premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is both tall and curious is not kind and vice versa.
Everyone who is both not tall and rich is old and vice versa.
Everyone who is either not old or not kind is both kind and not patient and vice versa.
Everyone who is both creative and not kind is either not tall or rich.
Everyone who is both not rich and... | Lucy is humble. | neutral | (![X]:((tall(X)&curious(X))<=>~kind(X)))&
(![X]:((~tall(X)&rich(X))<=>old(X)))&
(![X]:((~old(X)<~>~kind(X))<=>(kind(X)&~patient(X))))&
(![X]:((creative(X)&~kind(X))=>(~tall(X)<~>rich(X))))&
(![X]:((~rich(X)&~humble(X))=>~generous(X)))&
(![X]:((brave(X)|~funny(X))<=>(kind(X)|funny(X))))&
(![X]:((kind(X)|~humble(X))=>(wi... | humble(lucy) | [] | null | 0 |
Everyone who is not old is both strong and funny and vice versa. Everyone who is either not creative or kind is both old and not old and vice versa. Everyone who is either patient or generous is both old and calm and vice versa. If someone is both brave and generous then paul is not happy or not humble. If lucy is eith... | Mary is kind. | contradiction | (![X]:(~old(X)<=>(strong(X)&funny(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(old(X)&~old(X))))&
(![X]:((patient(X)<~>generous(X))<=>(old(X)&calm(X))))&
((?[X]:((brave(X)&generous(X))))=>((~happy(paul)|~humble(paul))))&
(((kind(lucy)<~>funny(lucy)))<=>((tall(john)<~>old(john))))&
(![X]:(generous(X)=>(~creative(X)&funny(X... | kind(mary) | [
"p1",
"p7",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2620858792126869202908635
% SZS output start Proof for 2620858792126869202908635
2. ! [X0] : ((~creative(X0) <~> kind(X0)) <=> (~old(X0) & old(X0))) [input p1]
8. ! [X0] : ((generous(X0) | curious(X0)) <=> ~rich(X0)) [input p7]
12. creative(mary) <=> ? [X0] : (strong(X0) | humble(X0)) [in... | 0 |
Everyone who is both funny and not tall is both brave and not generous. Everyone who is happy is not old and vice versa. Everyone who is not happy is both generous and calm. Everyone who is old or rich is kind. Everyone who is funny is not creative or not kind. Everyone who is not humble or old is rich or not curious. ... | Lucy is rich. | entailment | (![X]:((funny(X)&~tall(X))=>(brave(X)&~generous(X))))&
(![X]:(happy(X)<=>~old(X)))&
(![X]:(~happy(X)=>(generous(X)&calm(X))))&
(![X]:((old(X)|rich(X))=>kind(X)))&
(![X]:(funny(X)=>(~creative(X)|~kind(X))))&
(![X]:((~humble(X)|old(X))=>(rich(X)|~curious(X))))&
((curious(lucy))=>((strong(fred)<~>creative(fred))))&
(![X]:... | rich(lucy) | [
"p2",
"p7",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6593608566451401538931586
% SZS output start Proof for 6593608566451401538931586
3. ! [X0] : (~happy(X0) => (calm(X0) & generous(X0))) [input p2]
8. ! [X0] : ((generous(X0) & humble(X0)) => (happy(X0) & kind(X0))) [input p7]
11. ! [X0] : ((generous(X0) | humble(X0)) => humble(X0)) [input ... | 0 |
If someone is either not quiet or not curious then lucy is either tall or not brave and vice versa. Everyone who is either not brave or curious is not wise or not kind and vice versa. If someone is not happy or not creative then susan is not strong or curious. If susan is not quiet then someone is not old. If someone i... | Paul is not creative. | contradiction | ((?[X]:((~quiet(X)<~>~curious(X))))<=>((tall(lucy)<~>~brave(lucy))))&
(![X]:((~brave(X)<~>curious(X))<=>(~wise(X)|~kind(X))))&
((?[X]:((~happy(X)|~creative(X))))=>((~strong(susan)|curious(susan))))&
((~quiet(susan))=>(?[X]:(~old(X))))&
((?[X]:(~kind(X)))<=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]:((strong(X)<~>old(X))=... | ~creative(paul) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4317571773947154625777733
% SZS output start Proof for 4317571773947154625777733
12. ! [X0] : ((generous(X0) & ~generous(X0)) <=> ~creative(X0)) [input p11]
25. ~creative(paul) [input hypothesis]
61. ! [X0] : (((generous(X0) & ~generous(X0)) | creative(X0)) & (~creative(X0) | (~generous(X... | 0 |
Everyone who is rich or generous is humble or not generous.
