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 alice is either tall or strong then someone is either happy or patient. If lucy is not generous then someone is either not kind or kind and vice versa. Everyone who is generous is both not wise and not calm and vice versa. If someone is not strong then someone is either not strong or wise and vice versa. Everyone wh... | John is not happy. | neutral | (((tall(alice)<~>strong(alice)))=>(?[X]:((happy(X)<~>patient(X)))))&
((~generous(lucy))<=>(?[X]:((~kind(X)<~>kind(X)))))&
(![X]:(generous(X)<=>(~wise(X)&~calm(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~strong(X)<~>wise(X)))))&
(![X]:((~wise(X)<~>~rich(X))<=>(~quiet(X)<~>curious(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~humble(X)... | ~happy(john) | [] | null | 0 |
If susan is old or patient then someone is both not old and kind and vice versa. Everyone who is both old and generous is either not brave or not quiet and vice versa. Everyone who is patient is both funny and not old. If susan is either not strong or not wise then fred is calm. Everyone who is either not generous or w... | Susan is not brave. | entailment | (((old(susan)|patient(susan)))<=>(?[X]:((~old(X)&kind(X)))))&
(![X]:((old(X)&generous(X))<=>(~brave(X)<~>~quiet(X))))&
(![X]:(patient(X)=>(funny(X)&~old(X))))&
(((~strong(susan)<~>~wise(susan)))=>(calm(fred)))&
(![X]:((~generous(X)<~>wise(X))=>(strong(X)&~humble(X))))&
(![X]:(calm(X)<=>curious(X)))&
(![X]:((happy(X)|~k... | ~brave(susan) | [
"p0",
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4984693972068213462868434
% SZS output start Proof for 4984693972068213462868434
1. (patient(susan) | old(susan)) <=> ? [X0] : (kind(X0) & ~old(X0)) [input p0]
3. ! [X0] : (patient(X0) => (~old(X0) & funny(X0))) [input p2]
7. ! [X0] : ((~kind(X0) | happy(X0)) <=> (~happy(X0) | ~old(X0))) ... | 0 |
Everyone who is not brave is either not strong or rich and vice versa.
If someone is either happy or generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and n... | Lucy is rich. | entailment | (![X]:(~brave(X)<=>(~strong(X)<~>rich(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((gen... | rich(lucy) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3319124944962537547719445
% SZS output start Proof for 3319124944962537547719445
1. ! [X0] : (~brave(X0) <=> (~strong(X0) <~> rich(X0))) [input p0]
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
4. ! [X0] : ((~happy(X0) | ~quiet(X0)) => (~funny(X0) & creative(X0))) [input p3]
6. ! [X0... | 0 |
Everyone who is both humble and brave is either not tall or wise and vice versa. Everyone who is either brave or not happy is happy or old and vice versa. Everyone who is not tall or not kind is funny. If someone is both not calm and kind then someone is both not creative and strong. Everyone who is not rich or not kin... | Fred is not generous. | entailment | (![X]:((humble(X)&brave(X))<=>(~tall(X)<~>wise(X))))&
(![X]:((brave(X)<~>~happy(X))<=>(happy(X)|old(X))))&
(![X]:((~tall(X)|~kind(X))=>funny(X)))&
((?[X]:((~calm(X)&kind(X))))=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:((~rich(X)|~kind(X))=>(~strong(X)&~old(X))))&
(![X]:(~brave(X)=>(~old(X)<~>~humble(X))))&
(![X]:((gen... | ~generous(fred) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3972508762219349162151282
% SZS output start Proof for 3972508762219349162151282
2. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> (old(X0) | happy(X0))) [input p1]
5. ! [X0] : ((~kind(X0) | ~rich(X0)) => (~old(X0) & ~strong(X0))) [input p4]
6. ! [X0] : (~brave(X0) => (~old(X0) <~> ~humble(X0))... | 0 |
Everyone who is tall is both brave and creative and vice versa.
Everyone who is not humble is not calm and vice versa.
If someone is both quiet and not calm then alice is funny or not tall and vice versa.
If mary is not kind or not rich then someone is both not patient and old.
If fred is not brave or curious then some... | Susan is tall. | neutral | (![X]:(tall(X)<=>(brave(X)&creative(X))))&
(![X]:(~humble(X)<=>~calm(X)))&
((?[X]:((quiet(X)&~calm(X))))<=>((funny(alice)|~tall(alice))))&
(((~kind(mary)|~rich(mary)))=>(?[X]:((~patient(X)&old(X)))))&
(((~brave(fred)|curious(fred)))<=>(?[X]:((~brave(X)<~>wise(X)))))&
(![X]:((~wise(X)&~patient(X))=>(~quiet(X)<~>~humble(... | tall(susan) | [] | null | 0 |
If someone is both not rich and kind then someone is either calm or not funny.
Everyone who is either happy or not quiet is not curious and vice versa.
Everyone who is both curious and not tall is both quiet and not old.
If alice is calm or tall then someone is not humble or not generous and vice versa.
Everyone who is... | John is not happy. | neutral | ((?[X]:((~rich(X)&kind(X))))=>(?[X]:((calm(X)<~>~funny(X)))))&
(![X]:((happy(X)<~>~quiet(X))<=>~curious(X)))&
(![X]:((curious(X)&~tall(X))=>(quiet(X)&~old(X))))&
(((calm(alice)|tall(alice)))<=>(?[X]:((~humble(X)|~generous(X)))))&
(![X]:((~curious(X)<~>~brave(X))<=>~tall(X)))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:((hu... | ~happy(john) | [] | null | 0 |
Everyone who is both happy and quiet is both calm and happy and vice versa.
Everyone who is brave or quiet is both patient and strong and vice versa.
If someone is not brave or funny then someone is humble or not generous and vice versa.
Everyone who is both humble and not calm is either old or not strong.
If john is b... | John is not quiet. | neutral | (![X]:((happy(X)&quiet(X))<=>(calm(X)&happy(X))))&
(![X]:((brave(X)|quiet(X))<=>(patient(X)&strong(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:((humble(X)&~calm(X))=>(old(X)<~>~strong(X))))&
(((~humble(john)&~quiet(john)))<=>((~curious(lucy)<~>~wise(lucy))))&
(![X]:((~humble(X)&~st... | ~quiet(john) | [] | null | 0 |
Everyone who is either not patient or patient is both wise and not generous.
Everyone who is patient or not humble is creative.
Everyone who is not calm is either generous or not calm.
If someone is tall then lucy is not kind or patient.
Everyone who is both not strong and not creative is not kind.
Everyone who is not ... | Lucy is wise. | entailment | (![X]:((~patient(X)<~>patient(X))=>(wise(X)&~generous(X))))&
(![X]:((patient(X)|~humble(X))=>creative(X)))&
(![X]:(~calm(X)=>(generous(X)<~>~calm(X))))&
((?[X]:(tall(X)))=>((~kind(lucy)|patient(lucy))))&
(![X]:((~strong(X)&~creative(X))=>~kind(X)))&
(![X]:(~calm(X)=>(~patient(X)<~>creative(X))))&
(![X]:((~kind(X)<~>ric... | wise(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 3015268917546247107126701
% SZS output start Proof for 3015268917546247107126701
1. ! [X0] : ((~patient(X0) <~> patient(X0)) => (~generous(X0) & wise(X0))) [input p0]
23. ~wise(lucy) [input hypothesis]
25. ! [X0] : ((~generous(X0) & wise(X0)) | (~patient(X0) <=> patient(X0))) [ennf transf... | 0 |
Everyone who is both happy and not creative is not quiet or kind and vice versa.
Everyone who is both not tall and not humble is happy or quiet.
If john is either rich or funny then paul is either humble or happy.
If someone is not kind then someone is not rich or not curious and vice versa.
If john is both not strong ... | John is not kind. | neutral | (![X]:((happy(X)&~creative(X))<=>(~quiet(X)|kind(X))))&
(![X]:((~tall(X)&~humble(X))=>(happy(X)|quiet(X))))&
(((rich(john)<~>funny(john)))=>((humble(paul)<~>happy(paul))))&
((?[X]:(~kind(X)))<=>(?[X]:((~rich(X)|~curious(X)))))&
(((~strong(john)&~patient(john)))<=>((~patient(lucy)<~>~tall(lucy))))&
((?[X]:(wise(X)))=>((... | ~kind(john) | [] | null | 0 |
Everyone who is both not old and generous is both generous and happy and vice versa. Everyone who is not old or not patient is wise. If someone is both brave and wise then someone is both not calm and not brave and vice versa. If lucy is both humble and quiet then someone is both kind and calm and vice versa. Everyone ... | Fred is not calm. | entailment | (![X]:((~old(X)&generous(X))<=>(generous(X)&happy(X))))&
(![X]:((~old(X)|~patient(X))=>wise(X)))&
((?[X]:((brave(X)&wise(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(((humble(lucy)&quiet(lucy)))<=>(?[X]:((kind(X)&calm(X)))))&
(![X]:((~funny(X)|~generous(X))<=>(humble(X)&~calm(X))))&
(![X]:((tall(X)|~humble(X))=>~patient(X)... | ~calm(fred) | [
"p0",
"p4",
"p5",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5768370576967519215334295
% SZS output start Proof for 5768370576967519215334295
1. ! [X0] : ((generous(X0) & ~old(X0)) <=> (happy(X0) & generous(X0))) [input p0]
5. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> (~calm(X0) & humble(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | tall(X0)) => ~p... | 0 |
If someone is either wise or not brave then someone is both rich and not happy and vice versa.
If john is both not quiet and not tall then someone is not humble or rich.
If john is not creative then john is both tall and not curious and vice versa.
Everyone who is both kind and old is both funny and tall.
If alice is n... | Lucy is not strong. | contradiction | ((?[X]:((wise(X)<~>~brave(X))))<=>(?[X]:((rich(X)&~happy(X)))))&
(((~quiet(john)&~tall(john)))=>(?[X]:((~humble(X)|rich(X)))))&
((~creative(john))<=>((tall(john)&~curious(john))))&
(![X]:((kind(X)&old(X))=>(funny(X)&tall(X))))&
(((~humble(alice)|generous(alice)))<=>(?[X]:((curious(X)&creative(X)))))&
(((humble(lucy)&~w... | ~strong(lucy) | [
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8016485808644483948567673
% SZS output start Proof for 8016485808644483948567673
18. ~calm(lucy) <~> ~strong(lucy) [input p17]
24. ~calm(lucy) & funny(lucy) [input p23]
25. ~strong(lucy) [input hypothesis]
68. (strong(lucy) | calm(lucy)) & (~strong(lucy) | ~calm(lucy)) [nnf transformation... | 0 |
If someone is not curious then someone is kind or not rich.
If john is tall or brave then someone is both not quiet and not tall and vice versa.
If john is not humble then someone is both not brave and brave.
If fred is not rich then someone is both brave and not old and vice versa.
If susan is either wise or calm then... | Paul is quiet. | entailment | ((?[X]:(~curious(X)))=>(?[X]:((kind(X)|~rich(X)))))&
(((tall(john)|brave(john)))<=>(?[X]:((~quiet(X)&~tall(X)))))&
((~humble(john))=>(?[X]:((~brave(X)&brave(X)))))&
((~rich(fred))<=>(?[X]:((brave(X)&~old(X)))))&
(((wise(susan)<~>calm(susan)))=>(?[X]:((kind(X)<~>~humble(X)))))&
((?[X]:((~creative(X)<~>~generous(X))))<=>... | quiet(paul) | [
"p8",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8066870855661413688524267
% SZS output start Proof for 8066870855661413688524267
9. (kind(paul) | quiet(paul)) <=> ? [X0] : (wise(X0) <~> ~kind(X0)) [input p8]
15. ! [X0] : (kind(X0) => (~kind(X0) & happy(X0))) [input p14]
20. ~funny(lucy) & ~wise(lucy) [input p19]
24. ~quiet(paul) [input... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is both kind and not brave.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and strong is quiet or patient and vice versa.
Everyone who is either quiet o... | Alice is not creative. | contradiction | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:((kind(X)&~brave(X)))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|patient(X))))&
(![X]:((~tall(X)&funny(X))<=>(~old(X)|cu... | ~creative(alice) | [
"p0",
"p1",
"p3",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1126567851379276958719630
% SZS output start Proof for 1126567851379276958719630
1. ! [X0] : ((~wise(X0) <~> kind(X0)) <=> (calm(X0) & creative(X0))) [input p0]
2. ? [X0] : (calm(X0) & wise(X0)) => ? [X0] : (~brave(X0) & kind(X0)) [input p1]
4. ! [X0] : ((strong(X0) & creative(X0)) <=> (p... | 0 |
If someone is either curious or wise then someone is both not quiet and creative. Everyone who is not generous is not kind and vice versa. Everyone who is both not humble and not old is not curious and vice versa. If someone is both not rich and creative then paul is not rich. Everyone who is both not happy and not str... | Lucy is humble. | contradiction | ((?[X]:((curious(X)<~>wise(X))))=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:(~generous(X)<=>~kind(X)))&
(![X]:((~humble(X)&~old(X))<=>~curious(X)))&
((?[X]:((~rich(X)&creative(X))))=>(~rich(paul)))&
(![X]:((~happy(X)&~strong(X))=>~quiet(X)))&
(((~happy(alice)|wise(alice)))<=>((~brave(alice)&humble(alice))))&
((?[X]:(~ki... | humble(lucy) | [
"p0",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 570590762474961277319541
% SZS output start Proof for 570590762474961277319541
1. ? [X0] : (curious(X0) <~> wise(X0)) => ? [X0] : (creative(X0) & ~quiet(X0)) [input p0]
9. ! [X0] : ((~quiet(X0) | humble(X0)) => (~creative(X0) & wise(X0))) [input p8]
12. ? [X0] : (humble(X0) | ~strong(X0))... | 0 |
Everyone who is not patient or wise is both old and not rich. If paul is either not happy or quiet then alice is not wise. Everyone who is not brave is both not calm and not old and vice versa. Everyone who is both curious and not generous is either rich or kind and vice versa. If someone is rich or not wise then john ... | Susan is not funny. | neutral | (![X]:((~patient(X)|wise(X))=>(old(X)&~rich(X))))&
(((~happy(paul)<~>quiet(paul)))=>(~wise(alice)))&
(![X]:(~brave(X)<=>(~calm(X)&~old(X))))&
(![X]:((curious(X)&~generous(X))<=>(rich(X)<~>kind(X))))&
((?[X]:((rich(X)|~wise(X))))<=>((~funny(john)|~humble(john))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))... | ~funny(susan) | [] | null | 0 |
Everyone who is both not quiet and not generous is not funny or creative and vice versa.
