premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not rich is both not curious and not tall and vice versa. Everyone who is both quiet and not kind is not strong or brave and vice versa. Everyone who is both not curious and tall is not generous or curious and vice versa. Everyone who is both not brave and calm is both calm and not calm. Everyone who is... | Paul is not tall. | contradiction | (![X]:(~rich(X)<=>(~curious(X)&~tall(X))))&
(![X]:((quiet(X)&~kind(X))<=>(~strong(X)|brave(X))))&
(![X]:((~curious(X)&tall(X))<=>(~generous(X)|curious(X))))&
(![X]:((~brave(X)&calm(X))=>(calm(X)&~calm(X))))&
(![X]:((calm(X)&~strong(X))=>(happy(X)&creative(X))))&
((?[X]:((~creative(X)&funny(X))))<=>((~strong(fred)<~>kin... | ~tall(paul) | [
"p1",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4744533294331080093997633
% SZS output start Proof for 4744533294331080093997633
2. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (brave(X0) | ~strong(X0))) [input p1]
7. ! [X0] : (quiet(X0) => brave(X0)) [input p6]
9. ! [X0] : ((brave(X0) | creative(X0)) <=> ~brave(X0)) [input p8]
10. ! [X0] : (... | 0 |
If someone is quiet then paul is not humble. Everyone who is both funny and not brave is both not old and creative and vice versa. Everyone who is both happy and tall is patient. If someone is both curious and generous then lucy is generous. If someone is old or not curious then john is old or not generous. Everyone wh... | Paul is rich. | entailment | ((?[X]:(quiet(X)))=>(~humble(paul)))&
(![X]:((funny(X)&~brave(X))<=>(~old(X)&creative(X))))&
(![X]:((happy(X)&tall(X))=>patient(X)))&
((?[X]:((curious(X)&generous(X))))=>(generous(lucy)))&
((?[X]:((old(X)|~curious(X))))=>((old(john)|~generous(john))))&
(![X]:(rich(X)<=>(happy(X)|funny(X))))&
(((~curious(alice)&~brave(a... | rich(paul) | [
"p0",
"p5",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3911677054315421769739914
% SZS output start Proof for 3911677054315421769739914
1. ? [X0] : quiet(X0) => ~humble(paul) [input p0]
6. ! [X0] : (rich(X0) <=> (funny(X0) | happy(X0))) [input p5]
10. ! [X0] : (~humble(X0) => (~brave(X0) & funny(X0))) [input p9]
16. ! [X0] : (quiet(X0) <=> ~o... | 0 |
Everyone who is both strong and old is not rich and vice versa.
If someone is not quiet then alice is not tall.
If someone is not creative then someone is either strong or not creative.
Everyone who is brave is either not creative or not patient and vice versa.
If someone is either quiet or not curious then someone is ... | Lucy is not happy. | entailment | (![X]:((strong(X)&old(X))<=>~rich(X)))&
((?[X]:(~quiet(X)))=>(~tall(alice)))&
((?[X]:(~creative(X)))=>(?[X]:((strong(X)<~>~creative(X)))))&
(![X]:(brave(X)<=>(~creative(X)<~>~patient(X))))&
((?[X]:((quiet(X)<~>~curious(X))))=>(?[X]:(~generous(X))))&
(![X]:((happy(X)<~>~brave(X))<=>old(X)))&
(![X]:((brave(X)|~funny(X))<... | ~happy(lucy) | [
"p0",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6204661648415168241212620
% SZS output start Proof for 6204661648415168241212620
1. ! [X0] : ((old(X0) & strong(X0)) <=> ~rich(X0)) [input p0]
8. ! [X0] : ((old(X0) | humble(X0)) => (~curious(X0) & rich(X0))) [input p7]
19. ~happy(lucy) <~> ~rich(lucy) [input p18]
25. happy(lucy) [input h... | 0 |
If john is both not brave and curious then someone is creative and vice versa. Everyone who is not wise or brave is brave or not old and vice versa. Everyone who is funny or not generous is both patient and old. Everyone who is either not funny or wise is brave and vice versa. Everyone who is wise or not kind is not pa... | John is not rich. | neutral | (((~brave(john)&curious(john)))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|brave(X))<=>(brave(X)|~old(X))))&
(![X]:((funny(X)|~generous(X))=>(patient(X)&old(X))))&
(![X]:((~funny(X)<~>wise(X))<=>brave(X)))&
(![X]:((wise(X)|~kind(X))<=>~patient(X)))&
(![X]:(creative(X)=>patient(X)))&
((?[X]:((~generous(X)|rich(X))))=>(?[... | ~rich(john) | [] | null | 0 |
Everyone who is both quiet and happy is either not wise or not creative and vice versa.
Everyone who is quiet is either not patient or not happy and vice versa.
Everyone who is quiet or not curious is not wise.
Everyone who is either not wise or not kind is both funny and not kind.
If someone is not curious then someon... | John is calm. | neutral | (![X]:((quiet(X)&happy(X))<=>(~wise(X)<~>~creative(X))))&
(![X]:(quiet(X)<=>(~patient(X)<~>~happy(X))))&
(![X]:((quiet(X)|~curious(X))=>~wise(X)))&
(![X]:((~wise(X)<~>~kind(X))=>(funny(X)&~kind(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(~old(X))))&
(![X]:((~humble(X)&quiet(X))<=>(happy(X)<~>~calm(X))))&
(![X]:(~patient(X)=>... | calm(john) | [] | null | 0 |
Everyone who is not tall or not calm is rich.
Everyone who is calm is brave and vice versa.
If someone is both not rich and not brave then john is not calm or quiet.
If paul is not generous then paul is not calm and vice versa.
If john is curious then someone is rich.
If someone is strong or brave then mary is either n... | Paul is not old. | contradiction | (![X]:((~tall(X)|~calm(X))=>rich(X)))&
(![X]:(calm(X)<=>brave(X)))&
((?[X]:((~rich(X)&~brave(X))))=>((~calm(john)|quiet(john))))&
((~generous(paul))<=>(~calm(paul)))&
((curious(john))=>(?[X]:(rich(X))))&
((?[X]:((strong(X)|brave(X))))<=>((~strong(mary)<~>~curious(mary))))&
((quiet(paul))=>(?[X]:((~strong(X)<~>~rich(X))... | ~old(paul) | [
"p1",
"p3",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4470097631044271559463739
% SZS output start Proof for 4470097631044271559463739
2. ! [X0] : (calm(X0) <=> brave(X0)) [input p1]
4. ~generous(paul) <=> ~calm(paul) [input p3]
8. ? [X0] : (curious(X0) <~> ~old(X0)) <=> (brave(paul) <~> generous(paul)) [input p7]
11. ! [X0] : ((~curious(X0)... | 0 |
Everyone who is old or funny is both not generous and not quiet and vice versa.
If lucy is rich then paul is either tall or generous and vice versa.
Everyone who is not brave is patient or wise and vice versa.
If someone is generous then someone is both not humble and not patient and vice versa.
Everyone who is generou... | Lucy is kind. | neutral | (![X]:((old(X)|funny(X))<=>(~generous(X)&~quiet(X))))&
((rich(lucy))<=>((tall(paul)<~>generous(paul))))&
(![X]:(~brave(X)<=>(patient(X)|wise(X))))&
((?[X]:(generous(X)))<=>(?[X]:((~humble(X)&~patient(X)))))&
(![X]:((generous(X)|~rich(X))=>(~creative(X)<~>funny(X))))&
(![X]:((rich(X)<~>~humble(X))=>(strong(X)|brave(X)))... | kind(lucy) | [] | null | 0 |
Everyone who is quiet is not rich or not old and vice versa. Everyone who is funny or strong is generous. Everyone who is not calm is creative or not old. If someone is not happy then someone is either not brave or not humble and vice versa. If john is either not curious or not patient then susan is not calm. Everyone ... | Lucy is creative. | entailment | (![X]:(quiet(X)<=>(~rich(X)|~old(X))))&
(![X]:((funny(X)|strong(X))=>generous(X)))&
(![X]:(~calm(X)=>(creative(X)|~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~brave(X)<~>~humble(X)))))&
(((~curious(john)<~>~patient(john)))=>(~calm(susan)))&
(![X]:((funny(X)|~kind(X))=>(~generous(X)<~>~wise(X))))&
(((~humble(susan)|kind(s... | creative(lucy) | [
"p0",
"p1",
"p2",
"p9",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7675546753465886807648423
% SZS output start Proof for 7675546753465886807648423
1. ! [X0] : (quiet(X0) <=> (~old(X0) | ~rich(X0))) [input p0]
2. ! [X0] : ((strong(X0) | funny(X0)) => generous(X0)) [input p1]
3. ! [X0] : (~calm(X0) => (~old(X0) | creative(X0))) [input p2]
10. ! [X0] : ((h... | 0 |
Everyone who is quiet is tall or curious and vice versa.
Everyone who is both not patient and not brave is old or not curious and vice versa.
Everyone who is both not brave and not humble is not humble.
Everyone who is either not quiet or old is not creative and vice versa.
Everyone who is both not strong and not quiet... | Paul is not quiet. | neutral | (![X]:(quiet(X)<=>(tall(X)|curious(X))))&
(![X]:((~patient(X)&~brave(X))<=>(old(X)|~curious(X))))&
(![X]:((~brave(X)&~humble(X))=>~humble(X)))&
(![X]:((~quiet(X)<~>old(X))<=>~creative(X)))&
(![X]:((~strong(X)&~quiet(X))=>(~strong(X)&creative(X))))&
((?[X]:((kind(X)<~>~patient(X))))<=>(?[X]:((~old(X)&generous(X)))))&
((... | ~quiet(paul) | [] | null | 0 |
If someone is both not rich and not strong then mary is not brave.
Everyone who is not old is either tall or not patient and vice versa.
Everyone who is both not kind and not humble is either generous or not kind and vice versa.
If someone is not strong then someone is not brave.
If paul is humble or wise then someone ... | John is not creative. | neutral | ((?[X]:((~rich(X)&~strong(X))))=>(~brave(mary)))&
(![X]:(~old(X)<=>(tall(X)<~>~patient(X))))&
(![X]:((~kind(X)&~humble(X))<=>(generous(X)<~>~kind(X))))&
((?[X]:(~strong(X)))=>(?[X]:(~brave(X))))&
(((humble(paul)|wise(paul)))<=>(?[X]:(~curious(X))))&
(![X]:((quiet(X)&calm(X))<=>(strong(X)&~old(X))))&
(((generous(fred)&~... | ~creative(john) | [] | null | 0 |
Everyone who is both not strong and not quiet is not creative.
Everyone who is not old or happy is both not funny and tall and vice versa.
If someone is both happy and old then fred is rich or tall.
If someone is either humble or not generous then someone is strong or not happy.
Everyone who is not kind is both not tal... | Lucy is not wise. | neutral | (![X]:((~strong(X)&~quiet(X))=>~creative(X)))&
(![X]:((~old(X)|happy(X))<=>(~funny(X)&tall(X))))&
((?[X]:((happy(X)&old(X))))=>((rich(fred)|tall(fred))))&
((?[X]:((humble(X)<~>~generous(X))))=>(?[X]:((strong(X)|~happy(X)))))&
(![X]:(~kind(X)=>(~tall(X)&~quiet(X))))&
(![X]:(generous(X)=>(~old(X)<~>~quiet(X))))&
((?[X]:(... | ~wise(lucy) | [] | null | 0 |
If mary is not quiet then someone is tall or not quiet and vice versa.
Everyone who is not humble or creative is either not tall or patient.
Everyone who is not quiet or not happy is calm and vice versa.
If fred is not kind or kind then susan is not brave and vice versa.
If someone is not wise then lucy is either not p... | Paul is quiet. | entailment | ((~quiet(mary))<=>(?[X]:((tall(X)|~quiet(X)))))&
(![X]:((~humble(X)|creative(X))=>(~tall(X)<~>patient(X))))&
(![X]:((~quiet(X)|~happy(X))<=>calm(X)))&
(((~kind(fred)|kind(fred)))<=>(~brave(susan)))&
((?[X]:(~wise(X)))<=>((~patient(lucy)<~>wise(lucy))))&
(((~calm(alice)<~>funny(alice)))<=>(?[X]:((~calm(X)|~funny(X)))))&... | quiet(paul) | [
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3248574193340989785358980
% SZS output start Proof for 3248574193340989785358980
7. ! [X0] : ((wise(X0) | ~quiet(X0)) => (old(X0) & brave(X0))) [input p6]
18. ~old(paul) [input p17]
25. ~quiet(paul) [input hypothesis]
27. ! [X0] : ((old(X0) & brave(X0)) | (~wise(X0) & quiet(X0))) [ennf tr... | 0 |
If john is both not strong and not patient then someone is tall or not patient and vice versa. Everyone who is not rich or curious is either old or rich and vice versa. If susan is not calm then john is brave. Everyone who is not quiet or creative is either not tall or not creative and vice versa. If someone is not fun... | John is quiet. | entailment | (((~strong(john)&~patient(john)))<=>(?[X]:((tall(X)|~patient(X)))))&
(![X]:((~rich(X)|curious(X))<=>(old(X)<~>rich(X))))&
((~calm(susan))=>(brave(john)))&
(![X]:((~quiet(X)|creative(X))<=>(~tall(X)<~>~creative(X))))&
((?[X]:(~funny(X)))<=>(calm(alice)))&
(![X]:((creative(X)&old(X))=>(~calm(X)&~curious(X))))&
(((~old(jo... | quiet(john) | [
"p0",
"p1",
"p3",
"p5",
"p7",
"p12",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2138513758743714837459155
% SZS output start Proof for 2138513758743714837459155
1. (~patient(john) & ~strong(john)) <=> ? [X0] : (~patient(X0) | tall(X0)) [input p0]
2. ! [X0] : ((curious(X0) | ~rich(X0)) <=> (old(X0) <~> rich(X0))) [input p1]
4. ! [X0] : ((creative(X0) | ~quiet(X0)) <=>... | 0 |
Everyone who is both not humble and strong is both tall and not brave. If someone is funny or curious then lucy is not humble or patient and vice versa. If someone is kind or rich then someone is either wise or not creative and vice versa. If susan is humble or patient then someone is both happy and not curious. If som... | Susan is not patient. | entailment | (![X]:((~humble(X)&strong(X))=>(tall(X)&~brave(X))))&
((?[X]:((funny(X)|curious(X))))<=>((~humble(lucy)|patient(lucy))))&
((?[X]:((kind(X)|rich(X))))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susan)))=>(?[X]:((happy(X)&~curious(X)))))&
((?[X]:(~calm(X)))=>((curious(mary)<~>~patient(mary))))&
(![X]:... | ~patient(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5405492117350498917749808
% SZS output start Proof for 5405492117350498917749808
10. ! [X0] : (~creative(X0) <=> (patient(X0) <~> ~creative(X0))) [input p9]
23. patient(susan) [input hypothesis]
63. ! [X0] : ((~creative(X0) | ((patient(X0) | creative(X0)) & (~creative(X0) | ~patient(X0)))... | 0 |
Everyone who is both not strong and not rich is not happy or creative.
