premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not brave is not calm and vice versa.
Everyone who is not rich is both humble and patient.
If paul is both generous and not generous then someone is not rich or kind and vice versa.
Everyone who is either not strong or not calm is patient.
Everyone who is either strong or brave is either not creative or... | Alice is patient. | neutral | (![X]:(~brave(X)<=>~calm(X)))&
(![X]:(~rich(X)=>(humble(X)&patient(X))))&
(((generous(paul)&~generous(paul)))<=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:((~strong(X)<~>~calm(X))=>patient(X)))&
(![X]:((strong(X)<~>brave(X))=>(~creative(X)<~>humble(X))))&
((rich(mary))<=>((~patient(alice)|~happy(alice))))&
(![X]:((creative(X)... | patient(alice) | [] | null | 0 |
If paul is not quiet then fred is strong or not kind. If someone is both not humble and patient then someone is both not patient and not strong. Everyone who is not brave is not calm and vice versa. Everyone who is both not funny and not quiet is not calm. Everyone who is either wise or patient is both funny and not cu... | Lucy is quiet. | neutral | ((~quiet(paul))=>((strong(fred)|~kind(fred))))&
((?[X]:((~humble(X)&patient(X))))=>(?[X]:((~patient(X)&~strong(X)))))&
(![X]:(~brave(X)<=>~calm(X)))&
(![X]:((~funny(X)&~quiet(X))=>~calm(X)))&
(![X]:((wise(X)<~>patient(X))=>(funny(X)&~curious(X))))&
(![X]:((~wise(X)|~calm(X))<=>~wise(X)))&
(![X]:((~humble(X)<~>old(X))<=... | quiet(lucy) | [] | null | 0 |
If someone is either not curious or not wise then alice is not old and vice versa.
If susan is generous then someone is not tall or rich.
Everyone who is both not patient and not creative is brave and vice versa.
Everyone who is both not funny and funny is not curious or not tall and vice versa.
If someone is creative ... | Lucy is wise. | contradiction | ((?[X]:((~curious(X)<~>~wise(X))))<=>(~old(alice)))&
((generous(susan))=>(?[X]:((~tall(X)|rich(X)))))&
(![X]:((~patient(X)&~creative(X))<=>brave(X)))&
(![X]:((~funny(X)&funny(X))<=>(~curious(X)|~tall(X))))&
((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((patient(X)<~>~quiet(X)))))&
(((calm(lucy)&funny(lucy)))<=>((rich(ma... | wise(lucy) | [
"p2",
"p3",
"p5",
"p7",
"p8",
"p9",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 951918867106833306175415
% SZS output start Proof for 951918867106833306175415
3. ! [X0] : ((~creative(X0) & ~patient(X0)) <=> brave(X0)) [input p2]
4. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (~tall(X0) | ~curious(X0))) [input p3]
6. (funny(lucy) & calm(lucy)) <=> (generous(mary) & rich(ma... | 0 |
Everyone who is both curious and quiet is not tall or happy and vice versa. If lucy is humble then lucy is either not kind or not funny and vice versa. Everyone who is not rich is either not creative or generous and vice versa. If someone is either kind or rich then someone is either not strong or happy and vice versa.... | John is tall. | entailment | (![X]:((curious(X)&quiet(X))<=>(~tall(X)|happy(X))))&
((humble(lucy))<=>((~kind(lucy)<~>~funny(lucy))))&
(![X]:(~rich(X)<=>(~creative(X)<~>generous(X))))&
((?[X]:((kind(X)<~>rich(X))))<=>(?[X]:((~strong(X)<~>happy(X)))))&
(((rich(john)<~>calm(john)))<=>(?[X]:((~calm(X)<~>happy(X)))))&
(((kind(fred)&~patient(fred)))=>(?... | tall(john) | [
"p0",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5593137275233179226348751
% SZS output start Proof for 5593137275233179226348751
1. ! [X0] : ((quiet(X0) & curious(X0)) <=> (happy(X0) | ~tall(X0))) [input p0]
7. ! [X0] : ((quiet(X0) | old(X0)) <=> (~curious(X0) & creative(X0))) [input p6]
20. generous(john) & old(john) [input p19]
25. ~... | 0 |
Everyone who is both brave and calm is not curious or tall. Everyone who is not old is either not generous or old. Everyone who is curious is brave. Everyone who is not happy or not creative is old or generous and vice versa. Everyone who is both not curious and not creative is quiet or kind. If someone is tall or gene... | Mary is rich. | entailment | (![X]:((brave(X)&calm(X))=>(~curious(X)|tall(X))))&
(![X]:(~old(X)=>(~generous(X)<~>old(X))))&
(![X]:(curious(X)=>brave(X)))&
(![X]:((~happy(X)|~creative(X))<=>(old(X)|generous(X))))&
(![X]:((~curious(X)&~creative(X))=>(quiet(X)|kind(X))))&
((?[X]:((tall(X)|generous(X))))<=>(?[X]:((~patient(X)&humble(X)))))&
(![X]:((~q... | rich(mary) | [
"p2",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7056496343826975244613522
% SZS output start Proof for 7056496343826975244613522
3. ! [X0] : (curious(X0) => brave(X0)) [input p2]
16. ! [X0] : ((rich(X0) & ~tall(X0)) <=> (~curious(X0) | calm(X0))) [input p15]
17. patient(mary) & ~brave(mary) [input p16]
24. ~rich(mary) [input hypothesis... | 0 |
If paul is both quiet and not tall then someone is both happy and not brave and vice versa. Everyone who is either not patient or curious is both old and rich. Everyone who is both not humble and not patient is both strong and kind. If paul is both not patient and not humble then fred is both not happy and not wise. Ev... | Lucy is not creative. | neutral | (((quiet(paul)&~tall(paul)))<=>(?[X]:((happy(X)&~brave(X)))))&
(![X]:((~patient(X)<~>curious(X))=>(old(X)&rich(X))))&
(![X]:((~humble(X)&~patient(X))=>(strong(X)&kind(X))))&
(((~patient(paul)&~humble(paul)))=>((~happy(fred)&~wise(fred))))&
(![X]:((tall(X)<~>wise(X))=>(~tall(X)&calm(X))))&
(((funny(paul)&~kind(paul)))<=... | ~creative(lucy) | [] | null | 0 |
Everyone who is not tall is kind or strong.
If lucy is not curious or not calm then lucy is generous and vice versa.
If someone is strong then someone is either generous or not wise.
Everyone who is either not funny or tall is both not calm and creative and vice versa.
If paul is either wise or humble then alice is str... | Alice is rich. | neutral | (![X]:(~tall(X)=>(kind(X)|strong(X))))&
(((~curious(lucy)|~calm(lucy)))<=>(generous(lucy)))&
((?[X]:(strong(X)))=>(?[X]:((generous(X)<~>~wise(X)))))&
(![X]:((~funny(X)<~>tall(X))<=>(~calm(X)&creative(X))))&
(((wise(paul)<~>humble(paul)))<=>((strong(alice)|rich(alice))))&
((?[X]:(~calm(X)))=>(?[X]:(~quiet(X))))&
(((gene... | rich(alice) | [] | null | 0 |
If someone is not generous then lucy is humble and vice versa. Everyone who is not humble or creative is creative or wise and vice versa. Everyone who is either old or strong is both not quiet and not curious and vice versa. If alice is creative or tall then fred is both not creative and happy and vice versa. If mary i... | Susan is not quiet. | neutral | ((?[X]:(~generous(X)))<=>(humble(lucy)))&
(![X]:((~humble(X)|creative(X))<=>(creative(X)|wise(X))))&
(![X]:((old(X)<~>strong(X))<=>(~quiet(X)&~curious(X))))&
(((creative(alice)|tall(alice)))<=>((~creative(fred)&happy(fred))))&
(((creative(mary)<~>old(mary)))=>(?[X]:(patient(X))))&
(![X]:((~patient(X)|~funny(X))=>(gener... | ~quiet(susan) | [] | null | 0 |
If lucy is either generous or rich then alice is both not generous and curious. If paul is both humble and not calm then someone is either not patient or not humble. If alice is both not creative and not patient then someone is either brave or wise and vice versa. Everyone who is either wise or not rich is patient. Eve... | John is not brave. | neutral | (((generous(lucy)<~>rich(lucy)))=>((~generous(alice)&curious(alice))))&
(((humble(paul)&~calm(paul)))=>(?[X]:((~patient(X)<~>~humble(X)))))&
(((~creative(alice)&~patient(alice)))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:((wise(X)<~>~rich(X))=>patient(X)))&
(![X]:((~tall(X)&wise(X))=>(curious(X)<~>creative(X))))&
(![X]:(... | ~brave(john) | [] | null | 0 |
Everyone who is either not happy or curious is either rich or not curious and vice versa.
Everyone who is not quiet is generous or not generous.
If alice is rich or not patient then someone is not funny or not patient and vice versa.
Everyone who is not strong or creative is wise and vice versa.
Everyone who is creativ... | Alice is brave. | entailment | (![X]:((~happy(X)<~>curious(X))<=>(rich(X)<~>~curious(X))))&
(![X]:(~quiet(X)=>(generous(X)|~generous(X))))&
(((rich(alice)|~patient(alice)))<=>(?[X]:((~funny(X)|~patient(X)))))&
(![X]:((~strong(X)|creative(X))<=>wise(X)))&
(![X]:(creative(X)=>~old(X)))&
(((quiet(fred)|~funny(fred)))=>((wise(alice)&~happy(alice))))&
(!... | brave(alice) | [
"p0",
"p3",
"p7",
"p9",
"p10",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5683565001407623442974850
% SZS output start Proof for 5683565001407623442974850
1. ! [X0] : ((~happy(X0) <~> curious(X0)) <=> (rich(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : ((creative(X0) | ~strong(X0)) <=> wise(X0)) [input p3]
8. ! [X0] : (~brave(X0) <=> ~wise(X0)) [input p7]
10. !... | 0 |
Everyone who is both tall and not creative is not strong.
If someone is both not old and curious then someone is not funny or not quiet.
Everyone who is either not funny or not rich is curious or not tall.
Everyone who is not tall is generous or not funny and vice versa.
Everyone who is either strong or funny is either... | Lucy is not tall. | entailment | (![X]:((tall(X)&~creative(X))=>~strong(X)))&
((?[X]:((~old(X)&curious(X))))=>(?[X]:((~funny(X)|~quiet(X)))))&
(![X]:((~funny(X)<~>~rich(X))=>(curious(X)|~tall(X))))&
(![X]:(~tall(X)<=>(generous(X)|~funny(X))))&
(![X]:((strong(X)<~>funny(X))<=>(~old(X)<~>funny(X))))&
((wise(john))=>((humble(lucy)<~>rich(lucy))))&
(![X]:... | ~tall(lucy) | [
"p3",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4943751731173822655497136
% SZS output start Proof for 4943751731173822655497136
4. ! [X0] : (~tall(X0) <=> (~funny(X0) | generous(X0))) [input p3]
16. ! [X0] : (~generous(X0) => (calm(X0) | generous(X0))) [input p15]
20. wise(lucy) & ~calm(lucy) [input p19]
25. tall(lucy) [input hypothes... | 0 |
Everyone who is both not patient and rich is calm or patient and vice versa.
If lucy is not old or strong then fred is not tall or creative and vice versa.
Everyone who is either calm or not creative is not old or generous.
Everyone who is brave or tall is patient and vice versa.
If mary is both not kind and kind then ... | Alice is happy. | entailment | (![X]:((~patient(X)&rich(X))<=>(calm(X)|patient(X))))&
(((~old(lucy)|strong(lucy)))<=>((~tall(fred)|creative(fred))))&
(![X]:((calm(X)<~>~creative(X))=>(~old(X)|generous(X))))&
(![X]:((brave(X)|tall(X))<=>patient(X)))&
(((~kind(mary)&kind(mary)))=>(?[X]:((quiet(X)&calm(X)))))&
(((kind(susan)|calm(susan)))=>((~generous(... | happy(alice) | [
"p0",
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3233760771410436014576646
% SZS output start Proof for 3233760771410436014576646
1. ! [X0] : ((rich(X0) & ~patient(X0)) <=> (patient(X0) | calm(X0))) [input p0]
4. ! [X0] : ((tall(X0) | brave(X0)) <=> patient(X0)) [input p3]
10. ? [X0] : (~happy(X0) | ~curious(X0)) <=> ? [X0] : (tall(X0) ... | 0 |
If alice is either not old or curious then someone is either not curious or humble and vice versa. If someone is wise then paul is happy. If alice is both not tall and rich then fred is either old or brave. Everyone who is not quiet or not creative is both not rich and kind. If someone is not humble or funny then fred ... | John is rich. | contradiction | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>humble(X)))))&
((?[X]:(wise(X)))=>(happy(paul)))&
(((~tall(alice)&rich(alice)))=>((old(fred)<~>brave(fred))))&
(![X]:((~quiet(X)|~creative(X))=>(~rich(X)&kind(X))))&
((?[X]:((~humble(X)|funny(X))))=>((~curious(fred)|~funny(fred))))&
(![X]:((~humble(X)&old(X))<=>... | rich(john) | [
"p1",
"p3",
"p5",
"p7",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2201969151906819535420942
% SZS output start Proof for 2201969151906819535420942
2. ? [X0] : wise(X0) => happy(paul) [input p1]
4. ! [X0] : ((~creative(X0) | ~quiet(X0)) => (kind(X0) & ~rich(X0))) [input p3]
6. ! [X0] : ((old(X0) & ~humble(X0)) <=> quiet(X0)) [input p5]
8. ! [X0] : ((~cur... | 0 |
Everyone who is brave is not funny or creative. Everyone who is happy or tall is either not funny or happy. If john is either not old or not patient then someone is quiet and vice versa. If someone is both not generous and happy then someone is not funny or creative and vice versa. Everyone who is not happy is either n... | John is funny. | entailment | (![X]:(brave(X)=>(~funny(X)|creative(X))))&
(![X]:((happy(X)|tall(X))=>(~funny(X)<~>happy(X))))&
(((~old(john)<~>~patient(john)))<=>(?[X]:(quiet(X))))&
((?[X]:((~generous(X)&happy(X))))<=>(?[X]:((~funny(X)|creative(X)))))&
(![X]:(~happy(X)<=>(~generous(X)<~>~old(X))))&
(((~brave(john)&~quiet(john)))=>(?[X]:((brave(X)&~... | funny(john) | [
"p1",
"p2",
"p4",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5711450746168784704476597
% SZS output start Proof for 5711450746168784704476597
2. ! [X0] : ((tall(X0) | happy(X0)) => (~funny(X0) <~> happy(X0))) [input p1]
3. (~old(john) <~> ~patient(john)) <=> ? [X0] : quiet(X0) [input p2]
5. ! [X0] : (~happy(X0) <=> (~generous(X0) <~> ~old(X0))) [in... | 0 |
If paul is either not happy or humble then lucy is kind and vice versa.
