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 curious or not rich is humble or not calm and vice versa.
Everyone who is both happy and not rich is funny or not creative and vice versa.
Everyone who is either not tall or not curious is both humble and not funny and vice versa.
Everyone who is either not funny or tall is not wise.
If someone is b... | John is not quiet. | neutral | (![X]:((~curious(X)|~rich(X))<=>(humble(X)|~calm(X))))&
(![X]:((happy(X)&~rich(X))<=>(funny(X)|~creative(X))))&
(![X]:((~tall(X)<~>~curious(X))<=>(humble(X)&~funny(X))))&
(![X]:((~funny(X)<~>tall(X))=>~wise(X)))&
((?[X]:((rich(X)&old(X))))=>(?[X]:((brave(X)|humble(X)))))&
(((tall(lucy)|brave(lucy)))=>(?[X]:((patient(X)... | ~quiet(john) | [] | null | 0 |
Everyone who is not humble is not quiet or happy and vice versa.
Everyone who is not tall or not happy is both rich and quiet.
Everyone who is either not curious or kind is humble or patient and vice versa.
Everyone who is not brave is generous or humble and vice versa.
If someone is not happy then someone is not tall ... | Fred is tall. | entailment | (![X]:(~humble(X)<=>(~quiet(X)|happy(X))))&
(![X]:((~tall(X)|~happy(X))=>(rich(X)&quiet(X))))&
(![X]:((~curious(X)<~>kind(X))<=>(humble(X)|patient(X))))&
(![X]:(~brave(X)<=>(generous(X)|humble(X))))&
((?[X]:(~happy(X)))<=>(?[X]:(~tall(X))))&
(![X]:((~calm(X)|~generous(X))<=>(~rich(X)<~>humble(X))))&
(((~strong(lucy)<~>... | tall(fred) | [
"p0",
"p1",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1717014505374905702174869
% SZS output start Proof for 1717014505374905702174869
1. ! [X0] : (~humble(X0) <=> (happy(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((~happy(X0) | ~tall(X0)) => (quiet(X0) & rich(X0))) [input p1]
5. ? [X0] : ~happy(X0) <=> ? [X0] : ~tall(X0) [input p4]
10. ! [X0... | 0 |
Everyone who is either not funny or strong is not humble and vice versa. If alice is either not humble or generous then someone is not creative and vice versa. If someone is rich or strong then someone is not kind or wise and vice versa. If someone is both quiet and funny then someone is not generous. Everyone who is e... | Paul is rich. | neutral | (![X]:((~funny(X)<~>strong(X))<=>~humble(X)))&
(((~humble(alice)<~>generous(alice)))<=>(?[X]:(~creative(X))))&
((?[X]:((rich(X)|strong(X))))<=>(?[X]:((~kind(X)|wise(X)))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~generous(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>generous(X)))&
((?[X]:((~wise(X)|~strong(X))))<=>((generou... | rich(paul) | [] | null | 0 |
If someone is both not rich and creative then paul is both quiet and patient and vice versa.
Everyone who is humble is both not rich and not happy.
Everyone who is either not generous or old is both not brave and not strong.
If susan is not old or not happy then someone is either old or not old.
Everyone who is both no... | Fred is not happy. | neutral | ((?[X]:((~rich(X)&creative(X))))<=>((quiet(paul)&patient(paul))))&
(![X]:(humble(X)=>(~rich(X)&~happy(X))))&
(![X]:((~generous(X)<~>old(X))=>(~brave(X)&~strong(X))))&
(((~old(susan)|~happy(susan)))=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:((~old(X)&~generous(X))<=>~curious(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:((~qu... | ~happy(fred) | [] | null | 0 |
If alice is either generous or quiet then john is not generous or not wise and vice versa.
Everyone who is either calm or strong is either not patient or curious.
Everyone who is both happy and not funny is both calm and not strong.
Everyone who is either not happy or curious is both funny and humble and vice versa.
Ev... | John is not old. | neutral | (((generous(alice)<~>quiet(alice)))<=>((~generous(john)|~wise(john))))&
(![X]:((calm(X)<~>strong(X))=>(~patient(X)<~>curious(X))))&
(![X]:((happy(X)&~funny(X))=>(calm(X)&~strong(X))))&
(![X]:((~happy(X)<~>curious(X))<=>(funny(X)&humble(X))))&
(![X]:((~quiet(X)&generous(X))<=>(~happy(X)|old(X))))&
((?[X]:(~tall(X)))=>((... | ~old(john) | [] | null | 0 |
Everyone who is quiet is not old and vice versa.
If john is both calm and not calm then lucy is not wise.
If someone is both not patient and kind then mary is either not calm or not wise.
Everyone who is not funny or not generous is both happy and brave.
Everyone who is kind or not wise is either not tall or not genero... | Mary is not curious. | contradiction | (![X]:(quiet(X)<=>~old(X)))&
(((calm(john)&~calm(john)))=>(~wise(lucy)))&
((?[X]:((~patient(X)&kind(X))))=>((~calm(mary)<~>~wise(mary))))&
(![X]:((~funny(X)|~generous(X))=>(happy(X)&brave(X))))&
(![X]:((kind(X)|~wise(X))=>(~tall(X)<~>~generous(X))))&
(![X]:(~humble(X)=>(strong(X)<~>creative(X))))&
(![X]:((kind(X)|~wise... | ~curious(mary) | [
"p0",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1776332950689097485735114
% SZS output start Proof for 1776332950689097485735114
1. ! [X0] : (quiet(X0) <=> ~old(X0)) [input p0]
7. ! [X0] : ((~wise(X0) | kind(X0)) <=> (wise(X0) | quiet(X0))) [input p6]
12. ! [X0] : (old(X0) <=> (happy(X0) | quiet(X0))) [input p11]
14. ! [X0] : ((kind(X0... | 0 |
If susan is either not rich or curious then alice is not calm or creative and vice versa.
If susan is both tall and not brave then paul is calm and vice versa.
Everyone who is both not humble and humble is either rich or not brave and vice versa.
Everyone who is both creative and wise is brave.
If someone is not creati... | Paul is curious. | contradiction | (((~rich(susan)<~>curious(susan)))<=>((~calm(alice)|creative(alice))))&
(((tall(susan)&~brave(susan)))<=>(calm(paul)))&
(![X]:((~humble(X)&humble(X))<=>(rich(X)<~>~brave(X))))&
(![X]:((creative(X)&wise(X))=>brave(X)))&
((?[X]:((~creative(X)|wise(X))))<=>(wise(lucy)))&
(![X]:((~funny(X)|~curious(X))=>(~funny(X)<~>~rich(... | curious(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3391170384573732830303356
% SZS output start Proof for 3391170384573732830303356
16. ! [X0] : (curious(X0) => (~curious(X0) & curious(X0))) [input p15]
25. curious(paul) [input hypothesis]
39. ! [X0] : ((~curious(X0) & curious(X0)) | ~curious(X0)) [ennf transformation 16]
134. ~curious(X0... | 0 |
If susan is not kind then alice is both curious and not calm. Everyone who is both not generous and not strong is both wise and funny. If mary is not calm then fred is not strong and vice versa. If mary is not strong then mary is both not wise and funny and vice versa. Everyone who is both curious and wise is both not ... | Lucy is patient. | neutral | ((~kind(susan))=>((curious(alice)&~calm(alice))))&
(![X]:((~generous(X)&~strong(X))=>(wise(X)&funny(X))))&
((~calm(mary))<=>(~strong(fred)))&
((~strong(mary))<=>((~wise(mary)&funny(mary))))&
(![X]:((curious(X)&wise(X))=>(~strong(X)&kind(X))))&
((?[X]:((wise(X)&~tall(X))))<=>((~kind(fred)&humble(fred))))&
(![X]:((~curio... | patient(lucy) | [] | null | 0 |
Everyone who is rich or not creative is either generous or not calm. If someone is generous or wise then fred is not calm. If someone is creative then someone is either not patient or creative and vice versa. If someone is both generous and humble then mary is kind and vice versa. Everyone who is both curious and not w... | Susan is not funny. | contradiction | (![X]:((rich(X)|~creative(X))=>(generous(X)<~>~calm(X))))&
((?[X]:((generous(X)|wise(X))))=>(~calm(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((~patient(X)<~>creative(X)))))&
((?[X]:((generous(X)&humble(X))))<=>(kind(mary)))&
(![X]:((curious(X)&~wise(X))=>(old(X)&~curious(X))))&
(![X]:(~tall(X)=>(generous(X)&~generous(X)))... | ~funny(susan) | [
"p0",
"p5",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 294520199072970134831018
% SZS output start Proof for 294520199072970134831018
1. ! [X0] : ((~creative(X0) | rich(X0)) => (generous(X0) <~> ~calm(X0))) [input p0]
6. ! [X0] : (~tall(X0) => (~generous(X0) & generous(X0))) [input p5]
9. ? [X0] : (~rich(X0) <~> ~tall(X0)) <=> (~funny(susan) ... | 0 |
Everyone who is kind is not creative or not curious. If someone is kind then someone is either wise or not quiet and vice versa. If someone is both not calm and old then someone is not creative or not old. Everyone who is both quiet and not calm is either calm or not strong. If lucy is not happy then susan is not wise ... | John is not calm. | contradiction | (![X]:(kind(X)=>(~creative(X)|~curious(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)<~>~quiet(X)))))&
((?[X]:((~calm(X)&old(X))))=>(?[X]:((~creative(X)|~old(X)))))&
(![X]:((quiet(X)&~calm(X))=>(calm(X)<~>~strong(X))))&
((~happy(lucy))=>((~wise(susan)|strong(susan))))&
(![X]:((~funny(X)|creative(X))<=>kind(X)))&
(![X]:((ta... | ~calm(john) | [
"p3",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6781077006079514260795315
% SZS output start Proof for 6781077006079514260795315
4. ! [X0] : ((~calm(X0) & quiet(X0)) => (calm(X0) <~> ~strong(X0))) [input p3]
14. ! [X0] : ((~calm(X0) | ~happy(X0)) => strong(X0)) [input p13]
18. quiet(john) [input p17]
25. ~calm(john) [input hypothesis]
... | 0 |
Everyone who is both not creative and patient is happy or not brave. Everyone who is old or not strong is either not wise or curious and vice versa. Everyone who is old is both not kind and curious and vice versa. Everyone who is either curious or not rich is both curious and not tall and vice versa. Everyone who is br... | Alice is not patient. | contradiction | (![X]:((~creative(X)&patient(X))=>(happy(X)|~brave(X))))&
(![X]:((old(X)|~strong(X))<=>(~wise(X)<~>curious(X))))&
(![X]:(old(X)<=>(~kind(X)&curious(X))))&
(![X]:((curious(X)<~>~rich(X))<=>(curious(X)&~tall(X))))&
(![X]:(brave(X)=>(humble(X)&~creative(X))))&
((?[X]:((wise(X)&~generous(X))))<=>(?[X]:((creative(X)&rich(X)... | ~patient(alice) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 503835856204499793925403
% SZS output start Proof for 503835856204499793925403
7. ! [X0] : ((~happy(X0) | ~calm(X0)) <=> (patient(X0) & kind(X0))) [input p6]
12. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p11]
25. ~patient(alice) [input hypothesis]
47. ! [X0] : (((~happy(... | 0 |
If susan is not brave then fred is creative or curious and vice versa.
Everyone who is generous is both not brave and generous.
If someone is not strong or funny then someone is both kind and humble and vice versa.
Everyone who is kind or not quiet is both curious and old and vice versa.
Everyone who is strong is eithe... | Susan is curious. | entailment | ((~brave(susan))<=>((creative(fred)|curious(fred))))&
(![X]:(generous(X)=>(~brave(X)&generous(X))))&
((?[X]:((~strong(X)|funny(X))))<=>(?[X]:((kind(X)&humble(X)))))&
(![X]:((kind(X)|~quiet(X))<=>(curious(X)&old(X))))&
(![X]:(strong(X)=>(~strong(X)<~>~old(X))))&
(![X]:((humble(X)&~curious(X))=>~tall(X)))&
((~curious(joh... | curious(susan) | [
"p0",
"p1",
"p3",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 410252681355755569389389
% SZS output start Proof for 410252681355755569389389
1. ~brave(susan) <=> (curious(fred) | creative(fred)) [input p0]
2. ! [X0] : (generous(X0) => (generous(X0) & ~brave(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) | kind(X0)) <=> (old(X0) & curious(X0))) [input p3]... | 0 |
Everyone who is both not strong and not rich is tall and vice versa.
Everyone who is both kind and not patient is either not funny or quiet and vice versa.
Everyone who is quiet is happy or generous and vice versa.
Everyone who is not wise or not rich is both not happy and not brave.
Everyone who is either not curious ... | Alice is not funny. | contradiction | (![X]:((~strong(X)&~rich(X))<=>tall(X)))&
(![X]:((kind(X)&~patient(X))<=>(~funny(X)<~>quiet(X))))&
(![X]:(quiet(X)<=>(happy(X)|generous(X))))&
(![X]:((~wise(X)|~rich(X))=>(~happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(curious(X)|funny(X))))&
(![X]:((~curious(X)|~calm(X))<=>~calm(X)))&
(![X]:((rich(X)<~>cu... | ~funny(alice) | [
"p0",
"p3",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 567496579482639164703528
% SZS output start Proof for 567496579482639164703528
1. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> tall(X0)) [input p0]
4. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~brave(X0) & ~happy(X0))) [input p3]
11. ! [X0] : ((~calm(X0) & old(X0)) <=> (~funny(X0) | ~rich(X0))) [i... | 0 |
If someone is either not calm or strong then someone is both calm and patient.