Everyone who is tall is not tall.
If john is either humble or not strong then fred is either patient or calm and vice versa.
Everyone who is either not kind or not humble is not kind.
If mary is both rich and funny then someone is not quiet or funny... | Fred is humble. | neutral | (![X]:((~strong(X)&~rich(X))=>(~happy(X)|creative(X))))&
(![X]:(tall(X)=>~tall(X)))&
(((humble(john)<~>~strong(john)))<=>((patient(fred)<~>calm(fred))))&
(![X]:((~kind(X)<~>~humble(X))=>~kind(X)))&
(((rich(mary)&funny(mary)))=>(?[X]:((~quiet(X)|funny(X)))))&
((?[X]:(kind(X)))=>(?[X]:((~wise(X)&happy(X)))))&
((?[X]:((wi... | humble(fred) | [] | null | 0 |
If someone is kind then someone is either wise or patient and vice versa. Everyone who is not creative is brave or not calm and vice versa. Everyone who is not generous or not creative is old or not humble. If someone is either not funny or creative then someone is not humble and vice versa. Everyone who is either kind... | Fred is funny. | entailment | ((?[X]:(kind(X)))<=>(?[X]:((wise(X)<~>patient(X)))))&
(![X]:(~creative(X)<=>(brave(X)|~calm(X))))&
(![X]:((~generous(X)|~creative(X))=>(old(X)|~humble(X))))&
((?[X]:((~funny(X)<~>creative(X))))<=>(?[X]:(~humble(X))))&
(![X]:((kind(X)<~>curious(X))=>(~creative(X)&~kind(X))))&
(![X]:((~calm(X)&~generous(X))=>(rich(X)&~st... | funny(fred) | [
"p4",
"p6",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5007004273237308059427682
% SZS output start Proof for 5007004273237308059427682
5. ! [X0] : ((kind(X0) <~> curious(X0)) => (~kind(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((~funny(X0) | ~calm(X0)) <=> (rich(X0) & kind(X0))) [input p6]
11. ! [X0] : ((~funny(X0) & patient(X0)) => old(X... | 0 |
If fred is tall or not patient then paul is not kind or happy and vice versa. Everyone who is quiet is kind. Everyone who is either rich or funny is either strong or generous and vice versa. Everyone who is either tall or creative is quiet or not strong. Everyone who is both not tall and wise is not curious and vice ve... | Paul is not quiet. | entailment | (((tall(fred)|~patient(fred)))<=>((~kind(paul)|happy(paul))))&
(![X]:(quiet(X)=>kind(X)))&
(![X]:((rich(X)<~>funny(X))<=>(strong(X)<~>generous(X))))&
(![X]:((tall(X)<~>creative(X))=>(quiet(X)|~strong(X))))&
(![X]:((~tall(X)&wise(X))<=>~curious(X)))&
(![X]:(generous(X)<=>(brave(X)|old(X))))&
(![X]:((~rich(X)|brave(X))<=... | ~quiet(paul) | [
"p5",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8712404688983749279995791
% SZS output start Proof for 8712404688983749279995791
6. ! [X0] : (generous(X0) <=> (old(X0) | brave(X0))) [input p5]
11. ! [X0] : ((generous(X0) & kind(X0)) <=> (tall(X0) | ~brave(X0))) [input p10]
14. ? [X0] : (quiet(X0) | ~creative(X0)) <=> ~generous(john) [i... | 0 |
If mary is both not creative and not calm then someone is either old or not brave and vice versa.
Everyone who is either brave or not wise is not funny or strong and vice versa.
Everyone who is quiet is not funny and vice versa.
Everyone who is not creative is either strong or patient and vice versa.
Everyone who is bo... | Mary is brave. | contradiction | (((~creative(mary)&~calm(mary)))<=>(?[X]:((old(X)<~>~brave(X)))))&
(![X]:((brave(X)<~>~wise(X))<=>(~funny(X)|strong(X))))&
(![X]:(quiet(X)<=>~funny(X)))&
(![X]:(~creative(X)<=>(strong(X)<~>patient(X))))&
(![X]:((~wise(X)&~brave(X))<=>brave(X)))&
(![X]:((kind(X)&~old(X))=>(~kind(X)&humble(X))))&
(((~patient(lucy)&creati... | brave(mary) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7689789864184120455200100
% SZS output start Proof for 7689789864184120455200100
5. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> brave(X0)) [input p4]
20. brave(mary) [input hypothesis]
37. ! [X0] : (((~brave(X0) & ~wise(X0)) | ~brave(X0)) & (brave(X0) | (brave(X0) | wise(X0)))) [nnf transforma... | 0 |
Everyone who is either patient or brave is both strong and not strong.
If alice is not generous or patient then someone is old or brave and vice versa.
Everyone who is not happy or not creative is both kind and generous and vice versa.
If someone is either not tall or calm then someone is both rich and creative.
If ali... | Fred is not tall. | entailment | (![X]:((patient(X)<~>brave(X))=>(strong(X)&~strong(X))))&
(((~generous(alice)|patient(alice)))<=>(?[X]:((old(X)|brave(X)))))&
(![X]:((~happy(X)|~creative(X))<=>(kind(X)&generous(X))))&
((?[X]:((~tall(X)<~>calm(X))))=>(?[X]:((rich(X)&creative(X)))))&
(((~brave(alice)<~>~rich(alice)))<=>((curious(alice)<~>~rich(alice))))... | ~tall(fred) | [
"p0",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1084237079247401750925184
% SZS output start Proof for 1084237079247401750925184
1. ! [X0] : ((patient(X0) <~> brave(X0)) => (~strong(X0) & strong(X0))) [input p0]
7. ! [X0] : ((patient(X0) & ~old(X0)) <=> tall(X0)) [input p6]
14. ~quiet(paul) <=> ? [X0] : (brave(X0) | ~curious(X0)) [inpu... | 0 |
Everyone who is either patient or happy is both quiet and not tall.
If alice is both not calm and old then someone is quiet and vice versa.
Everyone who is generous or not humble is either humble or strong and vice versa.
Everyone who is not happy or not patient is not quiet and vice versa.
Everyone who is both not bra... | Alice is rich. | neutral | (![X]:((patient(X)<~>happy(X))=>(quiet(X)&~tall(X))))&
(((~calm(alice)&old(alice)))<=>(?[X]:(quiet(X))))&
(![X]:((generous(X)|~humble(X))<=>(humble(X)<~>strong(X))))&
(![X]:((~happy(X)|~patient(X))<=>~quiet(X)))&
(![X]:((~brave(X)&~curious(X))<=>humble(X)))&
(![X]:((~calm(X)|~strong(X))<=>(happy(X)&~tall(X))))&
((?[X]:... | rich(alice) | [] | null | 0 |
If john is not funny then paul is calm or not old. Everyone who is curious or patient is old or curious and vice versa. Everyone who is either not creative or funny is generous and vice versa. Everyone who is humble is both calm and not humble. If someone is not generous or patient then susan is not tall and vice versa... | Susan is calm. | neutral | ((~funny(john))=>((calm(paul)|~old(paul))))&
(![X]:((curious(X)|patient(X))<=>(old(X)|curious(X))))&
(![X]:((~creative(X)<~>funny(X))<=>generous(X)))&
(![X]:(humble(X)=>(calm(X)&~humble(X))))&
((?[X]:((~generous(X)|patient(X))))<=>(~tall(susan)))&
((?[X]:((tall(X)&kind(X))))<=>(?[X]:((curious(X)<~>~curious(X)))))&
((?[... | calm(susan) | [] | null | 0 |
If john is both humble and not humble then someone is either not quiet or happy and vice versa.
If john is curious or quiet then susan is humble.
Everyone who is both brave and curious is either patient or not quiet.
Everyone who is not patient is patient.
If lucy is both not calm and calm then someone is both not crea... | Alice is not generous. | contradiction | (((humble(john)&~humble(john)))<=>(?[X]:((~quiet(X)<~>happy(X)))))&
(((curious(john)|quiet(john)))=>(humble(susan)))&
(![X]:((brave(X)&curious(X))=>(patient(X)<~>~quiet(X))))&
(![X]:(~patient(X)=>patient(X)))&
(((~calm(lucy)&calm(lucy)))=>(?[X]:((~creative(X)&~quiet(X)))))&
(![X]:((~generous(X)|~patient(X))=>(~happy(X)... | ~generous(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8508347921969032205801826
% SZS output start Proof for 8508347921969032205801826
6. ! [X0] : ((~patient(X0) | ~generous(X0)) => (generous(X0) & ~happy(X0))) [input p5]
23. ~generous(alice) [input hypothesis]
30. ! [X0] : ((generous(X0) & ~happy(X0)) | (patient(X0) & generous(X0))) [ennf t... | 0 |
If fred is both patient and curious then john is both tall and not old and vice versa. Everyone who is not tall or not strong is not brave and vice versa. If someone is not rich then someone is both wise and generous and vice versa. If fred is both not kind and calm then someone is both not strong and not funny. If som... | Lucy is not brave. | neutral | (((patient(fred)&curious(fred)))<=>((tall(john)&~old(john))))&
(![X]:((~tall(X)|~strong(X))<=>~brave(X)))&
((?[X]:(~rich(X)))<=>(?[X]:((wise(X)&generous(X)))))&
(((~kind(fred)&calm(fred)))=>(?[X]:((~strong(X)&~funny(X)))))&
((?[X]:((~funny(X)|generous(X))))=>((curious(mary)&generous(mary))))&
((happy(paul))<=>(?[X]:((s... | ~brave(lucy) | [] | null | 0 |
If someone is both wise and not kind then someone is both not tall and not calm.
Everyone who is either wise or not quiet is both not quiet and not kind and vice versa.
If someone is both not tall and tall then someone is not humble or not rich.
Everyone who is not kind is both curious and not old.
Everyone who is eith... | Mary is not wise. | neutral | ((?[X]:((wise(X)&~kind(X))))=>(?[X]:((~tall(X)&~calm(X)))))&
(![X]:((wise(X)<~>~quiet(X))<=>(~quiet(X)&~kind(X))))&
((?[X]:((~tall(X)&tall(X))))=>(?[X]:((~humble(X)|~rich(X)))))&
(![X]:(~kind(X)=>(curious(X)&~old(X))))&
(![X]:((curious(X)<~>~curious(X))<=>(~patient(X)&~strong(X))))&
(![X]:((~creative(X)|humble(X))=>(~t... | ~wise(mary) | [] | null | 0 |
Everyone who is both not rich and not generous is both not kind and wise and vice versa. If someone is happy then paul is both happy and not patient. If someone is both not patient and not curious then lucy is both not brave and quiet and vice versa. Everyone who is either wise or brave is not humble or brave and vice ... | Paul is rich. | entailment | (![X]:((~rich(X)&~generous(X))<=>(~kind(X)&wise(X))))&
((?[X]:(happy(X)))=>((happy(paul)&~patient(paul))))&
((?[X]:((~patient(X)&~curious(X))))<=>((~brave(lucy)&quiet(lucy))))&
(![X]:((wise(X)<~>brave(X))<=>(~humble(X)|brave(X))))&
(![X]:((curious(X)&humble(X))=>(~happy(X)&brave(X))))&
(![X]:((~humble(X)&~happy(X))<=>~... | rich(paul) | [
"p1",
"p5",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1820707776370089057556013
% SZS output start Proof for 1820707776370089057556013
2. ? [X0] : happy(X0) => (~patient(paul) & happy(paul)) [input p1]
6. ! [X0] : ((~happy(X0) & ~humble(X0)) <=> ~brave(X0)) [input p5]
11. ! [X0] : (curious(X0) <=> ~kind(X0)) [input p10]
13. ! [X0] : ((~happy... | 0 |
If someone is happy or not old then lucy is both not happy and old.
Everyone who is either brave or rich is either tall or brave.
Everyone who is both not humble and not funny is either not humble or tall.
Everyone who is not patient is either patient or not humble and vice versa.
Everyone who is not calm or not happy ... | Lucy is creative. | neutral | ((?[X]:((happy(X)|~old(X))))=>((~happy(lucy)&old(lucy))))&
(![X]:((brave(X)<~>rich(X))=>(tall(X)<~>brave(X))))&
(![X]:((~humble(X)&~funny(X))=>(~humble(X)<~>tall(X))))&
(![X]:(~patient(X)<=>(patient(X)<~>~humble(X))))&
(![X]:((~calm(X)|~happy(X))<=>(~wise(X)|calm(X))))&
(![X]:((~funny(X)<~>wise(X))<=>(creative(X)&~old(... | creative(lucy) | [] | null | 0 |
If fred is happy then someone is either not creative or tall.