If someone is not patient then lucy is tall or kind.
Everyone who is not creative or not kind is either not generous or not funny.
Everyone who is either funny or brave is both not old and not quiet and vice versa.
Everyone who is ... | Mary is calm. | entailment | (![X]:((~quiet(X)&~generous(X))<=>(~funny(X)|creative(X))))&
((?[X]:(~patient(X)))=>((tall(lucy)|kind(lucy))))&
(![X]:((~creative(X)|~kind(X))=>(~generous(X)<~>~funny(X))))&
(![X]:((funny(X)<~>brave(X))<=>(~old(X)&~quiet(X))))&
(![X]:(~calm(X)=>(generous(X)&~tall(X))))&
(![X]:((~kind(X)<~>~generous(X))<=>(~rich(X)&~qui... | calm(mary) | [
"p0",
"p2",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8182260181521663421874034
% SZS output start Proof for 8182260181521663421874034
1. ! [X0] : ((~generous(X0) & ~quiet(X0)) <=> (creative(X0) | ~funny(X0))) [input p0]
3. ! [X0] : ((~kind(X0) | ~creative(X0)) => (~generous(X0) <~> ~funny(X0))) [input p2]
5. ! [X0] : (~calm(X0) => (~tall(X0... | 0 |
Everyone who is both not creative and not old is either wise or happy.
Everyone who is not strong is either not happy or kind.
Everyone who is not happy is both not rich and not happy and vice versa.
If fred is either funny or happy then alice is not rich.
Everyone who is not curious or not tall is not happy or not old... | Mary is tall. | neutral | (![X]:((~creative(X)&~old(X))=>(wise(X)<~>happy(X))))&
(![X]:(~strong(X)=>(~happy(X)<~>kind(X))))&
(![X]:(~happy(X)<=>(~rich(X)&~happy(X))))&
(((funny(fred)<~>happy(fred)))=>(~rich(alice)))&
(![X]:((~curious(X)|~tall(X))=>(~happy(X)|~old(X))))&
(((quiet(fred)<~>funny(fred)))<=>(?[X]:((~patient(X)&~calm(X)))))&
(![X]:((... | tall(mary) | [] | null | 0 |
If someone is not creative or humble then someone is happy. If someone is both wise and calm then someone is either not kind or not humble and vice versa. Everyone who is both not wise and not kind is either funny or humble and vice versa. If someone is both not kind and not brave then someone is either rich or brave a... | Fred is curious. | neutral | ((?[X]:((~creative(X)|humble(X))))=>(?[X]:(happy(X))))&
((?[X]:((wise(X)&calm(X))))<=>(?[X]:((~kind(X)<~>~humble(X)))))&
(![X]:((~wise(X)&~kind(X))<=>(funny(X)<~>humble(X))))&
((?[X]:((~kind(X)&~brave(X))))<=>(?[X]:((rich(X)<~>brave(X)))))&
(![X]:((~creative(X)<~>quiet(X))=>~calm(X)))&
(![X]:(happy(X)=>(~old(X)<~>~kind... | curious(fred) | [] | null | 0 |
If someone is not kind or happy then fred is either not tall or not wise and vice versa.
If someone is either strong or not creative then fred is both brave and not generous and vice versa.
If susan is not strong then susan is patient or not happy and vice versa.
If someone is either not wise or not old then john is no... | Paul is creative. | contradiction | ((?[X]:((~kind(X)|happy(X))))<=>((~tall(fred)<~>~wise(fred))))&
((?[X]:((strong(X)<~>~creative(X))))<=>((brave(fred)&~generous(fred))))&
((~strong(susan))<=>((patient(susan)|~happy(susan))))&
((?[X]:((~wise(X)<~>~old(X))))<=>((~kind(john)|curious(john))))&
((?[X]:(~generous(X)))<=>(?[X]:(~quiet(X))))&
((~calm(susan))=>... | creative(paul) | [
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9168843739431989033155048
% SZS output start Proof for 9168843739431989033155048
8. ! [X0] : (~creative(X0) <=> (humble(X0) | ~curious(X0))) [input p7]
9. (~curious(paul) & rich(paul)) <=> ? [X0] : (~tall(X0) | brave(X0)) [input p8]
13. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (old(X0... | 0 |
Everyone who is either brave or curious is both old and not calm and vice versa. If someone is either wise or not strong then alice is either not kind or quiet and vice versa. Everyone who is curious is tall or strong and vice versa. Everyone who is not funny or not generous is not strong and vice versa. Everyone who i... | John is not funny. | contradiction | (![X]:((brave(X)<~>curious(X))<=>(old(X)&~calm(X))))&
((?[X]:((wise(X)<~>~strong(X))))<=>((~kind(alice)<~>quiet(alice))))&
(![X]:(curious(X)<=>(tall(X)|strong(X))))&
(![X]:((~funny(X)|~generous(X))<=>~strong(X)))&
(![X]:(~quiet(X)=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[... | ~funny(john) | [
"p2",
"p3",
"p4",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6057491839340119396606533
% SZS output start Proof for 6057491839340119396606533
3. ! [X0] : (curious(X0) <=> (strong(X0) | tall(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | ~funny(X0)) <=> ~strong(X0)) [input p3]
5. ! [X0] : (~quiet(X0) => (~humble(X0) <~> curious(X0))) [input p4]
6. !... | 0 |
Everyone who is calm or not old is funny.
Everyone who is curious or funny is both not tall and not calm and vice versa.
Everyone who is both strong and not strong is curious and vice versa.
Everyone who is curious or not old is not tall.
If fred is not wise then someone is both kind and not old and vice versa.
Everyon... | Mary is not funny. | neutral | (![X]:((calm(X)|~old(X))=>funny(X)))&
(![X]:((curious(X)|funny(X))<=>(~tall(X)&~calm(X))))&
(![X]:((strong(X)&~strong(X))<=>curious(X)))&
(![X]:((curious(X)|~old(X))=>~tall(X)))&
((~wise(fred))<=>(?[X]:((kind(X)&~old(X)))))&
(![X]:((~rich(X)<~>~happy(X))<=>(tall(X)|curious(X))))&
(((brave(alice)&wise(alice)))<=>((~rich... | ~funny(mary) | [] | null | 0 |
If someone is kind then someone is not tall. If someone is brave then someone is either not kind or not happy and vice versa. If someone is both rich and generous then alice is calm and vice versa. Everyone who is happy or tall is humble and vice versa. Everyone who is not happy or rich is either funny or rich. Everyon... | John is not humble. | entailment | ((?[X]:(kind(X)))=>(?[X]:(~tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
((?[X]:((rich(X)&generous(X))))<=>(calm(alice)))&
(![X]:((happy(X)|tall(X))<=>humble(X)))&
(![X]:((~happy(X)|rich(X))=>(funny(X)<~>rich(X))))&
(![X]:((patient(X)&old(X))<=>(humble(X)|~humble(X))))&
(![X]:((~quiet(X)|curious(X)... | ~humble(john) | [
"p3",
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 142170524467810002586542
% SZS output start Proof for 142170524467810002586542
4. ! [X0] : ((tall(X0) | happy(X0)) <=> humble(X0)) [input p3]
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~humble(X0) | humble(X0))) [input p5]
11. ? [X0] : (happy(X0) & ~old(X0)) <=> tall(john) [input p10]
14. ... | 0 |
If someone is not humble or quiet then alice is tall or not generous.
Everyone who is not patient or not kind is old.
Everyone who is both not curious and not happy is curious or not rich.
Everyone who is tall is not funny.
If someone is either not quiet or happy then someone is not generous.
Everyone who is both humbl... | Susan is quiet. | neutral | ((?[X]:((~humble(X)|quiet(X))))=>((tall(alice)|~generous(alice))))&
(![X]:((~patient(X)|~kind(X))=>old(X)))&
(![X]:((~curious(X)&~happy(X))=>(curious(X)|~rich(X))))&
(![X]:(tall(X)=>~funny(X)))&
((?[X]:((~quiet(X)<~>happy(X))))=>(?[X]:(~generous(X))))&
(![X]:((humble(X)&~wise(X))=>(brave(X)|wise(X))))&
(![X]:((calm(X)|... | quiet(susan) | [] | null | 0 |
Everyone who is both calm and patient is both not happy and not strong and vice versa.
Everyone who is both patient and funny is patient and vice versa.
If lucy is either not creative or brave then mary is funny and vice versa.
If susan is either generous or happy then someone is either not quiet or not calm and vice v... | Lucy is not wise. | entailment | (![X]:((calm(X)&patient(X))<=>(~happy(X)&~strong(X))))&
(![X]:((patient(X)&funny(X))<=>patient(X)))&
(((~creative(lucy)<~>brave(lucy)))<=>(funny(mary)))&
(((generous(susan)<~>happy(susan)))<=>(?[X]:((~quiet(X)<~>~calm(X)))))&
(![X]:((~old(X)&~wise(X))=>(kind(X)|~rich(X))))&
(![X]:((tall(X)|brave(X))=>(wise(X)&~generous... | ~wise(lucy) | [
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6294136172522180057860342
% SZS output start Proof for 6294136172522180057860342
8. ! [X0] : ((~generous(X0) & happy(X0)) <=> (~wise(X0) <~> ~happy(X0))) [input p7]
12. ! [X0] : ((calm(X0) | ~wise(X0)) <=> (calm(X0) & ~generous(X0))) [input p11]
14. ! [X0] : ((~wise(X0) & humble(X0)) <=> ... | 0 |
Everyone who is humble is curious and vice versa.
Everyone who is not curious or wise is both not creative and not calm.
If mary is either patient or not quiet then lucy is generous or not brave and vice versa.
Everyone who is either calm or quiet is not curious and vice versa.
Everyone who is not rich is old.
Everyone... | Alice is not humble. | entailment | (![X]:(humble(X)<=>curious(X)))&
(![X]:((~curious(X)|wise(X))=>(~creative(X)&~calm(X))))&
(((patient(mary)<~>~quiet(mary)))<=>((generous(lucy)|~brave(lucy))))&
(![X]:((calm(X)<~>quiet(X))<=>~curious(X)))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~patient(X)&~curious(X))))&
(((humble(lucy)<~>~humble(l... | ~humble(alice) | [
"p0",
"p1",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7810025613686340111481428
% SZS output start Proof for 7810025613686340111481428
1. ! [X0] : (humble(X0) <=> curious(X0)) [input p0]
2. ! [X0] : ((wise(X0) | ~curious(X0)) => (~calm(X0) & ~creative(X0))) [input p1]
4. ! [X0] : ((calm(X0) <~> quiet(X0)) <=> ~curious(X0)) [input p3]
6. ! [X... | 0 |
Everyone who is both not happy and not curious is either not humble or calm and vice versa. If alice is not humble or generous then fred is either not humble or not strong. Everyone who is old is not quiet and vice versa. Everyone who is old is not curious or not calm and vice versa. Everyone who is not wise is either ... | Fred is not generous. | entailment | (![X]:((~happy(X)&~curious(X))<=>(~humble(X)<~>calm(X))))&
(((~humble(alice)|generous(alice)))=>((~humble(fred)<~>~strong(fred))))&
(![X]:(old(X)<=>~quiet(X)))&
(![X]:(old(X)<=>(~curious(X)|~calm(X))))&
(![X]:(~wise(X)<=>(happy(X)<~>~curious(X))))&
(![X]:((calm(X)|~humble(X))=>(happy(X)|~curious(X))))&
(![X]:((creative... | ~generous(fred) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5392600987374801481957129
% SZS output start Proof for 5392600987374801481957129
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (~humble(X0) <~> calm(X0))) [input p0]
3. ! [X0] : (old(X0) <=> ~quiet(X0)) [input p2]
4. ! [X0] : (old(X0) <=> (~calm(X0) | ~curious(X0))) [input p3]
5. ! [X0] : ... | 0 |
If mary is either not generous or humble then fred is both not patient and not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone is not brave or kind.
Everyone who is not creative or quiet is both not creative and quiet and vice versa.
