premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If alice is brave or not creative then alice is not brave and vice versa. Everyone who is creative or curious is tall or not happy. If alice is not wise then someone is not old and vice versa. If someone is both brave and patient then someone is either calm or creative and vice versa. If someone is either not funny or ... | Lucy is not calm. | neutral | (((brave(alice)|~creative(alice)))<=>(~brave(alice)))&
(![X]:((creative(X)|curious(X))=>(tall(X)|~happy(X))))&
((~wise(alice))<=>(?[X]:(~old(X))))&
((?[X]:((brave(X)&patient(X))))<=>(?[X]:((calm(X)<~>creative(X)))))&
((?[X]:((~funny(X)<~>quiet(X))))=>((patient(paul)|~kind(paul))))&
((?[X]:(~generous(X)))=>((rich(lucy)<... | ~calm(lucy) | [] | null | 0 |
If susan is not tall then someone is curious and vice versa.
If someone is both not creative and brave then someone is both brave and not creative.
Everyone who is either not patient or rich is not humble or humble and vice versa.
Everyone who is both not old and brave is both not creative and tall and vice versa.
If s... | Lucy is brave. | neutral | ((~tall(susan))<=>(?[X]:(curious(X))))&
((?[X]:((~creative(X)&brave(X))))=>(?[X]:((brave(X)&~creative(X)))))&
(![X]:((~patient(X)<~>rich(X))<=>(~humble(X)|humble(X))))&
(![X]:((~old(X)&brave(X))<=>(~creative(X)&tall(X))))&
((?[X]:((brave(X)&~humble(X))))=>((quiet(lucy)&~happy(lucy))))&
(![X]:((kind(X)|~humble(X))=>(bra... | brave(lucy) | [] | null | 0 |
If mary is not happy or quiet then paul is either humble or not strong and vice versa.
If susan is strong or not strong then someone is either tall or generous and vice versa.
If someone is both generous and not old then susan is kind.
If someone is not generous then someone is either generous or creative.
If lucy is t... | Susan is strong. | contradiction | (((~happy(mary)|quiet(mary)))<=>((humble(paul)<~>~strong(paul))))&
(((strong(susan)|~strong(susan)))<=>(?[X]:((tall(X)<~>generous(X)))))&
((?[X]:((generous(X)&~old(X))))=>(kind(susan)))&
((?[X]:(~generous(X)))=>(?[X]:((generous(X)<~>creative(X)))))&
((tall(lucy))<=>(?[X]:((~brave(X)&funny(X)))))&
(![X]:((~funny(X)|quie... | strong(susan) | [
"p6",
"p8",
"p12",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5669061686396300655265826
% SZS output start Proof for 5669061686396300655265826
7. ! [X0] : ((humble(X0) | tall(X0)) => (~patient(X0) & ~kind(X0))) [input p6]
9. ! [X0] : ((~calm(X0) <~> humble(X0)) <=> (~strong(X0) & funny(X0))) [input p8]
13. ! [X0] : ((~rich(X0) | wise(X0)) => (~creat... | 0 |
Everyone who is both not patient and not curious is either brave or strong and vice versa.
If someone is brave then someone is not creative or not rich.
Everyone who is both rich and tall is not humble or not brave and vice versa.
If someone is either not tall or brave then lucy is both old and not old.
If someone is b... | Mary is humble. | entailment | (![X]:((~patient(X)&~curious(X))<=>(brave(X)<~>strong(X))))&
((?[X]:(brave(X)))=>(?[X]:((~creative(X)|~rich(X)))))&
(![X]:((rich(X)&tall(X))<=>(~humble(X)|~brave(X))))&
((?[X]:((~tall(X)<~>brave(X))))=>((old(lucy)&~old(lucy))))&
((?[X]:((wise(X)&creative(X))))<=>(?[X]:(calm(X))))&
(![X]:((strong(X)|~curious(X))=>~funny... | humble(mary) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8494835861273728443990922
% SZS output start Proof for 8494835861273728443990922
3. ! [X0] : ((tall(X0) & rich(X0)) <=> (~brave(X0) | ~humble(X0))) [input p2]
7. ! [X0] : (~strong(X0) <=> (tall(X0) & strong(X0))) [input p6]
24. ~humble(mary) [input hypothesis]
41. ! [X0] : (((tall(X0) & r... | 0 |
Everyone who is patient or happy is old and vice versa.
Everyone who is tall is either rich or not wise.
Everyone who is both kind and not strong is both not strong and creative.
Everyone who is both not quiet and wise is both not kind and humble and vice versa.
If someone is curious or happy then alice is happy and vi... | Alice is not funny. | entailment | (![X]:((patient(X)|happy(X))<=>old(X)))&
(![X]:(tall(X)=>(rich(X)<~>~wise(X))))&
(![X]:((kind(X)&~strong(X))=>(~strong(X)&creative(X))))&
(![X]:((~quiet(X)&wise(X))<=>(~kind(X)&humble(X))))&
((?[X]:((curious(X)|happy(X))))<=>(happy(alice)))&
((wise(susan))=>(?[X]:((funny(X)<~>humble(X)))))&
((happy(paul))<=>(?[X]:((~br... | ~funny(alice) | [
"p4",
"p6",
"p8",
"p10",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2109299888672622110917445
% SZS output start Proof for 2109299888672622110917445
5. ? [X0] : (happy(X0) | curious(X0)) <=> happy(alice) [input p4]
7. happy(paul) <=> ? [X0] : (~brave(X0) <~> calm(X0)) [input p6]
9. ? [X0] : happy(X0) <=> (~patient(paul) | ~kind(paul)) [input p8]
11. ! [X0... | 0 |
Everyone who is not humble is both not creative and patient and vice versa.
Everyone who is not brave or not old is patient and vice versa.
Everyone who is either curious or not wise is old and vice versa.
Everyone who is brave is both not tall and not old and vice versa.
If paul is either generous or not humble then l... | Susan is old. | contradiction | (![X]:(~humble(X)<=>(~creative(X)&patient(X))))&
(![X]:((~brave(X)|~old(X))<=>patient(X)))&
(![X]:((curious(X)<~>~wise(X))<=>old(X)))&
(![X]:(brave(X)<=>(~tall(X)&~old(X))))&
(((generous(paul)<~>~humble(paul)))<=>((~patient(lucy)|wise(lucy))))&
((?[X]:(~rich(X)))<=>((~calm(paul)<~>~strong(paul))))&
(![X]:(happy(X)<=>~o... | old(susan) | [
"p0",
"p1",
"p3",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 385780694234549496849950
% SZS output start Proof for 385780694234549496849950
1. ! [X0] : (~humble(X0) <=> (patient(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((~old(X0) | ~brave(X0)) <=> patient(X0)) [input p1]
4. ! [X0] : (brave(X0) <=> (~old(X0) & ~tall(X0))) [input p3]
9. ! [X0] : ... | 0 |
Everyone who is both calm and rich is not strong or humble. If lucy is quiet or not patient then someone is funny. Everyone who is either not patient or not brave is either not humble or not happy and vice versa. Everyone who is brave is both brave and not strong. If someone is both tall and rich then someone is both t... | Mary is wise. | contradiction | (![X]:((calm(X)&rich(X))=>(~strong(X)|humble(X))))&
(((quiet(lucy)|~patient(lucy)))=>(?[X]:(funny(X))))&
(![X]:((~patient(X)<~>~brave(X))<=>(~humble(X)<~>~happy(X))))&
(![X]:(brave(X)=>(brave(X)&~strong(X))))&
((?[X]:((tall(X)&rich(X))))<=>(?[X]:((tall(X)&~generous(X)))))&
((?[X]:((curious(X)&patient(X))))<=>(creative(... | wise(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 584738134340701372307785
% SZS output start Proof for 584738134340701372307785
7. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> ~wise(X0)) [input p6]
24. wise(mary) [input hypothesis]
48. ! [X0] : ((((rich(X0) | ~rich(X0)) & (~rich(X0) | rich(X0))) | wise(X0)) & (~wise(X0) | ((rich(X0) | rich(X0... | 0 |
Everyone who is either old or not humble is funny. Everyone who is both creative and not humble is not calm. Everyone who is either not wise or not creative is both not funny and strong and vice versa. Everyone who is not kind is funny or old. If someone is creative then fred is curious. Everyone who is strong is quiet... | Lucy is not creative. | entailment | (![X]:((old(X)<~>~humble(X))=>funny(X)))&
(![X]:((creative(X)&~humble(X))=>~calm(X)))&
(![X]:((~wise(X)<~>~creative(X))<=>(~funny(X)&strong(X))))&
(![X]:(~kind(X)=>(funny(X)|old(X))))&
((?[X]:(creative(X)))=>(curious(fred)))&
(![X]:(strong(X)=>(quiet(X)|funny(X))))&
(((patient(alice)&~curious(alice)))=>((~funny(lucy)&~... | ~creative(lucy) | [
"p2",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9066629006272514637274588
% SZS output start Proof for 9066629006272514637274588
3. ! [X0] : ((~wise(X0) <~> ~creative(X0)) <=> (strong(X0) & ~funny(X0))) [input p2]
10. ! [X0] : (~funny(X0) <=> (wise(X0) & old(X0))) [input p9]
19. ~wise(lucy) [input p18]
25. creative(lucy) [input hypothe... | 0 |
Everyone who is not patient or tall is both not wise and kind and vice versa.
If someone is either strong or funny then paul is both not patient and old.
Everyone who is humble is strong and vice versa.
If someone is not creative or happy then someone is both not rich and happy.
Everyone who is strong is not calm or ta... | Mary is curious. | neutral | (![X]:((~patient(X)|tall(X))<=>(~wise(X)&kind(X))))&
((?[X]:((strong(X)<~>funny(X))))=>((~patient(paul)&old(paul))))&
(![X]:(humble(X)<=>strong(X)))&
((?[X]:((~creative(X)|happy(X))))=>(?[X]:((~rich(X)&happy(X)))))&
(![X]:(strong(X)<=>(~calm(X)|tall(X))))&
((~humble(paul))=>((~creative(paul)|kind(paul))))&
(![X]:((~cre... | curious(mary) | [] | null | 0 |
Everyone who is rich or strong is calm.
Everyone who is patient is tall or creative and vice versa.
If someone is both not patient and kind then alice is both happy and not funny.
Everyone who is not curious is both old and calm and vice versa.
Everyone who is brave is not quiet and vice versa.
Everyone who is wise is ... | Alice is not creative. | neutral | (![X]:((rich(X)|strong(X))=>calm(X)))&
(![X]:(patient(X)<=>(tall(X)|creative(X))))&
((?[X]:((~patient(X)&kind(X))))=>((happy(alice)&~funny(alice))))&
(![X]:(~curious(X)<=>(old(X)&calm(X))))&
(![X]:(brave(X)<=>~quiet(X)))&
(![X]:(wise(X)=>(patient(X)<~>rich(X))))&
((?[X]:(funny(X)))=>((~tall(lucy)|curious(lucy))))&
(![X... | ~creative(alice) | [] | null | 0 |
If mary is either not generous or humble then fred is both not patient and not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone is not brave or kind.
Everyone who is not creative or quiet is both not creative and quiet and vice versa.
E... | Fred is not rich. | entailment | (((~generous(mary)<~>humble(mary)))=>((~patient(fred)&~strong(fred))))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))&
(![X]:((brave(X)|~wise(X))<=>(~rich(X)&creative(X))))&
(![X]:(curiou... | ~rich(fred) | [
"p4",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5589037284761610988341813
% SZS output start Proof for 5589037284761610988341813
5. ! [X0] : ((~wise(X0) | brave(X0)) <=> (creative(X0) & ~rich(X0))) [input p4]
6. ! [X0] : (curious(X0) <=> (curious(X0) <~> humble(X0))) [input p5]
12. ? [X0] : (wise(X0) | ~creative(X0)) => humble(fred) [i... | 0 |
Everyone who is either humble or not quiet is curious and vice versa.
If alice is either not happy or not rich then susan is both not patient and kind.
Everyone who is wise or not patient is both kind and generous.
Everyone who is either not tall or rich is both not generous and calm.
If someone is strong then someone ... | Paul is not generous. | contradiction | (![X]:((humble(X)<~>~quiet(X))<=>curious(X)))&
(((~happy(alice)<~>~rich(alice)))=>((~patient(susan)&kind(susan))))&
(![X]:((wise(X)|~patient(X))=>(kind(X)&generous(X))))&
(![X]:((~tall(X)<~>rich(X))=>(~generous(X)&calm(X))))&
((?[X]:(strong(X)))<=>(?[X]:(wise(X))))&
(![X]:((wise(X)&creative(X))<=>(~happy(X)<~>~rich(X))... | ~generous(paul) | [
"p2",
"p6",
"p7",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8969594287484094829134473
% SZS output start Proof for 8969594287484094829134473
3. ! [X0] : ((~patient(X0) | wise(X0)) => (generous(X0) & kind(X0))) [input p2]
7. ! [X0] : (~curious(X0) => old(X0)) [input p6]
8. ! [X0] : ((tall(X0) & wise(X0)) <=> (curious(X0) | ~humble(X0))) [input p7]
... | 0 |
Everyone who is strong or funny is both strong and kind.
Everyone who is not rich or not brave is either patient or not kind.
If someone is not wise or not tall then someone is not wise or rich.