Everyone who is not happy is rich and vice versa.
If someone is either not creative or curious then someone is not generous or curious and vice versa.
If someone is strong or not rich then fred is either not wise or not happy and vice versa.
If lucy is rich ... | Paul is not brave. | contradiction | ((happy(fred))=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:(~happy(X)<=>rich(X)))&
((?[X]:((~creative(X)<~>curious(X))))<=>(?[X]:((~generous(X)|curious(X)))))&
((?[X]:((strong(X)|~rich(X))))<=>((~wise(fred)<~>~happy(fred))))&
((rich(lucy))=>((~calm(paul)<~>curious(paul))))&
(((calm(fred)&~creative(fred)))<=>((generous(a... | ~brave(paul) | [
"p6",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8939383156648416720826389
% SZS output start Proof for 8939383156648416720826389
7. ! [X0] : ((~patient(X0) & ~rich(X0)) <=> (~curious(X0) | ~brave(X0))) [input p6]
15. ! [X0] : ((~kind(X0) | ~patient(X0)) => (~creative(X0) & humble(X0))) [input p14]
17. creative(paul) [input p16]
24. ~br... | 0 |
Everyone who is both not tall and patient is strong or not generous and vice versa. Everyone who is both not old and calm is either not brave or not curious. If lucy is either not generous or not rich then lucy is not humble or strong. If someone is both not kind and wise then someone is both humble and tall and vice v... | Alice is not old. | entailment | (![X]:((~tall(X)&patient(X))<=>(strong(X)|~generous(X))))&
(![X]:((~old(X)&calm(X))=>(~brave(X)<~>~curious(X))))&
(((~generous(lucy)<~>~rich(lucy)))=>((~humble(lucy)|strong(lucy))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((humble(X)&tall(X)))))&
(![X]:((funny(X)|~rich(X))=>(creative(X)<~>wise(X))))&
((~wise(fred))<=>(~r... | ~old(alice) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1878098184373074399704176
% SZS output start Proof for 1878098184373074399704176
1. ! [X0] : ((patient(X0) & ~tall(X0)) <=> (~generous(X0) | strong(X0))) [input p0]
11. (tall(lucy) & strong(lucy)) <=> ? [X0] : old(X0) [input p10]
25. old(alice) [input hypothesis]
44. ! [X0] : (((patient(X... | 0 |
If susan is not wise then alice is both not funny and creative.
If someone is kind then someone is not quiet.
If john is not wise then susan is both wise and patient.
Everyone who is not old is not happy or not wise and vice versa.
Everyone who is generous or not patient is not humble or quiet and vice versa.
Everyone ... | Alice is old. | entailment | ((~wise(susan))=>((~funny(alice)&creative(alice))))&
((?[X]:(kind(X)))=>(?[X]:(~quiet(X))))&
((~wise(john))=>((wise(susan)&patient(susan))))&
(![X]:(~old(X)<=>(~happy(X)|~wise(X))))&
(![X]:((generous(X)|~patient(X))<=>(~humble(X)|quiet(X))))&
(![X]:((strong(X)|~patient(X))=>~brave(X)))&
((?[X]:((~wise(X)|~patient(X))))... | old(alice) | [
"p6",
"p9",
"p10",
"p11",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2019268387949424092725833
% SZS output start Proof for 2019268387949424092725833
7. ? [X0] : (~patient(X0) | ~wise(X0)) <=> (~creative(alice) & wise(alice)) [input p6]
10. ! [X0] : (~generous(X0) => (strong(X0) & generous(X0))) [input p9]
11. ! [X0] : ((~generous(X0) <~> ~strong(X0)) <=> ... | 0 |
Everyone who is both not curious and humble is not old. If fred is not old then mary is either tall or not funny and vice versa. Everyone who is patient or generous is not calm and vice versa. Everyone who is either kind or not happy is both tall and curious and vice versa. If someone is both not patient and not strong... | Fred is generous. | entailment | (![X]:((~curious(X)&humble(X))=>~old(X)))&
((~old(fred))<=>((tall(mary)<~>~funny(mary))))&
(![X]:((patient(X)|generous(X))<=>~calm(X)))&
(![X]:((kind(X)<~>~happy(X))<=>(tall(X)&curious(X))))&
((?[X]:((~patient(X)&~strong(X))))<=>(?[X]:((calm(X)&rich(X)))))&
(![X]:(~humble(X)<=>(~old(X)|rich(X))))&
((?[X]:((old(X)<~>gen... | generous(fred) | [
"p5",
"p6",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 455966213413304396968101
% SZS output start Proof for 455966213413304396968101
6. ! [X0] : (~humble(X0) <=> (rich(X0) | ~old(X0))) [input p5]
7. ? [X0] : (old(X0) <~> generous(X0)) <=> (kind(lucy) & humble(lucy)) [input p6]
11. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> humble(X0)) [input ... | 0 |
Everyone who is not curious is not wise or not old.
If someone is either brave or not funny then lucy is rich.
If someone is generous or creative then someone is both not tall and not kind and vice versa.
Everyone who is both not old and old is generous.
Everyone who is generous is not wise and vice versa.
Everyone who... | Alice is happy. | entailment | (![X]:(~curious(X)=>(~wise(X)|~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(rich(lucy)))&
((?[X]:((generous(X)|creative(X))))<=>(?[X]:((~tall(X)&~kind(X)))))&
(![X]:((~old(X)&old(X))=>generous(X)))&
(![X]:(generous(X)<=>~wise(X)))&
(![X]:(old(X)=>(~tall(X)|~humble(X))))&
(((~kind(john)&wise(john)))=>(?[X]:(~rich(X))))... | happy(alice) | [
"p2",
"p4",
"p7",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6841601623066252750170030
% SZS output start Proof for 6841601623066252750170030
3. ? [X0] : (creative(X0) | generous(X0)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p2]
5. ! [X0] : (generous(X0) <=> ~wise(X0)) [input p4]
8. ! [X0] : ((~brave(X0) | ~happy(X0)) => ~rich(X0)) [input p7]
11... | 0 |
If someone is either not wise or creative then alice is not rich or curious and vice versa.
If susan is both rich and kind then someone is not kind.
Everyone who is old or not humble is patient and vice versa.
If alice is both rich and humble then someone is not creative and vice versa.
Everyone who is not patient or c... | John is brave. | contradiction | ((?[X]:((~wise(X)<~>creative(X))))<=>((~rich(alice)|curious(alice))))&
(((rich(susan)&kind(susan)))=>(?[X]:(~kind(X))))&
(![X]:((old(X)|~humble(X))<=>patient(X)))&
(((rich(alice)&humble(alice)))<=>(?[X]:(~creative(X))))&
(![X]:((~patient(X)|calm(X))=>(~creative(X)<~>~curious(X))))&
(((~patient(fred)&~wise(fred)))<=>(?[... | brave(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 430497201679565248255526
% SZS output start Proof for 430497201679565248255526
19. ~brave(john) [input p18]
25. brave(john) [input hypothesis]
136. ~brave(john) [cnf transformation 19]
144. brave(john) [cnf transformation 25]
313. 39 <=> brave(john) [avatar definition]
366. ~39 [avatar sp... | 0 |
Everyone who is strong is not generous or not strong and vice versa.
Everyone who is creative or not creative is funny or strong.
Everyone who is either not creative or patient is not wise or not calm and vice versa.
Everyone who is both not old and not generous is quiet.
Everyone who is both not funny and tall is kind... | Fred is not creative. | neutral | (![X]:(strong(X)<=>(~generous(X)|~strong(X))))&
(![X]:((creative(X)|~creative(X))=>(funny(X)|strong(X))))&
(![X]:((~creative(X)<~>patient(X))<=>(~wise(X)|~calm(X))))&
(![X]:((~old(X)&~generous(X))=>quiet(X)))&
(![X]:((~funny(X)&tall(X))<=>kind(X)))&
((old(fred))<=>((~patient(john)|brave(john))))&
(((~calm(alice)&patien... | ~creative(fred) | [] | null | 0 |
Everyone who is either not wise or curious is funny. Everyone who is quiet or generous is not funny and vice versa. If alice is tall then mary is both creative and old and vice versa. Everyone who is not kind or happy is either not calm or kind. Everyone who is kind is not strong. Everyone who is brave or calm is eithe... | Paul is strong. | contradiction | (![X]:((~wise(X)<~>curious(X))=>funny(X)))&
(![X]:((quiet(X)|generous(X))<=>~funny(X)))&
((tall(alice))<=>((creative(mary)&old(mary))))&
(![X]:((~kind(X)|happy(X))=>(~calm(X)<~>kind(X))))&
(![X]:(kind(X)=>~strong(X)))&
(![X]:((brave(X)|calm(X))<=>(~brave(X)<~>~strong(X))))&
(((~quiet(alice)|tall(alice)))<=>((calm(mary)... | strong(paul) | [
"p3",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 391555666124830533475117
% SZS output start Proof for 391555666124830533475117
4. ! [X0] : ((happy(X0) | ~kind(X0)) => (~calm(X0) <~> kind(X0))) [input p3]
5. ! [X0] : (kind(X0) => ~strong(X0)) [input p4]
6. ! [X0] : ((calm(X0) | brave(X0)) <=> (~brave(X0) <~> ~strong(X0))) [input p5]
25.... | 0 |
Everyone who is quiet or tall is not humble or patient and vice versa.
Everyone who is generous or kind is not kind and vice versa.
If john is not old then john is either not tall or not curious and vice versa.
If someone is not tall then someone is both not generous and patient and vice versa.
If lucy is strong or not... | Mary is old. | neutral | (![X]:((quiet(X)|tall(X))<=>(~humble(X)|patient(X))))&
(![X]:((generous(X)|kind(X))<=>~kind(X)))&
((~old(john))<=>((~tall(john)<~>~curious(john))))&
((?[X]:(~tall(X)))<=>(?[X]:((~generous(X)&patient(X)))))&
(((strong(lucy)|~wise(lucy)))=>((brave(fred)|~strong(fred))))&
((?[X]:((~curious(X)&~quiet(X))))<=>((rich(susan)<... | old(mary) | [] | null | 0 |
Everyone who is not quiet or not strong is rich or funny and vice versa.
If someone is old or happy then paul is wise or brave.
Everyone who is either not old or not tall is generous or old and vice versa.
Everyone who is old is both not curious and quiet.
If someone is either quiet or not happy then someone is wise an... | Paul is happy. | entailment | (![X]:((~quiet(X)|~strong(X))<=>(rich(X)|funny(X))))&
((?[X]:((old(X)|happy(X))))=>((wise(paul)|brave(paul))))&
(![X]:((~old(X)<~>~tall(X))<=>(generous(X)|old(X))))&
(![X]:(old(X)=>(~curious(X)&quiet(X))))&
((?[X]:((quiet(X)<~>~happy(X))))<=>(?[X]:(wise(X))))&
(![X]:((~humble(X)&~tall(X))=>(~rich(X)<~>tall(X))))&
(![X]... | happy(paul) | [
"p0",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3614248019485457521843405
% SZS output start Proof for 3614248019485457521843405
1. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> (funny(X0) | rich(X0))) [input p0]
7. ! [X0] : ((~quiet(X0) | rich(X0)) => (happy(X0) & calm(X0))) [input p6]
8. ! [X0] : (calm(X0) <=> quiet(X0)) [input p7]
9. ! [... | 0 |
Everyone who is either tall or wise is both not quiet and not generous.
Everyone who is both not calm and not funny is both not funny and not old and vice versa.
Everyone who is not kind or not happy is both patient and not patient.
If john is brave or not generous then fred is both not generous and not funny and vice ... | Mary is not humble. | entailment | (![X]:((tall(X)<~>wise(X))=>(~quiet(X)&~generous(X))))&
(![X]:((~calm(X)&~funny(X))<=>(~funny(X)&~old(X))))&
(![X]:((~kind(X)|~happy(X))=>(patient(X)&~patient(X))))&
(((brave(john)|~generous(john)))<=>((~generous(fred)&~funny(fred))))&
(![X]:((~old(X)&tall(X))<=>(brave(X)<~>~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:((humb... | ~humble(mary) | [
"p2",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3045597532252866877804673
% SZS output start Proof for 3045597532252866877804673
3. ! [X0] : ((~happy(X0) | ~kind(X0)) => (~patient(X0) & patient(X0))) [input p2]
15. ! [X0] : ((~calm(X0) | ~kind(X0)) <=> humble(X0)) [input p14]
16. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (~kind(X0) | ~humb... | 0 |
Everyone who is happy is both not strong and not happy. Everyone who is either not humble or not funny is both brave and funny. If someone is both not humble and curious then susan is kind and vice versa. If lucy is not happy or not creative then someone is either not curious or not brave. If someone is both curious an... | Fred is not rich. | neutral | (![X]:(happy(X)=>(~strong(X)&~happy(X))))&
(![X]:((~humble(X)<~>~funny(X))=>(brave(X)&funny(X))))&
((?[X]:((~humble(X)&curious(X))))<=>(kind(susan)))&
(((~happy(lucy)|~creative(lucy)))=>(?[X]:((~curious(X)<~>~brave(X)))))&
((?[X]:((curious(X)&~brave(X))))<=>(?[X]:((~rich(X)&creative(X)))))&
(![X]:((funny(X)<~>~brave(X)... | ~rich(fred) | [] | null | 0 |
Everyone who is both not strong and generous is either not generous or rich and vice versa. If someone is either not quiet or not tall then someone is both not tall and not humble. If someone is funny then someone is happy and vice versa. Everyone who is both wise and not rich is funny. Everyone who is humble or not ri... | Paul is wise. | neutral | (![X]:((~strong(X)&generous(X))<=>(~generous(X)<~>rich(X))))&
((?[X]:((~quiet(X)<~>~tall(X))))=>(?[X]:((~tall(X)&~humble(X)))))&
((?[X]:(funny(X)))<=>(?[X]:(happy(X))))&
(![X]:((wise(X)&~rich(X))=>funny(X)))&
(![X]:((humble(X)|~rich(X))<=>~humble(X)))&
(![X]:((curious(X)&brave(X))<=>kind(X)))&
(((~calm(susan)<~>~funny(... | wise(paul) | [] | null | 0 |
Everyone who is not patient is generous or not kind and vice versa.