Everyone who is quiet or generous is humble or quiet and vice versa.
Everyone who is either rich or happy is not tall.
If john is patient then john is not old and vice versa.
Everyone who is not brave or not tall is either funny or patient and vice... | Susan is tall. | neutral | (((~happy(paul)<~>humble(paul)))<=>(kind(lucy)))&
(![X]:((quiet(X)|generous(X))<=>(humble(X)|quiet(X))))&
(![X]:((rich(X)<~>happy(X))=>~tall(X)))&
((patient(john))<=>(~old(john)))&
(![X]:((~brave(X)|~tall(X))<=>(funny(X)<~>patient(X))))&
(![X]:((calm(X)&curious(X))<=>(~wise(X)<~>~quiet(X))))&
(((~patient(fred)<~>kind(f... | tall(susan) | [] | null | 0 |
If susan is either wise or humble then someone is not curious or brave.
Everyone who is both happy and funny is kind or not patient and vice versa.
Everyone who is either curious or rich is old or funny.
If someone is not strong then mary is both not funny and not happy.
If alice is not funny or funny then paul is not ... | Paul is not tall. | entailment | (((wise(susan)<~>humble(susan)))=>(?[X]:((~curious(X)|brave(X)))))&
(![X]:((happy(X)&funny(X))<=>(kind(X)|~patient(X))))&
(![X]:((curious(X)<~>rich(X))=>(old(X)|funny(X))))&
((?[X]:(~strong(X)))=>((~funny(mary)&~happy(mary))))&
(((~funny(alice)|funny(alice)))=>(~generous(paul)))&
(![X]:(~happy(X)<=>(tall(X)<~>~creative... | ~tall(paul) | [
"p1",
"p4",
"p5",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8710026537904499461987812
% SZS output start Proof for 8710026537904499461987812
2. ! [X0] : ((funny(X0) & happy(X0)) <=> (~patient(X0) | kind(X0))) [input p1]
5. (funny(alice) | ~funny(alice)) => ~generous(paul) [input p4]
6. ! [X0] : (~happy(X0) <=> (tall(X0) <~> ~creative(X0))) [input ... | 0 |
If alice is curious or generous then paul is not rich or not wise and vice versa. Everyone who is either not old or generous is both not old and not quiet and vice versa. Everyone who is both rich and not curious is curious and vice versa. If paul is both not happy and rich then someone is either generous or not rich. ... | Paul is not rich. | entailment | (((curious(alice)|generous(alice)))<=>((~rich(paul)|~wise(paul))))&
(![X]:((~old(X)<~>generous(X))<=>(~old(X)&~quiet(X))))&
(![X]:((rich(X)&~curious(X))<=>curious(X)))&
(((~happy(paul)&rich(paul)))=>(?[X]:((generous(X)<~>~rich(X)))))&
(![X]:(old(X)<=>wise(X)))&
(![X]:((~funny(X)|generous(X))=>(~happy(X)&~creative(X))))... | ~rich(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 727365098402785086448289
% SZS output start Proof for 727365098402785086448289
3. ! [X0] : ((~curious(X0) & rich(X0)) <=> curious(X0)) [input p2]
18. rich(paul) [input hypothesis]
31. ! [X0] : (((~curious(X0) & rich(X0)) | ~curious(X0)) & (curious(X0) | (curious(X0) | ~rich(X0)))) [nnf tr... | 0 |
If susan is both calm and not funny then lucy is not funny or funny and vice versa. Everyone who is either rich or not funny is not humble or creative and vice versa. Everyone who is not rich or tall is brave and vice versa. If someone is both not happy and strong then someone is old and vice versa. If someone is not g... | Paul is wise. | contradiction | (((calm(susan)&~funny(susan)))<=>((~funny(lucy)|funny(lucy))))&
(![X]:((rich(X)<~>~funny(X))<=>(~humble(X)|creative(X))))&
(![X]:((~rich(X)|tall(X))<=>brave(X)))&
((?[X]:((~happy(X)&strong(X))))<=>(?[X]:(old(X))))&
((?[X]:(~generous(X)))<=>((~rich(susan)|~old(susan))))&
(![X]:((calm(X)<~>~generous(X))=>rich(X)))&
((bra... | wise(paul) | [
"p2",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3147921560875858680561061
% SZS output start Proof for 3147921560875858680561061
3. ! [X0] : ((tall(X0) | ~rich(X0)) <=> brave(X0)) [input p2]
11. ! [X0] : (tall(X0) <=> (~wise(X0) & creative(X0))) [input p10]
13. ! [X0] : ((~brave(X0) <~> ~rich(X0)) => ~wise(X0)) [input p12]
25. wise(pau... | 0 |
If john is rich or not humble then mary is either happy or creative and vice versa.
If alice is either not old or not funny then paul is both wise and not creative.
Everyone who is not calm is either rich or not calm.
If someone is calm or not generous then fred is not brave or happy.
Everyone who is rich or not strong... | Paul is not kind. | neutral | (((rich(john)|~humble(john)))<=>((happy(mary)<~>creative(mary))))&
(((~old(alice)<~>~funny(alice)))=>((wise(paul)&~creative(paul))))&
(![X]:(~calm(X)=>(rich(X)<~>~calm(X))))&
((?[X]:((calm(X)|~generous(X))))=>((~brave(fred)|happy(fred))))&
(![X]:((rich(X)|~strong(X))<=>(kind(X)<~>generous(X))))&
((?[X]:((old(X)<~>wise(... | ~kind(paul) | [] | null | 0 |
If paul is either strong or curious then someone is either not curious or not tall and vice versa.
Everyone who is both funny and old is either strong or not old and vice versa.
Everyone who is both generous and rich is both not happy and not humble and vice versa.
Everyone who is either tall or not quiet is not kind.
... | Paul is humble. | contradiction | (((strong(paul)<~>curious(paul)))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![X]:((funny(X)&old(X))<=>(strong(X)<~>~old(X))))&
(![X]:((generous(X)&rich(X))<=>(~happy(X)&~humble(X))))&
(![X]:((tall(X)<~>~quiet(X))=>~kind(X)))&
((funny(fred))=>((curious(mary)<~>~strong(mary))))&
(((rich(susan)&generous(susan)))=>(?[X]:(pati... | humble(paul) | [
"p0",
"p1",
"p2",
"p9",
"p11",
"p16",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 624163560837005089926770
% SZS output start Proof for 624163560837005089926770
1. (strong(paul) <~> curious(paul)) <=> ? [X0] : (~curious(X0) <~> ~tall(X0)) [input p0]
2. ! [X0] : ((old(X0) & funny(X0)) <=> (strong(X0) <~> ~old(X0))) [input p1]
3. ! [X0] : ((rich(X0) & generous(X0)) <=> (... | 0 |
If lucy is strong then susan is not kind and vice versa.
If fred is both strong and not curious then lucy is quiet.
Everyone who is either quiet or generous is either happy or rich.
If someone is not old then lucy is both creative and strong and vice versa.
If someone is not rich then john is either quiet or kind.
If l... | Mary is not old. | contradiction | ((strong(lucy))<=>(~kind(susan)))&
(((strong(fred)&~curious(fred)))=>(quiet(lucy)))&
(![X]:((quiet(X)<~>generous(X))=>(happy(X)<~>rich(X))))&
((?[X]:(~old(X)))<=>((creative(lucy)&strong(lucy))))&
((?[X]:(~rich(X)))=>((quiet(john)<~>kind(john))))&
(((funny(lucy)|~rich(lucy)))<=>(?[X]:((~funny(X)|tall(X)))))&
((old(lucy)... | ~old(mary) | [
"p0",
"p3",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6954701539023593379217799
% SZS output start Proof for 6954701539023593379217799
1. strong(lucy) <=> ~kind(susan) [input p0]
4. ? [X0] : ~old(X0) <=> (strong(lucy) & creative(lucy)) [input p3]
13. ! [X0] : (patient(X0) => (generous(X0) & kind(X0))) [input p12]
21. patient(susan) [input p2... | 0 |
If someone is humble or not funny then alice is creative or not generous and vice versa.
If someone is either tall or patient then mary is rich or not quiet.
If john is either rich or kind then someone is not old or curious and vice versa.
Everyone who is not generous or not humble is both humble and old and vice versa... | Paul is calm. | entailment | ((?[X]:((humble(X)|~funny(X))))<=>((creative(alice)|~generous(alice))))&
((?[X]:((tall(X)<~>patient(X))))=>((rich(mary)|~quiet(mary))))&
(((rich(john)<~>kind(john)))<=>(?[X]:((~old(X)|curious(X)))))&
(![X]:((~generous(X)|~humble(X))<=>(humble(X)&old(X))))&
(![X]:((happy(X)&~brave(X))<=>(calm(X)&tall(X))))&
((?[X]:(~old... | calm(paul) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4687274499538948197232102
% SZS output start Proof for 4687274499538948197232102
7. ! [X0] : (~calm(X0) <=> (old(X0) & ~old(X0))) [input p6]
25. ~calm(paul) [input hypothesis]
53. ! [X0] : ((~calm(X0) | (~old(X0) | old(X0))) & ((old(X0) & ~old(X0)) | calm(X0))) [nnf transformation 7]
54. ... | 0 |
Everyone who is both happy and not happy is either not funny or tall. If fred is either not creative or humble then someone is either not generous or strong. If john is both not generous and humble then someone is curious. If someone is either quiet or not happy then someone is either not brave or brave. If susan is no... | Lucy is curious. | contradiction | (![X]:((happy(X)&~happy(X))=>(~funny(X)<~>tall(X))))&
(((~creative(fred)<~>humble(fred)))=>(?[X]:((~generous(X)<~>strong(X)))))&
(((~generous(john)&humble(john)))=>(?[X]:(curious(X))))&
((?[X]:((quiet(X)<~>~happy(X))))=>(?[X]:((~brave(X)<~>brave(X)))))&
((~happy(susan))=>((~calm(lucy)<~>old(lucy))))&
(![X]:(curious(X)<... | curious(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2709012729761220729635790
% SZS output start Proof for 2709012729761220729635790
10. ! [X0] : (wise(X0) <=> (~wise(X0) <~> ~curious(X0))) [input p9]
22. curious(lucy) [input hypothesis]
52. ! [X0] : ((wise(X0) | ((~wise(X0) | curious(X0)) & (~curious(X0) | wise(X0)))) & (((curious(X0) | w... | 0 |
If alice is either not strong or kind then lucy is strong.
Everyone who is both not rich and not calm is not kind or calm and vice versa.
Everyone who is curious is generous or not curious and vice versa.
If paul is both not kind and generous then someone is generous and vice versa.
If someone is strong or wise then so... | Susan is not funny. | contradiction | (((~strong(alice)<~>kind(alice)))=>(strong(lucy)))&
(![X]:((~rich(X)&~calm(X))<=>(~kind(X)|calm(X))))&
(![X]:(curious(X)<=>(generous(X)|~curious(X))))&
(((~kind(paul)&generous(paul)))<=>(?[X]:(generous(X))))&
((?[X]:((strong(X)|wise(X))))<=>(?[X]:((~kind(X)|rich(X)))))&
(![X]:((~quiet(X)<~>~kind(X))<=>(~humble(X)<~>bra... | ~funny(susan) | [
"p2",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3709330420993747745666162
% SZS output start Proof for 3709330420993747745666162
3. ! [X0] : (curious(X0) <=> (~curious(X0) | generous(X0))) [input p2]
14. ! [X0] : ((~happy(X0) <~> funny(X0)) <=> ~generous(X0)) [input p13]
16. (happy(susan) | kind(susan)) => (funny(susan) & ~generous(sus... | 0 |
Everyone who is not patient or wise is both old and strong.
Everyone who is either calm or curious is old and vice versa.
If someone is old then mary is both wise and not old and vice versa.
Everyone who is either rich or generous is either not happy or tall and vice versa.
