premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both humble and brave is not patient or old and vice versa.
If someone is both tall and generous then someone is either humble or not funny and vice versa.
If mary is both funny and not patient then mary is both patient and not brave.
If someone is patient then alice is both not brave and kind and vice ... | Alice is happy. | neutral | (![X]:((humble(X)&brave(X))<=>(~patient(X)|old(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((funny(mary)&~patient(mary)))=>((patient(mary)&~brave(mary))))&
((?[X]:(patient(X)))<=>((~brave(alice)&kind(alice))))&
((~generous(susan))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:(~kind(X)<=>(~b... | happy(alice) | [] | null | 0 |
Everyone who is not wise is both humble and not curious and vice versa.
If someone is both happy and curious then someone is either not patient or not generous.
If lucy is old then fred is either calm or not strong and vice versa.
If paul is both not generous and not tall then someone is either not tall or not strong a... | John is rich. | neutral | (![X]:(~wise(X)<=>(humble(X)&~curious(X))))&
((?[X]:((happy(X)&curious(X))))=>(?[X]:((~patient(X)<~>~generous(X)))))&
((old(lucy))<=>((calm(fred)<~>~strong(fred))))&
(((~generous(paul)&~tall(paul)))<=>(?[X]:((~tall(X)<~>~strong(X)))))&
(((~curious(john)<~>~wise(john)))<=>(?[X]:((~calm(X)&curious(X)))))&
(((~brave(susan... | rich(john) | [] | null | 0 |
Everyone who is both not happy and wise is both strong and rich and vice versa.
Everyone who is not old is kind or not generous and vice versa.
If someone is old then alice is both not brave and funny and vice versa.
Everyone who is both funny and calm is either tall or not tall and vice versa.
If someone is kind or no... | Alice is kind. | contradiction | (![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))&
((?[X]:(old(X)))<=>((~brave(alice)&funny(alice))))&
(![X]:((funny(X)&calm(X))<=>(tall(X)<~>~tall(X))))&
((?[X]:((kind(X)|~generous(X))))<=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:((generous(X)|calm(X))<=>(~patient(X)|brave(... | kind(alice) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4005101233808178866585571
% SZS output start Proof for 4005101233808178866585571
5. ? [X0] : (~generous(X0) | kind(X0)) <=> ? [X0] : (curious(X0) & ~curious(X0)) [input p4]
21. kind(alice) [input hypothesis]
22. ? [X0] : (~generous(X0) | kind(X0)) <=> ? [X1] : (curious(X1) & ~curious(X1))... | 0 |
Everyone who is not rich or not brave is not patient and vice versa. Everyone who is not strong is not wise or not brave. If someone is either rich or happy then someone is either brave or not patient and vice versa. If someone is not happy then someone is both generous and not brave and vice versa. If someone is eithe... | John is not brave. | entailment | (![X]:((~rich(X)|~brave(X))<=>~patient(X)))&
(![X]:(~strong(X)=>(~wise(X)|~brave(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((brave(X)<~>~patient(X)))))&
((?[X]:(~happy(X)))<=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((brave(X)<~>curious(X))))=>(?[X]:(~tall(X))))&
(((~brave(mary)|wise(mary)))=>((kind(paul)&~wise(pa... | ~brave(john) | [
"p0",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 472253698320113572730238
% SZS output start Proof for 472253698320113572730238
1. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> ~patient(X0)) [input p0]
9. ! [X0] : (calm(X0) => (~funny(X0) & ~calm(X0))) [input p8]
11. ! [X0] : ((patient(X0) | curious(X0)) <=> (~wise(X0) & calm(X0))) [input p10]... | 0 |
If someone is both generous and not rich then susan is strong.
If susan is not brave then lucy is both not patient and patient.
Everyone who is either humble or rich is either humble or not creative and vice versa.
If mary is old then someone is not quiet.
If someone is either quiet or generous then john is happy.
If s... | Mary is not curious. | contradiction | ((?[X]:((generous(X)&~rich(X))))=>(strong(susan)))&
((~brave(susan))=>((~patient(lucy)&patient(lucy))))&
(![X]:((humble(X)<~>rich(X))<=>(humble(X)<~>~creative(X))))&
((old(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((quiet(X)<~>generous(X))))=>(happy(john)))&
((?[X]:(~generous(X)))<=>(?[X]:((funny(X)|kind(X)))))&
((calm(paul)... | ~curious(mary) | [
"p1",
"p6",
"p7",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9215890069812186994600640
% SZS output start Proof for 9215890069812186994600640
2. ~brave(susan) => (patient(lucy) & ~patient(lucy)) [input p1]
7. calm(paul) <=> ~brave(susan) [input p6]
8. ! [X0] : ((~brave(X0) & calm(X0)) <=> (creative(X0) & ~kind(X0))) [input p7]
11. curious(mary) <=>... | 0 |
Everyone who is either creative or not wise is both old and strong and vice versa.
If someone is wise or not brave then paul is both not quiet and not brave and vice versa.
If mary is either creative or not funny then someone is strong or not patient.
Everyone who is both not calm and humble is kind or humble.
Everyone... | Paul is wise. | contradiction | (![X]:((creative(X)<~>~wise(X))<=>(old(X)&strong(X))))&
((?[X]:((wise(X)|~brave(X))))<=>((~quiet(paul)&~brave(paul))))&
(((creative(mary)<~>~funny(mary)))=>(?[X]:((strong(X)|~patient(X)))))&
(![X]:((~calm(X)&humble(X))=>(kind(X)|humble(X))))&
(![X]:((rich(X)|~rich(X))=>(strong(X)|~wise(X))))&
(![X]:((old(X)&strong(X))<... | wise(paul) | [
"p0",
"p1",
"p4",
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8780882882260583668140406
% SZS output start Proof for 8780882882260583668140406
1. ! [X0] : ((creative(X0) <~> ~wise(X0)) <=> (strong(X0) & old(X0))) [input p0]
2. ? [X0] : (~brave(X0) | wise(X0)) <=> (~brave(paul) & ~quiet(paul)) [input p1]
5. ! [X0] : ((~rich(X0) | rich(X0)) => (~wise(... | 0 |
If someone is both not old and not patient then someone is quiet and vice versa.
If someone is either humble or kind then fred is either generous or not old and vice versa.
If someone is either generous or old then someone is either funny or humble and vice versa.
If someone is not brave then someone is either humble o... | Lucy is humble. | contradiction | ((?[X]:((~old(X)&~patient(X))))<=>(?[X]:(quiet(X))))&
((?[X]:((humble(X)<~>kind(X))))<=>((generous(fred)<~>~old(fred))))&
((?[X]:((generous(X)<~>old(X))))<=>(?[X]:((funny(X)<~>humble(X)))))&
((?[X]:(~brave(X)))<=>(?[X]:((humble(X)<~>rich(X)))))&
(((~funny(lucy)<~>~old(lucy)))<=>(?[X]:((~quiet(X)&strong(X)))))&
(![X]:((... | humble(lucy) | [
"p5",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8081821823649945376745248
% SZS output start Proof for 8081821823649945376745248
6. ! [X0] : ((~wise(X0) <~> humble(X0)) => (~patient(X0) & ~curious(X0))) [input p5]
9. ! [X0] : ((~wise(X0) | creative(X0)) <=> ~strong(X0)) [input p8]
17. curious(lucy) & strong(lucy) [input p16]
25. humble... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is generous and vice versa.
Everyone who is both curious and not strong is not wise.
If someone is either not patient or old then someone is not rich and vice versa.
Everyone who is either not brave or kind ... | John is not generous. | entailment | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(generous(X))))&
(![X]:((curious(X)&~strong(X))=>~wise(X)))&
((?[X]:((~patient(X)<~>old(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fre... | ~generous(john) | [
"p0",
"p1",
"p3",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5469520392781884795784797
% SZS output start Proof for 5469520392781884795784797
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
2. ~creative(alice) <=> ? [X0] : generous(X0) [input p1]
4. ? [X0] : (~patient(X0) <~> old(X0)) <=> ? [X0] : ~rich(X0) [input p3]
... | 0 |
Everyone who is not strong is not rich.
Everyone who is patient or kind is humble or not tall.
Everyone who is either not humble or not wise is both calm and curious and vice versa.
Everyone who is both not tall and creative is creative or wise and vice versa.
Everyone who is calm or creative is not brave and vice vers... | Fred is not old. | entailment | (![X]:(~strong(X)=>~rich(X)))&
(![X]:((patient(X)|kind(X))=>(humble(X)|~tall(X))))&
(![X]:((~humble(X)<~>~wise(X))<=>(calm(X)&curious(X))))&
(![X]:((~tall(X)&creative(X))<=>(creative(X)|wise(X))))&
(![X]:((calm(X)|creative(X))<=>~brave(X)))&
(![X]:(~patient(X)=>funny(X)))&
(![X]:((~patient(X)<~>~generous(X))=>(~funny(X... | ~old(fred) | [
"p3",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 850654470248874552418288
% SZS output start Proof for 850654470248874552418288
4. ! [X0] : ((creative(X0) & ~tall(X0)) <=> (wise(X0) | creative(X0))) [input p3]
9. ! [X0] : (old(X0) => wise(X0)) [input p8]
12. ! [X0] : ((happy(X0) | ~happy(X0)) => (rich(X0) & brave(X0))) [input p11]
13. !... | 0 |
If someone is creative or not curious then lucy is not brave and vice versa.
If paul is either brave or happy then someone is both not creative and curious and vice versa.
Everyone who is either patient or not humble is not curious.
Everyone who is not strong is both quiet and not happy.
If someone is either not genero... | John is creative. | neutral | ((?[X]:((creative(X)|~curious(X))))<=>(~brave(lucy)))&
(((brave(paul)<~>happy(paul)))<=>(?[X]:((~creative(X)&curious(X)))))&
(![X]:((patient(X)<~>~humble(X))=>~curious(X)))&
(![X]:(~strong(X)=>(quiet(X)&~happy(X))))&
((?[X]:((~generous(X)<~>humble(X))))=>((happy(mary)|quiet(mary))))&
(((~humble(paul)&humble(paul)))=>(?... | creative(john) | [] | null | 0 |
Everyone who is either not rich or not happy is both not brave and not rich. Everyone who is not kind or wise is both not calm and wise. Everyone who is humble is both quiet and not patient. If alice is both not patient and brave then lucy is humble and vice versa. If someone is creative or not happy then mary is not q... | Mary is wise. | entailment | (![X]:((~rich(X)<~>~happy(X))=>(~brave(X)&~rich(X))))&
(![X]:((~kind(X)|wise(X))=>(~calm(X)&wise(X))))&
(![X]:(humble(X)=>(quiet(X)&~patient(X))))&
(((~patient(alice)&brave(alice)))<=>(humble(lucy)))&
((?[X]:((creative(X)|~happy(X))))<=>((~quiet(mary)|patient(mary))))&
(![X]:((strong(X)&generous(X))=>~tall(X)))&
(((~cr... | wise(mary) | [
"p0",
"p1",
"p2",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8020562077320717234238123
% SZS output start Proof for 8020562077320717234238123
1. ! [X0] : ((~rich(X0) <~> ~happy(X0)) => (~rich(X0) & ~brave(X0))) [input p0]
2. ! [X0] : ((wise(X0) | ~kind(X0)) => (wise(X0) & ~calm(X0))) [input p1]
3. ! [X0] : (humble(X0) => (~patient(X0) & quiet(X0)))... | 0 |
Everyone who is rich is brave or old and vice versa. Everyone who is both not generous and generous is not kind and vice versa. Everyone who is not brave is both happy and not calm. If someone is creative then alice is generous and vice versa. If someone is both not brave and not quiet then someone is not generous or n... | Alice is creative. | neutral | (![X]:(rich(X)<=>(brave(X)|old(X))))&
(![X]:((~generous(X)&generous(X))<=>~kind(X)))&
(![X]:(~brave(X)=>(happy(X)&~calm(X))))&
((?[X]:(creative(X)))<=>(generous(alice)))&
((?[X]:((~brave(X)&~quiet(X))))=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:((tall(X)&funny(X))<=>(patient(X)&~kind(X))))&
(![X]:(~funny(X)=>(funny(X)... | creative(alice) | [] | null | 0 |
If someone is either not quiet or happy then fred is funny.
If someone is brave then paul is calm and vice versa.
Everyone who is either patient or not funny is both not generous and curious.
If john is either brave or funny then paul is not calm.
If susan is both strong and not tall then paul is either not curious or ... | Fred is not curious. | contradiction | ((?[X]:((~quiet(X)<~>happy(X))))=>(funny(fred)))&
((?[X]:(brave(X)))<=>(calm(paul)))&
(![X]:((patient(X)<~>~funny(X))=>(~generous(X)&curious(X))))&
(((brave(john)<~>funny(john)))=>(~calm(paul)))&
(((strong(susan)&~tall(susan)))=>((~curious(paul)<~>~brave(paul))))&
((?[X]:((~strong(X)<~>generous(X))))=>((happy(paul)|cur... | ~curious(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1678588376920548425451333
% SZS output start Proof for 1678588376920548425451333
11. ! [X0] : ((~calm(X0) & calm(X0)) <=> ~curious(X0)) [input p10]
21. ~curious(fred) [input hypothesis]
47. ! [X0] : (((~calm(X0) & calm(X0)) | curious(X0)) & (~curious(X0) | (calm(X0) | ~calm(X0)))) [nnf tr... | 0 |
Everyone who is tall or not tall is both quiet and not wise and vice versa.