Everyone who is rich is happy or strong.
Everyone who is both not funny and not strong is quiet.
If someone is not creative then mary is not creative.
Everyone who is both quiet and not strong is not quiet and vice versa.
Everyone who is quiet or not h... | John is patient. | neutral | (![X]:(~patient(X)<=>(generous(X)|~kind(X))))&
(![X]:(rich(X)=>(happy(X)|strong(X))))&
(![X]:((~funny(X)&~strong(X))=>quiet(X)))&
((?[X]:(~creative(X)))=>(~creative(mary)))&
(![X]:((quiet(X)&~strong(X))<=>~quiet(X)))&
(![X]:((quiet(X)|~humble(X))=>(generous(X)|kind(X))))&
(((patient(lucy)|~creative(lucy)))=>(?[X]:((~cr... | patient(john) | [] | null | 0 |
If someone is either not wise or patient then fred is either not curious or strong and vice versa. Everyone who is not kind or not happy is not creative. Everyone who is both not rich and happy is kind or funny and vice versa. If someone is not brave then alice is generous or not funny and vice versa. Everyone who is b... | Alice is not rich. | entailment | ((?[X]:((~wise(X)<~>patient(X))))<=>((~curious(fred)<~>strong(fred))))&
(![X]:((~kind(X)|~happy(X))=>~creative(X)))&
(![X]:((~rich(X)&happy(X))<=>(kind(X)|funny(X))))&
((?[X]:(~brave(X)))<=>((generous(alice)|~funny(alice))))&
(![X]:((~curious(X)&~creative(X))=>(~brave(X)|tall(X))))&
(![X]:((old(X)|creative(X))<=>~happy... | ~rich(alice) | [
"p2",
"p5",
"p6",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8740234833021130905648445
% SZS output start Proof for 8740234833021130905648445
3. ! [X0] : ((happy(X0) & ~rich(X0)) <=> (funny(X0) | kind(X0))) [input p2]
6. ! [X0] : ((creative(X0) | old(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : (~curious(X0) => (~generous(X0) & funny(X0))) [input p6... | 0 |
Everyone who is either not quiet or tall is either brave or calm.
If someone is not generous or not humble then someone is calm and vice versa.
Everyone who is brave or patient is old or not calm and vice versa.
Everyone who is both patient and rich is tall.
If someone is either not wise or not old then someone is stro... | Susan is not generous. | neutral | (![X]:((~quiet(X)<~>tall(X))=>(brave(X)<~>calm(X))))&
((?[X]:((~generous(X)|~humble(X))))<=>(?[X]:(calm(X))))&
(![X]:((brave(X)|patient(X))<=>(old(X)|~calm(X))))&
(![X]:((patient(X)&rich(X))=>tall(X)))&
((?[X]:((~wise(X)<~>~old(X))))=>(?[X]:((strong(X)|humble(X)))))&
((?[X]:((funny(X)|rich(X))))<=>(?[X]:((humble(X)&~pa... | ~generous(susan) | [] | null | 0 |
If john is brave then fred is both calm and curious. Everyone who is not rich is calm and vice versa. Everyone who is both not tall and creative is not curious. If fred is not wise or tall then mary is both not funny and happy and vice versa. Everyone who is both curious and rich is either not curious or not generous. ... | Mary is curious. | neutral | ((brave(john))=>((calm(fred)&curious(fred))))&
(![X]:(~rich(X)<=>calm(X)))&
(![X]:((~tall(X)&creative(X))=>~curious(X)))&
(((~wise(fred)|tall(fred)))<=>((~funny(mary)&happy(mary))))&
(![X]:((curious(X)&rich(X))=>(~curious(X)<~>~generous(X))))&
((?[X]:((strong(X)<~>~happy(X))))<=>(generous(lucy)))&
((old(susan))<=>(?[X]... | curious(mary) | [] | null | 0 |
Everyone who is not creative is either brave or not brave and vice versa.
Everyone who is not wise is not old or not humble and vice versa.
If someone is either not funny or not calm then someone is not tall or not kind.
Everyone who is not generous is both not kind and not funny and vice versa.
If alice is not kind or... | Paul is not happy. | entailment | (![X]:(~creative(X)<=>(brave(X)<~>~brave(X))))&
(![X]:(~wise(X)<=>(~old(X)|~humble(X))))&
((?[X]:((~funny(X)<~>~calm(X))))=>(?[X]:((~tall(X)|~kind(X)))))&
(![X]:(~generous(X)<=>(~kind(X)&~funny(X))))&
(((~kind(alice)|~old(alice)))<=>(?[X]:(brave(X))))&
(![X]:(curious(X)=>(~humble(X)|wise(X))))&
(![X]:((generous(X)|~str... | ~happy(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5060557793426829524645759
% SZS output start Proof for 5060557793426829524645759
17. ~calm(paul) & ~happy(paul) [input p16]
25. happy(paul) [input hypothesis]
132. ~happy(paul) [cnf transformation 17]
146. happy(paul) [cnf transformation 25]
327. $false [subsumption resolution 146,132]
% ... | 0 |
If someone is both curious and rich then fred is both not funny and humble and vice versa. Everyone who is not old or not tall is both generous and not brave and vice versa. Everyone who is generous or not funny is not funny and vice versa. If someone is either not rich or not generous then mary is happy and vice versa... | Fred is not generous. | entailment | ((?[X]:((curious(X)&rich(X))))<=>((~funny(fred)&humble(fred))))&
(![X]:((~old(X)|~tall(X))<=>(generous(X)&~brave(X))))&
(![X]:((generous(X)|~funny(X))<=>~funny(X)))&
((?[X]:((~rich(X)<~>~generous(X))))<=>(happy(mary)))&
(![X]:(funny(X)<=>(~rich(X)<~>kind(X))))&
(![X]:((funny(X)&curious(X))<=>(wise(X)&~tall(X))))&
(![X]... | ~generous(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8173718379987943015208634
% SZS output start Proof for 8173718379987943015208634
7. ! [X0] : (calm(X0) <=> (~generous(X0) | ~calm(X0))) [input p6]
24. generous(fred) [input hypothesis]
49. ! [X0] : ((calm(X0) | (generous(X0) & calm(X0))) & ((~generous(X0) | ~calm(X0)) | ~calm(X0))) [nnf t... | 0 |
If alice is curious or generous then paul is not rich or not wise and vice versa. Everyone who is either not old or generous is both not old and not quiet and vice versa. Everyone who is both rich and not curious is curious and vice versa. If paul is both not happy and rich then someone is either generous or not rich. ... | Alice is tall. | contradiction | (((curious(alice)|generous(alice)))<=>((~rich(paul)|~wise(paul))))&
(![X]:((~old(X)<~>generous(X))<=>(~old(X)&~quiet(X))))&
(![X]:((rich(X)&~curious(X))<=>curious(X)))&
(((~happy(paul)&rich(paul)))=>(?[X]:((generous(X)<~>~rich(X)))))&
(![X]:(old(X)<=>wise(X)))&
(![X]:((~funny(X)|generous(X))=>(~happy(X)&~creative(X))))... | tall(alice) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4516320528220709325807654
% SZS output start Proof for 4516320528220709325807654
1. (generous(alice) | curious(alice)) <=> (~wise(paul) | ~rich(paul)) [input p0]
3. ! [X0] : ((~curious(X0) & rich(X0)) <=> curious(X0)) [input p2]
6. ! [X0] : ((generous(X0) | ~funny(X0)) => (~creative(X0) &... | 0 |
If someone is either not quiet or not tall then someone is both not creative and not tall.
Everyone who is either not strong or creative is strong and vice versa.
If john is both not humble and tall then lucy is not quiet.
If someone is not rich then paul is either not brave or not humble.
Everyone who is happy is not ... | Alice is humble. | contradiction | ((?[X]:((~quiet(X)<~>~tall(X))))=>(?[X]:((~creative(X)&~tall(X)))))&
(![X]:((~strong(X)<~>creative(X))<=>strong(X)))&
(((~humble(john)&tall(john)))=>(~quiet(lucy)))&
((?[X]:(~rich(X)))=>((~brave(paul)<~>~humble(paul))))&
(![X]:(happy(X)=>~curious(X)))&
(((wise(susan)<~>tall(susan)))<=>((~humble(alice)&~funny(alice))))&... | humble(alice) | [
"p0",
"p1",
"p5",
"p6",
"p10",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 782018789199971169954900
% SZS output start Proof for 782018789199971169954900
1. ? [X0] : (~quiet(X0) <~> ~tall(X0)) => ? [X0] : (~tall(X0) & ~creative(X0)) [input p0]
2. ! [X0] : ((~strong(X0) <~> creative(X0)) <=> strong(X0)) [input p1]
6. (wise(susan) <~> tall(susan)) <=> (~funny(alic... | 0 |
If someone is patient or not patient then someone is not happy or patient.
If alice is not brave then john is both patient and happy.
Everyone who is generous is not funny.
If someone is not rich then someone is either not kind or not calm and vice versa.
Everyone who is both brave and not wise is wise or not wise and ... | Paul is brave. | entailment | ((?[X]:((patient(X)|~patient(X))))=>(?[X]:((~happy(X)|patient(X)))))&
((~brave(alice))=>((patient(john)&happy(john))))&
(![X]:(generous(X)=>~funny(X)))&
((?[X]:(~rich(X)))<=>(?[X]:((~kind(X)<~>~calm(X)))))&
(![X]:((brave(X)&~wise(X))<=>(wise(X)|~wise(X))))&
(![X]:(curious(X)<=>(~wise(X)<~>~creative(X))))&
((?[X]:((~wis... | brave(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 4009999333487900067617489
% SZS output start Proof for 4009999333487900067617489
5. ! [X0] : ((~wise(X0) & brave(X0)) <=> (~wise(X0) | wise(X0))) [input p4]
23. ~brave(paul) [input hypothesis]
45. ! [X0] : (((~wise(X0) & brave(X0)) | (wise(X0) & ~wise(X0))) & ((~wise(X0) | wise(X0)) | (wi... | 0 |
Everyone who is either calm or not quiet is both curious and calm.
If paul is not creative then paul is not curious or not rich.
Everyone who is either not creative or calm is not calm or not kind.
Everyone who is quiet is both not creative and not strong and vice versa.
If john is kind then someone is not generous.
If... | Paul is tall. | contradiction | (![X]:((calm(X)<~>~quiet(X))=>(curious(X)&calm(X))))&
((~creative(paul))=>((~curious(paul)|~rich(paul))))&
(![X]:((~creative(X)<~>calm(X))=>(~calm(X)|~kind(X))))&
(![X]:(quiet(X)<=>(~creative(X)&~strong(X))))&
((kind(john))=>(?[X]:(~generous(X))))&
((funny(susan))=>(?[X]:((tall(X)|~patient(X)))))&
(![X]:(~generous(X)=>... | tall(paul) | [
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2708440827981896767214077
% SZS output start Proof for 2708440827981896767214077
8. ? [X0] : ~humble(X0) <=> (quiet(paul) & ~rich(paul)) [input p7]
11. (generous(paul) & rich(paul)) <=> ? [X0] : (~humble(X0) <~> ~tall(X0)) [input p10]
15. ! [X0] : (tall(X0) <=> ~humble(X0)) [input p14]
24... | 0 |
If someone is either not old or not curious then john is both happy and not curious and vice versa. If someone is not curious or rich then someone is rich or wise. Everyone who is rich or creative is both happy and not strong and vice versa. If fred is both funny and not tall then someone is either brave or kind and vi... | Paul is not curious. | entailment | ((?[X]:((~old(X)<~>~curious(X))))<=>((happy(john)&~curious(john))))&
((?[X]:((~curious(X)|rich(X))))=>(?[X]:((rich(X)|wise(X)))))&
(![X]:((rich(X)|creative(X))<=>(happy(X)&~strong(X))))&
(((funny(fred)&~tall(fred)))<=>(?[X]:((brave(X)<~>kind(X)))))&
(![X]:((calm(X)&~happy(X))<=>~happy(X)))&
(((~old(susan)<~>old(susan))... | ~curious(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4287549984183397935196899
% SZS output start Proof for 4287549984183397935196899
16. ! [X0] : ((calm(X0) & ~curious(X0)) <=> (rich(X0) | curious(X0))) [input p15]
21. curious(paul) [input hypothesis]
67. ! [X0] : (((calm(X0) & ~curious(X0)) | (~rich(X0) & ~curious(X0))) & ((rich(X0) | cur... | 0 |
Everyone who is both not humble and not calm is funny and vice versa.
If alice is not curious or not creative then susan is wise or old and vice versa.
Everyone who is either calm or not wise is both not calm and kind and vice versa.
If someone is generous then alice is both curious and rich and vice versa.
If someone ... | Alice is generous. | neutral | (![X]:((~humble(X)&~calm(X))<=>funny(X)))&
(((~curious(alice)|~creative(alice)))<=>((wise(susan)|old(susan))))&
(![X]:((calm(X)<~>~wise(X))<=>(~calm(X)&kind(X))))&
((?[X]:(generous(X)))<=>((curious(alice)&rich(alice))))&
((?[X]:((~brave(X)&kind(X))))<=>(?[X]:((~curious(X)|~generous(X)))))&
((?[X]:((~kind(X)|strong(X)))... | generous(alice) | [] | null | 0 |
If susan is tall or kind then fred is brave or patient.
Everyone who is not happy is either generous or creative.
Everyone who is creative or tall is both old and happy and vice versa.