Everyone who is either not funny or not patient is not generous.
Everyone who is either not tall or not wise is kind.
Everyone who is generous is old or not old and vice versa.
If someone is brave or humble then lucy is both creative and not... | Alice is not funny. | entailment | ((?[X]:((~calm(X)<~>strong(X))))=>(?[X]:((calm(X)&patient(X)))))&
(![X]:((~funny(X)<~>~patient(X))=>~generous(X)))&
(![X]:((~tall(X)<~>~wise(X))=>kind(X)))&
(![X]:(generous(X)<=>(old(X)|~old(X))))&
((?[X]:((brave(X)|humble(X))))<=>((creative(lucy)&~strong(lucy))))&
((?[X]:((~quiet(X)<~>wise(X))))=>(funny(fred)))&
(![X]... | ~funny(alice) | [
"p1",
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1837748007895965510877317
% SZS output start Proof for 1837748007895965510877317
2. ! [X0] : ((~funny(X0) <~> ~patient(X0)) => ~generous(X0)) [input p1]
4. ! [X0] : (generous(X0) <=> (~old(X0) | old(X0))) [input p3]
17. ~patient(alice) & brave(alice) [input p16]
24. funny(alice) [input hy... | 0 |
If someone is both not quiet and strong then alice is both not calm and wise.
If fred is either not patient or brave then mary is both happy and not rich.
If john is not creative then paul is creative or old and vice versa.
If susan is not patient then john is not creative.
Everyone who is both not rich and strong is n... | Alice is not calm. | entailment | ((?[X]:((~quiet(X)&strong(X))))=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(X))<=>~strong(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~curious(X)<~>tall(X)))))&... | ~calm(alice) | [
"p0",
"p4",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1745042077237877484440559
% SZS output start Proof for 1745042077237877484440559
1. ? [X0] : (strong(X0) & ~quiet(X0)) => (wise(alice) & ~calm(alice)) [input p0]
5. ! [X0] : ((strong(X0) & ~rich(X0)) <=> ~strong(X0)) [input p4]
7. ? [X0] : ~generous(X0) <=> (~generous(mary) & ~happy(mary)... | 0 |
If someone is not kind then someone is both quiet and humble and vice versa.
Everyone who is either quiet or not strong is rich or tall.
Everyone who is calm or not generous is either calm or not happy.
Everyone who is both not wise and old is either wise or not happy.
Everyone who is kind or not funny is both not crea... | Susan is not funny. | entailment | ((?[X]:(~kind(X)))<=>(?[X]:((quiet(X)&humble(X)))))&
(![X]:((quiet(X)<~>~strong(X))=>(rich(X)|tall(X))))&
(![X]:((calm(X)|~generous(X))=>(calm(X)<~>~happy(X))))&
(![X]:((~wise(X)&old(X))=>(wise(X)<~>~happy(X))))&
(![X]:((kind(X)|~funny(X))<=>(~creative(X)&~funny(X))))&
(((funny(susan)|kind(susan)))=>((kind(susan)|~funn... | ~funny(susan) | [
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8099613157451640571315827
% SZS output start Proof for 8099613157451640571315827
5. ! [X0] : ((~funny(X0) | kind(X0)) <=> (~funny(X0) & ~creative(X0))) [input p4]
6. (kind(susan) | funny(susan)) => (~funny(susan) | kind(susan)) [input p5]
25. funny(susan) [input hypothesis]
34. (~funny(su... | 0 |
Everyone who is creative or not happy is kind and vice versa.
If someone is not old or humble then someone is kind.
Everyone who is both not tall and not kind is either not kind or rich.
Everyone who is both not old and not generous is both quiet and rich.
If paul is not generous then lucy is kind.
If paul is both humb... | Mary is strong. | neutral | (![X]:((creative(X)|~happy(X))<=>kind(X)))&
((?[X]:((~old(X)|humble(X))))=>(?[X]:(kind(X))))&
(![X]:((~tall(X)&~kind(X))=>(~kind(X)<~>rich(X))))&
(![X]:((~old(X)&~generous(X))=>(quiet(X)&rich(X))))&
((~generous(paul))=>(kind(lucy)))&
(((humble(paul)&~strong(paul)))<=>(?[X]:(tall(X))))&
(![X]:((~kind(X)&~curious(X))<=>k... | strong(mary) | [] | null | 0 |
If someone is brave then mary is both not generous and old and vice versa. Everyone who is either tall or curious is either happy or not calm. Everyone who is both not kind and not creative is both not generous and not old. Everyone who is not brave is either not happy or not brave. If paul is rich then paul is not wis... | Mary is not humble. | entailment | ((?[X]:(brave(X)))<=>((~generous(mary)&old(mary))))&
(![X]:((tall(X)<~>curious(X))=>(happy(X)<~>~calm(X))))&
(![X]:((~kind(X)&~creative(X))=>(~generous(X)&~old(X))))&
(![X]:(~brave(X)=>(~happy(X)<~>~brave(X))))&
((rich(paul))<=>((~wise(paul)|~generous(paul))))&
(![X]:(~kind(X)<=>happy(X)))&
(((wise(john)&~calm(john)))=... | ~humble(mary) | [
"p0",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9128516300951365277235374
% SZS output start Proof for 9128516300951365277235374
1. ? [X0] : brave(X0) <=> (old(mary) & ~generous(mary)) [input p0]
16. ! [X0] : ((~humble(X0) <~> old(X0)) => (~old(X0) & ~rich(X0))) [input p15]
22. ? [X0] : brave(X0) [input p21]
24. humble(mary) [input hyp... | 0 |
If john is both not kind and not creative then mary is kind or generous. Everyone who is either humble or quiet is brave or not brave and vice versa. Everyone who is not tall or not generous is both not tall and funny and vice versa. If fred is either not rich or not humble then john is both not calm and not curious an... | Paul is not tall. | contradiction | (((~kind(john)&~creative(john)))=>((kind(mary)|generous(mary))))&
(![X]:((humble(X)<~>quiet(X))<=>(brave(X)|~brave(X))))&
(![X]:((~tall(X)|~generous(X))<=>(~tall(X)&funny(X))))&
(((~rich(fred)<~>~humble(fred)))<=>((~calm(john)&~curious(john))))&
(((~creative(mary)&patient(mary)))=>(?[X]:((~funny(X)&~humble(X)))))&
(![X... | ~tall(paul) | [
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 389695413579808803959505
% SZS output start Proof for 389695413579808803959505
6. ! [X0] : (patient(X0) => (tall(X0) & ~humble(X0))) [input p5]
13. ! [X0] : ((~tall(X0) | funny(X0)) <=> (patient(X0) & quiet(X0))) [input p12]
25. ~tall(paul) [input hypothesis]
31. ! [X0] : ((tall(X0) & ~hu... | 0 |
Everyone who is not creative is either curious or kind and vice versa.
Everyone who is both not funny and rich is both not calm and humble.
Everyone who is rich is funny or not curious.
If someone is both brave and patient then susan is happy and vice versa.
Everyone who is both quiet and not humble is brave or curious... | Susan is not humble. | entailment | (![X]:(~creative(X)<=>(curious(X)<~>kind(X))))&
(![X]:((~funny(X)&rich(X))=>(~calm(X)&humble(X))))&
(![X]:(rich(X)=>(funny(X)|~curious(X))))&
((?[X]:((brave(X)&patient(X))))<=>(happy(susan)))&
(![X]:((quiet(X)&~humble(X))=>(brave(X)|curious(X))))&
(![X]:((~curious(X)&~tall(X))<=>(~tall(X)<~>~happy(X))))&
((?[X]:((patie... | ~humble(susan) | [
"p15",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2775921823843887092928728
% SZS output start Proof for 2775921823843887092928728
16. ! [X0] : ((~humble(X0) <~> rich(X0)) <=> (~wise(X0) & ~kind(X0))) [input p15]
17. kind(susan) & ~strong(susan) [input p16]
18. rich(susan) [input p17]
24. humble(susan) [input hypothesis]
61. ! [X0] : (((... | 0 |
If someone is not rich then alice is generous or not tall. If someone is either quiet or not strong then paul is either not patient or not quiet and vice versa. If fred is not old or not tall then someone is either old or not calm and vice versa. Everyone who is not humble or quiet is not quiet and vice versa. If someo... | Fred is humble. | contradiction | ((?[X]:(~rich(X)))=>((generous(alice)|~tall(alice))))&
((?[X]:((quiet(X)<~>~strong(X))))<=>((~patient(paul)<~>~quiet(paul))))&
(((~old(fred)|~tall(fred)))<=>(?[X]:((old(X)<~>~calm(X)))))&
(![X]:((~humble(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((~curious(X)<~>old(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~kind(X)<~>old(X))=>~fun... | humble(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2912963889966332925898579
% SZS output start Proof for 2912963889966332925898579
4. ! [X0] : ((quiet(X0) | ~humble(X0)) <=> ~quiet(X0)) [input p3]
25. humble(fred) [input hypothesis]
46. ! [X0] : (((quiet(X0) | ~humble(X0)) | quiet(X0)) & (~quiet(X0) | (~quiet(X0) & humble(X0)))) [nnf tra... | 0 |
If john is either wise or brave then john is not calm.
Everyone who is patient is generous or rich and vice versa.
Everyone who is both not rich and rich is not tall and vice versa.
Everyone who is kind is either humble or not rich and vice versa.
If someone is tall then paul is both not curious and not strong.
Everyon... | Lucy is not humble. | entailment | (((wise(john)<~>brave(john)))=>(~calm(john)))&
(![X]:(patient(X)<=>(generous(X)|rich(X))))&
(![X]:((~rich(X)&rich(X))<=>~tall(X)))&
(![X]:(kind(X)<=>(humble(X)<~>~rich(X))))&
((?[X]:(tall(X)))=>((~curious(paul)&~strong(paul))))&
(![X]:(brave(X)=>(~brave(X)<~>patient(X))))&
(![X]:((~brave(X)&kind(X))<=>patient(X)))&
(![... | ~humble(lucy) | [
"p3",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4209177177390676189625605
% SZS output start Proof for 4209177177390676189625605
4. ! [X0] : (kind(X0) <=> (humble(X0) <~> ~rich(X0))) [input p3]
8. ! [X0] : ((humble(X0) & funny(X0)) => (~humble(X0) & ~patient(X0))) [input p7]
11. ! [X0] : ((~generous(X0) | wise(X0)) => (~patient(X0) & ~... | 0 |
If someone is both funny and not happy then paul is quiet.
Everyone who is not wise or not creative is both old and not creative and vice versa.
If someone is both not patient and calm then john is both rich and not generous.
If someone is either not patient or creative then someone is not funny.
Everyone who is both n... | John is brave. | entailment | ((?[X]:((funny(X)&~happy(X))))=>(quiet(paul)))&
(![X]:((~wise(X)|~creative(X))<=>(old(X)&~creative(X))))&
((?[X]:((~patient(X)&calm(X))))=>((rich(john)&~generous(john))))&
((?[X]:((~patient(X)<~>creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((~brave(X)&kind(X))=>funny(X)))&
(((curious(susan)&happy(susan)))=>((quiet(alice)... | brave(john) | [
"p1",
"p3",
"p7",
"p8",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7049792593390184867447789
% SZS output start Proof for 7049792593390184867447789
2. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> (~creative(X0) & old(X0))) [input p1]
4. ? [X0] : (~patient(X0) <~> creative(X0)) => ? [X0] : ~funny(X0) [input p3]
8. ! [X0] : (~humble(X0) <=> (~rich(X0) & kind(... | 0 |
Everyone who is both not quiet and not humble is funny or humble and vice versa. If someone is not quiet or generous then fred is both not strong and quiet and vice versa. If fred is both kind and not rich then alice is either humble or strong and vice versa. If alice is both strong and tall then someone is not calm or... | Alice is strong. | contradiction | (![X]:((~quiet(X)&~humble(X))<=>(funny(X)|humble(X))))&
((?[X]:((~quiet(X)|generous(X))))<=>((~strong(fred)&quiet(fred))))&
(((kind(fred)&~rich(fred)))<=>((humble(alice)<~>strong(alice))))&
(((strong(alice)&tall(alice)))=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((funny(X)<~>~humble(X))<=>(quiet(X)|~curious(X))))&
(![X]:((... | strong(alice) | [
"p0",
"p1",
"p2",
"p8",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7417076372349330988853143
% SZS output start Proof for 7417076372349330988853143
1. ! [X0] : ((~humble(X0) & ~quiet(X0)) <=> (humble(X0) | funny(X0))) [input p0]
2. ? [X0] : (generous(X0) | ~quiet(X0)) <=> (quiet(fred) & ~strong(fred)) [input p1]
3. (~rich(fred) & kind(fred)) <=> (humble(... | 0 |
Everyone who is brave or not strong is creative or not creative and vice versa.
Everyone who is both not quiet and not wise is both rich and not funny and vice versa.
If alice is both curious and not happy then alice is not old or tall and vice versa.