If john is both not quiet and not kind then someone is either not quiet or humble.
If someone is happy then someone is both n... | Fred is not tall. | contradiction | (![X]:((strong(X)|funny(X))=>(strong(X)&kind(X))))&
(![X]:((~rich(X)|~brave(X))=>(patient(X)<~>~kind(X))))&
((?[X]:((~wise(X)|~tall(X))))=>(?[X]:((~wise(X)|rich(X)))))&
(((~quiet(john)&~kind(john)))=>(?[X]:((~quiet(X)<~>humble(X)))))&
((?[X]:(happy(X)))=>(?[X]:((~tall(X)&curious(X)))))&
(((~strong(alice)&old(alice)))<=... | ~tall(fred) | [
"p2",
"p5",
"p6",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5620960282318122299649429
% SZS output start Proof for 5620960282318122299649429
3. ? [X0] : (~tall(X0) | ~wise(X0)) => ? [X0] : (rich(X0) | ~wise(X0)) [input p2]
6. (old(alice) & ~strong(alice)) <=> ? [X0] : (humble(X0) | rich(X0)) [input p5]
7. ! [X0] : ((rich(X0) | kind(X0)) => (kind(X... | 0 |
If paul is either patient or humble then alice is both kind and not brave.
If someone is not funny or generous then alice is both not old and quiet.
If someone is not humble or not brave then mary is curious or tall.
Everyone who is not wise is not rich and vice versa.
Everyone who is either not creative or brave is qu... | Susan is not generous. | neutral | (((patient(paul)<~>humble(paul)))=>((kind(alice)&~brave(alice))))&
((?[X]:((~funny(X)|generous(X))))=>((~old(alice)&quiet(alice))))&
((?[X]:((~humble(X)|~brave(X))))=>((curious(mary)|tall(mary))))&
(![X]:(~wise(X)<=>~rich(X)))&
(![X]:((~creative(X)<~>brave(X))<=>quiet(X)))&
((?[X]:((~creative(X)&~kind(X))))<=>(happy(su... | ~generous(susan) | [] | null | 0 |
If someone is not tall then alice is either not strong or generous.
If lucy is both not kind and creative then mary is not rich or not kind.
Everyone who is curious or not tall is not humble or not happy and vice versa.
Everyone who is tall or old is not generous or not humble.
Everyone who is not quiet is either not h... | Mary is funny. | contradiction | ((?[X]:(~tall(X)))=>((~strong(alice)<~>generous(alice))))&
(((~kind(lucy)&creative(lucy)))=>((~rich(mary)|~kind(mary))))&
(![X]:((curious(X)|~tall(X))<=>(~humble(X)|~happy(X))))&
(![X]:((tall(X)|old(X))=>(~generous(X)|~humble(X))))&
(![X]:(~quiet(X)<=>(~happy(X)<~>~tall(X))))&
(![X]:((~tall(X)<~>~happy(X))<=>(~funny(X)... | funny(mary) | [
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1804052680516929269488074
% SZS output start Proof for 1804052680516929269488074
10. ? [X0] : (~old(X0) <~> wise(X0)) => (~humble(mary) & ~funny(mary)) [input p9]
18. ? [X0] : (~wise(X0) <~> old(X0)) [input p17]
25. funny(mary) [input hypothesis]
34. (~humble(mary) & ~funny(mary)) | ! [X0... | 0 |
If mary is calm then someone is not quiet.
If someone is either wise or not happy then someone is either not humble or not quiet.
If someone is either old or creative then someone is quiet.
Everyone who is either not humble or patient is either tall or creative and vice versa.
Everyone who is humble or brave is not tal... | John is not generous. | entailment | ((calm(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((wise(X)<~>~happy(X))))=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((?[X]:((old(X)<~>creative(X))))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)<~>patient(X))<=>(tall(X)<~>creative(X))))&
(![X]:((humble(X)|brave(X))=>(~tall(X)|~humble(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(patient(X... | ~generous(john) | [
"p5",
"p6",
"p7",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 584919641631079122570748
% SZS output start Proof for 584919641631079122570748
6. ! [X0] : ((~humble(X0) <~> ~strong(X0)) <=> (patient(X0) <~> generous(X0))) [input p5]
7. ! [X0] : (~patient(X0) => (creative(X0) & ~happy(X0))) [input p6]
8. ! [X0] : ((~strong(X0) | ~calm(X0)) <=> (strong(... | 0 |
Everyone who is not brave is tall and vice versa.
Everyone who is creative or tall is funny or not tall.
If someone is funny or happy then someone is not funny or not generous and vice versa.
If susan is not kind or generous then someone is either curious or generous and vice versa.
Everyone who is both calm and not cu... | Paul is old. | contradiction | (![X]:(~brave(X)<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((?[X]:((funny(X)|happy(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(((~kind(susan)|generous(susan)))<=>(?[X]:((curious(X)<~>generous(X)))))&
(![X]:((calm(X)&~curious(X))<=>funny(X)))&
(![X]:(~old(X)<=>(~humble(X)&~tall(X))))&
((?[X]:((~... | old(paul) | [
"p4",
"p7",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1146842913263846098991509
% SZS output start Proof for 1146842913263846098991509
5. ! [X0] : ((~curious(X0) & calm(X0)) <=> funny(X0)) [input p4]
8. ? [X0] : (~funny(X0) & patient(X0)) <=> (~old(paul) <~> happy(paul)) [input p7]
14. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (~wise(X0) & wise... | 0 |
If susan is both generous and not kind then someone is happy or not calm. Everyone who is creative is both not creative and quiet and vice versa. If someone is both not patient and not brave then someone is both not quiet and wise. Everyone who is not quiet or not old is either patient or not curious and vice versa. Ev... | Fred is strong. | entailment | (((generous(susan)&~kind(susan)))=>(?[X]:((happy(X)|~calm(X)))))&
(![X]:(creative(X)<=>(~creative(X)&quiet(X))))&
((?[X]:((~patient(X)&~brave(X))))=>(?[X]:((~quiet(X)&wise(X)))))&
(![X]:((~quiet(X)|~old(X))<=>(patient(X)<~>~curious(X))))&
(![X]:((~generous(X)|kind(X))<=>(~wise(X)|patient(X))))&
(((funny(john)&~quiet(jo... | strong(fred) | [
"p1",
"p11",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9057287279190781269161360
% SZS output start Proof for 9057287279190781269161360
2. ! [X0] : (creative(X0) <=> (quiet(X0) & ~creative(X0))) [input p1]
12. ! [X0] : ((patient(X0) | generous(X0)) <=> (tall(X0) & strong(X0))) [input p11]
18. generous(fred) <~> brave(fred) [input p17]
19. qui... | 0 |
If susan is not creative or not generous then someone is not brave and vice versa. If paul is not old or old then someone is strong and vice versa. If someone is either not creative or creative then alice is either rich or kind and vice versa. Everyone who is both not rich and not happy is strong. If fred is kind or pa... | Lucy is not rich. | entailment | (((~creative(susan)|~generous(susan)))<=>(?[X]:(~brave(X))))&
(((~old(paul)|old(paul)))<=>(?[X]:(strong(X))))&
((?[X]:((~creative(X)<~>creative(X))))<=>((rich(alice)<~>kind(alice))))&
(![X]:((~rich(X)&~happy(X))=>strong(X)))&
(((kind(fred)|patient(fred)))=>((wise(susan)&~generous(susan))))&
(![X]:(tall(X)=>(~rich(X)&~h... | ~rich(lucy) | [
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4020351572593926075479049
% SZS output start Proof for 4020351572593926075479049
12. ! [X0] : ((~curious(X0) & kind(X0)) <=> (rich(X0) | ~old(X0))) [input p11]
18. ~calm(lucy) & curious(lucy) [input p17]
25. rich(lucy) [input hypothesis]
65. ! [X0] : (((~curious(X0) & kind(X0)) | (~rich(X... | 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... | Lucy is not tall. | entailment | (((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... | ~tall(lucy) | [
"p3",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9076517842865326282702478
% SZS output start Proof for 9076517842865326282702478
4. ! [X0] : ((generous(X0) | strong(X0)) => (~strong(X0) & ~tall(X0))) [input p3]
13. ! [X0] : ((~happy(X0) <~> strong(X0)) => ~tall(X0)) [input p12]
22. ~happy(lucy) [input p21]
25. tall(lucy) [input hypothe... | 0 |
Everyone who is either not funny or tall is both kind and tall.
Everyone who is quiet or not generous is not patient and vice versa.
If susan is both not generous and generous then someone is not patient and vice versa.
Everyone who is not old is brave or strong.
If lucy is strong or funny then paul is both not strong ... | Alice is calm. | contradiction | (![X]:((~funny(X)<~>tall(X))=>(kind(X)&tall(X))))&
(![X]:((quiet(X)|~generous(X))<=>~patient(X)))&
(((~generous(susan)&generous(susan)))<=>(?[X]:(~patient(X))))&
(![X]:(~old(X)=>(brave(X)|strong(X))))&
(((strong(lucy)|funny(lucy)))=>((~strong(paul)&rich(paul))))&
(((kind(lucy)&happy(lucy)))=>(?[X]:((~strong(X)&curious(... | calm(alice) | [
"p1",
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8817675942152932457582270
% SZS output start Proof for 8817675942152932457582270
2. ! [X0] : ((~generous(X0) | quiet(X0)) <=> ~patient(X0)) [input p1]
3. (generous(susan) & ~generous(susan)) <=> ? [X0] : ~patient(X0) [input p2]
8. ! [X0] : ((~patient(X0) | quiet(X0)) <=> calm(X0)) [input ... | 0 |
Everyone who is either funny or not kind is old or not wise and vice versa.
Everyone who is both not curious and not quiet is either not patient or brave.
Everyone who is either not kind or not patient is either not rich or old.
If someone is not happy then someone is either not curious or wise.
Everyone who is both no... | Alice is happy. | entailment | (![X]:((funny(X)<~>~kind(X))<=>(old(X)|~wise(X))))&
(![X]:((~curious(X)&~quiet(X))=>(~patient(X)<~>brave(X))))&
(![X]:((~kind(X)<~>~patient(X))=>(~rich(X)<~>old(X))))&
((?[X]:(~happy(X)))=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:((~creative(X)&kind(X))<=>~humble(X)))&
(![X]:((brave(X)<~>~happy(X))<=>(~tall(X)|humble(X... | happy(alice) | [
"p5",
"p7",
"p10",
"p11",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2043890466076486839594365
% SZS output start Proof for 2043890466076486839594365
6. ! [X0] : ((brave(X0) <~> ~happy(X0)) <=> (humble(X0) | ~tall(X0))) [input p5]
8. ! [X0] : ((~old(X0) | ~calm(X0)) <=> rich(X0)) [input p7]
11. ! [X0] : ((~patient(X0) & ~calm(X0)) <=> brave(X0)) [input p10... | 0 |
If someone is either old or not wise then someone is either strong or funny and vice versa.
If mary is old or strong then fred is either not quiet or creative and vice versa.
Everyone who is humble or not kind is both creative and happy.
If someone is not tall or not funny then john is calm and vice versa.
Everyone who... | John is not rich. | neutral | ((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:((strong(X)<~>funny(X)))))&
(((old(mary)|strong(mary)))<=>((~quiet(fred)<~>creative(fred))))&
(![X]:((humble(X)|~kind(X))=>(creative(X)&happy(X))))&
((?[X]:((~tall(X)|~funny(X))))<=>(calm(john)))&
(![X]:((~kind(X)<~>curious(X))<=>kind(X)))&
(((quiet(alice)|old(alice)))=>(?[X]:((~cr... | ~rich(john) | [] | null | 0 |
Everyone who is either old or not curious is not old or calm and vice versa.
Everyone who is either not humble or brave is not curious and vice versa.
If mary is either rich or not brave then someone is either quiet or not rich and vice versa.
Everyone who is either curious or funny is calm.
If someone is either curiou... | Mary is happy. | neutral | (![X]:((old(X)<~>~curious(X))<=>(~old(X)|calm(X))))&
(![X]:((~humble(X)<~>brave(X))<=>~curious(X)))&
(((rich(mary)<~>~brave(mary)))<=>(?[X]:((quiet(X)<~>~rich(X)))))&
(![X]:((curious(X)<~>funny(X))=>calm(X)))&
((?[X]:((curious(X)<~>~funny(X))))=>(calm(john)))&
((~strong(alice))<=>((~creative(alice)|creative(alice))))&
... | happy(mary) | [] | null | 0 |
Everyone who is wise or rich is either strong or generous.
Everyone who is both kind and old is both generous and not old.
Everyone who is old or humble is calm.
Everyone who is rich or not generous is either not creative or not humble.
If fred is either not brave or not wise then someone is either not kind or humble a... | Susan is not patient. | neutral | (![X]:((wise(X)|rich(X))=>(strong(X)<~>generous(X))))&
(![X]:((kind(X)&old(X))=>(generous(X)&~old(X))))&
(![X]:((old(X)|humble(X))=>calm(X)))&
(![X]:((rich(X)|~generous(X))=>(~creative(X)<~>~humble(X))))&
(((~brave(fred)<~>~wise(fred)))<=>(?[X]:((~kind(X)<~>humble(X)))))&
(![X]:((funny(X)&~quiet(X))=>(~generous(X)|~cal... | ~patient(susan) | [] | null | 0 |
Everyone who is both curious and patient is rich or not wise and vice versa.