If someone is not funny or not tall then mary is either not patient or not happy.
If someone is not creative or happy then someone is b... | Fred is happy. | entailment | (((tall(susan)|kind(susan)))=>((brave(fred)|patient(fred))))&
(![X]:(~happy(X)=>(generous(X)<~>creative(X))))&
(![X]:((creative(X)|tall(X))<=>(old(X)&happy(X))))&
((?[X]:((~funny(X)|~tall(X))))=>((~patient(mary)<~>~happy(mary))))&
((?[X]:((~creative(X)|happy(X))))=>(?[X]:((~calm(X)&happy(X)))))&
((?[X]:((creative(X)<~>... | happy(fred) | [
"p1",
"p2",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7008543409944100068963160
% SZS output start Proof for 7008543409944100068963160
2. ! [X0] : (~happy(X0) => (generous(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((tall(X0) | creative(X0)) <=> (happy(X0) & old(X0))) [input p2]
18. ~generous(fred) [input p17]
23. ~happy(fred) [input hypo... | 0 |
If susan is either not humble or creative then paul is both not wise and not strong and vice versa.
Everyone who is both not calm and calm is not quiet and vice versa.
If someone is not wise or not curious then mary is not curious and vice versa.
Everyone who is not wise is either not tall or not kind.
Everyone who is ... | Mary is brave. | entailment | (((~humble(susan)<~>creative(susan)))<=>((~wise(paul)&~strong(paul))))&
(![X]:((~calm(X)&calm(X))<=>~quiet(X)))&
((?[X]:((~wise(X)|~curious(X))))<=>(~curious(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~kind(X))))&
(![X]:((~funny(X)|funny(X))=>(~brave(X)<~>old(X))))&
(![X]:(~generous(X)<=>old(X)))&
(![X]:(funny(X)=>~generous... | brave(mary) | [
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5816938306340289772527987
% SZS output start Proof for 5816938306340289772527987
5. ! [X0] : ((funny(X0) | ~funny(X0)) => (~brave(X0) <~> old(X0))) [input p4]
6. ! [X0] : (~generous(X0) <=> old(X0)) [input p5]
7. ! [X0] : (funny(X0) => ~generous(X0)) [input p6]
14. ! [X0] : ((~rich(X0) | ... | 0 |
Everyone who is both not generous and calm is both not wise and not rich.
If someone is either patient or not strong then someone is both not happy and brave and vice versa.
If john is not kind then someone is both kind and not calm and vice versa.
If someone is happy or kind then someone is either not kind or curious.... | Paul is strong. | entailment | (![X]:((~generous(X)&calm(X))=>(~wise(X)&~rich(X))))&
((?[X]:((patient(X)<~>~strong(X))))<=>(?[X]:((~happy(X)&brave(X)))))&
((~kind(john))<=>(?[X]:((kind(X)&~calm(X)))))&
((?[X]:((happy(X)|kind(X))))=>(?[X]:((~kind(X)<~>curious(X)))))&
(![X]:((~brave(X)<~>strong(X))<=>(strong(X)<~>curious(X))))&
(((~kind(paul)|brave(pa... | strong(paul) | [
"p5",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 510079940246136340096459
% SZS output start Proof for 510079940246136340096459
6. (brave(paul) | ~kind(paul)) <=> (strong(paul) & quiet(paul)) [input p5]
8. ? [X0] : (creative(X0) & rich(X0)) <=> ? [X0] : (~creative(X0) | curious(X0)) [input p7]
12. ! [X0] : (creative(X0) => (~happy(X0) &... | 0 |
Everyone who is either not creative or brave is not old.
If fred is not strong then john is not brave and vice versa.
Everyone who is not patient is both tall and not happy and vice versa.
If mary is wise or not quiet then paul is either not calm or brave and vice versa.
Everyone who is generous or not strong is both n... | John is not kind. | contradiction | (![X]:((~creative(X)<~>brave(X))=>~old(X)))&
((~strong(fred))<=>(~brave(john)))&
(![X]:(~patient(X)<=>(tall(X)&~happy(X))))&
(((wise(mary)|~quiet(mary)))<=>((~calm(paul)<~>brave(paul))))&
(![X]:((generous(X)|~strong(X))<=>(~quiet(X)&kind(X))))&
(![X]:((tall(X)<~>~funny(X))<=>(~patient(X)&~funny(X))))&
(![X]:((calm(X)<~... | ~kind(john) | [
"p2",
"p5",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 803012714218927569992681
% SZS output start Proof for 803012714218927569992681
3. ! [X0] : (~patient(X0) <=> (~happy(X0) & tall(X0))) [input p2]
6. ! [X0] : ((tall(X0) <~> ~funny(X0)) <=> (~funny(X0) & ~patient(X0))) [input p5]
11. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> ~calm(X0)) [in... | 0 |
Everyone who is not old is not calm and vice versa.
If someone is not curious then someone is not brave or not happy and vice versa.
Everyone who is not strong or kind is either old or not generous.
Everyone who is wise is either not rich or old and vice versa.
Everyone who is either brave or patient is either not kind... | Fred is patient. | entailment | (![X]:(~old(X)<=>~calm(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((~brave(X)|~happy(X)))))&
(![X]:((~strong(X)|kind(X))=>(old(X)<~>~generous(X))))&
(![X]:(wise(X)<=>(~rich(X)<~>old(X))))&
(![X]:((brave(X)<~>patient(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((wise(X)|~brave(X))<=>(~strong(X)|funny(X))))&
((~old(fred))<=>((kind(... | patient(fred) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8524052374379481132760050
% SZS output start Proof for 8524052374379481132760050
3. ! [X0] : ((kind(X0) | ~strong(X0)) => (old(X0) <~> ~generous(X0))) [input p2]
4. ! [X0] : (wise(X0) <=> (~rich(X0) <~> old(X0))) [input p3]
8. ! [X0] : ((~happy(X0) | calm(X0)) => (generous(X0) | happy(X0)... | 0 |
Everyone who is both patient and generous is happy or not old.
Everyone who is both rich and not tall is kind.
If someone is both patient and brave then someone is both not kind and happy and vice versa.
Everyone who is not patient is not calm or not old and vice versa.
Everyone who is either not happy or funny is rich... | John is not rich. | contradiction | (![X]:((patient(X)&generous(X))=>(happy(X)|~old(X))))&
(![X]:((rich(X)&~tall(X))=>kind(X)))&
((?[X]:((patient(X)&brave(X))))<=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:(~patient(X)<=>(~calm(X)|~old(X))))&
(![X]:((~happy(X)<~>funny(X))=>rich(X)))&
(![X]:((generous(X)|kind(X))<=>(~old(X)|~quiet(X))))&
(![X]:((quiet(X)|happy(... | ~rich(john) | [
"p2",
"p3",
"p6",
"p8",
"p9",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7502754541644498530300042
% SZS output start Proof for 7502754541644498530300042
3. ? [X0] : (brave(X0) & patient(X0)) <=> ? [X0] : (happy(X0) & ~kind(X0)) [input p2]
4. ! [X0] : (~patient(X0) <=> (~old(X0) | ~calm(X0))) [input p3]
7. ! [X0] : ((happy(X0) | quiet(X0)) => ~calm(X0)) [input... | 0 |
Everyone who is either rich or not rich is wise or quiet and vice versa. Everyone who is tall is rich and vice versa. Everyone who is patient is tall or not generous. If mary is old then lucy is both humble and tall and vice versa. Everyone who is either humble or not brave is both not patient and curious and vice vers... | Paul is creative. | neutral | (![X]:((rich(X)<~>~rich(X))<=>(wise(X)|quiet(X))))&
(![X]:(tall(X)<=>rich(X)))&
(![X]:(patient(X)=>(tall(X)|~generous(X))))&
((old(mary))<=>((humble(lucy)&tall(lucy))))&
(![X]:((humble(X)<~>~brave(X))<=>(~patient(X)&curious(X))))&
(![X]:((~humble(X)<~>~rich(X))<=>(rich(X)&~rich(X))))&
(![X]:(~funny(X)=>~calm(X)))&
(![X... | creative(paul) | [] | null | 0 |
If someone is both not kind and creative then someone is old or kind and vice versa.
If someone is either not patient or strong then someone is not humble.
Everyone who is not funny or happy is either not kind or strong.
Everyone who is both happy and tall is either not kind or old and vice versa.
Everyone who is not b... | Paul is not calm. | contradiction | ((?[X]:((~kind(X)&creative(X))))<=>(?[X]:((old(X)|kind(X)))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(~humble(X))))&
(![X]:((~funny(X)|happy(X))=>(~kind(X)<~>strong(X))))&
(![X]:((happy(X)&tall(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~brave(X)=>~calm(X)))&
(![X]:(tall(X)<=>(rich(X)|wise(X))))&
((?[X]:((humble(X)|quiet... | ~calm(paul) | [
"p0",
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3873212248550274834637272
% SZS output start Proof for 3873212248550274834637272
1. ? [X0] : (creative(X0) & ~kind(X0)) <=> ? [X0] : (kind(X0) | old(X0)) [input p0]
8. ! [X0] : ((~happy(X0) & calm(X0)) <=> (strong(X0) | brave(X0))) [input p7]
15. ? [X0] : creative(X0) <=> (rich(paul) & br... | 0 |
Everyone who is both kind and not curious is not quiet and vice versa.
If someone is not calm then someone is either not funny or calm and vice versa.
Everyone who is either quiet or rich is not wise and vice versa.
Everyone who is calm is not humble or not tall and vice versa.
If susan is not rich or not funny then fr... | Fred is not curious. | entailment | (![X]:((kind(X)&~curious(X))<=>~quiet(X)))&
((?[X]:(~calm(X)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((quiet(X)<~>rich(X))<=>~wise(X)))&
(![X]:(calm(X)<=>(~humble(X)|~tall(X))))&
(((~rich(susan)|~funny(susan)))=>(~calm(fred)))&
(![X]:(brave(X)<=>kind(X)))&
(((happy(alice)&~quiet(alice)))<=>((~tall(alice)|~brave(alic... | ~curious(fred) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7258230941555182367897763
% SZS output start Proof for 7258230941555182367897763
1. ! [X0] : ((~curious(X0) & kind(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((quiet(X0) <~> rich(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~humble(X0))) [input p3]
5. (~funny(sus... | 0 |
Everyone who is both not brave and humble is not humble or happy. Everyone who is both not calm and not quiet is not brave. If susan is old or not creative then lucy is both not kind and curious and vice versa. Everyone who is happy or old is not old and vice versa. Everyone who is either not happy or tall is not creat... | Susan is old. | contradiction | (![X]:((~brave(X)&humble(X))=>(~humble(X)|happy(X))))&
(![X]:((~calm(X)&~quiet(X))=>~brave(X)))&
(((old(susan)|~creative(susan)))<=>((~kind(lucy)&curious(lucy))))&
(![X]:((happy(X)|old(X))<=>~old(X)))&
(![X]:((~happy(X)<~>tall(X))=>~creative(X)))&
(![X]:((~happy(X)<~>curious(X))=>(kind(X)|~generous(X))))&
(![X]:((~kind... | old(susan) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 407484295765651956274692
% SZS output start Proof for 407484295765651956274692
4. ! [X0] : ((old(X0) | happy(X0)) <=> ~old(X0)) [input p3]
25. old(susan) [input hypothesis]
44. ! [X0] : (((old(X0) | happy(X0)) | old(X0)) & (~old(X0) | (~old(X0) & ~happy(X0)))) [nnf transformation 4]
45. !... | 0 |
If susan is either not creative or calm then mary is both brave and not quiet and vice versa.
If mary is either not kind or generous then someone is happy.
If someone is both tall and funny then john is either not tall or not wise and vice versa.
If someone is not strong or creative then mary is not old and vice versa.... | John is creative. | contradiction | (((~creative(susan)<~>calm(susan)))<=>((brave(mary)&~quiet(mary))))&
(((~kind(mary)<~>generous(mary)))=>(?[X]:(happy(X))))&
((?[X]:((tall(X)&funny(X))))<=>((~tall(john)<~>~wise(john))))&
((?[X]:((~strong(X)|creative(X))))<=>(~old(mary)))&
(((~brave(fred)&~kind(fred)))=>((generous(john)|brave(john))))&
(![X]:((~humble(X... | creative(john) | [
"p3",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 86948172403179196143239
% SZS output start Proof for 86948172403179196143239
4. ? [X0] : (creative(X0) | ~strong(X0)) <=> ~old(mary) [input p3]
6. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (humble(X0) & wise(X0))) [input p5]
11. ! [X0] : ((~wise(X0) | ~quiet(X0)) <=> old(X0)) [input p10]
15.... | 0 |
Everyone who is not creative is old. Everyone who is wise or not wise is both funny and not old. If someone is both not creative and not humble then mary is not happy or not old. If someone is happy or not wise then lucy is not generous. If alice is both not creative and not calm then mary is strong. Everyone who is ol... | Mary is not funny. | contradiction | (![X]:(~creative(X)=>old(X)))&
(![X]:((wise(X)|~wise(X))=>(funny(X)&~old(X))))&
((?[X]:((~creative(X)&~humble(X))))=>((~happy(mary)|~old(mary))))&
((?[X]:((happy(X)|~wise(X))))=>(~generous(lucy)))&
(((~creative(alice)&~calm(alice)))=>(strong(mary)))&
(![X]:((old(X)|~humble(X))<=>(wise(X)|humble(X))))&
(![X]:((strong(X)... | ~funny(mary) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 6477092047972079023495471
% SZS output start Proof for 6477092047972079023495471
2. ! [X0] : ((~wise(X0) | wise(X0)) => (~old(X0) & funny(X0))) [input p1]
21. ~funny(mary) [input hypothesis]
26. ! [X0] : ((~old(X0) & funny(X0)) | (wise(X0) & ~wise(X0))) [ennf transformation 2]
63. funny(X... | 0 |
Everyone who is brave or not brave is either happy or tall.