If lucy is both calm and not creative then someone is both funny and... | Alice is not funny. | entailment | (![X]:((brave(X)|~strong(X))<=>(creative(X)|~creative(X))))&
(![X]:((~quiet(X)&~wise(X))<=>(rich(X)&~funny(X))))&
(((curious(alice)&~happy(alice)))<=>((~old(alice)|tall(alice))))&
(((calm(lucy)&~creative(lucy)))=>(?[X]:((funny(X)&old(X)))))&
(((~rich(mary)&creative(mary)))<=>((~happy(susan)|~creative(susan))))&
(((curi... | ~funny(alice) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 650898738438330351234358
% SZS output start Proof for 650898738438330351234358
14. ! [X0] : (funny(X0) <=> (~kind(X0) & ~strong(X0))) [input p13]
16. ! [X0] : ((~strong(X0) | kind(X0)) => (~humble(X0) & ~funny(X0))) [input p15]
22. funny(alice) [input hypothesis]
25. ! [X0] : ((~strong(X0... | 0 |
Everyone who is humble or rich is kind.
If someone is both not funny and old then someone is wise.
If someone is not old or not wise then someone is either not old or not brave.
If someone is patient or creative then mary is not curious or quiet.
Everyone who is not generous is not happy and vice versa.
If someone is b... | Susan is not funny. | neutral | (![X]:((humble(X)|rich(X))=>kind(X)))&
((?[X]:((~funny(X)&old(X))))=>(?[X]:(wise(X))))&
((?[X]:((~old(X)|~wise(X))))=>(?[X]:((~old(X)<~>~brave(X)))))&
((?[X]:((patient(X)|creative(X))))=>((~curious(mary)|quiet(mary))))&
(![X]:(~generous(X)<=>~happy(X)))&
((?[X]:((~brave(X)&~strong(X))))<=>((~tall(lucy)<~>rich(lucy))))&... | ~funny(susan) | [] | null | 0 |
If susan is humble then john is either not wise or not patient and vice versa.
If john is either calm or curious then someone is either generous or curious.
Everyone who is either not happy or funny is brave or not strong.
Everyone who is either not wise or humble is both humble and quiet.
Everyone who is funny is eith... | Lucy is calm. | contradiction | ((humble(susan))<=>((~wise(john)<~>~patient(john))))&
(((calm(john)<~>curious(john)))=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((~happy(X)<~>funny(X))=>(brave(X)|~strong(X))))&
(![X]:((~wise(X)<~>humble(X))=>(humble(X)&quiet(X))))&
(![X]:(funny(X)=>(kind(X)<~>funny(X))))&
((?[X]:((generous(X)&calm(X))))=>((~wise(lu... | calm(lucy) | [
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 797902906708209581494193
% SZS output start Proof for 797902906708209581494193
11. ! [X0] : ((~calm(X0) <~> rich(X0)) <=> ~calm(X0)) [input p10]
16. ! [X0] : ((~rich(X0) | ~creative(X0)) => (~creative(X0) & wise(X0))) [input p15]
19. calm(lucy) <~> ~creative(lucy) [input p18]
25. calm(luc... | 0 |
Everyone who is strong or not wise is brave and vice versa.
Everyone who is rich is quiet or kind.
If someone is either not funny or not strong then fred is not old and vice versa.
Everyone who is both generous and quiet is either humble or not humble.
If someone is both not tall and happy then lucy is not patient or q... | Alice is old. | contradiction | (![X]:((strong(X)|~wise(X))<=>brave(X)))&
(![X]:(rich(X)=>(quiet(X)|kind(X))))&
((?[X]:((~funny(X)<~>~strong(X))))<=>(~old(fred)))&
(![X]:((generous(X)&quiet(X))=>(humble(X)<~>~humble(X))))&
((?[X]:((~tall(X)&happy(X))))=>((~patient(lucy)|quiet(lucy))))&
(![X]:((~patient(X)&~rich(X))=>strong(X)))&
(![X]:((rich(X)&stron... | old(alice) | [
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1302621603779673334964542
% SZS output start Proof for 1302621603779673334964542
9. ! [X0] : ((~old(X0) | ~kind(X0)) => (~happy(X0) & ~old(X0))) [input p8]
10. ! [X0] : ((generous(X0) | old(X0)) <=> (~quiet(X0) & calm(X0))) [input p9]
11. ! [X0] : (~quiet(X0) => ~kind(X0)) [input p10]
25.... | 0 |
Everyone who is both tall and brave is humble and vice versa.
Everyone who is both calm and not tall is both not strong and generous and vice versa.
Everyone who is either not kind or wise is not generous or generous.
If paul is not wise or not rich then someone is not generous or not kind.
Everyone who is both not qui... | Alice is not patient. | neutral | (![X]:((tall(X)&brave(X))<=>humble(X)))&
(![X]:((calm(X)&~tall(X))<=>(~strong(X)&generous(X))))&
(![X]:((~kind(X)<~>wise(X))=>(~generous(X)|generous(X))))&
(((~wise(paul)|~rich(paul)))=>(?[X]:((~generous(X)|~kind(X)))))&
(![X]:((~quiet(X)&kind(X))<=>(generous(X)<~>~old(X))))&
(![X]:(old(X)<=>(~wise(X)&strong(X))))&
(![... | ~patient(alice) | [] | null | 0 |
Everyone who is both not calm and wise is either not happy or not generous and vice versa. Everyone who is not calm or strong is both curious and not curious and vice versa. Everyone who is both rich and kind is both humble and not humble and vice versa. If someone is either strong or not creative then john is humble a... | Mary is strong. | contradiction | (![X]:((~calm(X)&wise(X))<=>(~happy(X)<~>~generous(X))))&
(![X]:((~calm(X)|strong(X))<=>(curious(X)&~curious(X))))&
(![X]:((rich(X)&kind(X))<=>(humble(X)&~humble(X))))&
((?[X]:((strong(X)<~>~creative(X))))<=>(humble(john)))&
(![X]:((calm(X)<~>rich(X))=>(~humble(X)|funny(X))))&
(![X]:(~generous(X)=>~patient(X)))&
(![X]:... | strong(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 417099121323328449310802
% SZS output start Proof for 417099121323328449310802
2. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (~curious(X0) & curious(X0))) [input p1]
25. strong(mary) [input hypothesis]
39. ! [X0] : (((strong(X0) | ~calm(X0)) | (curious(X0) | ~curious(X0))) & ((~curious(X0) & ... | 0 |
If susan is kind or quiet then fred is either generous or calm and vice versa.
Everyone who is both not old and not creative is both creative and not wise and vice versa.
Everyone who is old or not calm is brave or generous and vice versa.
Everyone who is not brave is brave or tall and vice versa.
If someone is old or ... | Paul is not strong. | neutral | (((kind(susan)|quiet(susan)))<=>((generous(fred)<~>calm(fred))))&
(![X]:((~old(X)&~creative(X))<=>(creative(X)&~wise(X))))&
(![X]:((old(X)|~calm(X))<=>(brave(X)|generous(X))))&
(![X]:(~brave(X)<=>(brave(X)|tall(X))))&
((?[X]:((old(X)|wise(X))))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)<~>kind(X))<=>rich(X)))&
(![X]:((kin... | ~strong(paul) | [] | null | 0 |
Everyone who is not generous is not humble or not calm and vice versa.
Everyone who is either not calm or not strong is not funny.
If fred is not brave or not curious then someone is both curious and not generous and vice versa.
Everyone who is both not happy and not curious is old or not wise.
Everyone who is curious ... | Fred is happy. | contradiction | (![X]:(~generous(X)<=>(~humble(X)|~calm(X))))&
(![X]:((~calm(X)<~>~strong(X))=>~funny(X)))&
(((~brave(fred)|~curious(fred)))<=>(?[X]:((curious(X)&~generous(X)))))&
(![X]:((~happy(X)&~curious(X))=>(old(X)|~wise(X))))&
(![X]:((curious(X)|tall(X))<=>~rich(X)))&
((?[X]:((quiet(X)|~generous(X))))=>((~generous(fred)&strong(f... | happy(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7588980835800275359568823
% SZS output start Proof for 7588980835800275359568823
7. ! [X0] : ((happy(X0) <~> ~rich(X0)) <=> ~rich(X0)) [input p6]
22. happy(fred) [input hypothesis]
43. ! [X0] : ((((rich(X0) | ~happy(X0)) & (~rich(X0) | happy(X0))) | rich(X0)) & (~rich(X0) | ((happy(X0) | ... | 0 |
Everyone who is rich is strong and vice versa.
If susan is either not kind or not patient then someone is rich or not happy.
Everyone who is either strong or kind is both generous and brave and vice versa.
Everyone who is not brave or happy is either not rich or patient.
If someone is not quiet or not wise then someone... | Susan is creative. | neutral | (![X]:(rich(X)<=>strong(X)))&
(((~kind(susan)<~>~patient(susan)))=>(?[X]:((rich(X)|~happy(X)))))&
(![X]:((strong(X)<~>kind(X))<=>(generous(X)&brave(X))))&
(![X]:((~brave(X)|happy(X))=>(~rich(X)<~>patient(X))))&
((?[X]:((~quiet(X)|~wise(X))))<=>(?[X]:((~curious(X)<~>happy(X)))))&
((?[X]:((funny(X)&rich(X))))=>((~creativ... | creative(susan) | [] | null | 0 |
Everyone who is not funny is either strong or old.
If paul is both not calm and not old then john is both not strong and not rich.
If susan is both not calm and not old then someone is not strong.
If susan is not happy then lucy is either humble or quiet and vice versa.
Everyone who is either not calm or quiet is eithe... | John is not rich. | neutral | (![X]:(~funny(X)=>(strong(X)<~>old(X))))&
(((~calm(paul)&~old(paul)))=>((~strong(john)&~rich(john))))&
(((~calm(susan)&~old(susan)))=>(?[X]:(~strong(X))))&
((~happy(susan))<=>((humble(lucy)<~>quiet(lucy))))&
(![X]:((~calm(X)<~>quiet(X))=>(brave(X)<~>quiet(X))))&
(![X]:((happy(X)&strong(X))=>~patient(X)))&
(![X]:((~kind... | ~rich(john) | [] | null | 0 |
Everyone who is both strong and not calm is not quiet and vice versa.
Everyone who is happy is both not curious and curious.
If paul is both not quiet and happy then someone is either rich or not creative and vice versa.
Everyone who is either not rich or not strong is strong and vice versa.
If susan is both not brave ... | Lucy is funny. | contradiction | (![X]:((strong(X)&~calm(X))<=>~quiet(X)))&
(![X]:(happy(X)=>(~curious(X)&curious(X))))&
(((~quiet(paul)&happy(paul)))<=>(?[X]:((rich(X)<~>~creative(X)))))&
(![X]:((~rich(X)<~>~strong(X))<=>strong(X)))&
(((~brave(susan)&~quiet(susan)))=>(?[X]:((brave(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~brave(X))... | funny(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6471135459709070944330370
% SZS output start Proof for 6471135459709070944330370
20. ~funny(lucy) & brave(lucy) [input p19]
23. funny(lucy) [input hypothesis]
130. ~funny(lucy) [cnf transformation 20]
134. funny(lucy) [cnf transformation 23]
173. 8 <=> funny(lucy) [avatar definition]
206.... | 0 |
If someone is kind or not humble then fred is both not wise and creative and vice versa. Everyone who is not tall is both not funny and not wise. Everyone who is not curious or not calm is funny and vice versa. Everyone who is both not tall and not strong is either not wise or not humble. Everyone who is humble is funn... | Fred is quiet. | neutral | ((?[X]:((kind(X)|~humble(X))))<=>((~wise(fred)&creative(fred))))&
(![X]:(~tall(X)=>(~funny(X)&~wise(X))))&
(![X]:((~curious(X)|~calm(X))<=>funny(X)))&
(![X]:((~tall(X)&~strong(X))=>(~wise(X)<~>~humble(X))))&
(![X]:(humble(X)<=>funny(X)))&
(![X]:((~happy(X)<~>funny(X))=>~calm(X)))&
((?[X]:((tall(X)|~patient(X))))<=>(?[X... | quiet(fred) | [] | null | 0 |
Everyone who is either quiet or not kind is both not creative and generous.
If someone is not patient or not creative then someone is both not rich and generous and vice versa.
Everyone who is not tall is kind and vice versa.
Everyone who is both wise and brave is both not generous and not brave.