Everyone who is both not humble and not funny is both not tall and not funny.
If someone is either not rich or funny then someone is not calm or not wise.
Everyone who is either kind or generous is funny.
Everyone who is kind is both tall and ... | Lucy is rich. | contradiction | (![X]:((curious(X)&patient(X))<=>(rich(X)|~wise(X))))&
(![X]:((~humble(X)&~funny(X))=>(~tall(X)&~funny(X))))&
((?[X]:((~rich(X)<~>funny(X))))=>(?[X]:((~calm(X)|~wise(X)))))&
(![X]:((kind(X)<~>generous(X))=>funny(X)))&
(![X]:(kind(X)=>(tall(X)&brave(X))))&
(![X]:((kind(X)|curious(X))<=>~funny(X)))&
((?[X]:((~curious(X)&... | rich(lucy) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7058981683828798461779716
% SZS output start Proof for 7058981683828798461779716
1. ! [X0] : ((patient(X0) & curious(X0)) <=> (~wise(X0) | rich(X0))) [input p0]
21. ~patient(lucy) & brave(lucy) [input p20]
24. rich(lucy) [input hypothesis]
42. ! [X0] : (((patient(X0) & curious(X0)) | (wis... | 0 |
If someone is both brave and old then paul is both not brave and not quiet.
If susan is not rich or tall then someone is calm and vice versa.
If susan is either not quiet or not happy then someone is either brave or quiet and vice versa.
Everyone who is not generous or not rich is both funny and not old and vice versa.... | Susan is not old. | contradiction | ((?[X]:((brave(X)&old(X))))=>((~brave(paul)&~quiet(paul))))&
(((~rich(susan)|tall(susan)))<=>(?[X]:(calm(X))))&
(((~quiet(susan)<~>~happy(susan)))<=>(?[X]:((brave(X)<~>quiet(X)))))&
(![X]:((~generous(X)|~rich(X))<=>(funny(X)&~old(X))))&
(![X]:((wise(X)<~>rich(X))=>(kind(X)&~rich(X))))&
(![X]:((kind(X)<~>tall(X))<=>(fun... | ~old(susan) | [
"p3",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2967091295171297284678535
% SZS output start Proof for 2967091295171297284678535
4. ! [X0] : ((~rich(X0) | ~generous(X0)) <=> (~old(X0) & funny(X0))) [input p3]
8. ! [X0] : ((~old(X0) | ~generous(X0)) => (happy(X0) & ~generous(X0))) [input p7]
12. ! [X0] : ((~tall(X0) & generous(X0)) <=> ... | 0 |
If someone is either happy or creative then fred is kind or not quiet.
Everyone who is not calm or kind is not funny or generous.
If someone is both not creative and not generous then mary is not calm or not happy and vice versa.
Everyone who is rich or creative is both quiet and not tall.
Everyone who is both not curi... | Mary is generous. | neutral | ((?[X]:((happy(X)<~>creative(X))))=>((kind(fred)|~quiet(fred))))&
(![X]:((~calm(X)|kind(X))=>(~funny(X)|generous(X))))&
((?[X]:((~creative(X)&~generous(X))))<=>((~calm(mary)|~happy(mary))))&
(![X]:((rich(X)|creative(X))=>(quiet(X)&~tall(X))))&
(![X]:((~curious(X)&~strong(X))=>(~happy(X)<~>curious(X))))&
(((~brave(alice... | generous(mary) | [] | null | 0 |
Everyone who is either not patient or not quiet is both not patient and kind.
Everyone who is not wise or not calm is either calm or humble and vice versa.
Everyone who is not tall or not calm is either quiet or not creative.
Everyone who is not calm or calm is not creative or curious.
Everyone who is not quiet or rich... | John is happy. | neutral | (![X]:((~patient(X)<~>~quiet(X))=>(~patient(X)&kind(X))))&
(![X]:((~wise(X)|~calm(X))<=>(calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~calm(X))=>(quiet(X)<~>~creative(X))))&
(![X]:((~calm(X)|calm(X))=>(~creative(X)|curious(X))))&
(![X]:((~quiet(X)|rich(X))=>(patient(X)&kind(X))))&
(![X]:((strong(X)|funny(X))<=>generous(X))... | happy(john) | [] | null | 0 |
If alice is either not brave or not patient then alice is not quiet or not generous and vice versa.
Everyone who is either not curious or strong is not old.
If someone is either not funny or not generous then someone is not curious or old and vice versa.
Everyone who is not creative is humble and vice versa.
Everyone w... | Fred is humble. | contradiction | (((~brave(alice)<~>~patient(alice)))<=>((~quiet(alice)|~generous(alice))))&
(![X]:((~curious(X)<~>strong(X))=>~old(X)))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:((~curious(X)|old(X)))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:((~quiet(X)&~rich(X))=>(strong(X)|rich(X))))&
(![X]:((~wise(X)&brave(X))<=>~kind(X)))&
... | humble(fred) | [
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3816869683029679231633758
% SZS output start Proof for 3816869683029679231633758
4. ! [X0] : (~creative(X0) <=> humble(X0)) [input p3]
7. ? [X0] : (patient(X0) <~> creative(X0)) => ? [X0] : (~funny(X0) & funny(X0)) [input p6]
8. ! [X0] : ((humble(X0) | ~tall(X0)) <=> patient(X0)) [input p... | 0 |
If mary is both generous and patient then alice is quiet or not calm and vice versa.
Everyone who is both not kind and brave is either humble or quiet and vice versa.
If someone is strong then lucy is both old and calm.
Everyone who is funny is both brave and tall and vice versa.
Everyone who is not patient is both old... | Alice is not happy. | neutral | (((generous(mary)&patient(mary)))<=>((quiet(alice)|~calm(alice))))&
(![X]:((~kind(X)&brave(X))<=>(humble(X)<~>quiet(X))))&
((?[X]:(strong(X)))=>((old(lucy)&calm(lucy))))&
(![X]:(funny(X)<=>(brave(X)&tall(X))))&
(![X]:(~patient(X)=>(old(X)&funny(X))))&
(((~happy(fred)|wise(fred)))=>(?[X]:((patient(X)&~creative(X)))))&
(... | ~happy(alice) | [] | null | 0 |
Everyone who is either humble or not old is both old and curious.
If someone is humble or rich then mary is wise and vice versa.
Everyone who is either not kind or happy is brave.
Everyone who is calm is brave or not strong and vice versa.
If john is both happy and funny then someone is strong or not generous and vice ... | Mary is not strong. | neutral | (![X]:((humble(X)<~>~old(X))=>(old(X)&curious(X))))&
((?[X]:((humble(X)|rich(X))))<=>(wise(mary)))&
(![X]:((~kind(X)<~>happy(X))=>brave(X)))&
(![X]:(calm(X)<=>(brave(X)|~strong(X))))&
(((happy(john)&funny(john)))<=>(?[X]:((strong(X)|~generous(X)))))&
(![X]:((~strong(X)|kind(X))<=>(old(X)&happy(X))))&
(![X]:((~humble(X)... | ~strong(mary) | [] | null | 0 |
Everyone who is not tall or humble is either not brave or calm.
Everyone who is not tall or not generous is both not creative and curious.
If someone is kind or quiet then someone is not brave or not wise and vice versa.
If susan is both rich and tall then someone is both strong and happy and vice versa.
Everyone who i... | Fred is old. | entailment | (![X]:((~tall(X)|humble(X))=>(~brave(X)<~>calm(X))))&
(![X]:((~tall(X)|~generous(X))=>(~creative(X)&curious(X))))&
((?[X]:((kind(X)|quiet(X))))<=>(?[X]:((~brave(X)|~wise(X)))))&
(((rich(susan)&tall(susan)))<=>(?[X]:((strong(X)&happy(X)))))&
(![X]:((tall(X)&quiet(X))=>(quiet(X)&funny(X))))&
((?[X]:((rich(X)&~quiet(X))))... | old(fred) | [
"p1",
"p4",
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2721013684272875089201392
% SZS output start Proof for 2721013684272875089201392
2. ! [X0] : ((~generous(X0) | ~tall(X0)) => (curious(X0) & ~creative(X0))) [input p1]
5. ! [X0] : ((quiet(X0) & tall(X0)) => (funny(X0) & quiet(X0))) [input p4]
8. ! [X0] : (~funny(X0) <=> (funny(X0) | ~stron... | 0 |
If someone is both not strong and not happy then lucy is both not quiet and not brave. If someone is both strong and not patient then alice is both not curious and funny. Everyone who is either not creative or not humble is patient or kind. Everyone who is either not quiet or creative is either patient or happy. Everyo... | Alice is brave. | contradiction | ((?[X]:((~strong(X)&~happy(X))))=>((~quiet(lucy)&~brave(lucy))))&
((?[X]:((strong(X)&~patient(X))))=>((~curious(alice)&funny(alice))))&
(![X]:((~creative(X)<~>~humble(X))=>(patient(X)|kind(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(patient(X)<~>happy(X))))&
(![X]:((~kind(X)|~old(X))=>(~humble(X)<~>~old(X))))&
(![X]:((ki... | brave(alice) | [
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6110607057927479835456145
% SZS output start Proof for 6110607057927479835456145
15. ! [X0] : (creative(X0) => (~brave(X0) & kind(X0))) [input p14]
20. quiet(alice) & creative(alice) [input p19]
25. brave(alice) [input hypothesis]
36. ! [X0] : ((~brave(X0) & kind(X0)) | ~creative(X0)) [en... | 0 |
If someone is curious or not humble then mary is either patient or creative and vice versa.
If john is not patient then lucy is either wise or not funny and vice versa.
Everyone who is either happy or not wise is patient or not strong and vice versa.
If someone is either generous or not quiet then lucy is not happy.
If... | Mary is patient. | entailment | ((?[X]:((curious(X)|~humble(X))))<=>((patient(mary)<~>creative(mary))))&
((~patient(john))<=>((wise(lucy)<~>~funny(lucy))))&
(![X]:((happy(X)<~>~wise(X))<=>(patient(X)|~strong(X))))&
((?[X]:((generous(X)<~>~quiet(X))))=>(~happy(lucy)))&
((?[X]:(~quiet(X)))=>((~funny(mary)|wise(mary))))&
(((curious(susan)|strong(susan))... | patient(mary) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8927788719450377926658449
% SZS output start Proof for 8927788719450377926658449
14. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (old(X0) & ~old(X0))) [input p13]
25. ~patient(mary) [input hypothesis]
54. ! [X0] : (((~patient(X0) | ~wise(X0)) | (~old(X0) | old(X0))) & ((old(X0) & ~old(X0)) |... | 0 |
Everyone who is not old or not tall is funny or happy and vice versa.
Everyone who is both not strong and tall is rich and vice versa.
If someone is both not strong and not quiet then someone is brave or not humble.
Everyone who is both quiet and curious is either not generous or not quiet and vice versa.
Everyone who ... | Alice is patient. | contradiction | (![X]:((~old(X)|~tall(X))<=>(funny(X)|happy(X))))&
(![X]:((~strong(X)&tall(X))<=>rich(X)))&
((?[X]:((~strong(X)&~quiet(X))))=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((quiet(X)&curious(X))<=>(~generous(X)<~>~quiet(X))))&
(![X]:((happy(X)|~brave(X))=>~kind(X)))&
(![X]:((~funny(X)|kind(X))<=>~happy(X)))&
(((curious(fred)<... | patient(alice) | [
"p3",
"p4",
"p7",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9197823687312746457112979
% SZS output start Proof for 9197823687312746457112979
4. ! [X0] : ((curious(X0) & quiet(X0)) <=> (~generous(X0) <~> ~quiet(X0))) [input p3]
5. ! [X0] : ((~brave(X0) | happy(X0)) => ~kind(X0)) [input p4]
8. (happy(alice) <~> calm(alice)) => (quiet(susan) & ~quiet... | 0 |
Everyone who is not funny or creative is not tall or tall and vice versa.
Everyone who is either happy or kind is not old or creative.
Everyone who is not brave or not happy is both rich and not quiet.
Everyone who is either quiet or not tall is both not funny and not kind.
If someone is either rich or wise then someon... | Alice is not tall. | entailment | (![X]:((~funny(X)|creative(X))<=>(~tall(X)|tall(X))))&
(![X]:((happy(X)<~>kind(X))=>(~old(X)|creative(X))))&
(![X]:((~brave(X)|~happy(X))=>(rich(X)&~quiet(X))))&
(![X]:((quiet(X)<~>~tall(X))=>(~funny(X)&~kind(X))))&
((?[X]:((rich(X)<~>wise(X))))=>(?[X]:((calm(X)|~calm(X)))))&
(![X]:(~curious(X)=>(wise(X)&brave(X))))&
(... | ~tall(alice) | [
"p3",
"p5",
"p6",
"p7",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8942129456787468407739147
% SZS output start Proof for 8942129456787468407739147
4. ! [X0] : ((quiet(X0) <~> ~tall(X0)) => (~kind(X0) & ~funny(X0))) [input p3]
6. ! [X0] : (~curious(X0) => (brave(X0) & wise(X0))) [input p5]
7. ! [X0] : ((quiet(X0) & kind(X0)) <=> (wise(X0) <~> old(X0))) [... | 0 |
If someone is not generous then alice is both not curious and calm.