If someone is not creative then fred is not wise.
If someone is happy or not wise then someone is both old and kind and vice versa.
Everyone who is both not happy and not quiet is old or tall and vice versa.
Everyone who is not humble or not brave is funny.
If... | Lucy is tall. | entailment | (![X]:((brave(X)|~brave(X))=>(happy(X)<~>tall(X))))&
((?[X]:(~creative(X)))=>(~wise(fred)))&
((?[X]:((happy(X)|~wise(X))))<=>(?[X]:((old(X)&kind(X)))))&
(![X]:((~happy(X)&~quiet(X))<=>(old(X)|tall(X))))&
(![X]:((~humble(X)|~brave(X))=>funny(X)))&
((~wise(john))=>(?[X]:((rich(X)<~>patient(X)))))&
(![X]:((calm(X)|~rich(X... | tall(lucy) | [
"p0",
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8050196332773601217444241
% SZS output start Proof for 8050196332773601217444241
1. ! [X0] : ((~brave(X0) | brave(X0)) => (happy(X0) <~> tall(X0))) [input p0]
3. ? [X0] : (~wise(X0) | happy(X0)) <=> ? [X0] : (kind(X0) & old(X0)) [input p2]
4. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (tall(... | 0 |
Everyone who is not wise or not creative is not strong or not old and vice versa. If alice is old or funny then fred is not humble and vice versa. If fred is either not generous or not tall then paul is either not wise or not quiet. Everyone who is wise is both not generous and not rich. If someone is both not quiet an... | Alice is not old. | entailment | (![X]:((~wise(X)|~creative(X))<=>(~strong(X)|~old(X))))&
(((old(alice)|funny(alice)))<=>(~humble(fred)))&
(((~generous(fred)<~>~tall(fred)))=>((~wise(paul)<~>~quiet(paul))))&
(![X]:(wise(X)=>(~generous(X)&~rich(X))))&
((?[X]:((~quiet(X)&wise(X))))<=>(?[X]:((tall(X)<~>~brave(X)))))&
(((~curious(john)<~>happy(john)))<=>(... | ~old(alice) | [
"p0",
"p3",
"p15",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5283584993781454136350856
% SZS output start Proof for 5283584993781454136350856
1. ! [X0] : ((~creative(X0) | ~wise(X0)) <=> (~old(X0) | ~strong(X0))) [input p0]
4. ! [X0] : (wise(X0) => (~rich(X0) & ~generous(X0))) [input p3]
16. ? [X0] : ~strong(X0) <=> (wise(susan) & strong(susan)) [i... | 0 |
Everyone who is curious is old and vice versa. Everyone who is both not happy and not wise is both not old and not brave and vice versa. If john is either not rich or not calm then mary is rich or not rich. If someone is curious or tall then susan is curious or funny and vice versa. Everyone who is either not brave or ... | Fred is not curious. | neutral | (![X]:(curious(X)<=>old(X)))&
(![X]:((~happy(X)&~wise(X))<=>(~old(X)&~brave(X))))&
(((~rich(john)<~>~calm(john)))=>((rich(mary)|~rich(mary))))&
((?[X]:((curious(X)|tall(X))))<=>((curious(susan)|funny(susan))))&
(![X]:((~brave(X)<~>funny(X))=>(patient(X)<~>~creative(X))))&
(![X]:(~generous(X)=>brave(X)))&
((creative(sus... | ~curious(fred) | [] | null | 0 |
Everyone who is either generous or curious is generous or not creative and vice versa.
Everyone who is both not creative and not brave is not creative or curious and vice versa.
Everyone who is curious is not old and vice versa.
If alice is either not tall or kind then someone is not kind and vice versa.
Everyone who i... | Mary is not curious. | contradiction | (![X]:((generous(X)<~>curious(X))<=>(generous(X)|~creative(X))))&
(![X]:((~creative(X)&~brave(X))<=>(~creative(X)|curious(X))))&
(![X]:(curious(X)<=>~old(X)))&
(((~tall(alice)<~>kind(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((generous(X)&quiet(X))<=>(curious(X)<~>~quiet(X))))&
(![X]:((~kind(X)<~>tall(X))=>(~funny(X)|~curio... | ~curious(mary) | [
"p0",
"p4",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3318900827051346852734113
% SZS output start Proof for 3318900827051346852734113
1. ! [X0] : ((generous(X0) <~> curious(X0)) <=> (~creative(X0) | generous(X0))) [input p0]
5. ! [X0] : ((quiet(X0) & generous(X0)) <=> (curious(X0) <~> ~quiet(X0))) [input p4]
8. (wise(paul) & creative(paul))... | 0 |
Everyone who is either not wise or tall is either not curious or not happy and vice versa. If someone is kind or not old then mary is rich. If alice is either not kind or wise then someone is both not creative and kind and vice versa. Everyone who is not kind or creative is not funny. Everyone who is either not quiet o... | Alice is kind. | neutral | (![X]:((~wise(X)<~>tall(X))<=>(~curious(X)<~>~happy(X))))&
((?[X]:((kind(X)|~old(X))))=>(rich(mary)))&
(((~kind(alice)<~>wise(alice)))<=>(?[X]:((~creative(X)&kind(X)))))&
(![X]:((~kind(X)|creative(X))=>~funny(X)))&
(![X]:((~quiet(X)<~>~funny(X))<=>(tall(X)|~curious(X))))&
((?[X]:(funny(X)))<=>(?[X]:((curious(X)|~quiet(... | kind(alice) | [] | null | 0 |
Everyone who is not funny is both not generous and strong.
If paul is either happy or not wise then someone is calm or old.
Everyone who is either brave or generous is both not funny and curious.
Everyone who is calm or not calm is either not old or calm.
If someone is both not humble and generous then john is not gene... | Fred is old. | entailment | (![X]:(~funny(X)=>(~generous(X)&strong(X))))&
(((happy(paul)<~>~wise(paul)))=>(?[X]:((calm(X)|old(X)))))&
(![X]:((brave(X)<~>generous(X))=>(~funny(X)&curious(X))))&
(![X]:((calm(X)|~calm(X))=>(~old(X)<~>calm(X))))&
((?[X]:((~humble(X)&generous(X))))<=>(~generous(john)))&
(![X]:((strong(X)&creative(X))=>(~humble(X)<~>cr... | old(fred) | [
"p0",
"p10",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1925555907201510092191590
% SZS output start Proof for 1925555907201510092191590
1. ! [X0] : (~funny(X0) => (strong(X0) & ~generous(X0))) [input p0]
11. ! [X0] : ((~rich(X0) | ~generous(X0)) => (~old(X0) <~> happy(X0))) [input p10]
19. ~rich(fred) & happy(fred) [input p18]
21. ~rich(fred)... | 0 |
Everyone who is both not funny and curious is either kind or happy and vice versa.
If alice is not calm then john is both not curious and not patient.
If lucy is wise then someone is either not patient or not quiet.
Everyone who is not happy or quiet is either tall or not kind and vice versa.
If someone is both creativ... | Susan is happy. | contradiction | (![X]:((~funny(X)&curious(X))<=>(kind(X)<~>happy(X))))&
((~calm(alice))=>((~curious(john)&~patient(john))))&
((wise(lucy))=>(?[X]:((~patient(X)<~>~quiet(X)))))&
(![X]:((~happy(X)|quiet(X))<=>(tall(X)<~>~kind(X))))&
((?[X]:((creative(X)&~funny(X))))<=>((old(susan)<~>calm(susan))))&
(((generous(john)|~curious(john)))<=>(... | happy(susan) | [
"p5",
"p8",
"p9",
"p11",
"p12",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 550914142288885116480317
% SZS output start Proof for 550914142288885116480317
6. (~curious(john) | generous(john)) <=> (happy(susan) <~> strong(susan)) [input p5]
9. ? [X0] : (old(X0) | ~happy(X0)) <=> (strong(susan) & generous(susan)) [input p8]
10. (~calm(john) | ~wise(john)) <=> ~tall... | 0 |
Everyone who is curious or old is humble or generous.
If someone is either not calm or not rich then lucy is both generous and happy.
Everyone who is both calm and not patient is not tall and vice versa.
If mary is not happy or not strong then lucy is either strong or generous and vice versa.
If mary is not tall then s... | Lucy is happy. | entailment | (![X]:((curious(X)|old(X))=>(humble(X)|generous(X))))&
((?[X]:((~calm(X)<~>~rich(X))))=>((generous(lucy)&happy(lucy))))&
(![X]:((calm(X)&~patient(X))<=>~tall(X)))&
(((~happy(mary)|~strong(mary)))<=>((strong(lucy)<~>generous(lucy))))&
((~tall(mary))<=>(?[X]:(curious(X))))&
(((~quiet(john)<~>patient(john)))=>((~creative(... | happy(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 64611766020602856374450
% SZS output start Proof for 64611766020602856374450
8. ! [X0] : ((~happy(X0) | strong(X0)) <=> happy(X0)) [input p7]
25. ~happy(lucy) [input hypothesis]
51. ! [X0] : (((~happy(X0) | strong(X0)) | ~happy(X0)) & (happy(X0) | (happy(X0) & ~strong(X0)))) [nnf transfor... | 0 |
If someone is old or not patient then someone is either not kind or not patient and vice versa.
Everyone who is not patient or tall is calm and vice versa.
Everyone who is not patient or not wise is rich or not humble.
Everyone who is old is both patient and not patient.
Everyone who is either quiet or generous is not ... | Lucy is not old. | entailment | ((?[X]:((old(X)|~patient(X))))<=>(?[X]:((~kind(X)<~>~patient(X)))))&
(![X]:((~patient(X)|tall(X))<=>calm(X)))&
(![X]:((~patient(X)|~wise(X))=>(rich(X)|~humble(X))))&
(![X]:(old(X)=>(patient(X)&~patient(X))))&
(![X]:((quiet(X)<~>generous(X))=>~humble(X)))&
(((funny(paul)<~>~creative(paul)))<=>(?[X]:(~wise(X))))&
(![X]:(... | ~old(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5369768147073982009100771
% SZS output start Proof for 5369768147073982009100771
4. ! [X0] : (old(X0) => (~patient(X0) & patient(X0))) [input p3]
25. old(lucy) [input hypothesis]
29. ! [X0] : ((~patient(X0) & patient(X0)) | ~old(X0)) [ennf transformation 4]
83. patient(X0) | ~old(X0) [cnf... | 0 |
Everyone who is happy is both not calm and brave and vice versa.
If someone is rich or not patient then alice is generous.
If someone is old or not brave then someone is not old.
Everyone who is either not creative or not funny is not curious.
If someone is both creative and not wise then someone is both not funny and ... | Lucy is not patient. | contradiction | (![X]:(happy(X)<=>(~calm(X)&brave(X))))&
((?[X]:((rich(X)|~patient(X))))=>(generous(alice)))&
((?[X]:((old(X)|~brave(X))))=>(?[X]:(~old(X))))&
(![X]:((~creative(X)<~>~funny(X))=>~curious(X)))&
((?[X]:((creative(X)&~wise(X))))<=>(?[X]:((~funny(X)&creative(X)))))&
((?[X]:(~curious(X)))<=>((~happy(john)&~creative(john))))... | ~patient(lucy) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 83894360072950157443310
% SZS output start Proof for 83894360072950157443310
2. ? [X0] : (~patient(X0) | rich(X0)) => generous(alice) [input p1]
14. ! [X0] : ((~funny(X0) | ~generous(X0)) <=> funny(X0)) [input p13]
21. ~patient(lucy) [input hypothesis]
25. ? [X0] : ~patient(X0) => generou... | 0 |
Everyone who is either creative or wise is not funny or tall and vice versa.
Everyone who is not calm or not kind is humble or not old and vice versa.
If someone is humble then alice is creative or not wise.
If someone is both funny and not calm then lucy is either wise or patient and vice versa.
Everyone who is either... | Paul is patient. | contradiction | (![X]:((creative(X)<~>wise(X))<=>(~funny(X)|tall(X))))&
(![X]:((~calm(X)|~kind(X))<=>(humble(X)|~old(X))))&
((?[X]:(humble(X)))=>((creative(alice)|~wise(alice))))&
((?[X]:((funny(X)&~calm(X))))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((creative(X)<~>~calm(X))<=>(creative(X)<~>~funny(X))))&
((?[X]:((~tall(X)|~creative(... | patient(paul) | [
"p0",
"p4",
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4752675010960243111501540
% SZS output start Proof for 4752675010960243111501540
1. ! [X0] : ((creative(X0) <~> wise(X0)) <=> (tall(X0) | ~funny(X0))) [input p0]
5. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (creative(X0) <~> ~funny(X0))) [input p4]
6. ? [X0] : (~creative(X0) | ~tall(X0))... | 0 |
Everyone who is quiet is either not kind or strong.
If paul is not curious or not quiet then fred is both wise and kind and vice versa.
If someone is not patient then susan is not patient and vice versa.
Everyone who is both not funny and not rich is both quiet and not rich and vice versa.
Everyone who is both happy an... | Paul is not brave. | contradiction | (![X]:(quiet(X)=>(~kind(X)<~>strong(X))))&
(((~curious(paul)|~quiet(paul)))<=>((wise(fred)&kind(fred))))&
((?[X]:(~patient(X)))<=>(~patient(susan)))&
(![X]:((~funny(X)&~rich(X))<=>(quiet(X)&~rich(X))))&
(![X]:((happy(X)&creative(X))<=>(quiet(X)|~calm(X))))&
((~curious(paul))=>(brave(alice)))&
((?[X]:((~brave(X)|~curiou... | ~brave(paul) | [
"p1",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8916121710599448041583741
% SZS output start Proof for 8916121710599448041583741
2. (~quiet(paul) | ~curious(paul)) <=> (kind(fred) & wise(fred)) [input p1]
7. ? [X0] : (~curious(X0) | ~brave(X0)) => (~quiet(paul) | brave(paul)) [input p6]
19. ~wise(fred) [input p18]
25. ~brave(paul) [inp... | 0 |
Everyone who is not happy or not rich is old.