If john is either tall or not brave then someone is not calm or quiet and vice versa.
Everyone who is either calm or not creative is funny or not happy.
Everyone who is both not patient and not calm is either calm or funny and vice versa.
Everyone who is humbl... | Lucy is not happy. | contradiction | (![X]:((rich(X)|generous(X))=>(humble(X)|~generous(X))))&
(((tall(john)<~>~brave(john)))<=>(?[X]:((~calm(X)|quiet(X)))))&
(![X]:((calm(X)<~>~creative(X))=>(funny(X)|~happy(X))))&
(![X]:((~patient(X)&~calm(X))<=>(calm(X)<~>funny(X))))&
(![X]:(humble(X)=>(~humble(X)<~>brave(X))))&
(![X]:((~creative(X)<~>creative(X))<=>(~... | ~happy(lucy) | [
"p6",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6989739985647019284834653
% SZS output start Proof for 6989739985647019284834653
7. ! [X0] : ((creative(X0) | rich(X0)) <=> ~creative(X0)) [input p6]
20. creative(lucy) <~> humble(lucy) [input p19]
21. ~happy(lucy) <~> humble(lucy) [input p20]
23. ~happy(lucy) [input hypothesis]
41. ! [X0... | 0 |
Everyone who is creative is not tall or not old. Everyone who is both not humble and not patient is either not calm or not brave and vice versa. If fred is not tall or not rich then someone is happy or creative. Everyone who is not humble or brave is not wise or not curious. If lucy is either not wise or rich then some... | Mary is patient. | contradiction | (![X]:(creative(X)=>(~tall(X)|~old(X))))&
(![X]:((~humble(X)&~patient(X))<=>(~calm(X)<~>~brave(X))))&
(((~tall(fred)|~rich(fred)))=>(?[X]:((happy(X)|creative(X)))))&
(![X]:((~humble(X)|brave(X))=>(~wise(X)|~curious(X))))&
(((~wise(lucy)<~>rich(lucy)))<=>(?[X]:((~happy(X)<~>old(X)))))&
(![X]:((~patient(X)&~creative(X))<... | patient(mary) | [
"p1",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1257516697618187417985389
% SZS output start Proof for 1257516697618187417985389
2. ! [X0] : ((~patient(X0) & ~humble(X0)) <=> (~calm(X0) <~> ~brave(X0))) [input p1]
10. ! [X0] : ((calm(X0) & ~tall(X0)) <=> (~patient(X0) <~> patient(X0))) [input p9]
14. ! [X0] : (~tall(X0) => (~brave(X0) ... | 0 |
Everyone who is old or wise is kind or brave. If someone is either not rich or funny then fred is either creative or humble. Everyone who is quiet is either not rich or not kind. Everyone who is not funny is both patient and not humble and vice versa. Everyone who is both not old and kind is both not rich and not humbl... | Paul is not curious. | contradiction | (![X]:((old(X)|wise(X))=>(kind(X)|brave(X))))&
((?[X]:((~rich(X)<~>funny(X))))=>((creative(fred)<~>humble(fred))))&
(![X]:(quiet(X)=>(~rich(X)<~>~kind(X))))&
(![X]:(~funny(X)<=>(patient(X)&~humble(X))))&
(![X]:((~old(X)&kind(X))=>(~rich(X)&~humble(X))))&
(![X]:((~rich(X)&~quiet(X))<=>(~humble(X)&curious(X))))&
(![X]:((... | ~curious(paul) | [
"p2",
"p4",
"p5",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3445888039020798351306574
% SZS output start Proof for 3445888039020798351306574
3. ! [X0] : (quiet(X0) => (~rich(X0) <~> ~kind(X0))) [input p2]
5. ! [X0] : ((kind(X0) & ~old(X0)) => (~humble(X0) & ~rich(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> (curious(X0) & ~humble(X0)... | 0 |
If susan is not rich then someone is both kind and patient and vice versa.
