[X]:((~hu... | tall(paul) | [
"p1",
"p5",
"p8",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1975822370939508001631644
% SZS output start Proof for 1975822370939508001631644
2. ! [X0] : (~wise(X0) <=> (quiet(X0) & humble(X0))) [input p1]
6. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> brave(X0)) [input p5]
9. ! [X0] : ((old(X0) & brave(X0)) <=> (wise(X0) <~> kind(X0))) [input p8]
13. ! ... | 0 |
If someone is not funny or not calm then paul is either not kind or funny. If fred is not brave then paul is not generous or tall. Everyone who is kind is both rich and not creative. Everyone who is generous or not rich is either patient or not happy and vice versa. If someone is both not brave and humble then someone ... | Fred is not patient. | contradiction | ((?[X]:((~funny(X)|~calm(X))))=>((~kind(paul)<~>funny(paul))))&
((~brave(fred))=>((~generous(paul)|tall(paul))))&
(![X]:(kind(X)=>(rich(X)&~creative(X))))&
(![X]:((generous(X)|~rich(X))<=>(patient(X)<~>~happy(X))))&
((?[X]:((~brave(X)&humble(X))))<=>(?[X]:((~kind(X)<~>~strong(X)))))&
(![X]:((~calm(X)|~kind(X))<=>(stron... | ~patient(fred) | [
"p2",
"p3",
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5722418256688308780450955
% SZS output start Proof for 5722418256688308780450955
3. ! [X0] : (kind(X0) => (~creative(X0) & rich(X0))) [input p2]
4. ! [X0] : ((~rich(X0) | generous(X0)) <=> (patient(X0) <~> ~happy(X0))) [input p3]
6. ! [X0] : ((~kind(X0) | ~calm(X0)) <=> (~curious(X0) & st... | 0 |
Everyone who is both tall and patient is either not quiet or rich.
If someone is strong then someone is tall.
Everyone who is not patient is not creative or not tall.
Everyone who is both not patient and not wise is either brave or not funny.
Everyone who is both generous and not curious is calm.
If someone is not wise... | Susan is not tall. | neutral | (![X]:((tall(X)&patient(X))=>(~quiet(X)<~>rich(X))))&
((?[X]:(strong(X)))=>(?[X]:(tall(X))))&
(![X]:(~patient(X)=>(~creative(X)|~tall(X))))&
(![X]:((~patient(X)&~wise(X))=>(brave(X)<~>~funny(X))))&
(![X]:((generous(X)&~curious(X))=>calm(X)))&
((?[X]:(~wise(X)))<=>((kind(susan)|~old(susan))))&
((?[X]:((funny(X)<~>genero... | ~tall(susan) | [] | null | 0 |
Everyone who is old is generous or not funny and vice versa.
Everyone who is either not humble or rich is either not brave or funny and vice versa.
Everyone who is both not old and not funny is either not strong or not old and vice versa.
If someone is either brave or not old then mary is either generous or tall and vi... | Lucy is generous. | contradiction | (![X]:(old(X)<=>(generous(X)|~funny(X))))&
(![X]:((~humble(X)<~>rich(X))<=>(~brave(X)<~>funny(X))))&
(![X]:((~old(X)&~funny(X))<=>(~strong(X)<~>~old(X))))&
((?[X]:((brave(X)<~>~old(X))))<=>((generous(mary)<~>tall(mary))))&
((?[X]:(brave(X)))<=>(?[X]:(patient(X))))&
(((~happy(john)|~kind(john)))=>(curious(lucy)))&
(((ca... | generous(lucy) | [
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6165650733960508174116541
% SZS output start Proof for 6165650733960508174116541
8. ? [X0] : (~kind(X0) | brave(X0)) => ? [X0] : (wise(X0) & humble(X0)) [input p7]
12. ! [X0] : ((generous(X0) | brave(X0)) <=> (~kind(X0) & brave(X0))) [input p11]
14. ! [X0] : ((strong(X0) | ~humble(X0)) =>... | 0 |
If someone is either brave or not calm then someone is either not patient or rich. If mary is quiet or strong then someone is both not rich and quiet and vice versa. If alice is strong then mary is either tall or humble. If someone is either funny or not old then alice is quiet or strong. Everyone who is not brave is b... | John is not funny. | neutral | ((?[X]:((brave(X)<~>~calm(X))))=>(?[X]:((~patient(X)<~>rich(X)))))&
(((quiet(mary)|strong(mary)))<=>(?[X]:((~rich(X)&quiet(X)))))&
((strong(alice))=>((tall(mary)<~>humble(mary))))&
((?[X]:((funny(X)<~>~old(X))))=>((quiet(alice)|strong(alice))))&
(![X]:(~brave(X)=>(happy(X)&~calm(X))))&
(![X]:((~brave(X)<~>calm(X))=>(~o... | ~funny(john) | [] | null | 0 |
If someone is not humble then john is not patient.
If paul is either humble or not patient then someone is not calm.
If john is either not happy or rich then someone is old or not strong and vice versa.
Everyone who is not quiet or not happy is both not funny and rich and vice versa.
Everyone who is either not quiet or... | John is calm. | entailment | ((?[X]:(~humble(X)))=>(~patient(john)))&
(((humble(paul)<~>~patient(paul)))=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X))<=>(kind(X)&~brave(X))))&
(![X]:((old(X)<~>~strong(X))<=>(patient(X)&~happy(X... | calm(john) | [
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5572267300216443841359384
% SZS output start Proof for 5572267300216443841359384
8. ! [X0] : ((~quiet(X0) & ~calm(X0)) => (~creative(X0) & calm(X0))) [input p7]
9. ! [X0] : ((curious(X0) & ~calm(X0)) <=> (~quiet(X0) | ~funny(X0))) [input p8]
13. ! [X0] : ((~calm(X0) | ~curious(X0)) <=> (o... | 0 |
Everyone who is either humble or brave is both strong and not quiet and vice versa. If paul is not wise then lucy is strong or creative. Everyone who is both not happy and strong is not funny or not curious and vice versa. Everyone who is both not funny and not happy is not strong or not funny and vice versa. Everyone ... | John is tall. | contradiction | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&~quiet(X))))&
((~wise(paul))=>((strong(lucy)|creative(lucy))))&
(![X]:((~happy(X)&strong(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~funny(X)&~happy(X))<=>(~strong(X)|~funny(X))))&
(![X]:((quiet(X)|wise(X))=>(~curious(X)&~funny(X))))&
(((rich(mary)<~>~tall(mary)))<=>(~quiet(susa... | tall(john) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1187852231251743019929079
% SZS output start Proof for 1187852231251743019929079
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (~curious(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~funny(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) | quiet(X0)) => (~fu... | 0 |
If susan is either curious or not old then susan is either calm or kind and vice versa.
If john is both not calm and not generous then someone is both calm and curious and vice versa.
Everyone who is generous or not brave is either old or not brave.
If someone is calm then someone is both not funny and not happy and vi... | Fred is curious. | neutral | (((curious(susan)<~>~old(susan)))<=>((calm(susan)<~>kind(susan))))&
(((~calm(john)&~generous(john)))<=>(?[X]:((calm(X)&curious(X)))))&
(![X]:((generous(X)|~brave(X))=>(old(X)<~>~brave(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~funny(X)&~happy(X)))))&
((?[X]:((~creative(X)&patient(X))))<=>(happy(john)))&
(![X]:((~happy(X)<~>~g... | curious(fred) | [] | null | 0 |
Everyone who is either tall or rich is both patient and not rich and vice versa.
Everyone who is humble or not rich is not kind and vice versa.
If john is wise or not humble then lucy is either not brave or calm.
If someone is not patient then susan is funny and vice versa.