Everyone who is either not kind or not curious is old.
If someone is not old or not brave then alice is either creative or tall.
Everyone who is not old is not brave or kind and vice versa.
If susan is either creative or not happy then someone ... | Susan is not generous. | neutral | (![X]:((tall(X)|~tall(X))<=>(quiet(X)&~wise(X))))&
(![X]:((~kind(X)<~>~curious(X))=>old(X)))&
((?[X]:((~old(X)|~brave(X))))=>((creative(alice)<~>tall(alice))))&
(![X]:(~old(X)<=>(~brave(X)|kind(X))))&
(((creative(susan)<~>~happy(susan)))=>(?[X]:((happy(X)&generous(X)))))&
(![X]:(~old(X)=>(humble(X)&~happy(X))))&
((?[X]... | ~generous(susan) | [] | null | 0 |
Everyone who is either kind or happy is not kind or calm and vice versa.
Everyone who is both patient and funny is either not creative or not generous.
If someone is both quiet and funny then someone is not strong.
If alice is both not calm and not curious then john is creative.
If someone is generous then someone is b... | John is not creative. | neutral | (![X]:((kind(X)<~>happy(X))<=>(~kind(X)|calm(X))))&
(![X]:((patient(X)&funny(X))=>(~creative(X)<~>~generous(X))))&
((?[X]:((quiet(X)&funny(X))))=>(?[X]:(~strong(X))))&
(((~calm(alice)&~curious(alice)))=>(creative(john)))&
((?[X]:(generous(X)))<=>(?[X]:((old(X)&~curious(X)))))&
(![X]:((tall(X)|~generous(X))=>(strong(X)&... | ~creative(john) | [] | null | 0 |
If someone is both not generous and not happy then mary is both happy and not brave and vice versa.
If mary is either not creative or quiet then someone is not tall and vice versa.
If someone is both not rich and not kind then lucy is calm or not strong.
If someone is not happy then susan is happy and vice versa.
If jo... | Susan is strong. | neutral | ((?[X]:((~generous(X)&~happy(X))))<=>((happy(mary)&~brave(mary))))&
(((~creative(mary)<~>quiet(mary)))<=>(?[X]:(~tall(X))))&
((?[X]:((~rich(X)&~kind(X))))=>((calm(lucy)|~strong(lucy))))&
((?[X]:(~happy(X)))<=>(happy(susan)))&
(((~quiet(john)&rich(john)))<=>(?[X]:(brave(X))))&
(![X]:((brave(X)&~brave(X))<=>(kind(X)&~gen... | strong(susan) | [] | null | 0 |
Everyone who is not quiet is brave or wise. Everyone who is both curious and happy is not brave. Everyone who is tall or creative is funny. Everyone who is either creative or not funny is either not generous or not calm. Everyone who is not creative is humble and vice versa. Everyone who is not creative is rich or funn... | Lucy is strong. | neutral | (![X]:(~quiet(X)=>(brave(X)|wise(X))))&
(![X]:((curious(X)&happy(X))=>~brave(X)))&
(![X]:((tall(X)|creative(X))=>funny(X)))&
(![X]:((creative(X)<~>~funny(X))=>(~generous(X)<~>~calm(X))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:(~creative(X)<=>(rich(X)|funny(X))))&
(![X]:((~humble(X)|~funny(X))<=>(tall(X)&~funny(X))))... | strong(lucy) | [] | null | 0 |
Everyone who is either not rich or not humble is either patient or not creative. Everyone who is both not strong and rich is not humble. Everyone who is calm is not patient or not strong. If someone is quiet or brave then susan is tall. Everyone who is patient or not patient is happy or humble and vice versa. Everyone ... | Mary is not quiet. | contradiction | (![X]:((~rich(X)<~>~humble(X))=>(patient(X)<~>~creative(X))))&
(![X]:((~strong(X)&rich(X))=>~humble(X)))&
(![X]:(calm(X)=>(~patient(X)|~strong(X))))&
((?[X]:((quiet(X)|brave(X))))=>(tall(susan)))&
(![X]:((patient(X)|~patient(X))<=>(happy(X)|humble(X))))&
(![X]:((~strong(X)&patient(X))<=>(strong(X)|~strong(X))))&
(![X]:... | ~quiet(mary) | [
"p5",
"p7",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1791116999434181196742715
% SZS output start Proof for 1791116999434181196742715
6. ! [X0] : ((patient(X0) & ~strong(X0)) <=> (~strong(X0) | strong(X0))) [input p5]
8. ! [X0] : ((generous(X0) & ~strong(X0)) <=> (~brave(X0) | quiet(X0))) [input p7]
11. ! [X0] : (generous(X0) <=> (wise(X0) ... | 0 |
If someone is wise or not old then susan is not calm and vice versa.
If someone is not humble then someone is both not wise and not happy and vice versa.
If someone is tall then someone is not rich or curious and vice versa.
Everyone who is both wise and not brave is both not strong and happy.
Everyone who is either no... | Alice is old. | entailment | ((?[X]:((wise(X)|~old(X))))<=>(~calm(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~wise(X)&~happy(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:((wise(X)&~brave(X))=>(~strong(X)&happy(X))))&
(![X]:((~kind(X)<~>strong(X))=>(rich(X)&old(X))))&
((?[X]:((~rich(X)&~patient(X))))<=>((~kind(mary)<~>~old(mary)... | old(alice) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 831152544031957829843252
% SZS output start Proof for 831152544031957829843252
15. ! [X0] : (patient(X0) <=> (~patient(X0) | old(X0))) [input p14]
24. ~old(alice) [input hypothesis]
67. ! [X0] : ((patient(X0) | (patient(X0) & ~old(X0))) & ((~patient(X0) | old(X0)) | ~patient(X0))) [nnf tr... | 0 |
Everyone who is old or not tall is either kind or wise.
Everyone who is either not calm or not happy is either not kind or happy and vice versa.
Everyone who is old or not generous is not strong or not brave and vice versa.
Everyone who is either tall or not curious is old or tall and vice versa.
Everyone who is kind o... | Fred is brave. | neutral | (![X]:((old(X)|~tall(X))=>(kind(X)<~>wise(X))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((old(X)|~generous(X))<=>(~strong(X)|~brave(X))))&
(![X]:((tall(X)<~>~curious(X))<=>(old(X)|tall(X))))&
(![X]:((kind(X)|~happy(X))=>(~wise(X)&funny(X))))&
((?[X]:(~quiet(X)))<=>((creative(mary)|~calm(mary))))... | brave(fred) | [] | null | 0 |
Everyone who is tall or not wise is tall.
If paul is either not wise or not funny then fred is not curious or not funny and vice versa.
If susan is either not strong or not wise then paul is funny and vice versa.
Everyone who is not patient or patient is either not calm or curious.
If someone is patient then mary is bo... | Lucy is not funny. | neutral | (![X]:((tall(X)|~wise(X))=>tall(X)))&
(((~wise(paul)<~>~funny(paul)))<=>((~curious(fred)|~funny(fred))))&
(((~strong(susan)<~>~wise(susan)))<=>(funny(paul)))&
(![X]:((~patient(X)|patient(X))=>(~calm(X)<~>curious(X))))&
((?[X]:(patient(X)))=>((funny(mary)&curious(mary))))&
(![X]:((~wise(X)<~>brave(X))=>(patient(X)&~pati... | ~funny(lucy) | [] | null | 0 |
If someone is not calm then someone is both not happy and curious and vice versa. Everyone who is generous or not generous is either rich or patient and vice versa. Everyone who is both calm and funny is both strong and humble. Everyone who is kind is either calm or humble and vice versa. Everyone who is either calm or... | Susan is not generous. | neutral | ((?[X]:(~calm(X)))<=>(?[X]:((~happy(X)&curious(X)))))&
(![X]:((generous(X)|~generous(X))<=>(rich(X)<~>patient(X))))&
(![X]:((calm(X)&funny(X))=>(strong(X)&humble(X))))&
(![X]:(kind(X)<=>(calm(X)<~>humble(X))))&
(![X]:((calm(X)<~>tall(X))<=>(wise(X)|rich(X))))&
(((~kind(lucy)&~strong(lucy)))=>((~tall(mary)&brave(mary)))... | ~generous(susan) | [] | null | 0 |
Everyone who is either not funny or tall is both calm and not calm and vice versa.
Everyone who is either not humble or rich is wise or not tall.
Everyone who is not quiet is either quiet or strong.
Everyone who is either not wise or funny is generous and vice versa.
Everyone who is either not generous or brave is eith... | Susan is not funny. | contradiction | (![X]:((~funny(X)<~>tall(X))<=>(calm(X)&~calm(X))))&
(![X]:((~humble(X)<~>rich(X))=>(wise(X)|~tall(X))))&
(![X]:(~quiet(X)=>(quiet(X)<~>strong(X))))&
(![X]:((~wise(X)<~>funny(X))<=>generous(X)))&
(![X]:((~generous(X)<~>brave(X))=>(tall(X)<~>~kind(X))))&
((?[X]:((~old(X)|~wise(X))))=>((~patient(lucy)&~funny(lucy))))&
((... | ~funny(susan) | [
"p7",
"p8",
"p11",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 211928745855288726554672
% SZS output start Proof for 211928745855288726554672
8. ! [X0] : ((~generous(X0) <~> ~humble(X0)) <=> (~brave(X0) <~> ~generous(X0))) [input p7]
9. ! [X0] : ((~wise(X0) <~> funny(X0)) <=> (~curious(X0) & ~brave(X0))) [input p8]
12. ? [X0] : ~curious(X0) <=> brave... | 0 |
If someone is brave then someone is not funny or not happy. Everyone who is brave is either rich or generous. If mary is not patient then someone is both wise and not strong and vice versa. If someone is strong then someone is either not generous or calm. If susan is either not brave or kind then mary is not brave or n... | Susan is kind. | contradiction | ((?[X]:(brave(X)))=>(?[X]:((~funny(X)|~happy(X)))))&
(![X]:(brave(X)=>(rich(X)<~>generous(X))))&
((~patient(mary))<=>(?[X]:((wise(X)&~strong(X)))))&
((?[X]:(strong(X)))=>(?[X]:((~generous(X)<~>calm(X)))))&
(((~brave(susan)<~>kind(susan)))<=>((~brave(mary)|~creative(mary))))&
((?[X]:(~patient(X)))<=>(?[X]:((~quiet(X)|~h... | kind(susan) | [
"p4",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4826227604172933848536849
% SZS output start Proof for 4826227604172933848536849
5. (~brave(susan) <~> kind(susan)) <=> (~creative(mary) | ~brave(mary)) [input p4]
10. ? [X0] : brave(X0) <=> ? [X0] : (~strong(X0) & strong(X0)) [input p9]
21. quiet(susan) & ~brave(susan) [input p20]
25. ki... | 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 ... | Susan is humble. | entailment | (![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(... | humble(susan) | [
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8698367874228280171885583
% SZS output start Proof for 8698367874228280171885583
9. ! [X0] : ((~humble(X0) | ~old(X0)) <=> funny(X0)) [input p8]
11. ! [X0] : ((~old(X0) | funny(X0)) <=> (~strong(X0) & wise(X0))) [input p10]
12. ! [X0] : ((strong(X0) <~> ~funny(X0)) <=> (~tall(X0) <~> tall... | 0 |
Everyone who is not tall is happy. Everyone who is brave or not kind is not kind or rich and vice versa. Everyone who is either not old or wise is calm or brave and vice versa. Everyone who is not quiet or not strong is either funny or wise and vice versa. Everyone who is either curious or not strong is tall or not pat... | Paul is brave. | entailment | (![X]:(~tall(X)=>happy(X)))&
(![X]:((brave(X)|~kind(X))<=>(~kind(X)|rich(X))))&
(![X]:((~old(X)<~>wise(X))<=>(calm(X)|brave(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(funny(X)<~>wise(X))))&
(![X]:((curious(X)<~>~strong(X))=>(tall(X)|~patient(X))))&
(![X]:((calm(X)|~old(X))<=>(~curious(X)|~brave(X))))&
(![X]:(~brave(X)=>(~... | brave(paul) | [
"p0",
"p2",
"p5",
"p6",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7945455779515856266716009
% SZS output start Proof for 7945455779515856266716009
1. ! [X0] : (~tall(X0) => happy(X0)) [input p0]
3. ! [X0] : ((~old(X0) <~> wise(X0)) <=> (brave(X0) | calm(X0))) [input p2]
6. ! [X0] : ((~old(X0) | calm(X0)) <=> (~brave(X0) | ~curious(X0))) [input p5]
7. ! ... | 0 |
Everyone who is calm is not creative or creative.
Everyone who is either not wise or quiet is either old or not generous.
Everyone who is either brave or strong is both not happy and old and vice versa.
Everyone who is both happy and not patient is both calm and not calm.
If someone is kind or patient then someone is f... | Mary is not tall. | neutral | (![X]:(calm(X)=>(~creative(X)|creative(X))))&
(![X]:((~wise(X)<~>quiet(X))=>(old(X)<~>~generous(X))))&
(![X]:((brave(X)<~>strong(X))<=>(~happy(X)&old(X))))&
(![X]:((happy(X)&~patient(X))=>(calm(X)&~calm(X))))&
((?[X]:((kind(X)|patient(X))))<=>(?[X]:((funny(X)|~wise(X)))))&
((?[X]:((calm(X)&~calm(X))))=>(?[X]:(generous(... | ~tall(mary) | [] | null | 0 |
Everyone who is rich is generous.