Everyone who is not happy or not rich is either not patient or patient.
Everyone who is both not calm and generous is not funny and vice versa.
Everyone who is either calm or not happy is calm and vice versa.
Everyone who is not calm is both not... | Fred is happy. | entailment | ((~rich(susan))<=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((~happy(X)|~rich(X))=>(~patient(X)<~>patient(X))))&
(![X]:((~calm(X)&generous(X))<=>~funny(X)))&
(![X]:((calm(X)<~>~happy(X))<=>calm(X)))&
(![X]:(~calm(X)=>(~calm(X)&~generous(X))))&
(((~humble(fred)&~kind(fred)))<=>(?[X]:((rich(X)&patient(X)))))&
(![X]:((~tall(X... | happy(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2301323679299622824942429
% SZS output start Proof for 2301323679299622824942429
4. ! [X0] : ((calm(X0) <~> ~happy(X0)) <=> calm(X0)) [input p3]
25. ~happy(fred) [input hypothesis]
43. ! [X0] : ((((happy(X0) | ~calm(X0)) & (~happy(X0) | calm(X0))) | ~calm(X0)) & (calm(X0) | ((calm(X0) | h... | 0 |
If someone is not happy or not brave then susan is both calm and not rich.
If someone is either not funny or funny then paul is either not calm or not tall and vice versa.
If someone is both generous and not generous then someone is kind and vice versa.
Everyone who is not funny is not calm or not generous and vice ver... | John is not patient. | neutral | ((?[X]:((~happy(X)|~brave(X))))=>((calm(susan)&~rich(susan))))&
((?[X]:((~funny(X)<~>funny(X))))<=>((~calm(paul)<~>~tall(paul))))&
((?[X]:((generous(X)&~generous(X))))<=>(?[X]:(kind(X))))&
(![X]:(~funny(X)<=>(~calm(X)|~generous(X))))&
(((patient(alice)&~generous(alice)))=>(?[X]:(wise(X))))&
((tall(susan))<=>(?[X]:((~br... | ~patient(john) | [] | null | 0 |
Everyone who is either not kind or not wise is wise.
Everyone who is not kind or not patient is either not curious or not strong and vice versa.
If someone is not generous or not kind then paul is both not curious and calm.
If alice is old or not old then someone is not calm and vice versa.
Everyone who is both creativ... | John is not curious. | entailment | (![X]:((~kind(X)<~>~wise(X))=>wise(X)))&
(![X]:((~kind(X)|~patient(X))<=>(~curious(X)<~>~strong(X))))&
((?[X]:((~generous(X)|~kind(X))))=>((~curious(paul)&calm(paul))))&
(((old(alice)|~old(alice)))<=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&~brave(X))=>~quiet(X)))&
(![X]:(~brave(X)=>~kind(X)))&
((?[X]:((kind(X)|rich(X))... | ~curious(john) | [
"p1",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6946680377384876232123852
% SZS output start Proof for 6946680377384876232123852
2. ! [X0] : ((~patient(X0) | ~kind(X0)) <=> (~curious(X0) <~> ~strong(X0))) [input p1]
7. ? [X0] : (rich(X0) | kind(X0)) <=> ? [X0] : (calm(X0) & ~calm(X0)) [input p6]
11. ! [X0] : ((tall(X0) & ~curious(X0)) ... | 0 |
Everyone who is creative or quiet is brave and vice versa.