If someone is either curious or not creative ... | Susan is not curious. | contradiction | (![X]:((~patient(X)|wise(X))=>(old(X)&strong(X))))&
(![X]:((calm(X)<~>curious(X))<=>old(X)))&
((?[X]:(old(X)))<=>((wise(mary)&~old(mary))))&
(![X]:((rich(X)<~>generous(X))<=>(~happy(X)<~>tall(X))))&
((?[X]:((curious(X)<~>~creative(X))))<=>(?[X]:(~curious(X))))&
(![X]:(happy(X)=>(~calm(X)|~curious(X))))&
(((kind(lucy)|c... | ~curious(susan) | [
"p0",
"p1",
"p2",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5084908042059476175407676
% SZS output start Proof for 5084908042059476175407676
1. ! [X0] : ((wise(X0) | ~patient(X0)) => (strong(X0) & old(X0))) [input p0]
2. ! [X0] : ((calm(X0) <~> curious(X0)) <=> old(X0)) [input p1]
3. ? [X0] : old(X0) <=> (~old(mary) & wise(mary)) [input p2]
13. ? ... | 0 |
Everyone who is both not rich and not quiet is either not quiet or patient and vice versa.
If susan is both not wise and rich then someone is brave or calm.
Everyone who is creative is funny or creative and vice versa.
Everyone who is either tall or creative is not wise and vice versa.
If someone is either not happy or... | Alice is rich. | contradiction | (![X]:((~rich(X)&~quiet(X))<=>(~quiet(X)<~>patient(X))))&
(((~wise(susan)&rich(susan)))=>(?[X]:((brave(X)|calm(X)))))&
(![X]:(creative(X)<=>(funny(X)|creative(X))))&
(![X]:((tall(X)<~>creative(X))<=>~wise(X)))&
((?[X]:((~happy(X)<~>funny(X))))=>((kind(alice)&brave(alice))))&
(![X]:((strong(X)<~>~patient(X))=>(~calm(X)<... | rich(alice) | [
"p2",
"p4",
"p6",
"p7",
"p8",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1150246451297907480498836
% SZS output start Proof for 1150246451297907480498836
3. ! [X0] : (creative(X0) <=> (creative(X0) | funny(X0))) [input p2]
5. ? [X0] : (~happy(X0) <~> funny(X0)) => (brave(alice) & kind(alice)) [input p4]
7. ! [X0] : (creative(X0) <=> (quiet(X0) & ~old(X0))) [in... | 0 |
Everyone who is not happy or not curious is either calm or wise.
If someone is either creative or not brave then someone is calm or not generous.
Everyone who is either creative or kind is not old.
Everyone who is generous is either not calm or wise and vice versa.
Everyone who is wise or not humble is not brave or fun... | Lucy is not wise. | entailment | (![X]:((~happy(X)|~curious(X))=>(calm(X)<~>wise(X))))&
((?[X]:((creative(X)<~>~brave(X))))=>(?[X]:((calm(X)|~generous(X)))))&
(![X]:((creative(X)<~>kind(X))=>~old(X)))&
(![X]:(generous(X)<=>(~calm(X)<~>wise(X))))&
(![X]:((wise(X)|~humble(X))<=>(~brave(X)|funny(X))))&
(![X]:((~quiet(X)|wise(X))<=>(calm(X)&~curious(X))))... | ~wise(lucy) | [
"p0",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1098786155770527380648315
% SZS output start Proof for 1098786155770527380648315
1. ! [X0] : ((~curious(X0) | ~happy(X0)) => (calm(X0) <~> wise(X0))) [input p0]
6. ! [X0] : ((wise(X0) | ~quiet(X0)) <=> (~curious(X0) & calm(X0))) [input p5]
20. wise(lucy) [input hypothesis]
23. ! [X0] : ((... | 0 |
If someone is rich or funny then someone is old or patient and vice versa.
Everyone who is either not creative or not kind is rich or not patient and vice versa.
If someone is not funny then someone is both wise and not humble.
If someone is strong then alice is not rich.
If someone is tall or not patient then someone ... | Alice is not calm. | entailment | ((?[X]:((rich(X)|funny(X))))<=>(?[X]:((old(X)|patient(X)))))&
(![X]:((~creative(X)<~>~kind(X))<=>(rich(X)|~patient(X))))&
((?[X]:(~funny(X)))=>(?[X]:((wise(X)&~humble(X)))))&
((?[X]:(strong(X)))=>(~rich(alice)))&
((?[X]:((tall(X)|~patient(X))))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:(~creative(X)=>(~funny(X)&~qui... | ~calm(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1549591771855673683750648
% SZS output start Proof for 1549591771855673683750648
11. ! [X0] : ((~generous(X0) | calm(X0)) => ~calm(X0)) [input p10]
23. calm(alice) [input hypothesis]
37. ! [X0] : (~calm(X0) | (generous(X0) & ~calm(X0))) [ennf transformation 11]
117. ~calm(X0) | ~calm(X0) ... | 0 |
If someone is quiet then someone is humble and vice versa.
Everyone who is not creative is both funny and not curious and vice versa.
Everyone who is strong is not funny and vice versa.
If someone is rich then paul is not humble or not tall and vice versa.
Everyone who is either not tall or not happy is either not tall... | John is rich. | contradiction | ((?[X]:(quiet(X)))<=>(?[X]:(humble(X))))&
(![X]:(~creative(X)<=>(funny(X)&~curious(X))))&
(![X]:(strong(X)<=>~funny(X)))&
((?[X]:(rich(X)))<=>((~humble(paul)|~tall(paul))))&
(![X]:((~tall(X)<~>~happy(X))=>(~tall(X)<~>~curious(X))))&
((?[X]:((patient(X)<~>humble(X))))=>(?[X]:((~wise(X)|wise(X)))))&
(![X]:((~calm(X)|rich... | rich(john) | [
"p2",
"p6",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7041206991171375845402390
% SZS output start Proof for 7041206991171375845402390
3. ! [X0] : (strong(X0) <=> ~funny(X0)) [input p2]
7. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (~funny(X0) & humble(X0))) [input p6]
8. ! [X0] : ((~wise(X0) | funny(X0)) => tall(X0)) [input p7]
9. ! [X0] : (tall(... | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is both rich and not patient and vice versa.
Everyone who is either wise or kind is happy and vice versa.
If lucy is not tall or not happy then lucy is either strong or not quiet and vice versa.
If mary is not creative then... | Lucy is kind. | contradiction | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((rich(X)&~patient(X)))))&
(![X]:((wise(X)<~>kind(X))<=>happy(X)))&
(((~tall(lucy)|~happy(lucy)))<=>((strong(lucy)<~>~quiet(lucy))))&
((~creative(mary))=>(?[X]:((rich(X)<~>~brave(X)))))&
(![X]:(wise(X)<=>(~funny(X)<~>~strong(X))))&
(![X]:((... | kind(lucy) | [
"p0",
"p2",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6906230401382294967894387
% SZS output start Proof for 6906230401382294967894387
1. ! [X0] : ((kind(X0) & rich(X0)) => generous(X0)) [input p0]
3. ! [X0] : ((wise(X0) <~> kind(X0)) <=> happy(X0)) [input p2]
9. ! [X0] : ((humble(X0) & brave(X0)) <=> (~generous(X0) | ~rich(X0))) [input p8]
... | 0 |
If lucy is not calm or not humble then someone is not happy or not old.
Everyone who is not funny or curious is not strong and vice versa.
Everyone who is not funny is both not tall and not patient.
Everyone who is both not tall and generous is not humble or brave and vice versa.
If someone is both not old and kind the... | Susan is not wise. | entailment | (((~calm(lucy)|~humble(lucy)))=>(?[X]:((~happy(X)|~old(X)))))&
(![X]:((~funny(X)|curious(X))<=>~strong(X)))&
(![X]:(~funny(X)=>(~tall(X)&~patient(X))))&
(![X]:((~tall(X)&generous(X))<=>(~humble(X)|brave(X))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((old(X)|~brave(X)))))&
(![X]:((happy(X)|~strong(X))<=>~calm(X)))&
(![X]:(o... | ~wise(susan) | [
"p3",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4960772807771129702809586
% SZS output start Proof for 4960772807771129702809586
4. ! [X0] : ((generous(X0) & ~tall(X0)) <=> (brave(X0) | ~humble(X0))) [input p3]
12. ? [X0] : (~wise(X0) <~> ~brave(X0)) <=> ~humble(paul) [input p11]
13. ! [X0] : (~quiet(X0) <=> (~tall(X0) <~> ~quiet(X0)))... | 0 |
If alice is either quiet or wise then someone is not kind.
If alice is tall or not humble then someone is both old and not creative.
If john is old or not patient then someone is not kind or kind.
If someone is both not strong and not rich then mary is not creative and vice versa.
If someone is both funny and not patie... | Alice is not patient. | entailment | (((quiet(alice)<~>wise(alice)))=>(?[X]:(~kind(X))))&
(((tall(alice)|~humble(alice)))=>(?[X]:((old(X)&~creative(X)))))&
(((old(john)|~patient(john)))=>(?[X]:((~kind(X)|kind(X)))))&
((?[X]:((~strong(X)&~rich(X))))<=>(~creative(mary)))&
((?[X]:((funny(X)&~patient(X))))=>(?[X]:(old(X))))&
(![X]:(~old(X)=>(~creative(X)|~kin... | ~patient(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6131946238406113260888282
% SZS output start Proof for 6131946238406113260888282
9. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~patient(X0) & funny(X0))) [input p8]
21. patient(alice) [input hypothesis]
58. ! [X0] : (((funny(X0) | ~funny(X0)) | (patient(X0) | ~funny(X0))) & ((~patient(X0) & ... | 0 |
If fred is rich then alice is generous or not quiet.
If someone is both curious and not quiet then someone is both not wise and not generous.
If john is strong then someone is not tall or kind.
Everyone who is both not patient and not wise is both not humble and not patient.
Everyone who is strong or not tall is both n... | Alice is quiet. | contradiction | ((rich(fred))=>((generous(alice)|~quiet(alice))))&
((?[X]:((curious(X)&~quiet(X))))=>(?[X]:((~wise(X)&~generous(X)))))&
((strong(john))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:((~patient(X)&~wise(X))=>(~humble(X)&~patient(X))))&
(![X]:((strong(X)|~tall(X))=>(~calm(X)&rich(X))))&
(![X]:((~quiet(X)|~humble(X))=>(old(X)<~>qu... | quiet(alice) | [
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7045907287125870589561959
% SZS output start Proof for 7045907287125870589561959
6. ! [X0] : ((~humble(X0) | ~quiet(X0)) => (old(X0) <~> quiet(X0))) [input p5]
11. ! [X0] : (~old(X0) => ~brave(X0)) [input p10]
12. ! [X0] : ((~brave(X0) | humble(X0)) => (happy(X0) & ~happy(X0))) [input p11... | 0 |
Everyone who is both not strong and not humble is both rich and calm and vice versa.
Everyone who is both quiet and patient is strong or happy.
Everyone who is brave is not creative or not calm.
If alice is generous or tall then lucy is both tall and not tall and vice versa.
Everyone who is not quiet is both calm and n... | Alice is not patient. | entailment | (![X]:((~strong(X)&~humble(X))<=>(rich(X)&calm(X))))&
(![X]:((quiet(X)&patient(X))=>(strong(X)|happy(X))))&
(![X]:(brave(X)=>(~creative(X)|~calm(X))))&
(((generous(alice)|tall(alice)))<=>((tall(lucy)&~tall(lucy))))&
(![X]:(~quiet(X)=>(calm(X)&~rich(X))))&
((?[X]:((~curious(X)&~calm(X))))=>(?[X]:((humble(X)&~humble(X)))... | ~patient(alice) | [
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3525760500024903067181265
% SZS output start Proof for 3525760500024903067181265
10. ! [X0] : ((~creative(X0) | funny(X0)) => (brave(X0) & funny(X0))) [input p9]
11. ! [X0] : ((brave(X0) | ~strong(X0)) <=> ~funny(X0)) [input p10]
16. ! [X0] : (patient(X0) <=> funny(X0)) [input p15]
25. pa... | 0 |
If paul is either tall or rich then someone is both patient and not brave.
Everyone who is both patient and not kind is creative and vice versa.
If mary is both not happy and not tall then susan is happy or not wise and vice versa.
Everyone who is generous or kind is either not humble or brave and vice versa.
Everyone ... | Paul is not brave. | contradiction | (((tall(paul)<~>rich(paul)))=>(?[X]:((patient(X)&~brave(X)))))&
(![X]:((patient(X)&~kind(X))<=>creative(X)))&
(((~happy(mary)&~tall(mary)))<=>((happy(susan)|~wise(susan))))&
(![X]:((generous(X)|kind(X))<=>(~humble(X)<~>brave(X))))&
(![X]:(~quiet(X)=>(~patient(X)&~creative(X))))&
(![X]:((humble(X)|~wise(X))=>(creative(X... | ~brave(paul) | [
"p1",
"p3",
"p4",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 721799447995058673393671
% SZS output start Proof for 721799447995058673393671
2. ! [X0] : ((~kind(X0) & patient(X0)) <=> creative(X0)) [input p1]
4. ! [X0] : ((kind(X0) | generous(X0)) <=> (~humble(X0) <~> brave(X0))) [input p3]
5. ! [X0] : (~quiet(X0) => (~creative(X0) & ~patient(X0))) ... | 0 |
Everyone who is both brave and not old is both not generous and generous and vice versa. Everyone who is not kind is both not humble and curious and vice versa. If susan is not brave or calm then someone is not brave and vice versa. Everyone who is funny or not creative is brave or not brave. If someone is not funny or... | Paul is not strong. | neutral | (![X]:((brave(X)&~old(X))<=>(~generous(X)&generous(X))))&
(![X]:(~kind(X)<=>(~humble(X)&curious(X))))&
(((~brave(susan)|calm(susan)))<=>(?[X]:(~brave(X))))&
(![X]:((funny(X)|~creative(X))=>(brave(X)|~brave(X))))&
((?[X]:((~funny(X)|tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((~humble(X)|~strong(X))=>(creative(X)|~strong(X... | ~strong(paul) | [] | null | 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 605749183934011939623432
% SZS output start Proof for 605749183934011939623432
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 either not strong or not humble is not kind and vice versa.