If someone is either not generous or happy then someone is both not strong and not funny and vice versa.
If john is either not old or generous then fred is not curious.
Everyone who is either not tall or not kind is not brave and vice versa.
If someone... | Paul is calm. | contradiction | ((?[X]:(~generous(X)))=>((~curious(alice)&calm(alice))))&
((?[X]:((~generous(X)<~>happy(X))))<=>(?[X]:((~strong(X)&~funny(X)))))&
(((~old(john)<~>generous(john)))=>(~curious(fred)))&
(![X]:((~tall(X)<~>~kind(X))<=>~brave(X)))&
((?[X]:(happy(X)))<=>(?[X]:((kind(X)|rich(X)))))&
(![X]:((brave(X)&curious(X))<=>(brave(X)&~o... | calm(paul) | [
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6555026108376113671273717
% SZS output start Proof for 6555026108376113671273717
7. ! [X0] : ((brave(X0) | ~brave(X0)) => (strong(X0) & ~old(X0))) [input p6]
8. ! [X0] : (strong(X0) <=> (~brave(X0) & ~creative(X0))) [input p7]
13. ! [X0] : (creative(X0) <=> (calm(X0) | ~curious(X0))) [inp... | 0 |
If someone is creative or not rich then someone is both not tall and humble and vice versa. If mary is not quiet or kind then susan is not humble or humble and vice versa. Everyone who is either not wise or not old is both patient and rich and vice versa. Everyone who is generous or not creative is either not curious o... | Susan is not curious. | contradiction | ((?[X]:((creative(X)|~rich(X))))<=>(?[X]:((~tall(X)&humble(X)))))&
(((~quiet(mary)|kind(mary)))<=>((~humble(susan)|humble(susan))))&
(![X]:((~wise(X)<~>~old(X))<=>(patient(X)&rich(X))))&
(![X]:((generous(X)|~creative(X))<=>(~curious(X)<~>~brave(X))))&
(![X]:(wise(X)<=>(~calm(X)|funny(X))))&
((?[X]:((~strong(X)&brave(X)... | ~curious(susan) | [
"p3",
"p4",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4751066762059466249450266
% SZS output start Proof for 4751066762059466249450266
4. ! [X0] : ((~creative(X0) | generous(X0)) <=> (~curious(X0) <~> ~brave(X0))) [input p3]
5. ! [X0] : (wise(X0) <=> (funny(X0) | ~calm(X0))) [input p4]
10. ! [X0] : (~brave(X0) => (brave(X0) & ~funny(X0))) [i... | 0 |
Everyone who is calm is old or wise and vice versa.
If john is not patient or not wise then fred is quiet and vice versa.
Everyone who is both not rich and not curious is both old and strong.
If alice is either not happy or humble then susan is not rich and vice versa.
If someone is both not curious and patient then so... | Susan is curious. | neutral | (![X]:(calm(X)<=>(old(X)|wise(X))))&
(((~patient(john)|~wise(john)))<=>(quiet(fred)))&
(![X]:((~rich(X)&~curious(X))=>(old(X)&strong(X))))&
(((~happy(alice)<~>humble(alice)))<=>(~rich(susan)))&
((?[X]:((~curious(X)&patient(X))))<=>(?[X]:((kind(X)|funny(X)))))&
(![X]:((~old(X)<~>~patient(X))=>(~wise(X)&~funny(X))))&
(![... | curious(susan) | [] | null | 0 |
Everyone who is both not brave and not creative is not calm or not curious and vice versa.
If someone is either not creative or calm then lucy is either not kind or generous.
Everyone who is either humble or not generous is either not patient or generous.
Everyone who is wise or not wise is funny.
If someone is either ... | Susan is not tall. | contradiction | (![X]:((~brave(X)&~creative(X))<=>(~calm(X)|~curious(X))))&
((?[X]:((~creative(X)<~>calm(X))))=>((~kind(lucy)<~>generous(lucy))))&
(![X]:((humble(X)<~>~generous(X))=>(~patient(X)<~>generous(X))))&
(![X]:((wise(X)|~wise(X))=>funny(X)))&
((?[X]:((~strong(X)<~>~rich(X))))=>(?[X]:((~rich(X)<~>quiet(X)))))&
(![X]:((~strong(... | ~tall(susan) | [
"p0",
"p3",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8069187092095677475283072
% SZS output start Proof for 8069187092095677475283072
1. ! [X0] : ((~creative(X0) & ~brave(X0)) <=> (~curious(X0) | ~calm(X0))) [input p0]
4. ! [X0] : ((~wise(X0) | wise(X0)) => funny(X0)) [input p3]
6. ! [X0] : ((~funny(X0) & ~strong(X0)) <=> (~creative(X0) | h... | 0 |
Everyone who is not creative or happy is quiet or happy.
Everyone who is rich is not generous or not tall.
Everyone who is either brave or not humble is both creative and not humble.
If someone is both not patient and calm then someone is both patient and not tall.
If someone is either old or curious then paul is humbl... | John is tall. | entailment | (![X]:((~creative(X)|happy(X))=>(quiet(X)|happy(X))))&
(![X]:(rich(X)=>(~generous(X)|~tall(X))))&
(![X]:((brave(X)<~>~humble(X))=>(creative(X)&~humble(X))))&
((?[X]:((~patient(X)&calm(X))))=>(?[X]:((patient(X)&~tall(X)))))&
((?[X]:((old(X)<~>curious(X))))<=>((humble(paul)|~patient(paul))))&
(((creative(john)&~creative(... | tall(john) | [
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 539455961295349779967641
% SZS output start Proof for 539455961295349779967641
8. ! [X0] : (~strong(X0) => (tall(X0) & ~rich(X0))) [input p7]
11. (~strong(john) & tall(john)) <=> patient(fred) [input p10]
21. kind(john) & ~strong(john) [input p20]
25. ~tall(john) [input hypothesis]
32. ! ... | 0 |
If paul is funny then mary is both not funny and not rich.
Everyone who is quiet is funny.
If lucy is creative then susan is either old or not rich.
Everyone who is both strong and not tall is either not curious or not happy.
If mary is not happy or not calm then john is both rich and calm and vice versa.
Everyone who ... | Susan is patient. | neutral | ((funny(paul))=>((~funny(mary)&~rich(mary))))&
(![X]:(quiet(X)=>funny(X)))&
((creative(lucy))=>((old(susan)<~>~rich(susan))))&
(![X]:((strong(X)&~tall(X))=>(~curious(X)<~>~happy(X))))&
(((~happy(mary)|~calm(mary)))<=>((rich(john)&calm(john))))&
(![X]:((~humble(X)<~>happy(X))=>curious(X)))&
(![X]:((quiet(X)<~>curious(X)... | patient(susan) | [] | null | 0 |
Everyone who is either old or tall is both not funny and quiet. Everyone who is strong or not calm is either strong or not old and vice versa. Everyone who is both calm and brave is wise or generous and vice versa. If fred is both tall and not calm then someone is both wise and kind. Everyone who is both creative and n... | Susan is wise. | contradiction | (![X]:((old(X)<~>tall(X))=>(~funny(X)&quiet(X))))&
(![X]:((strong(X)|~calm(X))<=>(strong(X)<~>~old(X))))&
(![X]:((calm(X)&brave(X))<=>(wise(X)|generous(X))))&
(((tall(fred)&~calm(fred)))=>(?[X]:((wise(X)&kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>(wise(X)&brave(X))))&
(![X]:((~tall(X)<~>funny(X))=>rich(X)))&
(((gener... | wise(susan) | [
"p1",
"p2",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5390671580422229781188823
% SZS output start Proof for 5390671580422229781188823
2. ! [X0] : ((~calm(X0) | strong(X0)) <=> (strong(X0) <~> ~old(X0))) [input p1]
3. ! [X0] : ((brave(X0) & calm(X0)) <=> (generous(X0) | wise(X0))) [input p2]
8. ! [X0] : ((generous(X0) | quiet(X0)) <=> (~brav... | 0 |
Everyone who is not creative or strong is not humble and vice versa.
Everyone who is either not old or not curious is patient.
If alice is kind then susan is either wise or not tall and vice versa.
Everyone who is either tall or not patient is either wise or not wise and vice versa.
Everyone who is either not rich or c... | Alice is not funny. | neutral | (![X]:((~creative(X)|strong(X))<=>~humble(X)))&
(![X]:((~old(X)<~>~curious(X))=>patient(X)))&
((kind(alice))<=>((wise(susan)<~>~tall(susan))))&
(![X]:((tall(X)<~>~patient(X))<=>(wise(X)<~>~wise(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~strong(X)<~>~humble(X))))&
((wise(fred))<=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((~c... | ~funny(alice) | [] | null | 0 |
Everyone who is not rich or not patient is not humble and vice versa. Everyone who is either not humble or happy is creative or not brave. If lucy is either not calm or patient then mary is either not patient or not tall and vice versa. If someone is either not curious or funny then alice is both not patient and creati... | Alice is funny. | entailment | (![X]:((~rich(X)|~patient(X))<=>~humble(X)))&
(![X]:((~humble(X)<~>happy(X))=>(creative(X)|~brave(X))))&
(((~calm(lucy)<~>patient(lucy)))<=>((~patient(mary)<~>~tall(mary))))&
((?[X]:((~curious(X)<~>funny(X))))=>((~patient(alice)&creative(alice))))&
((?[X]:((~funny(X)|generous(X))))=>(?[X]:((happy(X)&~generous(X)))))&
(... | funny(alice) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3950142214812574177718544
% SZS output start Proof for 3950142214812574177718544
5. ? [X0] : (generous(X0) | ~funny(X0)) => ? [X0] : (~generous(X0) & happy(X0)) [input p4]
11. ! [X0] : (~brave(X0) => (~happy(X0) & ~patient(X0))) [input p10]
13. ? [X0] : brave(X0) => ? [X0] : (tall(X0) & ~... | 0 |
If someone is either not humble or not wise then someone is either not happy or not patient and vice versa. If someone is either not brave or not generous then lucy is not strong or not quiet and vice versa. If fred is not creative or not tall then someone is brave or patient. Everyone who is not generous is brave and ... | John is patient. | neutral | ((?[X]:((~humble(X)<~>~wise(X))))<=>(?[X]:((~happy(X)<~>~patient(X)))))&
((?[X]:((~brave(X)<~>~generous(X))))<=>((~strong(lucy)|~quiet(lucy))))&
(((~creative(fred)|~tall(fred)))=>(?[X]:((brave(X)|patient(X)))))&
(![X]:(~generous(X)<=>brave(X)))&
((strong(mary))=>(?[X]:(patient(X))))&
(((~brave(fred)<~>~calm(fred)))=>(q... | patient(john) | [] | null | 0 |
Everyone who is not funny is both calm and wise. Everyone who is either funny or old is both not curious and not creative. Everyone who is either curious or not happy is either not tall or not patient. If lucy is not curious then someone is either generous or not generous. If someone is either rich or not rich then sus... | John is generous. | neutral | (![X]:(~funny(X)=>(calm(X)&wise(X))))&
(![X]:((funny(X)<~>old(X))=>(~curious(X)&~creative(X))))&
(![X]:((curious(X)<~>~happy(X))=>(~tall(X)<~>~patient(X))))&
((~curious(lucy))=>(?[X]:((generous(X)<~>~generous(X)))))&
((?[X]:((rich(X)<~>~rich(X))))<=>(~patient(susan)))&
(![X]:((~rich(X)|~creative(X))<=>(~patient(X)<~>~c... | generous(john) | [] | null | 0 |
If someone is not funny or not quiet then mary is either happy or brave and vice versa. If someone is creative then paul is both not old and kind and vice versa. Everyone who is brave is either not creative or brave and vice versa. Everyone who is both not brave and not kind is not funny. Everyone who is either not tal... | Lucy is creative. | entailment | ((?[X]:((~funny(X)|~quiet(X))))<=>((happy(mary)<~>brave(mary))))&
((?[X]:(creative(X)))<=>((~old(paul)&kind(paul))))&
(![X]:(brave(X)<=>(~creative(X)<~>brave(X))))&
(![X]:((~brave(X)&~kind(X))=>~funny(X)))&
(![X]:((~tall(X)<~>~brave(X))=>(strong(X)|~creative(X))))&
(((quiet(alice)|funny(alice)))<=>(?[X]:((~quiet(X)<~>q... | creative(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 785128769129580678769315
% SZS output start Proof for 785128769129580678769315
3. ! [X0] : (brave(X0) <=> (~creative(X0) <~> brave(X0))) [input p2]
22. ~creative(lucy) [input hypothesis]
42. ! [X0] : ((brave(X0) | ((~creative(X0) | ~brave(X0)) & (brave(X0) | creative(X0)))) & (((~brave(X0... | 0 |
Everyone who is both not humble and not strong is both not generous and not kind and vice versa. Everyone who is rich or quiet is both tall and funny. If someone is not curious or not humble then paul is either not strong or creative and vice versa. If lucy is either not funny or kind then john is either not kind or br... | Susan is not funny. | entailment | (![X]:((~humble(X)&~strong(X))<=>(~generous(X)&~kind(X))))&
(![X]:((rich(X)|quiet(X))=>(tall(X)&funny(X))))&
((?[X]:((~curious(X)|~humble(X))))<=>((~strong(paul)<~>creative(paul))))&
(((~funny(lucy)<~>kind(lucy)))=>((~kind(john)<~>brave(john))))&
(![X]:((creative(X)&~curious(X))=>(~humble(X)<~>~funny(X))))&
((brave(fre... | ~funny(susan) | [
"p6",
"p9",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8403601058021717519563737
% SZS output start Proof for 8403601058021717519563737
7. (curious(alice) | ~kind(alice)) => generous(lucy) [input p6]
10. ~brave(susan) <=> ? [X0] : ~curious(X0) [input p9]
12. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~funny(X0) <~> ~brave(X0))) [input p11]
14. ! ... | 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 not curious. | entailment | (((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 7905074052340933082267133
% SZS output start Proof for 7905074052340933082267133
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 |
If fred is both calm and not calm then someone is either kind or not brave and vice versa.