If susan is not kind then someone is not generous or not funny.
If lucy is either kind or not quiet then someone is both not curious and tall.
Everyone who is both old and not strong is both generous and creative and vice versa.
Everyone who is not generous or strong is either happy or... | John is happy. | entailment | (![X]:(rich(X)=>generous(X)))&
((~kind(susan))=>(?[X]:((~generous(X)|~funny(X)))))&
(((kind(lucy)<~>~quiet(lucy)))=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((old(X)&~strong(X))<=>(generous(X)&creative(X))))&
(![X]:((~generous(X)|strong(X))<=>(happy(X)<~>~brave(X))))&
(![X]:((calm(X)|old(X))<=>(calm(X)|~old(X))))&
((?[X]... | happy(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5920552281559182026172102
% SZS output start Proof for 5920552281559182026172102
21. ~tall(john) & happy(john) [input p20]
24. ~happy(john) [input hypothesis]
122. happy(john) [cnf transformation 21]
126. ~happy(john) [cnf transformation 24]
257. $false [subsumption resolution 126,122]
% ... | 0 |
If someone is wise or patient then alice is not calm or strong.
Everyone who is both happy and not humble is old.
If someone is either rich or not generous then paul is not quiet.
Everyone who is wise is both curious and not wise.
If someone is either generous or funny then someone is strong and vice versa.
If someone ... | Lucy is curious. | contradiction | ((?[X]:((wise(X)|patient(X))))=>((~calm(alice)|strong(alice))))&
(![X]:((happy(X)&~humble(X))=>old(X)))&
((?[X]:((rich(X)<~>~generous(X))))=>(~quiet(paul)))&
(![X]:(wise(X)=>(curious(X)&~wise(X))))&
((?[X]:((generous(X)<~>funny(X))))<=>(?[X]:(strong(X))))&
((?[X]:((humble(X)<~>~funny(X))))<=>(?[X]:((strong(X)&calm(X)))... | curious(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8730148297094620918142157
% SZS output start Proof for 8730148297094620918142157
15. ! [X0] : ((~generous(X0) | generous(X0)) => ~curious(X0)) [input p14]
25. curious(lucy) [input hypothesis]
42. ! [X0] : (~curious(X0) | (generous(X0) & ~generous(X0))) [ennf transformation 15]
120. ~curio... | 0 |
Everyone who is both not rich and brave is either rich or patient.
If someone is both rich and creative then susan is kind and vice versa.
Everyone who is rich or curious is both kind and patient and vice versa.
If susan is generous or creative then someone is either not happy or not humble.
Everyone who is either tall... | John is patient. | entailment | (![X]:((~rich(X)&brave(X))=>(rich(X)<~>patient(X))))&
((?[X]:((rich(X)&creative(X))))<=>(kind(susan)))&
(![X]:((rich(X)|curious(X))<=>(kind(X)&patient(X))))&
(((generous(susan)|creative(susan)))=>(?[X]:((~happy(X)<~>~humble(X)))))&
(![X]:((tall(X)<~>quiet(X))<=>(~tall(X)&~funny(X))))&
((?[X]:((~wise(X)&~strong(X))))=>(... | patient(john) | [
"p0",
"p8",
"p9",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4103101385584588740513928
% SZS output start Proof for 4103101385584588740513928
1. ! [X0] : ((brave(X0) & ~rich(X0)) => (rich(X0) <~> patient(X0))) [input p0]
9. ! [X0] : ((rich(X0) | patient(X0)) => (~brave(X0) <~> ~rich(X0))) [input p8]
10. ! [X0] : ((generous(X0) | ~rich(X0)) => (~tal... | 0 |
Everyone who is either funny or humble is not calm and vice versa. Everyone who is calm or funny is either not generous or generous. If someone is both creative and happy then fred is not wise. Everyone who is both not funny and tall is both old and not patient. Everyone who is both creative and quiet is both not tall ... | Susan is wise. | contradiction | (![X]:((funny(X)<~>humble(X))<=>~calm(X)))&
(![X]:((calm(X)|funny(X))=>(~generous(X)<~>generous(X))))&
((?[X]:((creative(X)&happy(X))))=>(~wise(fred)))&
(![X]:((~funny(X)&tall(X))=>(old(X)&~patient(X))))&
(![X]:((creative(X)&quiet(X))=>(~tall(X)&~humble(X))))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:((calm(X)&happy(... | wise(susan) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5228874043733103035586517
% SZS output start Proof for 5228874043733103035586517
7. ! [X0] : ((~curious(X0) & ~wise(X0)) <=> (~tall(X0) <~> tall(X0))) [input p6]
21. wise(susan) [input hypothesis]
42. ! [X0] : (((~curious(X0) & ~wise(X0)) | ((~tall(X0) | ~tall(X0)) & (tall(X0) | tall(X0))... | 0 |
Everyone who is curious or not generous is either not funny or not patient and vice versa.
Everyone who is not tall is funny or not tall and vice versa.
If someone is kind or not rich then fred is not funny or brave.
If alice is curious or not tall then mary is not old and vice versa.
If someone is not old or generous ... | Paul is curious. | neutral | (![X]:((curious(X)|~generous(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:(~tall(X)<=>(funny(X)|~tall(X))))&
((?[X]:((kind(X)|~rich(X))))=>((~funny(fred)|brave(fred))))&
(((curious(alice)|~tall(alice)))<=>(~old(mary)))&
((?[X]:((~old(X)|generous(X))))=>(?[X]:((~rich(X)<~>strong(X)))))&
((~funny(alice))=>(?[X]:((quiet(X)|~f... | curious(paul) | [] | null | 0 |
If alice is not funny then lucy is strong and vice versa. If john is not wise or humble then fred is both wise and creative and vice versa. If fred is generous then mary is not wise or not funny. If fred is both wise and not funny then paul is both not humble and old. Everyone who is either patient or not patient is bo... | Lucy is not kind. | entailment | ((~funny(alice))<=>(strong(lucy)))&
(((~wise(john)|humble(john)))<=>((wise(fred)&creative(fred))))&
((generous(fred))=>((~wise(mary)|~funny(mary))))&
(((wise(fred)&~funny(fred)))=>((~humble(paul)&old(paul))))&
(![X]:((patient(X)<~>~patient(X))<=>(creative(X)&funny(X))))&
(((~kind(susan)&old(susan)))=>(~old(susan)))&
(!... | ~kind(lucy) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 1301128823968192868196490
% SZS output start Proof for 1301128823968192868196490
5. ! [X0] : ((patient(X0) <~> ~patient(X0)) <=> (funny(X0) & creative(X0))) [input p4]
7. ! [X0] : (~kind(X0) <=> (funny(X0) | ~wise(X0))) [input p6]
23. kind(lucy) [input hypothesis]
24. ! [X0] : ((funny(X0)... | 0 |
If someone is quiet then lucy is generous or not patient and vice versa.
If someone is calm or not tall then someone is either strong or patient.
Everyone who is either not patient or rich is not humble and vice versa.
Everyone who is not tall or funny is not funny.
Everyone who is strong is not funny or not brave.
Eve... | Lucy is not happy. | entailment | ((?[X]:(quiet(X)))<=>((generous(lucy)|~patient(lucy))))&
((?[X]:((calm(X)|~tall(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((~patient(X)<~>rich(X))<=>~humble(X)))&
(![X]:((~tall(X)|funny(X))=>~funny(X)))&
(![X]:(strong(X)=>(~funny(X)|~brave(X))))&
(![X]:(~old(X)=>(happy(X)|kind(X))))&
(![X]:((humble(X)&~strong(X)... | ~happy(lucy) | [
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4914604003293830711708823
% SZS output start Proof for 4914604003293830711708823
4. ! [X0] : ((funny(X0) | ~tall(X0)) => ~funny(X0)) [input p3]
11. ? [X0] : (~old(X0) | happy(X0)) => ? [X0] : (patient(X0) & ~strong(X0)) [input p10]
16. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (funny(X0) & o... | 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 1024485937966112206841710
% SZS output start Proof for 1024485937966112206841710
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 not rich or quiet is not brave.
If alice is humble then someone is both rich and not old.
If susan is not funny or not quiet then paul is either rich or not funny and vice versa.
Everyone who is either not old or old is brave and vice versa.
Everyone who is old or not old is not creative or not wise and... | John is not brave. | contradiction | (![X]:((~rich(X)|quiet(X))=>~brave(X)))&
((humble(alice))=>(?[X]:((rich(X)&~old(X)))))&
(((~funny(susan)|~quiet(susan)))<=>((rich(paul)<~>~funny(paul))))&
(![X]:((~old(X)<~>old(X))<=>brave(X)))&
(![X]:((old(X)|~old(X))<=>(~creative(X)|~wise(X))))&
(![X]:(~creative(X)=>(~creative(X)|rich(X))))&
((?[X]:((old(X)|~old(X)))... | ~brave(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 639278504697575424434300
% SZS output start Proof for 639278504697575424434300
4. ! [X0] : ((~old(X0) <~> old(X0)) <=> brave(X0)) [input p3]
22. ~brave(john) [input hypothesis]
37. ! [X0] : ((((~old(X0) | old(X0)) & (old(X0) | ~old(X0))) | ~brave(X0)) & (brave(X0) | ((~old(X0) | ~old(X0))... | 0 |
Everyone who is not happy or not creative is both not old and not tall.
If susan is not quiet then someone is brave or not humble.
If someone is both funny and not curious then mary is either patient or tall.
Everyone who is old is not patient or tall and vice versa.
Everyone who is happy is not generous and vice versa... | Susan is not curious. | neutral | (![X]:((~happy(X)|~creative(X))=>(~old(X)&~tall(X))))&
((~quiet(susan))=>(?[X]:((brave(X)|~humble(X)))))&
((?[X]:((funny(X)&~curious(X))))=>((patient(mary)<~>tall(mary))))&
(![X]:(old(X)<=>(~patient(X)|tall(X))))&
(![X]:(happy(X)<=>~generous(X)))&
(![X]:((~old(X)<~>~rich(X))=>(~wise(X)<~>wise(X))))&
(![X]:(rich(X)=>(~c... | ~curious(susan) | [] | null | 0 |
If someone is not calm or not happy then mary is strong and vice versa.
If someone is not curious or not quiet then fred is kind or creative.
If lucy is not rich or patient then lucy is wise.
Everyone who is either calm or humble is both rich and tall and vice versa.
Everyone who is both rich and calm is not wise and v... | Alice is not creative. | neutral | ((?[X]:((~calm(X)|~happy(X))))<=>(strong(mary)))&
((?[X]:((~curious(X)|~quiet(X))))=>((kind(fred)|creative(fred))))&
(((~rich(lucy)|patient(lucy)))=>(wise(lucy)))&
(![X]:((calm(X)<~>humble(X))<=>(rich(X)&tall(X))))&
(![X]:((rich(X)&calm(X))<=>~wise(X)))&
(![X]:((quiet(X)&creative(X))=>(~tall(X)<~>~generous(X))))&
((?[X... | ~creative(alice) | [] | null | 0 |
Everyone who is not tall is not old or not happy and vice versa.
Everyone who is quiet is brave or not happy.
Everyone who is both strong and wise is patient.
Everyone who is strong or not generous is curious and vice versa.
Everyone who is tall is not wise or not calm and vice versa.
Everyone who is both quiet and not... | Paul is not brave. | entailment | (![X]:(~tall(X)<=>(~old(X)|~happy(X))))&
(![X]:(quiet(X)=>(brave(X)|~happy(X))))&
(![X]:((strong(X)&wise(X))=>patient(X)))&
(![X]:((strong(X)|~generous(X))<=>curious(X)))&
(![X]:(tall(X)<=>(~wise(X)|~calm(X))))&
(![X]:((quiet(X)&~rich(X))<=>(~humble(X)&old(X))))&
((?[X]:((humble(X)|old(X))))=>((~wise(lucy)&funny(lucy))... | ~brave(paul) | [
"p0",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7406282855036319528791201
% SZS output start Proof for 7406282855036319528791201
1. ! [X0] : (~tall(X0) <=> (~happy(X0) | ~old(X0))) [input p0]
7. ? [X0] : (old(X0) | humble(X0)) => (funny(lucy) & ~wise(lucy)) [input p6]
11. ? [X0] : funny(X0) <=> ~brave(paul) [input p10]
12. (~generous(p... | 0 |
If someone is wise or not rich then susan is not patient or curious. Everyone who is not creative or not strong is both not brave and not strong and vice versa. If someone is not tall or curious then someone is both not happy and generous and vice versa. Everyone who is wise or not quiet is either not brave or strong. ... | Mary is happy. | neutral | ((?[X]:((wise(X)|~rich(X))))=>((~patient(susan)|curious(susan))))&
(![X]:((~creative(X)|~strong(X))<=>(~brave(X)&~strong(X))))&
((?[X]:((~tall(X)|curious(X))))<=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:((wise(X)|~quiet(X))=>(~brave(X)<~>strong(X))))&
(![X]:((~curious(X)<~>tall(X))<=>(~patient(X)&~calm(X))))&
(((curiou... | happy(mary) | [] | null | 0 |
Everyone who is not kind is both strong and tall and vice versa.