If someone is curious or not strong then alice is both not curious and curious.
Everyone who is either not wise or strong is patient.
If someone is humble or not curious then susan is both not patient and not kind and vice versa.
If someone is both not quiet an... | John is not brave. | contradiction | (![X]:((creative(X)|quiet(X))<=>brave(X)))&
((?[X]:((curious(X)|~strong(X))))=>((~curious(alice)&curious(alice))))&
(![X]:((~wise(X)<~>strong(X))=>patient(X)))&
((?[X]:((humble(X)|~curious(X))))<=>((~patient(susan)&~kind(susan))))&
((?[X]:((~quiet(X)&~generous(X))))<=>((~curious(fred)|~kind(fred))))&
((brave(alice))=>(... | ~brave(john) | [
"p0",
"p1",
"p6",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 900829509325603999436534
% SZS output start Proof for 900829509325603999436534
1. ! [X0] : ((quiet(X0) | creative(X0)) <=> brave(X0)) [input p0]
2. ? [X0] : (~strong(X0) | curious(X0)) => (curious(alice) & ~curious(alice)) [input p1]
7. ! [X0] : ((brave(X0) & creative(X0)) <=> ~curious(X0... | 0 |
Everyone who is both generous and funny is humble. If lucy is brave then someone is strong or not old. Everyone who is brave is not brave or not funny and vice versa. Everyone who is wise is either patient or not patient and vice versa. If paul is both not brave and wise then john is either patient or not funny and vic... | John is quiet. | entailment | (![X]:((generous(X)&funny(X))=>humble(X)))&
((brave(lucy))=>(?[X]:((strong(X)|~old(X)))))&
(![X]:(brave(X)<=>(~brave(X)|~funny(X))))&
(![X]:(wise(X)<=>(patient(X)<~>~patient(X))))&
(((~brave(paul)&wise(paul)))<=>((patient(john)<~>~funny(john))))&
((?[X]:(funny(X)))=>((~rich(paul)|~tall(paul))))&
((?[X]:((happy(X)<~>cre... | quiet(john) | [
"p2",
"p4",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5138028626365809505543676
% SZS output start Proof for 5138028626365809505543676
3. ! [X0] : (brave(X0) <=> (~funny(X0) | ~brave(X0))) [input p2]
5. (wise(paul) & ~brave(paul)) <=> (patient(john) <~> ~funny(john)) [input p4]
12. ! [X0] : ((funny(X0) <~> calm(X0)) => (funny(X0) | quiet(X0)... | 0 |
If lucy is either kind or rich then fred is happy or brave.
If paul is brave then someone is both calm and patient and vice versa.
Everyone who is not tall is not kind and vice versa.
If someone is either not curious or not strong then john is either not happy or wise.