If susan is both not r... | Susan is not quiet. | contradiction | (![X]:((quiet(X)<~>~kind(X))=>(~creative(X)&generous(X))))&
((?[X]:((~patient(X)|~creative(X))))<=>(?[X]:((~rich(X)&generous(X)))))&
(![X]:(~tall(X)<=>kind(X)))&
(![X]:((wise(X)&brave(X))=>(~generous(X)&~brave(X))))&
(((~rich(susan)&brave(susan)))<=>(?[X]:(curious(X))))&
(![X]:((patient(X)&happy(X))<=>(~humble(X)&rich(... | ~quiet(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1179676785541918500810444
% SZS output start Proof for 1179676785541918500810444
15. ! [X0] : ((old(X0) | ~quiet(X0)) <=> (creative(X0) & ~creative(X0))) [input p14]
25. ~quiet(susan) [input hypothesis]
72. ! [X0] : (((old(X0) | ~quiet(X0)) | (~creative(X0) | creative(X0))) & ((creative(X... | 0 |
Everyone who is not strong is not patient and vice versa. Everyone who is not old or not creative is both generous and not strong. Everyone who is both wise and strong is not funny and vice versa. Everyone who is not happy or creative is both curious and quiet and vice versa. Everyone who is either not happy or not cal... | Mary is old. | entailment | (![X]:(~strong(X)<=>~patient(X)))&
(![X]:((~old(X)|~creative(X))=>(generous(X)&~strong(X))))&
(![X]:((wise(X)&strong(X))<=>~funny(X)))&
(![X]:((~happy(X)|creative(X))<=>(curious(X)&quiet(X))))&
(![X]:((~happy(X)<~>~calm(X))=>brave(X)))&
(((~funny(lucy)<~>~curious(lucy)))=>((funny(susan)&strong(susan))))&
(![X]:((~stron... | old(mary) | [
"p0",
"p1",
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2641733029866653988475159
% SZS output start Proof for 2641733029866653988475159
1. ! [X0] : (~strong(X0) <=> ~patient(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~old(X0)) => (~strong(X0) & generous(X0))) [input p1]
3. ! [X0] : ((strong(X0) & wise(X0)) <=> ~funny(X0)) [input p2]
7. ! [... | 0 |
If someone is both quiet and happy then someone is not funny or not happy. Everyone who is not wise is funny or not creative. Everyone who is either not old or not calm is both not wise and not quiet. Everyone who is either tall or kind is humble or not strong and vice versa. Everyone who is curious or rich is either n... | Alice is not rich. | entailment | ((?[X]:((quiet(X)&happy(X))))=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:(~wise(X)=>(funny(X)|~creative(X))))&
(![X]:((~old(X)<~>~calm(X))=>(~wise(X)&~quiet(X))))&
(![X]:((tall(X)<~>kind(X))<=>(humble(X)|~strong(X))))&
(![X]:((curious(X)|rich(X))=>(~old(X)<~>~tall(X))))&
((?[X]:((~patient(X)|brave(X))))=>(?[X]:((~patient(... | ~rich(alice) | [
"p4",
"p8",
"p18",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5385771719966636787131774
% SZS output start Proof for 5385771719966636787131774
5. ! [X0] : ((rich(X0) | curious(X0)) => (~old(X0) <~> ~tall(X0))) [input p4]
9. ! [X0] : ((generous(X0) <~> calm(X0)) <=> (~rich(X0) | ~old(X0))) [input p8]
19. ~calm(alice) | old(alice) [input p18]
21. pati... | 0 |
Everyone who is not generous is either generous or not wise and vice versa.
Everyone who is creative or rich is tall or not funny and vice versa.
If someone is not calm or not tall then lucy is both not strong and not old.
If someone is both patient and not curious then someone is creative or not quiet and vice versa.
... | Susan is not funny. | neutral | (![X]:(~generous(X)<=>(generous(X)<~>~wise(X))))&
(![X]:((creative(X)|rich(X))<=>(tall(X)|~funny(X))))&
((?[X]:((~calm(X)|~tall(X))))=>((~strong(lucy)&~old(lucy))))&
((?[X]:((patient(X)&~curious(X))))<=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:(calm(X)<=>(~calm(X)<~>~patient(X))))&
(![X]:((~tall(X)<~>tall(X))<=>(~creat... | ~funny(susan) | [] | null | 0 |
Everyone who is either funny or not old is both rich and not patient and vice versa.
Everyone who is old or not curious is not curious and vice versa.
If someone is either not calm or not wise then fred is funny or old and vice versa.
Everyone who is rich is not brave or not strong.
Everyone who is not creative or tall... | Susan is old. | neutral | (![X]:((funny(X)<~>~old(X))<=>(rich(X)&~patient(X))))&
(![X]:((old(X)|~curious(X))<=>~curious(X)))&
((?[X]:((~calm(X)<~>~wise(X))))<=>((funny(fred)|old(fred))))&
(![X]:(rich(X)=>(~brave(X)|~strong(X))))&
(![X]:((~creative(X)|tall(X))<=>humble(X)))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:((creative(X)&quiet(X)))))&
... | old(susan) | [] | null | 0 |
Everyone who is either creative or funny is either not creative or not old and vice versa.
Everyone who is wise or not humble is happy or curious.
If alice is rich then someone is rich or not wise.
Everyone who is creative is not humble.
If fred is not generous or not brave then someone is not patient or not old.
If al... | Lucy is humble. | neutral | (![X]:((creative(X)<~>funny(X))<=>(~creative(X)<~>~old(X))))&
(![X]:((wise(X)|~humble(X))=>(happy(X)|curious(X))))&
((rich(alice))=>(?[X]:((rich(X)|~wise(X)))))&
(![X]:(creative(X)=>~humble(X)))&
(((~generous(fred)|~brave(fred)))=>(?[X]:((~patient(X)|~old(X)))))&
(((~rich(alice)|~patient(alice)))=>(?[X]:((~happy(X)&wis... | humble(lucy) | [] | null | 0 |
Everyone who is either curious or not curious is not rich or not calm.
Everyone who is either not generous or tall is tall or not funny.
Everyone who is not kind is both calm and generous and vice versa.
If someone is both not curious and not generous then someone is quiet or brave and vice versa.
If someone is either ... | Alice is not strong. | neutral | (![X]:((curious(X)<~>~curious(X))=>(~rich(X)|~calm(X))))&
(![X]:((~generous(X)<~>tall(X))=>(tall(X)|~funny(X))))&
(![X]:(~kind(X)<=>(calm(X)&generous(X))))&
((?[X]:((~curious(X)&~generous(X))))<=>(?[X]:((quiet(X)|brave(X)))))&
((?[X]:((~calm(X)<~>strong(X))))<=>(~quiet(paul)))&
(![X]:(~curious(X)<=>(calm(X)&old(X))))&
... | ~strong(alice) | [] | null | 0 |
If someone is funny or generous then lucy is not calm. Everyone who is not tall is not calm or not kind and vice versa. Everyone who is either not strong or not happy is not quiet or kind and vice versa. Everyone who is not wise is old. If someone is both wise and brave then someone is not happy or quiet and vice versa... | Alice is wise. | neutral | ((?[X]:((funny(X)|generous(X))))=>(~calm(lucy)))&
(![X]:(~tall(X)<=>(~calm(X)|~kind(X))))&
(![X]:((~strong(X)<~>~happy(X))<=>(~quiet(X)|kind(X))))&
(![X]:(~wise(X)=>old(X)))&
((?[X]:((wise(X)&brave(X))))<=>(?[X]:((~happy(X)|quiet(X)))))&
((?[X]:((strong(X)<~>old(X))))<=>((strong(fred)|~curious(fred))))&
(![X]:((humble(... | wise(alice) | [] | null | 0 |
If someone is not kind then fred is not generous or not brave and vice versa.
Everyone who is not strong is both not rich and not old and vice versa.
If someone is not generous or not quiet then someone is both not creative and not funny and vice versa.
Everyone who is not generous is both generous and not quiet and vi... | Lucy is creative. | neutral | ((?[X]:(~kind(X)))<=>((~generous(fred)|~brave(fred))))&
(![X]:(~strong(X)<=>(~rich(X)&~old(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((~creative(X)&~funny(X)))))&
(![X]:(~generous(X)<=>(generous(X)&~quiet(X))))&
(![X]:((kind(X)&humble(X))<=>~creative(X)))&
(((~curious(lucy)<~>~old(lucy)))=>((patient(fred)|~stro... | creative(lucy) | [] | null | 0 |
If fred is either kind or not tall then someone is not strong or not curious.
Everyone who is either not calm or not brave is kind or curious and vice versa.
Everyone who is humble or kind is both not kind and not generous and vice versa.
Everyone who is not wise is both not generous and humble and vice versa.
Everyone... | Lucy is generous. | entailment | (((kind(fred)<~>~tall(fred)))=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((~calm(X)<~>~brave(X))<=>(kind(X)|curious(X))))&
(![X]:((humble(X)|kind(X))<=>(~kind(X)&~generous(X))))&
(![X]:(~wise(X)<=>(~generous(X)&humble(X))))&
(![X]:((generous(X)|humble(X))=>(wise(X)&happy(X))))&
((?[X]:((wise(X)&creative(X))))=>(?[X]:((... | generous(lucy) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6543648953869877838138640
% SZS output start Proof for 6543648953869877838138640
3. ! [X0] : ((kind(X0) | humble(X0)) <=> (~generous(X0) & ~kind(X0))) [input p2]
4. ! [X0] : (~wise(X0) <=> (humble(X0) & ~generous(X0))) [input p3]
5. ! [X0] : ((humble(X0) | generous(X0)) => (happy(X0) & wi... | 0 |
Everyone who is both strong and not calm is both patient and not tall.
If someone is tall or rich then someone is either strong or not humble.
Everyone who is either old or funny is both not wise and not patient.
Everyone who is either wise or funny is both wise and not creative.
If someone is both not funny and creati... | Alice is kind. | neutral | (![X]:((strong(X)&~calm(X))=>(patient(X)&~tall(X))))&
((?[X]:((tall(X)|rich(X))))=>(?[X]:((strong(X)<~>~humble(X)))))&
(![X]:((old(X)<~>funny(X))=>(~wise(X)&~patient(X))))&
(![X]:((wise(X)<~>funny(X))=>(wise(X)&~creative(X))))&
((?[X]:((~funny(X)&creative(X))))<=>(~brave(john)))&
(((tall(alice)&kind(alice)))=>(?[X]:(~f... | kind(alice) | [] | null | 0 |
If mary is not humble or not strong then fred is not creative and vice versa.
If someone is either strong or kind then someone is either wise or happy.
Everyone who is either kind or not strong is tall and vice versa.
Everyone who is kind or rich is not strong or calm.
If fred is creative then someone is not funny and ... | Fred is not kind. | neutral | (((~humble(mary)|~strong(mary)))<=>(~creative(fred)))&
((?[X]:((strong(X)<~>kind(X))))=>(?[X]:((wise(X)<~>happy(X)))))&
(![X]:((kind(X)<~>~strong(X))<=>tall(X)))&
(![X]:((kind(X)|rich(X))=>(~strong(X)|calm(X))))&
((creative(fred))<=>(?[X]:(~funny(X))))&
(![X]:((~brave(X)&patient(X))<=>brave(X)))&
((?[X]:((patient(X)&br... | ~kind(fred) | [] | null | 0 |
Everyone who is either happy or quiet is both tall and not strong and vice versa.
Everyone who is not quiet or not funny is both quiet and old and vice versa.
Everyone who is old is either not curious or calm and vice versa.
If fred is both not old and patient then alice is both humble and not wise.
If alice is generou... | Mary is not happy. | entailment | (![X]:((happy(X)<~>quiet(X))<=>(tall(X)&~strong(X))))&
(![X]:((~quiet(X)|~funny(X))<=>(quiet(X)&old(X))))&
(![X]:(old(X)<=>(~curious(X)<~>calm(X))))&
(((~old(fred)&patient(fred)))=>((humble(alice)&~wise(alice))))&
(((generous(alice)|~tall(alice)))<=>(?[X]:((~calm(X)|rich(X)))))&
(((~kind(lucy)&wise(lucy)))=>(?[X]:(brav... | ~happy(mary) | [
"p1",
"p6",
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6396725558737949674585155
% SZS output start Proof for 6396725558737949674585155
2. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (old(X0) & quiet(X0))) [input p1]
7. ? [X0] : (quiet(X0) <~> ~calm(X0)) <=> ? [X0] : (~humble(X0) & ~curious(X0)) [input p6]
8. ! [X0] : ((~generous(X0) | generous(X... | 0 |
Everyone who is curious or not wise is both kind and generous and vice versa. If alice is either curious or old then someone is both happy and kind. Everyone who is either not brave or curious is happy. Everyone who is not tall or not generous is either tall or not rich and vice versa. If alice is wise or not brave the... | Fred is not quiet. | entailment | (![X]:((curious(X)|~wise(X))<=>(kind(X)&generous(X))))&
(((curious(alice)<~>old(alice)))=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((~brave(X)<~>curious(X))=>happy(X)))&
(![X]:((~tall(X)|~generous(X))<=>(tall(X)<~>~rich(X))))&
(((wise(alice)|~brave(alice)))<=>((quiet(fred)&~kind(fred))))&
((~humble(alice))=>(?[X]:((~old(X)&... | ~quiet(fred) | [
"p0",
"p3",
"p7",
"p10",
"p12",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2523512379499972957954077
% SZS output start Proof for 2523512379499972957954077
1. ! [X0] : ((~wise(X0) | curious(X0)) <=> (generous(X0) & kind(X0))) [input p0]
4. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (tall(X0) <~> ~rich(X0))) [input p3]
8. ! [X0] : (wise(X0) <=> (~humble(X0) <~> ha... | 0 |
If paul is either kind or not calm then mary is creative.
If someone is funny or humble then fred is either not brave or rich and vice versa.
Everyone who is either curious or not calm is both not wise and not humble.
Everyone who is either not curious or rich is either quiet or not tall.