If someone is rich then alice is either not quiet or not curious and vice versa.
If mary is both not brave and not curious then alice is calm or brave.
If someone is not generous then someone is not happy or calm and vice versa.
If john is happy then susa... | Lucy is funny. | contradiction | (![X]:(~kind(X)<=>(strong(X)&tall(X))))&
((?[X]:(rich(X)))<=>((~quiet(alice)<~>~curious(alice))))&
(((~brave(mary)&~curious(mary)))=>((calm(alice)|brave(alice))))&
((?[X]:(~generous(X)))<=>(?[X]:((~happy(X)|calm(X)))))&
((happy(john))<=>(generous(susan)))&
((?[X]:((patient(X)<~>kind(X))))<=>(?[X]:((kind(X)|~kind(X)))))... | funny(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 519955480806041126015162
% SZS output start Proof for 519955480806041126015162
11. ! [X0] : (~funny(X0) <=> (~brave(X0) <~> brave(X0))) [input p10]
23. funny(lucy) [input hypothesis]
60. ! [X0] : ((~funny(X0) | ((~brave(X0) | ~brave(X0)) & (brave(X0) | brave(X0)))) & (((~brave(X0) | brave... | 0 |
Everyone who is both funny and not calm is either wise or not brave.
If fred is not rich or not creative then someone is rich.
Everyone who is either not old or not curious is not old or curious.
Everyone who is funny is not calm or not strong.
Everyone who is not generous is quiet and vice versa.
Everyone who is not r... | Fred is rich. | contradiction | (![X]:((funny(X)&~calm(X))=>(wise(X)<~>~brave(X))))&
(((~rich(fred)|~creative(fred)))=>(?[X]:(rich(X))))&
(![X]:((~old(X)<~>~curious(X))=>(~old(X)|curious(X))))&
(![X]:(funny(X)=>(~calm(X)|~strong(X))))&
(![X]:(~generous(X)<=>quiet(X)))&
(![X]:((~rich(X)|happy(X))<=>(~patient(X)&~wise(X))))&
((?[X]:((~funny(X)<~>~rich(... | rich(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3315272301461287119342180
% SZS output start Proof for 3315272301461287119342180
22. ~rich(fred) & ~curious(fred) [input p21]
25. rich(fred) [input hypothesis]
141. ~rich(fred) [cnf transformation 22]
144. rich(fred) [cnf transformation 25]
156. 3 <=> rich(fred) [avatar definition]
358. ~... | 0 |
Everyone who is both kind and not brave is both not kind and kind and vice versa.
If someone is either calm or tall then someone is funny and vice versa.
Everyone who is not calm or quiet is both not wise and not generous.
If susan is not calm then someone is both not humble and not rich.
Everyone who is both not patie... | Fred is kind. | contradiction | (![X]:((kind(X)&~brave(X))<=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)))... | kind(fred) | [
"p0",
"p2",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8499185506581253010208752
% SZS output start Proof for 8499185506581253010208752
1. ! [X0] : ((~brave(X0) & kind(X0)) <=> (kind(X0) & ~kind(X0))) [input p0]
3. ! [X0] : ((quiet(X0) | ~calm(X0)) => (~generous(X0) & ~wise(X0))) [input p2]
10. ! [X0] : ((~rich(X0) | ~wise(X0)) => (~brave(X0)... | 0 |
Everyone who is kind is either not old or quiet.
Everyone who is not old or not wise is kind and vice versa.
If alice is either not funny or not strong then paul is either not funny or wise and vice versa.
If someone is rich then someone is old.
Everyone who is both happy and patient is both strong and quiet and vice v... | Lucy is creative. | entailment | (![X]:(kind(X)=>(~old(X)<~>quiet(X))))&
(![X]:((~old(X)|~wise(X))<=>kind(X)))&
(((~funny(alice)<~>~strong(alice)))<=>((~funny(paul)<~>wise(paul))))&
((?[X]:(rich(X)))=>(?[X]:(old(X))))&
(![X]:((happy(X)&patient(X))<=>(strong(X)&quiet(X))))&
(((old(lucy)&~rich(lucy)))=>(?[X]:(calm(X))))&
(((strong(lucy)&wise(lucy)))=>((... | creative(lucy) | [
"p0",
"p1",
"p4",
"p7",
"p8",
"p9",
"p11",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 716845864533870733297714
% SZS output start Proof for 716845864533870733297714
1. ! [X0] : (kind(X0) => (~old(X0) <~> quiet(X0))) [input p0]
2. ! [X0] : ((~wise(X0) | ~old(X0)) <=> kind(X0)) [input p1]
5. ! [X0] : ((patient(X0) & happy(X0)) <=> (quiet(X0) & strong(X0))) [input p4]
8. ! [X... | 0 |
Everyone who is not wise or not generous is not patient or kind.
Everyone who is either kind or not humble is not creative.
Everyone who is not curious or old is not generous or wise.
Everyone who is either not calm or not creative is brave or funny and vice versa.
If someone is either happy or not curious then someone... | Lucy is not patient. | contradiction | (![X]:((~wise(X)|~generous(X))=>(~patient(X)|kind(X))))&
(![X]:((kind(X)<~>~humble(X))=>~creative(X)))&
(![X]:((~curious(X)|old(X))=>(~generous(X)|wise(X))))&
(![X]:((~calm(X)<~>~creative(X))<=>(brave(X)|funny(X))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:((~brave(X)&strong(X)))))&
(![X]:((~creative(X)&quiet(X))<=>~... | ~patient(lucy) | [
"p1",
"p5",
"p6",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 825084100224340143211851
% SZS output start Proof for 825084100224340143211851
2. ! [X0] : ((kind(X0) <~> ~humble(X0)) => ~creative(X0)) [input p1]
6. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> ~tall(X0)) [input p5]
7. ~patient(lucy) => (creative(susan) & quiet(susan)) [input p6]
8. ! [X0]... | 0 |
Everyone who is strong or happy is creative and vice versa.
If susan is patient then someone is both not curious and not rich and vice versa.
If someone is both not rich and old then someone is wise and vice versa.
If paul is patient or not generous then paul is not patient or not wise.
Everyone who is not generous or ... | Lucy is not creative. | neutral | (![X]:((strong(X)|happy(X))<=>creative(X)))&
((patient(susan))<=>(?[X]:((~curious(X)&~rich(X)))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:(wise(X))))&
(((patient(paul)|~generous(paul)))=>((~patient(paul)|~wise(paul))))&
(![X]:((~generous(X)|~quiet(X))=>(~wise(X)<~>~kind(X))))&
(![X]:((curious(X)<~>quiet(X))<=>~strong(X)))... | ~creative(lucy) | [] | null | 0 |
If alice is wise or quiet then mary is rich and vice versa.
Everyone who is either curious or not curious is both not old and not brave and vice versa.
Everyone who is both wise and brave is not kind and vice versa.
Everyone who is wise or creative is both not quiet and brave and vice versa.
Everyone who is both funny ... | Susan is not strong. | neutral | (((wise(alice)|quiet(alice)))<=>(rich(mary)))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)&~brave(X))))&
(![X]:((wise(X)&brave(X))<=>~kind(X)))&
(![X]:((wise(X)|creative(X))<=>(~quiet(X)&brave(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)<~>quiet(X))))&
((?[X]:((wise(X)<~>old(X))))=>(?[X]:(~rich(X))))&
(((happy(lucy... | ~strong(susan) | [] | null | 0 |
If someone is either not rich or not quiet then lucy is either not creative or not strong.
If someone is kind or calm then lucy is both not calm and rich.
Everyone who is not rich or rich is generous or humble.
Everyone who is either rich or not quiet is kind or happy.
Everyone who is both brave and old is either happy... | Susan is not kind. | entailment | ((?[X]:((~rich(X)<~>~quiet(X))))=>((~creative(lucy)<~>~strong(lucy))))&
((?[X]:((kind(X)|calm(X))))=>((~calm(lucy)&rich(lucy))))&
(![X]:((~rich(X)|rich(X))=>(generous(X)|humble(X))))&
(![X]:((rich(X)<~>~quiet(X))=>(kind(X)|happy(X))))&
(![X]:((brave(X)&old(X))=>(happy(X)<~>~kind(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~hu... | ~kind(susan) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1586228220592607777342659
% SZS output start Proof for 1586228220592607777342659
2. ? [X0] : (calm(X0) | kind(X0)) => (rich(lucy) & ~calm(lucy)) [input p1]
14. ! [X0] : ((calm(X0) | ~calm(X0)) => (patient(X0) & ~rich(X0))) [input p13]
23. kind(susan) [input hypothesis]
28. (rich(lucy) & ~... | 0 |
If someone is happy or quiet then susan is strong and vice versa.
Everyone who is both wise and quiet is both creative and kind.
Everyone who is both not creative and quiet is either not kind or not generous and vice versa.
Everyone who is either not creative or calm is wise.
If someone is not funny or strong then some... | Mary is wise. | entailment | ((?[X]:((happy(X)|quiet(X))))<=>(strong(susan)))&
(![X]:((wise(X)&quiet(X))=>(creative(X)&kind(X))))&
(![X]:((~creative(X)&quiet(X))<=>(~kind(X)<~>~generous(X))))&
(![X]:((~creative(X)<~>calm(X))=>wise(X)))&
((?[X]:((~funny(X)|strong(X))))=>(?[X]:(strong(X))))&
((?[X]:(tall(X)))=>(?[X]:((creative(X)&~wise(X)))))&
((?[X... | wise(mary) | [
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2267117163212610991686210
% SZS output start Proof for 2267117163212610991686210
13. ! [X0] : (tall(X0) <=> ~wise(X0)) [input p12]
15. ! [X0] : ((wise(X0) & ~tall(X0)) <=> (calm(X0) | brave(X0))) [input p14]
16. ! [X0] : (brave(X0) <=> (~curious(X0) | tall(X0))) [input p15]
24. ~wise(mary... | 0 |
If lucy is either not curious or not creative then paul is not tall or not happy.
If john is both brave and not curious then paul is old or not funny and vice versa.
Everyone who is not calm is not quiet and vice versa.
If alice is either not happy or not old then someone is both not rich and not patient.
Everyone who ... | Mary is not rich. | entailment | (((~curious(lucy)<~>~creative(lucy)))=>((~tall(paul)|~happy(paul))))&
(((brave(john)&~curious(john)))<=>((old(paul)|~funny(paul))))&
(![X]:(~calm(X)<=>~quiet(X)))&
(((~happy(alice)<~>~old(alice)))=>(?[X]:((~rich(X)&~patient(X)))))&
(![X]:(~rich(X)<=>(curious(X)|~curious(X))))&
(![X]:((~happy(X)|funny(X))=>(generous(X)<... | ~rich(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 2591158079836473484575918
% SZS output start Proof for 2591158079836473484575918
5. ! [X0] : (~rich(X0) <=> (~curious(X0) | curious(X0))) [input p4]
24. rich(mary) [input hypothesis]
42. ! [X0] : ((~rich(X0) | (curious(X0) & ~curious(X0))) & ((~curious(X0) | curious(X0)) | rich(X0))) [nnf... | 0 |
Everyone who is either not happy or creative is both not strong and humble. If susan is not tall or funny then john is both happy and funny and vice versa. Everyone who is not rich or not funny is both kind and wise and vice versa. If lucy is both not funny and not strong then someone is rich and vice versa. Everyone w... | Alice is not wise. | contradiction | (![X]:((~happy(X)<~>creative(X))=>(~strong(X)&humble(X))))&
(((~tall(susan)|funny(susan)))<=>((happy(john)&funny(john))))&
(![X]:((~rich(X)|~funny(X))<=>(kind(X)&wise(X))))&
(((~funny(lucy)&~strong(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((patient(X)|~strong(X))=>(~quiet(X)<~>~rich(X))))&
(![X]:(creative(X)<=>(tall(X)<~>~ge... | ~wise(alice) | [
"p2",
"p3",
"p7",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2092885432814961024152302
% SZS output start Proof for 2092885432814961024152302
3. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (wise(X0) & kind(X0))) [input p2]
4. (~strong(lucy) & ~funny(lucy)) <=> ? [X0] : rich(X0) [input p3]
8. ! [X0] : (~quiet(X0) => ~brave(X0)) [input p7]
9. ! [X0] : (qu... | 0 |
If someone is both brave and not patient then someone is not tall or not wise and vice versa.
If someone is either creative or not old then someone is either curious or old.
Everyone who is curious or happy is not tall and vice versa.
Everyone who is either not kind or humble is both happy and brave and vice versa.
If ... | Susan is not brave. | entailment | ((?[X]:((brave(X)&~patient(X))))<=>(?[X]:((~tall(X)|~wise(X)))))&
((?[X]:((creative(X)<~>~old(X))))=>(?[X]:((curious(X)<~>old(X)))))&
(![X]:((curious(X)|happy(X))<=>~tall(X)))&
(![X]:((~kind(X)<~>humble(X))<=>(happy(X)&brave(X))))&
(((~creative(lucy)&kind(lucy)))<=>(?[X]:((brave(X)<~>~old(X)))))&
(![X]:(tall(X)=>~gener... | ~brave(susan) | [
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1400184977008080454518180
% SZS output start Proof for 1400184977008080454518180
8. ! [X0] : ((rich(X0) & strong(X0)) <=> ~tall(X0)) [input p7]
13. ! [X0] : ((~calm(X0) <~> brave(X0)) <=> (strong(X0) | ~patient(X0))) [input p12]
14. ? [X0] : (patient(X0) | calm(X0)) <=> (~calm(susan) & ~t... | 0 |
If paul is not tall then someone is either not humble or tall.