If susan is tall or generous then someone is humble or funny and vice versa.
If paul is either rich or tall then alice is both curious and not humble and vice versa.
Everyone who is quiet is both brave and not quiet and vice vers... | Fred is not brave. | entailment | (((calm(fred)&~calm(fred)))<=>(?[X]:((kind(X)<~>~brave(X)))))&
(((tall(susan)|generous(susan)))<=>(?[X]:((humble(X)|funny(X)))))&
(((rich(paul)<~>tall(paul)))<=>((curious(alice)&~humble(alice))))&
(![X]:(quiet(X)<=>(brave(X)&~quiet(X))))&
(((~tall(fred)&strong(fred)))=>((~creative(fred)|old(fred))))&
(![X]:((old(X)|str... | ~brave(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6382733196546013748179614
% SZS output start Proof for 6382733196546013748179614
4. ! [X0] : (quiet(X0) <=> (~quiet(X0) & brave(X0))) [input p3]
25. brave(fred) [input hypothesis]
53. ! [X0] : ((quiet(X0) | (quiet(X0) | ~brave(X0))) & ((~quiet(X0) & brave(X0)) | ~quiet(X0))) [nnf transfor... | 0 |
Everyone who is not generous is happy and vice versa.
Everyone who is not quiet or happy is both generous and not happy and vice versa.
Everyone who is either not strong or funny is either not kind or kind and vice versa.
Everyone who is tall is either not tall or not happy.
Everyone who is old is rich or generous and ... | Alice is not strong. | contradiction | (![X]:(~generous(X)<=>happy(X)))&
(![X]:((~quiet(X)|happy(X))<=>(generous(X)&~happy(X))))&
(![X]:((~strong(X)<~>funny(X))<=>(~kind(X)<~>kind(X))))&
(![X]:(tall(X)=>(~tall(X)<~>~happy(X))))&
(![X]:(old(X)<=>(rich(X)|generous(X))))&
(![X]:(~patient(X)<=>(brave(X)<~>patient(X))))&
(![X]:((humble(X)|~humble(X))=>~happy(X))... | ~strong(alice) | [
"p2",
"p11",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4527438723740704138504839
% SZS output start Proof for 4527438723740704138504839
3. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> (~kind(X0) <~> kind(X0))) [input p2]
12. ! [X0] : ((~tall(X0) <~> ~patient(X0)) => (quiet(X0) | funny(X0))) [input p11]
15. ! [X0] : (quiet(X0) => (~generous(X0) &... | 0 |
If fred is not humble then someone is not old or not kind and vice versa. Everyone who is tall or not patient is either not brave or quiet. Everyone who is generous is not old and vice versa. Everyone who is not kind is not funny or not old. Everyone who is both generous and old is both not calm and kind. Everyone who ... | Fred is not creative. | neutral | ((~humble(fred))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((tall(X)|~patient(X))=>(~brave(X)<~>quiet(X))))&
(![X]:(generous(X)<=>~old(X)))&
(![X]:(~kind(X)=>(~funny(X)|~old(X))))&
(![X]:((generous(X)&old(X))=>(~calm(X)&kind(X))))&
(![X]:(~patient(X)<=>brave(X)))&
(![X]:(brave(X)<=>(~strong(X)&~happy(X))))&
((?[X]:((~creat... | ~creative(fred) | [] | null | 0 |
Everyone who is either not funny or kind is either happy or curious and vice versa.
Everyone who is not old is not funny or not calm and vice versa.
Everyone who is either curious or not funny is not curious and vice versa.
Everyone who is not patient is either not calm or not quiet and vice versa.
If someone is either... | Fred is not happy. | neutral | (![X]:((~funny(X)<~>kind(X))<=>(happy(X)<~>curious(X))))&
(![X]:(~old(X)<=>(~funny(X)|~calm(X))))&
(![X]:((curious(X)<~>~funny(X))<=>~curious(X)))&
(![X]:(~patient(X)<=>(~calm(X)<~>~quiet(X))))&
((?[X]:((~wise(X)<~>~humble(X))))<=>(?[X]:((~creative(X)&~happy(X)))))&
((?[X]:(humble(X)))<=>(?[X]:(~calm(X))))&
((?[X]:(~qu... | ~happy(fred) | [] | null | 0 |
Everyone who is not happy or strong is quiet and vice versa.
Everyone who is either curious or not patient is either rich or tall.
If john is both not strong and not tall then susan is either curious or not happy and vice versa.
If someone is not rich then someone is either quiet or strong and vice versa.
Everyone who ... | Fred is old. | neutral | (![X]:((~happy(X)|strong(X))<=>quiet(X)))&
(![X]:((curious(X)<~>~patient(X))=>(rich(X)<~>tall(X))))&
(((~strong(john)&~tall(john)))<=>((curious(susan)<~>~happy(susan))))&
((?[X]:(~rich(X)))<=>(?[X]:((quiet(X)<~>strong(X)))))&
(![X]:((~wise(X)|~creative(X))<=>(funny(X)<~>calm(X))))&
((?[X]:((generous(X)<~>funny(X))))=>(... | old(fred) | [] | null | 0 |
If someone is either not patient or not creative then lucy is kind.
Everyone who is creative or not calm is humble and vice versa.
Everyone who is not happy or strong is either brave or not generous and vice versa.
If susan is either happy or not funny then lucy is either creative or not curious and vice versa.
Everyon... | Mary is not patient. | entailment | ((?[X]:((~patient(X)<~>~creative(X))))=>(kind(lucy)))&
(![X]:((creative(X)|~calm(X))<=>humble(X)))&
(![X]:((~happy(X)|strong(X))<=>(brave(X)<~>~generous(X))))&
(((happy(susan)<~>~funny(susan)))<=>((creative(lucy)<~>~curious(lucy))))&
(![X]:((~calm(X)|~wise(X))<=>(~kind(X)&~curious(X))))&
(((~humble(paul)|~patient(paul)... | ~patient(mary) | [
"p1",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7356686028238084613244397
% SZS output start Proof for 7356686028238084613244397
2. ! [X0] : ((~calm(X0) | creative(X0)) <=> humble(X0)) [input p1]
10. ! [X0] : ((~humble(X0) & brave(X0)) <=> (creative(X0) | ~happy(X0))) [input p9]
13. ! [X0] : ((wise(X0) | ~creative(X0)) => (~patient(X0)... | 0 |
Everyone who is both strong and not quiet is either not old or patient and vice versa.
If paul is not calm or not generous then alice is not generous or not tall and vice versa.
If lucy is not patient then fred is either kind or tall.
If someone is both not humble and not creative then alice is tall and vice versa.
If ... | Mary is not patient. | neutral | (![X]:((strong(X)&~quiet(X))<=>(~old(X)<~>patient(X))))&
(((~calm(paul)|~generous(paul)))<=>((~generous(alice)|~tall(alice))))&
((~patient(lucy))=>((kind(fred)<~>tall(fred))))&
((?[X]:((~humble(X)&~creative(X))))<=>(tall(alice)))&
((?[X]:((strong(X)&~tall(X))))<=>(?[X]:(creative(X))))&
(![X]:((quiet(X)<~>~old(X))<=>bra... | ~patient(mary) | [] | null | 0 |
If someone is not wise or not tall then someone is not calm and vice versa. If someone is generous or not patient then alice is either not happy or humble and vice versa. If fred is either not old or not tall then fred is not creative and vice versa. Everyone who is funny is both not generous and not happy. Everyone wh... | Susan is creative. | entailment | ((?[X]:((~wise(X)|~tall(X))))<=>(?[X]:(~calm(X))))&
((?[X]:((generous(X)|~patient(X))))<=>((~happy(alice)<~>humble(alice))))&
(((~old(fred)<~>~tall(fred)))<=>(~creative(fred)))&
(![X]:(funny(X)=>(~generous(X)&~happy(X))))&
(![X]:((~quiet(X)|~rich(X))<=>~old(X)))&
(![X]:(~quiet(X)=>strong(X)))&
(![X]:((generous(X)<~>~wi... | creative(susan) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3041899801976692261211808
% SZS output start Proof for 3041899801976692261211808
8. ! [X0] : ((quiet(X0) | curious(X0)) => (creative(X0) & old(X0))) [input p7]
13. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> wise(X0)) [input p12]
18. ~creative(susan) [input hypothesis]
23. ! [X0] : (quiet(X0) ... | 0 |
Everyone who is either not old or not funny is patient and vice versa.
Everyone who is not old is not rich or not brave.
Everyone who is both not tall and rich is both rich and not tall and vice versa.
Everyone who is both strong and curious is both not brave and quiet.
Everyone who is both brave and creative is either... | Lucy is humble. | neutral | (![X]:((~old(X)<~>~funny(X))<=>patient(X)))&
(![X]:(~old(X)=>(~rich(X)|~brave(X))))&
(![X]:((~tall(X)&rich(X))<=>(rich(X)&~tall(X))))&
(![X]:((strong(X)&curious(X))=>(~brave(X)&quiet(X))))&
(![X]:((brave(X)&creative(X))<=>(brave(X)<~>patient(X))))&
(![X]:((kind(X)|~kind(X))<=>~funny(X)))&
(![X]:((kind(X)|~quiet(X))=>(~... | humble(lucy) | [] | null | 0 |
If someone is either not kind or not curious then someone is tall or happy and vice versa. Everyone who is strong or not generous is both not old and not happy. Everyone who is not patient or quiet is not wise or generous and vice versa. If susan is both not calm and creative then alice is not old or not kind and vice ... | Lucy is strong. | neutral | ((?[X]:((~kind(X)<~>~curious(X))))<=>(?[X]:((tall(X)|happy(X)))))&
(![X]:((strong(X)|~generous(X))=>(~old(X)&~happy(X))))&
(![X]:((~patient(X)|quiet(X))<=>(~wise(X)|generous(X))))&
(((~calm(susan)&creative(susan)))<=>((~old(alice)|~kind(alice))))&
(((creative(lucy)|~wise(lucy)))=>(?[X]:((~strong(X)<~>happy(X)))))&
(![X... | strong(lucy) | [] | null | 0 |
Everyone who is generous or not generous is both creative and not rich and vice versa.
If alice is either not humble or creative then fred is both curious and patient.
Everyone who is either not kind or strong is both happy and not calm.
Everyone who is both not funny and not curious is both tall and rich and vice vers... | John is rich. | contradiction | (![X]:((generous(X)|~generous(X))<=>(creative(X)&~rich(X))))&
(((~humble(alice)<~>creative(alice)))=>((curious(fred)&patient(fred))))&
(![X]:((~kind(X)<~>strong(X))=>(happy(X)&~calm(X))))&
(![X]:((~funny(X)&~curious(X))<=>(tall(X)&rich(X))))&
((?[X]:((quiet(X)|~patient(X))))<=>((~curious(alice)&~tall(alice))))&
(![X]:(... | rich(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 2995693545399523171219337
% SZS output start Proof for 2995693545399523171219337
1. ! [X0] : ((~generous(X0) | generous(X0)) <=> (~rich(X0) & creative(X0))) [input p0]
25. rich(john) [input hypothesis]
39. ! [X0] : (((~generous(X0) | generous(X0)) | (rich(X0) | ~creative(X0))) & ((~rich(X... | 0 |
If mary is kind or calm then someone is both not quiet and curious and vice versa.
If someone is curious or calm then john is both not funny and not tall.
Everyone who is either not kind or not tall is either not humble or not brave.
If someone is either not happy or old then someone is not wise.
If alice is both not c... | Alice is calm. | contradiction | (((kind(mary)|calm(mary)))<=>(?[X]:((~quiet(X)&curious(X)))))&
((?[X]:((curious(X)|calm(X))))=>((~funny(john)&~tall(john))))&
(![X]:((~kind(X)<~>~tall(X))=>(~humble(X)<~>~brave(X))))&
((?[X]:((~happy(X)<~>old(X))))=>(?[X]:(~wise(X))))&
(((~curious(alice)&~calm(alice)))=>(?[X]:((rich(X)<~>strong(X)))))&
(![X]:(~happy(X)... | calm(alice) | [
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3716591791283083744936385
% SZS output start Proof for 3716591791283083744936385
7. ! [X0] : ((~calm(X0) | creative(X0)) <=> (~strong(X0) | ~old(X0))) [input p6]
10. ! [X0] : (calm(X0) => (~brave(X0) & rich(X0))) [input p9]
11. ! [X0] : (rich(X0) => (~strong(X0) & ~creative(X0))) [input p... | 0 |
Everyone who is not creative or brave is not happy or not strong.