Everyone who is not wise is both rich and not quiet and vice versa.
Everyone who is both patient and happy is both tall and happy.
Everyone who is generous is not generous or quiet and vice versa.
If someone is either strong or not generous then john is either not happy or ... | Mary is generous. | entailment | (![X]:((~happy(X)|~rich(X))=>old(X)))&
(![X]:(~wise(X)<=>(rich(X)&~quiet(X))))&
(![X]:((patient(X)&happy(X))=>(tall(X)&happy(X))))&
(![X]:(generous(X)<=>(~generous(X)|quiet(X))))&
((?[X]:((strong(X)<~>~generous(X))))<=>((~happy(john)<~>quiet(john))))&
((?[X]:(~patient(X)))<=>(?[X]:((wise(X)<~>~happy(X)))))&
(![X]:(~gen... | generous(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3218761916920638480982181
% SZS output start Proof for 3218761916920638480982181
4. ! [X0] : (generous(X0) <=> (quiet(X0) | ~generous(X0))) [input p3]
24. ~generous(mary) [input hypothesis]
36. ! [X0] : ((generous(X0) | (~quiet(X0) & generous(X0))) & ((quiet(X0) | ~generous(X0)) | ~genero... | 0 |
If lucy is not patient then someone is rich and vice versa.
Everyone who is not brave is both not kind and strong.
If fred is not creative then lucy is both old and not generous.
Everyone who is quiet is tall.
Everyone who is brave is both happy and rich.
Everyone who is not patient is both not humble and patient and v... | Fred is not creative. | contradiction | ((~patient(lucy))<=>(?[X]:(rich(X))))&
(![X]:(~brave(X)=>(~kind(X)&strong(X))))&
((~creative(fred))=>((old(lucy)&~generous(lucy))))&
(![X]:(quiet(X)=>tall(X)))&
(![X]:(brave(X)=>(happy(X)&rich(X))))&
(![X]:(~patient(X)<=>(~humble(X)&patient(X))))&
((?[X]:((quiet(X)&~kind(X))))=>((tall(john)&~rich(john))))&
(![X]:((stro... | ~creative(fred) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7530928034295509790336277
% SZS output start Proof for 7530928034295509790336277
1. ~patient(lucy) <=> ? [X0] : rich(X0) [input p0]
2. ! [X0] : (~brave(X0) => (strong(X0) & ~kind(X0))) [input p1]
3. ~creative(fred) => (~generous(lucy) & old(lucy)) [input p2]
5. ! [X0] : (brave(X0) => (ric... | 0 |
If paul is generous then someone is old.
If someone is both not generous and not rich then mary is not generous and vice versa.
If someone is both kind and not brave then lucy is both not calm and not brave.
If mary is either not creative or calm then someone is either strong or not strong and vice versa.
Everyone who ... | Mary is not calm. | entailment | ((generous(paul))=>(?[X]:(old(X))))&
((?[X]:((~generous(X)&~rich(X))))<=>(~generous(mary)))&
((?[X]:((kind(X)&~brave(X))))=>((~calm(lucy)&~brave(lucy))))&
(((~creative(mary)<~>calm(mary)))<=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((rich(X)&patient(X))=>(quiet(X)|creative(X))))&
(![X]:(~calm(X)=>(~patient(X)<~>~funny... | ~calm(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 78886898597287459602898
% SZS output start Proof for 78886898597287459602898
11. ! [X0] : ((~wise(X0) <~> calm(X0)) <=> ~wise(X0)) [input p10]
25. calm(mary) [input hypothesis]
58. ! [X0] : ((((~calm(X0) | wise(X0)) & (calm(X0) | ~wise(X0))) | wise(X0)) & (~wise(X0) | ((~wise(X0) | ~calm(... | 0 |
Everyone who is not tall is both not rich and tall and vice versa. If mary is brave or wise then paul is not tall and vice versa. If someone is humble then paul is brave or not generous and vice versa. If someone is not kind then alice is both not brave and curious. If alice is both not quiet and old then someone is pa... | Alice is not brave. | entailment | (![X]:(~tall(X)<=>(~rich(X)&tall(X))))&
(((brave(mary)|wise(mary)))<=>(~tall(paul)))&
((?[X]:(humble(X)))<=>((brave(paul)|~generous(paul))))&
((?[X]:(~kind(X)))=>((~brave(alice)&curious(alice))))&
(((~quiet(alice)&old(alice)))<=>(?[X]:(patient(X))))&
(((strong(alice)&rich(alice)))=>(~rich(lucy)))&
(((tall(fred)<~>~brav... | ~brave(alice) | [
"p3",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8559114509638540798785667
% SZS output start Proof for 8559114509638540798785667
4. ? [X0] : ~kind(X0) => (curious(alice) & ~brave(alice)) [input p3]
8. ! [X0] : ((rich(X0) & ~kind(X0)) <=> ~curious(X0)) [input p7]
21. ~curious(susan) & old(susan) [input p20]
23. brave(alice) [input hypot... | 0 |
Everyone who is kind or humble is not quiet.
Everyone who is not happy or not old is both not humble and generous and vice versa.
Everyone who is either not wise or wise is both funny and not creative.
If someone is kind or not funny then someone is calm and vice versa.
If someone is not curious then susan is either cu... | Alice is strong. | contradiction | (![X]:((kind(X)|humble(X))=>~quiet(X)))&
(![X]:((~happy(X)|~old(X))<=>(~humble(X)&generous(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&~creative(X))))&
((?[X]:((kind(X)|~funny(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~curious(X)))=>((curious(susan)<~>old(susan))))&
(![X]:(strong(X)<=>(~funny(X)&~curious(X))))&
(((~happy(ma... | strong(alice) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 137705238721403374706162
% SZS output start Proof for 137705238721403374706162
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~creative(X0) & funny(X0))) [input p2]
6. ! [X0] : (strong(X0) <=> (~curious(X0) & ~funny(X0))) [input p5]
24. strong(alice) [input hypothesis]
29. ! [X0] : ((~creative... | 0 |
Everyone who is not wise is both not kind and not strong. If lucy is either creative or rich then someone is humble. Everyone who is both calm and not humble is both curious and calm and vice versa. If john is either not funny or tall then susan is both brave and rich. Everyone who is either humble or tall is both wise... | John is brave. | neutral | (![X]:(~wise(X)=>(~kind(X)&~strong(X))))&
(((creative(lucy)<~>rich(lucy)))=>(?[X]:(humble(X))))&
(![X]:((calm(X)&~humble(X))<=>(curious(X)&calm(X))))&
(((~funny(john)<~>tall(john)))=>((brave(susan)&rich(susan))))&
(![X]:((humble(X)<~>tall(X))<=>(wise(X)&~strong(X))))&
(![X]:((~curious(X)|~strong(X))=>curious(X)))&
((?[... | brave(john) | [] | null | 0 |
If lucy is not strong or wise then alice is not happy.
Everyone who is not old or not happy is not humble or not rich and vice versa.
Everyone who is not humble is either patient or quiet and vice versa.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who... | Alice is not humble. | contradiction | (((~strong(lucy)|wise(lucy)))=>(~happy(alice)))&
(![X]:((~old(X)|~happy(X))<=>(~humble(X)|~rich(X))))&
(![X]:(~humble(X)<=>(patient(X)<~>quiet(X))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:(... | ~humble(alice) | [
"p5",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4161037646453534456777070
% SZS output start Proof for 4161037646453534456777070
6. ! [X0] : ((creative(X0) | curious(X0)) => tall(X0)) [input p5]
7. ! [X0] : (generous(X0) <=> curious(X0)) [input p6]
8. ! [X0] : ((~calm(X0) & ~generous(X0)) <=> (~generous(X0) | ~happy(X0))) [input p7]
9.... | 0 |
If susan is both not funny and generous then alice is either strong or brave.
Everyone who is either not wise or not quiet is both not curious and rich and vice versa.
Everyone who is either not funny or old is both not strong and generous.
If someone is both not creative and rich then someone is either quiet or not ca... | Mary is humble. | contradiction | (((~funny(susan)&generous(susan)))=>((strong(alice)<~>brave(alice))))&
(![X]:((~wise(X)<~>~quiet(X))<=>(~curious(X)&rich(X))))&
(![X]:((~funny(X)<~>old(X))=>(~strong(X)&generous(X))))&
((?[X]:((~creative(X)&rich(X))))=>(?[X]:((quiet(X)<~>~calm(X)))))&
(![X]:(old(X)<=>(~rich(X)|old(X))))&
(![X]:((~rich(X)&quiet(X))=>(br... | humble(mary) | [
"p6",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8975947797436539263873316
% SZS output start Proof for 8975947797436539263873316
7. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> (~kind(X0) <~> ~humble(X0))) [input p6]
15. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> strong(X0)) [input p14]
24. quiet(mary) & ~kind(mary) [input p23]
25. humble(... | 0 |
If alice is not creative or funny then paul is not curious and vice versa.
If susan is not happy then fred is not patient or not strong and vice versa.
Everyone who is not old is either not curious or old.
If someone is both not rich and not generous then alice is not strong.
Everyone who is happy or not curious is eit... | Paul is strong. | contradiction | (((~creative(alice)|funny(alice)))<=>(~curious(paul)))&
((~happy(susan))<=>((~patient(fred)|~strong(fred))))&
(![X]:(~old(X)=>(~curious(X)<~>old(X))))&
((?[X]:((~rich(X)&~generous(X))))=>(~strong(alice)))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)... | strong(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 345897606401299062387336
% SZS output start Proof for 345897606401299062387336
17. ~strong(paul) [input p16]
25. strong(paul) [input hypothesis]
122. ~strong(paul) [cnf transformation 17]
134. strong(paul) [cnf transformation 25]
244. 22 <=> strong(paul) [avatar definition]
255. ~22 [avat... | 0 |
If someone is generous then mary is brave or not rich and vice versa. If someone is both not brave and humble then someone is not strong or not humble. Everyone who is either patient or creative is both old and quiet. Everyone who is both not happy and generous is not calm and vice versa. Everyone who is not strong is ... | Mary is strong. | contradiction | ((?[X]:(generous(X)))<=>((brave(mary)|~rich(mary))))&
((?[X]:((~brave(X)&humble(X))))=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((patient(X)<~>creative(X))=>(old(X)&quiet(X))))&
(![X]:((~happy(X)&generous(X))<=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&... | strong(mary) | [
"p2",
"p3",
"p4",
"p6",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1978825090492019724789787
% SZS output start Proof for 1978825090492019724789787
3. ! [X0] : ((patient(X0) <~> creative(X0)) => (quiet(X0) & old(X0))) [input p2]
4. ! [X0] : ((generous(X0) & ~happy(X0)) <=> ~calm(X0)) [input p3]
5. ! [X0] : (~strong(X0) <=> (old(X0) | kind(X0))) [input p4... | 0 |
If someone is rich or calm then susan is generous or happy. Everyone who is both not humble and patient is both not happy and strong and vice versa. Everyone who is not patient is both not funny and strong. If someone is either patient or not curious then someone is kind and vice versa. If someone is either not old or ... | Mary is not brave. | entailment | ((?[X]:((rich(X)|calm(X))))=>((generous(susan)|happy(susan))))&
(![X]:((~humble(X)&patient(X))<=>(~happy(X)&strong(X))))&
(![X]:(~patient(X)=>(~funny(X)&strong(X))))&
((?[X]:((patient(X)<~>~curious(X))))<=>(?[X]:(kind(X))))&
((?[X]:((~old(X)<~>~funny(X))))=>((~creative(fred)<~>~rich(fred))))&
(![X]:((rich(X)<~>~rich(X)... | ~brave(mary) | [
"p5",
"p7",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3351551244573003400110305
% SZS output start Proof for 3351551244573003400110305
6. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> ~creative(X0)) [input p5]
8. ? [X0] : (curious(X0) <~> funny(X0)) => ? [X0] : (happy(X0) & ~kind(X0)) [input p7]
9. ! [X0] : ((rich(X0) & curious(X0)) <=> (~creative(... | 0 |
If someone is either not old or quiet then alice is either not happy or not calm and vice versa. If someone is brave or not humble then someone is calm and vice versa. If paul is both humble and calm then paul is not humble or rich. Everyone who is kind is either humble or rich. Everyone who is both tall and not humble... | Mary is old. | contradiction | ((?[X]:((~old(X)<~>quiet(X))))<=>((~happy(alice)<~>~calm(alice))))&
((?[X]:((brave(X)|~humble(X))))<=>(?[X]:(calm(X))))&
(((humble(paul)&calm(paul)))=>((~humble(paul)|rich(paul))))&
(![X]:(kind(X)=>(humble(X)<~>rich(X))))&
(![X]:((tall(X)&~humble(X))<=>(~patient(X)|patient(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(curi... | old(mary) | [
"p0",
"p4",
"p5",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8995406784071626822217059
% SZS output start Proof for 8995406784071626822217059
1. ? [X0] : (~old(X0) <~> quiet(X0)) <=> (~happy(alice) <~> ~calm(alice)) [input p0]
5. ! [X0] : ((~humble(X0) & tall(X0)) <=> (patient(X0) | ~patient(X0))) [input p4]
6. ! [X0] : ((~humble(X0) <~> humble(X0)... | 0 |
If someone is not kind or not wise then fred is not patient or rich and vice versa.
If lucy is quiet or generous then someone is creative and vice versa.
Everyone who is either not happy or old is funny.
If alice is both kind and not patient then john is calm or quiet.
