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 susan is both wise and not tall then alice is either patient or not generous and vice versa. Everyone who is both not happy and not strong is either not curious or not funny. If alice is either tall or not creative then someone is not kind or strong and vice versa. If fred is both happy and not generous then someone... | Alice is quiet. | contradiction | (((wise(susan)&~tall(susan)))<=>((patient(alice)<~>~generous(alice))))&
(![X]:((~happy(X)&~strong(X))=>(~curious(X)<~>~funny(X))))&
(((tall(alice)<~>~creative(alice)))<=>(?[X]:((~kind(X)|strong(X)))))&
(((happy(fred)&~generous(fred)))<=>(?[X]:(~funny(X))))&
(![X]:((humble(X)|generous(X))=>(~humble(X)&funny(X))))&
(![X]... | quiet(alice) | [
"p0",
"p5",
"p9",
"p11",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 552628597290693260916732
% SZS output start Proof for 552628597290693260916732
1. (~tall(susan) & wise(susan)) <=> (patient(alice) <~> ~generous(alice)) [input p0]
6. ! [X0] : ((~brave(X0) | ~patient(X0)) => ~strong(X0)) [input p5]
10. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (~tall(X0) ... | 0 |
If someone is not kind or not wise then fred is not patient or rich and vice versa.
If lucy is quiet or generous then someone is creative and vice versa.
Everyone who is either not happy or old is funny.
If alice is both kind and not patient then john is calm or quiet.
Everyone who is both not wise and quiet is either ... | Alice is strong. | entailment | ((?[X]:((~kind(X)|~wise(X))))<=>((~patient(fred)|rich(fred))))&
(((quiet(lucy)|generous(lucy)))<=>(?[X]:(creative(X))))&
(![X]:((~happy(X)<~>old(X))=>funny(X)))&
(((kind(alice)&~patient(alice)))=>((calm(john)|quiet(john))))&
(![X]:((~wise(X)&quiet(X))=>(~strong(X)<~>strong(X))))&
(![X]:((creative(X)&quiet(X))<=>(old(X)... | strong(alice) | [
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8067624309680118975999533
% SZS output start Proof for 8067624309680118975999533
6. ! [X0] : ((quiet(X0) & creative(X0)) <=> (~strong(X0) | old(X0))) [input p5]
7. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (~curious(X0) <~> ~old(X0))) [input p6]
11. ! [X0] : (~strong(X0) <=> kind(X0)) [in... | 0 |
Everyone who is either not rich or not generous is either not humble or not calm and vice versa.
Everyone who is both not tall and not funny is calm.
Everyone who is either not tall or not funny is brave or not kind and vice versa.
Everyone who is wise or humble is both not strong and not generous and vice versa.
Every... | Alice is creative. | contradiction | (![X]:((~rich(X)<~>~generous(X))<=>(~humble(X)<~>~calm(X))))&
(![X]:((~tall(X)&~funny(X))=>calm(X)))&
(![X]:((~tall(X)<~>~funny(X))<=>(brave(X)|~kind(X))))&
(![X]:((wise(X)|humble(X))<=>(~strong(X)&~generous(X))))&
(![X]:((patient(X)&funny(X))=>(wise(X)|patient(X))))&
(![X]:((kind(X)<~>rich(X))<=>(~creative(X)|~rich(X)... | creative(alice) | [
"p3",
"p5",
"p6",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5337262928931442939938740
% SZS output start Proof for 5337262928931442939938740
4. ! [X0] : ((humble(X0) | wise(X0)) <=> (~generous(X0) & ~strong(X0))) [input p3]
6. ! [X0] : ((kind(X0) <~> rich(X0)) <=> (~rich(X0) | ~creative(X0))) [input p5]
7. ! [X0] : ((generous(X0) <~> wise(X0)) => ... | 0 |
Everyone who is either kind or rich is tall or not strong and vice versa. If someone is not happy or not curious then john is not humble. If someone is not rich then someone is either tall or not wise. Everyone who is either happy or curious is creative and vice versa. Everyone who is both not creative and humble is bo... | Lucy is not tall. | neutral | (![X]:((kind(X)<~>rich(X))<=>(tall(X)|~strong(X))))&
((?[X]:((~happy(X)|~curious(X))))=>(~humble(john)))&
((?[X]:(~rich(X)))=>(?[X]:((tall(X)<~>~wise(X)))))&
(![X]:((happy(X)<~>curious(X))<=>creative(X)))&
(![X]:((~creative(X)&humble(X))<=>(~old(X)&curious(X))))&
((?[X]:((~happy(X)|~kind(X))))=>((generous(john)&~quiet(... | ~tall(lucy) | [] | null | 0 |
Everyone who is creative is either not old or old and vice versa. If someone is either not creative or happy then paul is not rich. Everyone who is not calm or kind is not quiet or not calm and vice versa. Everyone who is either creative or not old is not quiet and vice versa. Everyone who is both not generous and not ... | Alice is not patient. | contradiction | (![X]:(creative(X)<=>(~old(X)<~>old(X))))&
((?[X]:((~creative(X)<~>happy(X))))=>(~rich(paul)))&
(![X]:((~calm(X)|kind(X))<=>(~quiet(X)|~calm(X))))&
(![X]:((creative(X)<~>~old(X))<=>~quiet(X)))&
(![X]:((~generous(X)&~rich(X))=>generous(X)))&
((?[X]:((wise(X)<~>tall(X))))=>((patient(alice)<~>~quiet(alice))))&
(![X]:(pati... | ~patient(alice) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8735634178141837889530616
% SZS output start Proof for 8735634178141837889530616
1. ! [X0] : (creative(X0) <=> (~old(X0) <~> old(X0))) [input p0]
7. ! [X0] : (patient(X0) <=> (~tall(X0) | creative(X0))) [input p6]
23. ~patient(alice) [input hypothesis]
32. ! [X0] : ((creative(X0) | ((~old... | 0 |
Everyone who is either creative or calm is not brave or curious. If someone is either not kind or not rich then alice is either not strong or not patient. If lucy is either not wise or not brave then someone is tall or wise. If someone is either calm or not strong then someone is both not rich and not curious and vice ... | John is not rich. | contradiction | (![X]:((creative(X)<~>calm(X))=>(~brave(X)|curious(X))))&
((?[X]:((~kind(X)<~>~rich(X))))=>((~strong(alice)<~>~patient(alice))))&
(((~wise(lucy)<~>~brave(lucy)))=>(?[X]:((tall(X)|wise(X)))))&
((?[X]:((calm(X)<~>~strong(X))))<=>(?[X]:((~rich(X)&~curious(X)))))&
(![X]:(curious(X)<=>(rich(X)<~>strong(X))))&
(![X]:((~funny... | ~rich(john) | [
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4828962203798392349523835
% SZS output start Proof for 4828962203798392349523835
10. ! [X0] : ((rich(X0) & ~happy(X0)) <=> (old(X0) | funny(X0))) [input p9]
19. old(john) & ~generous(john) [input p18]
25. ~rich(john) [input hypothesis]
66. ! [X0] : (((rich(X0) & ~happy(X0)) | (~old(X0) & ... | 0 |
Everyone who is curious is both wise and not creative and vice versa.
Everyone who is both not generous and tall is both not strong and not old and vice versa.
Everyone who is calm is both not quiet and patient and vice versa.
If mary is both happy and funny then someone is not funny or not humble and vice versa.
If pa... | Lucy is not strong. | entailment | (![X]:(curious(X)<=>(wise(X)&~creative(X))))&
(![X]:((~generous(X)&tall(X))<=>(~strong(X)&~old(X))))&
(![X]:(calm(X)<=>(~quiet(X)&patient(X))))&
(((happy(mary)&funny(mary)))<=>(?[X]:((~funny(X)|~humble(X)))))&
(((wise(paul)|~calm(paul)))=>(?[X]:((~kind(X)|~happy(X)))))&
((?[X]:((~calm(X)&~old(X))))=>(old(fred)))&
(((pa... | ~strong(lucy) | [
"p0",
"p1",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 102448593796611220627845
% SZS output start Proof for 102448593796611220627845
1. ! [X0] : (curious(X0) <=> (~creative(X0) & wise(X0))) [input p0]
2. ! [X0] : ((tall(X0) & ~generous(X0)) <=> (~old(X0) & ~strong(X0))) [input p1]
9. ! [X0] : ((strong(X0) <~> generous(X0)) => (~generous(X0) ... | 0 |
Everyone who is both wise and not wise is both generous and not calm and vice versa.
If someone is not tall then someone is either calm or not generous and vice versa.
Everyone who is either not creative or rich is brave and vice versa.
Everyone who is both funny and curious is both not rich and funny.
Everyone who is ... | Alice is humble. | neutral | (![X]:((wise(X)&~wise(X))<=>(generous(X)&~calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)<~>~generous(X)))))&
(![X]:((~creative(X)<~>rich(X))<=>brave(X)))&
(![X]:((funny(X)&curious(X))=>(~rich(X)&funny(X))))&
(![X]:(brave(X)<=>(~patient(X)|brave(X))))&
(((~humble(alice)|wise(alice)))<=>(?[X]:((patient(X)|~old(X)))))&
... | humble(alice) | [] | null | 0 |
If alice is either not old or curious then someone is either wise or funny and vice versa.
If mary is both brave and not tall then susan is both not rich and not generous and vice versa.
If someone is not humble then someone is not quiet.
If paul is either strong or funny then someone is generous or not old and vice ve... | Fred is patient. | contradiction | (((~old(alice)<~>curious(alice)))<=>(?[X]:((wise(X)<~>funny(X)))))&
(((brave(mary)&~tall(mary)))<=>((~rich(susan)&~generous(susan))))&
((?[X]:(~humble(X)))=>(?[X]:(~quiet(X))))&
(((strong(paul)<~>funny(paul)))<=>(?[X]:((generous(X)|~old(X)))))&
((~calm(alice))=>(calm(mary)))&
(![X]:((old(X)|~humble(X))<=>~curious(X)))&... | patient(fred) | [
"p5",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6757341710221934247629529
% SZS output start Proof for 6757341710221934247629529
6. ! [X0] : ((~humble(X0) | old(X0)) <=> ~curious(X0)) [input p5]
8. ! [X0] : ((curious(X0) & rich(X0)) <=> ~generous(X0)) [input p7]
14. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> ~happy(X0)) [input p13]
19. ... | 0 |
If lucy is both old and kind then lucy is old or wise. Everyone who is both not rich and not tall is not quiet or not generous and vice versa. If susan is humble or not happy then someone is both old and humble and vice versa. Everyone who is funny is either quiet or not calm. Everyone who is rich or generous is not ol... | Susan is not curious. | contradiction | (((old(lucy)&kind(lucy)))=>((old(lucy)|wise(lucy))))&
(![X]:((~rich(X)&~tall(X))<=>(~quiet(X)|~generous(X))))&
(((humble(susan)|~happy(susan)))<=>(?[X]:((old(X)&humble(X)))))&
(![X]:(funny(X)=>(quiet(X)<~>~calm(X))))&
(![X]:((rich(X)|generous(X))<=>~old(X)))&
(![X]:(~curious(X)<=>(happy(X)<~>generous(X))))&
(![X]:((~pa... | ~curious(susan) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5003585655092460648295541
% SZS output start Proof for 5003585655092460648295541
2. ! [X0] : ((~tall(X0) & ~rich(X0)) <=> (~generous(X0) | ~quiet(X0))) [input p1]
3. (~happy(susan) | humble(susan)) <=> ? [X0] : (humble(X0) & old(X0)) [input p2]
5. ! [X0] : ((generous(X0) | rich(X0)) <=> ~... | 0 |
If alice is strong then alice is either not calm or generous and vice versa.
If susan is generous then susan is not old or patient.
If lucy is both calm and rich then someone is old or quiet and vice versa.
If paul is kind or rich then lucy is both not strong and happy and vice versa.
Everyone who is patient is both no... | Susan is creative. | neutral | ((strong(alice))<=>((~calm(alice)<~>generous(alice))))&
((generous(susan))=>((~old(susan)|patient(susan))))&
(((calm(lucy)&rich(lucy)))<=>(?[X]:((old(X)|quiet(X)))))&
(((kind(paul)|rich(paul)))<=>((~strong(lucy)&happy(lucy))))&
(![X]:(patient(X)=>(~brave(X)&~curious(X))))&
(![X]:((calm(X)&tall(X))=>(~wise(X)<~>wise(X))... | creative(susan) | [] | null | 0 |
Everyone who is not wise or curious is either not calm or quiet and vice versa. Everyone who is either creative or not happy is both not quiet and wise. If someone is not wise or not creative then john is creative or curious and vice versa. Everyone who is not quiet is not rich and vice versa. Everyone who is both wise... | Alice is tall. | contradiction | (![X]:((~wise(X)|curious(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:((creative(X)<~>~happy(X))=>(~quiet(X)&wise(X))))&
((?[X]:((~wise(X)|~creative(X))))<=>((creative(john)|curious(john))))&
(![X]:(~quiet(X)<=>~rich(X)))&
(![X]:((wise(X)&~creative(X))=>(patient(X)&~generous(X))))&
((?[X]:(~old(X)))<=>(happy(alice)))&
(![X]:((... | tall(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7076134258988745552577124
% SZS output start Proof for 7076134258988745552577124
15. ! [X0] : ((~funny(X0) | tall(X0)) <=> (~tall(X0) & kind(X0))) [input p14]
24. tall(alice) [input hypothesis]
63. ! [X0] : (((~funny(X0) | tall(X0)) | (tall(X0) | ~kind(X0))) & ((~tall(X0) & kind(X0)) | (f... | 0 |
If someone is both not curious and not brave then someone is tall or not humble.