Everyone who is brave or humble is both humbl... | Paul is funny. | neutral | (![X]:((tall(X)<~>rich(X))<=>(patient(X)&~rich(X))))&
(![X]:((humble(X)|~rich(X))<=>~kind(X)))&
(((wise(john)|~humble(john)))=>((~brave(lucy)<~>calm(lucy))))&
((?[X]:(~patient(X)))<=>(funny(susan)))&
(![X]:((brave(X)|humble(X))<=>(humble(X)&~humble(X))))&
(![X]:((~strong(X)<~>~quiet(X))=>~calm(X)))&
(![X]:(generous(X)<... | funny(paul) | [] | null | 0 |
Everyone who is both curious and not kind is not funny and vice versa. If someone is not patient then someone is rich or happy. Everyone who is not happy or not rich is kind or calm and vice versa. Everyone who is not generous or not humble is not calm or not rich and vice versa. If someone is not kind then someone is ... | Paul is not funny. | contradiction | (![X]:((curious(X)&~kind(X))<=>~funny(X)))&
((?[X]:(~patient(X)))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((~happy(X)|~rich(X))<=>(kind(X)|calm(X))))&
(![X]:((~generous(X)|~humble(X))<=>(~calm(X)|~rich(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(~generous(X))))&
((?[X]:((~kind(X)<~>~rich(X))))=>((~brave(mary)&~humble(mary))))&
(![... | ~funny(paul) | [
"p0",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3282814291910057766693781
% SZS output start Proof for 3282814291910057766693781
1. ! [X0] : ((~kind(X0) & curious(X0)) <=> ~funny(X0)) [input p0]
5. ? [X0] : ~kind(X0) <=> ? [X0] : ~generous(X0) [input p4]
7. ! [X0] : ((~curious(X0) & humble(X0)) <=> (~calm(X0) | ~generous(X0))) [input p... | 0 |
Everyone who is wise is either not brave or not generous. Everyone who is not curious is both not tall and patient and vice versa. If fred is either old or not quiet then alice is both old and not quiet. If fred is not brave then someone is either creative or quiet and vice versa. If someone is both not kind and not st... | John is not strong. | contradiction | (![X]:(wise(X)=>(~brave(X)<~>~generous(X))))&
(![X]:(~curious(X)<=>(~tall(X)&patient(X))))&
(((old(fred)<~>~quiet(fred)))=>((old(alice)&~quiet(alice))))&
((~brave(fred))<=>(?[X]:((creative(X)<~>quiet(X)))))&
((?[X]:((~kind(X)&~strong(X))))<=>(?[X]:((creative(X)&~wise(X)))))&
(((~brave(lucy)<~>~happy(lucy)))=>((~patient... | ~strong(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1218399756416369934176520
% SZS output start Proof for 1218399756416369934176520
12. ! [X0] : ((~kind(X0) <~> kind(X0)) <=> (~kind(X0) & strong(X0))) [input p11]
23. ~strong(john) [input hypothesis]
53. ! [X0] : ((((~kind(X0) | kind(X0)) & (kind(X0) | ~kind(X0))) | (kind(X0) | ~strong(X0)... | 0 |
Everyone who is curious is creative and vice versa. If susan is either strong or quiet then mary is both strong and happy. Everyone who is not calm is either old or brave. If someone is not calm or not happy then john is both creative and curious and vice versa. Everyone who is creative or not happy is either not patie... | John is not generous. | contradiction | (![X]:(curious(X)<=>creative(X)))&
(((strong(susan)<~>quiet(susan)))=>((strong(mary)&happy(mary))))&
(![X]:(~calm(X)=>(old(X)<~>brave(X))))&
((?[X]:((~calm(X)|~happy(X))))<=>((creative(john)&curious(john))))&
(![X]:((creative(X)|~happy(X))<=>(~patient(X)<~>~brave(X))))&
(((~wise(paul)&~kind(paul)))<=>((~quiet(susan)|ha... | ~generous(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4631133519137784009891274
% SZS output start Proof for 4631133519137784009891274
16. ! [X0] : ((creative(X0) | ~creative(X0)) => (~wise(X0) & generous(X0))) [input p15]
22. ~generous(john) [input hypothesis]
30. ! [X0] : ((~wise(X0) & generous(X0)) | (~creative(X0) & creative(X0))) [ennf ... | 0 |
If someone is not happy then paul is not old. Everyone who is both not tall and quiet is wise or humble and vice versa. Everyone who is not humble or not quiet is both tall and funny. Everyone who is either not strong or tall is both brave and not brave and vice versa. If mary is both not patient and not quiet then pau... | Paul is calm. | neutral | ((?[X]:(~happy(X)))=>(~old(paul)))&
(![X]:((~tall(X)&quiet(X))<=>(wise(X)|humble(X))))&
(![X]:((~humble(X)|~quiet(X))=>(tall(X)&funny(X))))&
(![X]:((~strong(X)<~>tall(X))<=>(brave(X)&~brave(X))))&
(((~patient(mary)&~quiet(mary)))<=>((~creative(paul)|~quiet(paul))))&
((?[X]:((~patient(X)<~>~happy(X))))<=>(?[X]:(~curious... | calm(paul) | [] | null | 0 |
Everyone who is creative is not tall and vice versa. Everyone who is not wise or humble is not kind. If alice is both wise and not patient then someone is not rich and vice versa. If alice is either wise or calm then lucy is both not calm and patient. Everyone who is both rich and calm is not tall and vice versa. Every... | Mary is tall. | neutral | (![X]:(creative(X)<=>~tall(X)))&
(![X]:((~wise(X)|humble(X))=>~kind(X)))&
(((wise(alice)&~patient(alice)))<=>(?[X]:(~rich(X))))&
(((wise(alice)<~>calm(alice)))=>((~calm(lucy)&patient(lucy))))&
(![X]:((rich(X)&calm(X))<=>~tall(X)))&
(![X]:((creative(X)<~>curious(X))=>(generous(X)<~>wise(X))))&
(![X]:((generous(X)<~>~pat... | tall(mary) | [] | null | 0 |
Everyone who is not old or not curious is not humble and vice versa.
If susan is not brave or not generous then alice is both not tall and calm.
Everyone who is both patient and brave is patient or not humble and vice versa.
If someone is either happy or quiet then lucy is both not curious and not humble and vice versa... | Susan is generous. | entailment | (![X]:((~old(X)|~curious(X))<=>~humble(X)))&
(((~brave(susan)|~generous(susan)))=>((~tall(alice)&calm(alice))))&
(![X]:((patient(X)&brave(X))<=>(patient(X)|~humble(X))))&
((?[X]:((happy(X)<~>quiet(X))))<=>((~curious(lucy)&~humble(lucy))))&
(![X]:((kind(X)&~wise(X))<=>(generous(X)|~tall(X))))&
(![X]:(~funny(X)=>(~curiou... | generous(susan) | [
"p1",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9223296139732784784436913
% SZS output start Proof for 9223296139732784784436913
2. (~generous(susan) | ~brave(susan)) => (calm(alice) & ~tall(alice)) [input p1]
15. ! [X0] : (~calm(X0) <=> (calm(X0) | ~tall(X0))) [input p14]
23. ~generous(susan) [input hypothesis]
25. (calm(alice) & ~tal... | 0 |
If someone is not wise or not kind then someone is both creative and not curious. Everyone who is not wise is not creative. Everyone who is both brave and curious is both not brave and not kind. If someone is either happy or not tall then lucy is not creative. Everyone who is not calm or not creative is calm and vice v... | Paul is not quiet. | contradiction | ((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((creative(X)&~curious(X)))))&
(![X]:(~wise(X)=>~creative(X)))&
(![X]:((brave(X)&curious(X))=>(~brave(X)&~kind(X))))&
((?[X]:((happy(X)<~>~tall(X))))=>(~creative(lucy)))&
(![X]:((~calm(X)|~creative(X))<=>calm(X)))&
(![X]:(~tall(X)=>(curious(X)|~wise(X))))&
((~kind(alice))<=>(?[X]:((... | ~quiet(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 82694621338888903433859
% SZS output start Proof for 82694621338888903433859
20. quiet(paul) & brave(paul) [input p19]
25. ~quiet(paul) [input hypothesis]
135. quiet(paul) [cnf transformation 20]
144. ~quiet(paul) [cnf transformation 25]
292. $false [subsumption resolution 144,135]
% SZS ... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is curious or rich is either not wise or not generous and vice versa.
Everyone who is not calm or not patient is both not generous and wise.
If someone is old then susan is wise or not brave.
If someone is both funny and not rich then fred is eithe... | Mary is not curious. | neutral | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((curious(X)|rich(X))<=>(~wise(X)<~>~generous(X))))&
(![X]:((~calm(X)|~patient(X))=>(~generous(X)&wise(X))))&
((?[X]:(old(X)))=>((wise(susan)|~brave(susan))))&
((?[X]:((funny(X)&~rich(X))))<=>((generous(fred)<~>kind(fred))))&
(![X]:(~rich(X)=>(~humble(X)<~>~gener... | ~curious(mary) | [] | null | 0 |
If someone is calm then someone is both not funny and curious.
Everyone who is quiet or not creative is not kind or calm.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quiet.
Everyone who is both not humble and not generous is either not ri... | Alice is tall. | contradiction | ((?[X]:(calm(X)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((quiet(X)|~creative(X))=>(~kind(X)|calm(X))))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~rich(X)<~>~old(X))))&
((?[X]:((~quiet(X)&~brave(X))))<=>(?[X]:((... | tall(alice) | [
"p3",
"p6",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6144701536071080872512513
% SZS output start Proof for 6144701536071080872512513
4. ? [X0] : (~humble(X0) | ~curious(X0)) => (patient(paul) <~> ~quiet(paul)) [input p3]
7. ? [X0] : (tall(X0) | generous(X0)) <=> strong(alice) [input p6]
10. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X0] : ... | 0 |
If fred is creative then someone is strong and vice versa.
If alice is both curious and calm then someone is either not creative or not quiet and vice versa.
If someone is old or quiet then someone is old.
Everyone who is old or humble is both kind and generous.
Everyone who is both brave and strong is either old or br... | Alice is not creative. | contradiction | ((creative(fred))<=>(?[X]:(strong(X))))&
(((curious(alice)&calm(alice)))<=>(?[X]:((~creative(X)<~>~quiet(X)))))&
((?[X]:((old(X)|quiet(X))))=>(?[X]:(old(X))))&
(![X]:((old(X)|humble(X))=>(kind(X)&generous(X))))&
(![X]:((brave(X)&strong(X))<=>(old(X)<~>brave(X))))&
((?[X]:(happy(X)))<=>((~calm(mary)|brave(mary))))&
(((~... | ~creative(alice) | [
"p1",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6165917459890580928555297
% SZS output start Proof for 6165917459890580928555297
2. (calm(alice) & curious(alice)) <=> ? [X0] : (~creative(X0) <~> ~quiet(X0)) [input p1]
10. ! [X0] : (calm(X0) => (~quiet(X0) & ~wise(X0))) [input p9]
18. quiet(alice) [input p17]
25. ~creative(alice) [input... | 0 |
Everyone who is either humble or strong is calm and vice versa. Everyone who is both not quiet and calm is both not kind and old. Everyone who is both not calm and rich is not happy or old and vice versa. If someone is not tall then someone is creative or not rich. Everyone who is either generous or not funny is both n... | Susan is not old. | entailment | (![X]:((humble(X)<~>strong(X))<=>calm(X)))&
(![X]:((~quiet(X)&calm(X))=>(~kind(X)&old(X))))&
(![X]:((~calm(X)&rich(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:((generous(X)<~>~funny(X))=>(~quiet(X)&curious(X))))&
(![X]:((~old(X)<~>~curious(X))<=>patient(X)))&
((?[X]:(patient(... | ~old(susan) | [
"p5",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6518058076492128180618878
% SZS output start Proof for 6518058076492128180618878
6. ! [X0] : ((~old(X0) <~> ~curious(X0)) <=> patient(X0)) [input p5]
8. ! [X0] : ((strong(X0) | curious(X0)) <=> patient(X0)) [input p7]
18. ~strong(susan) [input p17]
24. old(susan) [input hypothesis]
46. ! ... | 0 |
Everyone who is not creative or funny is not funny and vice versa.