Everyone who is not happy or kind is both not rich... | John is old. | neutral | (((kind(lucy)<~>rich(lucy)))=>((happy(fred)|brave(fred))))&
((brave(paul))<=>(?[X]:((calm(X)&patient(X)))))&
(![X]:(~tall(X)<=>~kind(X)))&
((?[X]:((~curious(X)<~>~strong(X))))=>((~happy(john)<~>wise(john))))&
(![X]:((~happy(X)|kind(X))<=>(~rich(X)&happy(X))))&
(((~tall(susan)|~old(susan)))=>(?[X]:((~creative(X)|old(X))... | old(john) | [] | null | 0 |
If fred is not old then paul is either calm or not tall. Everyone who is not creative or not old is either funny or not old and vice versa. Everyone who is both not curious and not funny is both creative and not quiet. If john is either not tall or rich then alice is not rich and vice versa. Everyone who is old is not ... | Fred is creative. | contradiction | ((~old(fred))=>((calm(paul)<~>~tall(paul))))&
(![X]:((~creative(X)|~old(X))<=>(funny(X)<~>~old(X))))&
(![X]:((~curious(X)&~funny(X))=>(creative(X)&~quiet(X))))&
(((~tall(john)<~>rich(john)))<=>(~rich(alice)))&
(![X]:(old(X)=>~tall(X)))&
(![X]:((wise(X)|quiet(X))=>~rich(X)))&
(![X]:((kind(X)<~>generous(X))=>(tall(X)&cur... | creative(fred) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1002082547971486208458622
% SZS output start Proof for 1002082547971486208458622
2. ! [X0] : ((~old(X0) | ~creative(X0)) <=> (funny(X0) <~> ~old(X0))) [input p1]
13. ! [X0] : ((~funny(X0) | kind(X0)) => (tall(X0) & funny(X0))) [input p12]
23. creative(fred) [input hypothesis]
37. ! [X0] :... | 0 |
If someone is happy or wise then someone is not old or not kind and vice versa. Everyone who is either generous or funny is humble or not curious. Everyone who is not curious or creative is patient or not generous and vice versa. If susan is not tall then paul is both happy and not funny. If someone is generous then al... | Fred is rich. | neutral | ((?[X]:((happy(X)|wise(X))))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((generous(X)<~>funny(X))=>(humble(X)|~curious(X))))&
(![X]:((~curious(X)|creative(X))<=>(patient(X)|~generous(X))))&
((~tall(susan))=>((happy(paul)&~funny(paul))))&
((?[X]:(generous(X)))<=>(creative(alice)))&
(![X]:((~curious(X)<~>rich(X))<=>(tall(X)<~... | rich(fred) | [] | null | 0 |
If someone is not quiet then someone is not creative.
Everyone who is either calm or not patient is either wise or not rich and vice versa.
If alice is not rich or wise then someone is both old and not tall and vice versa.
If fred is both not wise and curious then fred is not humble or not strong and vice versa.
Everyo... | Fred is not rich. | neutral | ((?[X]:(~quiet(X)))=>(?[X]:(~creative(X))))&
(![X]:((calm(X)<~>~patient(X))<=>(wise(X)<~>~rich(X))))&
(((~rich(alice)|wise(alice)))<=>(?[X]:((old(X)&~tall(X)))))&
(((~wise(fred)&curious(fred)))<=>((~humble(fred)|~strong(fred))))&
(![X]:(creative(X)=>~funny(X)))&
(![X]:((quiet(X)&brave(X))=>(~quiet(X)<~>wise(X))))&
((?[... | ~rich(fred) | [] | null | 0 |
Everyone who is not happy is both wise and not happy and vice versa. If paul is either kind or wise then someone is both generous and not humble. Everyone who is both not rich and not quiet is either not brave or creative and vice versa. If someone is quiet then lucy is both happy and not happy and vice versa. Everyone... | John is rich. | entailment | (![X]:(~happy(X)<=>(wise(X)&~happy(X))))&
(((kind(paul)<~>wise(paul)))=>(?[X]:((generous(X)&~humble(X)))))&
(![X]:((~rich(X)&~quiet(X))<=>(~brave(X)<~>creative(X))))&
((?[X]:(quiet(X)))<=>((happy(lucy)&~happy(lucy))))&
(![X]:((~tall(X)|~wise(X))=>(funny(X)&old(X))))&
(((~quiet(fred)|~kind(fred)))<=>((~wise(paul)<~>~cur... | rich(john) | [
"p3",
"p4",
"p6",
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1829008475472365680890363
% SZS output start Proof for 1829008475472365680890363
4. ? [X0] : quiet(X0) <=> (~happy(lucy) & happy(lucy)) [input p3]
5. ! [X0] : ((~wise(X0) | ~tall(X0)) => (old(X0) & funny(X0))) [input p4]
7. ! [X0] : ((wise(X0) & generous(X0)) <=> (funny(X0) | ~tall(X0))) ... | 0 |
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is either not quiet or rich.