Everyone who is both quiet and not funny is not kind.
Everyone who is either creative or not quiet is curious.
If mary is both not strong and not rich then someone is generous.
Everyone who is not curious or happy is not curious.
Everyone ... | Paul is creative. | contradiction | ((?[X]:((~curious(X)&~brave(X))))=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:((quiet(X)&~funny(X))=>~kind(X)))&
(![X]:((creative(X)<~>~quiet(X))=>curious(X)))&
(((~strong(mary)&~rich(mary)))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|happy(X))=>~curious(X)))&
(![X]:(patient(X)=>creative(X)))&
(![X]:((happy(X)&~creative(X)... | creative(paul) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6738568089073811125188246
% SZS output start Proof for 6738568089073811125188246
5. ! [X0] : ((happy(X0) | ~curious(X0)) => ~curious(X0)) [input p4]
9. ! [X0] : ((~brave(X0) <~> ~curious(X0)) <=> ~brave(X0)) [input p8]
15. ! [X0] : ((kind(X0) & happy(X0)) <=> (~curious(X0) | creative(X0))... | 0 |
Everyone who is brave is either wise or not curious and vice versa.
If fred is both not generous and calm then someone is not old.
If someone is creative then someone is generous.
Everyone who is both not happy and tall is either not humble or not old.
If mary is not rich then someone is both not happy and old.
Everyon... | Susan is quiet. | entailment | (![X]:(brave(X)<=>(wise(X)<~>~curious(X))))&
(((~generous(fred)&calm(fred)))=>(?[X]:(~old(X))))&
((?[X]:(creative(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)&tall(X))=>(~humble(X)<~>~old(X))))&
((~rich(mary))=>(?[X]:((~happy(X)&old(X)))))&
(![X]:(generous(X)=>(strong(X)&~patient(X))))&
(![X]:((quiet(X)|kind(X))<=>(h... | quiet(susan) | [
"p2",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 700530633757507132924359
% SZS output start Proof for 700530633757507132924359
3. ? [X0] : creative(X0) => ? [X0] : generous(X0) [input p2]
6. ! [X0] : (generous(X0) => (~patient(X0) & strong(X0))) [input p5]
7. ! [X0] : ((kind(X0) | quiet(X0)) <=> (funny(X0) | happy(X0))) [input p6]
11. ... | 0 |
If someone is not tall or quiet then susan is either quiet or not calm. If susan is not kind then paul is not humble or not patient and vice versa. If susan is not tall then susan is humble and vice versa. If someone is either not quiet or not wise then susan is quiet and vice versa. Everyone who is not humble is both ... | Mary is not wise. | neutral | ((?[X]:((~tall(X)|quiet(X))))=>((quiet(susan)<~>~calm(susan))))&
((~kind(susan))<=>((~humble(paul)|~patient(paul))))&
((~tall(susan))<=>(humble(susan)))&
((?[X]:((~quiet(X)<~>~wise(X))))<=>(quiet(susan)))&
(![X]:(~humble(X)<=>(~generous(X)&~brave(X))))&
(![X]:((~happy(X)<~>rich(X))<=>(~happy(X)&rich(X))))&
(![X]:((~pat... | ~wise(mary) | [] | null | 0 |
If someone is not tall or curious then alice is not kind. If someone is both kind and curious then susan is not generous or not humble. Everyone who is either not strong or not calm is both not tall and not rich and vice versa. If someone is not quiet then alice is both not calm and not old. If lucy is not generous the... | Susan is not humble. | entailment | ((?[X]:((~tall(X)|curious(X))))=>(~kind(alice)))&
((?[X]:((kind(X)&curious(X))))=>((~generous(susan)|~humble(susan))))&
(![X]:((~strong(X)<~>~calm(X))<=>(~tall(X)&~rich(X))))&
((?[X]:(~quiet(X)))=>((~calm(alice)&~old(alice))))&
((~generous(lucy))<=>(?[X]:((~quiet(X)<~>creative(X)))))&
((?[X]:(funny(X)))=>((calm(john)<~... | ~humble(susan) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2170850587954255578895477
% SZS output start Proof for 2170850587954255578895477
24. ~old(susan) & ~humble(susan) [input p23]
25. humble(susan) [input hypothesis]
129. ~humble(susan) [cnf transformation 24]
131. humble(susan) [cnf transformation 25]
152. 6 <=> humble(susan) [avatar defini... | 0 |
Everyone who is not kind is both wise and creative.
If fred is both not wise and patient then alice is either tall or not creative.
If someone is either not quiet or not brave then susan is either not patient or not kind and vice versa.
If fred is both curious and not rich then someone is strong or calm and vice versa.... | Susan is not rich. | neutral | (![X]:(~kind(X)=>(wise(X)&creative(X))))&
(((~wise(fred)&patient(fred)))=>((tall(alice)<~>~creative(alice))))&
((?[X]:((~quiet(X)<~>~brave(X))))<=>((~patient(susan)<~>~kind(susan))))&
(((curious(fred)&~rich(fred)))<=>(?[X]:((strong(X)|calm(X)))))&
(((brave(mary)|curious(mary)))=>(?[X]:((humble(X)|curious(X)))))&
(![X]:... | ~rich(susan) | [] | null | 0 |
Everyone who is quiet is not old and vice versa.
If someone is either not kind or not happy then lucy is not wise and vice versa.
If someone is not curious then someone is both humble and not strong.
Everyone who is not strong is wise.
Everyone who is not quiet or not humble is both kind and patient.
If fred is not old... | John is old. | entailment | (![X]:(quiet(X)<=>~old(X)))&
((?[X]:((~kind(X)<~>~happy(X))))<=>(~wise(lucy)))&
((?[X]:(~curious(X)))=>(?[X]:((humble(X)&~strong(X)))))&
(![X]:(~strong(X)=>wise(X)))&
(![X]:((~quiet(X)|~humble(X))=>(kind(X)&patient(X))))&
((~old(fred))=>(?[X]:((calm(X)|funny(X)))))&
(![X]:(happy(X)<=>funny(X)))&
((?[X]:(generous(X)))<=... | old(john) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8053344135547794235680824
% SZS output start Proof for 8053344135547794235680824
1. ! [X0] : (quiet(X0) <=> ~old(X0)) [input p0]
15. ! [X0] : ((~wise(X0) & ~quiet(X0)) <=> (quiet(X0) | strong(X0))) [input p14]
24. ~old(john) [input hypothesis]
39. ! [X0] : ((quiet(X0) | old(X0)) & (~old(X... | 0 |
If lucy is either not creative or not quiet then john is both tall and not strong. Everyone who is either old or quiet is not old or not kind. If someone is both not patient and strong then paul is quiet or funny and vice versa. Everyone who is either not tall or funny is not funny or not tall and vice versa. Everyone ... | John is not patient. | contradiction | (((~creative(lucy)<~>~quiet(lucy)))=>((tall(john)&~strong(john))))&
(![X]:((old(X)<~>quiet(X))=>(~old(X)|~kind(X))))&
((?[X]:((~patient(X)&strong(X))))<=>((quiet(paul)|funny(paul))))&
(![X]:((~tall(X)<~>funny(X))<=>(~funny(X)|~tall(X))))&
(![X]:((old(X)<~>~wise(X))<=>(kind(X)<~>~tall(X))))&
(![X]:((~happy(X)&old(X))=>(... | ~patient(john) | [
"p3",
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8339467560105466407230622
% SZS output start Proof for 8339467560105466407230622
4. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~wise(X0)) <=> (kind(X0) <~> ~tall(X0))) [input p4]
8. ! [X0] : ((~wise(X0) <~> patient(X0)) => (patie... | 0 |
Everyone who is not tall is not funny or old. Everyone who is tall or happy is generous and vice versa. If john is kind or not kind then john is either wise or creative. If someone is not patient or curious then mary is not strong or generous and vice versa. If lucy is both not creative and not wise then fred is either... | Fred is not brave. | neutral | (![X]:(~tall(X)=>(~funny(X)|old(X))))&
(![X]:((tall(X)|happy(X))<=>generous(X)))&
(((kind(john)|~kind(john)))=>((wise(john)<~>creative(john))))&
((?[X]:((~patient(X)|curious(X))))<=>((~strong(mary)|generous(mary))))&
(((~creative(lucy)&~wise(lucy)))<=>((quiet(fred)<~>~humble(fred))))&
(![X]:((~funny(X)|~creative(X))<=>... | ~brave(fred) | [] | null | 0 |
If alice is either not creative or tall then susan is either not creative or not generous and vice versa.
Everyone who is generous or not happy is both not curious and not funny.
If someone is rich or not humble then someone is humble or calm.
If john is either not old or wise then susan is not rich or not calm.
Everyo... | Paul is not creative. | entailment | (((~creative(alice)<~>tall(alice)))<=>((~creative(susan)<~>~generous(susan))))&
(![X]:((generous(X)|~happy(X))=>(~curious(X)&~funny(X))))&
((?[X]:((rich(X)|~humble(X))))=>(?[X]:((humble(X)|calm(X)))))&
(((~old(john)<~>wise(john)))=>((~rich(susan)|~calm(susan))))&
(![X]:((~strong(X)<~>~patient(X))=>(creative(X)<~>genero... | ~creative(paul) | [
"p6",
"p8",
"p10",
"p11",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7946428029907191844137486
% SZS output start Proof for 7946428029907191844137486
7. ! [X0] : ((~tall(X0) <~> ~funny(X0)) <=> wise(X0)) [input p6]
9. ! [X0] : ((~kind(X0) | old(X0)) <=> (tall(X0) | ~funny(X0))) [input p8]
11. ! [X0] : ((rich(X0) | ~humble(X0)) <=> (~rich(X0) <~> ~creative(... | 0 |
If someone is old then someone is funny and vice versa. If paul is both not curious and not generous then someone is not kind and vice versa. If someone is either rich or tall then john is tall. Everyone who is not patient or curious is not humble or not patient and vice versa. Everyone who is both quiet and old is bot... | Paul is generous. | neutral | ((?[X]:(old(X)))<=>(?[X]:(funny(X))))&
(((~curious(paul)&~generous(paul)))<=>(?[X]:(~kind(X))))&
((?[X]:((rich(X)<~>tall(X))))=>(tall(john)))&
(![X]:((~patient(X)|curious(X))<=>(~humble(X)|~patient(X))))&
(![X]:((quiet(X)&old(X))=>(happy(X)&~happy(X))))&
(![X]:((~wise(X)|rich(X))<=>generous(X)))&
(((rich(alice)<~>~calm... | generous(paul) | [] | null | 0 |
If alice is both not patient and not calm then fred is not old or patient.
Everyone who is brave or kind is both tall and brave and vice versa.
If someone is calm then someone is not quiet and vice versa.
Everyone who is both not rich and not funny is both tall and calm and vice versa.
Everyone who is not humble or fun... | Susan is humble. | neutral | (((~patient(alice)&~calm(alice)))=>((~old(fred)|patient(fred))))&
(![X]:((brave(X)|kind(X))<=>(tall(X)&brave(X))))&
((?[X]:(calm(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((~rich(X)&~funny(X))<=>(tall(X)&calm(X))))&
(![X]:((~humble(X)|funny(X))=>(rich(X)<~>tall(X))))&
(![X]:((strong(X)|~calm(X))<=>(funny(X)&~creative(X))))&
(!... | humble(susan) | [] | null | 0 |
Everyone who is both happy and not curious is tall and vice versa.
If paul is brave or calm then fred is both calm and brave and vice versa.
If someone is funny or old then someone is either not rich or wise and vice versa.
Everyone who is both generous and not curious is curious or strong and vice versa.