If someone is not calm then susan is not rich or not brave.
Everyone who is not patient or quiet is not funny and vice versa.
If someone is creative or patient then lucy is either quiet or curious.
If mary is either not patient or not quiet then lucy is... | Susan is funny. | contradiction | (![X]:((~creative(X)|funny(X))<=>~funny(X)))&
((?[X]:(~calm(X)))=>((~rich(susan)|~brave(susan))))&
(![X]:((~patient(X)|quiet(X))<=>~funny(X)))&
((?[X]:((creative(X)|patient(X))))=>((quiet(lucy)<~>curious(lucy))))&
(((~patient(mary)<~>~quiet(mary)))<=>((~funny(lucy)&~patient(lucy))))&
((wise(mary))<=>((~quiet(paul)<~>wi... | funny(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 7892144863519280868434299
% SZS output start Proof for 7892144863519280868434299
1. ! [X0] : ((funny(X0) | ~creative(X0)) <=> ~funny(X0)) [input p0]
25. funny(susan) [input hypothesis]
38. ! [X0] : (((funny(X0) | ~creative(X0)) | funny(X0)) & (~funny(X0) | (~funny(X0) & creative(X0)))) [n... | 0 |
If someone is not happy then someone is humble. If someone is either tall or brave then someone is both not humble and not tall. If john is not rich then lucy is both not brave and creative and vice versa. Everyone who is not creative or funny is old or not funny and vice versa. If someone is not wise or not rich then ... | Alice is not funny. | contradiction | ((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((tall(X)<~>brave(X))))=>(?[X]:((~humble(X)&~tall(X)))))&
((~rich(john))<=>((~brave(lucy)&creative(lucy))))&
(![X]:((~creative(X)|funny(X))<=>(old(X)|~funny(X))))&
((?[X]:((~wise(X)|~rich(X))))<=>((~brave(susan)&~humble(susan))))&
(![X]:(~old(X)<=>patient(X)))&
(![X]:((~... | ~funny(alice) | [
"p3",
"p4",
"p6",
"p8",
"p10",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 641051913246814123274941
% SZS output start Proof for 641051913246814123274941
4. ! [X0] : ((funny(X0) | ~creative(X0)) <=> (~funny(X0) | old(X0))) [input p3]
5. ? [X0] : (~rich(X0) | ~wise(X0)) <=> (~humble(susan) & ~brave(susan)) [input p4]
7. ! [X0] : ((~humble(X0) <~> humble(X0)) => (... | 0 |
If someone is either brave or not curious then paul is both not rich and not calm and vice versa.
Everyone who is not strong is happy.
If fred is tall then someone is not humble.
If someone is patient then paul is either brave or wise.
If john is both not curious and tall then paul is either quiet or humble and vice ve... | Alice is strong. | neutral | ((?[X]:((brave(X)<~>~curious(X))))<=>((~rich(paul)&~calm(paul))))&
(![X]:(~strong(X)=>happy(X)))&
((tall(fred))=>(?[X]:(~humble(X))))&
((?[X]:(patient(X)))=>((brave(paul)<~>wise(paul))))&
(((~curious(john)&tall(john)))<=>((quiet(paul)<~>humble(paul))))&
(![X]:((~old(X)<~>~brave(X))<=>(brave(X)<~>generous(X))))&
((kind(... | strong(alice) | [] | null | 0 |
Everyone who is not old is either not old or not rich and vice versa.
If someone is both not old and not humble then someone is either strong or not generous and vice versa.
Everyone who is both generous and strong is either rich or not funny.
If lucy is not kind then someone is both not patient and quiet.
Everyone who... | Mary is rich. | entailment | (![X]:(~old(X)<=>(~old(X)<~>~rich(X))))&
((?[X]:((~old(X)&~humble(X))))<=>(?[X]:((strong(X)<~>~generous(X)))))&
(![X]:((generous(X)&strong(X))=>(rich(X)<~>~funny(X))))&
((~kind(lucy))=>(?[X]:((~patient(X)&quiet(X)))))&
(![X]:((~kind(X)<~>strong(X))<=>(~creative(X)<~>generous(X))))&
(((~brave(paul)<~>brave(paul)))=>(?[X... | rich(mary) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4910961878094095698490617
% SZS output start Proof for 4910961878094095698490617
1. ! [X0] : (~old(X0) <=> (~old(X0) <~> ~rich(X0))) [input p0]
20. ~rich(mary) [input hypothesis]
35. ! [X0] : ((~old(X0) | ((~old(X0) | rich(X0)) & (~rich(X0) | old(X0)))) & (((rich(X0) | old(X0)) & (~rich(X... | 0 |
If someone is both strong and generous then someone is either kind or not brave. If fred is wise or brave then someone is not curious or patient and vice versa. Everyone who is both not humble and not brave is not kind. Everyone who is both not wise and old is either not old or happy and vice versa. If someone is eithe... | Lucy is not brave. | entailment | ((?[X]:((strong(X)&generous(X))))=>(?[X]:((kind(X)<~>~brave(X)))))&
(((wise(fred)|brave(fred)))<=>(?[X]:((~curious(X)|patient(X)))))&
(![X]:((~humble(X)&~brave(X))=>~kind(X)))&
(![X]:((~wise(X)&old(X))<=>(~old(X)<~>happy(X))))&
((?[X]:((curious(X)<~>~calm(X))))<=>(kind(lucy)))&
(![X]:((creative(X)|~old(X))<=>(tall(X)&~... | ~brave(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1478557064140362313133383
% SZS output start Proof for 1478557064140362313133383
12. ! [X0] : ((strong(X0) | brave(X0)) <=> (calm(X0) & ~brave(X0))) [input p11]
23. brave(lucy) [input hypothesis]
65. ! [X0] : (((strong(X0) | brave(X0)) | (~calm(X0) | brave(X0))) & ((calm(X0) & ~brave(X0))... | 0 |
If someone is either not curious or not patient then someone is not old or not humble and vice versa.
Everyone who is wise is either brave or not rich and vice versa.
Everyone who is not quiet is both not brave and curious.
If susan is both not curious and calm then someone is both not patient and not rich and vice ver... | Alice is not kind. | entailment | ((?[X]:((~curious(X)<~>~patient(X))))<=>(?[X]:((~old(X)|~humble(X)))))&
(![X]:(wise(X)<=>(brave(X)<~>~rich(X))))&
(![X]:(~quiet(X)=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~qu... | ~kind(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7613419304554239893823721
% SZS output start Proof for 7613419304554239893823721
10. ! [X0] : ((~kind(X0) & patient(X0)) <=> (~generous(X0) | kind(X0))) [input p9]
25. kind(alice) [input hypothesis]
60. ! [X0] : (((~kind(X0) & patient(X0)) | (generous(X0) & ~kind(X0))) & ((~generous(X0) |... | 0 |
If mary is either not quiet or not kind then john is brave and vice versa.
If someone is either patient or not humble then fred is not patient and vice versa.
Everyone who is either humble or not kind is both not tall and not generous and vice versa.
If someone is not calm or strong then alice is not creative and vice ... | Fred is rich. | contradiction | (((~quiet(mary)<~>~kind(mary)))<=>(brave(john)))&
((?[X]:((patient(X)<~>~humble(X))))<=>(~patient(fred)))&
(![X]:((humble(X)<~>~kind(X))<=>(~tall(X)&~generous(X))))&
((?[X]:((~calm(X)|strong(X))))<=>(~creative(alice)))&
((quiet(susan))=>(?[X]:((~patient(X)&~funny(X)))))&
(![X]:((~strong(X)&~patient(X))=>tall(X)))&
(![X... | rich(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7613659693345319901664917
% SZS output start Proof for 7613659693345319901664917
14. ! [X0] : ((generous(X0) <~> rich(X0)) <=> generous(X0)) [input p13]
25. rich(fred) [input hypothesis]
58. ! [X0] : ((((~rich(X0) | ~generous(X0)) & (rich(X0) | generous(X0))) | ~generous(X0)) & (generous(... | 0 |
Everyone who is not tall or happy is not old and vice versa.
Everyone who is both generous and not humble is either humble or not curious and vice versa.
If someone is either not creative or not strong then fred is both not patient and strong and vice versa.
Everyone who is calm is curious and vice versa.
Everyone who ... | Paul is humble. | contradiction | (![X]:((~tall(X)|happy(X))<=>~old(X)))&
(![X]:((generous(X)&~humble(X))<=>(humble(X)<~>~curious(X))))&
((?[X]:((~creative(X)<~>~strong(X))))<=>((~patient(fred)&strong(fred))))&
(![X]:(calm(X)<=>curious(X)))&
(![X]:((patient(X)<~>calm(X))<=>~happy(X)))&
((funny(susan))<=>(?[X]:(~humble(X))))&
(![X]:(~wise(X)<=>(happy(X)... | humble(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4406290399478080337762413
% SZS output start Proof for 4406290399478080337762413
22. ~humble(paul) & happy(paul) [input p21]
24. humble(paul) [input hypothesis]
131. ~humble(paul) [cnf transformation 22]
133. humble(paul) [cnf transformation 24]
288. $false [subsumption resolution 133,131... | 0 |
Everyone who is either creative or not wise is creative.
Everyone who is not kind or patient is not quiet or brave.
Everyone who is either not patient or not wise is both brave and quiet.
Everyone who is not quiet is old.
If lucy is either not wise or quiet then alice is rich and vice versa.