Everyone who is either not old... | John is curious. | contradiction | (((kind(paul)<~>~calm(paul)))=>(creative(mary)))&
((?[X]:((funny(X)|humble(X))))<=>((~brave(fred)<~>rich(fred))))&
(![X]:((curious(X)<~>~calm(X))=>(~wise(X)&~humble(X))))&
(![X]:((~curious(X)<~>rich(X))=>(quiet(X)<~>~tall(X))))&
(![X]:((~old(X)<~>strong(X))<=>(strong(X)<~>~wise(X))))&
(![X]:(curious(X)<=>(~generous(X)<... | curious(john) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5065827475516861306813011
% SZS output start Proof for 5065827475516861306813011
3. ! [X0] : ((curious(X0) <~> ~calm(X0)) => (~humble(X0) & ~wise(X0))) [input p2]
5. ! [X0] : ((~old(X0) <~> strong(X0)) <=> (strong(X0) <~> ~wise(X0))) [input p4]
6. ! [X0] : (curious(X0) <=> (~generous(X0) ... | 0 |
Everyone who is either not old or not patient is both not creative and not funny and vice versa.
Everyone who is calm or funny is either not quiet or not funny.
Everyone who is strong or generous is creative and vice versa.
Everyone who is either not creative or not funny is either quiet or not humble and vice versa.
I... | Susan is patient. | contradiction | (![X]:((~old(X)<~>~patient(X))<=>(~creative(X)&~funny(X))))&
(![X]:((calm(X)|funny(X))=>(~quiet(X)<~>~funny(X))))&
(![X]:((strong(X)|generous(X))<=>creative(X)))&
(![X]:((~creative(X)<~>~funny(X))<=>(quiet(X)<~>~humble(X))))&
(((~rich(susan)&quiet(susan)))<=>((~kind(alice)<~>kind(alice))))&
((?[X]:((happy(X)|~calm(X)))... | patient(susan) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 436161373106787383954535
% SZS output start Proof for 436161373106787383954535
1. ! [X0] : ((~old(X0) <~> ~patient(X0)) <=> (~funny(X0) & ~creative(X0))) [input p0]
3. ! [X0] : ((generous(X0) | strong(X0)) <=> creative(X0)) [input p2]
5. (quiet(susan) & ~rich(susan)) <=> (~kind(alice) <~>... | 0 |
If alice is creative then lucy is brave or not patient.
Everyone who is both old and not quiet is either brave or not old.
Everyone who is not kind is not curious.
Everyone who is either not curious or brave is creative.
If someone is both not rich and not generous then someone is not calm.
If john is both creative and... | Alice is not tall. | contradiction | ((creative(alice))=>((brave(lucy)|~patient(lucy))))&
(![X]:((old(X)&~quiet(X))=>(brave(X)<~>~old(X))))&
(![X]:(~kind(X)=>~curious(X)))&
(![X]:((~curious(X)<~>brave(X))=>creative(X)))&
((?[X]:((~rich(X)&~generous(X))))=>(?[X]:(~calm(X))))&
(((creative(john)&curious(john)))<=>((kind(lucy)&wise(lucy))))&
(![X]:((old(X)&~s... | ~tall(alice) | [
"p4",
"p6",
"p8",
"p9",
"p10",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4104024830322229213420111
% SZS output start Proof for 4104024830322229213420111
5. ? [X0] : (~generous(X0) & ~rich(X0)) => ? [X0] : ~calm(X0) [input p4]
7. ! [X0] : ((~strong(X0) & old(X0)) <=> (funny(X0) | brave(X0))) [input p6]
9. ! [X0] : (generous(X0) <=> ~humble(X0)) [input p8]
10. ... | 0 |
If lucy is either not humble or quiet then susan is both rich and not rich and vice versa.
If someone is both not patient and not humble then someone is calm.
Everyone who is either not rich or strong is either not generous or generous.
Everyone who is not creative is not wise and vice versa.
Everyone who is either kin... | Fred is not tall. | contradiction | (((~humble(lucy)<~>quiet(lucy)))<=>((rich(susan)&~rich(susan))))&
((?[X]:((~patient(X)&~humble(X))))=>(?[X]:(calm(X))))&
(![X]:((~rich(X)<~>strong(X))=>(~generous(X)<~>generous(X))))&
(![X]:(~creative(X)<=>~wise(X)))&
(![X]:((kind(X)<~>old(X))<=>(brave(X)&quiet(X))))&
(![X]:((kind(X)&calm(X))=>~humble(X)))&
((?[X]:((ca... | ~tall(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8318440847773043425985897
% SZS output start Proof for 8318440847773043425985897
9. ! [X0] : ((happy(X0) <~> tall(X0)) <=> ~happy(X0)) [input p8]
24. ~tall(fred) [input hypothesis]
44. ! [X0] : ((((~tall(X0) | ~happy(X0)) & (tall(X0) | happy(X0))) | happy(X0)) & (~happy(X0) | ((happy(X0) ... | 0 |
If john is either not generous or rich then someone is both calm and not calm and vice versa.
If paul is both humble and not old then lucy is kind or not tall.
Everyone who is both rich and not brave is not generous and vice versa.
Everyone who is rich is not quiet or not generous and vice versa.
Everyone who is strong... | Lucy is not generous. | contradiction | (((~generous(john)<~>rich(john)))<=>(?[X]:((calm(X)&~calm(X)))))&
(((humble(paul)&~old(paul)))=>((kind(lucy)|~tall(lucy))))&
(![X]:((rich(X)&~brave(X))<=>~generous(X)))&
(![X]:(rich(X)<=>(~quiet(X)|~generous(X))))&
(![X]:(strong(X)=>(curious(X)|happy(X))))&
(![X]:(~happy(X)<=>~funny(X)))&
(![X]:((~calm(X)&rich(X))=>str... | ~generous(lucy) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1180504033028840966696348
% SZS output start Proof for 1180504033028840966696348
20. ~old(lucy) & generous(lucy) [input p19]
25. ~generous(lucy) [input hypothesis]
140. generous(lucy) [cnf transformation 20]
147. ~generous(lucy) [cnf transformation 25]
373. $false [subsumption resolution ... | 0 |
Everyone who is both generous and not humble is both not brave and not humble.
Everyone who is either not funny or wise is both patient and not quiet and vice versa.
If lucy is humble then someone is wise.
If someone is either brave or patient then fred is both creative and quiet.
Everyone who is both not curious and h... | Lucy is not patient. | entailment | (![X]:((generous(X)&~humble(X))=>(~brave(X)&~humble(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(patient(X)&~quiet(X))))&
((humble(lucy))=>(?[X]:(wise(X))))&
((?[X]:((brave(X)<~>patient(X))))=>((creative(fred)&quiet(fred))))&
(![X]:((~curious(X)&humble(X))=>happy(X)))&
((~humble(john))=>((~strong(fred)|curious(fred))))&
(![X... | ~patient(lucy) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 632059378988334529551813
% SZS output start Proof for 632059378988334529551813
19. ~kind(lucy) & ~patient(lucy) [input p18]
25. patient(lucy) [input hypothesis]
27. ~patient(lucy) [pure predicate removal 19]
115. ~patient(lucy) [cnf transformation 27]
123. patient(lucy) [cnf transformatio... | 0 |
If someone is either humble or not patient then someone is old or not kind.
Everyone who is both curious and not rich is either not curious or old and vice versa.
Everyone who is both not humble and old is both not patient and not brave and vice versa.
If someone is old or not quiet then someone is not generous and vic... | John is funny. | contradiction | ((?[X]:((humble(X)<~>~patient(X))))=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((curious(X)&~rich(X))<=>(~curious(X)<~>old(X))))&
(![X]:((~humble(X)&old(X))<=>(~patient(X)&~brave(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(?[X]:(~generous(X))))&
(![X]:((generous(X)<~>~curious(X))<=>(~humble(X)|funny(X))))&
((?[X]:((brave(X)<~>wise... | funny(john) | [
"p1",
"p4",
"p5",
"p6",
"p7",
"p8",
"p9",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3623197763072713904360437
% SZS output start Proof for 3623197763072713904360437
2. ! [X0] : ((~rich(X0) & curious(X0)) <=> (~curious(X0) <~> old(X0))) [input p1]
5. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> (funny(X0) | ~humble(X0))) [input p4]
6. ? [X0] : (brave(X0) <~> wise(X0)) =>... | 0 |
If someone is either not quiet or not tall then someone is both not creative and not tall.
Everyone who is either not strong or creative is strong and vice versa.
If john is both not humble and tall then lucy is not quiet.
If someone is not rich then paul is either not brave or not humble.
Everyone who is happy is not ... | Susan is not calm. | contradiction | ((?[X]:((~quiet(X)<~>~tall(X))))=>(?[X]:((~creative(X)&~tall(X)))))&
(![X]:((~strong(X)<~>creative(X))<=>strong(X)))&
(((~humble(john)&tall(john)))=>(~quiet(lucy)))&
((?[X]:(~rich(X)))=>((~brave(paul)<~>~humble(paul))))&
(![X]:(happy(X)=>~curious(X)))&
(((wise(susan)<~>tall(susan)))<=>((~humble(alice)&~funny(alice))))&... | ~calm(susan) | [
"p0",
"p1",
"p6",
"p7",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2579611508403706499188460
% SZS output start Proof for 2579611508403706499188460
1. ? [X0] : (~quiet(X0) <~> ~tall(X0)) => ? [X0] : (~tall(X0) & ~creative(X0)) [input p0]
2. ! [X0] : ((~strong(X0) <~> creative(X0)) <=> strong(X0)) [input p1]
7. ! [X0] : ((~funny(X0) <~> ~quiet(X0)) <=> (~... | 0 |
Everyone who is either not calm or not happy is both quiet and not creative. If someone is both brave and generous then john is both not calm and wise and vice versa. Everyone who is rich is not quiet. Everyone who is either calm or not old is either tall or not tall and vice versa. If lucy is patient then someone is b... | Paul is old. | entailment | (![X]:((~calm(X)<~>~happy(X))=>(quiet(X)&~creative(X))))&
((?[X]:((brave(X)&generous(X))))<=>((~calm(john)&wise(john))))&
(![X]:(rich(X)=>~quiet(X)))&
(![X]:((calm(X)<~>~old(X))<=>(tall(X)<~>~tall(X))))&
((patient(lucy))<=>(?[X]:((~curious(X)&~happy(X)))))&
(![X]:((~tall(X)<~>~strong(X))=>(~calm(X)|generous(X))))&
(((~... | old(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7781953445142689591889149
% SZS output start Proof for 7781953445142689591889149
12. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> ~creative(X0)) [input p11]
24. ~old(paul) [input hypothesis]
57. ! [X0] : ((((creative(X0) | old(X0)) & (~creative(X0) | ~old(X0))) | creative(X0)) & (~creative(... | 0 |
Everyone who is curious or kind is both curious and not brave. Everyone who is funny or quiet is not quiet and vice versa. If alice is curious then someone is calm and vice versa. Everyone who is both not humble and curious is either not funny or not calm and vice versa. If mary is either not wise or not creative then ... | Susan is funny. | entailment | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((curious(alice))<=>(?[X]:(calm(X))))&
(![X]:((~humble(X)&curious(X))<=>(~funny(X)<~>~calm(X))))&
(((~wise(mary)<~>~creative(mary)))=>(?[X]:(rich(X))))&
(![X]:((happy(X)<~>funny(X))<=>~tall(X)))&
((?[X]:((~creative(X)|humbl... | funny(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8056567399207597953131800
% SZS output start Proof for 8056567399207597953131800
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
25. ~funny(susan) [input hypothesis]
34. ! [X0] : (((quiet(X0) | funny(X0)) | quiet(X0)) & (~quiet(X0) | (~quiet(X0) & ~funny(X0)))) [nnf transf... | 0 |
If someone is not old or humble then mary is either kind or curious and vice versa.
If mary is quiet then lucy is generous.
Everyone who is either not strong or brave is either patient or quiet and vice versa.
If someone is not creative then someone is not curious.
Everyone who is both humble and not rich is not patien... | John is brave. | contradiction | ((?[X]:((~old(X)|humble(X))))<=>((kind(mary)<~>curious(mary))))&
((quiet(mary))=>(generous(lucy)))&
(![X]:((~strong(X)<~>brave(X))<=>(patient(X)<~>quiet(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~curious(X))))&
(![X]:((humble(X)&~rich(X))=>~patient(X)))&
((?[X]:((rich(X)|funny(X))))<=>((~strong(alice)|generous(alice))))&
(... | brave(john) | [
"p7",
"p8",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4551004786967086025138129
% SZS output start Proof for 4551004786967086025138129
8. ! [X0] : (kind(X0) <=> ~creative(X0)) [input p7]
9. ! [X0] : ((strong(X0) <~> humble(X0)) <=> ~calm(X0)) [input p8]
12. ! [X0] : ((~creative(X0) | ~quiet(X0)) => (humble(X0) & strong(X0))) [input p11]
14. ... | 0 |
If fred is strong then alice is either not brave or strong.
If someone is either not humble or curious then lucy is funny.
If someone is not humble or not funny then someone is not wise or not brave.
If someone is either not curious or not rich then someone is not old and vice versa.
If someone is old then someone is g... | Paul is not patient. | entailment | ((strong(fred))=>((~brave(alice)<~>strong(alice))))&
((?[X]:((~humble(X)<~>curious(X))))=>(funny(lucy)))&
((?[X]:((~humble(X)|~funny(X))))=>(?[X]:((~wise(X)|~brave(X)))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(?[X]:(~old(X))))&
((?[X]:(old(X)))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((kind(X)|~rich(X))<=>~humble(... | ~patient(paul) | [
"p5",
"p12",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2674848392939473601753254
% SZS output start Proof for 2674848392939473601753254
6. ! [X0] : ((~rich(X0) | kind(X0)) <=> ~humble(X0)) [input p5]
13. ? [X0] : (~wise(X0) | patient(X0)) <=> (curious(paul) & ~kind(paul)) [input p12]
14. ! [X0] : ((~calm(X0) | calm(X0)) => (~curious(X0) | cre... | 0 |
Everyone who is rich is both tall and not brave and vice versa.