Everyone who ... | John is strong. | contradiction | (![X]:((happy(X)&~curious(X))<=>tall(X)))&
(((brave(paul)|calm(paul)))<=>((calm(fred)&brave(fred))))&
((?[X]:((funny(X)|old(X))))<=>(?[X]:((~rich(X)<~>wise(X)))))&
(![X]:((generous(X)&~curious(X))<=>(curious(X)|strong(X))))&
(![X]:(patient(X)=>(wise(X)|~humble(X))))&
(![X]:((wise(X)|funny(X))=>(humble(X)|~happy(X))))&
... | strong(john) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8831307485838406650482479
% SZS output start Proof for 8831307485838406650482479
4. ! [X0] : ((~curious(X0) & generous(X0)) <=> (strong(X0) | curious(X0))) [input p3]
5. ! [X0] : (patient(X0) => (~humble(X0) | wise(X0))) [input p4]
6. ! [X0] : ((funny(X0) | wise(X0)) => (~happy(X0) | humb... | 0 |
If lucy is both humble and brave then susan is either humble or not humble. If someone is both not quiet and not curious then paul is happy and vice versa. If lucy is either not brave or patient then lucy is either not generous or quiet and vice versa. Everyone who is either curious or calm is both funny and curious an... | Mary is strong. | entailment | (((humble(lucy)&brave(lucy)))=>((humble(susan)<~>~humble(susan))))&
((?[X]:((~quiet(X)&~curious(X))))<=>(happy(paul)))&
(((~brave(lucy)<~>patient(lucy)))<=>((~generous(lucy)<~>quiet(lucy))))&
(![X]:((curious(X)<~>calm(X))<=>(funny(X)&curious(X))))&
((~curious(paul))=>((~quiet(alice)&~patient(alice))))&
(![X]:(creative(... | strong(mary) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3965177086946128296619290
% SZS output start Proof for 3965177086946128296619290
4. ! [X0] : ((curious(X0) <~> calm(X0)) <=> (curious(X0) & funny(X0))) [input p3]
12. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> (strong(X0) <~> calm(X0))) [input p11]
24. ~strong(mary) [input hypothesis]
40. !... | 0 |
If someone is both brave and happy then susan is kind or not humble. Everyone who is both creative and not generous is generous. Everyone who is both tall and wise is both not creative and generous. Everyone who is funny or not generous is both calm and creative. If someone is generous then lucy is either patient or cr... | Lucy is quiet. | contradiction | ((?[X]:((brave(X)&happy(X))))=>((kind(susan)|~humble(susan))))&
(![X]:((creative(X)&~generous(X))=>generous(X)))&
(![X]:((tall(X)&wise(X))=>(~creative(X)&generous(X))))&
(![X]:((funny(X)|~generous(X))=>(calm(X)&creative(X))))&
((?[X]:(generous(X)))=>((patient(lucy)<~>creative(lucy))))&
(![X]:(humble(X)=>(brave(X)&~curi... | quiet(lucy) | [
"p1",
"p3",
"p4",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8348512309907206094948932
% SZS output start Proof for 8348512309907206094948932
2. ! [X0] : ((~generous(X0) & creative(X0)) => generous(X0)) [input p1]
4. ! [X0] : ((~generous(X0) | funny(X0)) => (creative(X0) & calm(X0))) [input p3]
5. ? [X0] : generous(X0) => (patient(lucy) <~> creativ... | 0 |
Everyone who is either creative or brave is either not quiet or wise and vice versa.
If someone is creative or curious then mary is both old and not curious and vice versa.
Everyone who is both not strong and not brave is both kind and curious and vice versa.
Everyone who is not kind or not creative is not tall or not ... | Mary is strong. | entailment | (![X]:((creative(X)<~>brave(X))<=>(~quiet(X)<~>wise(X))))&
((?[X]:((creative(X)|curious(X))))<=>((old(mary)&~curious(mary))))&
(![X]:((~strong(X)&~brave(X))<=>(kind(X)&curious(X))))&
(![X]:((~kind(X)|~creative(X))=>(~tall(X)|~happy(X))))&
((?[X]:((~rich(X)&calm(X))))<=>((strong(mary)|~wise(mary))))&
(((~patient(mary)|k... | strong(mary) | [
"p1",
"p2",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2620984590388239973853164
% SZS output start Proof for 2620984590388239973853164
2. ? [X0] : (curious(X0) | creative(X0)) <=> (~curious(mary) & old(mary)) [input p1]
3. ! [X0] : ((~brave(X0) & ~strong(X0)) <=> (curious(X0) & kind(X0))) [input p2]
9. ! [X0] : ((brave(X0) | ~happy(X0)) <=> ... | 0 |
Everyone who is either not happy or calm is not happy.
Everyone who is either not humble or not strong is either not funny or curious and vice versa.
If lucy is calm or not generous then someone is either calm or creative.
Everyone who is either kind or not wise is not curious or tall.
If susan is generous or not brave... | Paul is curious. | contradiction | (![X]:((~happy(X)<~>calm(X))=>~happy(X)))&
(![X]:((~humble(X)<~>~strong(X))<=>(~funny(X)<~>curious(X))))&
(((calm(lucy)|~generous(lucy)))=>(?[X]:((calm(X)<~>creative(X)))))&
(![X]:((kind(X)<~>~wise(X))=>(~curious(X)|tall(X))))&
(((generous(susan)|~brave(susan)))=>(?[X]:((~generous(X)|wise(X)))))&
(![X]:((~brave(X)<~>~c... | curious(paul) | [
"p0",
"p13",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7245071395448201734414960
% SZS output start Proof for 7245071395448201734414960
1. ! [X0] : ((~happy(X0) <~> calm(X0)) => ~happy(X0)) [input p0]
14. ? [X0] : (~brave(X0) | ~tall(X0)) => (~curious(paul) & ~kind(paul)) [input p13]
16. ? [X0] : (rich(X0) | ~happy(X0)) => (~brave(susan) & ~r... | 0 |
If paul is not creative then lucy is either tall or not rich.
Everyone who is either funny or tall is not calm or not creative and vice versa.
Everyone who is not humble or not curious is not kind or not brave and vice versa.
Everyone who is either not calm or wise is not calm or happy and vice versa.
Everyone who is n... | Fred is not tall. | entailment | ((~creative(paul))=>((tall(lucy)<~>~rich(lucy))))&
(![X]:((funny(X)<~>tall(X))<=>(~calm(X)|~creative(X))))&
(![X]:((~humble(X)|~curious(X))<=>(~kind(X)|~brave(X))))&
(![X]:((~calm(X)<~>wise(X))<=>(~calm(X)|happy(X))))&
(![X]:((~kind(X)|~calm(X))=>(creative(X)<~>kind(X))))&
(((generous(susan)|~curious(susan)))=>(kind(al... | ~tall(fred) | [
"p3",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3690407872308937484378359
% SZS output start Proof for 3690407872308937484378359
4. ! [X0] : ((~calm(X0) <~> wise(X0)) <=> (happy(X0) | ~calm(X0))) [input p3]
11. ! [X0] : ((tall(X0) <~> generous(X0)) <=> wise(X0)) [input p10]
20. ~calm(fred) & ~generous(fred) [input p19]
25. tall(fred) [... | 0 |
Everyone who is either patient or not quiet is either old or quiet.
Everyone who is quiet is not wise.
Everyone who is both not humble and kind is both not wise and strong and vice versa.
Everyone who is both not tall and calm is not happy or patient and vice versa.
If someone is not strong or humble then someone is ei... | Fred is not rich. | contradiction | (![X]:((patient(X)<~>~quiet(X))=>(old(X)<~>quiet(X))))&
(![X]:(quiet(X)=>~wise(X)))&
(![X]:((~humble(X)&kind(X))<=>(~wise(X)&strong(X))))&
(![X]:((~tall(X)&calm(X))<=>(~happy(X)|patient(X))))&
((?[X]:((~strong(X)|humble(X))))=>(?[X]:((~happy(X)<~>~humble(X)))))&
(![X]:(~humble(X)=>(happy(X)|~generous(X))))&
(((strong(j... | ~rich(fred) | [
"p3",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5931478986041324422192094
% SZS output start Proof for 5931478986041324422192094
4. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (patient(X0) | ~happy(X0))) [input p3]
11. ! [X0] : ((~tall(X0) & ~happy(X0)) => (tall(X0) <~> happy(X0))) [input p10]
13. ! [X0] : ((~strong(X0) <~> quiet(X0)) <=> (~h... | 0 |
Everyone who is either not generous or funny is both not quiet and not creative and vice versa.
Everyone who is rich or not funny is either creative or not funny.
Everyone who is curious is tall and vice versa.
If someone is either calm or not strong then fred is not creative or curious and vice versa.
Everyone who is ... | Paul is strong. | entailment | (![X]:((~generous(X)<~>funny(X))<=>(~quiet(X)&~creative(X))))&
(![X]:((rich(X)|~funny(X))=>(creative(X)<~>~funny(X))))&
(![X]:(curious(X)<=>tall(X)))&
((?[X]:((calm(X)<~>~strong(X))))<=>((~creative(fred)|curious(fred))))&
(![X]:((creative(X)<~>quiet(X))<=>(~patient(X)|~rich(X))))&
((?[X]:((old(X)&quiet(X))))=>(?[X]:((t... | strong(paul) | [
"p7",
"p8",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1283670134221748573885228
% SZS output start Proof for 1283670134221748573885228
8. ! [X0] : ((~rich(X0) | ~wise(X0)) <=> kind(X0)) [input p7]
9. (~generous(alice) | creative(alice)) => ~rich(paul) [input p8]
12. ! [X0] : ((~old(X0) | ~calm(X0)) <=> (creative(X0) & ~patient(X0))) [input p... | 0 |
If someone is brave or not generous then john is not calm and vice versa. Everyone who is both not tall and not brave is either rich or calm and vice versa. Everyone who is curious or brave is generous and vice versa. Everyone who is old is strong or old and vice versa. Everyone who is not calm or not quiet is patient ... | Lucy is rich. | contradiction | ((?[X]:((brave(X)|~generous(X))))<=>(~calm(john)))&
(![X]:((~tall(X)&~brave(X))<=>(rich(X)<~>calm(X))))&
(![X]:((curious(X)|brave(X))<=>generous(X)))&
(![X]:(old(X)<=>(strong(X)|old(X))))&
(![X]:((~calm(X)|~quiet(X))=>(patient(X)|brave(X))))&
((?[X]:((~brave(X)&creative(X))))=>(?[X]:((~creative(X)|~generous(X)))))&
(![... | rich(lucy) | [
"p6",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7914295313194594555380257
% SZS output start Proof for 7914295313194594555380257
7. ! [X0] : ((creative(X0) | ~creative(X0)) <=> (quiet(X0) | humble(X0))) [input p6]
14. ! [X0] : (quiet(X0) => (humble(X0) | happy(X0))) [input p13]
16. ? [X0] : (~strong(X0) | generous(X0)) <=> (~humble(sus... | 0 |
If someone is wise or not kind then fred is tall or strong and vice versa.
Everyone who is creative or wise is either not kind or calm.
Everyone who is either kind or tall is either creative or not kind.
Everyone who is not wise is not calm or patient and vice versa.
If lucy is either not patient or not funny then mary... | Alice is not curious. | contradiction | ((?[X]:((wise(X)|~kind(X))))<=>((tall(fred)|strong(fred))))&
(![X]:((creative(X)|wise(X))=>(~kind(X)<~>calm(X))))&
(![X]:((kind(X)<~>tall(X))=>(creative(X)<~>~kind(X))))&
(![X]:(~wise(X)<=>(~calm(X)|patient(X))))&
(((~patient(lucy)<~>~funny(lucy)))<=>(~happy(mary)))&
((?[X]:((~old(X)&~kind(X))))<=>((rich(alice)|~brave(... | ~curious(alice) | [
"p1",
"p3",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 203663517763365035155049
% SZS output start Proof for 203663517763365035155049
2. ! [X0] : ((wise(X0) | creative(X0)) => (~kind(X0) <~> calm(X0))) [input p1]
4. ! [X0] : (~wise(X0) <=> (patient(X0) | ~calm(X0))) [input p3]
11. ? [X0] : (~kind(X0) & old(X0)) <=> ? [X0] : (generous(X0) | ~c... | 0 |
Everyone who is not wise or not old is both not tall and not wise.
If someone is not calm or not funny then susan is both tall and brave and vice versa.
If susan is not creative then someone is wise and vice versa.
Everyone who is either not happy or creative is either not patient or old.
Everyone who is wise is curiou... | Paul is patient. | neutral | (![X]:((~wise(X)|~old(X))=>(~tall(X)&~wise(X))))&
((?[X]:((~calm(X)|~funny(X))))<=>((tall(susan)&brave(susan))))&
((~creative(susan))<=>(?[X]:(wise(X))))&
(![X]:((~happy(X)<~>creative(X))=>(~patient(X)<~>old(X))))&
(![X]:(wise(X)<=>(curious(X)|~rich(X))))&
(![X]:((~old(X)|strong(X))<=>(~kind(X)&strong(X))))&
(((humble(... | patient(paul) | [] | null | 0 |
If someone is humble then someone is either not patient or not rich and vice versa. If alice is brave or funny then someone is either not quiet or not funny and vice versa. Everyone who is both funny and brave is not curious or calm and vice versa. Everyone who is either strong or not happy is both tall and generous. E... | Lucy is brave. | neutral | ((?[X]:(humble(X)))<=>(?[X]:((~patient(X)<~>~rich(X)))))&
(((brave(alice)|funny(alice)))<=>(?[X]:((~quiet(X)<~>~funny(X)))))&
(![X]:((funny(X)&brave(X))<=>(~curious(X)|calm(X))))&
(![X]:((strong(X)<~>~happy(X))=>(tall(X)&generous(X))))&
(![X]:((wise(X)<~>tall(X))<=>(~brave(X)|calm(X))))&
((calm(alice))<=>(?[X]:((~curio... | brave(lucy) | [] | null | 0 |
Everyone who is either old or not curious is not happy.
Everyone who is not brave is not old or rich and vice versa.
Everyone who is old or not curious is both not creative and funny and vice versa.
Everyone who is kind is not funny and vice versa.