E... | Alice is brave. | contradiction | (((~generous(mary)<~>humble(mary)))=>((~patient(fred)&~strong(fred))))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creative(X))))&
(![X]:(curiou... | brave(alice) | [
"p1",
"p3",
"p5",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2870832231724857908674511
% SZS output start Proof for 2870832231724857908674511
2. ! [X0] : ((~curious(X0) | happy(X0)) <=> (brave(X0) <~> ~humble(X0))) [input p1]
4. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (quiet(X0) & ~creative(X0))) [input p3]
6. ! [X0] : (curious(X0) <=> (curious(X... | 0 |
Everyone who is both kind and not creative is not creative or not patient and vice versa. Everyone who is not old or not rich is either wise or generous and vice versa. Everyone who is both old and not quiet is not kind and vice versa. Everyone who is not humble is strong. Everyone who is both kind and humble is both n... | Alice is strong. | neutral | (![X]:((kind(X)&~creative(X))<=>(~creative(X)|~patient(X))))&
(![X]:((~old(X)|~rich(X))<=>(wise(X)<~>generous(X))))&
(![X]:((old(X)&~quiet(X))<=>~kind(X)))&
(![X]:(~humble(X)=>strong(X)))&
(![X]:((kind(X)&humble(X))<=>(~calm(X)&~wise(X))))&
(((wise(fred)&generous(fred)))<=>(~happy(fred)))&
(((~happy(mary)|~old(mary)))=... | strong(alice) | [] | null | 0 |
Everyone who is not patient is both not strong and creative and vice versa. Everyone who is both quiet and not calm is not happy or happy and vice versa. Everyone who is either curious or strong is not quiet or not brave and vice versa. If someone is not happy then john is rich or happy and vice versa. If someone is cr... | Lucy is not kind. | neutral | (![X]:(~patient(X)<=>(~strong(X)&creative(X))))&
(![X]:((quiet(X)&~calm(X))<=>(~happy(X)|happy(X))))&
(![X]:((curious(X)<~>strong(X))<=>(~quiet(X)|~brave(X))))&
((?[X]:(~happy(X)))<=>((rich(john)|happy(john))))&
((?[X]:(creative(X)))<=>(~patient(paul)))&
((?[X]:(~old(X)))=>(?[X]:((~brave(X)&~tall(X)))))&
(![X]:((humble... | ~kind(lucy) | [] | null | 0 |
Everyone who is generous is either not patient or not creative and vice versa. Everyone who is not curious or funny is both not curious and not quiet and vice versa. Everyone who is either not quiet or curious is not generous or not funny and vice versa. Everyone who is creative or not humble is either tall or generous... | Mary is quiet. | neutral | (![X]:(generous(X)<=>(~patient(X)<~>~creative(X))))&
(![X]:((~curious(X)|funny(X))<=>(~curious(X)&~quiet(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>(~generous(X)|~funny(X))))&
(![X]:((creative(X)|~humble(X))<=>(tall(X)<~>generous(X))))&
(((~kind(john)&patient(john)))=>(?[X]:((~kind(X)<~>kind(X)))))&
(![X]:((~tall(X)<~>~w... | quiet(mary) | [] | null | 0 |
If alice is either not old or not creative then someone is quiet and vice versa.
If mary is either not generous or not quiet then someone is either curious or not strong and vice versa.
If paul is both not calm and not kind then someone is both rich and brave and vice versa.
Everyone who is either generous or not funny... | Paul is patient. | neutral | (((~old(alice)<~>~creative(alice)))<=>(?[X]:(quiet(X))))&
(((~generous(mary)<~>~quiet(mary)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(((~calm(paul)&~kind(paul)))<=>(?[X]:((rich(X)&brave(X)))))&
(![X]:((generous(X)<~>~funny(X))<=>(strong(X)<~>happy(X))))&
(![X]:((rich(X)&~wise(X))<=>(~wise(X)|generous(X))))&
(![X]:((kin... | patient(paul) | [] | null | 0 |
Everyone who is both not rich and not generous is not generous or rich.
If someone is not curious or not kind then alice is curious.
If mary is both quiet and wise then someone is either patient or not curious and vice versa.
If someone is patient or old then someone is both not rich and brave.
Everyone who is not pati... | Mary is funny. | contradiction | (![X]:((~rich(X)&~generous(X))=>(~generous(X)|rich(X))))&
((?[X]:((~curious(X)|~kind(X))))=>(curious(alice)))&
(((quiet(mary)&wise(mary)))<=>(?[X]:((patient(X)<~>~curious(X)))))&
((?[X]:((patient(X)|old(X))))=>(?[X]:((~rich(X)&brave(X)))))&
(![X]:(~patient(X)=>(calm(X)<~>rich(X))))&
(((~funny(john)<~>funny(john)))=>(?[... | funny(mary) | [
"p2",
"p7",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 505760172135584352775439
% SZS output start Proof for 505760172135584352775439
3. (wise(mary) & quiet(mary)) <=> ? [X0] : (patient(X0) <~> ~curious(X0)) [input p2]
8. ! [X0] : (calm(X0) => (~rich(X0) & ~brave(X0))) [input p7]
9. ! [X0] : (~funny(X0) <=> (~calm(X0) & quiet(X0))) [input p8]... | 0 |
Everyone who is not happy or not strong is strong or not quiet.
Everyone who is strong is not humble or wise and vice versa.
Everyone who is both old and not generous is either humble or quiet and vice versa.
Everyone who is either funny or wise is either strong or tall.
Everyone who is both not generous and happy is e... | Mary is not patient. | entailment | (![X]:((~happy(X)|~strong(X))=>(strong(X)|~quiet(X))))&
(![X]:(strong(X)<=>(~humble(X)|wise(X))))&
(![X]:((old(X)&~generous(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((funny(X)<~>wise(X))=>(strong(X)<~>tall(X))))&
(![X]:((~generous(X)&happy(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((creative(X)|generous(X))=>(~wise(X)&~b... | ~patient(mary) | [
"p0",
"p1",
"p2",
"p5",
"p6",
"p7",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 792835115729814430670609
% SZS output start Proof for 792835115729814430670609
1. ! [X0] : ((~strong(X0) | ~happy(X0)) => (~quiet(X0) | strong(X0))) [input p0]
2. ! [X0] : (strong(X0) <=> (wise(X0) | ~humble(X0))) [input p1]
3. ! [X0] : ((~generous(X0) & old(X0)) <=> (humble(X0) <~> quiet... | 0 |
If susan is either not calm or not brave then someone is not creative. If john is not quiet or quiet then mary is rich or not humble and vice versa. Everyone who is both generous and humble is either quiet or wise and vice versa. If someone is humble then john is either not old or not strong. Everyone who is both brave... | John is not kind. | entailment | (((~calm(susan)<~>~brave(susan)))=>(?[X]:(~creative(X))))&
(((~quiet(john)|quiet(john)))<=>((rich(mary)|~humble(mary))))&
(![X]:((generous(X)&humble(X))<=>(quiet(X)<~>wise(X))))&
((?[X]:(humble(X)))=>((~old(john)<~>~strong(john))))&
(![X]:((brave(X)&~patient(X))<=>(humble(X)<~>~creative(X))))&
(![X]:((~quiet(X)<~>quiet... | ~kind(john) | [
"p5",
"p10",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3522280807206409726524
% SZS output start Proof for 3522280807206409726524
6. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (~humble(X0) & ~quiet(X0))) [input p5]
11. ? [X0] : (~rich(X0) | funny(X0)) => (quiet(john) <~> old(john)) [input p10]
14. (~old(john) & kind(john)) <=> ? [X0] : kind(X0)... | 0 |
Everyone who is kind is creative or not kind and vice versa.
Everyone who is creative is either not patient or generous and vice versa.
If someone is patient then someone is rich or patient.
If someone is not strong or not old then lucy is both humble and not rich and vice versa.
If susan is either not creative or calm... | Paul is not wise. | entailment | (![X]:(kind(X)<=>(creative(X)|~kind(X))))&
(![X]:(creative(X)<=>(~patient(X)<~>generous(X))))&
((?[X]:(patient(X)))=>(?[X]:((rich(X)|patient(X)))))&
((?[X]:((~strong(X)|~old(X))))<=>((humble(lucy)&~rich(lucy))))&
(((~creative(susan)<~>calm(susan)))=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:((~calm(X)<~>~funny(X))<=>~calm(... | ~wise(paul) | [
"p0",
"p1",
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5889959240089308143212181
% SZS output start Proof for 5889959240089308143212181
1. ! [X0] : (kind(X0) <=> (~kind(X0) | creative(X0))) [input p0]
2. ! [X0] : (creative(X0) <=> (~patient(X0) <~> generous(X0))) [input p1]
11. ! [X0] : ((~wise(X0) & brave(X0)) <=> (tall(X0) | ~humble(X0))) [... | 0 |
Everyone who is either not funny or quiet is not curious. Everyone who is both old and not rich is creative and vice versa. Everyone who is not rich is not patient and vice versa. Everyone who is not creative is both quiet and generous and vice versa. If someone is not brave or not generous then someone is either rich ... | Alice is funny. | entailment | (![X]:((~funny(X)<~>quiet(X))=>~curious(X)))&
(![X]:((old(X)&~rich(X))<=>creative(X)))&
(![X]:(~rich(X)<=>~patient(X)))&
(![X]:(~creative(X)<=>(quiet(X)&generous(X))))&
((?[X]:((~brave(X)|~generous(X))))=>(?[X]:((rich(X)<~>~rich(X)))))&
(((~happy(john)<~>tall(john)))=>((funny(mary)&tall(mary))))&
(![X]:((patient(X)<~>~... | funny(alice) | [
"p1",
"p2",
"p3",
"p7",
"p8",
"p9",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7080020321536533116389403
% SZS output start Proof for 7080020321536533116389403
2. ! [X0] : ((~rich(X0) & old(X0)) <=> creative(X0)) [input p1]
3. ! [X0] : (~rich(X0) <=> ~patient(X0)) [input p2]
4. ! [X0] : (~creative(X0) <=> (generous(X0) & quiet(X0))) [input p3]
8. ! [X0] : (generous(... | 0 |
Everyone who is not humble or calm is both old and patient and vice versa.
If someone is not strong then someone is either not generous or quiet and vice versa.
Everyone who is not generous or patient is tall or not strong and vice versa.
Everyone who is quiet or not strong is not funny.
Everyone who is either brave or... | Fred is not funny. | neutral | (![X]:((~humble(X)|calm(X))<=>(old(X)&patient(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~generous(X)<~>quiet(X)))))&
(![X]:((~generous(X)|patient(X))<=>(tall(X)|~strong(X))))&
(![X]:((quiet(X)|~strong(X))=>~funny(X)))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)|~calm(X))))&
(((quiet(lucy)&generous(lucy)))<=>(?[X]:(~brave(X... | ~funny(fred) | [] | null | 0 |
If someone is not creative then someone is either not happy or not kind and vice versa.
Everyone who is either brave or curious is not strong and vice versa.
Everyone who is both patient and humble is either not tall or not quiet.
Everyone who is both not quiet and happy is both not generous and calm.
If someone is bot... | Lucy is not quiet. | contradiction | ((?[X]:(~creative(X)))<=>(?[X]:((~happy(X)<~>~kind(X)))))&
(![X]:((brave(X)<~>curious(X))<=>~strong(X)))&
(![X]:((patient(X)&humble(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&happy(X))=>(~generous(X)&calm(X))))&
((?[X]:((~calm(X)&~old(X))))<=>(?[X]:((old(X)&~strong(X)))))&
((?[X]:(~patient(X)))=>(old(susan)))&
(!... | ~quiet(lucy) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5527520206166823982518034
% SZS output start Proof for 5527520206166823982518034
9. ! [X0] : ((quiet(X0) & happy(X0)) <=> (~quiet(X0) | funny(X0))) [input p8]
24. ~quiet(lucy) [input hypothesis]
50. ! [X0] : (((quiet(X0) & happy(X0)) | (quiet(X0) & ~funny(X0))) & ((~quiet(X0) | funny(X0))... | 0 |
Everyone who is creative is not strong.
If lucy is not wise then someone is both happy and not wise.
Everyone who is either not brave or old is both wise and strong and vice versa.
Everyone who is either not brave or not humble is both not strong and not calm and vice versa.
Everyone who is not quiet is either strong o... | John is funny. | neutral | (![X]:(creative(X)=>~strong(X)))&
((~wise(lucy))=>(?[X]:((happy(X)&~wise(X)))))&
(![X]:((~brave(X)<~>old(X))<=>(wise(X)&strong(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(~strong(X)&~calm(X))))&
(![X]:(~quiet(X)=>(strong(X)<~>old(X))))&
(![X]:((old(X)<~>~humble(X))=>(~creative(X)|~tall(X))))&
(![X]:(~brave(X)<=>(creative... | funny(john) | [] | null | 0 |
If someone is not kind then paul is both rich and funny.
Everyone who is not happy or not curious is happy.
If someone is not patient then someone is either quiet or tall.
If alice is both brave and creative then lucy is both not funny and not old and vice versa.