Everyone who is either not curious or strong is either funny or patient.
If mary is both not funny and happy then alice is old or curious and vice versa.
Everyone who is either calm or not patient is either strong or happy and vice versa.
If fred is not st... | John is funny. | neutral | (![X]:(rich(X)<=>(tall(X)&~brave(X))))&
(![X]:((~curious(X)<~>strong(X))=>(funny(X)<~>patient(X))))&
(((~funny(mary)&happy(mary)))<=>((old(alice)|curious(alice))))&
(![X]:((calm(X)<~>~patient(X))<=>(strong(X)<~>happy(X))))&
((~strong(fred))<=>((~patient(alice)&wise(alice))))&
(![X]:((strong(X)&~happy(X))=>(generous(X)&... | funny(john) | [] | null | 0 |
Everyone who is not strong or not generous is both old and not tall and vice versa.
Everyone who is both tall and not creative is both not funny and quiet and vice versa.
Everyone who is rich or not strong is both not funny and not patient and vice versa.
Everyone who is curious is either not quiet or not rich.
If some... | Alice is happy. | neutral | (![X]:((~strong(X)|~generous(X))<=>(old(X)&~tall(X))))&
(![X]:((tall(X)&~creative(X))<=>(~funny(X)&quiet(X))))&
(![X]:((rich(X)|~strong(X))<=>(~funny(X)&~patient(X))))&
(![X]:(curious(X)=>(~quiet(X)<~>~rich(X))))&
((?[X]:((~wise(X)&brave(X))))<=>((tall(alice)<~>~wise(alice))))&
(![X]:((creative(X)|~funny(X))=>(~old(X)|... | happy(alice) | [] | null | 0 |
Everyone who is generous or strong is not humble.
Everyone who is not curious or old is calm.
If someone is not brave or not humble then susan is brave or creative and vice versa.
Everyone who is both rich and not funny is both rich and not rich and vice versa.
If alice is either tall or not rich then someone is not cr... | Susan is not kind. | neutral | (![X]:((generous(X)|strong(X))=>~humble(X)))&
(![X]:((~curious(X)|old(X))=>calm(X)))&
((?[X]:((~brave(X)|~humble(X))))<=>((brave(susan)|creative(susan))))&
(![X]:((rich(X)&~funny(X))<=>(rich(X)&~rich(X))))&
(((tall(alice)<~>~rich(alice)))=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((humble(X)|~generous(X))<=>(rich(X)&~... | ~kind(susan) | [] | null | 0 |
If someone is brave or not brave then someone is either creative or not curious. Everyone who is rich is not creative or not tall. If john is either not generous or not wise then someone is not strong and vice versa. If someone is either not tall or quiet then someone is both not patient and old and vice versa. Everyon... | John is wise. | neutral | ((?[X]:((brave(X)|~brave(X))))=>(?[X]:((creative(X)<~>~curious(X)))))&
(![X]:(rich(X)=>(~creative(X)|~tall(X))))&
(((~generous(john)<~>~wise(john)))<=>(?[X]:(~strong(X))))&
((?[X]:((~tall(X)<~>quiet(X))))<=>(?[X]:((~patient(X)&old(X)))))&
(![X]:((old(X)|~calm(X))=>(~patient(X)|~wise(X))))&
(((~patient(mary)<~>wise(mary... | wise(john) | [] | null | 0 |
Everyone who is not wise or not creative is creative and vice versa.
If someone is not happy then john is strong and vice versa.
Everyone who is either happy or brave is not old and vice versa.
If someone is not humble then susan is not happy.
Everyone who is happy is both not humble and brave and vice versa.
If someon... | Susan is happy. | contradiction | (![X]:((~wise(X)|~creative(X))<=>creative(X)))&
((?[X]:(~happy(X)))<=>(strong(john)))&
(![X]:((happy(X)<~>brave(X))<=>~old(X)))&
((?[X]:(~humble(X)))=>(~happy(susan)))&
(![X]:(happy(X)<=>(~humble(X)&brave(X))))&
((?[X]:((~happy(X)<~>~humble(X))))<=>(?[X]:((strong(X)<~>brave(X)))))&
((?[X]:((creative(X)|~tall(X))))<=>(?... | happy(susan) | [
"p3",
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3890628873443470910757015
% SZS output start Proof for 3890628873443470910757015
4. ? [X0] : ~humble(X0) => ~happy(susan) [input p3]
5. ! [X0] : (happy(X0) <=> (brave(X0) & ~humble(X0))) [input p4]
21. happy(john) & creative(john) [input p20]
25. happy(susan) [input hypothesis]
31. ~happy... | 0 |
Everyone who is either not brave or not strong is both quiet and not strong and vice versa.
Everyone who is strong is either not rich or not happy.
Everyone who is strong or not humble is not patient.
Everyone who is strong is not creative or humble and vice versa.
Everyone who is not strong or happy is both funny and ... | John is not happy. | neutral | (![X]:((~brave(X)<~>~strong(X))<=>(quiet(X)&~strong(X))))&
(![X]:(strong(X)=>(~rich(X)<~>~happy(X))))&
(![X]:((strong(X)|~humble(X))=>~patient(X)))&
(![X]:(strong(X)<=>(~creative(X)|humble(X))))&
(![X]:((~strong(X)|happy(X))=>(funny(X)&~patient(X))))&
((?[X]:(~quiet(X)))=>(curious(mary)))&
(((~generous(mary)<~>patient(... | ~happy(john) | [] | null | 0 |
Everyone who is both not old and humble is not strong and vice versa.
If someone is both rich and not creative then lucy is both not calm and funny and vice versa.
Everyone who is either not strong or not humble is either not old or patient and vice versa.
If fred is either not creative or not funny then someone is bot... | Lucy is not kind. | neutral | (![X]:((~old(X)&humble(X))<=>~strong(X)))&
((?[X]:((rich(X)&~creative(X))))<=>((~calm(lucy)&funny(lucy))))&
(![X]:((~strong(X)<~>~humble(X))<=>(~old(X)<~>patient(X))))&
(((~creative(fred)<~>~funny(fred)))=>(?[X]:((~tall(X)&~funny(X)))))&
(![X]:((~creative(X)&rich(X))=>(~patient(X)<~>humble(X))))&
((?[X]:(strong(X)))=>(... | ~kind(lucy) | [] | null | 0 |
Everyone who is either not creative or not brave is not tall and vice versa.
Everyone who is either not calm or not generous is not old or old and vice versa.
If someone is either funny or brave then john is either old or funny.
Everyone who is not wise or strong is either not strong or funny and vice versa.
Everyone w... | Mary is strong. | neutral | (![X]:((~creative(X)<~>~brave(X))<=>~tall(X)))&
(![X]:((~calm(X)<~>~generous(X))<=>(~old(X)|old(X))))&
((?[X]:((funny(X)<~>brave(X))))=>((old(john)<~>funny(john))))&
(![X]:((~wise(X)|strong(X))<=>(~strong(X)<~>funny(X))))&
(![X]:((~generous(X)|~rich(X))=>tall(X)))&
(![X]:((old(X)&brave(X))<=>(old(X)&~wise(X))))&
(![X]:... | strong(mary) | [] | null | 0 |
Everyone who is humble or calm is both old and not curious and vice versa. Everyone who is generous or wise is both not happy and funny. Everyone who is generous or patient is not rich. Everyone who is calm or not funny is both wise and humble and vice versa. Everyone who is either creative or not brave is tall or not ... | Paul is curious. | neutral | (![X]:((humble(X)|calm(X))<=>(old(X)&~curious(X))))&
(![X]:((generous(X)|wise(X))=>(~happy(X)&funny(X))))&
(![X]:((generous(X)|patient(X))=>~rich(X)))&
(![X]:((calm(X)|~funny(X))<=>(wise(X)&humble(X))))&
(![X]:((creative(X)<~>~brave(X))=>(tall(X)|~quiet(X))))&
((~strong(lucy))=>(?[X]:((brave(X)|funny(X)))))&
(((~funny(... | curious(paul) | [] | null | 0 |
Everyone who is both not rich and strong is both not funny and not creative.
If someone is not funny then fred is either not old or not rich.
Everyone who is brave or not brave is happy or not quiet.
If john is both not brave and strong then alice is calm or brave.
Everyone who is either not rich or calm is humble.
If ... | Mary is not brave. | entailment | (![X]:((~rich(X)&strong(X))=>(~funny(X)&~creative(X))))&
((?[X]:(~funny(X)))=>((~old(fred)<~>~rich(fred))))&
(![X]:((brave(X)|~brave(X))=>(happy(X)|~quiet(X))))&
(((~brave(john)&strong(john)))=>((calm(alice)|brave(alice))))&
(![X]:((~rich(X)<~>calm(X))=>humble(X)))&
((patient(susan))<=>((~calm(fred)<~>~wise(fred))))&
(... | ~brave(mary) | [
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8031674116478176686707897
% SZS output start Proof for 8031674116478176686707897
12. ! [X0] : (brave(X0) <=> (~happy(X0) & ~rich(X0))) [input p11]
13. (~strong(john) & generous(john)) <=> ? [X0] : (~rich(X0) | ~patient(X0)) [input p12]
15. ? [X0] : (generous(X0) | ~kind(X0)) <=> ? [X0] : ... | 0 |
Everyone who is both not rich and not patient is not happy or calm. Everyone who is both not curious and patient is both generous and not patient and vice versa. If someone is both not patient and tall then mary is either not patient or not brave and vice versa. Everyone who is either rich or tall is old or not old. If... | Fred is rich. | neutral | (![X]:((~rich(X)&~patient(X))=>(~happy(X)|calm(X))))&
(![X]:((~curious(X)&patient(X))<=>(generous(X)&~patient(X))))&
((?[X]:((~patient(X)&tall(X))))<=>((~patient(mary)<~>~brave(mary))))&
(![X]:((rich(X)<~>tall(X))=>(old(X)|~old(X))))&
((rich(fred))<=>(tall(lucy)))&
(((~wise(paul)&tall(paul)))<=>(calm(susan)))&
(![X]:(c... | rich(fred) | [] | null | 0 |
Everyone who is either quiet or calm is both not generous and not funny.
Everyone who is either creative or rich is tall.
If someone is both funny and old then someone is both kind and not tall.
Everyone who is both humble and not creative is not quiet or funny.
If paul is quiet or not brave then john is not happy or n... | Mary is quiet. | entailment | (![X]:((quiet(X)<~>calm(X))=>(~generous(X)&~funny(X))))&
(![X]:((creative(X)<~>rich(X))=>tall(X)))&
((?[X]:((funny(X)&old(X))))=>(?[X]:((kind(X)&~tall(X)))))&
(![X]:((humble(X)&~creative(X))=>(~quiet(X)|funny(X))))&
(((quiet(paul)|~brave(paul)))=>((~happy(john)|~wise(john))))&
(((~happy(susan)&~patient(susan)))=>((~hum... | quiet(mary) | [
"p0",
"p7",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7133677606222222814218973
% SZS output start Proof for 7133677606222222814218973
1. ! [X0] : ((quiet(X0) <~> calm(X0)) => (~funny(X0) & ~generous(X0))) [input p0]
8. ! [X0] : (~calm(X0) => calm(X0)) [input p7]
9. ! [X0] : ((~kind(X0) | generous(X0)) <=> calm(X0)) [input p8]
12. ! [X0] : (... | 0 |
Everyone who is not humble is both not funny and wise. Everyone who is both not tall and not strong is either happy or not wise and vice versa. If someone is kind then susan is both not tall and not strong. Everyone who is both not brave and not happy is both kind and not creative and vice versa. If someone is not gene... | Susan is not quiet. | contradiction | (![X]:(~humble(X)=>(~funny(X)&wise(X))))&
(![X]:((~tall(X)&~strong(X))<=>(happy(X)<~>~wise(X))))&
((?[X]:(kind(X)))=>((~tall(susan)&~strong(susan))))&
(![X]:((~brave(X)&~happy(X))<=>(kind(X)&~creative(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~old(X)|old(X))=>~happy(X)))&
(![X]:((tall(X)&... | ~quiet(susan) | [
"p4",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6369633637434107481474453
% SZS output start Proof for 6369633637434107481474453
5. ? [X0] : (~quiet(X0) | ~generous(X0)) <=> ? [X0] : ~brave(X0) [input p4]
8. ! [X0] : (~strong(X0) <=> (~tall(X0) | ~brave(X0))) [input p7]
13. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (~strong(X0) & ~brave(X... | 0 |
If alice is humble then john is either not calm or patient.
Everyone who is not rich is not wise.
Everyone who is either wise or not curious is strong.
If fred is both not kind and happy then someone is either not old or not kind and vice versa.