If someone is not calm or brave then someone is both not brave and not ... | Lucy is not strong. | contradiction | (![X]:((old(X)<~>~curious(X))=>~happy(X)))&
(![X]:(~brave(X)<=>(~old(X)|rich(X))))&
(![X]:((old(X)|~curious(X))<=>(~creative(X)&funny(X))))&
(![X]:(kind(X)<=>~funny(X)))&
((?[X]:((~calm(X)|brave(X))))<=>(?[X]:((~brave(X)&~old(X)))))&
((?[X]:(wise(X)))<=>(?[X]:(calm(X))))&
(((~kind(lucy)<~>creative(lucy)))=>((~generous(... | ~strong(lucy) | [
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7199572261685488837794969
% SZS output start Proof for 7199572261685488837794969
9. ! [X0] : ((~generous(X0) | ~strong(X0)) => (~wise(X0) & kind(X0))) [input p8]
16. ! [X0] : ((calm(X0) & strong(X0)) <=> (strong(X0) <~> kind(X0))) [input p15]
25. ~strong(lucy) [input hypothesis]
32. ! [X0... | 0 |
Everyone who is not curious is either humble or not calm. Everyone who is not rich is calm. Everyone who is either not wise or not humble is either kind or curious and vice versa. Everyone who is both rich and not wise is not quiet or happy and vice versa. If susan is not patient then someone is happy or calm. Everyone... | Mary is creative. | contradiction | (![X]:(~curious(X)=>(humble(X)<~>~calm(X))))&
(![X]:(~rich(X)=>calm(X)))&
(![X]:((~wise(X)<~>~humble(X))<=>(kind(X)<~>curious(X))))&
(![X]:((rich(X)&~wise(X))<=>(~quiet(X)|happy(X))))&
((~patient(susan))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:(~creative(X)=>(tall(X)|~quiet(X))))&
((?[X]:(wise(X)))<=>((patient(susan)&gene... | creative(mary) | [
"p0",
"p1",
"p3",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2676981910729972436577163
% SZS output start Proof for 2676981910729972436577163
1. ! [X0] : (~curious(X0) => (humble(X0) <~> ~calm(X0))) [input p0]
2. ! [X0] : (~rich(X0) => calm(X0)) [input p1]
4. ! [X0] : ((~wise(X0) & rich(X0)) <=> (happy(X0) | ~quiet(X0))) [input p3]
11. (~tall(alice... | 0 |
If alice is either not humble or not funny then someone is calm and vice versa.
Everyone who is not old is either not calm or not brave and vice versa.
If someone is not patient or rich then someone is both not creative and funny.
If fred is either not rich or generous then someone is kind and vice versa.
Everyone who ... | Paul is quiet. | neutral | (((~humble(alice)<~>~funny(alice)))<=>(?[X]:(calm(X))))&
(![X]:(~old(X)<=>(~calm(X)<~>~brave(X))))&
((?[X]:((~patient(X)|rich(X))))=>(?[X]:((~creative(X)&funny(X)))))&
(((~rich(fred)<~>generous(fred)))<=>(?[X]:(kind(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(rich(X)<~>~quiet(X))))&
(![X]:(~happy(X)<=>(~rich(X)&humble(X)... | quiet(paul) | [] | null | 0 |
Everyone who is both not humble and not strong is humble or not tall and vice versa.
If someone is both wise and quiet then someone is both humble and quiet and vice versa.
Everyone who is either quiet or not generous is both not wise and not happy and vice versa.
Everyone who is either not humble or not strong is tall... | John is generous. | entailment | (![X]:((~humble(X)&~strong(X))<=>(humble(X)|~tall(X))))&
((?[X]:((wise(X)&quiet(X))))<=>(?[X]:((humble(X)&quiet(X)))))&
(![X]:((quiet(X)<~>~generous(X))<=>(~wise(X)&~happy(X))))&
(![X]:((~humble(X)<~>~strong(X))=>(tall(X)|~old(X))))&
((?[X]:((funny(X)|~wise(X))))=>(?[X]:(calm(X))))&
((happy(paul))=>((kind(lucy)|calm(lu... | generous(john) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6107185992859425419588297
% SZS output start Proof for 6107185992859425419588297
1. ! [X0] : ((~strong(X0) & ~humble(X0)) <=> (~tall(X0) | humble(X0))) [input p0]
2. ? [X0] : (quiet(X0) & wise(X0)) <=> ? [X0] : (quiet(X0) & humble(X0)) [input p1]
3. ! [X0] : ((quiet(X0) <~> ~generous(X0))... | 0 |
Everyone who is tall is both not tall and not creative and vice versa. If someone is not kind or not happy then john is both calm and happy and vice versa. If someone is not strong or curious then someone is either not tall or curious and vice versa. If alice is both not kind and not rich then someone is either not wis... | John is not kind. | neutral | (![X]:(tall(X)<=>(~tall(X)&~creative(X))))&
((?[X]:((~kind(X)|~happy(X))))<=>((calm(john)&happy(john))))&
((?[X]:((~strong(X)|curious(X))))<=>(?[X]:((~tall(X)<~>curious(X)))))&
(((~kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)<~>tall(X)))))&
(((~curious(fred)&~quiet(fred)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~brav... | ~kind(john) | [] | null | 0 |
Everyone who is brave or funny is not old. If someone is both not happy and not rich then someone is rich. If fred is generous or not generous then someone is either brave or not strong and vice versa. If someone is not generous or quiet then john is both brave and creative and vice versa. Everyone who is not funny or ... | Lucy is creative. | neutral | (![X]:((brave(X)|funny(X))=>~old(X)))&
((?[X]:((~happy(X)&~rich(X))))=>(?[X]:(rich(X))))&
(((generous(fred)|~generous(fred)))<=>(?[X]:((brave(X)<~>~strong(X)))))&
((?[X]:((~generous(X)|quiet(X))))<=>((brave(john)&creative(john))))&
(![X]:((~funny(X)|~wise(X))<=>(strong(X)&~patient(X))))&
(![X]:((~kind(X)<~>~humble(X))<... | creative(lucy) | [] | null | 0 |
Everyone who is patient or not patient is calm or tall.
Everyone who is both not rich and not humble is both generous and wise and vice versa.
Everyone who is not quiet or not old is calm and vice versa.
If john is not wise or curious then someone is not patient.
If paul is strong or old then paul is not tall and vice ... | Paul is brave. | contradiction | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:((~quiet(X)|~old(X))<=>calm(X)))&
(((~wise(john)|curious(john)))=>(?[X]:(~patient(X))))&
(((strong(paul)|old(paul)))<=>(~tall(paul)))&
((?[X]:((wise(X)|kind(X))))<=>(?[X]:((quiet(X)&calm(X)))))&
(((happy(... | brave(paul) | [
"p0",
"p4",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7816841809406352948702722
% SZS output start Proof for 7816841809406352948702722
1. ! [X0] : ((~patient(X0) | patient(X0)) => (tall(X0) | calm(X0))) [input p0]
5. (old(paul) | strong(paul)) <=> ~tall(paul) [input p4]
9. ! [X0] : ((~humble(X0) | ~old(X0)) <=> funny(X0)) [input p8]
10. ? [X... | 0 |
If someone is either not happy or funny then mary is not quiet or not kind and vice versa.
Everyone who is either funny or not kind is not old or funny and vice versa.
Everyone who is either not tall or not old is not curious.
If susan is generous or not tall then lucy is both quiet and not tall.
If susan is not rich t... | Fred is wise. | neutral | ((?[X]:((~happy(X)<~>funny(X))))<=>((~quiet(mary)|~kind(mary))))&
(![X]:((funny(X)<~>~kind(X))<=>(~old(X)|funny(X))))&
(![X]:((~tall(X)<~>~old(X))=>~curious(X)))&
(((generous(susan)|~tall(susan)))=>((quiet(lucy)&~tall(lucy))))&
((~rich(susan))<=>((~rich(alice)|~curious(alice))))&
(![X]:(~strong(X)=>~old(X)))&
(![X]:(~q... | wise(fred) | [] | null | 0 |
Everyone who is not strong is both not tall and old and vice versa.
Everyone who is wise or brave is both funny and brave and vice versa.
If someone is both not patient and curious then someone is either brave or tall and vice versa.
Everyone who is both humble and brave is both tall and humble and vice versa.
Everyone... | Mary is not old. | entailment | (![X]:(~strong(X)<=>(~tall(X)&old(X))))&
(![X]:((wise(X)|brave(X))<=>(funny(X)&brave(X))))&
((?[X]:((~patient(X)&curious(X))))<=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((humble(X)&brave(X))<=>(tall(X)&humble(X))))&
(![X]:((~funny(X)|~tall(X))=>(strong(X)|creative(X))))&
((?[X]:((~old(X)&tall(X))))=>((quiet(alice)|wise(a... | ~old(mary) | [
"p0",
"p3",
"p4",
"p6",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2748838694284968750884649
% SZS output start Proof for 2748838694284968750884649
1. ! [X0] : (~strong(X0) <=> (old(X0) & ~tall(X0))) [input p0]
4. ! [X0] : ((brave(X0) & humble(X0)) <=> (humble(X0) & tall(X0))) [input p3]
5. ! [X0] : ((~tall(X0) | ~funny(X0)) => (creative(X0) | strong(X0)... | 0 |
Everyone who is not rich is generous and vice versa.
Everyone who is happy is not strong or not wise.
Everyone who is not tall or not old is kind and vice versa.
If someone is happy then alice is both not tall and not calm.
Everyone who is happy is both not generous and not patient.
Everyone who is not kind or not stro... | Mary is not happy. | entailment | (![X]:(~rich(X)<=>generous(X)))&
(![X]:(happy(X)=>(~strong(X)|~wise(X))))&
(![X]:((~tall(X)|~old(X))<=>kind(X)))&
((?[X]:(happy(X)))=>((~tall(alice)&~calm(alice))))&
(![X]:(happy(X)=>(~generous(X)&~patient(X))))&
(![X]:((~kind(X)|~strong(X))=>(calm(X)<~>rich(X))))&
(![X]:((~happy(X)|~tall(X))<=>(rich(X)&creative(X))))&... | ~happy(mary) | [
"p0",
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3502894626700122143445576
% SZS output start Proof for 3502894626700122143445576
1. ! [X0] : (~rich(X0) <=> generous(X0)) [input p0]
5. ! [X0] : (happy(X0) => (~patient(X0) & ~generous(X0))) [input p4]
7. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> (creative(X0) & rich(X0))) [input p6]
10. ? [... | 0 |
Everyone who is either quiet or not old is wise or brave and vice versa. Everyone who is happy is not creative. If lucy is either not calm or old then someone is both brave and not kind and vice versa. Everyone who is curious is not funny or kind and vice versa. If someone is either not rich or not old then lucy is eit... | Paul is not brave. | contradiction | (![X]:((quiet(X)<~>~old(X))<=>(wise(X)|brave(X))))&
(![X]:(happy(X)=>~creative(X)))&
(((~calm(lucy)<~>old(lucy)))<=>(?[X]:((brave(X)&~kind(X)))))&
(![X]:(curious(X)<=>(~funny(X)|kind(X))))&
((?[X]:((~rich(X)<~>~old(X))))=>((~creative(lucy)<~>generous(lucy))))&
(![X]:(~wise(X)<=>(brave(X)&~creative(X))))&
(![X]:((wise(X... | ~brave(paul) | [
"p5",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 634367649886647553637967
% SZS output start Proof for 634367649886647553637967
6. ! [X0] : (~wise(X0) <=> (~creative(X0) & brave(X0))) [input p5]
17. ~wise(paul) & calm(paul) [input p16]
22. ~brave(paul) [input hypothesis]
38. ! [X0] : ((~wise(X0) | (creative(X0) | ~brave(X0))) & ((~creat... | 0 |
If alice is not old then someone is happy.
Everyone who is old is either not humble or brave and vice versa.
Everyone who is either not curious or not quiet is not creative and vice versa.
If john is either creative or not funny then paul is happy or humble and vice versa.
Everyone who is kind is curious.
If mary is ha... | Lucy is wise. | neutral | ((~old(alice))=>(?[X]:(happy(X))))&
(![X]:(old(X)<=>(~humble(X)<~>brave(X))))&
(![X]:((~curious(X)<~>~quiet(X))<=>~creative(X)))&
(((creative(john)<~>~funny(john)))<=>((happy(paul)|humble(paul))))&
(![X]:(kind(X)=>curious(X)))&
((happy(mary))=>(?[X]:((~old(X)<~>~generous(X)))))&
(![X]:((happy(X)|~wise(X))<=>(kind(X)<~>... | wise(lucy) | [] | null | 0 |
If someone is not creative then someone is not happy or quiet.
Everyone who is both not brave and creative is strong.
Everyone who is either creative or not patient is humble or not happy and vice versa.
If someone is wise then someone is not rich.
Everyone who is both generous and not patient is quiet or not tall.
Eve... | John is funny. | entailment | ((?[X]:(~creative(X)))=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:((~brave(X)&creative(X))=>strong(X)))&
(![X]:((creative(X)<~>~patient(X))<=>(humble(X)|~happy(X))))&
((?[X]:(wise(X)))=>(?[X]:(~rich(X))))&
(![X]:((generous(X)&~patient(X))=>(quiet(X)|~tall(X))))&
(![X]:((funny(X)|tall(X))<=>(tall(X)|patient(X))))&
((?[X]:((... | funny(john) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6083958474525050359604224
% SZS output start Proof for 6083958474525050359604224
13. ? [X0] : (~wise(X0) | ~funny(X0)) => ? [X0] : (~tall(X0) & ~funny(X0)) [input p12]
14. ! [X0] : (tall(X0) <=> (~tall(X0) | generous(X0))) [input p13]
23. ~funny(john) [input hypothesis]
27. ? [X0] : (~wis... | 0 |
Everyone who is either tall or not rich is either patient or rich and vice versa.
Everyone who is rich is brave.
If someone is either tall or not generous then susan is both not rich and not funny and vice versa.
Everyone who is tall or kind is both rich and not calm and vice versa.