Everyone who is either calm or not strong is both not tall and tall and vice versa.
If mary is either old or funny then mary is either not calm or quiet and vice versa.
If someone is funny then someone is both not wise and strong.
If someone is patient then... | Susan is not brave. | neutral | ((~tall(paul))=>(?[X]:((~humble(X)<~>tall(X)))))&
(![X]:((calm(X)<~>~strong(X))<=>(~tall(X)&tall(X))))&
(((old(mary)<~>funny(mary)))<=>((~calm(mary)<~>quiet(mary))))&
((?[X]:(funny(X)))=>(?[X]:((~wise(X)&strong(X)))))&
((?[X]:(patient(X)))<=>(~calm(john)))&
((?[X]:((~brave(X)&~curious(X))))<=>(?[X]:((rich(X)&~patient(X... | ~brave(susan) | [] | null | 0 |
If someone is calm then someone is strong or humble and vice versa.
If someone is both calm and humble then someone is either rich or not quiet.
If someone is both kind and not patient then someone is both tall and not old.
If someone is not generous or generous then fred is either rich or not patient and vice versa.
E... | Fred is old. | contradiction | ((?[X]:(calm(X)))<=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((calm(X)&humble(X))))=>(?[X]:((rich(X)<~>~quiet(X)))))&
((?[X]:((kind(X)&~patient(X))))=>(?[X]:((tall(X)&~old(X)))))&
((?[X]:((~generous(X)|generous(X))))<=>((rich(fred)<~>~patient(fred))))&
(![X]:((~old(X)&~strong(X))<=>(~rich(X)|strong(X))))&
((?[X]:(wise(X... | old(fred) | [
"p0",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7634069837606347548622985
% SZS output start Proof for 7634069837606347548622985
1. ? [X0] : calm(X0) <=> ? [X0] : (humble(X0) | strong(X0)) [input p0]
7. ! [X0] : (~humble(X0) <=> (wise(X0) & ~old(X0))) [input p6]
12. ! [X0] : (~brave(X0) => (~brave(X0) & ~calm(X0))) [input p11]
13. ! [X... | 0 |
Everyone who is generous is either not humble or not old and vice versa.
If john is either not tall or not humble then someone is not humble.
Everyone who is rich or not old is both strong and calm and vice versa.
If paul is not brave or humble then someone is calm or not patient.
Everyone who is both not generous and ... | John is calm. | contradiction | (![X]:(generous(X)<=>(~humble(X)<~>~old(X))))&
(((~tall(john)<~>~humble(john)))=>(?[X]:(~humble(X))))&
(![X]:((rich(X)|~old(X))<=>(strong(X)&calm(X))))&
(((~brave(paul)|humble(paul)))=>(?[X]:((calm(X)|~patient(X)))))&
(![X]:((~generous(X)&kind(X))<=>(patient(X)&~kind(X))))&
(![X]:((patient(X)|~curious(X))<=>(~funny(X)&... | calm(john) | [
"p4",
"p5",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5999743054245028792840796
% SZS output start Proof for 5999743054245028792840796
5. ! [X0] : ((kind(X0) & ~generous(X0)) <=> (~kind(X0) & patient(X0))) [input p4]
6. ! [X0] : ((~curious(X0) | patient(X0)) <=> (~happy(X0) & ~funny(X0))) [input p5]
9. ? [X0] : (~kind(X0) <~> generous(X0)) =... | 0 |
Everyone who is both wise and generous is both not patient and not strong and vice versa.
If someone is either not brave or not patient then paul is not funny or not quiet.
Everyone who is both not happy and curious is patient and vice versa.
If mary is tall then someone is either not kind or not generous and vice vers... | John is not old. | neutral | (![X]:((wise(X)&generous(X))<=>(~patient(X)&~strong(X))))&
((?[X]:((~brave(X)<~>~patient(X))))=>((~funny(paul)|~quiet(paul))))&
(![X]:((~happy(X)&curious(X))<=>patient(X)))&
((tall(mary))<=>(?[X]:((~kind(X)<~>~generous(X)))))&
(((~generous(mary)|~patient(mary)))<=>(?[X]:((patient(X)|~humble(X)))))&
(![X]:((brave(X)&~ri... | ~old(john) | [] | null | 0 |
If someone is brave or rich then john is both not funny and not happy.
Everyone who is tall is not brave and vice versa.
Everyone who is generous is not happy and vice versa.
Everyone who is either not strong or funny is both generous and humble and vice versa.
If paul is both not kind and not brave then mary is either... | Lucy is not kind. | contradiction | ((?[X]:((brave(X)|rich(X))))=>((~funny(john)&~happy(john))))&
(![X]:(tall(X)<=>~brave(X)))&
(![X]:(generous(X)<=>~happy(X)))&
(![X]:((~strong(X)<~>funny(X))<=>(generous(X)&humble(X))))&
(((~kind(paul)&~brave(paul)))<=>((~wise(mary)<~>~curious(mary))))&
(![X]:(~curious(X)<=>(old(X)&~kind(X))))&
(![X]:(humble(X)=>(happy(... | ~kind(lucy) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p7",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2133647736186884763750903
% SZS output start Proof for 2133647736186884763750903
2. ! [X0] : (tall(X0) <=> ~brave(X0)) [input p1]
3. ! [X0] : (generous(X0) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((~strong(X0) <~> funny(X0)) <=> (humble(X0) & generous(X0))) [input p3]
6. ! [X0] : (~curious... | 0 |
Everyone who is not calm is either kind or generous and vice versa. Everyone who is both not brave and kind is both old and not kind. Everyone who is either not creative or not happy is old. Everyone who is both not humble and not rich is either generous or creative and vice versa. Everyone who is either not happy or s... | Susan is not quiet. | contradiction | (![X]:(~calm(X)<=>(kind(X)<~>generous(X))))&
(![X]:((~brave(X)&kind(X))=>(old(X)&~kind(X))))&
(![X]:((~creative(X)<~>~happy(X))=>old(X)))&
(![X]:((~humble(X)&~rich(X))<=>(generous(X)<~>creative(X))))&
(![X]:((~happy(X)<~>strong(X))=>(~kind(X)<~>~wise(X))))&
(![X]:((funny(X)&~generous(X))<=>(~happy(X)|~tall(X))))&
(![X]... | ~quiet(susan) | [
"p1",
"p3",
"p5",
"p8",
"p10",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2854669006584489781688674
% SZS output start Proof for 2854669006584489781688674
2. ! [X0] : ((kind(X0) & ~brave(X0)) => (~kind(X0) & old(X0))) [input p1]
4. ! [X0] : ((~rich(X0) & ~humble(X0)) <=> (generous(X0) <~> creative(X0))) [input p3]
6. ! [X0] : ((~generous(X0) & funny(X0)) <=> (~... | 0 |
If someone is happy then john is either calm or brave.
If someone is both not rich and generous then someone is not old or rich.
If john is strong or not curious then someone is both not kind and not curious and vice versa.
If alice is wise or not strong then someone is both creative and calm.
Everyone who is both calm... | Paul is curious. | neutral | ((?[X]:(happy(X)))=>((calm(john)<~>brave(john))))&
((?[X]:((~rich(X)&generous(X))))=>(?[X]:((~old(X)|rich(X)))))&
(((strong(john)|~curious(john)))<=>(?[X]:((~kind(X)&~curious(X)))))&
(((wise(alice)|~strong(alice)))=>(?[X]:((creative(X)&calm(X)))))&
(![X]:((calm(X)&~rich(X))<=>(~rich(X)|tall(X))))&
(((~quiet(susan)&tall... | curious(paul) | [] | null | 0 |
Everyone who is not strong is both happy and not happy.
If susan is both curious and patient then someone is either calm or not rich.
Everyone who is both not happy and curious is both not tall and rich.
Everyone who is brave or not patient is not funny and vice versa.
Everyone who is tall is both not generous and not ... | Susan is not funny. | entailment | (![X]:(~strong(X)=>(happy(X)&~happy(X))))&
(((curious(susan)&patient(susan)))=>(?[X]:((calm(X)<~>~rich(X)))))&
(![X]:((~happy(X)&curious(X))=>(~tall(X)&rich(X))))&
(![X]:((brave(X)|~patient(X))<=>~funny(X)))&
(![X]:(tall(X)=>(~generous(X)&~quiet(X))))&
(![X]:(~creative(X)=>(kind(X)<~>creative(X))))&
(![X]:((~calm(X)<~>... | ~funny(susan) | [
"p3",
"p5",
"p7",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 54612088101067598603497
% SZS output start Proof for 54612088101067598603497
4. ! [X0] : ((~patient(X0) | brave(X0)) <=> ~funny(X0)) [input p3]
6. ! [X0] : (~creative(X0) => (kind(X0) <~> creative(X0))) [input p5]
8. ! [X0] : ((~patient(X0) | ~brave(X0)) <=> humble(X0)) [input p7]
11. ! [... | 0 |
If lucy is either calm or not patient then fred is both humble and strong.
If someone is both rich and old then someone is both brave and quiet and vice versa.
Everyone who is either kind or not tall is either generous or old and vice versa.
Everyone who is either funny or not rich is both not wise and not calm.
Everyo... | Susan is creative. | contradiction | (((calm(lucy)<~>~patient(lucy)))=>((humble(fred)&strong(fred))))&
((?[X]:((rich(X)&old(X))))<=>(?[X]:((brave(X)&quiet(X)))))&
(![X]:((kind(X)<~>~tall(X))<=>(generous(X)<~>old(X))))&
(![X]:((funny(X)<~>~rich(X))=>(~wise(X)&~calm(X))))&
(![X]:((creative(X)|old(X))=>(~creative(X)&~brave(X))))&
(![X]:((patient(X)&kind(X))=... | creative(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7551338962068418987842069
% SZS output start Proof for 7551338962068418987842069
5. ! [X0] : ((old(X0) | creative(X0)) => (~brave(X0) & ~creative(X0))) [input p4]
23. creative(susan) [input hypothesis]
30. ! [X0] : ((~brave(X0) & ~creative(X0)) | (~old(X0) & ~creative(X0))) [ennf transfor... | 0 |
Everyone who is both not tall and strong is funny and vice versa.
Everyone who is both curious and kind is not quiet or happy and vice versa.
Everyone who is not patient is not curious.
Everyone who is not patient or strong is either not quiet or humble.
Everyone who is not tall or not creative is humble and vice versa... | Fred is not old. | neutral | (![X]:((~tall(X)&strong(X))<=>funny(X)))&
(![X]:((curious(X)&kind(X))<=>(~quiet(X)|happy(X))))&
(![X]:(~patient(X)=>~curious(X)))&
(![X]:((~patient(X)|strong(X))=>(~quiet(X)<~>humble(X))))&
(![X]:((~tall(X)|~creative(X))<=>humble(X)))&
(![X]:(quiet(X)<=>(~generous(X)&rich(X))))&
(![X]:((~humble(X)&creative(X))=>patient... | ~old(fred) | [] | null | 0 |
Everyone who is rich or patient is both not tall and strong. If someone is not wise or calm then mary is either curious or not curious. If lucy is kind or not rich then someone is either tall or kind and vice versa. Everyone who is either not curious or humble is both funny and curious. Everyone who is not generous or ... | Alice is not patient. | contradiction | (![X]:((rich(X)|patient(X))=>(~tall(X)&strong(X))))&
((?[X]:((~wise(X)|calm(X))))=>((curious(mary)<~>~curious(mary))))&
(((kind(lucy)|~rich(lucy)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|cur... | ~patient(alice) | [
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6055800750741648648263029
% SZS output start Proof for 6055800750741648648263029
5. ! [X0] : ((funny(X0) | ~generous(X0)) => (~quiet(X0) & ~creative(X0))) [input p4]
9. ! [X0] : (~quiet(X0) => patient(X0)) [input p8]
11. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p10]
21. ... | 0 |
Everyone who is either patient or not happy is either not brave or kind.
If someone is not tall or not old then alice is both not happy and not calm and vice versa.
If lucy is both not calm and not tall then alice is either not wise or generous and vice versa.
Everyone who is old or not funny is not strong or patient a... | Susan is rich. | entailment | (![X]:((patient(X)<~>~happy(X))=>(~brave(X)<~>kind(X))))&
((?[X]:((~tall(X)|~old(X))))<=>((~happy(alice)&~calm(alice))))&
(((~calm(lucy)&~tall(lucy)))<=>((~wise(alice)<~>generous(alice))))&
(![X]:((old(X)|~funny(X))<=>(~strong(X)|patient(X))))&
((?[X]:((old(X)&strong(X))))<=>(?[X]:((creative(X)<~>calm(X)))))&
(![X]:((k... | rich(susan) | [
"p0",
"p1",
"p3",
"p7",
"p9",
"p11",
"p14",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 936565259967694961739105
% SZS output start Proof for 936565259967694961739105
1. ! [X0] : ((patient(X0) <~> ~happy(X0)) => (~brave(X0) <~> kind(X0))) [input p0]
2. ? [X0] : (~old(X0) | ~tall(X0)) <=> (~calm(alice) & ~happy(alice)) [input p1]
4. ! [X0] : ((~funny(X0) | old(X0)) <=> (patie... | 0 |
Everyone who is either strong or not creative is both curious and not strong and vice versa.