Everyone who is either patient or not generous is not calm.
Everyone who is not strong is both not quiet and not brave.
If someone is tall or old then paul is not funny or happy and vice versa.
Everyone who is either not brave or creative is calm.
If pau... | Paul is generous. | contradiction | (![X]:((~creative(X)|brave(X))=>(~happy(X)|~strong(X))))&
(![X]:((patient(X)<~>~generous(X))=>~calm(X)))&
(![X]:(~strong(X)=>(~quiet(X)&~brave(X))))&
((?[X]:((tall(X)|old(X))))<=>((~funny(paul)|happy(paul))))&
(![X]:((~brave(X)<~>creative(X))=>calm(X)))&
(((strong(paul)<~>brave(paul)))<=>(~brave(lucy)))&
(((wise(susan)... | generous(paul) | [
"p8",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 258080804903727299587422
% SZS output start Proof for 258080804903727299587422
9. ! [X0] : ((quiet(X0) & ~patient(X0)) <=> generous(X0)) [input p8]
13. ! [X0] : ((funny(X0) <~> ~funny(X0)) <=> ~kind(X0)) [input p12]
18. kind(paul) | patient(paul) [input p17]
24. generous(paul) [input hypo... | 0 |
Everyone who is both not rich and not generous is both not kind and wise and vice versa. If someone is happy then paul is both happy and not patient. If someone is both not patient and not curious then lucy is both not brave and quiet and vice versa. Everyone who is either wise or brave is not humble or brave and vice ... | Paul is not rich. | contradiction | (![X]:((~rich(X)&~generous(X))<=>(~kind(X)&wise(X))))&
((?[X]:(happy(X)))=>((happy(paul)&~patient(paul))))&
((?[X]:((~patient(X)&~curious(X))))<=>((~brave(lucy)&quiet(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~humble(X)|brave(X))))&
(![X]:((curious(X)&humble(X))=>(~happy(X)&brave(X))))&
(![X]:((~humble(X)&~happy(X))<=>~... | ~rich(paul) | [
"p1",
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3342502903317437560229036
% SZS output start Proof for 3342502903317437560229036
2. ? [X0] : happy(X0) => (~patient(paul) & happy(paul)) [input p1]
6. ! [X0] : ((~happy(X0) & ~humble(X0)) <=> ~brave(X0)) [input p5]
11. ! [X0] : (curious(X0) <=> ~kind(X0)) [input p10]
13. ! [X0] : ((~happy... | 0 |
Everyone who is not tall or kind is both not calm and not creative and vice versa. If someone is both not quiet and not old then someone is not strong and vice versa. If alice is both kind and not generous then someone is either wise or old. Everyone who is patient or strong is both quiet and kind and vice versa. Every... | Lucy is rich. | neutral | (![X]:((~tall(X)|kind(X))<=>(~calm(X)&~creative(X))))&
((?[X]:((~quiet(X)&~old(X))))<=>(?[X]:(~strong(X))))&
(((kind(alice)&~generous(alice)))=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((patient(X)|strong(X))<=>(quiet(X)&kind(X))))&
(![X]:((happy(X)<~>old(X))=>generous(X)))&
(![X]:((~tall(X)|~quiet(X))=>kind(X)))&
((rich(fr... | rich(lucy) | [] | null | 0 |
Everyone who is either not rich or funny is both not curious and kind.
If someone is either happy or curious then mary is both not rich and old and vice versa.
If someone is both strong and not tall then someone is patient.
Everyone who is either not rich or funny is not curious or tall.
Everyone who is patient is not ... | Mary is not rich. | entailment | (![X]:((~rich(X)<~>funny(X))=>(~curious(X)&kind(X))))&
((?[X]:((happy(X)<~>curious(X))))<=>((~rich(mary)&old(mary))))&
((?[X]:((strong(X)&~tall(X))))=>(?[X]:(patient(X))))&
(![X]:((~rich(X)<~>funny(X))=>(~curious(X)|tall(X))))&
(![X]:(patient(X)<=>~happy(X)))&
(((~old(paul)<~>kind(paul)))=>(?[X]:((~rich(X)|~curious(X))... | ~rich(mary) | [
"p1",
"p4",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 136361561960306814475889
% SZS output start Proof for 136361561960306814475889
2. ? [X0] : (happy(X0) <~> curious(X0)) <=> (old(mary) & ~rich(mary)) [input p1]
5. ! [X0] : (patient(X0) <=> ~happy(X0)) [input p4]
10. (~patient(mary) | funny(mary)) <=> (~curious(paul) | brave(paul)) [input ... | 0 |
If someone is quiet or not creative then someone is brave and vice versa. Everyone who is quiet is either not kind or humble and vice versa. Everyone who is not wise is strong or not strong. Everyone who is not quiet is either not wise or quiet. Everyone who is rich is calm or funny and vice versa. If mary is either no... | Mary is wise. | neutral | ((?[X]:((quiet(X)|~creative(X))))<=>(?[X]:(brave(X))))&
(![X]:(quiet(X)<=>(~kind(X)<~>humble(X))))&
(![X]:(~wise(X)=>(strong(X)|~strong(X))))&
(![X]:(~quiet(X)=>(~wise(X)<~>quiet(X))))&
(![X]:(rich(X)<=>(calm(X)|funny(X))))&
(((~creative(mary)<~>happy(mary)))<=>(?[X]:((happy(X)|humble(X)))))&
(![X]:((kind(X)|creative(X... | wise(mary) | [] | null | 0 |
Everyone who is not kind is either tall or not funny.
If someone is both creative and patient then someone is either funny or strong.
Everyone who is rich or not calm is either wise or brave and vice versa.
If paul is not tall or not strong then lucy is rich and vice versa.
Everyone who is either not strong or rich is ... | Susan is not humble. | neutral | (![X]:(~kind(X)=>(tall(X)<~>~funny(X))))&
((?[X]:((creative(X)&patient(X))))=>(?[X]:((funny(X)<~>strong(X)))))&
(![X]:((rich(X)|~calm(X))<=>(wise(X)<~>brave(X))))&
(((~tall(paul)|~strong(paul)))<=>(rich(lucy)))&
(![X]:((~strong(X)<~>rich(X))=>(~patient(X)|~generous(X))))&
(((~old(lucy)&generous(lucy)))<=>(?[X]:((tall(X... | ~humble(susan) | [] | null | 0 |
If someone is either calm or quiet then john is old.
If mary is both creative and not brave then someone is both not wise and funny.
Everyone who is either not tall or not calm is both quiet and not calm and vice versa.
Everyone who is brave is either not creative or kind.
Everyone who is both funny and not rich is eit... | Paul is calm. | contradiction | ((?[X]:((calm(X)<~>quiet(X))))=>(old(john)))&
(((creative(mary)&~brave(mary)))=>(?[X]:((~wise(X)&funny(X)))))&
(![X]:((~tall(X)<~>~calm(X))<=>(quiet(X)&~calm(X))))&
(![X]:(brave(X)=>(~creative(X)<~>kind(X))))&
(![X]:((funny(X)&~rich(X))=>(~funny(X)<~>strong(X))))&
(((brave(john)|funny(john)))=>(?[X]:((~rich(X)&happy(X)... | calm(paul) | [
"p2",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5637989030483143940420324
% SZS output start Proof for 5637989030483143940420324
3. ! [X0] : ((~tall(X0) <~> ~calm(X0)) <=> (~calm(X0) & quiet(X0))) [input p2]
15. ! [X0] : ((tall(X0) | creative(X0)) <=> ~old(X0)) [input p14]
21. old(paul) [input p20]
25. calm(paul) [input hypothesis]
45.... | 0 |
If someone is funny then paul is both brave and not quiet.
If john is creative or not rich then fred is either not quiet or quiet and vice versa.
If someone is both not creative and happy then fred is either generous or not curious and vice versa.
Everyone who is either patient or not old is either not kind or not brav... | Fred is calm. | neutral | ((?[X]:(funny(X)))=>((brave(paul)&~quiet(paul))))&
(((creative(john)|~rich(john)))<=>((~quiet(fred)<~>quiet(fred))))&
((?[X]:((~creative(X)&happy(X))))<=>((generous(fred)<~>~curious(fred))))&
(![X]:((patient(X)<~>~old(X))<=>(~kind(X)<~>~brave(X))))&
((?[X]:(generous(X)))<=>(funny(mary)))&
((?[X]:(~kind(X)))<=>(?[X]:((~... | calm(fred) | [] | null | 0 |
Everyone who is tall or not happy is generous or kind.
Everyone who is creative or not funny is both generous and not generous and vice versa.
Everyone who is both patient and not funny is either not humble or creative.
Everyone who is either not calm or not brave is rich or not strong and vice versa.
Everyone who is c... | Paul is tall. | neutral | (![X]:((tall(X)|~happy(X))=>(generous(X)|kind(X))))&
(![X]:((creative(X)|~funny(X))<=>(generous(X)&~generous(X))))&
(![X]:((patient(X)&~funny(X))=>(~humble(X)<~>creative(X))))&
(![X]:((~calm(X)<~>~brave(X))<=>(rich(X)|~strong(X))))&
(![X]:((creative(X)|~curious(X))=>quiet(X)))&
((?[X]:(~happy(X)))<=>(?[X]:((~rich(X)|wi... | tall(paul) | [] | null | 0 |
If alice is either tall or not happy then paul is either not humble or kind and vice versa. If someone is both humble and old then fred is not rich or not creative. If someone is not creative then someone is either strong or not kind. If paul is quiet or not humble then fred is not happy and vice versa. If susan is ric... | Paul is not wise. | neutral | (((tall(alice)<~>~happy(alice)))<=>((~humble(paul)<~>kind(paul))))&
((?[X]:((humble(X)&old(X))))=>((~rich(fred)|~creative(fred))))&
((?[X]:(~creative(X)))=>(?[X]:((strong(X)<~>~kind(X)))))&
(((quiet(paul)|~humble(paul)))<=>(~happy(fred)))&
(((rich(susan)|~brave(susan)))=>(rich(mary)))&
(![X]:(creative(X)<=>(~brave(X)<~... | ~wise(paul) | [] | null | 0 |
If someone is either humble or not creative then someone is either funny or quiet.
Everyone who is not wise is both not humble and generous.
Everyone who is happy or not creative is either not curious or not generous.
Everyone who is happy or not humble is either not generous or wise.
If susan is not wise then susan is... | Susan is curious. | contradiction | ((?[X]:((humble(X)<~>~creative(X))))=>(?[X]:((funny(X)<~>quiet(X)))))&
(![X]:(~wise(X)=>(~humble(X)&generous(X))))&
(![X]:((happy(X)|~creative(X))=>(~curious(X)<~>~generous(X))))&
(![X]:((happy(X)|~humble(X))=>(~generous(X)<~>wise(X))))&
((~wise(susan))=>((~quiet(susan)<~>humble(susan))))&
((?[X]:(~patient(X)))<=>(happ... | curious(susan) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 712060142853212871557248
% SZS output start Proof for 712060142853212871557248
2. ! [X0] : (~wise(X0) => (generous(X0) & ~humble(X0))) [input p1]
3. ! [X0] : ((~creative(X0) | happy(X0)) => (~curious(X0) <~> ~generous(X0))) [input p2]
4. ! [X0] : ((~humble(X0) | happy(X0)) => (~generous(X... | 0 |
Everyone who is tall is not happy and vice versa.
If mary is both wise and not calm then someone is strong or not funny and vice versa.
Everyone who is either curious or not patient is funny or humble and vice versa.
Everyone who is not calm is both curious and not patient.
Everyone who is either not patient or rich is... | Paul is curious. | contradiction | (![X]:(tall(X)<=>~happy(X)))&
(((wise(mary)&~calm(mary)))<=>(?[X]:((strong(X)|~funny(X)))))&
(![X]:((curious(X)<~>~patient(X))<=>(funny(X)|humble(X))))&
(![X]:(~calm(X)=>(curious(X)&~patient(X))))&
(![X]:((~patient(X)<~>rich(X))<=>(~creative(X)&brave(X))))&
((?[X]:((tall(X)<~>calm(X))))=>(?[X]:((tall(X)|humble(X)))))&
... | curious(paul) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6353184762072331965139760
% SZS output start Proof for 6353184762072331965139760
10. ! [X0] : (kind(X0) <=> (~kind(X0) <~> ~curious(X0))) [input p9]
23. curious(paul) [input hypothesis]
58. ! [X0] : ((kind(X0) | ((~kind(X0) | curious(X0)) & (~curious(X0) | kind(X0)))) & (((curious(X0) | k... | 0 |
Everyone who is wise or not tall is not quiet or funny and vice versa. Everyone who is either not patient or brave is either not strong or calm and vice versa. Everyone who is brave is not funny. Everyone who is either not strong or not calm is patient or not brave and vice versa. Everyone who is not wise is not patien... | Mary is brave. | contradiction | (![X]:((wise(X)|~tall(X))<=>(~quiet(X)|funny(X))))&
(![X]:((~patient(X)<~>brave(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(brave(X)=>~funny(X)))&
(![X]:((~strong(X)<~>~calm(X))<=>(patient(X)|~brave(X))))&
(![X]:(~wise(X)<=>(~patient(X)|~calm(X))))&
(![X]:((~brave(X)<~>~funny(X))=>(~strong(X)<~>rich(X))))&
(((~humble(fred)&... | brave(mary) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 153987921331045397235077
% SZS output start Proof for 153987921331045397235077
2. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~strong(X0) <~> calm(X0))) [input p1]
3. ! [X0] : (brave(X0) => ~funny(X0)) [input p2]
4. ! [X0] : ((~strong(X0) <~> ~calm(X0)) <=> (~brave(X0) | patient(X0))) [in... | 0 |
Everyone who is either quiet or not patient is calm or not generous and vice versa.