Everyone who is humble or patient is... | Susan is not happy. | entailment | (![X]:((tall(X)<~>~rich(X))<=>(patient(X)<~>rich(X))))&
(![X]:(rich(X)=>brave(X)))&
((?[X]:((tall(X)<~>~generous(X))))<=>((~rich(susan)&~funny(susan))))&
(![X]:((tall(X)|kind(X))<=>(rich(X)&~calm(X))))&
(![X]:((humble(X)|patient(X))<=>funny(X)))&
(![X]:((~generous(X)|~happy(X))=>(~rich(X)|~funny(X))))&
(((quiet(alice)|... | ~happy(susan) | [
"p1",
"p3",
"p7",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6709163719079396317596364
% SZS output start Proof for 6709163719079396317596364
2. ! [X0] : (rich(X0) => brave(X0)) [input p1]
4. ! [X0] : ((kind(X0) | tall(X0)) <=> (~calm(X0) & rich(X0))) [input p3]
8. ? [X0] : (~old(X0) <~> happy(X0)) <=> ? [X0] : (~kind(X0) <~> ~brave(X0)) [input p7]... | 0 |
If someone is kind or not creative then mary is not wise or tall and vice versa.
Everyone who is either not happy or not patient is either happy or not brave.
If someone is not strong or not tall then john is either not curious or not tall.
Everyone who is both old and calm is either not curious or rich and vice versa.... | John is quiet. | entailment | ((?[X]:((kind(X)|~creative(X))))<=>((~wise(mary)|tall(mary))))&
(![X]:((~happy(X)<~>~patient(X))=>(happy(X)<~>~brave(X))))&
((?[X]:((~strong(X)|~tall(X))))=>((~curious(john)<~>~tall(john))))&
(![X]:((old(X)&calm(X))<=>(~curious(X)<~>rich(X))))&
(![X]:((~strong(X)<~>patient(X))<=>kind(X)))&
(((quiet(lucy)|~wise(lucy)))=... | quiet(john) | [
"p1",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8428769985405183991839321
% SZS output start Proof for 8428769985405183991839321
2. ! [X0] : ((~happy(X0) <~> ~patient(X0)) => (happy(X0) <~> ~brave(X0))) [input p1]
7. ! [X0] : ((~humble(X0) | happy(X0)) => (~generous(X0) & ~rich(X0))) [input p6]
12. ? [X0] : ~quiet(X0) <=> (patient(mary... | 0 |
If someone is both patient and not old then someone is not funny.
If someone is both not generous and not creative then mary is both funny and not wise and vice versa.
Everyone who is funny is either old or not calm and vice versa.
If someone is both calm and rich then fred is either not kind or funny and vice versa.
E... | Lucy is not brave. | neutral | ((?[X]:((patient(X)&~old(X))))=>(?[X]:(~funny(X))))&
((?[X]:((~generous(X)&~creative(X))))<=>((funny(mary)&~wise(mary))))&
(![X]:(funny(X)<=>(old(X)<~>~calm(X))))&
((?[X]:((calm(X)&rich(X))))<=>((~kind(fred)<~>funny(fred))))&
(![X]:((strong(X)&~quiet(X))=>(strong(X)<~>funny(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~quiet... | ~brave(lucy) | [] | null | 0 |
Everyone who is humble is not creative or calm and vice versa. Everyone who is either not happy or not rich is not happy or not generous and vice versa. Everyone who is either not funny or patient is not quiet or not rich. Everyone who is both generous and strong is curious and vice versa. Everyone who is not calm or n... | John is generous. | neutral | (![X]:(humble(X)<=>(~creative(X)|calm(X))))&
(![X]:((~happy(X)<~>~rich(X))<=>(~happy(X)|~generous(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~quiet(X)|~rich(X))))&
(![X]:((generous(X)&strong(X))<=>curious(X)))&
(![X]:((~calm(X)|~funny(X))=>(~quiet(X)&~wise(X))))&
((~humble(paul))<=>(?[X]:((~funny(X)&~tall(X)))))&
(![X]:(... | generous(john) | [] | null | 0 |
Everyone who is either quiet or not generous is both not humble and not creative. If someone is both creative and not kind then someone is happy or not strong and vice versa. If someone is either rich or strong then someone is not patient. If someone is either not quiet or generous then someone is not tall or tall. Eve... | Susan is not strong. | neutral | (![X]:((quiet(X)<~>~generous(X))=>(~humble(X)&~creative(X))))&
((?[X]:((creative(X)&~kind(X))))<=>(?[X]:((happy(X)|~strong(X)))))&
((?[X]:((rich(X)<~>strong(X))))=>(?[X]:(~patient(X))))&
((?[X]:((~quiet(X)<~>generous(X))))=>(?[X]:((~tall(X)|tall(X)))))&
(![X]:((~curious(X)&~happy(X))<=>(~quiet(X)|rich(X))))&
((wise(luc... | ~strong(susan) | [] | null | 0 |
If mary is not old then alice is either not patient or rich.
If someone is not calm or happy then someone is not quiet or not strong.
Everyone who is not old or humble is both not strong and not quiet.
If fred is both funny and not rich then someone is either not humble or not old.
If paul is both not old and not gener... | Lucy is happy. | neutral | ((~old(mary))=>((~patient(alice)<~>rich(alice))))&
((?[X]:((~calm(X)|happy(X))))=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:((~old(X)|humble(X))=>(~strong(X)&~quiet(X))))&
(((funny(fred)&~rich(fred)))=>(?[X]:((~humble(X)<~>~old(X)))))&
(((~old(paul)&~generous(paul)))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((creative(X)|~wi... | happy(lucy) | [] | null | 0 |
Everyone who is funny is both not patient and not curious and vice versa.
Everyone who is either old or not quiet is both strong and brave and vice versa.
Everyone who is either not tall or not creative is funny or generous.
Everyone who is not kind is both funny and not happy.
Everyone who is either not tall or happy ... | Lucy is old. | neutral | (![X]:(funny(X)<=>(~patient(X)&~curious(X))))&
(![X]:((old(X)<~>~quiet(X))<=>(strong(X)&brave(X))))&
(![X]:((~tall(X)<~>~creative(X))=>(funny(X)|generous(X))))&
(![X]:(~kind(X)=>(funny(X)&~happy(X))))&
(![X]:((~tall(X)<~>happy(X))<=>(brave(X)&funny(X))))&
(![X]:((old(X)|~calm(X))<=>(calm(X)|~quiet(X))))&
(![X]:((~gener... | old(lucy) | [] | null | 0 |
Everyone who is creative is both rich and not curious and vice versa. If someone is not tall or brave then someone is tall or quiet and vice versa. Everyone who is not happy or not wise is rich or tall and vice versa. If someone is either tall or not strong then mary is both not tall and funny. If someone is not wise o... | John is not funny. | entailment | (![X]:(creative(X)<=>(rich(X)&~curious(X))))&
((?[X]:((~tall(X)|brave(X))))<=>(?[X]:((tall(X)|quiet(X)))))&
(![X]:((~happy(X)|~wise(X))<=>(rich(X)|tall(X))))&
((?[X]:((tall(X)<~>~strong(X))))=>((~tall(mary)&funny(mary))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|curious(X))))=>((~happy(fred... | ~funny(john) | [
"p0",
"p3",
"p4",
"p6",
"p9",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8755204422578876401247824
% SZS output start Proof for 8755204422578876401247824
1. ! [X0] : (creative(X0) <=> (~curious(X0) & rich(X0))) [input p0]
4. ? [X0] : (tall(X0) <~> ~strong(X0)) => (funny(mary) & ~tall(mary)) [input p3]
5. ? [X0] : (~kind(X0) | ~wise(X0)) => ? [X0] : ~rich(X0) [... | 0 |
Everyone who is generous is patient or not happy and vice versa.
Everyone who is generous is wise and vice versa.
If alice is either creative or calm then someone is both not curious and brave.
If someone is either not generous or strong then john is not rich or funny.
If alice is either curious or not curious then som... | Alice is not calm. | contradiction | (![X]:(generous(X)<=>(patient(X)|~happy(X))))&
(![X]:(generous(X)<=>wise(X)))&
(((creative(alice)<~>calm(alice)))=>(?[X]:((~curious(X)&brave(X)))))&
((?[X]:((~generous(X)<~>strong(X))))=>((~rich(john)|funny(john))))&
(((curious(alice)<~>~curious(alice)))<=>(?[X]:((~generous(X)|calm(X)))))&
(((curious(alice)|patient(ali... | ~calm(alice) | [
"p0",
"p1",
"p5",
"p7",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6380468398969287457626930
% SZS output start Proof for 6380468398969287457626930
1. ! [X0] : (generous(X0) <=> (~happy(X0) | patient(X0))) [input p0]
2. ! [X0] : (generous(X0) <=> wise(X0)) [input p1]
6. (patient(alice) | curious(alice)) <=> ? [X0] : (funny(X0) & humble(X0)) [input p5]
8.... | 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... | Fred is not funny. | 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)))))&
(... | ~funny(fred) | [] | null | 0 |
If someone is both not patient and not happy then someone is both old and generous and vice versa. If someone is both not tall and not generous then alice is either calm or generous. Everyone who is either not patient or not creative is both generous and old. If fred is both not wise and not quiet then someone is not w... | Alice is not happy. | contradiction | ((?[X]:((~patient(X)&~happy(X))))<=>(?[X]:((old(X)&generous(X)))))&
((?[X]:((~tall(X)&~generous(X))))=>((calm(alice)<~>generous(alice))))&
(![X]:((~patient(X)<~>~creative(X))=>(generous(X)&old(X))))&
(((~wise(fred)&~quiet(fred)))=>(?[X]:((~wise(X)|~generous(X)))))&
(![X]:((patient(X)<~>~curious(X))=>(strong(X)&patient(... | ~happy(alice) | [
"p0",
"p2",
"p4",
"p5",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2656134081020713121631079
% SZS output start Proof for 2656134081020713121631079
1. ? [X0] : (~happy(X0) & ~patient(X0)) <=> ? [X0] : (generous(X0) & old(X0)) [input p0]
3. ! [X0] : ((~patient(X0) <~> ~creative(X0)) => (old(X0) & generous(X0))) [input p2]
5. ! [X0] : ((patient(X0) <~> ~cu... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa.
If fred is both not funny and not wise then someone is patient and vice versa.
If someone is both curious and calm then mary is not wise or curious and vice versa.
Everyone who is not humble is not curious or not strong and vice ver... | Fred is not curious. | neutral | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((curious(X)&calm(X))))<=>((~wise(mary)|curious(mary))))&
(![X]:(~humble(X)<=>(~curious(X)|~strong(X))))&
(![X]:((kind(X)<~>~strong(X))<=>rich(X)))&
((~kind(susan))=>((creative(alice)<~>kind(alice)))... | ~curious(fred) | [] | null | 0 |
If someone is both old and strong then someone is either creative or not patient and vice versa.
If fred is either kind or humble then lucy is not tall and vice versa.
If fred is either calm or kind then john is not kind or not happy.
Everyone who is both tall and not curious is either brave or not rich and vice versa.... | John is not old. | neutral | ((?[X]:((old(X)&strong(X))))<=>(?[X]:((creative(X)<~>~patient(X)))))&
(((kind(fred)<~>humble(fred)))<=>(~tall(lucy)))&
(((calm(fred)<~>kind(fred)))=>((~kind(john)|~happy(john))))&
(![X]:((tall(X)&~curious(X))<=>(brave(X)<~>~rich(X))))&
((?[X]:(~patient(X)))=>(rich(lucy)))&
(![X]:((~quiet(X)<~>~generous(X))<=>kind(X)))&... | ~old(john) | [] | null | 0 |
If lucy is either not happy or not strong then fred is either not funny or tall and vice versa.
Everyone who is tall or not quiet is both not calm and not funny and vice versa.
If john is curious or not wise then mary is either calm or happy.
Everyone who is either curious or creative is not funny or curious and vice v... | Fred is not happy. | neutral | (((~happy(lucy)<~>~strong(lucy)))<=>((~funny(fred)<~>tall(fred))))&
(![X]:((tall(X)|~quiet(X))<=>(~calm(X)&~funny(X))))&
(((curious(john)|~wise(john)))=>((calm(mary)<~>happy(mary))))&
(![X]:((curious(X)<~>creative(X))<=>(~funny(X)|curious(X))))&
(((~creative(alice)|~humble(alice)))<=>(?[X]:((happy(X)&~old(X)))))&
((?[X... | ~happy(fred) | [] | null | 0 |
Everyone who is both happy and not rich is calm or not old. Everyone who is either not generous or wise is quiet. If mary is not calm or not rich then lucy is both tall and funny. Everyone who is both not happy and not quiet is generous. If someone is either not rich or not kind then someone is not tall or happy. Every... | Lucy is funny. | entailment | (![X]:((happy(X)&~rich(X))=>(calm(X)|~old(X))))&
(![X]:((~generous(X)<~>wise(X))=>quiet(X)))&
(((~calm(mary)|~rich(mary)))=>((tall(lucy)&funny(lucy))))&
(![X]:((~happy(X)&~quiet(X))=>generous(X)))&
((?[X]:((~rich(X)<~>~kind(X))))=>(?[X]:((~tall(X)|happy(X)))))&
(![X]:((~creative(X)<~>~rich(X))=>funny(X)))&
(![X]:((brav... | funny(lucy) | [
"p1",
"p2",
"p3",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1898777856235816217937731
% SZS output start Proof for 1898777856235816217937731
2. ! [X0] : ((~generous(X0) <~> wise(X0)) => quiet(X0)) [input p1]
3. (~rich(mary) | ~calm(mary)) => (funny(lucy) & tall(lucy)) [input p2]
4. ! [X0] : ((~quiet(X0) & ~happy(X0)) => generous(X0)) [input p3]
11... | 0 |
Everyone who is either not patient or not wise is both wise and calm and vice versa.