Everyone who is brave is calm or not old and vice versa.... | Lucy is calm. | contradiction | ((?[X]:(~kind(X)))=>((rich(paul)&funny(paul))))&
(![X]:((~happy(X)|~curious(X))=>happy(X)))&
((?[X]:(~patient(X)))=>(?[X]:((quiet(X)<~>tall(X)))))&
(((brave(alice)&creative(alice)))<=>((~funny(lucy)&~old(lucy))))&
(![X]:(brave(X)<=>(calm(X)|~old(X))))&
((?[X]:((~tall(X)|~curious(X))))=>(?[X]:((happy(X)&calm(X)))))&
(![... | calm(lucy) | [
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4931336042624899681192515
% SZS output start Proof for 4931336042624899681192515
13. ! [X0] : (~creative(X0) <=> (humble(X0) & ~humble(X0))) [input p12]
19. ~calm(lucy) | ~creative(lucy) [input p18]
25. calm(lucy) [input hypothesis]
60. ! [X0] : ((~creative(X0) | (~humble(X0) | humble(X0)... | 0 |
If someone is quiet then fred is either creative or generous. Everyone who is not kind or not old is wise and vice versa. Everyone who is kind is funny or not rich. If paul is not funny or calm then paul is not generous or humble and vice versa. Everyone who is both happy and not curious is not happy or curious. Everyo... | Alice is curious. | entailment | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((~kind(X)|~old(X))<=>wise(X)))&
(![X]:(kind(X)=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((pat... | curious(alice) | [
"p5",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2318174782612802907117968
% SZS output start Proof for 2318174782612802907117968
6. ! [X0] : (~curious(X0) => (~humble(X0) & ~generous(X0))) [input p5]
8. ! [X0] : (~creative(X0) => ~patient(X0)) [input p7]
9. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p8]
11. ! [X0] : ... | 0 |
Everyone who is either happy or curious is generous or not wise.
Everyone who is either not funny or not patient is rich or quiet.
Everyone who is either not old or old is either not old or brave.
Everyone who is both not calm and generous is rich or not kind and vice versa.
If someone is both not strong and generous t... | Lucy is not happy. | contradiction | (![X]:((happy(X)<~>curious(X))=>(generous(X)|~wise(X))))&
(![X]:((~funny(X)<~>~patient(X))=>(rich(X)|quiet(X))))&
(![X]:((~old(X)<~>old(X))=>(~old(X)<~>brave(X))))&
(![X]:((~calm(X)&generous(X))<=>(rich(X)|~kind(X))))&
((?[X]:((~strong(X)&generous(X))))<=>((~quiet(lucy)|strong(lucy))))&
(((calm(mary)<~>wise(mary)))<=>(... | ~happy(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 113742281691114220690871
% SZS output start Proof for 113742281691114220690871
15. ! [X0] : ((~happy(X0) | ~kind(X0)) => happy(X0)) [input p14]
25. ~happy(lucy) [input hypothesis]
39. ! [X0] : (happy(X0) | (happy(X0) & kind(X0))) [ennf transformation 15]
135. happy(X0) | happy(X0) [cnf tr... | 0 |
Everyone who is not patient or quiet is either brave or happy.
If susan is not generous then mary is patient and vice versa.
If someone is both not creative and curious then someone is either not humble or not wise.
If paul is either strong or not humble then alice is funny and vice versa.
If someone is both not humble... | Alice is funny. | entailment | (![X]:((~patient(X)|quiet(X))=>(brave(X)<~>happy(X))))&
((~generous(susan))<=>(patient(mary)))&
((?[X]:((~creative(X)&curious(X))))=>(?[X]:((~humble(X)<~>~wise(X)))))&
(((strong(paul)<~>~humble(paul)))<=>(funny(alice)))&
((?[X]:((~humble(X)&~generous(X))))=>(?[X]:((~generous(X)&brave(X)))))&
((?[X]:(brave(X)))=>(?[X]:(... | funny(alice) | [
"p6",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8000163676493106716555175
% SZS output start Proof for 8000163676493106716555175
7. ! [X0] : (brave(X0) => (~kind(X0) & tall(X0))) [input p6]
8. ! [X0] : ((~humble(X0) | ~tall(X0)) <=> (~old(X0) & rich(X0))) [input p7]
13. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (funny(X0) | old(X0))) [i... | 0 |
Everyone who is not creative is creative or not tall and vice versa.
Everyone who is both happy and not patient is either not strong or generous and vice versa.
Everyone who is generous is not tall and vice versa.
If susan is not humble then someone is humble or funny.
Everyone who is either not calm or patient is not ... | Susan is not old. | entailment | (![X]:(~creative(X)<=>(creative(X)|~tall(X))))&
(![X]:((happy(X)&~patient(X))<=>(~strong(X)<~>generous(X))))&
(![X]:(generous(X)<=>~tall(X)))&
((~humble(susan))=>(?[X]:((humble(X)|funny(X)))))&
(![X]:((~calm(X)<~>patient(X))<=>~old(X)))&
(![X]:(tall(X)=>(~strong(X)|~generous(X))))&
(![X]:((humble(X)<~>~quiet(X))=>(~ric... | ~old(susan) | [
"p0",
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4825823166759886851328932
% SZS output start Proof for 4825823166759886851328932
1. ! [X0] : (~creative(X0) <=> (~tall(X0) | creative(X0))) [input p0]
3. ! [X0] : (generous(X0) <=> ~tall(X0)) [input p2]
7. ! [X0] : ((humble(X0) <~> ~quiet(X0)) => (~generous(X0) & ~rich(X0))) [input p6]
12... | 0 |
If someone is both humble and brave then john is not generous or generous.
Everyone who is both generous and creative is kind or tall and vice versa.
Everyone who is not funny or wise is either rich or creative.
If someone is humble then mary is both not strong and old and vice versa.
If someone is calm then paul is ei... | Paul is not creative. | contradiction | ((?[X]:((humble(X)&brave(X))))=>((~generous(john)|generous(john))))&
(![X]:((generous(X)&creative(X))<=>(kind(X)|tall(X))))&
(![X]:((~funny(X)|wise(X))=>(rich(X)<~>creative(X))))&
((?[X]:(humble(X)))<=>((~strong(mary)&old(mary))))&
((?[X]:(calm(X)))=>((strong(paul)<~>old(paul))))&
(![X]:(~kind(X)<=>(~patient(X)&~old(X)... | ~creative(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1467408685646504021298006
% SZS output start Proof for 1467408685646504021298006
7. ! [X0] : (~rich(X0) <=> (rich(X0) & ~creative(X0))) [input p6]
22. ~creative(paul) [input hypothesis]
49. ! [X0] : ((~rich(X0) | (~rich(X0) | creative(X0))) & ((rich(X0) & ~creative(X0)) | rich(X0))) [nnf ... | 0 |
If paul is not quiet then fred is both curious and not generous.
If someone is generous or not brave then susan is either generous or not quiet.
If paul is either not wise or not curious then someone is kind or rich and vice versa.
If alice is both not happy and not strong then fred is both tall and strong.
If fred is ... | Mary is quiet. | entailment | ((~quiet(paul))=>((curious(fred)&~generous(fred))))&
((?[X]:((generous(X)|~brave(X))))=>((generous(susan)<~>~quiet(susan))))&
(((~wise(paul)<~>~curious(paul)))<=>(?[X]:((kind(X)|rich(X)))))&
(((~happy(alice)&~strong(alice)))=>((tall(fred)&strong(fred))))&
((~calm(fred))=>((creative(john)<~>tall(john))))&
(((funny(fred)... | quiet(mary) | [
"p6",
"p7",
"p9",
"p12",
"p13",
"p15",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7764449606088993431261383
% SZS output start Proof for 7764449606088993431261383
7. ! [X0] : ((generous(X0) <~> ~happy(X0)) <=> (funny(X0) & ~calm(X0))) [input p6]
8. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (strong(X0) & wise(X0))) [input p7]
10. ! [X0] : (rich(X0) => (humble(X0) | ~rich(... | 0 |
Everyone who is either not patient or not wise is both wise and not funny and vice versa.
Everyone who is both curious and not calm is not calm and vice versa.
Everyone who is not curious is not wise or not strong and vice versa.
Everyone who is both old and creative is either strong or not wise and vice versa.
If paul... | Lucy is humble. | neutral | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&~funny(X))))&
(![X]:((curious(X)&~calm(X))<=>~calm(X)))&
(![X]:(~curious(X)<=>(~wise(X)|~strong(X))))&
(![X]:((old(X)&creative(X))<=>(strong(X)<~>~wise(X))))&
((~brave(paul))<=>(brave(alice)))&
(((creative(mary)|~calm(mary)))<=>((tall(lucy)|~strong(lucy))))&
(![X]:((creative(X... | humble(lucy) | [] | null | 0 |
Everyone who is not generous is either happy or rich and vice versa.
Everyone who is wise is quiet or not curious.
Everyone who is either not wise or tall is both not patient and creative.
Everyone who is both patient and funny is both not old and not patient and vice versa.
Everyone who is not generous is kind or not ... | John is not creative. | neutral | (![X]:(~generous(X)<=>(happy(X)<~>rich(X))))&
(![X]:(wise(X)=>(quiet(X)|~curious(X))))&
(![X]:((~wise(X)<~>tall(X))=>(~patient(X)&creative(X))))&
(![X]:((patient(X)&funny(X))<=>(~old(X)&~patient(X))))&
(![X]:(~generous(X)<=>(kind(X)|~wise(X))))&
((?[X]:(~happy(X)))=>(?[X]:((happy(X)<~>funny(X)))))&
(![X]:((~patient(X)|... | ~creative(john) | [] | null | 0 |
If someone is not happy or calm then alice is both patient and not brave and vice versa. If someone is both not creative and tall then mary is not creative. If someone is not calm then fred is either not tall or patient and vice versa. Everyone who is not brave or rich is tall or wise and vice versa. Everyone who is hu... | Lucy is not curious. | contradiction | ((?[X]:((~happy(X)|calm(X))))<=>((patient(alice)&~brave(alice))))&
((?[X]:((~creative(X)&tall(X))))=>(~creative(mary)))&
((?[X]:(~calm(X)))<=>((~tall(fred)<~>patient(fred))))&
(![X]:((~brave(X)|rich(X))<=>(tall(X)|wise(X))))&
(![X]:((humble(X)|~generous(X))<=>old(X)))&
(![X]:((~curious(X)<~>generous(X))<=>(old(X)<~>~qu... | ~curious(lucy) | [
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6707457937629860592772295
% SZS output start Proof for 6707457937629860592772295
5. ! [X0] : ((~generous(X0) | humble(X0)) <=> old(X0)) [input p4]
10. ! [X0] : ((~old(X0) <~> ~curious(X0)) => (~rich(X0) & ~old(X0))) [input p9]
11. ! [X0] : ((~old(X0) | tall(X0)) => (happy(X0) & humble(X0)... | 0 |
Everyone who is both not tall and not quiet is not creative.
Everyone who is not creative is calm or not curious.
If someone is either not quiet or wise then lucy is both not curious and creative.
If someone is not rich or curious then someone is not happy.
If paul is not old then someone is not patient.
Everyone who i... | Lucy is patient. | entailment | (![X]:((~tall(X)&~quiet(X))=>~creative(X)))&
(![X]:(~creative(X)=>(calm(X)|~curious(X))))&
((?[X]:((~quiet(X)<~>wise(X))))=>((~curious(lucy)&creative(lucy))))&
((?[X]:((~rich(X)|curious(X))))=>(?[X]:(~happy(X))))&
((~old(paul))=>(?[X]:(~patient(X))))&
(![X]:((quiet(X)&~happy(X))=>(~tall(X)|~calm(X))))&
(![X]:((happy(X)... | patient(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5951762948982570810686760
% SZS output start Proof for 5951762948982570810686760
12. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) => (patient(X0) & strong(X0))) [input p11]
24. ~patient(lucy) [input hypothesis]
43. ! [X0] : ((patient(X0) & strong(X0)) | (quiet(X0) <=> ~quiet(X0))) [ennf transform... | 0 |
If susan is not tall then fred is not strong and vice versa.
Everyone who is both not generous and not old is happy.
Everyone who is both wise and not patient is not rich and vice versa.
Everyone who is quiet is not calm or strong and vice versa.
Everyone who is wise is both not generous and humble.
Everyone who is eit... | Paul is not old. | entailment | ((~tall(susan))<=>(~strong(fred)))&
(![X]:((~generous(X)&~old(X))=>happy(X)))&
(![X]:((wise(X)&~patient(X))<=>~rich(X)))&
(![X]:(quiet(X)<=>(~calm(X)|strong(X))))&
(![X]:(wise(X)=>(~generous(X)&humble(X))))&
(![X]:((~funny(X)<~>~happy(X))<=>(quiet(X)|wise(X))))&
(![X]:((quiet(X)|~humble(X))<=>(strong(X)|~humble(X))))&
... | ~old(paul) | [
"p7",
"p8",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7042623578515532933325312
% SZS output start Proof for 7042623578515532933325312
8. ! [X0] : (calm(X0) => (curious(X0) <~> ~old(X0))) [input p7]
9. ! [X0] : ((brave(X0) & ~humble(X0)) <=> ~calm(X0)) [input p8]
15. ! [X0] : ((~old(X0) <~> humble(X0)) <=> (brave(X0) | quiet(X0))) [input p14... | 0 |
Everyone who is calm or not creative is either curious or wise. If someone is not happy then someone is happy or rich and vice versa. Everyone who is not quiet or happy is both not humble and not generous and vice versa. If someone is both kind and humble then paul is both rich and not strong. If fred is both brave and... | Paul is not wise. | entailment | (![X]:((calm(X)|~creative(X))=>(curious(X)<~>wise(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((happy(X)|rich(X)))))&
(![X]:((~quiet(X)|happy(X))<=>(~humble(X)&~generous(X))))&
((?[X]:((kind(X)&humble(X))))=>((rich(paul)&~strong(paul))))&
(((brave(fred)&~brave(fred)))<=>(strong(mary)))&
(![X]:((brave(X)&~curious(X))=>wise(X)))&... | ~wise(paul) | [
"p5",
"p6",
"p8",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6530054429448864901810205
% SZS output start Proof for 6530054429448864901810205
6. ! [X0] : ((~curious(X0) & brave(X0)) => wise(X0)) [input p5]
7. ! [X0] : (~wise(X0) <=> (~kind(X0) | tall(X0))) [input p6]
9. ! [X0] : ((funny(X0) & creative(X0)) <=> (~funny(X0) <~> generous(X0))) [input ... | 0 |
Everyone who is patient or not rich is either rich or not generous and vice versa.