Everyone who is not rich is both not tall and not creative and vice versa.... | Susan is patient. | contradiction | ((humble(alice))=>((~calm(john)<~>patient(john))))&
(![X]:(~rich(X)=>~wise(X)))&
(![X]:((wise(X)<~>~curious(X))=>strong(X)))&
(((~kind(fred)&happy(fred)))<=>(?[X]:((~old(X)<~>~kind(X)))))&
(![X]:(~rich(X)<=>(~tall(X)&~creative(X))))&
(![X]:(~happy(X)<=>(~funny(X)&~curious(X))))&
((?[X]:((~wise(X)|~quiet(X))))=>(?[X]:(~... | patient(susan) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1273665256014965356511901
% SZS output start Proof for 1273665256014965356511901
14. ! [X0] : (patient(X0) => (humble(X0) & ~humble(X0))) [input p13]
25. patient(susan) [input hypothesis]
38. ! [X0] : ((humble(X0) & ~humble(X0)) | ~patient(X0)) [ennf transformation 14]
127. ~humble(X0) | ... | 0 |
If someone is wise or strong then paul is not strong.
Everyone who is either happy or not strong is generous.
If mary is either not generous or not kind then susan is both strong and not curious and vice versa.
If john is brave or creative then fred is quiet.
Everyone who is both not quiet and not creative is both happ... | Fred is not patient. | neutral | ((?[X]:((wise(X)|strong(X))))=>(~strong(paul)))&
(![X]:((happy(X)<~>~strong(X))=>generous(X)))&
(((~generous(mary)<~>~kind(mary)))<=>((strong(susan)&~curious(susan))))&
(((brave(john)|creative(john)))=>(quiet(fred)))&
(![X]:((~quiet(X)&~creative(X))=>(happy(X)&~generous(X))))&
(![X]:(old(X)=>(funny(X)<~>~curious(X))))&... | ~patient(fred) | [] | null | 0 |
Everyone who is both not curious and creative is generous or not calm and vice versa. If susan is both not calm and happy then someone is both rich and not old and vice versa. If someone is not brave or not patient then fred is old and vice versa. If lucy is not creative then fred is not wise and vice versa. Everyone w... | John is not old. | contradiction | (![X]:((~curious(X)&creative(X))<=>(generous(X)|~calm(X))))&
(((~calm(susan)&happy(susan)))<=>(?[X]:((rich(X)&~old(X)))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patient(X))=>(tall(X)|curious(X))))&
(![X]... | ~old(john) | [
"p1",
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5571370237660475420981583
% SZS output start Proof for 5571370237660475420981583
2. (happy(susan) & ~calm(susan)) <=> ? [X0] : (~old(X0) & rich(X0)) [input p1]
5. ! [X0] : ((~tall(X0) | brave(X0)) <=> (~rich(X0) | calm(X0))) [input p4]
12. ! [X0] : ((~happy(X0) <~> ~calm(X0)) <=> ~tall(X0... | 0 |
If lucy is old or not tall then paul is wise or curious.
Everyone who is not humble is either not tall or creative and vice versa.
Everyone who is either not humble or wise is either not kind or not funny.
Everyone who is strong or generous is both not tall and not strong.
Everyone who is both not patient and humble is... | Paul is humble. | neutral | (((old(lucy)|~tall(lucy)))=>((wise(paul)|curious(paul))))&
(![X]:(~humble(X)<=>(~tall(X)<~>creative(X))))&
(![X]:((~humble(X)<~>wise(X))=>(~kind(X)<~>~funny(X))))&
(![X]:((strong(X)|generous(X))=>(~tall(X)&~strong(X))))&
(![X]:((~patient(X)&humble(X))<=>generous(X)))&
((?[X]:((brave(X)<~>~old(X))))<=>((rich(lucy)<~>~ta... | humble(paul) | [] | null | 0 |
Everyone who is either calm or tall is not humble.
If paul is not curious or humble then someone is both not strong and calm and vice versa.
Everyone who is either creative or strong is either not patient or not tall.
If paul is either calm or patient then paul is not brave or not kind and vice versa.
Everyone who is e... | Paul is funny. | neutral | (![X]:((calm(X)<~>tall(X))=>~humble(X)))&
(((~curious(paul)|humble(paul)))<=>(?[X]:((~strong(X)&calm(X)))))&
(![X]:((creative(X)<~>strong(X))=>(~patient(X)<~>~tall(X))))&
(((calm(paul)<~>patient(paul)))<=>((~brave(paul)|~kind(paul))))&
(![X]:((kind(X)<~>~patient(X))=>(~wise(X)<~>~brave(X))))&
((~brave(mary))<=>((~calm(... | funny(paul) | [] | null | 0 |
Everyone who is not quiet is either curious or not brave.
If paul is either not generous or not old then someone is funny and vice versa.
If someone is not creative then someone is not wise and vice versa.
If lucy is either not kind or not happy then john is not happy or not old.
Everyone who is both not curious and ol... | Fred is quiet. | neutral | (![X]:(~quiet(X)=>(curious(X)<~>~brave(X))))&
(((~generous(paul)<~>~old(paul)))<=>(?[X]:(funny(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(~wise(X))))&
(((~kind(lucy)<~>~happy(lucy)))=>((~happy(john)|~old(john))))&
(![X]:((~curious(X)&old(X))<=>kind(X)))&
(![X]:((quiet(X)|calm(X))<=>~curious(X)))&
(![X]:(~humble(X)=>calm(X)... | quiet(fred) | [] | null | 0 |
If john is not brave or not strong then someone is funny.
Everyone who is either strong or curious is not strong or brave and vice versa.
Everyone who is creative or kind is not happy.
If someone is both not generous and not curious then lucy is not generous or not wise.
Everyone who is either calm or not brave is not ... | Lucy is not humble. | entailment | (((~brave(john)|~strong(john)))=>(?[X]:(funny(X))))&
(![X]:((strong(X)<~>curious(X))<=>(~strong(X)|brave(X))))&
(![X]:((creative(X)|kind(X))=>~happy(X)))&
((?[X]:((~generous(X)&~curious(X))))=>((~generous(lucy)|~wise(lucy))))&
(![X]:((calm(X)<~>~brave(X))=>(~creative(X)|~calm(X))))&
((?[X]:((~brave(X)&quiet(X))))<=>((~... | ~humble(lucy) | [
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 76746055551865213304636
% SZS output start Proof for 76746055551865213304636
12. ? [X0] : (strong(X0) | humble(X0)) => (rich(john) & ~wise(john)) [input p11]
13. ! [X0] : ((brave(X0) | happy(X0)) => (happy(X0) & ~rich(X0))) [input p12]
16. ! [X0] : ((curious(X0) & happy(X0)) <=> (rich(X0)... | 0 |
Everyone who is either funny or not humble is curious or not creative and vice versa.
Everyone who is not patient or happy is both not creative and not wise.
Everyone who is funny or brave is either strong or not calm and vice versa.
Everyone who is not funny or not kind is old or curious.
If fred is either creative or... | Paul is kind. | contradiction | (![X]:((funny(X)<~>~humble(X))<=>(curious(X)|~creative(X))))&
(![X]:((~patient(X)|happy(X))=>(~creative(X)&~wise(X))))&
(![X]:((funny(X)|brave(X))<=>(strong(X)<~>~calm(X))))&
(![X]:((~funny(X)|~kind(X))=>(old(X)|curious(X))))&
(((creative(fred)<~>happy(fred)))=>(~calm(john)))&
(![X]:((~strong(X)|generous(X))=>(~funny(X... | kind(paul) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7587922091987201773276493
% SZS output start Proof for 7587922091987201773276493
1. ! [X0] : ((funny(X0) <~> ~humble(X0)) <=> (~creative(X0) | curious(X0))) [input p0]
2. ! [X0] : ((happy(X0) | ~patient(X0)) => (~wise(X0) & ~creative(X0))) [input p1]
3. ! [X0] : ((brave(X0) | funny(X0)) <... | 0 |
If someone is old then mary is either not kind or not strong and vice versa.
Everyone who is quiet or tall is not quiet.
Everyone who is funny is not quiet.
Everyone who is creative or not happy is creative or not humble and vice versa.
Everyone who is not humble is both not kind and not curious.
Everyone who is not ol... | Fred is not curious. | contradiction | ((?[X]:(old(X)))<=>((~kind(mary)<~>~strong(mary))))&
(![X]:((quiet(X)|tall(X))=>~quiet(X)))&
(![X]:(funny(X)=>~quiet(X)))&
(![X]:((creative(X)|~happy(X))<=>(creative(X)|~humble(X))))&
(![X]:(~humble(X)=>(~kind(X)&~curious(X))))&
(![X]:((~old(X)|funny(X))<=>(~funny(X)|wise(X))))&
((?[X]:(~wise(X)))=>((~calm(lucy)&curiou... | ~curious(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6008292606494421501511415
% SZS output start Proof for 6008292606494421501511415
16. ! [X0] : (rich(X0) <=> (rich(X0) <~> ~curious(X0))) [input p15]
24. ~curious(fred) [input hypothesis]
66. ! [X0] : ((rich(X0) | ((rich(X0) | curious(X0)) & (~curious(X0) | ~rich(X0)))) & (((curious(X0) | ... | 0 |
If someone is both not strong and not creative then lucy is either not calm or not tall. If someone is both not patient and not humble then lucy is either not kind or brave and vice versa. Everyone who is either curious or not curious is both not wise and not calm. If someone is both not tall and quiet then someone is ... | Lucy is tall. | entailment | ((?[X]:((~strong(X)&~creative(X))))=>((~calm(lucy)<~>~tall(lucy))))&
((?[X]:((~patient(X)&~humble(X))))<=>((~kind(lucy)<~>brave(lucy))))&
(![X]:((curious(X)<~>~curious(X))=>(~wise(X)&~calm(X))))&
((?[X]:((~tall(X)&quiet(X))))=>(?[X]:((brave(X)|funny(X)))))&
(((~happy(mary)&~curious(mary)))<=>(?[X]:(brave(X))))&
(![X]:(... | tall(lucy) | [
"p0",
"p2",
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6420865412911450824717022
% SZS output start Proof for 6420865412911450824717022
1. ? [X0] : (~creative(X0) & ~strong(X0)) => (~calm(lucy) <~> ~tall(lucy)) [input p0]
3. ! [X0] : ((curious(X0) <~> ~curious(X0)) => (~calm(X0) & ~wise(X0))) [input p2]
7. ! [X0] : ((~strong(X0) <~> ~creative... | 0 |
If someone is either strong or curious then susan is both strong and not strong and vice versa.
Everyone who is not generous is not wise.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both kind and not generous is either not calm or rich and... | Alice is generous. | entailment | ((?[X]:((strong(X)<~>curious(X))))<=>((strong(susan)&~strong(susan))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>patient(X)))&
(![X]:(creative(X)<=>(rich(X)<~>~qui... | generous(alice) | [
"p0",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 714437839749897367429725
% SZS output start Proof for 714437839749897367429725
1. ? [X0] : (strong(X0) <~> curious(X0)) <=> (~strong(susan) & strong(susan)) [input p0]
9. ! [X0] : ((generous(X0) <~> strong(X0)) <=> (~brave(X0) & ~wise(X0))) [input p8]
10. ! [X0] : ((~wise(X0) & curious(X0... | 0 |
Everyone who is both not kind and happy is kind and vice versa.
If lucy is quiet or calm then john is creative or not generous.
If alice is both strong and kind then mary is not calm or generous.
If mary is either creative or not patient then someone is either strong or quiet.
Everyone who is strong or wise is either q... | John is humble. | contradiction | (![X]:((~kind(X)&happy(X))<=>kind(X)))&
(((quiet(lucy)|calm(lucy)))=>((creative(john)|~generous(john))))&
(((strong(alice)&kind(alice)))=>((~calm(mary)|generous(mary))))&
(((creative(mary)<~>~patient(mary)))=>(?[X]:((strong(X)<~>quiet(X)))))&
(![X]:((strong(X)|wise(X))<=>(quiet(X)<~>happy(X))))&
((?[X]:((~old(X)|~brave... | humble(john) | [
"p0",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5023109508158643382940616
% SZS output start Proof for 5023109508158643382940616
1. ! [X0] : ((happy(X0) & ~kind(X0)) <=> kind(X0)) [input p0]
6. ? [X0] : (~brave(X0) | ~old(X0)) => ? [X0] : (~kind(X0) <~> ~happy(X0)) [input p5]
9. ! [X0] : ((wise(X0) | ~creative(X0)) <=> (old(X0) <~> ~ki... | 0 |
Everyone who is happy or tall is tall and vice versa. If paul is both not happy and strong then someone is not old. Everyone who is brave is either not funny or brave. Everyone who is either wise or rich is both not humble and calm and vice versa. Everyone who is both not humble and not tall is kind. If someone is not ... | Mary is rich. | neutral | (![X]:((happy(X)|tall(X))<=>tall(X)))&
(((~happy(paul)&strong(paul)))=>(?[X]:(~old(X))))&
(![X]:(brave(X)=>(~funny(X)<~>brave(X))))&
(![X]:((wise(X)<~>rich(X))<=>(~humble(X)&calm(X))))&
(![X]:((~humble(X)&~tall(X))=>kind(X)))&
((?[X]:((~kind(X)|happy(X))))=>(patient(alice)))&
(![X]:((~humble(X)<~>humble(X))<=>(~calm(X)... | rich(mary) | [] | null | 0 |
Everyone who is both not brave and creative is generous or not old.
If someone is not humble or calm then someone is humble or creative.
If paul is both happy and not quiet then susan is not wise or old and vice versa.
Everyone who is both not happy and patient is either not humble or calm and vice versa.