If john is rich then someone is not tall and vice versa.
If someone is both tall and not rich then lucy is tall or not brave.
Everyone who is both not calm and wise is both not strong and curious and vice versa.
If alice is both strong... | Alice is not tall. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>(wise(X)&calm(X))))&
((rich(john))<=>(?[X]:(~tall(X))))&
((?[X]:((tall(X)&~rich(X))))=>((tall(lucy)|~brave(lucy))))&
(![X]:((~calm(X)&wise(X))<=>(~strong(X)&curious(X))))&
(((strong(alice)&old(alice)))=>(calm(susan)))&
(![X]:((generous(X)&~calm(X))=>~brave(X)))&
(![X]:((~kind(X)<~>tall... | ~tall(alice) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2206659280857460549949950
% SZS output start Proof for 2206659280857460549949950
1. ! [X0] : ((~patient(X0) <~> ~wise(X0)) <=> (calm(X0) & wise(X0))) [input p0]
10. ! [X0] : ((patient(X0) <~> tall(X0)) <=> (~tall(X0) | strong(X0))) [input p9]
14. ! [X0] : ((calm(X0) <~> wise(X0)) => (~str... | 0 |
If someone is not wise or not quiet then someone is both not humble and happy and vice versa.
If john is both creative and patient then someone is calm and vice versa.
Everyone who is not happy or not tall is patient and vice versa.
If someone is either kind or not patient then susan is generous or not patient.
Everyon... | John is happy. | contradiction | ((?[X]:((~wise(X)|~quiet(X))))<=>(?[X]:((~humble(X)&happy(X)))))&
(((creative(john)&patient(john)))<=>(?[X]:(calm(X))))&
(![X]:((~happy(X)|~tall(X))<=>patient(X)))&
((?[X]:((kind(X)<~>~patient(X))))=>((generous(susan)|~patient(susan))))&
(![X]:((~curious(X)|~kind(X))<=>(~kind(X)<~>wise(X))))&
((?[X]:((~rich(X)&~tall(X)... | happy(john) | [
"p1",
"p2",
"p5",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8589170513407873743835828
% SZS output start Proof for 8589170513407873743835828
2. (patient(john) & creative(john)) <=> ? [X0] : calm(X0) [input p1]
3. ! [X0] : ((~tall(X0) | ~happy(X0)) <=> patient(X0)) [input p2]
6. ? [X0] : (~tall(X0) & ~rich(X0)) <=> ? [X0] : ~calm(X0) [input p5]
16.... | 0 |
If someone is either funny or not calm then someone is both not rich and not funny. Everyone who is both kind and not patient is curious or not creative. Everyone who is tall is either tall or funny and vice versa. If someone is either not tall or not calm then john is not old or not generous. Everyone who is both crea... | Paul is funny. | contradiction | ((?[X]:((funny(X)<~>~calm(X))))=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((kind(X)&~patient(X))=>(curious(X)|~creative(X))))&
(![X]:(tall(X)<=>(tall(X)<~>funny(X))))&
((?[X]:((~tall(X)<~>~calm(X))))=>((~old(john)|~generous(john))))&
(![X]:((creative(X)&~generous(X))=>(strong(X)|kind(X))))&
((calm(fred))=>((~generous(alic... | funny(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1987038956044751897914372
% SZS output start Proof for 1987038956044751897914372
3. ! [X0] : (tall(X0) <=> (tall(X0) <~> funny(X0))) [input p2]
21. funny(paul) [input hypothesis]
42. ! [X0] : ((tall(X0) | ((tall(X0) | ~funny(X0)) & (funny(X0) | ~tall(X0)))) & (((~funny(X0) | ~tall(X0)) & ... | 0 |
Everyone who is patient or not creative is not wise. If someone is not strong then someone is not quiet or not strong. Everyone who is calm is either not rich or quiet. Everyone who is either not kind or happy is not strong. If someone is not strong then someone is tall and vice versa. Everyone who is both not old and ... | John is funny. | entailment | (![X]:((patient(X)|~creative(X))=>~wise(X)))&
((?[X]:(~strong(X)))=>(?[X]:((~quiet(X)|~strong(X)))))&
(![X]:(calm(X)=>(~rich(X)<~>quiet(X))))&
(![X]:((~kind(X)<~>happy(X))=>~strong(X)))&
((?[X]:(~strong(X)))<=>(?[X]:(tall(X))))&
(![X]:((~old(X)&~curious(X))<=>(kind(X)|~rich(X))))&
(![X]:((~generous(X)|wise(X))<=>quiet(... | funny(john) | [
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 181864720285019138779575
% SZS output start Proof for 181864720285019138779575
6. ! [X0] : ((~curious(X0) & ~old(X0)) <=> (~rich(X0) | kind(X0))) [input p5]
10. ! [X0] : ((~kind(X0) | ~patient(X0)) => (funny(X0) & ~happy(X0))) [input p9]
16. old(john) [input p15]
20. ~funny(john) [input h... | 0 |
Everyone who is either creative or not calm is humble and vice versa.
If someone is both not curious and patient then paul is both kind and funny and vice versa.
Everyone who is not creative or not generous is not funny or not kind.
If susan is not curious or wise then alice is humble.
Everyone who is either wise or no... | John is not quiet. | contradiction | (![X]:((creative(X)<~>~calm(X))<=>humble(X)))&
((?[X]:((~curious(X)&patient(X))))<=>((kind(paul)&funny(paul))))&
(![X]:((~creative(X)|~generous(X))=>(~funny(X)|~kind(X))))&
(((~curious(susan)|wise(susan)))=>(humble(alice)))&
(![X]:((wise(X)<~>~rich(X))=>(patient(X)&creative(X))))&
((?[X]:(~funny(X)))=>((~brave(alice)&o... | ~quiet(john) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6818202261402475067611541
% SZS output start Proof for 6818202261402475067611541
13. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (quiet(X0) & happy(X0))) [input p12]
23. ~quiet(john) [input hypothesis]
49. ! [X0] : (((~quiet(X0) | creative(X0)) | (~quiet(X0) | ~happy(X0))) & ((quiet(X0) & h... | 0 |
Everyone who is patient is not rich and vice versa. Everyone who is either not strong or tall is strong or not kind. Everyone who is either not happy or quiet is either not old or not brave. Everyone who is either not wise or creative is happy and vice versa. Everyone who is both not funny and calm is old or not tall a... | Lucy is not strong. | entailment | (![X]:(patient(X)<=>~rich(X)))&
(![X]:((~strong(X)<~>tall(X))=>(strong(X)|~kind(X))))&
(![X]:((~happy(X)<~>quiet(X))=>(~old(X)<~>~brave(X))))&
(![X]:((~wise(X)<~>creative(X))<=>happy(X)))&
(![X]:((~funny(X)&calm(X))<=>(old(X)|~tall(X))))&
(((~wise(paul)&~patient(paul)))=>(?[X]:((~funny(X)|wise(X)))))&
(((strong(fred)|h... | ~strong(lucy) | [
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6241939633014285862871104
% SZS output start Proof for 6241939633014285862871104
5. ! [X0] : ((calm(X0) & ~funny(X0)) <=> (~tall(X0) | old(X0))) [input p4]
11. ! [X0] : ((old(X0) & ~happy(X0)) <=> tall(X0)) [input p10]
13. (strong(lucy) & ~funny(lucy)) <=> ? [X0] : (~old(X0) & tall(X0)) [... | 0 |
If someone is both happy and not calm then someone is not quiet or old.
If fred is not curious or not patient then susan is funny or not humble.
If mary is not brave then someone is both not brave and rich and vice versa.
If someone is not funny or not humble then fred is not old.
If paul is either rich or not strong t... | Mary is tall. | contradiction | ((?[X]:((happy(X)&~calm(X))))=>(?[X]:((~quiet(X)|old(X)))))&
(((~curious(fred)|~patient(fred)))=>((funny(susan)|~humble(susan))))&
((~brave(mary))<=>(?[X]:((~brave(X)&rich(X)))))&
((?[X]:((~funny(X)|~humble(X))))=>(~old(fred)))&
(((rich(paul)<~>~strong(paul)))<=>((~brave(paul)|strong(paul))))&
((~strong(alice))<=>((cre... | tall(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6121196421714127013914332
% SZS output start Proof for 6121196421714127013914332
8. ! [X0] : (tall(X0) <=> (~tall(X0) & ~calm(X0))) [input p7]
23. tall(mary) [input hypothesis]
47. ! [X0] : ((tall(X0) | (tall(X0) | calm(X0))) & ((~tall(X0) & ~calm(X0)) | ~tall(X0))) [nnf transformation 8]... | 0 |
If fred is not funny then lucy is happy or not tall.
Everyone who is both humble and patient is generous or not generous.
Everyone who is either not patient or not tall is not quiet or patient.
If someone is both strong and curious then susan is both not strong and funny.
If fred is not quiet or not rich then paul is n... | Paul is strong. | entailment | ((~funny(fred))=>((happy(lucy)|~tall(lucy))))&
(![X]:((humble(X)&patient(X))=>(generous(X)|~generous(X))))&
(![X]:((~patient(X)<~>~tall(X))=>(~quiet(X)|patient(X))))&
((?[X]:((strong(X)&curious(X))))=>((~strong(susan)&funny(susan))))&
(((~quiet(fred)|~rich(fred)))=>((~funny(paul)|~curious(paul))))&
((?[X]:((~calm(X)|ge... | strong(paul) | [
"p15",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 826110401709018110384578
% SZS output start Proof for 826110401709018110384578
16. (brave(mary) & ~patient(mary)) <=> ? [X0] : (~creative(X0) & ~strong(X0)) [input p15]
19. ~brave(mary) [input p18]
23. ~brave(paul) & ~creative(paul) [input p22]
24. ~strong(paul) [input hypothesis]
63. ((b... | 0 |
If mary is either patient or generous then someone is not calm or not rich.
If someone is old or strong then lucy is both rich and calm and vice versa.
Everyone who is not tall or rich is either not quiet or not kind and vice versa.
Everyone who is not wise or not quiet is both kind and rich.
If alice is not creative o... | Fred is kind. | entailment | (((patient(mary)<~>generous(mary)))=>(?[X]:((~calm(X)|~rich(X)))))&
((?[X]:((old(X)|strong(X))))<=>((rich(lucy)&calm(lucy))))&
(![X]:((~tall(X)|rich(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:((~wise(X)|~quiet(X))=>(kind(X)&rich(X))))&
(((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generou... | kind(fred) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8569062509564553380250028
% SZS output start Proof for 8569062509564553380250028
2. ? [X0] : (strong(X0) | old(X0)) <=> (calm(lucy) & rich(lucy)) [input p1]
3. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (~quiet(X0) <~> ~kind(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | ~wise(X0)) => (rich(X0) & ... | 0 |
If john is both creative and quiet then mary is curious and vice versa.
If someone is either wise or kind then someone is both funny and calm and vice versa.
Everyone who is both rich and not calm is patient.
If mary is not brave or rich then susan is either generous or not old and vice versa.
If fred is both patient a... | Mary is not brave. | contradiction | (((creative(john)&quiet(john)))<=>(curious(mary)))&
((?[X]:((wise(X)<~>kind(X))))<=>(?[X]:((funny(X)&calm(X)))))&
(![X]:((rich(X)&~calm(X))=>patient(X)))&
(((~brave(mary)|rich(mary)))<=>((generous(susan)<~>~old(susan))))&
(((patient(fred)&~wise(fred)))=>(?[X]:((calm(X)&~quiet(X)))))&
(![X]:((~generous(X)&~tall(X))=>wis... | ~brave(mary) | [
"p3",
"p6",
"p10",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7492973767939085539222613
% SZS output start Proof for 7492973767939085539222613
4. (rich(mary) | ~brave(mary)) <=> (generous(susan) <~> ~old(susan)) [input p3]
7. ! [X0] : ((strong(X0) | ~calm(X0)) => (quiet(X0) & patient(X0))) [input p6]
11. ? [X0] : (old(X0) & ~patient(X0)) <=> (~calm(... | 0 |
Everyone who is not brave or not strong is either curious or not creative.
If someone is not brave then someone is either not happy or generous.
If paul is either humble or brave then someone is both humble and rich and vice versa.
Everyone who is not calm is both not curious and not kind and vice versa.
Everyone who i... | Susan is generous. | entailment | (![X]:((~brave(X)|~strong(X))=>(curious(X)<~>~creative(X))))&
((?[X]:(~brave(X)))=>(?[X]:((~happy(X)<~>generous(X)))))&
(((humble(paul)<~>brave(paul)))<=>(?[X]:((humble(X)&rich(X)))))&
(![X]:(~calm(X)<=>(~curious(X)&~kind(X))))&
(![X]:((~strong(X)|~generous(X))=>(kind(X)&happy(X))))&
(![X]:(~creative(X)=>(patient(X)|fu... | generous(susan) | [
"p3",
"p4",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3395877927787672170866027
% SZS output start Proof for 3395877927787672170866027
4. ! [X0] : (~calm(X0) <=> (~kind(X0) & ~curious(X0))) [input p3]
5. ! [X0] : ((~generous(X0) | ~strong(X0)) => (happy(X0) & kind(X0))) [input p4]
12. ! [X0] : (~strong(X0) <=> (~happy(X0) & rich(X0))) [input... | 0 |
If someone is not happy then fred is old. Everyone who is both not creative and not strong is both calm and brave. If someone is both patient and funny then paul is curious. Everyone who is not funny or not creative is both calm and funny and vice versa. Everyone who is generous is either not curious or not rich. If pa... | Alice is kind. | entailment | ((?[X]:(~happy(X)))=>(old(fred)))&
(![X]:((~creative(X)&~strong(X))=>(calm(X)&brave(X))))&
((?[X]:((patient(X)&funny(X))))=>(curious(paul)))&
(![X]:((~funny(X)|~creative(X))<=>(calm(X)&funny(X))))&
(![X]:(generous(X)=>(~curious(X)<~>~rich(X))))&
((~quiet(paul))=>((~creative(fred)<~>happy(fred))))&
(![X]:((~wise(X)<~>cu... | kind(alice) | [
"p3",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 733826262136326021929735
% SZS output start Proof for 733826262136326021929735
4. ! [X0] : ((~creative(X0) | ~funny(X0)) <=> (funny(X0) & calm(X0))) [input p3]
10. ? [X0] : (strong(X0) & ~creative(X0)) <=> ? [X0] : ~curious(X0) [input p9]
13. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p... | 0 |
Everyone who is either tall or not calm is not calm or strong.