Everyone who is not funny is either not old or not kind and vice versa.
If fred is not kind or not happy then someone is not calm and vice versa.
Everyone who is either old or rich is not brave or not kind and vice versa.
If someone is ... | Fred is not creative. | contradiction | (![X]:((quiet(X)<~>~patient(X))<=>(calm(X)|~generous(X))))&
(![X]:(~funny(X)<=>(~old(X)<~>~kind(X))))&
(((~kind(fred)|~happy(fred)))<=>(?[X]:(~calm(X))))&
(![X]:((old(X)<~>rich(X))<=>(~brave(X)|~kind(X))))&
((?[X]:(~tall(X)))=>(~strong(paul)))&
(![X]:(~brave(X)<=>(curious(X)|~strong(X))))&
(![X]:((~humble(X)&~strong(X)... | ~creative(fred) | [
"p1",
"p3",
"p5",
"p6",
"p9",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 255315129389532024942978
% SZS output start Proof for 255315129389532024942978
2. ! [X0] : (~funny(X0) <=> (~old(X0) <~> ~kind(X0))) [input p1]
4. ! [X0] : ((old(X0) <~> rich(X0)) <=> (~kind(X0) | ~brave(X0))) [input p3]
6. ! [X0] : (~brave(X0) <=> (~strong(X0) | curious(X0))) [input p5]
... | 0 |
Everyone who is either not kind or not calm is not kind or brave. Everyone who is quiet is not brave or not kind. Everyone who is not rich is tall. If mary is curious or kind then fred is both not curious and rich and vice versa. If someone is both calm and not strong then someone is either generous or funny and vice v... | Alice is funny. | entailment | (![X]:((~kind(X)<~>~calm(X))=>(~kind(X)|brave(X))))&
(![X]:(quiet(X)=>(~brave(X)|~kind(X))))&
(![X]:(~rich(X)=>tall(X)))&
(((curious(mary)|kind(mary)))<=>((~curious(fred)&rich(fred))))&
((?[X]:((calm(X)&~strong(X))))<=>(?[X]:((generous(X)<~>funny(X)))))&
(![X]:((~patient(X)&happy(X))<=>(~brave(X)|brave(X))))&
(![X]:((~... | funny(alice) | [
"p2",
"p6",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7688513413773473262867260
% SZS output start Proof for 7688513413773473262867260
3. ! [X0] : (~rich(X0) => tall(X0)) [input p2]
7. ! [X0] : ((rich(X0) | ~strong(X0)) <=> (funny(X0) & generous(X0))) [input p6]
15. ! [X0] : ((~wise(X0) | humble(X0)) <=> (rich(X0) & brave(X0))) [input p14]
2... | 0 |
If mary is not patient or not happy then someone is both not brave and not patient. Everyone who is generous is both not generous and not happy. If alice is curious or not old then susan is either curious or not brave and vice versa. Everyone who is not humble is old or curious. If someone is either not generous or not... | Lucy is not tall. | neutral | (((~patient(mary)|~happy(mary)))=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:(generous(X)=>(~generous(X)&~happy(X))))&
(((curious(alice)|~old(alice)))<=>((curious(susan)<~>~brave(susan))))&
(![X]:(~humble(X)=>(old(X)|curious(X))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>((quiet(susan)|~curious(susan))))&
(((~calm(fred)&~... | ~tall(lucy) | [] | null | 0 |
If someone is old or quiet then fred is both generous and funny and vice versa.
Everyone who is not generous or not happy is quiet.
If someone is both curious and brave then john is not wise and vice versa.
If someone is either old or curious then mary is either quiet or not rich and vice versa.
If someone is both funn... | Fred is not generous. | contradiction | ((?[X]:((old(X)|quiet(X))))<=>((generous(fred)&funny(fred))))&
(![X]:((~generous(X)|~happy(X))=>quiet(X)))&
((?[X]:((curious(X)&brave(X))))<=>(~wise(john)))&
((?[X]:((old(X)<~>curious(X))))<=>((quiet(mary)<~>~rich(mary))))&
((?[X]:((funny(X)&~wise(X))))<=>(?[X]:((tall(X)&~happy(X)))))&
(![X]:((patient(X)<~>creative(X))... | ~generous(fred) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 296601354481849023695660
% SZS output start Proof for 296601354481849023695660
1. ? [X0] : (quiet(X0) | old(X0)) <=> (funny(fred) & generous(fred)) [input p0]
2. ! [X0] : ((~happy(X0) | ~generous(X0)) => quiet(X0)) [input p1]
24. ~generous(fred) [input hypothesis]
28. ! [X0] : (quiet(X0) ... | 0 |
If paul is not rich then john is both kind and calm.
Everyone who is patient or kind is not creative and vice versa.
Everyone who is not generous is either humble or wise and vice versa.
If someone is not curious then john is both not kind and kind.
Everyone who is either not quiet or not calm is not strong or not calm... | Mary is not wise. | entailment | ((~rich(paul))=>((kind(john)&calm(john))))&
(![X]:((patient(X)|kind(X))<=>~creative(X)))&
(![X]:(~generous(X)<=>(humble(X)<~>wise(X))))&
((?[X]:(~curious(X)))=>((~kind(john)&kind(john))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~strong(X)|~calm(X))))&
(![X]:(creative(X)<=>(~quiet(X)|kind(X))))&
((?[X]:(kind(X)))=>(?[X]:(tall... | ~wise(mary) | [
"p1",
"p5",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8703485990666697994991485
% SZS output start Proof for 8703485990666697994991485
2. ! [X0] : ((kind(X0) | patient(X0)) <=> ~creative(X0)) [input p1]
6. ! [X0] : (creative(X0) <=> (kind(X0) | ~quiet(X0))) [input p5]
14. ! [X0] : ((wise(X0) <~> ~quiet(X0)) => ~quiet(X0)) [input p13]
19. pat... | 0 |
Everyone who is both funny and not patient is not calm.
If someone is either curious or not brave then fred is creative or not funny.
If someone is not kind then fred is curious or quiet and vice versa.
Everyone who is not happy is both brave and funny and vice versa.
If someone is generous then fred is not tall or not... | Fred is not creative. | neutral | (![X]:((funny(X)&~patient(X))=>~calm(X)))&
((?[X]:((curious(X)<~>~brave(X))))=>((creative(fred)|~funny(fred))))&
((?[X]:(~kind(X)))<=>((curious(fred)|quiet(fred))))&
(![X]:(~happy(X)<=>(brave(X)&funny(X))))&
((?[X]:(generous(X)))=>((~tall(fred)|~rich(fred))))&
(![X]:((~curious(X)|strong(X))<=>(~kind(X)<~>~rich(X))))&
(... | ~creative(fred) | [] | null | 0 |
If lucy is either not calm or wise then mary is strong or wise.
Everyone who is both funny and not creative is not happy or wise and vice versa.
If mary is both tall and not quiet then someone is either curious or not happy.
If john is not tall or tall then someone is kind and vice versa.
If lucy is generous or quiet t... | Fred is generous. | contradiction | (((~calm(lucy)<~>wise(lucy)))=>((strong(mary)|wise(mary))))&
(![X]:((funny(X)&~creative(X))<=>(~happy(X)|wise(X))))&
(((tall(mary)&~quiet(mary)))=>(?[X]:((curious(X)<~>~happy(X)))))&
(((~tall(john)|tall(john)))<=>(?[X]:(kind(X))))&
(((generous(lucy)|quiet(lucy)))<=>(?[X]:((humble(X)&~calm(X)))))&
(((calm(alice)&~quiet(... | generous(fred) | [
"p1",
"p6",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 618700717143473532267849
% SZS output start Proof for 618700717143473532267849
2. ! [X0] : ((~creative(X0) & funny(X0)) <=> (wise(X0) | ~happy(X0))) [input p1]
7. ! [X0] : ((quiet(X0) | generous(X0)) <=> (humble(X0) & ~calm(X0))) [input p6]
9. ! [X0] : ((tall(X0) | ~rich(X0)) <=> (creativ... | 0 |
Everyone who is not curious is happy or not humble. If someone is both not funny and not creative then john is both not generous and not old. Everyone who is either strong or not happy is calm and vice versa. If someone is both curious and not kind then fred is creative. Everyone who is calm is kind and vice versa. Eve... | Mary is generous. | neutral | (![X]:(~curious(X)=>(happy(X)|~humble(X))))&
((?[X]:((~funny(X)&~creative(X))))=>((~generous(john)&~old(john))))&
(![X]:((strong(X)<~>~happy(X))<=>calm(X)))&
((?[X]:((curious(X)&~kind(X))))=>(creative(fred)))&
(![X]:(calm(X)<=>kind(X)))&
(![X]:(~quiet(X)=>(calm(X)&~calm(X))))&
(![X]:(~patient(X)<=>(creative(X)|brave(X)... | generous(mary) | [] | null | 0 |
If paul is either not calm or curious then someone is both not old and not brave and vice versa.
If someone is both not wise and rich then paul is either not generous or quiet.
If alice is not happy then someone is either curious or not brave and vice versa.
If someone is both old and not kind then someone is not curio... | Alice is creative. | entailment | (((~calm(paul)<~>curious(paul)))<=>(?[X]:((~old(X)&~brave(X)))))&
((?[X]:((~wise(X)&rich(X))))=>((~generous(paul)<~>quiet(paul))))&
((~happy(alice))<=>(?[X]:((curious(X)<~>~brave(X)))))&
((?[X]:((old(X)&~kind(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:(~wi... | creative(alice) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6508465726178724261229774
% SZS output start Proof for 6508465726178724261229774
6. ! [X0] : (~wise(X0) <=> (~creative(X0) | quiet(X0))) [input p5]
9. ! [X0] : (wise(X0) <=> (wise(X0) <~> ~wise(X0))) [input p8]
25. ~creative(alice) [input hypothesis]
52. ! [X0] : ((~wise(X0) | (creative(X... | 0 |
If mary is not old or wise then someone is both tall and not calm and vice versa.
Everyone who is not strong is not quiet.
Everyone who is not old is generous.
If susan is rich then someone is both curious and not kind.
If lucy is both curious and not funny then susan is either not generous or happy.
Everyone who is no... | Mary is not calm. | entailment | (((~old(mary)|wise(mary)))<=>(?[X]:((tall(X)&~calm(X)))))&
(![X]:(~strong(X)=>~quiet(X)))&
(![X]:(~old(X)=>generous(X)))&
((rich(susan))=>(?[X]:((curious(X)&~kind(X)))))&
(((curious(lucy)&~funny(lucy)))=>((~generous(susan)<~>happy(susan))))&
(![X]:((~tall(X)|kind(X))=>(~calm(X)&quiet(X))))&
((?[X]:((old(X)&creative(X))... | ~calm(mary) | [
"p5",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4653931836386377277401349
% SZS output start Proof for 4653931836386377277401349
6. ! [X0] : ((kind(X0) | ~tall(X0)) => (quiet(X0) & ~calm(X0))) [input p5]
8. ! [X0] : (tall(X0) => ~quiet(X0)) [input p7]
15. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> rich(X0)) [input p14]
23. calm(mary) [inpu... | 0 |
Everyone who is curious or patient is quiet or humble.
Everyone who is rich is both not calm and not generous and vice versa.
If john is not funny or tall then susan is both not humble and happy and vice versa.
Everyone who is both strong and creative is both quiet and not happy.
Everyone who is strong is brave.
Everyo... | Susan is creative. | neutral | (![X]:((curious(X)|patient(X))=>(quiet(X)|humble(X))))&
(![X]:(rich(X)<=>(~calm(X)&~generous(X))))&
(((~funny(john)|tall(john)))<=>((~humble(susan)&happy(susan))))&
(![X]:((strong(X)&creative(X))=>(quiet(X)&~happy(X))))&
(![X]:(strong(X)=>brave(X)))&
(![X]:(tall(X)<=>(~brave(X)&old(X))))&
(![X]:((creative(X)<~>~wise(X)... | creative(susan) | [] | null | 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... | Paul is not kind. | 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... | ~kind(paul) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6614855054416453211726030
% SZS output start Proof for 6614855054416453211726030
1. ! [X0] : ((~patient(X0) | quiet(X0)) => creative(X0)) [input p0]
2. ~patient(john) <=> ? [X0] : (~kind(X0) & wise(X0)) [input p1]
5. ! [X0] : ((~rich(X0) | strong(X0)) => (~patient(X0) & creative(X0))) [in... | 0 |
If someone is both calm and brave then someone is both calm and not strong and vice versa.
If paul is either happy or calm then fred is both patient and not quiet.
Everyone who is either rich or not rich is not creative and vice versa.
If someone is either calm or old then someone is not generous.