If john is either not tall ... | Fred is not wise. | entailment | (![X]:((creative(X)<~>~wise(X))=>creative(X)))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)|brave(X))))&
(![X]:((~patient(X)<~>~wise(X))=>(brave(X)&quiet(X))))&
(![X]:(~quiet(X)=>old(X)))&
(((~wise(lucy)<~>quiet(lucy)))<=>(rich(alice)))&
(((~tall(john)<~>funny(john)))=>(?[X]:((~strong(X)|strong(X)))))&
((?[X]:((brave(X)&h... | ~wise(fred) | [
"p1",
"p2",
"p3",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5539279311827663294301039
% SZS output start Proof for 5539279311827663294301039
2. ! [X0] : ((patient(X0) | ~kind(X0)) => (brave(X0) | ~quiet(X0))) [input p1]
3. ! [X0] : ((~patient(X0) <~> ~wise(X0)) => (quiet(X0) & brave(X0))) [input p2]
4. ! [X0] : (~quiet(X0) => old(X0)) [input p3]
1... | 0 |
If someone is not happy then john is calm or humble and vice versa. If someone is either not humble or quiet then someone is both tall and not funny and vice versa. Everyone who is kind is both not strong and not tall and vice versa. Everyone who is humble is not strong or not humble. If mary is either not curious or s... | Lucy is curious. | neutral | ((?[X]:(~happy(X)))<=>((calm(john)|humble(john))))&
((?[X]:((~humble(X)<~>quiet(X))))<=>(?[X]:((tall(X)&~funny(X)))))&
(![X]:(kind(X)<=>(~strong(X)&~tall(X))))&
(![X]:(humble(X)=>(~strong(X)|~humble(X))))&
(((~curious(mary)<~>strong(mary)))<=>((calm(fred)|strong(fred))))&
((?[X]:((~funny(X)<~>~quiet(X))))=>(?[X]:(~kind... | curious(lucy) | [] | null | 0 |
Everyone who is kind is either quiet or funny and vice versa.
Everyone who is both not happy and old is tall.
Everyone who is both quiet and happy is rich or not rich and vice versa.
If someone is patient or not calm then someone is both quiet and not happy.
Everyone who is both not funny and wise is both strong and br... | Lucy is not creative. | contradiction | (![X]:(kind(X)<=>(quiet(X)<~>funny(X))))&
(![X]:((~happy(X)&old(X))=>tall(X)))&
(![X]:((quiet(X)&happy(X))<=>(rich(X)|~rich(X))))&
((?[X]:((patient(X)|~calm(X))))=>(?[X]:((quiet(X)&~happy(X)))))&
(![X]:((~funny(X)&wise(X))<=>(strong(X)&brave(X))))&
((?[X]:((tall(X)|~wise(X))))<=>((~kind(lucy)&quiet(lucy))))&
((?[X]:((p... | ~creative(lucy) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3537018747846824982259663
% SZS output start Proof for 3537018747846824982259663
3. ! [X0] : ((happy(X0) & quiet(X0)) <=> (~rich(X0) | rich(X0))) [input p2]
11. ! [X0] : (~quiet(X0) <=> ~creative(X0)) [input p10]
23. ~creative(lucy) [input hypothesis]
32. ! [X0] : (((happy(X0) & quiet(X0)... | 0 |
If alice is not wise then someone is not old or patient and vice versa.
Everyone who is either not wise or curious is not old or patient and vice versa.
If lucy is generous or not calm then paul is not rich.
If fred is curious or not kind then lucy is both old and quiet.
Everyone who is strong or not happy is not rich ... | Alice is calm. | entailment | ((~wise(alice))<=>(?[X]:((~old(X)|patient(X)))))&
(![X]:((~wise(X)<~>curious(X))<=>(~old(X)|patient(X))))&
(((generous(lucy)|~calm(lucy)))=>(~rich(paul)))&
(((curious(fred)|~kind(fred)))=>((old(lucy)&quiet(lucy))))&
(![X]:((strong(X)|~happy(X))=>(~rich(X)|~quiet(X))))&
(![X]:(calm(X)=>~strong(X)))&
(![X]:(brave(X)<=>(h... | calm(alice) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 840644892883132626396797
% SZS output start Proof for 840644892883132626396797
9. (calm(alice) & ~rich(alice)) <=> ? [X0] : (quiet(X0) | ~brave(X0)) [input p8]
19. ? [X0] : (humble(X0) & ~brave(X0)) [input p18]
25. ~calm(alice) [input hypothesis]
49. ((calm(alice) & ~rich(alice)) | ! [X0]... | 0 |
Everyone who is tall is either creative or not humble.
Everyone who is not kind or not curious is curious and vice versa.
Everyone who is rich is wise or happy and vice versa.
If lucy is both not strong and funny then mary is humble.
If fred is brave or tall then paul is either not wise or not creative and vice versa.
... | Paul is not brave. | contradiction | (![X]:(tall(X)=>(creative(X)<~>~humble(X))))&
(![X]:((~kind(X)|~curious(X))<=>curious(X)))&
(![X]:(rich(X)<=>(wise(X)|happy(X))))&
(((~strong(lucy)&funny(lucy)))=>(humble(mary)))&
(((brave(fred)|tall(fred)))<=>((~wise(paul)<~>~creative(paul))))&
((?[X]:((tall(X)<~>~wise(X))))<=>(?[X]:((quiet(X)<~>humble(X)))))&
((?[X]:... | ~brave(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7408129757203349328914732
% SZS output start Proof for 7408129757203349328914732
10. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> brave(X0)) [input p9]
22. ~brave(paul) [input hypothesis]
55. ! [X0] : ((((~brave(X0) | brave(X0)) & (brave(X0) | ~brave(X0))) | ~brave(X0)) & (brave(X0) | ((~brav... | 0 |
Everyone who is either not generous or not strong is not wise or brave and vice versa. If someone is both old and tall then paul is quiet or not brave. If paul is not generous or not old then paul is humble or not rich. If someone is not humble or not tall then alice is not calm or strong. If someone is curious then al... | Paul is not kind. | neutral | (![X]:((~generous(X)<~>~strong(X))<=>(~wise(X)|brave(X))))&
((?[X]:((old(X)&tall(X))))=>((quiet(paul)|~brave(paul))))&
(((~generous(paul)|~old(paul)))=>((humble(paul)|~rich(paul))))&
((?[X]:((~humble(X)|~tall(X))))=>((~calm(alice)|strong(alice))))&
((?[X]:(curious(X)))<=>((~funny(alice)&happy(alice))))&
(![X]:((~humble... | ~kind(paul) | [] | null | 0 |
Everyone who is not patient is not quiet or old and vice versa.
Everyone who is both patient and kind is not rich and vice versa.
Everyone who is patient is both not happy and not old.
If john is wise or old then someone is either not brave or old and vice versa.
Everyone who is not creative or funny is both generous a... | Mary is not wise. | contradiction | (![X]:(~patient(X)<=>(~quiet(X)|old(X))))&
(![X]:((patient(X)&kind(X))<=>~rich(X)))&
(![X]:(patient(X)=>(~happy(X)&~old(X))))&
(((wise(john)|old(john)))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:((~creative(X)|funny(X))<=>(generous(X)&~happy(X))))&
((?[X]:((quiet(X)<~>curious(X))))=>((kind(susan)<~>~rich(susan))))&
((?[X... | ~wise(mary) | [
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 178849755238502439719396
% SZS output start Proof for 178849755238502439719396
2. ! [X0] : ((kind(X0) & patient(X0)) <=> ~rich(X0)) [input p1]
3. ! [X0] : (patient(X0) => (~old(X0) & ~happy(X0))) [input p2]
8. ! [X0] : ((~curious(X0) & rich(X0)) <=> ~happy(X0)) [input p7]
12. ? [X0] : (~k... | 0 |
Everyone who is creative or wise is not old and vice versa. If fred is not brave or not happy then lucy is rich and vice versa. Everyone who is kind or not brave is humble. If someone is both wise and funny then someone is not old or not strong. Everyone who is quiet or not brave is creative or not calm. Everyone who i... | Lucy is not calm. | entailment | (![X]:((creative(X)|wise(X))<=>~old(X)))&
(((~brave(fred)|~happy(fred)))<=>(rich(lucy)))&
(![X]:((kind(X)|~brave(X))=>humble(X)))&
((?[X]:((wise(X)&funny(X))))=>(?[X]:((~old(X)|~strong(X)))))&
(![X]:((quiet(X)|~brave(X))=>(creative(X)|~calm(X))))&
(![X]:((~calm(X)|rich(X))=>(~tall(X)|generous(X))))&
((?[X]:(~happy(X)))... | ~calm(lucy) | [
"p0",
"p7",
"p9",
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6236600987119507721718043
% SZS output start Proof for 6236600987119507721718043
1. ! [X0] : ((wise(X0) | creative(X0)) <=> ~old(X0)) [input p0]
8. ! [X0] : (funny(X0) <=> ~brave(X0)) [input p7]
10. ! [X0] : ((curious(X0) & kind(X0)) <=> (old(X0) <~> calm(X0))) [input p9]
13. ! [X0] : ((~... | 0 |
If john is either not calm or tall then john is either not strong or not humble. If someone is both rich and not tall then lucy is either old or not happy. Everyone who is both calm and humble is not funny or quiet. Everyone who is either not creative or funny is both not kind and creative. Everyone who is both not pat... | Mary is not old. | entailment | (((~calm(john)<~>tall(john)))=>((~strong(john)<~>~humble(john))))&
((?[X]:((rich(X)&~tall(X))))=>((old(lucy)<~>~happy(lucy))))&
(![X]:((calm(X)&humble(X))=>(~funny(X)|quiet(X))))&
(![X]:((~creative(X)<~>funny(X))=>(~kind(X)&creative(X))))&
(![X]:((~patient(X)&quiet(X))=>(~rich(X)<~>strong(X))))&
(((~patient(alice)|brav... | ~old(mary) | [
"p8",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4890417422485397855630798
% SZS output start Proof for 4890417422485397855630798
9. ! [X0] : (kind(X0) <=> (~kind(X0) & ~generous(X0))) [input p8]
10. ! [X0] : (curious(X0) => (quiet(X0) & tall(X0))) [input p9]
11. ! [X0] : ((~humble(X0) & curious(X0)) <=> (~creative(X0) | ~calm(X0))) [in... | 0 |
If mary is patient or humble then someone is not old and vice versa.