If someone is not rich then fred is old or not curious and vice versa.
If someone is both not kind and not patient then john is either funny or brave.
If someone is either not curious or happy then fred is both not curious and not strong and vi... | Susan is not calm. | contradiction | (![X]:((~strong(X)<~>~humble(X))<=>~kind(X)))&
((?[X]:(~rich(X)))<=>((old(fred)|~curious(fred))))&
((?[X]:((~kind(X)&~patient(X))))=>((funny(john)<~>brave(john))))&
((?[X]:((~curious(X)<~>happy(X))))<=>((~curious(fred)&~strong(fred))))&
(![X]:((~wise(X)&rich(X))=>(brave(X)<~>creative(X))))&
((?[X]:(~rich(X)))<=>(?[X]:(... | ~calm(susan) | [
"p7",
"p8",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2914903435703983671754663
% SZS output start Proof for 2914903435703983671754663
8. ! [X0] : ((old(X0) <~> funny(X0)) <=> (~old(X0) <~> ~tall(X0))) [input p7]
9. (~tall(susan) & wise(susan)) <=> ? [X0] : strong(X0) [input p8]
17. ~patient(lucy) & strong(lucy) [input p16]
18. funny(susan) ... | 0 |
If john is not old then someone is wise.
If lucy is either quiet or wise then mary is either creative or curious and vice versa.
Everyone who is wise is not strong or not brave.
Everyone who is either humble or brave is not brave and vice versa.
Everyone who is either not patient or not quiet is either not humble or cu... | Mary is not generous. | neutral | ((~old(john))=>(?[X]:(wise(X))))&
(((quiet(lucy)<~>wise(lucy)))<=>((creative(mary)<~>curious(mary))))&
(![X]:(wise(X)=>(~strong(X)|~brave(X))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X))))&
((?[X]:(~fu... | ~generous(mary) | [] | null | 0 |
Everyone who is not brave is either not strong or not humble and vice versa.
If susan is both not curious and calm then someone is both not patient and not rich and vice versa.
If someone is both creative and curious then someone is patient or not funny and vice versa.
If someone is humble or not quiet then someone is ... | Lucy is humble. | contradiction | (![X]:(~brave(X)<=>(~strong(X)<~>~humble(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:((patient(X)|~funny(X)))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((rich(X)&old(X)))))&
(((~funny(susan)<~>~generous(susan)))=>((~calm(fred)&~happy(fred))))&
... | humble(lucy) | [
"p2",
"p5",
"p7",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 541845698833991784325499
% SZS output start Proof for 541845698833991784325499
3. ? [X0] : (curious(X0) & creative(X0)) <=> ? [X0] : (~funny(X0) | patient(X0)) [input p2]
6. ! [X0] : ((~strong(X0) | creative(X0)) => ~creative(X0)) [input p5]
8. ! [X0] : ((~kind(X0) & patient(X0)) <=> (~ge... | 0 |
If mary is not calm then fred is either not generous or not quiet and vice versa. If lucy is old then someone is creative. If someone is not humble or calm then someone is both not generous and kind and vice versa. If someone is both strong and brave then john is either wise or old. If someone is humble or rich then jo... | Susan is calm. | contradiction | ((~calm(mary))<=>((~generous(fred)<~>~quiet(fred))))&
((old(lucy))=>(?[X]:(creative(X))))&
((?[X]:((~humble(X)|calm(X))))<=>(?[X]:((~generous(X)&kind(X)))))&
((?[X]:((strong(X)&brave(X))))=>((wise(john)<~>old(john))))&
((?[X]:((humble(X)|rich(X))))=>((~creative(john)<~>calm(john))))&
(![X]:((funny(X)<~>kind(X))=>~rich(... | calm(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5881140186471465799696998
% SZS output start Proof for 5881140186471465799696998
11. ! [X0] : ((rich(X0) <~> ~calm(X0)) <=> (calm(X0) & ~rich(X0))) [input p10]
25. calm(susan) [input hypothesis]
57. ! [X0] : ((((calm(X0) | ~rich(X0)) & (~calm(X0) | rich(X0))) | (~calm(X0) | rich(X0))) & (... | 0 |
If someone is either not humble or not kind then someone is curious or funny and vice versa.
Everyone who is either not quiet or not creative is both not strong and not kind and vice versa.
Everyone who is calm is not old or not calm and vice versa.
Everyone who is not generous is both not calm and curious and vice ver... | Lucy is funny. | contradiction | ((?[X]:((~humble(X)<~>~kind(X))))<=>(?[X]:((curious(X)|funny(X)))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(~strong(X)&~kind(X))))&
(![X]:(calm(X)<=>(~old(X)|~calm(X))))&
(![X]:(~generous(X)<=>(~calm(X)&curious(X))))&
((?[X]:(~humble(X)))<=>(old(alice)))&
(![X]:((~generous(X)<~>~strong(X))<=>(funny(X)|rich(X))))&
(![X]:(... | funny(lucy) | [
"p2",
"p3",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7771127466880050960343248
% SZS output start Proof for 7771127466880050960343248
3. ! [X0] : (calm(X0) <=> (~calm(X0) | ~old(X0))) [input p2]
4. ! [X0] : (~generous(X0) <=> (curious(X0) & ~calm(X0))) [input p3]
6. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> (rich(X0) | funny(X0))) [inpu... | 0 |
Everyone who is humble or not old is both wise and generous. Everyone who is both not quiet and not happy is kind or wise and vice versa. Everyone who is creative or not curious is not curious or not kind and vice versa. If alice is either happy or generous then alice is not happy or not wise. Everyone who is not creat... | Alice is strong. | neutral | (![X]:((humble(X)|~old(X))=>(wise(X)&generous(X))))&
(![X]:((~quiet(X)&~happy(X))<=>(kind(X)|wise(X))))&
(![X]:((creative(X)|~curious(X))<=>(~curious(X)|~kind(X))))&
(((happy(alice)<~>generous(alice)))=>((~happy(alice)|~wise(alice))))&
(![X]:((~creative(X)|~patient(X))=>~quiet(X)))&
((?[X]:((~curious(X)|~quiet(X))))<=>... | strong(alice) | [] | null | 0 |
If john is rich or not humble then mary is either happy or creative and vice versa.
Everyone who is either not rich or brave is either quiet or not brave and vice versa.
If lucy is not brave or not kind then someone is not tall.
If susan is either not curious or not brave then someone is both not wise and strong.
Every... | John is curious. | entailment | (((rich(john)|~humble(john)))<=>((happy(mary)<~>creative(mary))))&
(![X]:((~rich(X)<~>brave(X))<=>(quiet(X)<~>~brave(X))))&
(((~brave(lucy)|~kind(lucy)))=>(?[X]:(~tall(X))))&
(((~curious(susan)<~>~brave(susan)))=>(?[X]:((~wise(X)&strong(X)))))&
(![X]:(~rich(X)=>rich(X)))&
(![X]:((~old(X)&strong(X))=>(~wise(X)|wise(X)))... | curious(john) | [
"p1",
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7977196511975109637853808
% SZS output start Proof for 7977196511975109637853808
2. ! [X0] : ((~rich(X0) <~> brave(X0)) <=> (quiet(X0) <~> ~brave(X0))) [input p1]
5. ! [X0] : (~rich(X0) => rich(X0)) [input p4]
11. ! [X0] : (quiet(X0) => (~calm(X0) & curious(X0))) [input p10]
23. ~curious(... | 0 |
Everyone who is either not generous or quiet is both wise and curious and vice versa.
Everyone who is wise or not funny is not funny or rich and vice versa.
Everyone who is both not curious and brave is both not wise and not strong.
Everyone who is either funny or kind is kind and vice versa.
If someone is both not ric... | Mary is not rich. | neutral | (![X]:((~generous(X)<~>quiet(X))<=>(wise(X)&curious(X))))&
(![X]:((wise(X)|~funny(X))<=>(~funny(X)|rich(X))))&
(![X]:((~curious(X)&brave(X))=>(~wise(X)&~strong(X))))&
(![X]:((funny(X)<~>kind(X))<=>kind(X)))&
((?[X]:((~rich(X)&~brave(X))))<=>((~happy(susan)&generous(susan))))&
((?[X]:((~old(X)|~humble(X))))=>((calm(mary... | ~rich(mary) | [] | null | 0 |
Everyone who is not humble is both curious and old and vice versa.
If alice is both not curious and not strong then someone is not wise and vice versa.
If susan is not quiet or not creative then alice is both not funny and not curious and vice versa.
If fred is strong or wise then john is wise and vice versa.
If mary i... | Susan is tall. | neutral | (![X]:(~humble(X)<=>(curious(X)&old(X))))&
(((~curious(alice)&~strong(alice)))<=>(?[X]:(~wise(X))))&
(((~quiet(susan)|~creative(susan)))<=>((~funny(alice)&~curious(alice))))&
(((strong(fred)|wise(fred)))<=>(wise(john)))&
(((~generous(mary)|wise(mary)))=>(?[X]:((~patient(X)<~>kind(X)))))&
(![X]:((~creative(X)<~>curious(... | tall(susan) | [] | null | 0 |
Everyone who is generous or rich is both not wise and not calm.
If someone is not happy or not generous then paul is either humble or not curious and vice versa.
If alice is either funny or not patient then lucy is rich and vice versa.
Everyone who is either creative or not curious is kind.
If someone is either creativ... | John is wise. | contradiction | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~happy(X)|~generous(X))))<=>((humble(paul)<~>~curious(paul))))&
(((funny(alice)<~>~patient(alice)))<=>(rich(lucy)))&
(![X]:((creative(X)<~>~curious(X))=>kind(X)))&
((?[X]:((creative(X)<~>calm(X))))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(... | wise(john) | [
"p0",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 853450861103654745612940
% SZS output start Proof for 853450861103654745612940
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
7. ! [X0] : ((~brave(X0) & generous(X0)) <=> (~quiet(X0) | ~patient(X0))) [input p6]
8. ! [X0] : (~quiet(X0) <=> (patient(X0) | ~cur... | 0 |
Everyone who is strong or not kind is old.
If mary is either not brave or not quiet then someone is both not patient and not curious and vice versa.
Everyone who is not funny or not kind is creative.
Everyone who is both not rich and not tall is both curious and not wise and vice versa.
If someone is both quiet and kin... | Lucy is tall. | entailment | (![X]:((strong(X)|~kind(X))=>old(X)))&
(((~brave(mary)<~>~quiet(mary)))<=>(?[X]:((~patient(X)&~curious(X)))))&
(![X]:((~funny(X)|~kind(X))=>creative(X)))&
(![X]:((~rich(X)&~tall(X))<=>(curious(X)&~wise(X))))&
((?[X]:((quiet(X)&kind(X))))<=>(?[X]:((brave(X)<~>creative(X)))))&
((?[X]:((~curious(X)|brave(X))))<=>(?[X]:((c... | tall(lucy) | [
"p0",
"p3",
"p5",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3381037812065149280675243
% SZS output start Proof for 3381037812065149280675243
1. ! [X0] : ((~kind(X0) | strong(X0)) => old(X0)) [input p0]
4. ! [X0] : ((~tall(X0) & ~rich(X0)) <=> (~wise(X0) & curious(X0))) [input p3]
6. ? [X0] : (brave(X0) | ~curious(X0)) <=> ? [X0] : (~happy(X0) & ca... | 0 |
If someone is either tall or not kind then someone is both happy and calm and vice versa. Everyone who is strong or rich is not kind or not rich. Everyone who is not rich or funny is either not curious or kind. If alice is both patient and not happy then someone is either not curious or not old. Everyone who is not wis... | Alice is not quiet. | entailment | ((?[X]:((tall(X)<~>~kind(X))))<=>(?[X]:((happy(X)&calm(X)))))&
(![X]:((strong(X)|rich(X))=>(~kind(X)|~rich(X))))&
(![X]:((~rich(X)|funny(X))=>(~curious(X)<~>kind(X))))&
(((patient(alice)&~happy(alice)))=>(?[X]:((~curious(X)<~>~old(X)))))&
(![X]:((~wise(X)|~old(X))<=>(rich(X)&~wise(X))))&
(((~brave(john)|~kind(john)))=>... | ~quiet(alice) | [
"p0",
"p2",
"p4",
"p7",
"p8",
"p10",
"p12",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 607238336983489317723389
% SZS output start Proof for 607238336983489317723389
1. ? [X0] : (tall(X0) <~> ~kind(X0)) <=> ? [X0] : (calm(X0) & happy(X0)) [input p0]
3. ! [X0] : ((funny(X0) | ~rich(X0)) => (~curious(X0) <~> kind(X0))) [input p2]
5. ! [X0] : ((~old(X0) | ~wise(X0)) <=> (~wise... | 0 |
Everyone who is both not kind and not brave is both curious and happy.
Everyone who is not wise is not tall or not funny and vice versa.
If someone is both quiet and not happy then someone is not old or not wise.
If lucy is not quiet or curious then someone is either not kind or calm and vice versa.
Everyone who is not... | Alice is not wise. | entailment | (![X]:((~kind(X)&~brave(X))=>(curious(X)&happy(X))))&
(![X]:(~wise(X)<=>(~tall(X)|~funny(X))))&
((?[X]:((quiet(X)&~happy(X))))=>(?[X]:((~old(X)|~wise(X)))))&
(((~quiet(lucy)|curious(lucy)))<=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:(~tall(X)<=>(~rich(X)|quiet(X))))&
(![X]:((wise(X)&~brave(X))<=>(wise(X)<~>funny(X))))&
(!... | ~wise(alice) | [
"p1",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3585527109444299837422995
% SZS output start Proof for 3585527109444299837422995
2. ! [X0] : (~wise(X0) <=> (~funny(X0) | ~tall(X0))) [input p1]
5. ! [X0] : (~tall(X0) <=> (quiet(X0) | ~rich(X0))) [input p4]
7. ! [X0] : (~wise(X0) <=> (tall(X0) & rich(X0))) [input p6]
24. wise(alice) [inp... | 0 |
Everyone who is both not old and old is generous.