Everyone who is eithe... | Mary is patient. | neutral | ((?[X]:((calm(X)&brave(X))))<=>(?[X]:((calm(X)&~strong(X)))))&
(((happy(paul)<~>calm(paul)))=>((patient(fred)&~quiet(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>~creative(X)))&
((?[X]:((calm(X)<~>old(X))))=>(?[X]:(~generous(X))))&
(![X]:((~patient(X)<~>~calm(X))=>~old(X)))&
(![X]:((~funny(X)&calm(X))=>~creative(X)))&
(![X]... | patient(mary) | [] | null | 0 |
If mary is humble or quiet then john is either curious or wise and vice versa.
Everyone who is either curious or not curious is either patient or curious.
If someone is humble then someone is both creative and old and vice versa.
If fred is kind then susan is not calm.
Everyone who is not generous or not kind is quiet ... | Fred is not kind. | entailment | (((humble(mary)|quiet(mary)))<=>((curious(john)<~>wise(john))))&
(![X]:((curious(X)<~>~curious(X))=>(patient(X)<~>curious(X))))&
((?[X]:(humble(X)))<=>(?[X]:((creative(X)&old(X)))))&
((kind(fred))=>(~calm(susan)))&
(![X]:((~generous(X)|~kind(X))<=>(quiet(X)|~curious(X))))&
(((happy(john)<~>tall(john)))=>(~funny(lucy)))... | ~kind(fred) | [
"p1",
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5274296647021606778219314
% SZS output start Proof for 5274296647021606778219314
2. ! [X0] : ((curious(X0) <~> ~curious(X0)) => (patient(X0) <~> curious(X0))) [input p1]
4. kind(fred) => ~calm(susan) [input p3]
9. ! [X0] : (~brave(X0) <=> (~patient(X0) | wise(X0))) [input p8]
14. ? [X0] :... | 0 |
If someone is either not calm or rich then alice is both not curious and not kind and vice versa. If someone is not brave or not quiet then someone is either wise or not calm. If john is either not humble or not wise then someone is creative or not rich and vice versa. If paul is quiet or generous then someone is not c... | John is patient. | contradiction | ((?[X]:((~calm(X)<~>rich(X))))<=>((~curious(alice)&~kind(alice))))&
((?[X]:((~brave(X)|~quiet(X))))=>(?[X]:((wise(X)<~>~calm(X)))))&
(((~humble(john)<~>~wise(john)))<=>(?[X]:((creative(X)|~rich(X)))))&
(((quiet(paul)|generous(paul)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:((~quiet(X)|old(X))=>(curious(X)&happy(X))))&
((... | patient(john) | [
"p2",
"p4",
"p6",
"p8",
"p11",
"p12",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6864947257072837587242311
% SZS output start Proof for 6864947257072837587242311
3. (~humble(john) <~> ~wise(john)) <=> ? [X0] : (~rich(X0) | creative(X0)) [input p2]
5. ! [X0] : ((old(X0) | ~quiet(X0)) => (happy(X0) & curious(X0))) [input p4]
7. ~humble(john) => (~rich(lucy) & ~kind(lucy... | 0 |
Everyone who is either not kind or not happy is either funny or not generous and vice versa.
Everyone who is not curious is either not old or not rich and vice versa.
Everyone who is creative or not tall is either old or funny.
If someone is not old or kind then susan is both not curious and not creative and vice versa... | Mary is not brave. | contradiction | (![X]:((~kind(X)<~>~happy(X))<=>(funny(X)<~>~generous(X))))&
(![X]:(~curious(X)<=>(~old(X)<~>~rich(X))))&
(![X]:((creative(X)|~tall(X))=>(old(X)<~>funny(X))))&
((?[X]:((~old(X)|kind(X))))<=>((~curious(susan)&~creative(susan))))&
((?[X]:(~patient(X)))<=>(?[X]:((~brave(X)&wise(X)))))&
(![X]:((~funny(X)&generous(X))<=>(ol... | ~brave(mary) | [
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 111462074851987225971137
% SZS output start Proof for 111462074851987225971137
9. ! [X0] : ((~wise(X0) & wise(X0)) <=> (humble(X0) | happy(X0))) [input p8]
11. ! [X0] : ((humble(X0) & kind(X0)) <=> (patient(X0) <~> brave(X0))) [input p10]
17. patient(mary) & ~wise(mary) [input p16]
23. ~b... | 0 |
Everyone who is both not wise and not patient is both not brave and not quiet.
If alice is either not happy or rich then mary is either funny or not old and vice versa.
If susan is both tall and calm then paul is curious and vice versa.
Everyone who is either not wise or not humble is either wise or not old.
Everyone w... | Paul is funny. | entailment | (![X]:((~wise(X)&~patient(X))=>(~brave(X)&~quiet(X))))&
(((~happy(alice)<~>rich(alice)))<=>((funny(mary)<~>~old(mary))))&
(((tall(susan)&calm(susan)))<=>(curious(paul)))&
(![X]:((~wise(X)<~>~humble(X))=>(wise(X)<~>~old(X))))&
(![X]:(~old(X)=>wise(X)))&
(![X]:((~quiet(X)<~>~happy(X))<=>brave(X)))&
(((~patient(susan)&qui... | funny(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1637591630856340624184666
% SZS output start Proof for 1637591630856340624184666
20. funny(paul) & quiet(paul) [input p19]
25. ~funny(paul) [input hypothesis]
140. funny(paul) [cnf transformation 20]
145. ~funny(paul) [cnf transformation 25]
353. $false [subsumption resolution 145,140]
% ... | 0 |
Everyone who is either kind or not quiet is patient and vice versa.
Everyone who is not creative or humble is not happy or rich.
If lucy is strong or not old then fred is either not brave or strong.
If lucy is both not generous and rich then someone is not wise or happy.
Everyone who is either not strong or not wise is... | Mary is kind. | neutral | (![X]:((kind(X)<~>~quiet(X))<=>patient(X)))&
(![X]:((~creative(X)|humble(X))=>(~happy(X)|rich(X))))&
(((strong(lucy)|~old(lucy)))=>((~brave(fred)<~>strong(fred))))&
(((~generous(lucy)&rich(lucy)))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:((~strong(X)<~>~wise(X))<=>(~tall(X)&~curious(X))))&
(![X]:((patient(X)|old(X))<=>(ha... | kind(mary) | [] | null | 0 |
Everyone who is not rich is either not old or not curious and vice versa.
If someone is not brave then someone is not curious or happy and vice versa.
Everyone who is not patient is generous or not old and vice versa.
Everyone who is either tall or humble is rich and vice versa.
If someone is tall then someone is rich ... | Susan is not patient. | entailment | (![X]:(~rich(X)<=>(~old(X)<~>~curious(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~curious(X)|happy(X)))))&
(![X]:(~patient(X)<=>(generous(X)|~old(X))))&
(![X]:((tall(X)<~>humble(X))<=>rich(X)))&
((?[X]:(tall(X)))<=>(?[X]:((rich(X)|generous(X)))))&
(![X]:((~funny(X)|quiet(X))=>(tall(X)<~>kind(X))))&
((?[X]:((~generous(X)&~fun... | ~patient(susan) | [
"p2",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 215467371268386667166802
% SZS output start Proof for 215467371268386667166802
3. ! [X0] : (~patient(X0) <=> (~old(X0) | generous(X0))) [input p2]
10. ! [X0] : ((old(X0) & generous(X0)) <=> (~curious(X0) <~> patient(X0))) [input p9]
23. curious(susan) [input p22]
25. patient(susan) [input... | 0 |
If alice is either funny or not strong then lucy is not brave or brave. If fred is not strong or creative then john is either not quiet or kind. Everyone who is brave or tall is tall. Everyone who is both not tall and not patient is either tall or happy. Everyone who is not brave is either old or rich and vice versa. I... | Alice is tall. | entailment | (((funny(alice)<~>~strong(alice)))=>((~brave(lucy)|brave(lucy))))&
(((~strong(fred)|creative(fred)))=>((~quiet(john)<~>kind(john))))&
(![X]:((brave(X)|tall(X))=>tall(X)))&
(![X]:((~tall(X)&~patient(X))=>(tall(X)<~>happy(X))))&
(![X]:(~brave(X)<=>(old(X)<~>rich(X))))&
(((generous(john)&humble(john)))=>(?[X]:((~tall(X)<~... | tall(alice) | [
"p2",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7471427406015390184373107
% SZS output start Proof for 7471427406015390184373107
3. ! [X0] : ((tall(X0) | brave(X0)) => tall(X0)) [input p2]
5. ! [X0] : (~brave(X0) <=> (old(X0) <~> rich(X0))) [input p4]
7. ! [X0] : ((~generous(X0) & tall(X0)) <=> (~rich(X0) | ~old(X0))) [input p6]
25. ~t... | 0 |
Everyone who is both curious and not generous is curious or old and vice versa.
Everyone who is both funny and not curious is both not brave and not calm and vice versa.
Everyone who is brave or patient is both not quiet and quiet and vice versa.
If susan is not strong then someone is both not strong and not patient an... | John is not generous. | neutral | (![X]:((curious(X)&~generous(X))<=>(curious(X)|old(X))))&
(![X]:((funny(X)&~curious(X))<=>(~brave(X)&~calm(X))))&
(![X]:((brave(X)|patient(X))<=>(~quiet(X)&quiet(X))))&
((~strong(susan))<=>(?[X]:((~strong(X)&~patient(X)))))&
(((patient(paul)<~>~happy(paul)))<=>((strong(john)|quiet(john))))&
((?[X]:((~creative(X)|humble... | ~generous(john) | [] | null | 0 |
If susan is both tall and not rich then someone is not humble and vice versa.
Everyone who is either not tall or not rich is not tall.
If john is both not happy and not strong then someone is not patient or not happy and vice versa.
If susan is generous then someone is either not wise or generous and vice versa.
If mar... | Lucy is calm. | contradiction | (((tall(susan)&~rich(susan)))<=>(?[X]:(~humble(X))))&
(![X]:((~tall(X)<~>~rich(X))=>~tall(X)))&
(((~happy(john)&~strong(john)))<=>(?[X]:((~patient(X)|~happy(X)))))&
((generous(susan))<=>(?[X]:((~wise(X)<~>generous(X)))))&
(((~rich(mary)<~>~humble(mary)))<=>(?[X]:((calm(X)|humble(X)))))&
(![X]:((~old(X)|rich(X))=>~creat... | calm(lucy) | [
"p0",
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3999519806084811319998641
% SZS output start Proof for 3999519806084811319998641
1. (~rich(susan) & tall(susan)) <=> ? [X0] : ~humble(X0) [input p0]
2. ! [X0] : ((~tall(X0) <~> ~rich(X0)) => ~tall(X0)) [input p1]
8. ! [X0] : (~calm(X0) <=> (humble(X0) | quiet(X0))) [input p7]
25. calm(luc... | 0 |
Everyone who is not tall is either not happy or not generous. If someone is not wise or not creative then john is not calm or kind. Everyone who is either not brave or not curious is not calm. If someone is not curious or not old then alice is both strong and rich and vice versa. Everyone who is wise or kind is not str... | Fred is curious. | entailment | (![X]:(~tall(X)=>(~happy(X)<~>~generous(X))))&
((?[X]:((~wise(X)|~creative(X))))=>((~calm(john)|kind(john))))&
(![X]:((~brave(X)<~>~curious(X))=>~calm(X)))&
((?[X]:((~curious(X)|~old(X))))<=>((strong(alice)&rich(alice))))&
(![X]:((wise(X)|kind(X))=>~strong(X)))&
(![X]:(~strong(X)=>(~patient(X)&~rich(X))))&
((?[X]:(~wis... | curious(fred) | [
"p3",
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3718513784374710997760397
% SZS output start Proof for 3718513784374710997760397
4. ? [X0] : (~old(X0) | ~curious(X0)) <=> (rich(alice) & strong(alice)) [input p3]
5. ! [X0] : ((kind(X0) | wise(X0)) => ~strong(X0)) [input p4]
10. ! [X0] : ((creative(X0) | ~kind(X0)) => (curious(X0) & wise... | 0 |
Everyone who is both not strong and not tall is either not strong or not quiet and vice versa. If alice is calm or not humble then someone is happy and vice versa. Everyone who is both creative and not calm is either creative or tall. If someone is not wise or tall then paul is both curious and wise and vice versa. Eve... | Mary is curious. | entailment | (![X]:((~strong(X)&~tall(X))<=>(~strong(X)<~>~quiet(X))))&
(((calm(alice)|~humble(alice)))<=>(?[X]:(happy(X))))&
(![X]:((creative(X)&~calm(X))=>(creative(X)<~>tall(X))))&
((?[X]:((~wise(X)|tall(X))))<=>((curious(paul)&wise(paul))))&
(![X]:(curious(X)<=>(~rich(X)|~kind(X))))&
(![X]:((patient(X)&~calm(X))=>(humble(X)|~ta... | curious(mary) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6253796348167964672353547
% SZS output start Proof for 6253796348167964672353547
5. ! [X0] : (curious(X0) <=> (~kind(X0) | ~rich(X0))) [input p4]
11. ? [X0] : (creative(X0) | rich(X0)) <=> (happy(fred) & ~happy(fred)) [input p10]
23. ~curious(mary) [input hypothesis]
47. ! [X0] : ((curiou... | 0 |
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