If fred is either creative or kind then mary is both funny and humble and vice versa.
If someone is generous then someone is strong or not quiet.
If fred is humble or not curious then someone is either funny or not rich.
Everyone who is either not cal... | Fred is generous. | neutral | (((patient(mary)|humble(mary)))<=>(?[X]:(~old(X))))&
(((creative(fred)<~>kind(fred)))<=>((funny(mary)&humble(mary))))&
((?[X]:(generous(X)))=>(?[X]:((strong(X)|~quiet(X)))))&
(((humble(fred)|~curious(fred)))=>(?[X]:((funny(X)<~>~rich(X)))))&
(![X]:((~calm(X)<~>~patient(X))<=>~funny(X)))&
(![X]:((patient(X)&happy(X))=>(... | generous(fred) | [] | null | 0 |
If mary is both brave and not humble then lucy is both curious and generous.
Everyone who is not tall or not rich is either wise or old and vice versa.
Everyone who is either not tall or not rich is not humble and vice versa.
If susan is not quiet or not brave then alice is both funny and kind.
Everyone who is not happ... | Alice is not creative. | neutral | (((brave(mary)&~humble(mary)))=>((curious(lucy)&generous(lucy))))&
(![X]:((~tall(X)|~rich(X))<=>(wise(X)<~>old(X))))&
(![X]:((~tall(X)<~>~rich(X))<=>~humble(X)))&
(((~quiet(susan)|~brave(susan)))=>((funny(alice)&kind(alice))))&
(![X]:((~happy(X)|~calm(X))<=>(strong(X)|quiet(X))))&
(((funny(susan)<~>~brave(susan)))=>(hu... | ~creative(alice) | [] | null | 0 |
If susan is not funny then someone is both quiet and calm and vice versa.
Everyone who is both not kind and quiet is wise or calm.
Everyone who is rich is not rich.
Everyone who is generous is both not brave and calm and vice versa.
If someone is calm or creative then fred is either not curious or happy.
If fred is wis... | Mary is not wise. | entailment | ((~funny(susan))<=>(?[X]:((quiet(X)&calm(X)))))&
(![X]:((~kind(X)&quiet(X))=>(wise(X)|calm(X))))&
(![X]:(rich(X)=>~rich(X)))&
(![X]:(generous(X)<=>(~brave(X)&calm(X))))&
((?[X]:((calm(X)|creative(X))))=>((~curious(fred)<~>happy(fred))))&
((wise(fred))=>(?[X]:((~humble(X)|~wise(X)))))&
(![X]:((~rich(X)|kind(X))<=>(wise(... | ~wise(mary) | [
"p2",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 481742558106769645175333
% SZS output start Proof for 481742558106769645175333
3. ! [X0] : (rich(X0) => ~rich(X0)) [input p2]
7. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (wise(X0) <~> ~humble(X0))) [input p6]
20. ~patient(mary) & ~humble(mary) [input p19]
25. wise(mary) [input hypothesis]
30.... | 0 |
Everyone who is both funny and strong is either not patient or not old.
Everyone who is both not creative and generous is either rich or not kind and vice versa.
Everyone who is not creative or not quiet is not creative.
Everyone who is not patient is not creative and vice versa.
If someone is not tall then mary is not... | Alice is not quiet. | contradiction | (![X]:((funny(X)&strong(X))=>(~patient(X)<~>~old(X))))&
(![X]:((~creative(X)&generous(X))<=>(rich(X)<~>~kind(X))))&
(![X]:((~creative(X)|~quiet(X))=>~creative(X)))&
(![X]:(~patient(X)<=>~creative(X)))&
((?[X]:(~tall(X)))=>((~generous(mary)|rich(mary))))&
((?[X]:((~funny(X)&quiet(X))))=>(?[X]:(~funny(X))))&
(![X]:((wise... | ~quiet(alice) | [
"p2",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5034396633303951712712847
% SZS output start Proof for 5034396633303951712712847
3. ! [X0] : ((~quiet(X0) | ~creative(X0)) => ~creative(X0)) [input p2]
19. quiet(alice) | creative(alice) [input p18]
25. ~quiet(alice) [input hypothesis]
30. ! [X0] : (~creative(X0) | (quiet(X0) & creative(X... | 0 |
Everyone who is not kind or not curious is either not curious or not rich.
If susan is old or funny then someone is not strong or not quiet and vice versa.
If someone is not calm or not brave then someone is either not creative or curious.
Everyone who is either generous or not kind is either curious or generous.
Every... | Mary is not quiet. | contradiction | (![X]:((~kind(X)|~curious(X))=>(~curious(X)<~>~rich(X))))&
(((old(susan)|funny(susan)))<=>(?[X]:((~strong(X)|~quiet(X)))))&
((?[X]:((~calm(X)|~brave(X))))=>(?[X]:((~creative(X)<~>curious(X)))))&
(![X]:((generous(X)<~>~kind(X))=>(curious(X)<~>generous(X))))&
(![X]:(~old(X)=>strong(X)))&
((?[X]:((kind(X)<~>calm(X))))<=>(... | ~quiet(mary) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 765867065808385389248930
% SZS output start Proof for 765867065808385389248930
2. (funny(susan) | old(susan)) <=> ? [X0] : (~quiet(X0) | ~strong(X0)) [input p1]
14. ? [X0] : (funny(X0) | old(X0)) <=> (creative(mary) & ~creative(mary)) [input p13]
23. ~quiet(mary) [input hypothesis]
35. ((... | 0 |
If someone is happy then someone is not funny or quiet.
Everyone who is either generous or not rich is strong and vice versa.
If someone is both creative and not old then someone is not curious and vice versa.
If someone is both happy and strong then fred is not tall or not kind.
Everyone who is either not creative or ... | Fred is not creative. | neutral | ((?[X]:(happy(X)))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((generous(X)<~>~rich(X))<=>strong(X)))&
((?[X]:((creative(X)&~old(X))))<=>(?[X]:(~curious(X))))&
((?[X]:((happy(X)&strong(X))))=>((~tall(fred)|~kind(fred))))&
(![X]:((~creative(X)<~>happy(X))<=>(creative(X)&~quiet(X))))&
(![X]:(~brave(X)<=>(creative(X)|~rich(X)... | ~creative(fred) | [] | null | 0 |
If susan is not rich then someone is either not strong or quiet.
If fred is not wise or calm then lucy is happy or wise and vice versa.
Everyone who is rich or humble is both curious and tall and vice versa.
Everyone who is both kind and patient is both not happy and funny and vice versa.
Everyone who is not brave or o... | John is creative. | neutral | ((~rich(susan))=>(?[X]:((~strong(X)<~>quiet(X)))))&
(((~wise(fred)|calm(fred)))<=>((happy(lucy)|wise(lucy))))&
(![X]:((rich(X)|humble(X))<=>(curious(X)&tall(X))))&
(![X]:((kind(X)&patient(X))<=>(~happy(X)&funny(X))))&
(![X]:((~brave(X)|old(X))<=>(brave(X)&~strong(X))))&
(((~creative(john)&~tall(john)))=>(?[X]:((strong(... | creative(john) | [] | null | 0 |
If john is not happy then someone is either happy or old.
Everyone who is kind is calm and vice versa.
If alice is either not humble or wise then lucy is funny or not rich.
Everyone who is funny is either not happy or kind and vice versa.
Everyone who is not old or old is either patient or happy.
Everyone who is not hu... | Lucy is humble. | contradiction | ((~happy(john))=>(?[X]:((happy(X)<~>old(X)))))&
(![X]:(kind(X)<=>calm(X)))&
(((~humble(alice)<~>wise(alice)))=>((funny(lucy)|~rich(lucy))))&
(![X]:(funny(X)<=>(~happy(X)<~>kind(X))))&
(![X]:((~old(X)|old(X))=>(patient(X)<~>happy(X))))&
(![X]:((~humble(X)|~strong(X))<=>(quiet(X)|old(X))))&
((?[X]:((funny(X)|quiet(X))))=... | humble(lucy) | [
"p1",
"p3",
"p4",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7914535998631461173524039
% SZS output start Proof for 7914535998631461173524039
2. ! [X0] : (kind(X0) <=> calm(X0)) [input p1]
4. ! [X0] : (funny(X0) <=> (~happy(X0) <~> kind(X0))) [input p3]
5. ! [X0] : ((old(X0) | ~old(X0)) => (patient(X0) <~> happy(X0))) [input p4]
16. ! [X0] : ((kind... | 0 |
Everyone who is both calm and patient is funny or wise.
If susan is tall or not quiet then john is both not rich and not curious and vice versa.
Everyone who is both not wise and wise is not patient and vice versa.
Everyone who is either not creative or old is both wise and not strong.
If susan is rich or kind then som... | John is creative. | entailment | (![X]:((calm(X)&patient(X))=>(funny(X)|wise(X))))&
(((tall(susan)|~quiet(susan)))<=>((~rich(john)&~curious(john))))&
(![X]:((~wise(X)&wise(X))<=>~patient(X)))&
(![X]:((~creative(X)<~>old(X))=>(wise(X)&~strong(X))))&
(((rich(susan)|kind(susan)))=>(?[X]:((~calm(X)|rich(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((~calm(X)<~>~... | creative(john) | [
"p1",
"p2",
"p7",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 24762629262159282531995
% SZS output start Proof for 24762629262159282531995
2. (~quiet(susan) | tall(susan)) <=> (~curious(john) & ~rich(john)) [input p1]
3. ! [X0] : ((wise(X0) & ~wise(X0)) <=> ~patient(X0)) [input p2]
8. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> (patient(X0) | tall(X0)))... | 0 |
If someone is generous then someone is not strong or not rich.
Everyone who is both wise and not strong is funny or not calm and vice versa.
If someone is calm then fred is either rich or not patient.