Everyone who is generous is not wise and vice versa.
Everyone who is old is not tall or not humble.
If john is both not kind and wise then someone is not rich.
Everyone who is not happy or not brave is not rich.
Everyone who is either humble or not generous is either no... | Paul is not rich. | neutral | (![X]:((~old(X)&old(X))=>generous(X)))&
(![X]:(generous(X)<=>~wise(X)))&
(![X]:(old(X)=>(~tall(X)|~humble(X))))&
(((~kind(john)&wise(john)))=>(?[X]:(~rich(X))))&
(![X]:((~happy(X)|~brave(X))=>~rich(X)))&
(![X]:((humble(X)<~>~generous(X))=>(~generous(X)<~>~old(X))))&
(((old(paul)<~>curious(paul)))=>((quiet(susan)&~old(s... | ~rich(paul) | [] | null | 0 |
If someone is not quiet then fred is both generous and not happy. Everyone who is either not calm or not funny is both tall and kind. Everyone who is either strong or curious is not curious or not happy and vice versa. Everyone who is both not calm and not funny is both not rich and not brave and vice versa. Everyone w... | Alice is not patient. | entailment | ((?[X]:(~quiet(X)))=>((generous(fred)&~happy(fred))))&
(![X]:((~calm(X)<~>~funny(X))=>(tall(X)&kind(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~curious(X)|~happy(X))))&
(![X]:((~calm(X)&~funny(X))<=>(~rich(X)&~brave(X))))&
(![X]:((~wise(X)|~quiet(X))=>~curious(X)))&
((?[X]:((~humble(X)|wise(X))))=>((~rich(susan)|quiet(s... | ~patient(alice) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1064965640805512785481789
% SZS output start Proof for 1064965640805512785481789
2. ! [X0] : ((~calm(X0) <~> ~funny(X0)) => (kind(X0) & tall(X0))) [input p1]
4. ! [X0] : ((~funny(X0) & ~calm(X0)) <=> (~brave(X0) & ~rich(X0))) [input p3]
5. ! [X0] : ((~quiet(X0) | ~wise(X0)) => ~curious(X0... | 0 |
Everyone who is both not humble and strong is either not old or not curious.
Everyone who is either not creative or quiet is not happy or rich and vice versa.
If fred is either not brave or old then susan is both happy and not generous.
If lucy is not calm or not curious then fred is wise or not curious and vice versa.... | Fred is not funny. | contradiction | (![X]:((~humble(X)&strong(X))=>(~old(X)<~>~curious(X))))&
(![X]:((~creative(X)<~>quiet(X))<=>(~happy(X)|rich(X))))&
(((~brave(fred)<~>old(fred)))=>((happy(susan)&~generous(susan))))&
(((~calm(lucy)|~curious(lucy)))<=>((wise(fred)|~curious(fred))))&
(![X]:((humble(X)&wise(X))=>(~old(X)&generous(X))))&
(![X]:((~rich(X)|k... | ~funny(fred) | [
"p5",
"p6",
"p7",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7695940065370842539474641
% SZS output start Proof for 7695940065370842539474641
6. ! [X0] : ((kind(X0) | ~rich(X0)) => (~wise(X0) & ~tall(X0))) [input p5]
7. ! [X0] : (~old(X0) => (~wise(X0) <~> ~tall(X0))) [input p6]
8. ! [X0] : ((~quiet(X0) | happy(X0)) <=> (~happy(X0) & ~curious(X0)))... | 0 |
If someone is not old or not generous then someone is not creative or kind and vice versa.
Everyone who is either funny or not humble is patient or not generous and vice versa.
Everyone who is humble or kind is both calm and tall and vice versa.
Everyone who is both generous and not brave is either creative or not crea... | Mary is tall. | entailment | ((?[X]:((~old(X)|~generous(X))))<=>(?[X]:((~creative(X)|kind(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(patient(X)|~generous(X))))&
(![X]:((humble(X)|kind(X))<=>(calm(X)&tall(X))))&
(![X]:((generous(X)&~brave(X))<=>(creative(X)<~>~creative(X))))&
((?[X]:((calm(X)<~>wise(X))))=>((rich(fred)&~curious(fred))))&
(![X]:((~ri... | tall(mary) | [
"p2",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4271667104266774035529810
% SZS output start Proof for 4271667104266774035529810
3. ! [X0] : ((kind(X0) | humble(X0)) <=> (tall(X0) & calm(X0))) [input p2]
10. ! [X0] : ((~calm(X0) | old(X0)) => (humble(X0) & ~calm(X0))) [input p9]
11. ! [X0] : ((~curious(X0) & old(X0)) <=> (~rich(X0) | h... | 0 |
If someone is both happy and strong then fred is both not curious and not tall and vice versa.
Everyone who is quiet or rich is not calm and vice versa.
If someone is not happy or not creative then paul is both curious and not calm.
Everyone who is kind is patient.
Everyone who is both rich and not curious is not tall ... | Paul is wise. | neutral | ((?[X]:((happy(X)&strong(X))))<=>((~curious(fred)&~tall(fred))))&
(![X]:((quiet(X)|rich(X))<=>~calm(X)))&
((?[X]:((~happy(X)|~creative(X))))=>((curious(paul)&~calm(paul))))&
(![X]:(kind(X)=>patient(X)))&
(![X]:((rich(X)&~curious(X))<=>~tall(X)))&
((?[X]:((tall(X)&~tall(X))))<=>(~patient(paul)))&
(![X]:((patient(X)<~>ol... | wise(paul) | [] | null | 0 |
Everyone who is brave is either happy or not humble. Everyone who is both not calm and creative is both not patient and not calm and vice versa. Everyone who is not calm or brave is not quiet and vice versa. Everyone who is either not quiet or generous is either calm or patient. If john is both not tall and wise then j... | Paul is not generous. | contradiction | (![X]:(brave(X)=>(happy(X)<~>~humble(X))))&
(![X]:((~calm(X)&creative(X))<=>(~patient(X)&~calm(X))))&
(![X]:((~calm(X)|brave(X))<=>~quiet(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(calm(X)<~>patient(X))))&
(((~tall(john)&wise(john)))=>((humble(john)&old(john))))&
(![X]:((~rich(X)<~>calm(X))=>(wise(X)|~happy(X))))&
(![X]:... | ~generous(paul) | [
"p1",
"p3",
"p7",
"p12",
"p15",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8703583087131268797917277
% SZS output start Proof for 8703583087131268797917277
2. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~calm(X0) & ~patient(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) <~> generous(X0)) => (calm(X0) <~> patient(X0))) [input p3]
8. ! [X0] : (wise(X0) => (~wise(X0) & ~f... | 0 |
Everyone who is not brave is patient or not generous and vice versa. Everyone who is both patient and not creative is tall or not calm. Everyone who is old is both not funny and not wise. Everyone who is either rich or not tall is kind. If someone is both not rich and not wise then someone is not humble or not calm and... | Susan is not wise. | contradiction | (![X]:(~brave(X)<=>(patient(X)|~generous(X))))&
(![X]:((patient(X)&~creative(X))=>(tall(X)|~calm(X))))&
(![X]:(old(X)=>(~funny(X)&~wise(X))))&
(![X]:((rich(X)<~>~tall(X))=>kind(X)))&
((?[X]:((~rich(X)&~wise(X))))<=>(?[X]:((~humble(X)|~calm(X)))))&
((?[X]:((tall(X)|kind(X))))<=>(funny(susan)))&
(![X]:((brave(X)|humble(X... | ~wise(susan) | [
"p2",
"p5",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8702496458175943353573425
% SZS output start Proof for 8702496458175943353573425
3. ! [X0] : (old(X0) => (~wise(X0) & ~funny(X0))) [input p2]
6. ? [X0] : (kind(X0) | tall(X0)) <=> funny(susan) [input p5]
9. ! [X0] : (~old(X0) => wise(X0)) [input p8]
15. ? [X0] : (curious(X0) & tall(X0)) <... | 0 |
Everyone who is both not happy and not funny is not creative and vice versa. Everyone who is both not patient and humble is not patient or wise and vice versa. Everyone who is both not brave and tall is patient. If someone is generous then fred is either not quiet or generous. If lucy is wise or tall then someone is no... | Lucy is funny. | contradiction | (![X]:((~happy(X)&~funny(X))<=>~creative(X)))&
(![X]:((~patient(X)&humble(X))<=>(~patient(X)|wise(X))))&
(![X]:((~brave(X)&tall(X))=>patient(X)))&
((?[X]:(generous(X)))=>((~quiet(fred)<~>generous(fred))))&
(((wise(lucy)|tall(lucy)))=>(?[X]:((~creative(X)|~brave(X)))))&
(((quiet(mary)|~old(mary)))=>(?[X]:(curious(X))))&... | funny(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1377823900365233053681992
% SZS output start Proof for 1377823900365233053681992
10. ! [X0] : ((funny(X0) | tall(X0)) => (~quiet(X0) & ~funny(X0))) [input p9]
23. funny(lucy) [input hypothesis]
31. ! [X0] : ((~quiet(X0) & ~funny(X0)) | (~funny(X0) & ~tall(X0))) [ennf transformation 10]
89... | 0 |
Everyone who is both funny and not strong is happy and vice versa. If john is not quiet then someone is both funny and not rich and vice versa. Everyone who is both not old and happy is either strong or quiet. Everyone who is not generous or not old is kind and vice versa. Everyone who is not humble is both patient and... | Fred is not patient. | neutral | (![X]:((funny(X)&~strong(X))<=>happy(X)))&
((~quiet(john))<=>(?[X]:((funny(X)&~rich(X)))))&
(![X]:((~old(X)&happy(X))=>(strong(X)<~>quiet(X))))&
(![X]:((~generous(X)|~old(X))<=>kind(X)))&
(![X]:(~humble(X)=>(patient(X)&~calm(X))))&
((?[X]:((~brave(X)|~wise(X))))<=>(?[X]:(creative(X))))&
(((calm(alice)&kind(alice)))=>((... | ~patient(fred) | [] | null | 0 |
Everyone who is not patient or not strong is either not strong or creative and vice versa.
Everyone who is not strong or old is calm and vice versa.
If someone is either wise or strong then susan is either brave or not patient.
Everyone who is either happy or kind is rich or wise and vice versa.
Everyone who is not kin... | Alice is rich. | neutral | (![X]:((~patient(X)|~strong(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~strong(X)|old(X))<=>calm(X)))&
((?[X]:((wise(X)<~>strong(X))))=>((brave(susan)<~>~patient(susan))))&
(![X]:((happy(X)<~>kind(X))<=>(rich(X)|wise(X))))&
(![X]:((~kind(X)|~calm(X))<=>(~brave(X)&~humble(X))))&
(![X]:((~old(X)&~wise(X))=>~curious(X)))... | rich(alice) | [] | null | 0 |
Everyone who is calm or not generous is both humble and not quiet and vice versa.
Everyone who is kind is curious or not rich.
If someone is curious or funny then someone is both not generous and not wise.
If someone is humble or strong then susan is either not wise or kind.
If mary is either not creative or not brave ... | Lucy is humble. | neutral | (![X]:((calm(X)|~generous(X))<=>(humble(X)&~quiet(X))))&
(![X]:(kind(X)=>(curious(X)|~rich(X))))&
((?[X]:((curious(X)|funny(X))))=>(?[X]:((~generous(X)&~wise(X)))))&
((?[X]:((humble(X)|strong(X))))=>((~wise(susan)<~>kind(susan))))&
(((~creative(mary)<~>~brave(mary)))=>((rich(mary)<~>~patient(mary))))&
(((~patient(lucy)... | humble(lucy) | [] | null | 0 |
Everyone who is either humble or brave is both strong and not quiet and vice versa. If paul is not wise then lucy is strong or creative. Everyone who is both not happy and strong is not funny or not curious and vice versa. Everyone who is both not funny and not happy is not strong or not funny and vice versa. Everyone ... | Lucy is not rich. | entailment | (![X]:((humble(X)<~>brave(X))<=>(strong(X)&~quiet(X))))&
((~wise(paul))=>((strong(lucy)|creative(lucy))))&
(![X]:((~happy(X)&strong(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~funny(X)&~happy(X))<=>(~strong(X)|~funny(X))))&
(![X]:((quiet(X)|wise(X))=>(~curious(X)&~funny(X))))&
(((rich(mary)<~>~tall(mary)))<=>(~quiet(susa... | ~rich(lucy) | [
"p2",
"p3",
"p4",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6763468586137434058901812
% SZS output start Proof for 6763468586137434058901812
3. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (~curious(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> (~funny(X0) | ~strong(X0))) [input p3]
5. ! [X0] : ((wise(X0) | quiet(X0)) => (~fu... | 0 |
Everyone who is brave is either not tall or generous.
Everyone who is not humble or wise is both not wise and not happy and vice versa.
If lucy is creative then alice is both not patient and not calm.
If john is both not humble and strong then paul is either humble or kind.