If someone is either curious or not calm then lucy is both not generous and calm and vice versa.
If someone is curious or not wise then someone is both not quiet and old.
Everyone who is both happy and not wise is generous or funny.
If s... | Lucy is calm. | entailment | (![X]:((patient(X)|~rich(X))<=>(rich(X)<~>~generous(X))))&
((?[X]:((curious(X)<~>~calm(X))))<=>((~generous(lucy)&calm(lucy))))&
((?[X]:((curious(X)|~wise(X))))=>(?[X]:((~quiet(X)&old(X)))))&
(![X]:((happy(X)&~wise(X))=>(generous(X)|funny(X))))&
((?[X]:((happy(X)&~quiet(X))))=>(?[X]:((~happy(X)|~tall(X)))))&
(![X]:((~pa... | calm(lucy) | [
"p1",
"p2",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6481239481717293312337187
% SZS output start Proof for 6481239481717293312337187
2. ? [X0] : (curious(X0) <~> ~calm(X0)) <=> (calm(lucy) & ~generous(lucy)) [input p1]
3. ? [X0] : (~wise(X0) | curious(X0)) => ? [X0] : (old(X0) & ~quiet(X0)) [input p2]
9. ! [X0] : ((rich(X0) <~> ~rich(X0)) ... | 0 |
If someone is either not humble or not curious then john is both not rich and not tall. Everyone who is both not generous and funny is both not rich and creative and vice versa. Everyone who is either rich or not happy is tall or not funny and vice versa. Everyone who is both brave and not curious is not patient or gen... | Fred is not creative. | entailment | ((?[X]:((~humble(X)<~>~curious(X))))=>((~rich(john)&~tall(john))))&
(![X]:((~generous(X)&funny(X))<=>(~rich(X)&creative(X))))&
(![X]:((rich(X)<~>~happy(X))<=>(tall(X)|~funny(X))))&
(![X]:((brave(X)&~curious(X))<=>(~patient(X)|generous(X))))&
(![X]:((~brave(X)|~calm(X))<=>(~funny(X)<~>quiet(X))))&
((?[X]:((~old(X)|~happ... | ~creative(fred) | [
"p3",
"p10",
"p12",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3811040299039353964524313
% SZS output start Proof for 3811040299039353964524313
4. ! [X0] : ((~curious(X0) & brave(X0)) <=> (generous(X0) | ~patient(X0))) [input p3]
11. ! [X0] : ((~generous(X0) & kind(X0)) <=> (patient(X0) & creative(X0))) [input p10]
13. ! [X0] : ((~generous(X0) & ~kin... | 0 |
Everyone who is humble or not wise is quiet. Everyone who is either not happy or not calm is either not creative or not funny and vice versa. Everyone who is not wise or not happy is both curious and tall. If lucy is either patient or not patient then fred is either not curious or creative. If someone is humble then so... | John is calm. | contradiction | (![X]:((humble(X)|~wise(X))=>quiet(X)))&
(![X]:((~happy(X)<~>~calm(X))<=>(~creative(X)<~>~funny(X))))&
(![X]:((~wise(X)|~happy(X))=>(curious(X)&tall(X))))&
(((patient(lucy)<~>~patient(lucy)))=>((~curious(fred)<~>creative(fred))))&
((?[X]:(humble(X)))<=>(?[X]:((~tall(X)&strong(X)))))&
(![X]:((~kind(X)&~creative(X))<=>(~... | calm(john) | [
"p0",
"p2",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4711225292167579566492028
% SZS output start Proof for 4711225292167579566492028
1. ! [X0] : ((~wise(X0) | humble(X0)) => quiet(X0)) [input p0]
3. ! [X0] : ((~happy(X0) | ~wise(X0)) => (tall(X0) & curious(X0))) [input p2]
7. ! [X0] : ((~happy(X0) <~> generous(X0)) => (brave(X0) & ~quiet(X... | 0 |
Everyone who is either not patient or not happy is patient or not quiet.
Everyone who is not tall is patient or tall.
Everyone who is either quiet or generous is both not rich and not funny.
Everyone who is either not strong or patient is humble or wise and vice versa.
If lucy is both quiet and not quiet then susan is ... | Alice is not brave. | neutral | (![X]:((~patient(X)<~>~happy(X))=>(patient(X)|~quiet(X))))&
(![X]:(~tall(X)=>(patient(X)|tall(X))))&
(![X]:((quiet(X)<~>generous(X))=>(~rich(X)&~funny(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)|wise(X))))&
(((quiet(lucy)&~quiet(lucy)))<=>(curious(susan)))&
(![X]:((~quiet(X)<~>~tall(X))<=>(~brave(X)<~>~creativ... | ~brave(alice) | [] | null | 0 |
Everyone who is either not funny or curious is not rich and vice versa.
If someone is kind or calm then fred is both calm and quiet.
Everyone who is both calm and not strong is patient and vice versa.
Everyone who is either kind or patient is not quiet and vice versa.
Everyone who is not humble or curious is either hum... | Paul is not quiet. | contradiction | (![X]:((~funny(X)<~>curious(X))<=>~rich(X)))&
((?[X]:((kind(X)|calm(X))))=>((calm(fred)&quiet(fred))))&
(![X]:((calm(X)&~strong(X))<=>patient(X)))&
(![X]:((kind(X)<~>patient(X))<=>~quiet(X)))&
(![X]:((~humble(X)|curious(X))=>(humble(X)<~>rich(X))))&
(((~rich(mary)<~>strong(mary)))<=>((wise(john)|creative(john))))&
(![X... | ~quiet(paul) | [
"p1",
"p2",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3175712685405758635729789
% SZS output start Proof for 3175712685405758635729789
2. ? [X0] : (calm(X0) | kind(X0)) => (quiet(fred) & calm(fred)) [input p1]
3. ! [X0] : ((~strong(X0) & calm(X0)) <=> patient(X0)) [input p2]
4. ! [X0] : ((kind(X0) <~> patient(X0)) <=> ~quiet(X0)) [input p3]
... | 0 |
Everyone who is either kind or not kind is either kind or patient and vice versa.
Everyone who is either not quiet or happy is wise.
Everyone who is not quiet or kind is curious and vice versa.
Everyone who is generous or brave is both happy and brave.
Everyone who is either not quiet or not rich is either creative or ... | Mary is wise. | contradiction | (![X]:((kind(X)<~>~kind(X))<=>(kind(X)<~>patient(X))))&
(![X]:((~quiet(X)<~>happy(X))=>wise(X)))&
(![X]:((~quiet(X)|kind(X))<=>curious(X)))&
(![X]:((generous(X)|brave(X))=>(happy(X)&brave(X))))&
(![X]:((~quiet(X)<~>~rich(X))<=>(creative(X)<~>generous(X))))&
((?[X]:((~humble(X)&~tall(X))))=>((happy(john)<~>~generous(joh... | wise(mary) | [
"p3",
"p4",
"p6",
"p7",
"p11",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4411761486589470367799556
% SZS output start Proof for 4411761486589470367799556
4. ! [X0] : ((brave(X0) | generous(X0)) => (brave(X0) & happy(X0))) [input p3]
5. ! [X0] : ((~quiet(X0) <~> ~rich(X0)) <=> (creative(X0) <~> generous(X0))) [input p4]
7. ! [X0] : (rich(X0) => (~tall(X0) <~> h... | 0 |
Everyone who is curious or not patient is generous or not wise.
If someone is not creative or happy then someone is both quiet and tall.
Everyone who is both rich and tall is humble or not tall.
Everyone who is not kind is both curious and brave and vice versa.
Everyone who is not quiet is curious and vice versa.
If so... | Fred is kind. | entailment | (![X]:((curious(X)|~patient(X))=>(generous(X)|~wise(X))))&
((?[X]:((~creative(X)|happy(X))))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((rich(X)&tall(X))=>(humble(X)|~tall(X))))&
(![X]:(~kind(X)<=>(curious(X)&brave(X))))&
(![X]:(~quiet(X)<=>curious(X)))&
((?[X]:((generous(X)<~>~patient(X))))<=>(?[X]:(~brave(X))))&
(((old(ma... | kind(fred) | [
"p0",
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2706789533808648759986809
% SZS output start Proof for 2706789533808648759986809
1. ! [X0] : ((~patient(X0) | curious(X0)) => (~wise(X0) | generous(X0))) [input p0]
4. ! [X0] : (~kind(X0) <=> (brave(X0) & curious(X0))) [input p3]
18. wise(fred) & ~generous(fred) [input p17]
25. ~kind(fred... | 0 |
If john is both not generous and kind then alice is brave and vice versa.
If alice is either not creative or patient then someone is wise or not humble and vice versa.
Everyone who is either not curious or old is either tall or not brave and vice versa.
Everyone who is both rich and not humble is both not funny and not... | Susan is not humble. | contradiction | (((~generous(john)&kind(john)))<=>(brave(alice)))&
(((~creative(alice)<~>patient(alice)))<=>(?[X]:((wise(X)|~humble(X)))))&
(![X]:((~curious(X)<~>old(X))<=>(tall(X)<~>~brave(X))))&
(![X]:((rich(X)&~humble(X))=>(~funny(X)&~happy(X))))&
((~generous(lucy))<=>((humble(lucy)<~>~curious(lucy))))&
(![X]:((~wise(X)&rich(X))<=>... | ~humble(susan) | [
"p3",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6069240301033400988147368
% SZS output start Proof for 6069240301033400988147368
4. ! [X0] : ((~humble(X0) & rich(X0)) => (~happy(X0) & ~funny(X0))) [input p3]
16. (~tall(susan) | tall(susan)) <=> happy(susan) [input p15]
24. ~patient(susan) & rich(susan) [input p23]
25. ~humble(susan) [i... | 0 |
If someone is not patient then lucy is either not strong or not old and vice versa.
If someone is not curious or curious then lucy is either creative or strong and vice versa.
If someone is either not kind or not patient then lucy is not old or humble and vice versa.
Everyone who is calm is not curious.
If someone is b... | Lucy is old. | neutral | ((?[X]:(~patient(X)))<=>((~strong(lucy)<~>~old(lucy))))&
((?[X]:((~curious(X)|curious(X))))<=>((creative(lucy)<~>strong(lucy))))&
((?[X]:((~kind(X)<~>~patient(X))))<=>((~old(lucy)|humble(lucy))))&
(![X]:(calm(X)=>~curious(X)))&
((?[X]:((old(X)&kind(X))))=>(?[X]:(rich(X))))&
(![X]:((tall(X)<~>~kind(X))<=>(quiet(X)&~happ... | old(lucy) | [] | null | 0 |
Everyone who is brave is strong or not kind and vice versa.
Everyone who is happy or kind is either not wise or calm and vice versa.
If john is either not patient or quiet then someone is happy and vice versa.
Everyone who is both strong and creative is either patient or not creative and vice versa.
Everyone who is hum... | Paul is happy. | entailment | (![X]:(brave(X)<=>(strong(X)|~kind(X))))&
(![X]:((happy(X)|kind(X))<=>(~wise(X)<~>calm(X))))&
(((~patient(john)<~>quiet(john)))<=>(?[X]:(happy(X))))&
(![X]:((strong(X)&creative(X))<=>(patient(X)<~>~creative(X))))&
(![X]:(humble(X)=>(~creative(X)|quiet(X))))&
((?[X]:(~rich(X)))<=>((~rich(fred)<~>~humble(fred))))&
(((gen... | happy(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6547460979313979344153156
% SZS output start Proof for 6547460979313979344153156
16. ! [X0] : ((happy(X0) | calm(X0)) <=> ~calm(X0)) [input p15]
25. ~happy(paul) [input hypothesis]
70. ! [X0] : (((happy(X0) | calm(X0)) | calm(X0)) & (~calm(X0) | (~happy(X0) & ~calm(X0)))) [nnf transformat... | 0 |
Everyone who is both not strong and old is either not wise or humble.
If someone is happy or patient then fred is either kind or not curious and vice versa.
Everyone who is either not quiet or patient is either funny or old.
Everyone who is not humble is either not funny or brave.