Everyone who is happy is calm or brave.
If someone is either humble or funny then mary is either not patient or not old... | Susan is patient. | contradiction | ((?[X]:(generous(X)))=>(?[X]:((~strong(X)|~rich(X)))))&
(![X]:((wise(X)&~strong(X))<=>(funny(X)|~calm(X))))&
((?[X]:(calm(X)))=>((rich(fred)<~>~patient(fred))))&
(![X]:(happy(X)=>(calm(X)|brave(X))))&
((?[X]:((humble(X)<~>funny(X))))=>((~patient(mary)<~>~old(mary))))&
(![X]:((happy(X)<~>~calm(X))=>(~generous(X)<~>calm(... | patient(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4416400997164498227624879
% SZS output start Proof for 4416400997164498227624879
15. ! [X0] : (~creative(X0) <=> (creative(X0) | ~patient(X0))) [input p14]
25. patient(susan) [input hypothesis]
76. ! [X0] : ((~creative(X0) | (~creative(X0) & patient(X0))) & ((creative(X0) | ~patient(X0)) ... | 0 |
If someone is not quiet or not rich then fred is both not humble and wise and vice versa.
Everyone who is either calm or not tall is either brave or patient.
Everyone who is both tall and not patient is both calm and not wise.
If alice is not strong then someone is tall.
Everyone who is either patient or creative is no... | Alice is tall. | neutral | ((?[X]:((~quiet(X)|~rich(X))))<=>((~humble(fred)&wise(fred))))&
(![X]:((calm(X)<~>~tall(X))=>(brave(X)<~>patient(X))))&
(![X]:((tall(X)&~patient(X))=>(calm(X)&~wise(X))))&
((~strong(alice))=>(?[X]:(tall(X))))&
(![X]:((patient(X)<~>creative(X))=>~curious(X)))&
(![X]:((quiet(X)|wise(X))<=>~patient(X)))&
(![X]:((humble(X)... | tall(alice) | [] | null | 0 |
If someone is not funny or kind then fred is either not generous or happy. If someone is both brave and not old then someone is calm and vice versa. Everyone who is calm is not kind and vice versa. If someone is not generous or not creative then fred is not wise and vice versa. Everyone who is kind or not quiet is eith... | Fred is curious. | neutral | ((?[X]:((~funny(X)|kind(X))))=>((~generous(fred)<~>happy(fred))))&
((?[X]:((brave(X)&~old(X))))<=>(?[X]:(calm(X))))&
(![X]:(calm(X)<=>~kind(X)))&
((?[X]:((~generous(X)|~creative(X))))<=>(~wise(fred)))&
(![X]:((kind(X)|~quiet(X))=>(tall(X)<~>~brave(X))))&
(![X]:((brave(X)|kind(X))<=>(~patient(X)|old(X))))&
((?[X]:((~str... | curious(fred) | [] | null | 0 |
If paul is either not creative or not wise then mary is not happy or not tall. Everyone who is patient or happy is either brave or not calm. Everyone who is old is either not quiet or calm and vice versa. Everyone who is either not creative or generous is funny or generous and vice versa. Everyone who is either not hum... | Mary is not rich. | contradiction | (((~creative(paul)<~>~wise(paul)))=>((~happy(mary)|~tall(mary))))&
(![X]:((patient(X)|happy(X))=>(brave(X)<~>~calm(X))))&
(![X]:(old(X)<=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(funny(X)|generous(X))))&
(![X]:((~humble(X)<~>~old(X))<=>(humble(X)&~humble(X))))&
(![X]:((generous(X)&~generous(X))<=... | ~rich(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3941434516824785651250453
% SZS output start Proof for 3941434516824785651250453
15. rich(mary) <=> ? [X0] : (curious(X0) | ~curious(X0)) [input p14]
24. ~rich(mary) [input hypothesis]
66. (rich(mary) | ! [X0] : (~curious(X0) & curious(X0))) & (? [X0] : (curious(X0) | ~curious(X0)) | ~ric... | 0 |
Everyone who is not kind is not wise and vice versa. Everyone who is humble is not old or tall. If john is brave or not generous then susan is old or funny and vice versa. Everyone who is either not patient or rich is not happy or quiet. Everyone who is either kind or not kind is both curious and quiet. If john is eith... | Alice is brave. | entailment | (![X]:(~kind(X)<=>~wise(X)))&
(![X]:(humble(X)=>(~old(X)|tall(X))))&
(((brave(john)|~generous(john)))<=>((old(susan)|funny(susan))))&
(![X]:((~patient(X)<~>rich(X))=>(~happy(X)|quiet(X))))&
(![X]:((kind(X)<~>~kind(X))=>(curious(X)&quiet(X))))&
(((generous(john)<~>~tall(john)))=>(?[X]:(~strong(X))))&
((?[X]:((kind(X)|br... | brave(alice) | [
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2867161060837505047247202
% SZS output start Proof for 2867161060837505047247202
5. ! [X0] : ((kind(X0) <~> ~kind(X0)) => (quiet(X0) & curious(X0))) [input p4]
14. ! [X0] : ((old(X0) & ~calm(X0)) <=> (~brave(X0) <~> old(X0))) [input p13]
15. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (calm... | 0 |
Everyone who is both not generous and tall is humble.
Everyone who is rich or tall is not patient.
Everyone who is either creative or kind is happy.
If someone is rich then fred is either tall or not brave and vice versa.
If someone is patient or happy then john is either curious or creative.
If someone is both not tal... | Lucy is not curious. | contradiction | (![X]:((~generous(X)&tall(X))=>humble(X)))&
(![X]:((rich(X)|tall(X))=>~patient(X)))&
(![X]:((creative(X)<~>kind(X))=>happy(X)))&
((?[X]:(rich(X)))<=>((tall(fred)<~>~brave(fred))))&
((?[X]:((patient(X)|happy(X))))=>((curious(john)<~>creative(john))))&
((?[X]:((~tall(X)&~happy(X))))=>((quiet(lucy)&~generous(lucy))))&
((?... | ~curious(lucy) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3072711245811465687249494
% SZS output start Proof for 3072711245811465687249494
14. curious(lucy) <=> (~calm(lucy) | funny(lucy)) [input p13]
15. ? [X0] : (~tall(X0) & tall(X0)) <=> ? [X0] : (~calm(X0) <~> ~curious(X0)) [input p14]
25. ~curious(lucy) [input hypothesis]
27. ? [X0] : (~tal... | 0 |
Everyone who is kind or generous is not funny or not kind.
Everyone who is patient or brave is quiet or curious.
Everyone who is not curious is generous or not generous and vice versa.
If lucy is either not tall or not patient then someone is not humble and vice versa.
Everyone who is both not patient and not happy is ... | Paul is funny. | contradiction | (![X]:((kind(X)|generous(X))=>(~funny(X)|~kind(X))))&
(![X]:((patient(X)|brave(X))=>(quiet(X)|curious(X))))&
(![X]:(~curious(X)<=>(generous(X)|~generous(X))))&
(((~tall(lucy)<~>~patient(lucy)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)&~happy(X))<=>~creative(X)))&
(![X]:((~creative(X)&tall(X))=>(wise(X)&happy(X))))&
... | funny(paul) | [
"p4",
"p5",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3562674673918360751578499
% SZS output start Proof for 3562674673918360751578499
5. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~creative(X0)) [input p4]
6. ! [X0] : ((tall(X0) & ~creative(X0)) => (happy(X0) & wise(X0))) [input p5]
11. ! [X0] : ((~creative(X0) | kind(X0)) => (~tall(X0) & ta... | 0 |
Everyone who is both happy and brave is both not generous and funny and vice versa. If susan is either creative or not humble then paul is not patient and vice versa. Everyone who is either wise or patient is either not generous or not humble. If susan is generous then susan is happy and vice versa. If someone is both ... | Paul is generous. | contradiction | (![X]:((happy(X)&brave(X))<=>(~generous(X)&funny(X))))&
(((creative(susan)<~>~humble(susan)))<=>(~patient(paul)))&
(![X]:((wise(X)<~>patient(X))=>(~generous(X)<~>~humble(X))))&
((generous(susan))<=>(happy(susan)))&
((?[X]:((kind(X)&~humble(X))))=>((~funny(fred)<~>creative(fred))))&
(![X]:((curious(X)|wise(X))=>~curious... | generous(paul) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7127161515742368669271752
% SZS output start Proof for 7127161515742368669271752
1. ! [X0] : ((brave(X0) & happy(X0)) <=> (funny(X0) & ~generous(X0))) [input p0]
2. (creative(susan) <~> ~humble(susan)) <=> ~patient(paul) [input p1]
3. ! [X0] : ((wise(X0) <~> patient(X0)) => (~generous(X0)... | 0 |
Everyone who is both not creative and brave is both not humble and not brave and vice versa.
Everyone who is not curious is either kind or not generous and vice versa.
Everyone who is either rich or kind is either creative or calm.
If someone is strong or brave then john is quiet and vice versa.