If john is either not tall or not humble then... | Lucy is strong. | entailment | (![X]:(brave(X)=>(~tall(X)<~>generous(X))))&
(![X]:((~humble(X)|wise(X))<=>(~wise(X)&~happy(X))))&
((creative(lucy))=>((~patient(alice)&~calm(alice))))&
(((~humble(john)&strong(john)))=>((humble(paul)<~>kind(paul))))&
(((~tall(john)<~>~humble(john)))=>((kind(susan)<~>tall(susan))))&
((?[X]:((patient(X)&old(X))))<=>(?[X... | strong(lucy) | [
"p1",
"p6",
"p7",
"p8",
"p9",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8952119625526907402202859
% SZS output start Proof for 8952119625526907402202859
2. ! [X0] : ((wise(X0) | ~humble(X0)) <=> (~happy(X0) & ~wise(X0))) [input p1]
7. ! [X0] : (~generous(X0) => (quiet(X0) & ~brave(X0))) [input p6]
8. ! [X0] : (~humble(X0) => creative(X0)) [input p7]
9. ! [X0]... | 0 |
Everyone who is both funny and not kind is both funny and not curious and vice versa.
If alice is not brave then someone is calm.
Everyone who is funny or patient is not tall and vice versa.
If someone is either wise or not strong then susan is not calm.
Everyone who is either not calm or curious is either not patient ... | Alice is not funny. | entailment | (![X]:((funny(X)&~kind(X))<=>(funny(X)&~curious(X))))&
((~brave(alice))=>(?[X]:(calm(X))))&
(![X]:((funny(X)|patient(X))<=>~tall(X)))&
((?[X]:((wise(X)<~>~strong(X))))=>(~calm(susan)))&
(![X]:((~calm(X)<~>curious(X))<=>(~patient(X)<~>tall(X))))&
(![X]:(strong(X)=>(strong(X)&~funny(X))))&
(![X]:(creative(X)=>~generous(X... | ~funny(alice) | [
"p5",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4476807045101246849188477
% SZS output start Proof for 4476807045101246849188477
6. ! [X0] : (strong(X0) => (~funny(X0) & strong(X0))) [input p5]
23. ~curious(alice) & strong(alice) [input p22]
24. funny(alice) [input hypothesis]
32. ! [X0] : ((~funny(X0) & strong(X0)) | ~strong(X0)) [enn... | 0 |
If susan is either not old or brave then susan is both humble and not generous and vice versa.
Everyone who is either not generous or not old is both kind and wise.
Everyone who is both not rich and not curious is not calm and vice versa.
If mary is humble or patient then someone is either not kind or strong and vice v... | Susan is not rich. | entailment | (((~old(susan)<~>brave(susan)))<=>((humble(susan)&~generous(susan))))&
(![X]:((~generous(X)<~>~old(X))=>(kind(X)&wise(X))))&
(![X]:((~rich(X)&~curious(X))<=>~calm(X)))&
(((humble(mary)|patient(mary)))<=>(?[X]:((~kind(X)<~>strong(X)))))&
(((~patient(mary)|kind(mary)))=>(?[X]:((~strong(X)&humble(X)))))&
(![X]:((quiet(X)&... | ~rich(susan) | [
"p0",
"p1",
"p2",
"p9",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5914212393545847189295626
% SZS output start Proof for 5914212393545847189295626
1. (~old(susan) <~> brave(susan)) <=> (~generous(susan) & humble(susan)) [input p0]
2. ! [X0] : ((~generous(X0) <~> ~old(X0)) => (wise(X0) & kind(X0))) [input p1]
3. ! [X0] : ((~curious(X0) & ~rich(X0)) <=> ~... | 0 |
If susan is happy then someone is old or not rich and vice versa. If someone is not brave then susan is not quiet. Everyone who is not rich is either not humble or not patient. If fred is both generous and happy then fred is generous and vice versa. Everyone who is old is not tall. If someone is both not curious and no... | Alice is not old. | entailment | ((happy(susan))<=>(?[X]:((old(X)|~rich(X)))))&
((?[X]:(~brave(X)))=>(~quiet(susan)))&
(![X]:(~rich(X)=>(~humble(X)<~>~patient(X))))&
(((generous(fred)&happy(fred)))<=>(generous(fred)))&
(![X]:(old(X)=>~tall(X)))&
((?[X]:((~curious(X)&~quiet(X))))=>(?[X]:((calm(X)&humble(X)))))&
(![X]:((~generous(X)<~>~kind(X))=>(humble... | ~old(alice) | [
"p0",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2740339626633555189266024
% SZS output start Proof for 2740339626633555189266024
1. happy(susan) <=> ? [X0] : (~rich(X0) | old(X0)) [input p0]
23. ~happy(susan) & ~funny(susan) [input p22]
25. old(alice) [input hypothesis]
40. (happy(susan) | ! [X0] : (rich(X0) & ~old(X0))) & (? [X0] : (~... | 0 |
If mary is both not wise and strong then mary is not creative.
Everyone who is strong is generous or strong and vice versa.
If susan is both creative and not humble then lucy is both strong and patient.
If mary is not kind then fred is both generous and not patient.
Everyone who is both calm and quiet is not tall or ri... | Mary is not humble. | neutral | (((~wise(mary)&strong(mary)))=>(~creative(mary)))&
(![X]:(strong(X)<=>(generous(X)|strong(X))))&
(((creative(susan)&~humble(susan)))=>((strong(lucy)&patient(lucy))))&
((~kind(mary))=>((generous(fred)&~patient(fred))))&
(![X]:((calm(X)&quiet(X))<=>(~tall(X)|rich(X))))&
((~humble(john))=>((~rich(fred)|~creative(fred))))&... | ~humble(mary) | [] | null | 0 |
Everyone who is generous or not patient is either kind or not happy and vice versa.
Everyone who is not rich is not wise or not strong and vice versa.
If someone is not quiet then someone is both not kind and not tall and vice versa.
Everyone who is calm or wise is not rich or not quiet.
If someone is either not calm o... | Alice is brave. | neutral | (![X]:((generous(X)|~patient(X))<=>(kind(X)<~>~happy(X))))&
(![X]:(~rich(X)<=>(~wise(X)|~strong(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~kind(X)&~tall(X)))))&
(![X]:((calm(X)|wise(X))=>(~rich(X)|~quiet(X))))&
((?[X]:((~calm(X)<~>humble(X))))<=>(?[X]:((~wise(X)|~creative(X)))))&
(![X]:((~wise(X)&strong(X))<=>(tall(X)<~>hap... | brave(alice) | [] | null | 0 |
Everyone who is either funny or not quiet is not wise or tall and vice versa. If john is either not brave or humble then someone is both wise and not creative. If someone is patient then someone is either not creative or old and vice versa. Everyone who is both humble and not strong is both not patient and funny. Every... | John is not generous. | entailment | (![X]:((funny(X)<~>~quiet(X))<=>(~wise(X)|tall(X))))&
(((~brave(john)<~>humble(john)))=>(?[X]:((wise(X)&~creative(X)))))&
((?[X]:(patient(X)))<=>(?[X]:((~creative(X)<~>old(X)))))&
(![X]:((humble(X)&~strong(X))=>(~patient(X)&funny(X))))&
(![X]:((generous(X)&~old(X))<=>generous(X)))&
(![X]:((generous(X)&~rich(X))=>(funny... | ~generous(john) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2418925729396273688223821
% SZS output start Proof for 2418925729396273688223821
5. ! [X0] : ((~old(X0) & generous(X0)) <=> generous(X0)) [input p4]
17. old(john) & kind(john) [input p16]
24. generous(john) [input hypothesis]
48. ! [X0] : (((~old(X0) & generous(X0)) | ~generous(X0)) & (ge... | 0 |
Everyone who is both wise and not kind is both calm and not brave and vice versa.
Everyone who is both not creative and not generous is not quiet.
If alice is not generous or strong then mary is calm and vice versa.
If someone is not creative then lucy is both not calm and not kind and vice versa.
Everyone who is both ... | Paul is not calm. | neutral | (![X]:((wise(X)&~kind(X))<=>(calm(X)&~brave(X))))&
(![X]:((~creative(X)&~generous(X))=>~quiet(X)))&
(((~generous(alice)|strong(alice)))<=>(calm(mary)))&
((?[X]:(~creative(X)))<=>((~calm(lucy)&~kind(lucy))))&
(![X]:((calm(X)&creative(X))=>(tall(X)<~>creative(X))))&
((?[X]:(funny(X)))<=>((~kind(mary)<~>old(mary))))&
(![X... | ~calm(paul) | [] | null | 0 |
Everyone who is either not generous or strong is tall or calm. Everyone who is not humble or not quiet is either strong or happy and vice versa. If someone is either brave or generous then someone is both quiet and tall. If someone is either wise or not calm then someone is not rich. If someone is curious or happy then... | Lucy is not strong. | neutral | (![X]:((~generous(X)<~>strong(X))=>(tall(X)|calm(X))))&
(![X]:((~humble(X)|~quiet(X))<=>(strong(X)<~>happy(X))))&
((?[X]:((brave(X)<~>generous(X))))=>(?[X]:((quiet(X)&tall(X)))))&
((?[X]:((wise(X)<~>~calm(X))))=>(?[X]:(~rich(X))))&
((?[X]:((curious(X)|happy(X))))=>((~strong(lucy)<~>~funny(lucy))))&
((?[X]:((~calm(X)|ki... | ~strong(lucy) | [] | null | 0 |
Everyone who is not generous is strong or not humble. If lucy is generous then someone is calm. Everyone who is both creative and generous is not brave and vice versa. Everyone who is not generous is either not brave or funny and vice versa. Everyone who is either happy or kind is not brave or not calm and vice versa. ... | Mary is happy. | entailment | (![X]:(~generous(X)=>(strong(X)|~humble(X))))&
((generous(lucy))=>(?[X]:(calm(X))))&
(![X]:((creative(X)&generous(X))<=>~brave(X)))&
(![X]:(~generous(X)<=>(~brave(X)<~>funny(X))))&
(![X]:((happy(X)<~>kind(X))<=>(~brave(X)|~calm(X))))&
(![X]:((old(X)<~>~strong(X))=>(~old(X)&~generous(X))))&
(![X]:(old(X)=>(old(X)&~patie... | happy(mary) | [
"p2",
"p3",
"p5",
"p6",
"p7",
"p10",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3031570963867191731331552
% SZS output start Proof for 3031570963867191731331552
3. ! [X0] : ((generous(X0) & creative(X0)) <=> ~brave(X0)) [input p2]
4. ! [X0] : (~generous(X0) <=> (~brave(X0) <~> funny(X0))) [input p3]
6. ! [X0] : ((old(X0) <~> ~strong(X0)) => (~generous(X0) & ~old(X0))... | 0 |
If susan is either generous or patient then john is either not patient or strong. Everyone who is not humble is not old. If someone is curious or not strong then john is either creative or old and vice versa. Everyone who is either old or not generous is either not tall or not quiet and vice versa. Everyone who is both... | Paul is not calm. | neutral | (((generous(susan)<~>patient(susan)))=>((~patient(john)<~>strong(john))))&
(![X]:(~humble(X)=>~old(X)))&
((?[X]:((curious(X)|~strong(X))))<=>((creative(john)<~>old(john))))&
(![X]:((old(X)<~>~generous(X))<=>(~tall(X)<~>~quiet(X))))&
(![X]:((brave(X)&rich(X))=>(~creative(X)<~>~old(X))))&
(![X]:((~patient(X)|~rich(X))=>(... | ~calm(paul) | [] | null | 0 |
Everyone who is either funny or not calm is both not funny and not creative and vice versa.
If susan is either not tall or not kind then someone is either not strong or not wise and vice versa.
If alice is both humble and kind then someone is either not old or not kind.
If fred is not kind or not happy then someone is ... | Fred is curious. | neutral | (![X]:((funny(X)<~>~calm(X))<=>(~funny(X)&~creative(X))))&
(((~tall(susan)<~>~kind(susan)))<=>(?[X]:((~strong(X)<~>~wise(X)))))&
(((humble(alice)&kind(alice)))=>(?[X]:((~old(X)<~>~kind(X)))))&
(((~kind(fred)|~happy(fred)))<=>(?[X]:(~calm(X))))&
(![X]:((~tall(X)<~>~humble(X))<=>(~wise(X)<~>~humble(X))))&
((~humble(paul)... | curious(fred) | [] | null | 0 |
Everyone who is strong is not humble or creative. If paul is not calm or not old then someone is not strong or patient. Everyone who is humble is both not brave and not happy. Everyone who is not creative or tall is either not patient or old and vice versa. Everyone who is creative is not rich and vice versa. If someon... | Susan is not rich. | entailment | (![X]:(strong(X)=>(~humble(X)|creative(X))))&
(((~calm(paul)|~old(paul)))=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:(humble(X)=>(~brave(X)&~happy(X))))&
(![X]:((~creative(X)|tall(X))<=>(~patient(X)<~>old(X))))&
(![X]:(creative(X)<=>~rich(X)))&
((?[X]:((~patient(X)&rich(X))))=>((happy(lucy)<~>funny(lucy))))&
(![X]:((str... | ~rich(susan) | [
"p3",
"p4",
"p5",
"p9",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5211995071553278273189266
% SZS output start Proof for 5211995071553278273189266
4. ! [X0] : ((tall(X0) | ~creative(X0)) <=> (~patient(X0) <~> old(X0))) [input p3]
5. ! [X0] : (creative(X0) <=> ~rich(X0)) [input p4]
6. ? [X0] : (rich(X0) & ~patient(X0)) => (happy(lucy) <~> funny(lucy)) [i... | 0 |
If lucy is either not creative or not quiet then john is both tall and not strong. Everyone who is either old or quiet is not old or not kind. If someone is both not patient and strong then paul is quiet or funny and vice versa. Everyone who is either not tall or funny is not funny or not tall and vice versa. Everyone ... | Paul is old. | entailment | (((~creative(lucy)<~>~quiet(lucy)))=>((tall(john)&~strong(john))))&
(![X]:((old(X)<~>quiet(X))=>(~old(X)|~kind(X))))&
((?[X]:((~patient(X)&strong(X))))<=>((quiet(paul)|funny(paul))))&
(![X]:((~tall(X)<~>funny(X))<=>(~funny(X)|~tall(X))))&
(![X]:((old(X)<~>~wise(X))<=>(kind(X)<~>~tall(X))))&
(![X]:((~happy(X)&old(X))=>(... | old(paul) | [
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1410432380991256563108513
% SZS output start Proof for 1410432380991256563108513
4. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~wise(X0)) <=> (kind(X0) <~> ~tall(X0))) [input p4]
9. ! [X0] : ((~kind(X0) & wise(X0)) <=> (~funny(X0... | 0 |
If mary is quiet or rich then someone is not strong or strong.