Everyone who is not happy or not quiet is both wise and not curious.
Everyone who is both not patient and not funny is both not curious and gen... | Susan is wise. | entailment | (![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((happy(X... | wise(susan) | [
"p0",
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6855980118593439120786071
% SZS output start Proof for 6855980118593439120786071
1. ! [X0] : (~kind(X0) => (wise(X0) & creative(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & wise(X0))) [input p3]
12. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (wise(X0) | ~cre... | 0 |
Everyone who is both tall and not calm is both not creative and calm and vice versa.
Everyone who is both generous and not wise is either quiet or curious and vice versa.
If someone is either not old or not creative then fred is generous or patient and vice versa.
Everyone who is not humble or not wise is not humble or... | Susan is strong. | contradiction | (![X]:((tall(X)&~calm(X))<=>(~creative(X)&calm(X))))&
(![X]:((generous(X)&~wise(X))<=>(quiet(X)<~>curious(X))))&
((?[X]:((~old(X)<~>~creative(X))))<=>((generous(fred)|patient(fred))))&
(![X]:((~humble(X)|~wise(X))<=>(~humble(X)|~kind(X))))&
(![X]:(~wise(X)<=>~brave(X)))&
(![X]:((~brave(X)|kind(X))<=>~humble(X)))&
(![X]... | strong(susan) | [
"p0",
"p1",
"p8",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 966533885676645216143409
% SZS output start Proof for 966533885676645216143409
1. ! [X0] : ((~calm(X0) & tall(X0)) <=> (calm(X0) & ~creative(X0))) [input p0]
2. ! [X0] : ((~wise(X0) & generous(X0)) <=> (quiet(X0) <~> curious(X0))) [input p1]
9. ! [X0] : (strong(X0) <=> ~creative(X0)) [inp... | 0 |
Everyone who is generous is either not old or not patient. Everyone who is both tall and patient is both not generous and creative and vice versa. Everyone who is either humble or not funny is not funny. Everyone who is both happy and not brave is not calm. Everyone who is either curious or not rich is either not rich ... | Alice is not strong. | contradiction | (![X]:(generous(X)=>(~old(X)<~>~patient(X))))&
(![X]:((tall(X)&patient(X))<=>(~generous(X)&creative(X))))&
(![X]:((humble(X)<~>~funny(X))=>~funny(X)))&
(![X]:((happy(X)&~brave(X))=>~calm(X)))&
(![X]:((curious(X)<~>~rich(X))=>(~rich(X)<~>calm(X))))&
(((calm(fred)&~quiet(fred)))<=>(?[X]:((calm(X)&~generous(X)))))&
(![X]:... | ~strong(alice) | [
"p7",
"p8",
"p11",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6018296552927845578352735
% SZS output start Proof for 6018296552927845578352735
8. ~curious(alice) <=> (~funny(mary) | creative(mary)) [input p7]
9. ! [X0] : ((~kind(X0) | ~brave(X0)) <=> (~wise(X0) & curious(X0))) [input p8]
12. ! [X0] : ((~creative(X0) | ~tall(X0)) <=> (rich(X0) & curi... | 0 |
If someone is either tall or happy then lucy is both not creative and not patient and vice versa.
Everyone who is quiet or curious is either not kind or not curious and vice versa.
Everyone who is curious or old is both calm and patient.
Everyone who is either not rich or brave is tall and vice versa.
Everyone who is n... | Fred is curious. | neutral | ((?[X]:((tall(X)<~>happy(X))))<=>((~creative(lucy)&~patient(lucy))))&
(![X]:((quiet(X)|curious(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((curious(X)|old(X))=>(calm(X)&patient(X))))&
(![X]:((~rich(X)<~>brave(X))<=>tall(X)))&
(![X]:(~wise(X)<=>(rich(X)&~generous(X))))&
(![X]:((old(X)<~>~old(X))=>rich(X)))&
((?[X]:(quiet(X... | curious(fred) | [] | null | 0 |
Everyone who is not quiet is not kind or quiet and vice versa.