Everyone who is both no... | John is not quiet. | contradiction | (![X]:((~creative(X)&brave(X))<=>(~humble(X)&~brave(X))))&
(![X]:(~curious(X)<=>(kind(X)<~>~generous(X))))&
(![X]:((rich(X)<~>kind(X))=>(creative(X)<~>calm(X))))&
((?[X]:((strong(X)|brave(X))))<=>(quiet(john)))&
(![X]:((~kind(X)&kind(X))<=>(~strong(X)<~>generous(X))))&
((?[X]:((happy(X)&~creative(X))))=>(?[X]:((tall(X)... | ~quiet(john) | [
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2099113461453073324567839
% SZS output start Proof for 2099113461453073324567839
4. ? [X0] : (brave(X0) | strong(X0)) <=> quiet(john) [input p3]
8. ! [X0] : ((strong(X0) <~> curious(X0)) <=> (~happy(X0) | ~curious(X0))) [input p7]
10. ! [X0] : ((~quiet(X0) | ~wise(X0)) => ~curious(X0)) [i... | 0 |
Everyone who is both not brave and not calm is either not quiet or not rich and vice versa. Everyone who is either not happy or quiet is not old. Everyone who is both rich and patient is either kind or patient and vice versa. If someone is curious or creative then someone is either humble or patient. Everyone who is ei... | Fred is not quiet. | contradiction | (![X]:((~brave(X)&~calm(X))<=>(~quiet(X)<~>~rich(X))))&
(![X]:((~happy(X)<~>quiet(X))=>~old(X)))&
(![X]:((rich(X)&patient(X))<=>(kind(X)<~>patient(X))))&
((?[X]:((curious(X)|creative(X))))=>(?[X]:((humble(X)<~>patient(X)))))&
(![X]:((~creative(X)<~>~patient(X))=>(patient(X)|funny(X))))&
((?[X]:(~old(X)))<=>(?[X]:(patie... | ~quiet(fred) | [
"p0",
"p9",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8251836639628406610965220
% SZS output start Proof for 8251836639628406610965220
1. ! [X0] : ((~calm(X0) & ~brave(X0)) <=> (~quiet(X0) <~> ~rich(X0))) [input p0]
10. ! [X0] : ((~calm(X0) <~> happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p9]
14. ! [X0] : ((quiet(X0) & ~kind(X0)) <=> ~ha... | 0 |
Everyone who is not wise is not funny and vice versa. Everyone who is generous is tall and vice versa. If fred is not brave then someone is either creative or not happy and vice versa. If paul is both not strong and not old then someone is not tall or not brave and vice versa. Everyone who is not rich is strong and vic... | Lucy is not curious. | entailment | (![X]:(~wise(X)<=>~funny(X)))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
((?[X]:((calm(X)|happy(X))))=>((~wise... | ~curious(lucy) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2829570994702338923530652
% SZS output start Proof for 2829570994702338923530652
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
11. ? [X0] : ~happy(X0) =... | 0 |
If lucy is both happy and not calm then john is kind.
If someone is both not kind and not rich then someone is creative or happy and vice versa.
Everyone who is both humble and not humble is either not generous or calm.
If paul is both not wise and kind then someone is creative or tall and vice versa.
If someone is bot... | John is not creative. | entailment | (((happy(lucy)&~calm(lucy)))=>(kind(john)))&
((?[X]:((~kind(X)&~rich(X))))<=>(?[X]:((creative(X)|happy(X)))))&
(![X]:((humble(X)&~humble(X))=>(~generous(X)<~>calm(X))))&
(((~wise(paul)&kind(paul)))<=>(?[X]:((creative(X)|tall(X)))))&
((?[X]:((~humble(X)&~old(X))))=>((~funny(lucy)<~>~quiet(lucy))))&
((?[X]:((~generous(X)... | ~creative(john) | [
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7285371076101855905621543
% SZS output start Proof for 7285371076101855905621543
16. ! [X0] : ((kind(X0) & curious(X0)) <=> ~curious(X0)) [input p15]
17. curious(john) <~> creative(john) [input p16]
23. creative(john) [input hypothesis]
69. ! [X0] : (((kind(X0) & curious(X0)) | curious(X0... | 0 |
Everyone who is not humble or not happy is either creative or not creative. Everyone who is either not tall or brave is either humble or not calm. Everyone who is either funny or not kind is humble or not kind and vice versa. If john is either not rich or brave then susan is both happy and creative and vice versa. Ever... | Alice is not generous. | neutral | (![X]:((~humble(X)|~happy(X))=>(creative(X)<~>~creative(X))))&
(![X]:((~tall(X)<~>brave(X))=>(humble(X)<~>~calm(X))))&
(![X]:((funny(X)<~>~kind(X))<=>(humble(X)|~kind(X))))&
(((~rich(john)<~>brave(john)))<=>((happy(susan)&creative(susan))))&
(![X]:((~funny(X)<~>creative(X))<=>(~creative(X)&quiet(X))))&
(![X]:(~happy(X)... | ~generous(alice) | [] | null | 0 |
Everyone who is both strong and creative is either brave or old and vice versa.
If lucy is not brave then someone is curious.
If someone is patient or humble then someone is both strong and not kind and vice versa.
Everyone who is not strong or tall is generous or not generous and vice versa.
If john is both funny and ... | John is old. | contradiction | (![X]:((strong(X)&creative(X))<=>(brave(X)<~>old(X))))&
((~brave(lucy))=>(?[X]:(curious(X))))&
((?[X]:((patient(X)|humble(X))))<=>(?[X]:((strong(X)&~kind(X)))))&
(![X]:((~strong(X)|tall(X))<=>(generous(X)|~generous(X))))&
(((funny(john)&~brave(john)))=>((~curious(mary)&happy(mary))))&
((?[X]:((funny(X)&~wise(X))))<=>(?... | old(john) | [
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4080285407989381192598230
% SZS output start Proof for 4080285407989381192598230
8. ! [X0] : ((~happy(X0) | ~wise(X0)) <=> ~old(X0)) [input p7]
18. ~wise(john) & calm(john) [input p17]
24. old(john) [input hypothesis]
54. ! [X0] : (((~happy(X0) | ~wise(X0)) | old(X0)) & (~old(X0) | (happy... | 0 |
If someone is not creative or not brave then someone is both kind and not kind and vice versa.
Everyone who is either old or brave is rich or not brave and vice versa.
Everyone who is strong or not tall is both creative and not brave.
Everyone who is calm or quiet is either generous or not curious and vice versa.
If lu... | Mary is not rich. | contradiction | ((?[X]:((~creative(X)|~brave(X))))<=>(?[X]:((kind(X)&~kind(X)))))&
(![X]:((old(X)<~>brave(X))<=>(rich(X)|~brave(X))))&
(![X]:((strong(X)|~tall(X))=>(creative(X)&~brave(X))))&
(![X]:((calm(X)|quiet(X))<=>(generous(X)<~>~curious(X))))&
(((~strong(lucy)|generous(lucy)))<=>(~wise(alice)))&
(![X]:((wise(X)|patient(X))<=>(~g... | ~rich(mary) | [
"p0",
"p1",
"p2",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4984295966969278429128685
% SZS output start Proof for 4984295966969278429128685
1. ? [X0] : (~brave(X0) | ~creative(X0)) <=> ? [X0] : (~kind(X0) & kind(X0)) [input p0]
2. ! [X0] : ((old(X0) <~> brave(X0)) <=> (~brave(X0) | rich(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | strong(X0)) => (~... | 0 |
Everyone who is not creative or not kind is creative. Everyone who is both quiet and tall is both not quiet and creative. Everyone who is patient or not patient is rich and vice versa. Everyone who is humble is both funny and not funny and vice versa. Everyone who is generous is kind or not brave. Everyone who is both ... | John is not humble. | entailment | (![X]:((~creative(X)|~kind(X))=>creative(X)))&
(![X]:((quiet(X)&tall(X))=>(~quiet(X)&creative(X))))&
(![X]:((patient(X)|~patient(X))<=>rich(X)))&
(![X]:(humble(X)<=>(funny(X)&~funny(X))))&
(![X]:(generous(X)=>(kind(X)|~brave(X))))&
(![X]:((wise(X)&~rich(X))<=>(~calm(X)|~generous(X))))&
((generous(susan))<=>(?[X]:((tall... | ~humble(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7385252002926629635334483
% SZS output start Proof for 7385252002926629635334483
4. ! [X0] : (humble(X0) <=> (~funny(X0) & funny(X0))) [input p3]
24. humble(john) [input hypothesis]
37. ! [X0] : ((humble(X0) | (funny(X0) | ~funny(X0))) & ((~funny(X0) & funny(X0)) | ~humble(X0))) [nnf tran... | 0 |
Everyone who is not creative is both strong and not humble and vice versa.
Everyone who is either creative or brave is not happy or not wise.
If someone is not rich or not quiet then someone is both creative and not creative.
If john is either happy or funny then someone is both not old and rich.
Everyone who is either... | John is not generous. | entailment | (![X]:(~creative(X)<=>(strong(X)&~humble(X))))&
(![X]:((creative(X)<~>brave(X))=>(~happy(X)|~wise(X))))&
((?[X]:((~rich(X)|~quiet(X))))=>(?[X]:((creative(X)&~creative(X)))))&
(((happy(john)<~>funny(john)))=>(?[X]:((~old(X)&rich(X)))))&
(![X]:((kind(X)<~>~tall(X))<=>(strong(X)|~generous(X))))&
((?[X]:((~generous(X)<~>~c... | ~generous(john) | [
"p0",
"p2",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3115965200343923476904223
% SZS output start Proof for 3115965200343923476904223
1. ! [X0] : (~creative(X0) <=> (~humble(X0) & strong(X0))) [input p0]
3. ? [X0] : (~quiet(X0) | ~rich(X0)) => ? [X0] : (~creative(X0) & creative(X0)) [input p2]
10. ! [X0] : ((~curious(X0) | tall(X0)) <=> (ta... | 0 |
Everyone who is not quiet or creative is not curious.
If alice is either tall or strong then someone is not rich or kind.
Everyone who is both tall and not calm is either creative or humble.
If someone is both not happy and not humble then someone is not kind.
If someone is quiet or strong then alice is either not funn... | Alice is wise. | entailment | (![X]:((~quiet(X)|creative(X))=>~curious(X)))&
(((tall(alice)<~>strong(alice)))=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:((tall(X)&~calm(X))=>(creative(X)<~>humble(X))))&
((?[X]:((~happy(X)&~humble(X))))=>(?[X]:(~kind(X))))&
((?[X]:((quiet(X)|strong(X))))=>((~funny(alice)<~>~wise(alice))))&
(![X]:((~humble(X)<~>quiet(X))<=... | wise(alice) | [
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 77597907693335858108130
% SZS output start Proof for 77597907693335858108130
8. ! [X0] : ((quiet(X0) & ~rich(X0)) <=> ~wise(X0)) [input p7]
14. ? [X0] : (~wise(X0) <~> rich(X0)) => wise(alice) [input p13]
25. ~wise(alice) [input hypothesis]
41. wise(alice) | ! [X0] : (~wise(X0) <=> rich(X... | 0 |
If someone is not patient then someone is either not kind or creative and vice versa.