Everyone who is both not wise and quiet is either ... | Alice is not strong. | contradiction | ((?[X]:((~kind(X)|~wise(X))))<=>((~patient(fred)|rich(fred))))&
(((quiet(lucy)|generous(lucy)))<=>(?[X]:(creative(X))))&
(![X]:((~happy(X)<~>old(X))=>funny(X)))&
(((kind(alice)&~patient(alice)))=>((calm(john)|quiet(john))))&
(![X]:((~wise(X)&quiet(X))=>(~strong(X)<~>strong(X))))&
(![X]:((creative(X)&quiet(X))<=>(old(X)... | ~strong(alice) | [
"p5",
"p6",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5657162761455987958166105
% SZS output start Proof for 5657162761455987958166105
6. ! [X0] : ((quiet(X0) & creative(X0)) <=> (~strong(X0) | old(X0))) [input p5]
7. ! [X0] : ((quiet(X0) | ~creative(X0)) <=> (~curious(X0) <~> ~old(X0))) [input p6]
11. ! [X0] : (~strong(X0) <=> kind(X0)) [in... | 0 |
Everyone who is either quiet or funny is old.
Everyone who is either not old or quiet is not humble.
Everyone who is either wise or not tall is brave or happy and vice versa.
If john is not patient or rich then someone is not tall and vice versa.
Everyone who is either funny or wise is tall or not humble.
If someone is... | Paul is kind. | neutral | (![X]:((quiet(X)<~>funny(X))=>old(X)))&
(![X]:((~old(X)<~>quiet(X))=>~humble(X)))&
(![X]:((wise(X)<~>~tall(X))<=>(brave(X)|happy(X))))&
(((~patient(john)|rich(john)))<=>(?[X]:(~tall(X))))&
(![X]:((funny(X)<~>wise(X))=>(tall(X)|~humble(X))))&
((?[X]:((old(X)|brave(X))))=>(?[X]:((humble(X)|~old(X)))))&
((?[X]:((~creative... | kind(paul) | [] | null | 0 |
Everyone who is either not humble or not old is both tall and not happy.
Everyone who is both not generous and not curious is both not funny and wise.
If mary is either tall or rich then paul is brave and vice versa.
If someone is not old then lucy is both not calm and creative and vice versa.
Everyone who is both not ... | Mary is not wise. | contradiction | (![X]:((~humble(X)<~>~old(X))=>(tall(X)&~happy(X))))&
(![X]:((~generous(X)&~curious(X))=>(~funny(X)&wise(X))))&
(((tall(mary)<~>rich(mary)))<=>(brave(paul)))&
((?[X]:(~old(X)))<=>((~calm(lucy)&creative(lucy))))&
(![X]:((~wise(X)&strong(X))<=>(tall(X)&kind(X))))&
(((~funny(lucy)<~>patient(lucy)))<=>(?[X]:((~strong(X)<~>... | ~wise(mary) | [
"p4",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1376551549580692803386057
% SZS output start Proof for 1376551549580692803386057
5. ! [X0] : ((strong(X0) & ~wise(X0)) <=> (kind(X0) & tall(X0))) [input p4]
14. ! [X0] : ((~kind(X0) | curious(X0)) => strong(X0)) [input p13]
15. ! [X0] : ((~patient(X0) & ~kind(X0)) <=> (rich(X0) | ~rich(X0... | 0 |
If someone is strong or not curious then fred is both quiet and old and vice versa. Everyone who is not generous or calm is either happy or brave and vice versa. Everyone who is both funny and not funny is kind and vice versa. Everyone who is not calm or calm is either kind or not calm and vice versa. If susan is both ... | Fred is not humble. | entailment | ((?[X]:((strong(X)|~curious(X))))<=>((quiet(fred)&old(fred))))&
(![X]:((~generous(X)|calm(X))<=>(happy(X)<~>brave(X))))&
(![X]:((funny(X)&~funny(X))<=>kind(X)))&
(![X]:((~calm(X)|calm(X))<=>(kind(X)<~>~calm(X))))&
(((~quiet(susan)&curious(susan)))<=>(?[X]:((strong(X)<~>tall(X)))))&
((~quiet(susan))=>(?[X]:((~strong(X)&... | ~humble(fred) | [
"p1",
"p2",
"p3",
"p6",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5627047108350287939742258
% SZS output start Proof for 5627047108350287939742258
2. ! [X0] : ((calm(X0) | ~generous(X0)) <=> (happy(X0) <~> brave(X0))) [input p1]
3. ! [X0] : ((~funny(X0) & funny(X0)) <=> kind(X0)) [input p2]
4. ! [X0] : ((calm(X0) | ~calm(X0)) <=> (kind(X0) <~> ~calm(X0)... | 0 |
Everyone who is not curious is both not wise and strong and vice versa.
Everyone who is not creative is both humble and tall and vice versa.
If someone is old or not quiet then someone is either not happy or not curious.
Everyone who is both quiet and patient is either not kind or not patient and vice versa.
If john is... | Paul is calm. | neutral | (![X]:(~curious(X)<=>(~wise(X)&strong(X))))&
(![X]:(~creative(X)<=>(humble(X)&tall(X))))&
((?[X]:((old(X)|~quiet(X))))=>(?[X]:((~happy(X)<~>~curious(X)))))&
(![X]:((quiet(X)&patient(X))<=>(~kind(X)<~>~patient(X))))&
(((calm(john)&~strong(john)))=>((~humble(paul)|funny(paul))))&
((?[X]:((~happy(X)|~quiet(X))))<=>((~happ... | calm(paul) | [] | null | 0 |
Everyone who is either funny or not tall is not happy or not patient.
If someone is generous then lucy is old and vice versa.
If someone is kind then someone is not calm or creative.
If someone is both not kind and wise then someone is both not generous and not quiet.
Everyone who is not calm is rich.
Everyone who is b... | Alice is calm. | contradiction | (![X]:((funny(X)<~>~tall(X))=>(~happy(X)|~patient(X))))&
((?[X]:(generous(X)))<=>(old(lucy)))&
((?[X]:(kind(X)))=>(?[X]:((~calm(X)|creative(X)))))&
((?[X]:((~kind(X)&wise(X))))=>(?[X]:((~generous(X)&~quiet(X)))))&
(![X]:(~calm(X)=>rich(X)))&
(![X]:((quiet(X)&patient(X))<=>(brave(X)|happy(X))))&
(![X]:((wise(X)<~>~curio... | calm(alice) | [
"p5",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6628997654163098199656728
% SZS output start Proof for 6628997654163098199656728
6. ! [X0] : ((patient(X0) & quiet(X0)) <=> (happy(X0) | brave(X0))) [input p5]
9. ! [X0] : ((calm(X0) <~> happy(X0)) => (quiet(X0) | happy(X0))) [input p8]
16. ! [X0] : (~old(X0) <=> quiet(X0)) [input p15]
23... | 0 |
Everyone who is kind or not humble is both old and not tall. Everyone who is strong or old is both not wise and rich and vice versa. If lucy is either not tall or generous then john is either generous or happy. Everyone who is brave is not kind. Everyone who is either not patient or patient is either not old or old and... | Fred is not tall. | entailment | (![X]:((kind(X)|~humble(X))=>(old(X)&~tall(X))))&
(![X]:((strong(X)|old(X))<=>(~wise(X)&rich(X))))&
(((~tall(lucy)<~>generous(lucy)))=>((generous(john)<~>happy(john))))&
(![X]:(brave(X)=>~kind(X)))&
(![X]:((~patient(X)<~>patient(X))<=>(~old(X)<~>old(X))))&
(![X]:((old(X)&funny(X))=>(~calm(X)&old(X))))&
(![X]:(~wise(X)=... | ~tall(fred) | [
"p0",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5330265683622287498730006
% SZS output start Proof for 5330265683622287498730006
1. ! [X0] : ((~humble(X0) | kind(X0)) => (~tall(X0) & old(X0))) [input p0]
7. ! [X0] : (~wise(X0) => ~tall(X0)) [input p6]
9. ! [X0] : ((wise(X0) <~> ~funny(X0)) <=> (~patient(X0) & ~humble(X0))) [input p8]
1... | 0 |
If someone is either brave or not strong then lucy is either not tall or rich.
Everyone who is old or not calm is tall or quiet.
Everyone who is both not wise and old is either not rich or funny and vice versa.
Everyone who is either calm or not generous is not old or calm and vice versa.
Everyone who is brave is both ... | Mary is curious. | neutral | ((?[X]:((brave(X)<~>~strong(X))))=>((~tall(lucy)<~>rich(lucy))))&
(![X]:((old(X)|~calm(X))=>(tall(X)|quiet(X))))&
(![X]:((~wise(X)&old(X))<=>(~rich(X)<~>funny(X))))&
(![X]:((calm(X)<~>~generous(X))<=>(~old(X)|calm(X))))&
(![X]:(brave(X)=>(kind(X)&wise(X))))&
(![X]:((tall(X)|patient(X))=>(old(X)&~quiet(X))))&
((?[X]:((~... | curious(mary) | [] | null | 0 |
If someone is quiet then fred is either creative or generous.
Everyone who is both patient and calm is both not rich and not happy and vice versa.
If alice is both humble and not tall then someone is humble.
Everyone who is both happy and not curious is not happy or curious.
Everyone who is not curious is both not gene... | Alice is not tall. | entailment | ((?[X]:(quiet(X)))=>((creative(fred)<~>generous(fred))))&
(![X]:((patient(X)&calm(X))<=>(~rich(X)&~happy(X))))&
(((humble(alice)&~tall(alice)))=>(?[X]:(humble(X))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((patient(X)<~>funny(X))))<=>(?[X]:((brav... | ~tall(alice) | [
"p1",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8662871972802406541998745
% SZS output start Proof for 8662871972802406541998745
2. ! [X0] : ((calm(X0) & patient(X0)) <=> (~happy(X0) & ~rich(X0))) [input p1]
8. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p7]
12. ? [X0] : (~tall(X0) | old(X0)) <=> (calm(alice) & patien... | 0 |
If someone is humble then someone is not strong and vice versa.
If someone is either not creative or not wise then someone is both curious and humble and vice versa.
If someone is not strong then john is not creative or generous and vice versa.
Everyone who is old or brave is both not kind and not brave and vice versa.... | Paul is not brave. | entailment | ((?[X]:(humble(X)))<=>(?[X]:(~strong(X))))&
((?[X]:((~creative(X)<~>~wise(X))))<=>(?[X]:((curious(X)&humble(X)))))&
((?[X]:(~strong(X)))<=>((~creative(john)|generous(john))))&
(![X]:((old(X)|brave(X))<=>(~kind(X)&~brave(X))))&
(((~quiet(susan)|strong(susan)))=>(~tall(john)))&
(((~creative(paul)<~>~brave(paul)))<=>((~wi... | ~brave(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3118303220831463023779066
% SZS output start Proof for 3118303220831463023779066
4. ! [X0] : ((brave(X0) | old(X0)) <=> (~brave(X0) & ~kind(X0))) [input p3]
22. brave(paul) [input hypothesis]
48. ! [X0] : (((brave(X0) | old(X0)) | (brave(X0) | kind(X0))) & ((~brave(X0) & ~kind(X0)) | (~br... | 0 |
If lucy is not rich then someone is both not brave and not happy. If fred is both not old and not funny then susan is old or not old. Everyone who is not old or generous is both kind and not generous and vice versa. If someone is both not quiet and not creative then fred is quiet or happy and vice versa. If alice is ei... | Fred is wise. | entailment | ((~rich(lucy))=>(?[X]:((~brave(X)&~happy(X)))))&
(((~old(fred)&~funny(fred)))=>((old(susan)|~old(susan))))&
(![X]:((~old(X)|generous(X))<=>(kind(X)&~generous(X))))&
((?[X]:((~quiet(X)&~creative(X))))<=>((quiet(fred)|happy(fred))))&
(((~humble(alice)<~>~calm(alice)))=>(~curious(john)))&
(![X]:((~humble(X)&funny(X))=>(~h... | wise(fred) | [
"p6",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6583651151134810493998742
% SZS output start Proof for 6583651151134810493998742
7. (generous(fred) | ~wise(fred)) => happy(paul) [input p6]
13. ! [X0] : (happy(X0) <=> ~strong(X0)) [input p12]
19. strong(paul) [input p18]
25. ~wise(fred) [input hypothesis]
34. happy(paul) | (~generous(fr... | 0 |
Everyone who is generous is not curious or not patient and vice versa. Everyone who is happy is not generous. If someone is both not funny and creative then mary is calm or not strong. Everyone who is both curious and not kind is creative and vice versa. If susan is not kind then john is both tall and calm. If mary is ... | Paul is generous. | neutral | (![X]:(generous(X)<=>(~curious(X)|~patient(X))))&
(![X]:(happy(X)=>~generous(X)))&
((?[X]:((~funny(X)&creative(X))))=>((calm(mary)|~strong(mary))))&
(![X]:((curious(X)&~kind(X))<=>creative(X)))&
((~kind(susan))=>((tall(john)&calm(john))))&
(((happy(mary)&~patient(mary)))=>((~creative(paul)<~>~generous(paul))))&
((happy... | generous(paul) | [] | null | 0 |
If susan is both not patient and not rich then fred is kind and vice versa. If paul is not rich then someone is either not quiet or not wise and vice versa. Everyone who is both calm and rich is either not old or not patient and vice versa. Everyone who is happy is either not quiet or not tall. If someone is either not... | Mary is not calm. | neutral | (((~patient(susan)&~rich(susan)))<=>(kind(fred)))&
((~rich(paul))<=>(?[X]:((~quiet(X)<~>~wise(X)))))&
(![X]:((calm(X)&rich(X))<=>(~old(X)<~>~patient(X))))&
(![X]:(happy(X)=>(~quiet(X)<~>~tall(X))))&
((?[X]:((~rich(X)<~>creative(X))))<=>((brave(lucy)&~humble(lucy))))&
(![X]:((funny(X)|~calm(X))<=>(~kind(X)&~patient(X)))... | ~calm(mary) | [] | null | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.