If someone is either not quiet or not ... | Fred is creative. | entailment | (![X]:((~strong(X)&old(X))=>(~wise(X)<~>humble(X))))&
((?[X]:((happy(X)|patient(X))))<=>((kind(fred)<~>~curious(fred))))&
(![X]:((~quiet(X)<~>patient(X))=>(funny(X)<~>old(X))))&
(![X]:(~humble(X)=>(~funny(X)<~>brave(X))))&
((?[X]:((~quiet(X)<~>~creative(X))))=>(?[X]:((creative(X)|~rich(X)))))&
(![X]:((brave(X)&~happy(X... | creative(fred) | [
"p5",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 395358117984482354733280
% SZS output start Proof for 395358117984482354733280
6. ! [X0] : ((~happy(X0) & brave(X0)) <=> (~humble(X0) <~> calm(X0))) [input p5]
9. ! [X0] : (~calm(X0) <=> (rich(X0) | happy(X0))) [input p8]
11. ! [X0] : ((calm(X0) | ~humble(X0)) <=> (creative(X0) <~> happy(... | 0 |
Everyone who is not rich or curious is either not old or old. If lucy is not old or not kind then mary is humble and vice versa. If someone is not quiet or tall then someone is either not brave or not humble and vice versa. Everyone who is both not strong and quiet is either not patient or tall and vice versa. Everyone... | Alice is humble. | contradiction | (![X]:((~rich(X)|curious(X))=>(~old(X)<~>old(X))))&
(((~old(lucy)|~kind(lucy)))<=>(humble(mary)))&
((?[X]:((~quiet(X)|tall(X))))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(![X]:((~strong(X)&quiet(X))<=>(~patient(X)<~>tall(X))))&
(![X]:((~funny(X)|patient(X))<=>(~patient(X)|~humble(X))))&
(![X]:((strong(X)<~>~generous(X))<=... | humble(alice) | [
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3713382412003985447255130
% SZS output start Proof for 3713382412003985447255130
5. ! [X0] : ((patient(X0) | ~funny(X0)) <=> (~humble(X0) | ~patient(X0))) [input p4]
14. ! [X0] : ((~patient(X0) | ~brave(X0)) <=> ~humble(X0)) [input p13]
24. humble(alice) [input hypothesis]
48. ! [X0] : ((... | 0 |
If paul is creative or brave then someone is either old or kind and vice versa. Everyone who is tall is both quiet and not rich and vice versa. Everyone who is not calm is not patient and vice versa. If paul is either not quiet or patient then fred is both brave and not kind. If someone is quiet or tall then someone is... | Fred is creative. | contradiction | (((creative(paul)|brave(paul)))<=>(?[X]:((old(X)<~>kind(X)))))&
(![X]:(tall(X)<=>(quiet(X)&~rich(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(((~quiet(paul)<~>patient(paul)))=>((brave(fred)&~kind(fred))))&
((?[X]:((quiet(X)|tall(X))))=>(?[X]:((~brave(X)|humble(X)))))&
(![X]:((tall(X)|happy(X))=>~wise(X)))&
(![X]:((strong(X... | creative(fred) | [
"p1",
"p3",
"p5",
"p6",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2207005536290877636992936
% SZS output start Proof for 2207005536290877636992936
2. ! [X0] : (tall(X0) <=> (~rich(X0) & quiet(X0))) [input p1]
4. (~quiet(paul) <~> patient(paul)) => (~kind(fred) & brave(fred)) [input p3]
6. ! [X0] : ((happy(X0) | tall(X0)) => ~wise(X0)) [input p5]
7. ! [X... | 0 |
If someone is either not patient or not old then alice is either not quiet or quiet and vice versa.
If fred is rich then lucy is humble or not funny.
Everyone who is both patient and quiet is not happy.
Everyone who is either strong or not humble is both not brave and not generous.
If someone is either not curious or n... | Lucy is not wise. | entailment | ((?[X]:((~patient(X)<~>~old(X))))<=>((~quiet(alice)<~>quiet(alice))))&
((rich(fred))=>((humble(lucy)|~funny(lucy))))&
(![X]:((patient(X)&quiet(X))=>~happy(X)))&
(![X]:((strong(X)<~>~humble(X))=>(~brave(X)&~generous(X))))&
((?[X]:((~curious(X)<~>~brave(X))))<=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~wise(X)&quiet(X... | ~wise(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4156180523750986182336171
% SZS output start Proof for 4156180523750986182336171
7. ! [X0] : ((~funny(X0) & ~wise(X0)) <=> (wise(X0) | ~patient(X0))) [input p6]
24. wise(lucy) [input hypothesis]
52. ! [X0] : (((~funny(X0) & ~wise(X0)) | (~wise(X0) & patient(X0))) & ((wise(X0) | ~patient(X... | 0 |
Everyone who is not humble is either brave or not wise and vice versa. Everyone who is both tall and not creative is both not calm and not funny and vice versa. If mary is either quiet or rich then someone is kind and vice versa. If someone is creative or not tall then someone is funny or old. If mary is not patient th... | Paul is not quiet. | neutral | (![X]:(~humble(X)<=>(brave(X)<~>~wise(X))))&
(![X]:((tall(X)&~creative(X))<=>(~calm(X)&~funny(X))))&
(((quiet(mary)<~>rich(mary)))<=>(?[X]:(kind(X))))&
((?[X]:((creative(X)|~tall(X))))=>(?[X]:((funny(X)|old(X)))))&
((~patient(mary))<=>((~creative(fred)&~happy(fred))))&
(![X]:(~quiet(X)<=>(creative(X)&~kind(X))))&
(![X]... | ~quiet(paul) | [] | null | 0 |
Everyone who is not strong is either tall or not old. Everyone who is either calm or not brave is either strong or brave. Everyone who is both not patient and not old is not old or curious and vice versa. Everyone who is strong or not happy is not quiet or tall. If someone is both not strong and not curious then someon... | Paul is not calm. | neutral | (![X]:(~strong(X)=>(tall(X)<~>~old(X))))&
(![X]:((calm(X)<~>~brave(X))=>(strong(X)<~>brave(X))))&
(![X]:((~patient(X)&~old(X))<=>(~old(X)|curious(X))))&
(![X]:((strong(X)|~happy(X))=>(~quiet(X)|tall(X))))&
((?[X]:((~strong(X)&~curious(X))))=>(?[X]:((~wise(X)|rich(X)))))&
(((~tall(mary)|~funny(mary)))=>(?[X]:((kind(X)|~... | ~calm(paul) | [] | null | 0 |
If paul is calm or rich then john is either kind or not patient and vice versa. Everyone who is not creative or not quiet is not brave. If someone is not tall or not kind then someone is not kind or creative. If someone is not funny then fred is not kind or strong. If someone is both not patient and patient then someon... | John is not creative. | neutral | (((calm(paul)|rich(paul)))<=>((kind(john)<~>~patient(john))))&
(![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(... | ~creative(john) | [] | null | 0 |
Everyone who is generous or humble is both wise and strong and vice versa.
Everyone who is either not humble or not kind is both kind and generous and vice versa.
If someone is not patient or kind then someone is either patient or not kind.
If susan is both quiet and not tall then someone is not curious and vice versa.... | Fred is quiet. | neutral | (![X]:((generous(X)|humble(X))<=>(wise(X)&strong(X))))&
(![X]:((~humble(X)<~>~kind(X))<=>(kind(X)&generous(X))))&
((?[X]:((~patient(X)|kind(X))))=>(?[X]:((patient(X)<~>~kind(X)))))&
(((quiet(susan)&~tall(susan)))<=>(?[X]:(~curious(X))))&
(![X]:((~patient(X)|~funny(X))<=>(~old(X)&happy(X))))&
(![X]:((~generous(X)|~kind(... | quiet(fred) | [] | null | 0 |
Everyone who is both creative and rich is creative or strong and vice versa.
If someone is either rich or happy then someone is both not funny and not curious and vice versa.
If someone is either not humble or not generous then someone is either brave or strong.
Everyone who is not rich or brave is both not tall and st... | Mary is creative. | entailment | (![X]:((creative(X)&rich(X))<=>(creative(X)|strong(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((~funny(X)&~curious(X)))))&
((?[X]:((~humble(X)<~>~generous(X))))=>(?[X]:((brave(X)<~>strong(X)))))&
(![X]:((~rich(X)|brave(X))=>(~tall(X)&strong(X))))&
(((brave(mary)&~creative(mary)))<=>(?[X]:((funny(X)|~quiet(X)))))&
(!... | creative(mary) | [
"p0",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9075856881788302095345099
% SZS output start Proof for 9075856881788302095345099
1. ! [X0] : ((rich(X0) & creative(X0)) <=> (strong(X0) | creative(X0))) [input p0]
4. ! [X0] : ((brave(X0) | ~rich(X0)) => (strong(X0) & ~tall(X0))) [input p3]
9. ! [X0] : (~brave(X0) => ~rich(X0)) [input p8]... | 0 |
If lucy is either not patient or strong then someone is not humble.
Everyone who is not patient or kind is either generous or humble.
Everyone who is both humble and wise is not happy or rich.
If someone is both kind and not tall then fred is not humble or humble.
Everyone who is quiet is not calm or not funny.
If some... | Lucy is not strong. | neutral | (((~patient(lucy)<~>strong(lucy)))=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|kind(X))=>(generous(X)<~>humble(X))))&
(![X]:((humble(X)&wise(X))=>(~happy(X)|rich(X))))&
((?[X]:((kind(X)&~tall(X))))=>((~humble(fred)|humble(fred))))&
(![X]:(quiet(X)=>(~calm(X)|~funny(X))))&
((?[X]:((humble(X)|~tall(X))))<=>(?[X]:((funny(X... | ~strong(lucy) | [] | null | 0 |
Everyone who is not kind or not quiet is both happy and wise.
If paul is either calm or humble then fred is not funny or strong and vice versa.
Everyone who is happy or not creative is not tall or not old and vice versa.
If lucy is either quiet or not brave then someone is either strong or not creative and vice versa.
... | Paul is not humble. | entailment | (![X]:((~kind(X)|~quiet(X))=>(happy(X)&wise(X))))&
(((calm(paul)<~>humble(paul)))<=>((~funny(fred)|strong(fred))))&
(![X]:((happy(X)|~creative(X))<=>(~tall(X)|~old(X))))&
(((quiet(lucy)<~>~brave(lucy)))<=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:((creative(X)<~>kind(X))=>(humble(X)<~>~rich(X))))&
(![X]:((wise(X)<~>h... | ~humble(paul) | [
"p0",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 625368413653240105770535
% SZS output start Proof for 625368413653240105770535
1. ! [X0] : ((~quiet(X0) | ~kind(X0)) => (wise(X0) & happy(X0))) [input p0]
10. ! [X0] : ((~funny(X0) <~> ~humble(X0)) => (tall(X0) & ~tall(X0))) [input p9]
12. ! [X0] : (happy(X0) <=> (kind(X0) | ~kind(X0))) [... | 0 |
If lucy is not tall or funny then john is both old and funny.
Everyone who is strong or not tall is rich.
If someone is both not wise and curious then mary is either rich or not kind and vice versa.
If someone is either patient or not old then lucy is both not strong and old.
Everyone who is brave is not brave.
Everyon... | John is wise. | contradiction | (((~tall(lucy)|funny(lucy)))=>((old(john)&funny(john))))&
(![X]:((strong(X)|~tall(X))=>rich(X)))&
((?[X]:((~wise(X)&curious(X))))<=>((rich(mary)<~>~kind(mary))))&
((?[X]:((patient(X)<~>~old(X))))=>((~strong(lucy)&old(lucy))))&
(![X]:(brave(X)=>~brave(X)))&
(![X]:(~humble(X)=>(~kind(X)<~>~calm(X))))&
(![X]:((quiet(X)<~>... | wise(john) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7110526504953350218107460
% SZS output start Proof for 7110526504953350218107460
5. ! [X0] : (brave(X0) => ~brave(X0)) [input p4]
13. ! [X0] : ((~generous(X0) | wise(X0)) <=> (brave(X0) & ~calm(X0))) [input p12]
25. wise(john) [input hypothesis]
29. ! [X0] : (~brave(X0) | ~brave(X0)) [enn... | 0 |
Everyone who is both funny and old is either not patient or patient and vice versa. If susan is generous or not humble then someone is either not old or creative and vice versa. If someone is brave then susan is both calm and wise and vice versa. Everyone who is either not calm or not funny is either tall or rich and v... | Alice is not calm. | neutral | (![X]:((funny(X)&old(X))<=>(~patient(X)<~>patient(X))))&
(((generous(susan)|~humble(susan)))<=>(?[X]:((~old(X)<~>creative(X)))))&
((?[X]:(brave(X)))<=>((calm(susan)&wise(susan))))&
(![X]:((~calm(X)<~>~funny(X))<=>(tall(X)<~>rich(X))))&
(![X]:((~old(X)|funny(X))=>(~generous(X)&~happy(X))))&
(((generous(fred)|~funny(fred... | ~calm(alice) | [] | null | 0 |
Everyone who is not brave or not old is both happy and not wise. If someone is happy then someone is both generous and not generous and vice versa. If alice is either kind or not wise then someone is not funny and vice versa. If someone is not curious or not tall then someone is either calm or not calm. Everyone who is... | Mary is happy. | contradiction | (![X]:((~brave(X)|~old(X))=>(happy(X)&~wise(X))))&
((?[X]:(happy(X)))<=>(?[X]:((generous(X)&~generous(X)))))&
(((kind(alice)<~>~wise(alice)))<=>(?[X]:(~funny(X))))&
((?[X]:((~curious(X)|~tall(X))))=>(?[X]:((calm(X)<~>~calm(X)))))&
(![X]:((tall(X)|~brave(X))<=>(patient(X)&~patient(X))))&
(![X]:((happy(X)&~wise(X))<=>(~p... | happy(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8386475337798230989805760
% SZS output start Proof for 8386475337798230989805760
2. ? [X0] : happy(X0) <=> ? [X0] : (~generous(X0) & generous(X0)) [input p1]
22. happy(mary) [input hypothesis]
23. ? [X0] : happy(X0) <=> ? [X1] : (~generous(X1) & generous(X1)) [rectify 2]
40. (? [X0] : hap... | 0 |
Everyone who is both patient and rich is funny and vice versa.