Everyone who is both patient and brave is either curious or rich and vice versa.
Everyone who is either brave or old is either not happy or not funny and vice versa.
If fred is kind then someone is not generous and vice versa.
If someone is either patient o... | Susan is not humble. | neutral | (![X]:((tall(X)<~>~calm(X))=>(~calm(X)|strong(X))))&
(![X]:((patient(X)&brave(X))<=>(curious(X)<~>rich(X))))&
(![X]:((brave(X)<~>old(X))<=>(~happy(X)<~>~funny(X))))&
((kind(fred))<=>(?[X]:(~generous(X))))&
((?[X]:((patient(X)<~>~curious(X))))<=>((~curious(lucy)<~>~quiet(lucy))))&
((~creative(john))<=>((~wise(mary)&old(... | ~humble(susan) | [] | null | 0 |
If mary is both not kind and not happy then someone is wise. Everyone who is either not tall or not patient is either not curious or not old. If alice is either funny or brave then someone is not creative or generous and vice versa. If susan is calm or not patient then paul is both not curious and calm. Everyone who is... | Fred is happy. | neutral | (((~kind(mary)&~happy(mary)))=>(?[X]:(wise(X))))&
(![X]:((~tall(X)<~>~patient(X))=>(~curious(X)<~>~old(X))))&
(((funny(alice)<~>brave(alice)))<=>(?[X]:((~creative(X)|generous(X)))))&
(((calm(susan)|~patient(susan)))=>((~curious(paul)&calm(paul))))&
(![X]:((~wise(X)<~>calm(X))<=>~calm(X)))&
(((~wise(alice)<~>calm(alice)... | happy(fred) | [] | null | 0 |
If paul is either not calm or not rich then john is both generous and rich.
If alice is either not generous or not curious then someone is either not calm or quiet and vice versa.
If someone is not kind then lucy is quiet and vice versa.
If someone is generous or not happy then someone is both generous and not funny an... | Mary is creative. | neutral | (((~calm(paul)<~>~rich(paul)))=>((generous(john)&rich(john))))&
(((~generous(alice)<~>~curious(alice)))<=>(?[X]:((~calm(X)<~>quiet(X)))))&
((?[X]:(~kind(X)))<=>(quiet(lucy)))&
((?[X]:((generous(X)|~happy(X))))<=>(?[X]:((generous(X)&~funny(X)))))&
(![X]:((~calm(X)|~funny(X))<=>generous(X)))&
((?[X]:((kind(X)<~>happy(X))... | creative(mary) | [] | null | 0 |
If alice is not tall then mary is not creative or creative.
Everyone who is humble is either not kind or funny and vice versa.
If fred is strong or not tall then someone is generous and vice versa.
If susan is strong then alice is tall or not old and vice versa.
If alice is both generous and not wise then lucy is not q... | Fred is not happy. | neutral | ((~tall(alice))=>((~creative(mary)|creative(mary))))&
(![X]:(humble(X)<=>(~kind(X)<~>funny(X))))&
(((strong(fred)|~tall(fred)))<=>(?[X]:(generous(X))))&
((strong(susan))<=>((tall(alice)|~old(alice))))&
(((generous(alice)&~wise(alice)))<=>(~quiet(lucy)))&
(![X]:(~tall(X)<=>~calm(X)))&
(((~humble(paul)&~patient(paul)))<=... | ~happy(fred) | [] | null | 0 |
Everyone who is not tall or happy is both not generous and quiet and vice versa.
If susan is both humble and not funny then alice is not wise.
If someone is brave then someone is both not old and not tall.
If fred is both not curious and not kind then someone is not humble.
If john is not humble then someone is rich an... | Mary is not funny. | neutral | (![X]:((~tall(X)|happy(X))<=>(~generous(X)&quiet(X))))&
(((humble(susan)&~funny(susan)))=>(~wise(alice)))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&~tall(X)))))&
(((~curious(fred)&~kind(fred)))=>(?[X]:(~humble(X))))&
((~humble(john))<=>(?[X]:(rich(X))))&
(![X]:((strong(X)|~rich(X))=>(~wise(X)<~>~old(X))))&
(![X]:(~creative(... | ~funny(mary) | [] | null | 0 |
Everyone who is not patient or wise is both strong and not wise.
If fred is not humble then someone is not kind or not creative.
Everyone who is either quiet or humble is wise.
Everyone who is brave is not calm.
If susan is not generous or generous then someone is both strong and generous and vice versa.
Everyone who i... | John is not curious. | neutral | (![X]:((~patient(X)|wise(X))=>(strong(X)&~wise(X))))&
((~humble(fred))=>(?[X]:((~kind(X)|~creative(X)))))&
(![X]:((quiet(X)<~>humble(X))=>wise(X)))&
(![X]:(brave(X)=>~calm(X)))&
(((~generous(susan)|generous(susan)))<=>(?[X]:((strong(X)&generous(X)))))&
(![X]:((calm(X)&~creative(X))<=>(~funny(X)<~>~strong(X))))&
(((rich... | ~curious(john) | [] | null | 0 |
If alice is not old then someone is happy.
Everyone who is old is not kind or not curious and vice versa.
If someone is both not quiet and not patient then mary is not strong and vice versa.
If someone is not patient or old then mary is kind and vice versa.
If alice is not strong or not old then someone is not wise and... | Paul is not quiet. | neutral | ((~old(alice))=>(?[X]:(happy(X))))&
(![X]:(old(X)<=>(~kind(X)|~curious(X))))&
((?[X]:((~quiet(X)&~patient(X))))<=>(~strong(mary)))&
((?[X]:((~patient(X)|old(X))))<=>(kind(mary)))&
(((~strong(alice)|~old(alice)))<=>(?[X]:(~wise(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((happy(X)|~wise(X)))))&
((?[X]:(~funny(X)))=>(?[X]:((tall(... | ~quiet(paul) | [] | null | 0 |
If someone is either not happy or not funny then paul is not quiet or not generous and vice versa. Everyone who is quiet is calm or not kind and vice versa. If someone is both kind and not curious then john is wise and vice versa. Everyone who is calm is tall or not brave. If fred is both tall and not happy then john i... | Paul is not old. | neutral | ((?[X]:((~happy(X)<~>~funny(X))))<=>((~quiet(paul)|~generous(paul))))&
(![X]:(quiet(X)<=>(calm(X)|~kind(X))))&
((?[X]:((kind(X)&~curious(X))))<=>(wise(john)))&
(![X]:(calm(X)=>(tall(X)|~brave(X))))&
(((tall(fred)&~happy(fred)))<=>(creative(john)))&
((humble(john))<=>((~funny(alice)&~wise(alice))))&
(![X]:((tall(X)|brav... | ~old(paul) | [] | null | 0 |
Everyone who is both not old and not calm is either not tall or not happy and vice versa. Everyone who is not kind or not funny is either wise or not funny and vice versa. Everyone who is either quiet or not kind is quiet or kind. If alice is not patient then mary is either creative or not brave. Everyone who is both t... | Lucy is not strong. | contradiction | (![X]:((~old(X)&~calm(X))<=>(~tall(X)<~>~happy(X))))&
(![X]:((~kind(X)|~funny(X))<=>(wise(X)<~>~funny(X))))&
(![X]:((quiet(X)<~>~kind(X))=>(quiet(X)|kind(X))))&
((~patient(alice))=>((creative(mary)<~>~brave(mary))))&
(![X]:((tall(X)&strong(X))<=>(brave(X)&generous(X))))&
(![X]:((funny(X)|~wise(X))<=>(tall(X)&rich(X))))... | ~strong(lucy) | [
"p5",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4807024337343398920599109
% SZS output start Proof for 4807024337343398920599109
6. ! [X0] : ((~wise(X0) | funny(X0)) <=> (rich(X0) & tall(X0))) [input p5]
8. ! [X0] : (tall(X0) <=> (humble(X0) & strong(X0))) [input p7]
18. funny(lucy) [input p17]
22. ~strong(lucy) [input hypothesis]
46. ... | 0 |
If lucy is both not brave and patient then mary is both not quiet and not strong and vice versa. If alice is not kind or strong then someone is both not wise and not calm. Everyone who is both patient and old is strong or not kind and vice versa. Everyone who is either brave or not generous is creative and vice versa. ... | Mary is not brave. | neutral | (((~brave(lucy)&patient(lucy)))<=>((~quiet(mary)&~strong(mary))))&
(((~kind(alice)|strong(alice)))=>(?[X]:((~wise(X)&~calm(X)))))&
(![X]:((patient(X)&old(X))<=>(strong(X)|~kind(X))))&
(![X]:((brave(X)<~>~generous(X))<=>creative(X)))&
(![X]:((curious(X)|~strong(X))=>(~tall(X)&~quiet(X))))&
(![X]:((~happy(X)|curious(X))<... | ~brave(mary) | [] | null | 0 |
Everyone who is not happy is either rich or not curious and vice versa. Everyone who is either brave or funny is not kind. Everyone who is not funny or generous is both not happy and happy and vice versa. Everyone who is quiet or wise is rich or not curious and vice versa. Everyone who is quiet is either quiet or happy... | Paul is kind. | contradiction | (![X]:(~happy(X)<=>(rich(X)<~>~curious(X))))&
(![X]:((brave(X)<~>funny(X))=>~kind(X)))&
(![X]:((~funny(X)|generous(X))<=>(~happy(X)&happy(X))))&
(![X]:((quiet(X)|wise(X))<=>(rich(X)|~curious(X))))&
(![X]:(quiet(X)<=>(quiet(X)<~>happy(X))))&
(![X]:(brave(X)=>(happy(X)&~rich(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(~curio... | kind(paul) | [
"p1",
"p2",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 80271746247419053306127
% SZS output start Proof for 80271746247419053306127
2. ! [X0] : ((brave(X0) <~> funny(X0)) => ~kind(X0)) [input p1]
3. ! [X0] : ((generous(X0) | ~funny(X0)) <=> (happy(X0) & ~happy(X0))) [input p2]
5. ! [X0] : (quiet(X0) <=> (quiet(X0) <~> happy(X0))) [input p4]
6... | 0 |
Everyone who is either kind or creative is both tall and funny and vice versa.
Everyone who is either curious or not calm is not brave.
If fred is kind or not creative then someone is kind or brave.
Everyone who is old is brave and vice versa.
Everyone who is not old or not curious is either not creative or not brave.