Everyone who ... | Paul is not old. | neutral | (![X]:((~brave(X)&creative(X))=>(generous(X)|~old(X))))&
((?[X]:((~humble(X)|calm(X))))=>(?[X]:((humble(X)|creative(X)))))&
(((happy(paul)&~quiet(paul)))<=>((~wise(susan)|old(susan))))&
(![X]:((~happy(X)&patient(X))<=>(~humble(X)<~>calm(X))))&
(![X]:((happy(X)&brave(X))<=>(~generous(X)|~tall(X))))&
(((~patient(lucy)&~c... | ~old(paul) | [] | null | 0 |
If someone is not happy or not calm then someone is either not calm or brave.
Everyone who is rich is both quiet and not strong and vice versa.
Everyone who is both rich and not old is both curious and not brave and vice versa.
Everyone who is not funny is either calm or quiet and vice versa.
If someone is both quiet a... | Paul is not curious. | neutral | ((?[X]:((~happy(X)|~calm(X))))=>(?[X]:((~calm(X)<~>brave(X)))))&
(![X]:(rich(X)<=>(quiet(X)&~strong(X))))&
(![X]:((rich(X)&~old(X))<=>(curious(X)&~brave(X))))&
(![X]:(~funny(X)<=>(calm(X)<~>quiet(X))))&
((?[X]:((quiet(X)&~curious(X))))=>(?[X]:((old(X)|~happy(X)))))&
(![X]:((patient(X)<~>creative(X))=>(strong(X)|~genero... | ~curious(paul) | [] | null | 0 |
If someone is both wise and not wise then someone is not calm.
If someone is either not old or rich then someone is both creative and not tall and vice versa.
If someone is both rich and tall then john is either not strong or kind and vice versa.
If lucy is calm or wise then someone is both not funny and not old.
If so... | John is kind. | contradiction | ((?[X]:((wise(X)&~wise(X))))=>(?[X]:(~calm(X))))&
((?[X]:((~old(X)<~>rich(X))))<=>(?[X]:((creative(X)&~tall(X)))))&
((?[X]:((rich(X)&tall(X))))<=>((~strong(john)<~>kind(john))))&
(((calm(lucy)|wise(lucy)))=>(?[X]:((~funny(X)&~old(X)))))&
((?[X]:((brave(X)&~tall(X))))<=>(?[X]:((~kind(X)|patient(X)))))&
((?[X]:((~calm(X)... | kind(john) | [
"p7",
"p9",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2846951829542113156746567
% SZS output start Proof for 2846951829542113156746567
8. ! [X0] : ((rich(X0) & humble(X0)) <=> (~humble(X0) <~> ~calm(X0))) [input p7]
10. ! [X0] : ((quiet(X0) | strong(X0)) => ~kind(X0)) [input p9]
14. ! [X0] : (~quiet(X0) => (old(X0) & calm(X0))) [input p13]
2... | 0 |
Everyone who is not brave is old.
If someone is either not funny or not curious then fred is either not kind or happy and vice versa.
If susan is both patient and creative then someone is tall or not generous and vice versa.
If fred is not creative or not happy then someone is either not quiet or not rich.
If mary is p... | Susan is not creative. | contradiction | (![X]:(~brave(X)=>old(X)))&
((?[X]:((~funny(X)<~>~curious(X))))<=>((~kind(fred)<~>happy(fred))))&
(((patient(susan)&creative(susan)))<=>(?[X]:((tall(X)|~generous(X)))))&
(((~creative(fred)|~happy(fred)))=>(?[X]:((~quiet(X)<~>~rich(X)))))&
(((patient(mary)|~kind(mary)))=>((~rich(susan)<~>~quiet(susan))))&
(![X]:((~tall(... | ~creative(susan) | [
"p2",
"p6",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2154519399408111278417017
% SZS output start Proof for 2154519399408111278417017
3. (creative(susan) & patient(susan)) <=> ? [X0] : (~generous(X0) | tall(X0)) [input p2]
7. ? [X0] : strong(X0) => (humble(fred) & old(fred)) [input p6]
8. ! [X0] : ((~brave(X0) & ~funny(X0)) <=> ~strong(X0))... | 0 |
If john is either creative or brave then john is either strong or funny and vice versa.
Everyone who is either not strong or not tall is quiet.
Everyone who is both funny and creative is either not patient or rich and vice versa.
Everyone who is both curious and not rich is humble.
If lucy is either quiet or funny then... | Lucy is not rich. | contradiction | (((creative(john)<~>brave(john)))<=>((strong(john)<~>funny(john))))&
(![X]:((~strong(X)<~>~tall(X))=>quiet(X)))&
(![X]:((funny(X)&creative(X))<=>(~patient(X)<~>rich(X))))&
(![X]:((curious(X)&~rich(X))=>humble(X)))&
(((quiet(lucy)<~>funny(lucy)))=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:(~funny(X)=>(~curious(X)|strong(X)... | ~rich(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2712176918466861688930275
% SZS output start Proof for 2712176918466861688930275
12. ! [X0] : ((~rich(X0) | ~creative(X0)) => (~wise(X0) & wise(X0))) [input p11]
22. ~rich(lucy) [input hypothesis]
32. ! [X0] : ((~wise(X0) & wise(X0)) | (rich(X0) & creative(X0))) [ennf transformation 12]
1... | 0 |
Everyone who is quiet or not patient is creative.
If john is not patient then someone is both wise and not kind and vice versa.
If fred is not humble then someone is curious.
If alice is not patient then fred is either not strong or not quiet and vice versa.
Everyone who is strong or not rich is both creative and not p... | Alice is not funny. | contradiction | (![X]:((quiet(X)|~patient(X))=>creative(X)))&
((~patient(john))<=>(?[X]:((wise(X)&~kind(X)))))&
((~humble(fred))=>(?[X]:(curious(X))))&
((~patient(alice))<=>((~strong(fred)<~>~quiet(fred))))&
(![X]:((strong(X)|~rich(X))=>(creative(X)&~patient(X))))&
(![X]:((~happy(X)&quiet(X))<=>(~old(X)<~>~happy(X))))&
(![X]:((funny(X... | ~funny(alice) | [
"p4",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1826734962743766659807698
% SZS output start Proof for 1826734962743766659807698
5. ! [X0] : ((~rich(X0) | strong(X0)) => (~patient(X0) & creative(X0))) [input p4]
6. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p5]
7. ! [X0] : ((~creative(X0) & funny(X0)) <=> ... | 0 |
Everyone who is both old and curious is calm or not calm and vice versa.
Everyone who is happy or tall is both not tall and rich.
If fred is both not old and not quiet then alice is either wise or kind.
Everyone who is both not patient and not humble is not creative.
Everyone who is both not humble and brave is either ... | Lucy is not curious. | contradiction | (![X]:((old(X)&curious(X))<=>(calm(X)|~calm(X))))&
(![X]:((happy(X)|tall(X))=>(~tall(X)&rich(X))))&
(((~old(fred)&~quiet(fred)))=>((wise(alice)<~>kind(alice))))&
(![X]:((~patient(X)&~humble(X))=>~creative(X)))&
(![X]:((~humble(X)&brave(X))<=>(old(X)<~>brave(X))))&
(![X]:(patient(X)=>brave(X)))&
(((~wise(fred)<~>~strong... | ~curious(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5645421448826591261302839
% SZS output start Proof for 5645421448826591261302839
1. ! [X0] : ((curious(X0) & old(X0)) <=> (~calm(X0) | calm(X0))) [input p0]
23. ~curious(lucy) [input hypothesis]
39. ! [X0] : (((curious(X0) & old(X0)) | (calm(X0) & ~calm(X0))) & ((~calm(X0) | calm(X0)) | (... | 0 |
If lucy is either funny or not old then someone is not wise and vice versa.
If lucy is both rich and funny then john is not tall and vice versa.
If someone is both not strong and kind then someone is happy and vice versa.
If john is both happy and not old then someone is either brave or not tall.
Everyone who is not hu... | Susan is not patient. | contradiction | (((funny(lucy)<~>~old(lucy)))<=>(?[X]:(~wise(X))))&
(((rich(lucy)&funny(lucy)))<=>(~tall(john)))&
((?[X]:((~strong(X)&kind(X))))<=>(?[X]:(happy(X))))&
(((happy(john)&~old(john)))=>(?[X]:((brave(X)<~>~tall(X)))))&
(![X]:(~humble(X)=>(generous(X)|kind(X))))&
((creative(mary))<=>(?[X]:((humble(X)|patient(X)))))&
(![X]:(~p... | ~patient(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1922617522682036786473791
% SZS output start Proof for 1922617522682036786473791
7. ! [X0] : (~patient(X0) <=> (patient(X0) & strong(X0))) [input p6]
20. ~patient(susan) [input hypothesis]
50. ! [X0] : ((~patient(X0) | (~patient(X0) | ~strong(X0))) & ((patient(X0) & strong(X0)) | patient(... | 0 |
If paul is both not creative and not quiet then someone is kind. If mary is both happy and not wise then paul is both not quiet and not funny and vice versa. Everyone who is both not rich and not curious is either quiet or not calm and vice versa. Everyone who is both creative and strong is not curious or calm and vice... | Alice is calm. | contradiction | (((~creative(paul)&~quiet(paul)))=>(?[X]:(kind(X))))&
(((happy(mary)&~wise(mary)))<=>((~quiet(paul)&~funny(paul))))&
(![X]:((~rich(X)&~curious(X))<=>(quiet(X)<~>~calm(X))))&
(![X]:((creative(X)&strong(X))<=>(~curious(X)|calm(X))))&
((?[X]:((old(X)&~tall(X))))=>(~wise(susan)))&
(((calm(lucy)|~curious(lucy)))=>((patient(... | calm(alice) | [
"p3",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5079755286420847989215897
% SZS output start Proof for 5079755286420847989215897
4. ! [X0] : ((strong(X0) & creative(X0)) <=> (calm(X0) | ~curious(X0))) [input p3]
22. wise(alice) & ~creative(alice) [input p21]
25. calm(alice) [input hypothesis]
47. ! [X0] : (((strong(X0) & creative(X0)) ... | 0 |
If someone is not generous then fred is not tall or happy and vice versa. If someone is not brave or not generous then susan is old and vice versa. Everyone who is either not generous or funny is humble or not generous and vice versa. Everyone who is wise or not strong is both not wise and not old. If susan is either n... | Mary is rich. | entailment | ((?[X]:(~generous(X)))<=>((~tall(fred)|happy(fred))))&
((?[X]:((~brave(X)|~generous(X))))<=>(old(susan)))&
(![X]:((~generous(X)<~>funny(X))<=>(humble(X)|~generous(X))))&
(![X]:((wise(X)|~strong(X))=>(~wise(X)&~old(X))))&
(((~curious(susan)<~>strong(susan)))=>((~funny(mary)|~generous(mary))))&
(![X]:((creative(X)<~>humb... | rich(mary) | [
"p3",
"p7",
"p8",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2553587599859548418934563
% SZS output start Proof for 2553587599859548418934563
4. ! [X0] : ((~strong(X0) | wise(X0)) => (~old(X0) & ~wise(X0))) [input p3]
8. ! [X0] : (generous(X0) => ~tall(X0)) [input p7]
9. ! [X0] : (~generous(X0) => rich(X0)) [input p8]
13. ! [X0] : ((~patient(X0) <~... | 0 |
Everyone who is either not rich or not curious is not wise or not happy.
If someone is patient then alice is generous.
If someone is either tall or not strong then someone is not brave or tall and vice versa.
Everyone who is creative or not quiet is either not kind or rich and vice versa.
Everyone who is either not str... | Mary is creative. | entailment | (![X]:((~rich(X)<~>~curious(X))=>(~wise(X)|~happy(X))))&
((?[X]:(patient(X)))=>(generous(alice)))&
((?[X]:((tall(X)<~>~strong(X))))<=>(?[X]:((~brave(X)|tall(X)))))&
(![X]:((creative(X)|~quiet(X))<=>(~kind(X)<~>rich(X))))&
(![X]:((~strong(X)<~>kind(X))<=>(~strong(X)<~>rich(X))))&
((~rich(john))=>((funny(paul)<~>patient(... | creative(mary) | [
"p3",
"p4",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6710600557114544515641064
% SZS output start Proof for 6710600557114544515641064
4. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (~kind(X0) <~> rich(X0))) [input p3]
5. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> (~strong(X0) <~> rich(X0))) [input p4]
8. ! [X0] : ((~kind(X0) & ~rich(X0)) <=> ~w... | 0 |
Everyone who is not calm is not tall.
Everyone who is not tall is not tall or strong and vice versa.
Everyone who is not wise or tall is calm or not brave and vice versa.
Everyone who is not strong or curious is both creative and brave and vice versa.
Everyone who is patient is not strong or not brave.
Everyone who is ... | Alice is not brave. | neutral | (![X]:(~calm(X)=>~tall(X)))&
(![X]:(~tall(X)<=>(~tall(X)|strong(X))))&
(![X]:((~wise(X)|tall(X))<=>(calm(X)|~brave(X))))&
(![X]:((~strong(X)|curious(X))<=>(creative(X)&brave(X))))&
(![X]:(patient(X)=>(~strong(X)|~brave(X))))&
(![X]:(humble(X)<=>(wise(X)&~humble(X))))&
((?[X]:((~happy(X)<~>~calm(X))))=>((generous(john)<... | ~brave(alice) | [] | null | 0 |
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