Everyone who is not funny or quiet is both not tall and not creative and vice versa.
Everyone who is not quiet is generous or happy and vice versa.
Everyone who is either not wise or not happy is not rich or not tall and vice versa.
I... | Susan is tall. | contradiction | ((?[X]:(~patient(X)))<=>(?[X]:((~kind(X)<~>creative(X)))))&
(![X]:((~funny(X)|quiet(X))<=>(~tall(X)&~creative(X))))&
(![X]:(~quiet(X)<=>(generous(X)|happy(X))))&
(![X]:((~wise(X)<~>~happy(X))<=>(~rich(X)|~tall(X))))&
(((creative(alice)|~kind(alice)))<=>((~generous(paul)&~tall(paul))))&
(![X]:((humble(X)<~>brave(X))=>(p... | tall(susan) | [
"p1",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 534278590145297906623305
% SZS output start Proof for 534278590145297906623305
2. ! [X0] : ((quiet(X0) | ~funny(X0)) <=> (~creative(X0) & ~tall(X0))) [input p1]
10. ? [X0] : (~curious(X0) & funny(X0)) => (~brave(susan) & quiet(susan)) [input p9]
12. ! [X0] : ((curious(X0) <~> funny(X0)) <... | 0 |
If someone is calm then someone is both not creative and not old. Everyone who is both curious and generous is both rich and strong and vice versa. If someone is curious then someone is old or kind. Everyone who is both happy and creative is not curious. If susan is quiet then someone is both not patient and kind and v... | Susan is calm. | contradiction | ((?[X]:(calm(X)))=>(?[X]:((~creative(X)&~old(X)))))&
(![X]:((curious(X)&generous(X))<=>(rich(X)&strong(X))))&
((?[X]:(curious(X)))=>(?[X]:((old(X)|kind(X)))))&
(![X]:((happy(X)&creative(X))=>~curious(X)))&
((quiet(susan))<=>(?[X]:((~patient(X)&kind(X)))))&
(![X]:((tall(X)|~humble(X))<=>(strong(X)|~creative(X))))&
(![X]... | calm(susan) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3632372604954333965750659
% SZS output start Proof for 3632372604954333965750659
6. ! [X0] : ((~humble(X0) | tall(X0)) <=> (~creative(X0) | strong(X0))) [input p5]
7. ! [X0] : ((calm(X0) | ~tall(X0)) <=> (~strong(X0) <~> ~tall(X0))) [input p6]
13. ! [X0] : ((tall(X0) | ~tall(X0)) <=> (hum... | 0 |
Everyone who is rich is both creative and old and vice versa.
If someone is both happy and not funny then someone is not creative and vice versa.
Everyone who is either not quiet or calm is not creative.
Everyone who is quiet is both curious and not generous.
Everyone who is strong or rich is old or not calm.
Everyone ... | Susan is not kind. | neutral | (![X]:(rich(X)<=>(creative(X)&old(X))))&
((?[X]:((happy(X)&~funny(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~quiet(X)<~>calm(X))=>~creative(X)))&
(![X]:(quiet(X)=>(curious(X)&~generous(X))))&
(![X]:((strong(X)|rich(X))=>(old(X)|~calm(X))))&
(![X]:((rich(X)|tall(X))=>generous(X)))&
(((~wise(mary)&funny(mary)))<=>(~humble(... | ~kind(susan) | [] | null | 0 |
If someone is kind or not rich then lucy is funny or not wise.
If someone is funny or not funny then someone is not tall or not brave.
Everyone who is not tall or generous is both not humble and kind and vice versa.
Everyone who is either happy or tall is not generous.
Everyone who is either not creative or creative is... | Paul is not brave. | neutral | ((?[X]:((kind(X)|~rich(X))))=>((funny(lucy)|~wise(lucy))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~tall(X)|generous(X))<=>(~humble(X)&kind(X))))&
(![X]:((happy(X)<~>tall(X))=>~generous(X)))&
(![X]:((~creative(X)<~>creative(X))=>(kind(X)<~>wise(X))))&
(((~kind(fred)<~>~patient(fred)))=>... | ~brave(paul) | [] | null | 0 |
Everyone who is either not humble or creative is old or not generous.
Everyone who is either patient or humble is not humble.
Everyone who is patient or curious is not brave.
Everyone who is not quiet or not happy is either not brave or not kind and vice versa.
If alice is brave then alice is not generous or not creati... | Paul is generous. | neutral | (![X]:((~humble(X)<~>creative(X))=>(old(X)|~generous(X))))&
(![X]:((patient(X)<~>humble(X))=>~humble(X)))&
(![X]:((patient(X)|curious(X))=>~brave(X)))&
(![X]:((~quiet(X)|~happy(X))<=>(~brave(X)<~>~kind(X))))&
((brave(alice))<=>((~generous(alice)|~creative(alice))))&
((?[X]:((~calm(X)<~>~strong(X))))<=>(curious(paul)))&... | generous(paul) | [] | null | 0 |
Everyone who is calm is both not kind and not humble.
Everyone who is both not generous and brave is not wise.
If fred is not patient then alice is either creative or curious and vice versa.
If someone is either not patient or not humble then mary is both not quiet and quiet and vice versa.
Everyone who is not calm or ... | Lucy is not creative. | neutral | (![X]:(calm(X)=>(~kind(X)&~humble(X))))&
(![X]:((~generous(X)&brave(X))=>~wise(X)))&
((~patient(fred))<=>((creative(alice)<~>curious(alice))))&
((?[X]:((~patient(X)<~>~humble(X))))<=>((~quiet(mary)&quiet(mary))))&
(![X]:((~calm(X)|~rich(X))=>(wise(X)<~>~patient(X))))&
(![X]:((wise(X)|calm(X))<=>(~curious(X)|tall(X))))&... | ~creative(lucy) | [] | null | 0 |
If alice is not wise or not funny then fred is both not quiet and happy and vice versa.
If someone is happy or not curious then lucy is either tall or not generous.
If susan is both not wise and not generous then someone is either generous or not humble.
Everyone who is both creative and wise is not generous and vice v... | Fred is rich. | neutral | (((~wise(alice)|~funny(alice)))<=>((~quiet(fred)&happy(fred))))&
((?[X]:((happy(X)|~curious(X))))=>((tall(lucy)<~>~generous(lucy))))&
(((~wise(susan)&~generous(susan)))=>(?[X]:((generous(X)<~>~humble(X)))))&
(![X]:((creative(X)&wise(X))<=>~generous(X)))&
((?[X]:(funny(X)))<=>(?[X]:((~kind(X)|~generous(X)))))&
((?[X]:((... | rich(fred) | [] | null | 0 |
Everyone who is not creative or funny is not funny and vice versa.
Everyone who is not old or not curious is not rich or happy.
Everyone who is either wise or quiet is either not creative or not humble.
Everyone who is not tall is not patient or rich.
Everyone who is generous is either not curious or not tall and vice ... | John is not brave. | neutral | (![X]:((~creative(X)|funny(X))<=>~funny(X)))&
(![X]:((~old(X)|~curious(X))=>(~rich(X)|happy(X))))&
(![X]:((wise(X)<~>quiet(X))=>(~creative(X)<~>~humble(X))))&
(![X]:(~tall(X)=>(~patient(X)|rich(X))))&
(![X]:(generous(X)<=>(~curious(X)<~>~tall(X))))&
(![X]:(strong(X)<=>patient(X)))&
(((~old(mary)&~quiet(mary)))=>(?[X]:(... | ~brave(john) | [] | null | 0 |
If alice is humble then susan is not wise or curious and vice versa. Everyone who is either not funny or not rich is generous or not old. If susan is curious or old then susan is creative. Everyone who is both tall and not tall is not kind or creative and vice versa. If someone is kind then someone is both wise and cal... | Susan is not happy. | neutral | ((humble(alice))<=>((~wise(susan)|curious(susan))))&
(![X]:((~funny(X)<~>~rich(X))=>(generous(X)|~old(X))))&
(((curious(susan)|old(susan)))=>(creative(susan)))&
(![X]:((tall(X)&~tall(X))<=>(~kind(X)|creative(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)&calm(X)))))&
(![X]:(~old(X)<=>(~brave(X)|~old(X))))&
(((~kind(alice)&... | ~happy(susan) | [] | null | 0 |
Everyone who is either not creative or patient is not old.
Everyone who is not tall is both not humble and humble and vice versa.
Everyone who is both not brave and brave is humble or not curious.
If susan is both not creative and not old then someone is not quiet or not tall.
Everyone who is both not rich and funny is... | Lucy is tall. | entailment | (![X]:((~creative(X)<~>patient(X))=>~old(X)))&
(![X]:(~tall(X)<=>(~humble(X)&humble(X))))&
(![X]:((~brave(X)&brave(X))=>(humble(X)|~curious(X))))&
(((~creative(susan)&~old(susan)))=>(?[X]:((~quiet(X)|~tall(X)))))&
(![X]:((~rich(X)&funny(X))<=>(old(X)|~humble(X))))&
((?[X]:(~generous(X)))=>(strong(paul)))&
((?[X]:((wise... | tall(lucy) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6495359207477369488515277
% SZS output start Proof for 6495359207477369488515277
2. ! [X0] : (~tall(X0) <=> (humble(X0) & ~humble(X0))) [input p1]
25. ~tall(lucy) [input hypothesis]
40. ! [X0] : ((~tall(X0) | (~humble(X0) | humble(X0))) & ((humble(X0) & ~humble(X0)) | tall(X0))) [nnf tran... | 0 |
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