Everyone who is not patient or happy is either calm or creative.
Everyone who is either not humble or not brave is not humble.
If someone is either not creative or kind then fred is both not happy and strong.
If someone is strong or creative then someone is... | Susan is not happy. | neutral | (![X]:((patient(X)&rich(X))<=>funny(X)))&
(![X]:((~patient(X)|happy(X))=>(calm(X)<~>creative(X))))&
(![X]:((~humble(X)<~>~brave(X))=>~humble(X)))&
((?[X]:((~creative(X)<~>kind(X))))=>((~happy(fred)&strong(fred))))&
((?[X]:((strong(X)|creative(X))))<=>(?[X]:(humble(X))))&
(![X]:((generous(X)&wise(X))<=>(creative(X)&~old... | ~happy(susan) | [] | null | 0 |
If someone is generous then someone is quiet. If someone is either tall or not creative then someone is both not curious and brave. If someone is either kind or not curious then lucy is both patient and quiet and vice versa. Everyone who is both not wise and calm is both not happy and not curious and vice versa. If som... | Susan is not kind. | neutral | ((?[X]:(generous(X)))=>(?[X]:(quiet(X))))&
((?[X]:((tall(X)<~>~creative(X))))=>(?[X]:((~curious(X)&brave(X)))))&
((?[X]:((kind(X)<~>~curious(X))))<=>((patient(lucy)&quiet(lucy))))&
(![X]:((~wise(X)&calm(X))<=>(~happy(X)&~curious(X))))&
((?[X]:((creative(X)<~>rich(X))))=>((~tall(susan)&~wise(susan))))&
(![X]:((humble(X)... | ~kind(susan) | [] | null | 0 |
If john is both not creative and happy then fred is either quiet or not curious.
If someone is old or not creative then mary is both not humble and not happy.
Everyone who is either not curious or calm is either not quiet or calm.
If lucy is creative then susan is generous or not generous.
If fred is rich or not creati... | Mary is quiet. | entailment | (((~creative(john)&happy(john)))=>((quiet(fred)<~>~curious(fred))))&
((?[X]:((old(X)|~creative(X))))=>((~humble(mary)&~happy(mary))))&
(![X]:((~curious(X)<~>calm(X))=>(~quiet(X)<~>calm(X))))&
((creative(lucy))=>((generous(susan)|~generous(susan))))&
(((rich(fred)|~creative(fred)))=>((kind(lucy)&happy(lucy))))&
(((brave... | quiet(mary) | [
"p1",
"p2",
"p10",
"p11",
"p14",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 985680596580397584767736
% SZS output start Proof for 985680596580397584767736
2. ? [X0] : (~creative(X0) | old(X0)) => (~happy(mary) & ~humble(mary)) [input p1]
3. ! [X0] : ((~curious(X0) <~> calm(X0)) => (~quiet(X0) <~> calm(X0))) [input p2]
11. ! [X0] : ((~patient(X0) | ~humble(X0)) =>... | 0 |
If mary is both not generous and tall then paul is both happy and not generous.
Everyone who is either not quiet or quiet is generous.
If someone is either tall or rich then someone is both rich and funny and vice versa.
If someone is not funny or humble then john is both not brave and not old.
If mary is either not fu... | John is kind. | entailment | (((~generous(mary)&tall(mary)))=>((happy(paul)&~generous(paul))))&
(![X]:((~quiet(X)<~>quiet(X))=>generous(X)))&
((?[X]:((tall(X)<~>rich(X))))<=>(?[X]:((rich(X)&funny(X)))))&
((?[X]:((~funny(X)|humble(X))))=>((~brave(john)&~old(john))))&
(((~funny(mary)<~>~wise(mary)))<=>(~humble(mary)))&
(![X]:((tall(X)|humble(X))<=>(... | kind(john) | [
"p1",
"p5",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5092449473372617209258035
% SZS output start Proof for 5092449473372617209258035
2. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => generous(X0)) [input p1]
6. ! [X0] : ((humble(X0) | tall(X0)) <=> (~patient(X0) | ~brave(X0))) [input p5]
13. ! [X0] : ((~quiet(X0) | brave(X0)) => (generous(X0) <~>... | 0 |
Everyone who is both not strong and not calm is not quiet or tall and vice versa.
If someone is not patient then someone is not wise and vice versa.
Everyone who is not funny or not happy is either not generous or humble.
Everyone who is both patient and old is both not rich and tall.
Everyone who is either not calm or... | John is tall. | contradiction | (![X]:((~strong(X)&~calm(X))<=>(~quiet(X)|tall(X))))&
((?[X]:(~patient(X)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|~happy(X))=>(~generous(X)<~>humble(X))))&
(![X]:((patient(X)&old(X))=>(~rich(X)&tall(X))))&
(![X]:((~calm(X)<~>~tall(X))=>~rich(X)))&
(![X]:((~humble(X)&humble(X))<=>happy(X)))&
((?[X]:((happy(X)&creative... | tall(john) | [
"p0",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4209770129172911060954365
% SZS output start Proof for 4209770129172911060954365
1. ! [X0] : ((~calm(X0) & ~strong(X0)) <=> (tall(X0) | ~quiet(X0))) [input p0]
15. (curious(john) & ~wise(john)) <=> ? [X0] : (funny(X0) | old(X0)) [input p14]
16. ! [X0] : ((~calm(X0) & curious(X0)) => ~curi... | 0 |
Everyone who is wise is not old.
Everyone who is both not patient and funny is not patient or not quiet and vice versa.
Everyone who is either not funny or not humble is not old and vice versa.
Everyone who is either generous or not strong is curious or wise.
Everyone who is not tall or not kind is either funny or stro... | Lucy is old. | entailment | (![X]:(wise(X)=>~old(X)))&
(![X]:((~patient(X)&funny(X))<=>(~patient(X)|~quiet(X))))&
(![X]:((~funny(X)<~>~humble(X))<=>~old(X)))&
(![X]:((generous(X)<~>~strong(X))=>(curious(X)|wise(X))))&
(![X]:((~tall(X)|~kind(X))=>(funny(X)<~>strong(X))))&
((?[X]:(old(X)))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~humble(X)|~funn... | old(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7119098144146538323863219
% SZS output start Proof for 7119098144146538323863219
2. ! [X0] : ((funny(X0) & ~patient(X0)) <=> (~quiet(X0) | ~patient(X0))) [input p1]
3. ! [X0] : ((~funny(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : ((~kind(X0) | ~tall(X0)) => (funny(X0) <~> st... | 0 |
If alice is not old then mary is either not tall or happy and vice versa.
If someone is either not humble or kind then someone is either not patient or humble.
Everyone who is both not wise and quiet is both not curious and not strong.
Everyone who is not funny or rich is both not old and generous.
If mary is both gene... | John is generous. | entailment | ((~old(alice))<=>((~tall(mary)<~>happy(mary))))&
((?[X]:((~humble(X)<~>kind(X))))=>(?[X]:((~patient(X)<~>humble(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~curious(X)&~strong(X))))&
(![X]:((~funny(X)|rich(X))=>(~old(X)&generous(X))))&
(((generous(mary)&~patient(mary)))=>(?[X]:((~tall(X)|~patient(X)))))&
(![X]:((generous(X)&s... | generous(john) | [
"p3",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 949141696011937357731494
% SZS output start Proof for 949141696011937357731494
4. ! [X0] : ((rich(X0) | ~funny(X0)) => (generous(X0) & ~old(X0))) [input p3]
9. ! [X0] : ((generous(X0) <~> ~funny(X0)) <=> ~happy(X0)) [input p8]
19. ~happy(john) [input p18]
25. ~generous(john) [input hypoth... | 0 |
Everyone who is happy or not generous is old and vice versa. If someone is both wise and not calm then susan is calm and vice versa. Everyone who is both not generous and humble is either not calm or not rich. If john is both funny and not calm then lucy is not strong. If someone is both brave and not patient then some... | Susan is quiet. | neutral | (![X]:((happy(X)|~generous(X))<=>old(X)))&
((?[X]:((wise(X)&~calm(X))))<=>(calm(susan)))&
(![X]:((~generous(X)&humble(X))=>(~calm(X)<~>~rich(X))))&
(((funny(john)&~calm(john)))=>(~strong(lucy)))&
((?[X]:((brave(X)&~patient(X))))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((~creative(X)&quiet(X))=>(~tall(X)<~>~happy(X))))&... | quiet(susan) | [] | null | 0 |
Everyone who is not quiet is not tall or curious.
Everyone who is curious is either not kind or not humble and vice versa.
If john is patient or not strong then fred is not old or not happy and vice versa.
Everyone who is either not rich or generous is calm or not funny and vice versa.
Everyone who is not quiet is not ... | Lucy is not strong. | entailment | (![X]:(~quiet(X)=>(~tall(X)|curious(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>~humble(X))))&
(((patient(john)|~strong(john)))<=>((~old(fred)|~happy(fred))))&
(![X]:((~rich(X)<~>generous(X))<=>(calm(X)|~funny(X))))&
(![X]:(~quiet(X)=>~generous(X)))&
(![X]:((humble(X)|funny(X))<=>(calm(X)|kind(X))))&
(![X]:((~quiet(X)&~crea... | ~strong(lucy) | [
"p4",
"p6",
"p9",
"p12",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3812404535631645652951068
% SZS output start Proof for 3812404535631645652951068
5. ! [X0] : (~quiet(X0) => ~generous(X0)) [input p4]
7. ! [X0] : ((~creative(X0) & ~quiet(X0)) <=> (creative(X0) | ~old(X0))) [input p6]
10. ! [X0] : ((~quiet(X0) & ~curious(X0)) <=> kind(X0)) [input p9]
13. ... | 0 |
If someone is generous then fred is not patient and vice versa.
Everyone who is strong is both curious and patient and vice versa.
Everyone who is not humble is both happy and rich and vice versa.
If alice is not rich or patient then mary is either tall or not humble.
Everyone who is either not humble or not funny is n... | Alice is happy. | neutral | ((?[X]:(generous(X)))<=>(~patient(fred)))&
(![X]:(strong(X)<=>(curious(X)&patient(X))))&
(![X]:(~humble(X)<=>(happy(X)&rich(X))))&
(((~rich(alice)|patient(alice)))=>((tall(mary)<~>~humble(mary))))&
(![X]:((~humble(X)<~>~funny(X))=>(~curious(X)|~tall(X))))&
(((quiet(mary)<~>creative(mary)))=>((~rich(john)&creative(john)... | happy(alice) | [] | null | 0 |
Everyone who is not patient or brave is not generous or generous. If someone is not creative or funny then fred is both patient and not brave. Everyone who is happy is both creative and not calm. Everyone who is either quiet or not calm is kind. Everyone who is not strong or humble is both patient and brave. If someone... | Fred is not creative. | contradiction | (![X]:((~patient(X)|brave(X))=>(~generous(X)|generous(X))))&
((?[X]:((~creative(X)|funny(X))))=>((patient(fred)&~brave(fred))))&
(![X]:(happy(X)=>(creative(X)&~calm(X))))&
(![X]:((quiet(X)<~>~calm(X))=>kind(X)))&
(![X]:((~strong(X)|humble(X))=>(patient(X)&brave(X))))&
((?[X]:(patient(X)))=>(tall(john)))&
(![X]:(~curiou... | ~creative(fred) | [
"p1",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4352094974154277452990804
% SZS output start Proof for 4352094974154277452990804
2. ? [X0] : (funny(X0) | ~creative(X0)) => (~brave(fred) & patient(fred)) [input p1]
5. ! [X0] : ((humble(X0) | ~strong(X0)) => (brave(X0) & patient(X0))) [input p4]
9. ! [X0] : ((~wise(X0) <~> ~humble(X0)) <... | 0 |
Everyone who is either generous or curious is generous or not creative and vice versa.
Everyone who is both not creative and not brave is not creative or curious and vice versa.
Everyone who is curious is not old and vice versa.
If alice is either not tall or kind then someone is not kind and vice versa.
Everyone who i... | Paul is not happy. | neutral | (![X]:((generous(X)<~>curious(X))<=>(generous(X)|~creative(X))))&
(![X]:((~creative(X)&~brave(X))<=>(~creative(X)|curious(X))))&
(![X]:(curious(X)<=>~old(X)))&
(((~tall(alice)<~>kind(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((generous(X)&quiet(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((~kind(X)<~>tall(X))=>(~funny(X)|~curio... | ~happy(paul) | [] | null | 0 |
If someone is both not happy and not kind then someone is rich and vice versa.