If someone is not creative or not tall then someone is both calm and patient.
If someone is either curious or not wise then someone is both not rich and funny.
If paul is either not creative or not happy then paul is not wise o... | Paul is kind. | contradiction | (![X]:((strong(X)<~>~creative(X))<=>(curious(X)&~strong(X))))&
((?[X]:((~creative(X)|~tall(X))))=>(?[X]:((calm(X)&patient(X)))))&
((?[X]:((curious(X)<~>~wise(X))))=>(?[X]:((~rich(X)&funny(X)))))&
(((~creative(paul)<~>~happy(paul)))<=>((~wise(paul)|~kind(paul))))&
(![X]:((~happy(X)<~>~brave(X))<=>~kind(X)))&
((?[X]:((ha... | kind(paul) | [
"p10",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 253181259325962162654156
% SZS output start Proof for 253181259325962162654156
11. ! [X0] : (happy(X0) <=> (humble(X0) & quiet(X0))) [input p10]
20. ~humble(paul) [input p19]
21. happy(paul) | ~kind(paul) [input p20]
25. kind(paul) [input hypothesis]
60. ! [X0] : ((happy(X0) | (~humble(X0... | 0 |
Everyone who is either old or not kind is not humble or not old. If someone is not humble then lucy is either brave or not wise and vice versa. Everyone who is both strong and not tall is calm or old. Everyone who is wise is both not curious and not humble. Everyone who is not quiet is both not creative and not happy a... | John is kind. | neutral | (![X]:((old(X)<~>~kind(X))=>(~humble(X)|~old(X))))&
((?[X]:(~humble(X)))<=>((brave(lucy)<~>~wise(lucy))))&
(![X]:((strong(X)&~tall(X))=>(calm(X)|old(X))))&
(![X]:(wise(X)=>(~curious(X)&~humble(X))))&
(![X]:(~quiet(X)<=>(~creative(X)&~happy(X))))&
(((~old(lucy)|funny(lucy)))<=>(~old(john)))&
(![X]:((humble(X)&calm(X))=>... | kind(john) | [] | null | 0 |
Everyone who is not wise or funny is either not wise or not curious. If john is not curious or tall then someone is either not generous or humble and vice versa. If someone is tall or not funny then lucy is strong. If someone is both not quiet and not happy then someone is creative or not patient. Everyone who is eithe... | Susan is wise. | contradiction | (![X]:((~wise(X)|funny(X))=>(~wise(X)<~>~curious(X))))&
(((~curious(john)|tall(john)))<=>(?[X]:((~generous(X)<~>humble(X)))))&
((?[X]:((tall(X)|~funny(X))))=>(strong(lucy)))&
((?[X]:((~quiet(X)&~happy(X))))=>(?[X]:((creative(X)|~patient(X)))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~patient(X)<~>calm(X))))&
(![X]:((~happy(X... | wise(susan) | [
"p0",
"p4",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8194500830070233266310465
% SZS output start Proof for 8194500830070233266310465
1. ! [X0] : ((funny(X0) | ~wise(X0)) => (~wise(X0) <~> ~curious(X0))) [input p0]
5. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~patient(X0) <~> calm(X0))) [input p4]
9. ? [X0] : ~curious(X0) => ? [X0] : (patie... | 0 |
Everyone who is both kind and not creative is either generous or brave and vice versa.
Everyone who is either curious or old is both not brave and not strong and vice versa.
If susan is not old or not happy then someone is either old or not old.
Everyone who is both not old and not generous is not curious and vice vers... | Fred is brave. | neutral | (![X]:((kind(X)&~creative(X))<=>(generous(X)<~>brave(X))))&
(![X]:((curious(X)<~>old(X))<=>(~brave(X)&~strong(X))))&
(((~old(susan)|~happy(susan)))=>(?[X]:((old(X)<~>~old(X)))))&
(![X]:((~old(X)&~generous(X))<=>~curious(X)))&
((?[X]:((strong(X)&~calm(X))))<=>(?[X]:((~quiet(X)|~humble(X)))))&
(![X]:((~quiet(X)<~>~curiou... | brave(fred) | [] | null | 0 |
If paul is not wise then mary is humble and vice versa. Everyone who is not quiet or not tall is either creative or happy and vice versa. Everyone who is both generous and not creative is not patient or not funny. Everyone who is either old or wise is not wise and vice versa. Everyone who is both not curious and old is... | Mary is old. | entailment | ((~wise(paul))<=>(humble(mary)))&
(![X]:((~quiet(X)|~tall(X))<=>(creative(X)<~>happy(X))))&
(![X]:((generous(X)&~creative(X))=>(~patient(X)|~funny(X))))&
(![X]:((old(X)<~>wise(X))<=>~wise(X)))&
(![X]:((~curious(X)&old(X))<=>(old(X)|strong(X))))&
(![X]:(old(X)=>(funny(X)&~brave(X))))&
(![X]:((~old(X)<~>~generous(X))<=>(... | old(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 6097248811797519477373767
% SZS output start Proof for 6097248811797519477373767
4. ! [X0] : ((old(X0) <~> wise(X0)) <=> ~wise(X0)) [input p3]
23. ~old(mary) [input hypothesis]
37. ! [X0] : ((((~wise(X0) | ~old(X0)) & (wise(X0) | old(X0))) | wise(X0)) & (~wise(X0) | ((old(X0) | ~wise(X0))... | 0 |
Everyone who is either not strong or not calm is not kind.
If someone is generous then fred is patient or humble and vice versa.
If john is either old or funny then alice is old and vice versa.
If someone is brave or patient then someone is either not strong or not patient.
If susan is brave then mary is calm.
Everyone... | Fred is not strong. | neutral | (![X]:((~strong(X)<~>~calm(X))=>~kind(X)))&
((?[X]:(generous(X)))<=>((patient(fred)|humble(fred))))&
(((old(john)<~>funny(john)))<=>(old(alice)))&
((?[X]:((brave(X)|patient(X))))=>(?[X]:((~strong(X)<~>~patient(X)))))&
((brave(susan))=>(calm(mary)))&
(![X]:(patient(X)=>(~wise(X)<~>curious(X))))&
((?[X]:((rich(X)&~quiet(... | ~strong(fred) | [] | null | 0 |
Everyone who is not strong is wise or not patient and vice versa.
Everyone who is both kind and not strong is not generous and vice versa.
Everyone who is not kind or kind is both kind and strong and vice versa.
Everyone who is both not rich and kind is funny or creative.
If someone is curious or calm then alice is eit... | Susan is not kind. | contradiction | (![X]:(~strong(X)<=>(wise(X)|~patient(X))))&
(![X]:((kind(X)&~strong(X))<=>~generous(X)))&
(![X]:((~kind(X)|kind(X))<=>(kind(X)&strong(X))))&
(![X]:((~rich(X)&kind(X))=>(funny(X)|creative(X))))&
((?[X]:((curious(X)|calm(X))))=>((kind(alice)<~>brave(alice))))&
(![X]:((~brave(X)&~strong(X))<=>~quiet(X)))&
((?[X]:(creativ... | ~kind(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6305177341942225445856429
% SZS output start Proof for 6305177341942225445856429
3. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (strong(X0) & kind(X0))) [input p2]
24. ~kind(susan) [input hypothesis]
35. ! [X0] : (((kind(X0) | ~kind(X0)) | (~strong(X0) | ~kind(X0))) & ((strong(X0) & kind(X0)) | ... | 0 |
Everyone who is wise is kind or creative and vice versa.
If john is not rich then someone is kind or wise.
If someone is not generous then someone is both strong and curious and vice versa.
Everyone who is tall or strong is either patient or curious.
If someone is patient then lucy is rich or not patient.
Everyone who ... | Lucy is not quiet. | entailment | (![X]:(wise(X)<=>(kind(X)|creative(X))))&
((~rich(john))=>(?[X]:((kind(X)|wise(X)))))&
((?[X]:(~generous(X)))<=>(?[X]:((strong(X)&curious(X)))))&
(![X]:((tall(X)|strong(X))=>(patient(X)<~>curious(X))))&
((?[X]:(patient(X)))=>((rich(lucy)|~patient(lucy))))&
(![X]:(~patient(X)<=>(curious(X)|wise(X))))&
(![X]:((~kind(X)&o... | ~quiet(lucy) | [
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1993568085694712202573337
% SZS output start Proof for 1993568085694712202573337
11. ! [X0] : ((brave(X0) & humble(X0)) <=> strong(X0)) [input p10]
12. ! [X0] : ((~wise(X0) | quiet(X0)) => (old(X0) & strong(X0))) [input p11]
16. ! [X0] : ((~generous(X0) | quiet(X0)) => ~brave(X0)) [input ... | 0 |
Everyone who is either creative or happy is both not humble and not happy and vice versa.
If someone is both not wise and not happy then someone is creative or rich.
Everyone who is both not humble and creative is not generous or happy.
Everyone who is both old and not brave is not creative or strong and vice versa.
If... | Lucy is not wise. | entailment | (![X]:((creative(X)<~>happy(X))<=>(~humble(X)&~happy(X))))&
((?[X]:((~wise(X)&~happy(X))))=>(?[X]:((creative(X)|rich(X)))))&
(![X]:((~humble(X)&creative(X))=>(~generous(X)|happy(X))))&
(![X]:((old(X)&~brave(X))<=>(~creative(X)|strong(X))))&
((?[X]:((patient(X)|quiet(X))))<=>(?[X]:(happy(X))))&
(![X]:(kind(X)<=>(calm(X)... | ~wise(lucy) | [
"p0",
"p3",
"p9",
"p12",
"p14",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4360815796057576085868264
% SZS output start Proof for 4360815796057576085868264
1. ! [X0] : ((creative(X0) <~> happy(X0)) <=> (~happy(X0) & ~humble(X0))) [input p0]
4. ! [X0] : ((~brave(X0) & old(X0)) <=> (strong(X0) | ~creative(X0))) [input p3]
10. ! [X0] : ((~calm(X0) <~> old(X0)) => ~... | 0 |
Everyone who is not rich is not creative or patient and vice versa.
If alice is not generous or not humble then someone is not brave.
Everyone who is brave or not quiet is both generous and curious and vice versa.
If someone is not wise or not happy then someone is not creative and vice versa.
Everyone who is not happy... | Paul is wise. | contradiction | (![X]:(~rich(X)<=>(~creative(X)|patient(X))))&
(((~generous(alice)|~humble(alice)))=>(?[X]:(~brave(X))))&
(![X]:((brave(X)|~quiet(X))<=>(generous(X)&curious(X))))&
((?[X]:((~wise(X)|~happy(X))))<=>(?[X]:(~creative(X))))&
(![X]:((~happy(X)|old(X))<=>(curious(X)<~>~kind(X))))&
((?[X]:((~wise(X)<~>calm(X))))=>(?[X]:((curi... | wise(paul) | [
"p2",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 781612167339594315936622
% SZS output start Proof for 781612167339594315936622
3. ! [X0] : ((~quiet(X0) | brave(X0)) <=> (curious(X0) & generous(X0))) [input p2]
10. ? [X0] : ~generous(X0) <=> ? [X0] : (strong(X0) | wise(X0)) [input p9]
12. ! [X0] : ((creative(X0) <~> ~creative(X0)) <=> b... | 0 |
Everyone who is either kind or not generous is not patient or funny and vice versa. Everyone who is not brave is happy and vice versa. Everyone who is tall or strong is curious. Everyone who is either calm or not humble is either not wise or rich and vice versa. If someone is either tall or curious then lucy is humble ... | Fred is not quiet. | neutral | (![X]:((kind(X)<~>~generous(X))<=>(~patient(X)|funny(X))))&
(![X]:(~brave(X)<=>happy(X)))&
(![X]:((tall(X)|strong(X))=>curious(X)))&
(![X]:((calm(X)<~>~humble(X))<=>(~wise(X)<~>rich(X))))&
((?[X]:((tall(X)<~>curious(X))))<=>(humble(lucy)))&
(![X]:((brave(X)&~wise(X))<=>(~generous(X)&creative(X))))&
((?[X]:(funny(X)))=>... | ~quiet(fred) | [] | null | 0 |
If susan is either funny or patient then lucy is generous. Everyone who is both rich and not humble is rich and vice versa. Everyone who is both kind and wise is either not calm or not tall. Everyone who is not wise is either not patient or strong and vice versa. If paul is both kind and not tall then lucy is both not ... | John is patient. | contradiction | (((funny(susan)<~>patient(susan)))=>(generous(lucy)))&
(![X]:((rich(X)&~humble(X))<=>rich(X)))&
(![X]:((kind(X)&wise(X))=>(~calm(X)<~>~tall(X))))&
(![X]:(~wise(X)<=>(~patient(X)<~>strong(X))))&
(((kind(paul)&~tall(paul)))<=>((~strong(lucy)&rich(lucy))))&
(![X]:((old(X)<~>~wise(X))<=>(patient(X)<~>rich(X))))&
((?[X]:((~... | patient(john) | [
"p3",
"p8",
"p9",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6025277176437657553399970
% SZS output start Proof for 6025277176437657553399970
4. ! [X0] : (~wise(X0) <=> (~patient(X0) <~> strong(X0))) [input p3]
9. ! [X0] : ((patient(X0) | ~wise(X0)) <=> (tall(X0) & ~brave(X0))) [input p8]
10. ? [X0] : (~strong(X0) | ~generous(X0)) => (strong(john) ... | 0 |
Everyone who is not calm or brave is both kind and strong. Everyone who is calm or not old is either brave or rich and vice versa. Everyone who is either curious or not old is both brave and strong. If someone is not quiet or not old then someone is strong or not calm and vice versa. If someone is tall or not curious t... | Lucy is not patient. | neutral | (![X]:((~calm(X)|brave(X))=>(kind(X)&strong(X))))&
(![X]:((calm(X)|~old(X))<=>(brave(X)<~>rich(X))))&
(![X]:((curious(X)<~>~old(X))=>(brave(X)&strong(X))))&
((?[X]:((~quiet(X)|~old(X))))<=>(?[X]:((strong(X)|~calm(X)))))&
((?[X]:((tall(X)|~curious(X))))=>(?[X]:((tall(X)|~kind(X)))))&
((~rich(paul))<=>(?[X]:((~patient(X)... | ~patient(lucy) | [] | null | 0 |
Everyone who is both not strong and not rich is not happy or creative.