Everyone who is not humble is patient or tall.
Everyone who is not rich is not generous and vice versa.
If someone is not quiet then someone is not calm or not creative and vice versa.
Everyone who is both patient and generous is funny and vice versa.
Every... | Mary is not tall. | entailment | (((quiet(mary)|rich(mary)))=>(?[X]:((~strong(X)|strong(X)))))&
(![X]:(~humble(X)=>(patient(X)|tall(X))))&
(![X]:(~rich(X)<=>~generous(X)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:((patient(X)&generous(X))<=>funny(X)))&
(![X]:((~happy(X)<~>generous(X))=>(humble(X)|tall(X))))&
(![X]:((happy(X)|bra... | ~tall(mary) | [
"p2",
"p6",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 85930856527211938595642
% SZS output start Proof for 85930856527211938595642
3. ! [X0] : (~rich(X0) <=> ~generous(X0)) [input p2]
7. ! [X0] : ((brave(X0) | happy(X0)) <=> (strong(X0) & ~tall(X0))) [input p6]
9. ? [X0] : happy(X0) <=> ? [X0] : ~kind(X0) [input p8]
11. ! [X0] : ((~rich(X0) ... | 0 |
Everyone who is both brave and not patient is patient.
Everyone who is patient is either not creative or tall.
Everyone who is both kind and old is not generous or not rich.
Everyone who is either quiet or wise is tall or not happy and vice versa.
If lucy is not creative then someone is both old and not creative and vi... | John is not kind. | neutral | (![X]:((brave(X)&~patient(X))=>patient(X)))&
(![X]:(patient(X)=>(~creative(X)<~>tall(X))))&
(![X]:((kind(X)&old(X))=>(~generous(X)|~rich(X))))&
(![X]:((quiet(X)<~>wise(X))<=>(tall(X)|~happy(X))))&
((~creative(lucy))<=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((~brave(X)|generous(X))<=>(~calm(X)|tall(X))))&
((?[X]:((~old(... | ~kind(john) | [] | null | 0 |
Everyone who is both not generous and strong is either humble or funny.
If lucy is humble or not generous then mary is humble.
Everyone who is not kind is both curious and old.
If mary is quiet or not generous then mary is either humble or not humble and vice versa.
If lucy is brave or not patient then susan is brave o... | Mary is strong. | contradiction | (![X]:((~generous(X)&strong(X))=>(humble(X)<~>funny(X))))&
(((humble(lucy)|~generous(lucy)))=>(humble(mary)))&
(![X]:(~kind(X)=>(curious(X)&old(X))))&
(((quiet(mary)|~generous(mary)))<=>((humble(mary)<~>~humble(mary))))&
(((brave(lucy)|~patient(lucy)))<=>((brave(susan)|calm(susan))))&
(((creative(alice)<~>~calm(alice))... | strong(mary) | [
"p0",
"p1",
"p7",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1795411745538288038595917
% SZS output start Proof for 1795411745538288038595917
1. ! [X0] : ((strong(X0) & ~generous(X0)) => (humble(X0) <~> funny(X0))) [input p0]
2. (~generous(lucy) | humble(lucy)) => humble(mary) [input p1]
8. ? [X0] : (~curious(X0) | ~patient(X0)) <=> ? [X0] : (brave... | 0 |
Everyone who is kind or not wise is not quiet.
Everyone who is quiet is rich and vice versa.
Everyone who is either not humble or humble is both wise and not quiet and vice versa.
If paul is both kind and patient then someone is curious or not quiet.
Everyone who is not humble is not funny or not brave and vice versa.
... | John is not old. | contradiction | (![X]:((kind(X)|~wise(X))=>~quiet(X)))&
(![X]:(quiet(X)<=>rich(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(wise(X)&~quiet(X))))&
(((kind(paul)&patient(paul)))=>(?[X]:((curious(X)|~quiet(X)))))&
(![X]:(~humble(X)<=>(~funny(X)|~brave(X))))&
(((patient(alice)<~>calm(alice)))<=>(?[X]:((~funny(X)|old(X)))))&
(((~tall(paul)<~>~... | ~old(john) | [
"p1",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 123092040569812244513604
% SZS output start Proof for 123092040569812244513604
2. ! [X0] : (quiet(X0) <=> rich(X0)) [input p1]
3. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (~quiet(X0) & wise(X0))) [input p2]
8. ! [X0] : (rich(X0) <=> (~quiet(X0) & ~old(X0))) [input p7]
23. ~old(john) [in... | 0 |
Everyone who is funny or happy is both not happy and brave.
If someone is tall then fred is both not rich and not calm and vice versa.
Everyone who is either not generous or not patient is not calm or creative.
Everyone who is both not patient and not kind is both not generous and brave and vice versa.
Everyone who is ... | Alice is patient. | entailment | (![X]:((funny(X)|happy(X))=>(~happy(X)&brave(X))))&
((?[X]:(tall(X)))<=>((~rich(fred)&~calm(fred))))&
(![X]:((~generous(X)<~>~patient(X))=>(~calm(X)|creative(X))))&
(![X]:((~patient(X)&~kind(X))<=>(~generous(X)&brave(X))))&
(![X]:((wise(X)|funny(X))<=>(kind(X)&~generous(X))))&
(![X]:(quiet(X)=>(~patient(X)&~old(X))))&
... | patient(alice) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9057857079643327538919781
% SZS output start Proof for 9057857079643327538919781
1. ! [X0] : ((happy(X0) | funny(X0)) => (brave(X0) & ~happy(X0))) [input p0]
4. ! [X0] : ((~kind(X0) & ~patient(X0)) <=> (brave(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((funny(X0) | wise(X0)) <=> (~gener... | 0 |
If someone is both not happy and old then john is both brave and patient. Everyone who is strong is both not brave and humble and vice versa. If alice is funny or humble then someone is both not humble and not curious and vice versa. If mary is either strong or generous then john is either creative or strong and vice v... | John is funny. | contradiction | ((?[X]:((~happy(X)&old(X))))=>((brave(john)&patient(john))))&
(![X]:(strong(X)<=>(~brave(X)&humble(X))))&
(((funny(alice)|humble(alice)))<=>(?[X]:((~humble(X)&~curious(X)))))&
(((strong(mary)<~>generous(mary)))<=>((creative(john)<~>strong(john))))&
(![X]:((~calm(X)|curious(X))<=>~rich(X)))&
(![X]:((~wise(X)|~generous(X... | funny(john) | [
"p0",
"p1",
"p8",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 957924186579411399337586
% SZS output start Proof for 957924186579411399337586
1. ? [X0] : (old(X0) & ~happy(X0)) => (patient(john) & brave(john)) [input p0]
2. ! [X0] : (strong(X0) <=> (humble(X0) & ~brave(X0))) [input p1]
9. ! [X0] : (happy(X0) => (~old(X0) & calm(X0))) [input p8]
16. !... | 0 |
Everyone who is either not generous or not tall is not kind or kind.
If someone is not patient or patient then someone is not tall or curious and vice versa.
If someone is either kind or brave then someone is either not calm or not creative.
Everyone who is either not tall or not curious is both humble and not strong.
... | Susan is creative. | contradiction | (![X]:((~generous(X)<~>~tall(X))=>(~kind(X)|kind(X))))&
((?[X]:((~patient(X)|patient(X))))<=>(?[X]:((~tall(X)|curious(X)))))&
((?[X]:((kind(X)<~>brave(X))))=>(?[X]:((~calm(X)<~>~creative(X)))))&
(![X]:((~tall(X)<~>~curious(X))=>(humble(X)&~strong(X))))&
(![X]:((~quiet(X)<~>brave(X))<=>(funny(X)<~>~curious(X))))&
(![X]:... | creative(susan) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5069876903679772829603455
% SZS output start Proof for 5069876903679772829603455
6. ! [X0] : (~strong(X0) <=> ~creative(X0)) [input p5]
17. ~strong(susan) [input p16]
25. creative(susan) [input hypothesis]
56. ! [X0] : ((~strong(X0) | creative(X0)) & (~creative(X0) | strong(X0))) [nnf tra... | 0 |
Everyone who is not old or not patient is not happy or brave and vice versa.
Everyone who is not creative or strong is humble or happy.
Everyone who is both calm and wise is not generous.
Everyone who is not wise is not patient and vice versa.
Everyone who is rich is wise or not tall.
Everyone who is either not curious... | John is not brave. | entailment | (![X]:((~old(X)|~patient(X))<=>(~happy(X)|brave(X))))&
(![X]:((~creative(X)|strong(X))=>(humble(X)|happy(X))))&
(![X]:((calm(X)&wise(X))=>~generous(X)))&
(![X]:(~wise(X)<=>~patient(X)))&
(![X]:(rich(X)=>(wise(X)|~tall(X))))&
(![X]:((~curious(X)<~>~calm(X))<=>curious(X)))&
(![X]:((tall(X)&~generous(X))=>(wise(X)<~>~happ... | ~brave(john) | [
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2663926336974040221722652
% SZS output start Proof for 2663926336974040221722652
6. ! [X0] : ((~curious(X0) <~> ~calm(X0)) <=> curious(X0)) [input p5]
8. ! [X0] : (~rich(X0) <=> (calm(X0) & ~calm(X0))) [input p7]
9. ? [X0] : (brave(X0) | humble(X0)) => ? [X0] : ~rich(X0) [input p8]
23. br... | 0 |
If someone is either curious or not curious then alice is curious and vice versa.
Everyone who is either not old or not strong is old or quiet and vice versa.
If alice is both not generous and brave then mary is both creative and not calm and vice versa.
Everyone who is not tall is either not brave or not strong and vi... | Fred is happy. | neutral | ((?[X]:((curious(X)<~>~curious(X))))<=>(curious(alice)))&
(![X]:((~old(X)<~>~strong(X))<=>(old(X)|quiet(X))))&
(((~generous(alice)&brave(alice)))<=>((creative(mary)&~calm(mary))))&
(![X]:(~tall(X)<=>(~brave(X)<~>~strong(X))))&
((?[X]:((wise(X)|generous(X))))<=>(?[X]:((creative(X)<~>~funny(X)))))&
(![X]:((tall(X)&kind(X... | happy(fred) | [] | null | 0 |
Everyone who is either calm or not calm is not generous and vice versa.
If someone is not funny or not curious then susan is either humble or strong.
Everyone who is either not patient or not calm is rich and vice versa.
Everyone who is both generous and funny is not quiet or not patient and vice versa.
Everyone who is... | Fred is not happy. | entailment | (![X]:((calm(X)<~>~calm(X))<=>~generous(X)))&
((?[X]:((~funny(X)|~curious(X))))=>((humble(susan)<~>strong(susan))))&
(![X]:((~patient(X)<~>~calm(X))<=>rich(X)))&
(![X]:((generous(X)&funny(X))<=>(~quiet(X)|~patient(X))))&
(![X]:(~wise(X)<=>(old(X)|tall(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(calm(X))))&
(((~patient(susan... | ~happy(fred) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5011510831967959344982218
% SZS output start Proof for 5011510831967959344982218
1. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((~patient(X0) <~> ~calm(X0)) <=> rich(X0)) [input p2]
4. ! [X0] : ((funny(X0) & generous(X0)) <=> (~patient(X0) | ~quiet(X0))) ... | 0 |
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is not humble or wise. If susan is both funny and not patient then fred is either not brave or not calm and vice versa. If someone is either wise or funny then john is wise or not patient and vice versa. If... | Alice is patient. | contradiction | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|wise(X))))&
(((funny(susan)&~patient(susan)))<=>((~brave(fred)<~>~calm(fred))))&
((?[X]:((wise(X)<~>funny(X))))<=>((wise(john)|~patient(john))))&
((?[X]:(~old(X)))=>(?[X]:((~happy(X)|~creative(X)))))&
((~calm(alice... | patient(alice) | [
"p7",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1434265326255320499265138
% SZS output start Proof for 1434265326255320499265138
8. (~wise(paul) & ~calm(paul)) <=> ? [X0] : (generous(X0) | happy(X0)) [input p7]
12. ? [X0] : (~quiet(X0) | patient(X0)) <=> ? [X0] : (generous(X0) & creative(X0)) [input p11]
22. wise(paul) [input p21]
25. ... | 0 |
If someone is both not brave and not humble then alice is either humble or strong and vice versa.
Everyone who is either humble or not rich is not patient and vice versa.
If paul is generous then mary is funny or generous.
If john is rich then someone is curious or funny.