... | Paul is not humble. | contradiction | (![X]:((kind(X)<~>creative(X))<=>(tall(X)&funny(X))))&
(![X]:((curious(X)<~>~calm(X))=>~brave(X)))&
(((kind(fred)|~creative(fred)))=>(?[X]:((kind(X)|brave(X)))))&
(![X]:(old(X)<=>brave(X)))&
(![X]:((~old(X)|~curious(X))=>(~creative(X)<~>~brave(X))))&
((?[X]:((~patient(X)&~humble(X))))=>((happy(mary)&~quiet(mary))))&
((... | ~humble(paul) | [
"p5",
"p6",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7992578038355443189210126
% SZS output start Proof for 7992578038355443189210126
6. ? [X0] : (~humble(X0) & ~patient(X0)) => (~quiet(mary) & happy(mary)) [input p5]
7. ? [X0] : ~humble(X0) <=> (~creative(paul) & ~patient(paul)) [input p6]
9. ? [X0] : (~quiet(X0) | creative(X0)) => ? [X0] ... | 0 |
Everyone who is not kind is not strong or not kind. If lucy is calm then alice is either not patient or generous. If someone is funny then someone is both humble and not curious. If alice is strong or wise then mary is not brave or not kind. Everyone who is either not creative or not quiet is rich or brave and vice ver... | Susan is brave. | contradiction | (![X]:(~kind(X)=>(~strong(X)|~kind(X))))&
((calm(lucy))=>((~patient(alice)<~>generous(alice))))&
((?[X]:(funny(X)))=>(?[X]:((humble(X)&~curious(X)))))&
(((strong(alice)|wise(alice)))=>((~brave(mary)|~kind(mary))))&
(![X]:((~creative(X)<~>~quiet(X))<=>(rich(X)|brave(X))))&
(![X]:((strong(X)&~kind(X))<=>(~old(X)&quiet(X)... | brave(susan) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5955970967918665786356027
% SZS output start Proof for 5955970967918665786356027
5. ! [X0] : ((~creative(X0) <~> ~quiet(X0)) <=> (brave(X0) | rich(X0))) [input p4]
7. ! [X0] : ((creative(X0) | ~quiet(X0)) <=> (~quiet(X0) <~> brave(X0))) [input p6]
24. brave(susan) [input hypothesis]
45. !... | 0 |
Everyone who is not strong is not patient and vice versa. Everyone who is not old or not creative is both generous and not strong. Everyone who is both wise and strong is not funny and vice versa. Everyone who is not happy or creative is both curious and quiet and vice versa. Everyone who is either not happy or not cal... | Mary is calm. | entailment | (![X]:(~strong(X)<=>~patient(X)))&
(![X]:((~old(X)|~creative(X))=>(generous(X)&~strong(X))))&
(![X]:((wise(X)&strong(X))<=>~funny(X)))&
(![X]:((~happy(X)|creative(X))<=>(curious(X)&quiet(X))))&
(![X]:((~happy(X)<~>~calm(X))=>brave(X)))&
(((~funny(lucy)<~>~curious(lucy)))=>((funny(susan)&strong(susan))))&
(![X]:((~stron... | calm(mary) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 580906722850567744470292
% SZS output start Proof for 580906722850567744470292
1. ! [X0] : (~strong(X0) <=> ~patient(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~old(X0)) => (~strong(X0) & generous(X0))) [input p1]
3. ! [X0] : ((strong(X0) & wise(X0)) <=> ~funny(X0)) [input p2]
4. ! [X0... | 0 |
If someone is either not calm or calm then someone is not happy. Everyone who is not kind is old or kind. Everyone who is either old or not patient is either not humble or not quiet and vice versa. Everyone who is both generous and not strong is not old and vice versa. Everyone who is not old is rich or strong and vice... | Paul is not patient. | neutral | ((?[X]:((~calm(X)<~>calm(X))))=>(?[X]:(~happy(X))))&
(![X]:(~kind(X)=>(old(X)|kind(X))))&
(![X]:((old(X)<~>~patient(X))<=>(~humble(X)<~>~quiet(X))))&
(![X]:((generous(X)&~strong(X))<=>~old(X)))&
(![X]:(~old(X)<=>(rich(X)|strong(X))))&
(![X]:((~kind(X)<~>~tall(X))=>(strong(X)|~happy(X))))&
(![X]:((brave(X)<~>~wise(X))<=... | ~patient(paul) | [] | null | 0 |
Everyone who is both generous and not quiet is either old or strong and vice versa. If alice is both creative and curious then susan is either rich or quiet. Everyone who is happy is not quiet or old and vice versa. Everyone who is either brave or patient is both generous and not happy. If someone is calm then someone ... | Lucy is quiet. | entailment | (![X]:((generous(X)&~quiet(X))<=>(old(X)<~>strong(X))))&
(((creative(alice)&curious(alice)))=>((rich(susan)<~>quiet(susan))))&
(![X]:(happy(X)<=>(~quiet(X)|old(X))))&
(![X]:((brave(X)<~>patient(X))=>(generous(X)&~happy(X))))&
((?[X]:(calm(X)))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((old(X)&~funny(X))<=>(strong(X)|~... | quiet(lucy) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p7",
"p9",
"p11",
"p12",
"p13",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3997416684414598945382091
% SZS output start Proof for 3997416684414598945382091
1. ! [X0] : ((~quiet(X0) & generous(X0)) <=> (old(X0) <~> strong(X0))) [input p0]
3. ! [X0] : (happy(X0) <=> (old(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((brave(X0) <~> patient(X0)) => (~happy(X0) & genero... | 0 |
If someone is both curious and patient then someone is not quiet.
If susan is either calm or curious then someone is either tall or funny and vice versa.
If someone is either old or happy then lucy is not old and vice versa.
If john is happy then someone is both not calm and not patient and vice versa.
If lucy is not b... | Susan is not quiet. | neutral | ((?[X]:((curious(X)&patient(X))))=>(?[X]:(~quiet(X))))&
(((calm(susan)<~>curious(susan)))<=>(?[X]:((tall(X)<~>funny(X)))))&
((?[X]:((old(X)<~>happy(X))))<=>(~old(lucy)))&
((happy(john))<=>(?[X]:((~calm(X)&~patient(X)))))&
(((~brave(lucy)|~quiet(lucy)))=>((~quiet(susan)|strong(susan))))&
(![X]:(~funny(X)<=>(strong(X)&~h... | ~quiet(susan) | [] | null | 0 |
If susan is both humble and not creative then fred is curious or not wise and vice versa.
Everyone who is either generous or not creative is not calm and vice versa.
Everyone who is not generous is both not curious and not wise and vice versa.
If someone is either not curious or not brave then mary is not quiet or not ... | Alice is not curious. | neutral | (((humble(susan)&~creative(susan)))<=>((curious(fred)|~wise(fred))))&
(![X]:((generous(X)<~>~creative(X))<=>~calm(X)))&
(![X]:(~generous(X)<=>(~curious(X)&~wise(X))))&
((?[X]:((~curious(X)<~>~brave(X))))<=>((~quiet(mary)|~tall(mary))))&
(![X]:((~strong(X)|rich(X))<=>(curious(X)&~curious(X))))&
(((~kind(alice)<~>quiet(a... | ~curious(alice) | [] | null | 0 |
If someone is calm then paul is not calm or humble and vice versa.
Everyone who is quiet is humble and vice versa.
If someone is not strong or not calm then paul is not quiet.
If someone is either not funny or not humble then paul is both not tall and not humble and vice versa.
Everyone who is not quiet is both not fun... | Paul is humble. | neutral | ((?[X]:(calm(X)))<=>((~calm(paul)|humble(paul))))&
(![X]:(quiet(X)<=>humble(X)))&
((?[X]:((~strong(X)|~calm(X))))=>(~quiet(paul)))&
((?[X]:((~funny(X)<~>~humble(X))))<=>((~tall(paul)&~humble(paul))))&
(![X]:(~quiet(X)<=>(~funny(X)&wise(X))))&
(![X]:((~generous(X)&~tall(X))<=>(brave(X)|wise(X))))&
((?[X]:((curious(X)&~k... | humble(paul) | [] | null | 0 |
Everyone who is either wise or generous is both not wise and wise and vice versa.
If fred is either not wise or generous then alice is either not quiet or calm and vice versa.
Everyone who is either not kind or calm is both calm and happy and vice versa.
Everyone who is either not kind or patient is both not happy and ... | Lucy is generous. | contradiction | (![X]:((wise(X)<~>generous(X))<=>(~wise(X)&wise(X))))&
(((~wise(fred)<~>generous(fred)))<=>((~quiet(alice)<~>calm(alice))))&
(![X]:((~kind(X)<~>calm(X))<=>(calm(X)&happy(X))))&
(![X]:((~kind(X)<~>patient(X))=>(~happy(X)&generous(X))))&
((?[X]:(~old(X)))<=>((~generous(lucy)|kind(lucy))))&
(![X]:((tall(X)<~>old(X))=>(~ge... | generous(lucy) | [
"p0",
"p2",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1375313088957323040323846
% SZS output start Proof for 1375313088957323040323846
1. ! [X0] : ((wise(X0) <~> generous(X0)) <=> (wise(X0) & ~wise(X0))) [input p0]
3. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (happy(X0) & calm(X0))) [input p2]
9. ! [X0] : ((wise(X0) | funny(X0)) <=> (~calm(X0) ... | 0 |
Everyone who is both not curious and brave is not generous. If john is both not wise and not generous then someone is either not funny or not curious. Everyone who is old is not tall. Everyone who is both tall and not humble is rich or happy and vice versa. Everyone who is either not kind or not happy is both kind and ... | Fred is not tall. | contradiction | (![X]:((~curious(X)&brave(X))=>~generous(X)))&
(((~wise(john)&~generous(john)))=>(?[X]:((~funny(X)<~>~curious(X)))))&
(![X]:(old(X)=>~tall(X)))&
(![X]:((tall(X)&~humble(X))<=>(rich(X)|happy(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(kind(X)&~wise(X))))&
(((~wise(fred)<~>~tall(fred)))<=>((~kind(paul)|happy(paul))))&
(![X]:... | ~tall(fred) | [
"p5",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3741874136739210386380498
% SZS output start Proof for 3741874136739210386380498
6. (~wise(fred) <~> ~tall(fred)) <=> (happy(paul) | ~kind(paul)) [input p5]
14. ! [X0] : ((generous(X0) | ~kind(X0)) <=> ~generous(X0)) [input p13]
16. ? [X0] : (wise(X0) | ~patient(X0)) => ? [X0] : (~curious... | 0 |
Everyone who is either strong or brave is not humble or not rich. If someone is both kind and not kind then someone is kind or calm. If susan is both not generous and not kind then mary is not tall or not old and vice versa. Everyone who is not quiet is either not wise or not happy. Everyone who is not quiet is not cre... | Fred is kind. | entailment | (![X]:((strong(X)<~>brave(X))=>(~humble(X)|~rich(X))))&
((?[X]:((kind(X)&~kind(X))))=>(?[X]:((kind(X)|calm(X)))))&
(((~generous(susan)&~kind(susan)))<=>((~tall(mary)|~old(mary))))&
(![X]:(~quiet(X)=>(~wise(X)<~>~happy(X))))&
(![X]:(~quiet(X)=>(~creative(X)|~calm(X))))&
((~generous(susan))<=>((~strong(alice)|funny(alice... | kind(fred) | [
"p8",
"p10",
"p12",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8704358082013502154670016
% SZS output start Proof for 8704358082013502154670016
9. ! [X0] : ((kind(X0) | humble(X0)) <=> (brave(X0) | tall(X0))) [input p8]
11. ? [X0] : old(X0) <=> (tall(fred) <~> strong(fred)) [input p10]
13. ! [X0] : ((~curious(X0) | curious(X0)) <=> (~creative(X0) & ~... | 0 |
If someone is not humble then someone is either funny or happy and vice versa.
Everyone who is not patient is both old and funny and vice versa.
Everyone who is both not generous and strong is both rich and wise.
If someone is old then fred is both curious and not quiet and vice versa.
Everyone who is generous or not h... | Susan is humble. | contradiction | ((?[X]:(~humble(X)))<=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:(~patient(X)<=>(old(X)&funny(X))))&
(![X]:((~generous(X)&strong(X))=>(rich(X)&wise(X))))&
((?[X]:(old(X)))<=>((curious(fred)&~quiet(fred))))&
(![X]:((generous(X)|~happy(X))=>(creative(X)&~generous(X))))&
(![X]:((funny(X)&rich(X))<=>(~wise(X)&~happy(X))))&
((... | humble(susan) | [
"p4",
"p7",
"p8",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 375852312395971097475054
% SZS output start Proof for 375852312395971097475054
5. ! [X0] : ((~happy(X0) | generous(X0)) => (~generous(X0) & creative(X0))) [input p4]
8. ! [X0] : (~generous(X0) <=> (wise(X0) <~> brave(X0))) [input p7]
9. ? [X0] : ~brave(X0) <=> happy(susan) [input p8]
12. ... | 0 |
If fred is both not brave and generous then someone is not rich or not quiet and vice versa.
If john is either creative or not brave then someone is both kind and generous.
If someone is not quiet or not strong then fred is not wise.
Everyone who is not tall is generous or strong.
Everyone who is either quiet or funny ... | Mary is quiet. | entailment | (((~brave(fred)&generous(fred)))<=>(?[X]:((~rich(X)|~quiet(X)))))&
(((creative(john)<~>~brave(john)))=>(?[X]:((kind(X)&generous(X)))))&
((?[X]:((~quiet(X)|~strong(X))))=>(~wise(fred)))&
(![X]:(~tall(X)=>(generous(X)|strong(X))))&
(![X]:((quiet(X)<~>funny(X))<=>~creative(X)))&
(![X]:((happy(X)|~tall(X))=>(strong(X)<~>~h... | quiet(mary) | [
"p0",
"p5",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 532386710398920211264948
% SZS output start Proof for 532386710398920211264948
1. (generous(fred) & ~brave(fred)) <=> ? [X0] : (~quiet(X0) | ~rich(X0)) [input p0]
6. ! [X0] : ((~tall(X0) | happy(X0)) => (strong(X0) <~> ~happy(X0))) [input p5]
10. ! [X0] : ((~patient(X0) <~> ~happy(X0)) =>... | 0 |
Everyone who is not curious or not funny is either tall or strong and vice versa. If someone is either funny or not brave then mary is patient and vice versa. If fred is not rich or not kind then susan is both old and not old. If someone is either happy or not curious then someone is both not brave and brave. If someon... | Susan is quiet. | contradiction | (![X]:((~curious(X)|~funny(X))<=>(tall(X)<~>strong(X))))&
((?[X]:((funny(X)<~>~brave(X))))<=>(patient(mary)))&
(((~rich(fred)|~kind(fred)))=>((old(susan)&~old(susan))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:((~brave(X)&brave(X)))))&
((?[X]:((~curious(X)|creative(X))))=>(?[X]:(~creative(X))))&
((?[X]:((happy(X)|~ca... | quiet(susan) | [
"p3",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8345538521722637434677852
% SZS output start Proof for 8345538521722637434677852
4. ? [X0] : (happy(X0) <~> ~curious(X0)) => ? [X0] : (brave(X0) & ~brave(X0)) [input p3]
6. ? [X0] : (~calm(X0) | happy(X0)) <=> ~quiet(susan) [input p5]
20. calm(paul) & ~curious(paul) [input p19]
23. quiet(... | 0 |
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