If someone is happy or old then john is funny or tall.
If someone is happy or strong then john is funny or humble.
If someone is both happy and curious then paul is curious and vice versa.
Everyone who is either brave or not strong is strong... | John is humble. | entailment | ((?[X]:((~happy(X)&~kind(X))))<=>(?[X]:(rich(X))))&
((?[X]:((happy(X)|old(X))))=>((funny(john)|tall(john))))&
((?[X]:((happy(X)|strong(X))))=>((funny(john)|humble(john))))&
((?[X]:((happy(X)&curious(X))))<=>(curious(paul)))&
(![X]:((brave(X)<~>~strong(X))=>(strong(X)|~humble(X))))&
(![X]:((happy(X)<~>~quiet(X))=>(happy... | humble(john) | [
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1706162307981043471102889
% SZS output start Proof for 1706162307981043471102889
11. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : tall(X0) [input p10]
12. ! [X0] : (happy(X0) <=> (patient(X0) | ~creative(X0))) [input p11]
15. ! [X0] : ((~tall(X0) & strong(X0)) <=> (~strong(X0) | s... | 0 |
Everyone who is both old and not creative is both rich and generous and vice versa. Everyone who is not patient or not happy is funny. Everyone who is either not strong or happy is both old and calm. Everyone who is either not brave or tall is both rich and not patient. Everyone who is either strong or not curious is e... | Paul is tall. | entailment | (![X]:((old(X)&~creative(X))<=>(rich(X)&generous(X))))&
(![X]:((~patient(X)|~happy(X))=>funny(X)))&
(![X]:((~strong(X)<~>happy(X))=>(old(X)&calm(X))))&
(![X]:((~brave(X)<~>tall(X))=>(rich(X)&~patient(X))))&
(![X]:((strong(X)<~>~curious(X))<=>(funny(X)<~>quiet(X))))&
(![X]:((~curious(X)&tall(X))<=>(quiet(X)|~creative(X)... | tall(paul) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 871746626406899863505400
% SZS output start Proof for 871746626406899863505400
2. ! [X0] : ((~happy(X0) | ~patient(X0)) => funny(X0)) [input p1]
3. ! [X0] : ((~strong(X0) <~> happy(X0)) => (calm(X0) & old(X0))) [input p2]
4. ! [X0] : ((~brave(X0) <~> tall(X0)) => (~patient(X0) & rich(X0))... | 0 |
Everyone who is rich or humble is tall. If fred is rich then someone is either happy or rich and vice versa. If lucy is rich or old then susan is both happy and rich and vice versa. If someone is either not calm or not rich then susan is both rich and not wise and vice versa. If mary is not tall or not curious then mar... | John is not kind. | contradiction | (![X]:((rich(X)|humble(X))=>tall(X)))&
((rich(fred))<=>(?[X]:((happy(X)<~>rich(X)))))&
(((rich(lucy)|old(lucy)))<=>((happy(susan)&rich(susan))))&
((?[X]:((~calm(X)<~>~rich(X))))<=>((rich(susan)&~wise(susan))))&
(((~tall(mary)|~curious(mary)))<=>((~quiet(mary)&brave(mary))))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:(~cre... | ~kind(john) | [
"p0",
"p7",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8019603131011558307377854
% SZS output start Proof for 8019603131011558307377854
1. ! [X0] : ((humble(X0) | rich(X0)) => tall(X0)) [input p0]
8. ~tall(john) <=> ? [X0] : (curious(X0) <~> ~calm(X0)) [input p7]
9. ! [X0] : ((~wise(X0) | wise(X0)) => (calm(X0) & old(X0))) [input p8]
13. ! [X... | 0 |
If mary is rich or not humble then someone is either not funny or quiet and vice versa.
If lucy is not tall or tall then susan is both not old and not funny and vice versa.
Everyone who is not wise is both quiet and not curious and vice versa.
Everyone who is both not patient and wise is curious or not old.
If someone ... | Paul is humble. | neutral | (((rich(mary)|~humble(mary)))<=>(?[X]:((~funny(X)<~>quiet(X)))))&
(((~tall(lucy)|tall(lucy)))<=>((~old(susan)&~funny(susan))))&
(![X]:(~wise(X)<=>(quiet(X)&~curious(X))))&
(![X]:((~patient(X)&wise(X))=>(curious(X)|~old(X))))&
((?[X]:((~quiet(X)&patient(X))))=>((~happy(john)|~strong(john))))&
((?[X]:((~brave(X)|~happy(X... | humble(paul) | [] | null | 0 |
If someone is either not strong or generous then susan is both generous and happy and vice versa. Everyone who is brave is either not kind or not humble. Everyone who is rich or tall is either generous or not curious. If someone is both not curious and not wise then someone is either not kind or humble and vice versa. ... | Susan is tall. | contradiction | ((?[X]:((~strong(X)<~>generous(X))))<=>((generous(susan)&happy(susan))))&
(![X]:(brave(X)=>(~kind(X)<~>~humble(X))))&
(![X]:((rich(X)|tall(X))=>(generous(X)<~>~curious(X))))&
((?[X]:((~curious(X)&~wise(X))))<=>(?[X]:((~kind(X)<~>humble(X)))))&
(![X]:(tall(X)<=>(curious(X)|~strong(X))))&
(((tall(paul)&kind(paul)))<=>((b... | tall(susan) | [
"p0",
"p2",
"p4",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 627364897939027755587037
% SZS output start Proof for 627364897939027755587037
1. ? [X0] : (~strong(X0) <~> generous(X0)) <=> (happy(susan) & generous(susan)) [input p0]
3. ! [X0] : ((tall(X0) | rich(X0)) => (generous(X0) <~> ~curious(X0))) [input p2]
5. ! [X0] : (tall(X0) <=> (~strong(X0... | 0 |
Everyone who is quiet or not kind is not strong and vice versa. If susan is not curious or not tall then fred is brave or not generous and vice versa. Everyone who is both not happy and curious is curious or not creative and vice versa. If someone is both old and funny then someone is both rich and curious. Everyone wh... | Mary is creative. | entailment | (![X]:((quiet(X)|~kind(X))<=>~strong(X)))&
(((~curious(susan)|~tall(susan)))<=>((brave(fred)|~generous(fred))))&
(![X]:((~happy(X)&curious(X))<=>(curious(X)|~creative(X))))&
((?[X]:((old(X)&funny(X))))=>(?[X]:((rich(X)&curious(X)))))&
(![X]:((~patient(X)|~humble(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((~wise(X)|~patien... | creative(mary) | [
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7532175712561200480868395
% SZS output start Proof for 7532175712561200480868395
6. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (quiet(X0) & wise(X0))) [input p5]
9. (~patient(mary) & wise(mary)) <=> (creative(mary) & ~patient(mary)) [input p8]
13. ! [X0] : ((~creative(X0) & ~wise(X0)) <=> (... | 0 |
If paul is both not quiet and not tall then someone is both humble and curious and vice versa.
If mary is happy or not happy then lucy is either not tall or not curious and vice versa.
Everyone who is either not calm or not old is not calm and vice versa.
If alice is not curious then john is both not kind and not rich ... | Mary is creative. | neutral | (((~quiet(paul)&~tall(paul)))<=>(?[X]:((humble(X)&curious(X)))))&
(((happy(mary)|~happy(mary)))<=>((~tall(lucy)<~>~curious(lucy))))&
(![X]:((~calm(X)<~>~old(X))<=>~calm(X)))&
((~curious(alice))<=>((~kind(john)&~rich(john))))&
(![X]:((~humble(X)<~>~old(X))<=>(happy(X)|~patient(X))))&
(![X]:((happy(X)|~generous(X))=>(~ca... | creative(mary) | [] | null | 0 |
If lucy is both rich and quiet then john is not generous.
Everyone who is not brave is old.
Everyone who is both happy and wise is both old and generous and vice versa.
If someone is rich then someone is not humble or not happy and vice versa.
If paul is strong then someone is not wise or brave and vice versa.
Everyone... | Susan is creative. | contradiction | (((rich(lucy)&quiet(lucy)))=>(~generous(john)))&
(![X]:(~brave(X)=>old(X)))&
(![X]:((happy(X)&wise(X))<=>(old(X)&generous(X))))&
((?[X]:(rich(X)))<=>(?[X]:((~humble(X)|~happy(X)))))&
((strong(paul))<=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:((~generous(X)&~old(X))<=>quiet(X)))&
((?[X]:((~tall(X)&calm(X))))=>(?[X]:((~brave... | creative(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7795498256010436233184798
% SZS output start Proof for 7795498256010436233184798
17. ~creative(susan) [input p16]
25. creative(susan) [input hypothesis]
120. ~creative(susan) [cnf transformation 17]
131. creative(susan) [cnf transformation 25]
310. $false [subsumption resolution 131,120]
... | 0 |
If someone is either strong or not humble then someone is both calm and patient and vice versa. Everyone who is not creative is not generous or not strong and vice versa. Everyone who is calm or not tall is creative and vice versa. Everyone who is not calm or kind is either not calm or creative and vice versa. If someo... | Alice is tall. | entailment | ((?[X]:((strong(X)<~>~humble(X))))<=>(?[X]:((calm(X)&patient(X)))))&
(![X]:(~creative(X)<=>(~generous(X)|~strong(X))))&
(![X]:((calm(X)|~tall(X))<=>creative(X)))&
(![X]:((~calm(X)|kind(X))<=>(~calm(X)<~>creative(X))))&
((?[X]:(~happy(X)))<=>((~tall(lucy)|creative(lucy))))&
(((~old(paul)|~happy(paul)))<=>(?[X]:((~patien... | tall(alice) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p12",
"p13",
"p14",
"p15",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5953569801540726357773112
% SZS output start Proof for 5953569801540726357773112
2. ! [X0] : (~creative(X0) <=> (~strong(X0) | ~generous(X0))) [input p1]
3. ! [X0] : ((~tall(X0) | calm(X0)) <=> creative(X0)) [input p2]
4. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (~calm(X0) <~> creative(X0))) ... | 0 |
If someone is either kind or tall then susan is humble or not generous and vice versa. If someone is not tall or not old then someone is both wise and brave. Everyone who is both rich and curious is not creative or wise. Everyone who is both creative and quiet is either happy or not kind. If someone is either happy or ... | John is wise. | contradiction | ((?[X]:((kind(X)<~>tall(X))))<=>((humble(susan)|~generous(susan))))&
((?[X]:((~tall(X)|~old(X))))=>(?[X]:((wise(X)&brave(X)))))&
(![X]:((rich(X)&curious(X))=>(~creative(X)|wise(X))))&
(![X]:((creative(X)&quiet(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((happy(X)<~>patient(X))))=>(~curious(john)))&
(((~humble(alice)|strong(a... | wise(john) | [
"p8",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2934233198668502822226765
% SZS output start Proof for 2934233198668502822226765
9. ! [X0] : ((~strong(X0) & wise(X0)) <=> (strong(X0) & ~tall(X0))) [input p8]
13. ! [X0] : (strong(X0) => (calm(X0) <~> ~strong(X0))) [input p12]
16. ! [X0] : (old(X0) <=> (~wise(X0) <~> ~tall(X0))) [input p... | 0 |
If susan is both not calm and curious then someone is not brave or not creative and vice versa.
Everyone who is either curious or brave is quiet and vice versa.
If someone is quiet then john is not brave and vice versa.
If alice is either patient or strong then mary is both not creative and not tall.
Everyone who is no... | Mary is not creative. | neutral | (((~calm(susan)&curious(susan)))<=>(?[X]:((~brave(X)|~creative(X)))))&
(![X]:((curious(X)<~>brave(X))<=>quiet(X)))&
((?[X]:(quiet(X)))<=>(~brave(john)))&
(((patient(alice)<~>strong(alice)))=>((~creative(mary)&~tall(mary))))&
(![X]:(~strong(X)=>(tall(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:(~patient(X))))&
((?[X]:(... | ~creative(mary) | [] | null | 0 |
If someone is not tall or not brave then lucy is rich or kind and vice versa. If mary is both not humble and not tall then mary is not calm or not wise and vice versa. Everyone who is either kind or not wise is curious or not old and vice versa. If someone is not strong then someone is quiet. Everyone who is both not c... | Mary is kind. | entailment | ((?[X]:((~tall(X)|~brave(X))))<=>((rich(lucy)|kind(lucy))))&
(((~humble(mary)&~tall(mary)))<=>((~calm(mary)|~wise(mary))))&
(![X]:((kind(X)<~>~wise(X))<=>(curious(X)|~old(X))))&
((?[X]:(~strong(X)))=>(?[X]:(quiet(X))))&
(![X]:((~curious(X)&quiet(X))<=>~old(X)))&
(![X]:((curious(X)&calm(X))<=>(~calm(X)<~>~old(X))))&
(![... | kind(mary) | [
"p2",
"p4",
"p5",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 698467719801351202197365
% SZS output start Proof for 698467719801351202197365
3. ! [X0] : ((kind(X0) <~> ~wise(X0)) <=> (~old(X0) | curious(X0))) [input p2]
5. ! [X0] : ((quiet(X0) & ~curious(X0)) <=> ~old(X0)) [input p4]
6. ! [X0] : ((calm(X0) & curious(X0)) <=> (~calm(X0) <~> ~old(X0))... | 0 |
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