Everyone who is not strong is either not calm or not patient.
If someone is either not patient or not happy then alice is not curious.
Everyone who is rich is both rich and brave and vice versa.
If someone is not calm or old then susan is either not... | Lucy is not generous. | contradiction | (![X]:((~strong(X)&~rich(X))=>(~happy(X)|creative(X))))&
(![X]:(~strong(X)=>(~calm(X)<~>~patient(X))))&
((?[X]:((~patient(X)<~>~happy(X))))=>(~curious(alice)))&
(![X]:(rich(X)<=>(rich(X)&brave(X))))&
((?[X]:((~calm(X)|old(X))))<=>((~creative(susan)<~>~calm(susan))))&
(((~tall(alice)&wise(alice)))=>((~humble(john)<~>~st... | ~generous(lucy) | [
"p3",
"p8",
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5567001810362788414694928
% SZS output start Proof for 5567001810362788414694928
4. ! [X0] : (rich(X0) <=> (brave(X0) & rich(X0))) [input p3]
9. ? [X0] : (old(X0) | curious(X0)) <=> (rich(lucy) & ~old(lucy)) [input p8]
10. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> funny(X0)) [input p9]
11. ?... | 0 |
Everyone who is either not wise or not calm is either not creative or not calm and vice versa.
If paul is both strong and calm then someone is patient.
If john is both not curious and not calm then someone is tall or funny.
Everyone who is funny or not humble is either not strong or not creative and vice versa.
If some... | Paul is not patient. | contradiction | (![X]:((~wise(X)<~>~calm(X))<=>(~creative(X)<~>~calm(X))))&
(((strong(paul)&calm(paul)))=>(?[X]:(patient(X))))&
(((~curious(john)&~calm(john)))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((funny(X)|~humble(X))<=>(~strong(X)<~>~creative(X))))&
((?[X]:((~kind(X)&~humble(X))))=>((~brave(lucy)&curious(lucy))))&
(![X]:((generous(... | ~patient(paul) | [
"p4",
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7699350337121942377870752
% SZS output start Proof for 7699350337121942377870752
5. ? [X0] : (~humble(X0) & ~kind(X0)) => (curious(lucy) & ~brave(lucy)) [input p4]
6. ! [X0] : ((~generous(X0) & generous(X0)) <=> (~happy(X0) <~> rich(X0))) [input p5]
7. ! [X0] : ((patient(X0) & ~creative(X... | 0 |
If lucy is quiet then someone is both quiet and tall and vice versa.
If someone is both not patient and brave then someone is not creative or not funny and vice versa.
Everyone who is either brave or happy is kind.
If paul is both not strong and curious then someone is curious or calm and vice versa.
If someone is happ... | Susan is tall. | entailment | ((quiet(lucy))<=>(?[X]:((quiet(X)&tall(X)))))&
((?[X]:((~patient(X)&brave(X))))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:((brave(X)<~>happy(X))=>kind(X)))&
(((~strong(paul)&curious(paul)))<=>(?[X]:((curious(X)|calm(X)))))&
((?[X]:(happy(X)))<=>((~tall(susan)<~>funny(susan))))&
((?[X]:(~kind(X)))=>(?[X]:(~rich(X))))&... | tall(susan) | [
"p4",
"p9",
"p10",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1465142765963365934926291
% SZS output start Proof for 1465142765963365934926291
5. ? [X0] : happy(X0) <=> (~tall(susan) <~> funny(susan)) [input p4]
10. ! [X0] : ((~calm(X0) | ~happy(X0)) => (~funny(X0) <~> ~quiet(X0))) [input p9]
11. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (happy(X0) ... | 0 |
If susan is either humble or not humble then john is kind.
Everyone who is either strong or not rich is funny or curious and vice versa.
Everyone who is brave is generous.
If alice is wise then fred is not patient and vice versa.
If john is patient then paul is kind or not humble and vice versa.
Everyone who is both no... | Fred is not quiet. | neutral | (((humble(susan)<~>~humble(susan)))=>(kind(john)))&
(![X]:((strong(X)<~>~rich(X))<=>(funny(X)|curious(X))))&
(![X]:(brave(X)=>generous(X)))&
((wise(alice))<=>(~patient(fred)))&
((patient(john))<=>((kind(paul)|~humble(paul))))&
(![X]:((~quiet(X)&creative(X))=>(~rich(X)&wise(X))))&
(![X]:((~happy(X)<~>~curious(X))<=>(hum... | ~quiet(fred) | [] | null | 0 |
Everyone who is happy is old and vice versa.
Everyone who is not brave is funny and vice versa.
If susan is both humble and patient then someone is not rich.
Everyone who is humble or not creative is both not brave and tall and vice versa.
If someone is tall then mary is either calm or strong.
Everyone who is curious i... | Alice is not tall. | neutral | (![X]:(happy(X)<=>old(X)))&
(![X]:(~brave(X)<=>funny(X)))&
(((humble(susan)&patient(susan)))=>(?[X]:(~rich(X))))&
(![X]:((humble(X)|~creative(X))<=>(~brave(X)&tall(X))))&
((?[X]:(tall(X)))=>((calm(mary)<~>strong(mary))))&
(![X]:(curious(X)<=>happy(X)))&
(![X]:((brave(X)&~kind(X))<=>quiet(X)))&
(![X]:((kind(X)|old(X))<=... | ~tall(alice) | [] | null | 0 |
If someone is not kind then susan is not wise or strong. Everyone who is either not wise or calm is funny or not patient and vice versa. Everyone who is either not creative or generous is both not old and patient and vice versa. Everyone who is creative is not funny and vice versa. Everyone who is kind or creative is b... | Fred is not patient. | contradiction | ((?[X]:(~kind(X)))=>((~wise(susan)|strong(susan))))&
(![X]:((~wise(X)<~>calm(X))<=>(funny(X)|~patient(X))))&
(![X]:((~creative(X)<~>generous(X))<=>(~old(X)&patient(X))))&
(![X]:(creative(X)<=>~funny(X)))&
(![X]:((kind(X)|creative(X))<=>(creative(X)&calm(X))))&
(((wise(alice)|~humble(alice)))=>((~wise(john)<~>~curious(j... | ~patient(fred) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5847051898298520237946823
% SZS output start Proof for 5847051898298520237946823
2. ! [X0] : ((~wise(X0) <~> calm(X0)) <=> (~patient(X0) | funny(X0))) [input p1]
3. ! [X0] : ((~creative(X0) <~> generous(X0)) <=> (patient(X0) & ~old(X0))) [input p2]
4. ! [X0] : (creative(X0) <=> ~funny(X0)... | 0 |
Everyone who is funny or not wise is creative.
Everyone who is both humble and not brave is either not happy or wise.
If someone is not brave then lucy is tall.
Everyone who is either not happy or not brave is either not rich or not tall and vice versa.
Everyone who is patient is both not kind and humble and vice versa... | Alice is not generous. | contradiction | (![X]:((funny(X)|~wise(X))=>creative(X)))&
(![X]:((humble(X)&~brave(X))=>(~happy(X)<~>wise(X))))&
((?[X]:(~brave(X)))=>(tall(lucy)))&
(![X]:((~happy(X)<~>~brave(X))<=>(~rich(X)<~>~tall(X))))&
(![X]:(patient(X)<=>(~kind(X)&humble(X))))&
(![X]:((tall(X)|~rich(X))=>strong(X)))&
((?[X]:(~patient(X)))=>(?[X]:((creative(X)<~... | ~generous(alice) | [
"p1",
"p3",
"p4",
"p5",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 620391363682438499598602
% SZS output start Proof for 620391363682438499598602
2. ! [X0] : ((~brave(X0) & humble(X0)) => (~happy(X0) <~> wise(X0))) [input p1]
4. ! [X0] : ((~happy(X0) <~> ~brave(X0)) <=> (~rich(X0) <~> ~tall(X0))) [input p3]
5. ! [X0] : (patient(X0) <=> (humble(X0) & ~kin... | 0 |
Everyone who is brave or not generous is not calm and vice versa.
Everyone who is not wise or not calm is both not brave and brave and vice versa.
If fred is either not calm or creative then someone is either happy or curious and vice versa.
Everyone who is rich or strong is kind or not quiet.
Everyone who is not quiet... | Paul is strong. | entailment | (![X]:((brave(X)|~generous(X))<=>~calm(X)))&
(![X]:((~wise(X)|~calm(X))<=>(~brave(X)&brave(X))))&
(((~calm(fred)<~>creative(fred)))<=>(?[X]:((happy(X)<~>curious(X)))))&
(![X]:((rich(X)|strong(X))=>(kind(X)|~quiet(X))))&
(![X]:(~quiet(X)=>(patient(X)|~calm(X))))&
(((~quiet(john)<~>~funny(john)))=>((happy(alice)<~>wise(a... | strong(paul) | [
"p0",
"p1",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 275722303175421455336820
% SZS output start Proof for 275722303175421455336820
1. ! [X0] : ((~generous(X0) | brave(X0)) <=> ~calm(X0)) [input p0]
2. ! [X0] : ((~calm(X0) | ~wise(X0)) <=> (brave(X0) & ~brave(X0))) [input p1]
11. ! [X0] : ((~calm(X0) <~> ~strong(X0)) => (wise(X0) & ~generou... | 0 |
If someone is patient then someone is not kind and vice versa. If fred is generous then fred is not brave. Everyone who is not brave or brave is either creative or curious. Everyone who is both brave and rich is both rich and not funny and vice versa. Everyone who is both tall and not kind is both not generous and crea... | Susan is quiet. | contradiction | ((?[X]:(patient(X)))<=>(?[X]:(~kind(X))))&
((generous(fred))=>(~brave(fred)))&
(![X]:((~brave(X)|brave(X))=>(creative(X)<~>curious(X))))&
(![X]:((brave(X)&rich(X))<=>(rich(X)&~funny(X))))&
(![X]:((tall(X)&~kind(X))<=>(~generous(X)&creative(X))))&
(![X]:((curious(X)<~>generous(X))=>(tall(X)<~>wise(X))))&
((?[X]:((~calm(... | quiet(susan) | [
"p2",
"p7",
"p8",
"p9",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4614749460790254422672844
% SZS output start Proof for 4614749460790254422672844
3. ! [X0] : ((brave(X0) | ~brave(X0)) => (creative(X0) <~> curious(X0))) [input p2]
8. ! [X0] : ((funny(X0) & ~calm(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p7]
9. ! [X0] : ((generous(X0) | ~brave(X0))... | 0 |
If fred is both brave and not old then fred is not happy and vice versa. If someone is wise or old then someone is not happy or not patient and vice versa. Everyone who is either wise or calm is both tall and humble and vice versa. Everyone who is curious is both funny and calm and vice versa. Everyone who is not happy... | Alice is calm. | contradiction | (((brave(fred)&~old(fred)))<=>(~happy(fred)))&
((?[X]:((wise(X)|old(X))))<=>(?[X]:((~happy(X)|~patient(X)))))&
(![X]:((wise(X)<~>calm(X))<=>(tall(X)&humble(X))))&
(![X]:(curious(X)<=>(funny(X)&calm(X))))&
(![X]:((~happy(X)|kind(X))<=>(~patient(X)&~happy(X))))&
(![X]:((~calm(X)&~rich(X))<=>(~calm(X)|calm(X))))&
(![X]:((... | calm(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 750863517655270158864422
% SZS output start Proof for 750863517655270158864422
6. ! [X0] : ((~rich(X0) & ~calm(X0)) <=> (calm(X0) | ~calm(X0))) [input p5]
22. calm(alice) [input hypothesis]
43. ! [X0] : (((~rich(X0) & ~calm(X0)) | (~calm(X0) & calm(X0))) & ((calm(X0) | ~calm(X0)) | (rich(... | 0 |
If susan is both not wise and not tall then someone is either not wise or humble. Everyone who is not calm or tall is either curious or humble and vice versa. If susan is not generous or generous then mary is both not old and not kind and vice versa. If mary is curious then paul is either not curious or not patient. If... | Mary is creative. | contradiction | (((~wise(susan)&~tall(susan)))=>(?[X]:((~wise(X)<~>humble(X)))))&
(![X]:((~calm(X)|tall(X))<=>(curious(X)<~>humble(X))))&
(((~generous(susan)|generous(susan)))<=>((~old(mary)&~kind(mary))))&
((curious(mary))=>((~curious(paul)<~>~patient(paul))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(~brave(mary)))&
(![X]:((happy(X)<... | creative(mary) | [
"p2",
"p5",
"p6",
"p7",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3317658349415921288143266
% SZS output start Proof for 3317658349415921288143266
3. (generous(susan) | ~generous(susan)) <=> (~kind(mary) & ~old(mary)) [input p2]
6. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (generous(X0) & creative(X0))) [input p5]
7. ! [X0] : ((~happy(X0) | kind(X0)) <=> (... | 0 |
Everyone who is patient or not patient is calm or tall.