Everyone who is not wise is not generous or fun... | Fred is not happy. | contradiction | ((?[X]:((~brave(X)&~humble(X))))<=>((humble(alice)<~>strong(alice))))&
(![X]:((humble(X)<~>~rich(X))<=>~patient(X)))&
((generous(paul))=>((funny(mary)|generous(mary))))&
((rich(john))=>(?[X]:((curious(X)|funny(X)))))&
(![X]:(~wise(X)=>(~generous(X)|funny(X))))&
(((rich(john)<~>quiet(john)))=>(?[X]:((~old(X)&~rich(X))))... | ~happy(fred) | [
"p0",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2528155887257084217565521
% SZS output start Proof for 2528155887257084217565521
1. ? [X0] : (~humble(X0) & ~brave(X0)) <=> (humble(alice) <~> strong(alice)) [input p0]
14. happy(fred) <=> ? [X0] : (~humble(X0) | ~brave(X0)) [input p13]
16. ? [X0] : humble(X0) => (funny(alice) & ~strong(a... | 0 |
Everyone who is both curious and generous is quiet.
If someone is not calm or not generous then someone is happy and vice versa.
If someone is both not brave and curious then susan is both kind and not patient and vice versa.
If mary is curious or kind then lucy is strong and vice versa.
If someone is not strong or not... | Fred is happy. | contradiction | (![X]:((curious(X)&generous(X))=>quiet(X)))&
((?[X]:((~calm(X)|~generous(X))))<=>(?[X]:(happy(X))))&
((?[X]:((~brave(X)&curious(X))))<=>((kind(susan)&~patient(susan))))&
(((curious(mary)|kind(mary)))<=>(strong(lucy)))&
((?[X]:((~strong(X)|~rich(X))))<=>((~calm(paul)&~patient(paul))))&
((?[X]:((rich(X)|wise(X))))=>((cre... | happy(fred) | [
"p9",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 702001452944186355731726
% SZS output start Proof for 702001452944186355731726
10. ! [X0] : ((~happy(X0) <~> brave(X0)) => (~brave(X0) & patient(X0))) [input p9]
22. brave(fred) & quiet(fred) [input p21]
25. happy(fred) [input hypothesis]
32. ! [X0] : ((~brave(X0) & patient(X0)) | (~happy... | 0 |
If someone is not humble then alice is either not kind or wise and vice versa.
Everyone who is both old and happy is quiet or wise.
If someone is not creative then someone is old and vice versa.
If alice is both kind and not strong then someone is both not strong and rich and vice versa.
If someone is not curious then ... | Alice is happy. | neutral | ((?[X]:(~humble(X)))<=>((~kind(alice)<~>wise(alice))))&
(![X]:((old(X)&happy(X))=>(quiet(X)|wise(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(old(X))))&
(((kind(alice)&~strong(alice)))<=>(?[X]:((~strong(X)&rich(X)))))&
((?[X]:(~curious(X)))=>(?[X]:((patient(X)|brave(X)))))&
(((happy(mary)&rich(mary)))<=>(?[X]:((~wise(X)&~gen... | happy(alice) | [] | null | 0 |
Everyone who is both wise and not quiet is both not curious and funny.
If someone is both not brave and not strong then fred is patient or not quiet and vice versa.
Everyone who is creative is both not old and creative and vice versa.
Everyone who is both happy and not quiet is either not quiet or not creative and vice... | John is not happy. | entailment | (![X]:((wise(X)&~quiet(X))=>(~curious(X)&funny(X))))&
((?[X]:((~brave(X)&~strong(X))))<=>((patient(fred)|~quiet(fred))))&
(![X]:(creative(X)<=>(~old(X)&creative(X))))&
(![X]:((happy(X)&~quiet(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((funny(X)&happy(X))<=>(happy(X)|patient(X))))&
(![X]:(calm(X)<=>(~brave(X)<~>wise(X))... | ~happy(john) | [
"p3",
"p4",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6014543477840866869199092
% SZS output start Proof for 6014543477840866869199092
4. ! [X0] : ((~quiet(X0) & happy(X0)) <=> (~quiet(X0) <~> ~creative(X0))) [input p3]
5. ! [X0] : ((happy(X0) & funny(X0)) <=> (patient(X0) | happy(X0))) [input p4]
14. ! [X0] : ((~humble(X0) | funny(X0)) <=> ... | 0 |
Everyone who is not tall or brave is not humble and vice versa.
If alice is happy or not old then someone is both not tall and not strong.
Everyone who is both not quiet and not brave is either funny or humble and vice versa.
Everyone who is either not tall or not funny is not patient and vice versa.
If someone is crea... | Mary is not creative. | entailment | (![X]:((~tall(X)|brave(X))<=>~humble(X)))&
(((happy(alice)|~old(alice)))=>(?[X]:((~tall(X)&~strong(X)))))&
(![X]:((~quiet(X)&~brave(X))<=>(funny(X)<~>humble(X))))&
(![X]:((~tall(X)<~>~funny(X))<=>~patient(X)))&
((?[X]:(creative(X)))=>((patient(susan)&~humble(susan))))&
((?[X]:((~rich(X)&~tall(X))))=>(?[X]:(happy(X))))&... | ~creative(mary) | [
"p0",
"p2",
"p3",
"p4",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1193186652528906391358091
% SZS output start Proof for 1193186652528906391358091
1. ! [X0] : ((brave(X0) | ~tall(X0)) <=> ~humble(X0)) [input p0]
3. ! [X0] : ((~brave(X0) & ~quiet(X0)) <=> (funny(X0) <~> humble(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> ~patient(X0)) [in... | 0 |
Everyone who is either curious or quiet is both not wise and creative and vice versa. Everyone who is either not quiet or creative is not old and vice versa. Everyone who is wise is humble and vice versa. If john is not rich or not happy then someone is both not strong and brave and vice versa. Everyone who is both not... | Susan is not old. | entailment | (![X]:((curious(X)<~>quiet(X))<=>(~wise(X)&creative(X))))&
(![X]:((~quiet(X)<~>creative(X))<=>~old(X)))&
(![X]:(wise(X)<=>humble(X)))&
(((~rich(john)|~happy(john)))<=>(?[X]:((~strong(X)&brave(X)))))&
(![X]:((~patient(X)&old(X))<=>(curious(X)|~funny(X))))&
(((rich(mary)<~>~funny(mary)))<=>(?[X]:((calm(X)&~brave(X)))))&
... | ~old(susan) | [
"p0",
"p1",
"p6",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2475129310204826918958164
% SZS output start Proof for 2475129310204826918958164
1. ! [X0] : ((curious(X0) <~> quiet(X0)) <=> (creative(X0) & ~wise(X0))) [input p0]
2. ! [X0] : ((~quiet(X0) <~> creative(X0)) <=> ~old(X0)) [input p1]
7. ! [X0] : ((brave(X0) | ~strong(X0)) => (old(X0) <~> ~... | 0 |
Everyone who is either tall or humble is either not brave or curious.
If someone is either patient or not kind then mary is either curious or calm and vice versa.
Everyone who is either not funny or not brave is either happy or strong and vice versa.
If someone is kind or calm then john is either rich or curious.
If so... | Fred is not brave. | contradiction | (![X]:((tall(X)<~>humble(X))=>(~brave(X)<~>curious(X))))&
((?[X]:((patient(X)<~>~kind(X))))<=>((curious(mary)<~>calm(mary))))&
(![X]:((~funny(X)<~>~brave(X))<=>(happy(X)<~>strong(X))))&
((?[X]:((kind(X)|calm(X))))=>((rich(john)<~>curious(john))))&
((?[X]:((tall(X)|kind(X))))=>(~creative(alice)))&
(((~creative(paul)&qui... | ~brave(fred) | [
"p2",
"p4",
"p5",
"p7",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 384252608132076867554899
% SZS output start Proof for 384252608132076867554899
3. ! [X0] : ((~funny(X0) <~> ~brave(X0)) <=> (happy(X0) <~> strong(X0))) [input p2]
5. ? [X0] : (kind(X0) | tall(X0)) => ~creative(alice) [input p4]
6. (quiet(paul) & ~creative(paul)) <=> ? [X0] : ~humble(X0) [... | 0 |
Everyone who is not rich is not creative or patient.
Everyone who is both not humble and not generous is either not calm or not kind and vice versa.
If fred is either humble or not old then someone is both generous and not rich and vice versa.
Everyone who is not creative is strong or tall and vice versa.
If someone is... | John is not generous. | neutral | (![X]:(~rich(X)=>(~creative(X)|patient(X))))&
(![X]:((~humble(X)&~generous(X))<=>(~calm(X)<~>~kind(X))))&
(((humble(fred)<~>~old(fred)))<=>(?[X]:((generous(X)&~rich(X)))))&
(![X]:(~creative(X)<=>(strong(X)|tall(X))))&
((?[X]:((~rich(X)<~>~quiet(X))))<=>(~kind(lucy)))&
(![X]:((~quiet(X)|~tall(X))=>(~kind(X)<~>humble(X))... | ~generous(john) | [] | null | 0 |
If someone is both not generous and not happy then mary is both old and quiet.
If someone is not creative then alice is generous or happy.
Everyone who is calm is not happy and vice versa.
Everyone who is not tall or not kind is either not humble or not tall.
Everyone who is either not brave or not happy is both not cu... | Mary is not curious. | neutral | ((?[X]:((~generous(X)&~happy(X))))=>((old(mary)&quiet(mary))))&
((?[X]:(~creative(X)))=>((generous(alice)|happy(alice))))&
(![X]:(calm(X)<=>~happy(X)))&
(![X]:((~tall(X)|~kind(X))=>(~humble(X)<~>~tall(X))))&
(![X]:((~brave(X)<~>~happy(X))=>(~curious(X)&~calm(X))))&
(![X]:((calm(X)&~funny(X))=>(~curious(X)|wise(X))))&
(... | ~curious(mary) | [] | null | 0 |
If someone is either creative or generous then someone is not funny.
If someone is both rich and wise then someone is not patient and vice versa.
Everyone who is either curious or creative is not creative.
If lucy is curious then someone is happy and vice versa.
Everyone who is either curious or not funny is not creati... | Lucy is not kind. | contradiction | ((?[X]:((creative(X)<~>generous(X))))=>(?[X]:(~funny(X))))&
((?[X]:((rich(X)&wise(X))))<=>(?[X]:(~patient(X))))&
(![X]:((curious(X)<~>creative(X))=>~creative(X)))&
((curious(lucy))<=>(?[X]:(happy(X))))&
(![X]:((curious(X)<~>~funny(X))=>~creative(X)))&
(((~tall(susan)|curious(susan)))<=>((humble(john)&kind(john))))&
(![... | ~kind(lucy) | [
"p2",
"p4",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6325260459464367496447646
% SZS output start Proof for 6325260459464367496447646
3. ! [X0] : ((curious(X0) <~> creative(X0)) => ~creative(X0)) [input p2]
5. ! [X0] : ((curious(X0) <~> ~funny(X0)) => ~creative(X0)) [input p4]
9. (old(lucy) | ~kind(lucy)) => (strong(alice) & ~calm(alice)) [... | 0 |
If susan is both kind and rich then john is calm or kind.
Everyone who is old or kind is both old and creative and vice versa.
Everyone who is not generous is brave or not rich and vice versa.
Everyone who is either funny or not creative is either calm or wise and vice versa.
Everyone who is either quiet or not old is ... | John is not strong. | neutral | (((kind(susan)&rich(susan)))=>((calm(john)|kind(john))))&
(![X]:((old(X)|kind(X))<=>(old(X)&creative(X))))&
(![X]:(~generous(X)<=>(brave(X)|~rich(X))))&
(![X]:((funny(X)<~>~creative(X))<=>(calm(X)<~>wise(X))))&
(![X]:((quiet(X)<~>~old(X))=>(~strong(X)&~quiet(X))))&
(![X]:(happy(X)=>(happy(X)<~>strong(X))))&
((?[X]:((cr... | ~strong(john) | [] | null | 0 |
If alice is both creative and tall then lucy is not brave.
Everyone who is generous or not generous is not patient or generous.
Everyone who is both not old and not patient is old.
If someone is not humble then someone is both brave and generous.
Everyone who is not happy is not rich.
If someone is happy then someone i... | Mary is not funny. | neutral | (((creative(alice)&tall(alice)))=>(~brave(lucy)))&
(![X]:((generous(X)|~generous(X))=>(~patient(X)|generous(X))))&
(![X]:((~old(X)&~patient(X))=>old(X)))&
((?[X]:(~humble(X)))=>(?[X]:((brave(X)&generous(X)))))&
(![X]:(~happy(X)=>~rich(X)))&
((?[X]:(happy(X)))=>(?[X]:((~quiet(X)&strong(X)))))&
(![X]:((tall(X)&rich(X))<=... | ~funny(mary) | [] | null | 0 |
Everyone who is either patient or tall is rich and vice versa.
Everyone who is both not tall and strong is not old.
Everyone who is either generous or curious is not quiet or creative.
If susan is not quiet or curious then susan is either not rich or not creative and vice versa.
Everyone who is both calm and not quiet ... | Lucy is quiet. | contradiction | (![X]:((patient(X)<~>tall(X))<=>rich(X)))&
(![X]:((~tall(X)&strong(X))=>~old(X)))&
(![X]:((generous(X)<~>curious(X))=>(~quiet(X)|creative(X))))&
(((~quiet(susan)|curious(susan)))<=>((~rich(susan)<~>~creative(susan))))&
(![X]:((calm(X)&~quiet(X))<=>(old(X)|~old(X))))&
(![X]:(happy(X)=>(~strong(X)&generous(X))))&
(![X]:(... | quiet(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7609526533509282034847839
% SZS output start Proof for 7609526533509282034847839
5. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (~old(X0) | old(X0))) [input p4]
24. quiet(lucy) [input hypothesis]
46. ! [X0] : (((~quiet(X0) & calm(X0)) | (old(X0) & ~old(X0))) & ((~old(X0) | old(X0)) | (quiet(X0)... | 0 |
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