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 versa.
If someone is wise or kind then someone is both quiet and calm and vice versa.
I... | Lucy is not patient. | neutral | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(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(lucy)&wise(lucy)))<=>(quiet(susan)))&
(((curious(alice)|... | ~patient(lucy) | [] | null | 0 |
Everyone who is both not humble and not wise is not generous and vice versa. If susan is rich or humble then lucy is both funny and not strong and vice versa. Everyone who is not tall is either not humble or kind. Everyone who is both creative and not rich is either creative or funny and vice versa. Everyone who is qui... | John is tall. | neutral | (![X]:((~humble(X)&~wise(X))<=>~generous(X)))&
(((rich(susan)|humble(susan)))<=>((funny(lucy)&~strong(lucy))))&
(![X]:(~tall(X)=>(~humble(X)<~>kind(X))))&
(![X]:((creative(X)&~rich(X))<=>(creative(X)<~>funny(X))))&
(![X]:((quiet(X)|happy(X))=>(patient(X)&rich(X))))&
(![X]:(~generous(X)<=>(~tall(X)<~>~funny(X))))&
((?[X... | tall(john) | [] | null | 0 |
If someone is not curious or curious then someone is not brave or not creative.
If lucy is either happy or creative then alice is kind.
If mary is both not quiet and tall then someone is not creative or not happy and vice versa.
If lucy is both not creative and kind then someone is either patient or not old.
If someone... | Fred is happy. | neutral | ((?[X]:((~curious(X)|curious(X))))=>(?[X]:((~brave(X)|~creative(X)))))&
(((happy(lucy)<~>creative(lucy)))=>(kind(alice)))&
(((~quiet(mary)&tall(mary)))<=>(?[X]:((~creative(X)|~happy(X)))))&
(((~creative(lucy)&kind(lucy)))=>(?[X]:((patient(X)<~>~old(X)))))&
((?[X]:((tall(X)|patient(X))))<=>((funny(alice)<~>quiet(alice))... | happy(fred) | [] | null | 0 |
Everyone who is not generous or not strong is both not rich and kind.
Everyone who is not funny is funny or not strong and vice versa.
Everyone who is both patient and creative is both not kind and funny and vice versa.
Everyone who is rich or tall is either generous or brave.
Everyone who is not creative is not tall a... | Paul is not brave. | entailment | (![X]:((~generous(X)|~strong(X))=>(~rich(X)&kind(X))))&
(![X]:(~funny(X)<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&creative(X))<=>(~kind(X)&funny(X))))&
(![X]:((rich(X)|tall(X))=>(generous(X)<~>brave(X))))&
(![X]:(~creative(X)<=>~tall(X)))&
(((~old(susan)&~rich(susan)))<=>(?[X]:((funny(X)&patient(X)))))&
(![X]:((~h... | ~brave(paul) | [
"p0",
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2745484456857547528887529
% SZS output start Proof for 2745484456857547528887529
1. ! [X0] : ((~strong(X0) | ~generous(X0)) => (kind(X0) & ~rich(X0))) [input p0]
2. ! [X0] : (~funny(X0) <=> (~strong(X0) | funny(X0))) [input p1]
9. (~funny(paul) & brave(paul)) <=> ? [X0] : (~curious(X0) & ... | 0 |
Everyone who is both not wise and not generous is either generous or not funny.
If alice is either not patient or not brave then lucy is both patient and not kind.
Everyone who is rich is either funny or not strong.
If fred is creative then someone is either wise or old and vice versa.
Everyone who is either not old or... | John is curious. | contradiction | (![X]:((~wise(X)&~generous(X))=>(generous(X)<~>~funny(X))))&
(((~patient(alice)<~>~brave(alice)))=>((patient(lucy)&~kind(lucy))))&
(![X]:(rich(X)=>(funny(X)<~>~strong(X))))&
((creative(fred))<=>(?[X]:((wise(X)<~>old(X)))))&
(![X]:((~old(X)<~>patient(X))=>~wise(X)))&
(![X]:((generous(X)<~>~generous(X))=>(curious(X)|~fun... | curious(john) | [
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1622378992012055875495873
% SZS output start Proof for 1622378992012055875495873
9. ! [X0] : ((~curious(X0) & ~brave(X0)) <=> ~happy(X0)) [input p8]
19. ~happy(john) [input p18]
25. curious(john) [input hypothesis]
58. ! [X0] : (((~curious(X0) & ~brave(X0)) | happy(X0)) & (~happy(X0) | (c... | 0 |
Everyone who is happy is both funny and generous and vice versa. Everyone who is not brave is not wise or generous and vice versa. Everyone who is curious is either not patient or tall. Everyone who is not strong is either rich or not old and vice versa. If john is both not curious and not humble then someone is not hu... | Lucy is old. | entailment | (![X]:(happy(X)<=>(funny(X)&generous(X))))&
(![X]:(~brave(X)<=>(~wise(X)|generous(X))))&
(![X]:(curious(X)=>(~patient(X)<~>tall(X))))&
(![X]:(~strong(X)<=>(rich(X)<~>~old(X))))&
(((~curious(john)&~humble(john)))<=>(?[X]:(~humble(X))))&
(![X]:((~patient(X)|~creative(X))=>(~calm(X)<~>~happy(X))))&
((?[X]:(patient(X)))<=>... | old(lucy) | [
"p7",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5712627393427146878191897
% SZS output start Proof for 5712627393427146878191897
8. ! [X0] : ((kind(X0) | ~calm(X0)) <=> (~calm(X0) <~> ~wise(X0))) [input p7]
10. ! [X0] : ((~generous(X0) | ~rich(X0)) => (generous(X0) & ~calm(X0))) [input p9]
13. ! [X0] : ((generous(X0) | ~brave(X0)) <=> ... | 0 |
If someone is funny or not rich then fred is both patient and not strong.
If someone is quiet then someone is either not calm or quiet and vice versa.
Everyone who is not tall is either funny or not happy and vice versa.
Everyone who is tall or not calm is not calm or not strong.
Everyone who is either strong or not br... | Fred is strong. | contradiction | ((?[X]:((funny(X)|~rich(X))))=>((patient(fred)&~strong(fred))))&
((?[X]:(quiet(X)))<=>(?[X]:((~calm(X)<~>quiet(X)))))&
(![X]:(~tall(X)<=>(funny(X)<~>~happy(X))))&
(![X]:((tall(X)|~calm(X))=>(~calm(X)|~strong(X))))&
(![X]:((strong(X)<~>~brave(X))=>~brave(X)))&
(((humble(susan)<~>generous(susan)))=>((~calm(john)|brave(jo... | strong(fred) | [
"p0",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1223261026587286350619287
% SZS output start Proof for 1223261026587286350619287
1. ? [X0] : (~rich(X0) | funny(X0)) => (~strong(fred) & patient(fred)) [input p0]
11. ! [X0] : (rich(X0) <=> (patient(X0) & ~happy(X0))) [input p10]
18. happy(fred) & old(fred) [input p17]
24. strong(fred) [i... | 0 |
If john is not generous then alice is not humble or wise and vice versa.
Everyone who is not tall is not curious and vice versa.
Everyone who is not happy or not generous is patient or not tall and vice versa.
If someone is not wise then alice is both tall and not strong and vice versa.
Everyone who is kind is not gene... | Fred is not brave. | neutral | ((~generous(john))<=>((~humble(alice)|wise(alice))))&
(![X]:(~tall(X)<=>~curious(X)))&
(![X]:((~happy(X)|~generous(X))<=>(patient(X)|~tall(X))))&
((?[X]:(~wise(X)))<=>((tall(alice)&~strong(alice))))&
(![X]:(kind(X)<=>~generous(X)))&
(![X]:((~generous(X)&~tall(X))<=>(~strong(X)<~>~humble(X))))&
(![X]:((patient(X)|~old(X... | ~brave(fred) | [] | null | 0 |
If susan is either not wise or not strong then someone is both not patient and rich and vice versa. If someone is curious then susan is not brave or rich and vice versa. If alice is kind then someone is not strong or not curious and vice versa. Everyone who is both brave and not strong is patient or not quiet and vice ... | Susan is not kind. | entailment | (((~wise(susan)<~>~strong(susan)))<=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:(curious(X)))<=>((~brave(susan)|rich(susan))))&
((kind(alice))<=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((brave(X)&~strong(X))<=>(patient(X)|~quiet(X))))&
(((funny(mary)&~tall(mary)))<=>(patient(mary)))&
(((~quiet(paul)&~rich(paul)))<=>(?[X... | ~kind(susan) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7805950530532243285783450
% SZS output start Proof for 7805950530532243285783450
8. ! [X0] : ((~rich(X0) | rich(X0)) => ~kind(X0)) [input p7]
23. kind(susan) [input hypothesis]
25. ! [X0] : (~kind(X0) | (rich(X0) & ~rich(X0))) [ennf transformation 8]
102. ~kind(X0) | ~rich(X0) [cnf transf... | 0 |
If alice is not rich then someone is both not old and old. If someone is not wise then mary is either not brave or curious and vice versa. Everyone who is either brave or not brave is not patient and vice versa. If someone is either creative or not wise then john is wise or not happy and vice versa. Everyone who is qui... | Susan is not quiet. | entailment | ((~rich(alice))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:(~wise(X)))<=>((~brave(mary)<~>curious(mary))))&
(![X]:((brave(X)<~>~brave(X))<=>~patient(X)))&
((?[X]:((creative(X)<~>~wise(X))))<=>((wise(john)|~happy(john))))&
(![X]:((quiet(X)|tall(X))<=>(~quiet(X)&happy(X))))&
(![X]:(generous(X)=>(tall(X)<~>~humble(X))))&
((?[X]:... | ~quiet(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4087293426779887863518032
% SZS output start Proof for 4087293426779887863518032
5. ! [X0] : ((tall(X0) | quiet(X0)) <=> (happy(X0) & ~quiet(X0))) [input p4]
23. quiet(susan) [input hypothesis]
41. ! [X0] : (((tall(X0) | quiet(X0)) | (~happy(X0) | quiet(X0))) & ((happy(X0) & ~quiet(X0)) |... | 0 |
If someone is kind or happy then lucy is either not calm or curious and vice versa.
Everyone who is either rich or patient is either not patient or not funny.
If paul is either not patient or not rich then fred is both not curious and not funny.
Everyone who is not quiet is not brave or happy and vice versa.
Everyone w... | Paul is curious. | entailment | ((?[X]:((kind(X)|happy(X))))<=>((~calm(lucy)<~>curious(lucy))))&
(![X]:((rich(X)<~>patient(X))=>(~patient(X)<~>~funny(X))))&
(((~patient(paul)<~>~rich(paul)))=>((~curious(fred)&~funny(fred))))&
(![X]:(~quiet(X)<=>(~brave(X)|happy(X))))&
(![X]:((~curious(X)<~>happy(X))=>(humble(X)<~>~happy(X))))&
((?[X]:((tall(X)|curiou... | curious(paul) | [
"p4",
"p6",
"p8",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2492133301860458077525777
% SZS output start Proof for 2492133301860458077525777
5. ! [X0] : ((~curious(X0) <~> happy(X0)) => (humble(X0) <~> ~happy(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & patient(X0)) <=> (kind(X0) <~> humble(X0))) [input p6]
9. ! [X0] : ((~kind(X0) & ~old(X0)) <=> (... | 0 |
If lucy is both not patient and not creative then someone is not creative or not funny.
If john is not calm or not creative then paul is either funny or not generous.
Everyone who is old is old or generous and vice versa.
If john is funny then lucy is not happy or wise and vice versa.
If someone is not kind or not happ... | Fred is brave. | entailment | (((~patient(lucy)&~creative(lucy)))=>(?[X]:((~creative(X)|~funny(X)))))&
(((~calm(john)|~creative(john)))=>((funny(paul)<~>~generous(paul))))&
(![X]:(old(X)<=>(old(X)|generous(X))))&
((funny(john))<=>((~happy(lucy)|wise(lucy))))&
((?[X]:((~kind(X)|~happy(X))))<=>(?[X]:(quiet(X))))&
((?[X]:((patient(X)&~quiet(X))))=>(?[... | brave(fred) | [
"p2",
"p11",
"p15",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7869753121090558109403314
% SZS output start Proof for 7869753121090558109403314
3. ! [X0] : (old(X0) <=> (generous(X0) | old(X0))) [input p2]
12. ! [X0] : ((generous(X0) & wise(X0)) <=> (~brave(X0) | ~calm(X0))) [input p11]
16. ! [X0] : ((old(X0) <~> ~wise(X0)) => (happy(X0) & ~funny(X0)... | 0 |
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