Everyone who is old or happy is either not patient or quiet.
Everyone who is either not wise or wise is both funny and not patient.
Everyone who is either quiet or tall is rich or quiet.
If mary is both not humble and calm then someone is not calm or patien... | Susan is curious. | entailment | (![X]:(~quiet(X)<=>(~kind(X)|quiet(X))))&
(![X]:((old(X)|happy(X))=>(~patient(X)<~>quiet(X))))&
(![X]:((~wise(X)<~>wise(X))=>(funny(X)&~patient(X))))&
(![X]:((quiet(X)<~>tall(X))=>(rich(X)|quiet(X))))&
(((~humble(mary)&calm(mary)))=>(?[X]:((~calm(X)|patient(X)))))&
(((~patient(lucy)<~>~generous(lucy)))<=>((~kind(lucy)&... | curious(susan) | [
"p0",
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 485675619449013103938290
% SZS output start Proof for 485675619449013103938290
1. ! [X0] : (~quiet(X0) <=> (quiet(X0) | ~kind(X0))) [input p0]
3. ! [X0] : ((~wise(X0) <~> wise(X0)) => (~patient(X0) & funny(X0))) [input p2]
7. ! [X0] : ((funny(X0) <~> ~generous(X0)) <=> (old(X0) | ~quiet(X... | 0 |
If someone is both brave and curious then susan is not humble or curious and vice versa. Everyone who is generous is generous or not kind and vice versa. If someone is both kind and quiet then someone is strong or not old. Everyone who is both old and not calm is not rich or not funny and vice versa. Everyone who is bo... | John is quiet. | neutral | ((?[X]:((brave(X)&curious(X))))<=>((~humble(susan)|curious(susan))))&
(![X]:(generous(X)<=>(generous(X)|~kind(X))))&
((?[X]:((kind(X)&quiet(X))))=>(?[X]:((strong(X)|~old(X)))))&
(![X]:((old(X)&~calm(X))<=>(~rich(X)|~funny(X))))&
(![X]:((rich(X)&~wise(X))=>(curious(X)&quiet(X))))&
(((curious(john)&old(john)))<=>(rich(su... | quiet(john) | [] | null | 0 |
If fred is not funny then fred is both not wise and happy and vice versa.
If someone is both not wise and brave then someone is either strong or not curious and vice versa.
If someone is either not brave or calm then someone is funny or strong and vice versa.
Everyone who is not kind is not happy and vice versa.
Everyo... | Fred is not brave. | neutral | ((~funny(fred))<=>((~wise(fred)&happy(fred))))&
((?[X]:((~wise(X)&brave(X))))<=>(?[X]:((strong(X)<~>~curious(X)))))&
((?[X]:((~brave(X)<~>calm(X))))<=>(?[X]:((funny(X)|strong(X)))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~wise(X)<~>~old(X))=>(happy(X)|kind(X))))&
(![X]:(creative(X)=>(~creative(X)&~happy(X))))&
(![X]:(... | ~brave(fred) | [] | null | 0 |
If alice is not brave then someone is either not curious or not tall and vice versa. Everyone who is either patient or not quiet is humble. Everyone who is either tall or not curious is both wise and not kind. Everyone who is either patient or not tall is both not humble and quiet and vice versa. If someone is tall the... | Alice is not calm. | entailment | ((~brave(alice))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
(![X]:((patient(X)<~>~quiet(X))=>humble(X)))&
(![X]:((tall(X)<~>~curious(X))=>(wise(X)&~kind(X))))&
(![X]:((patient(X)<~>~tall(X))<=>(~humble(X)&quiet(X))))&
((?[X]:(tall(X)))=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((~brave(X)|~humble(X))=>tall(X)))&
(![X]:((~... | ~calm(alice) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p6",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8389717837900117262211907
% SZS output start Proof for 8389717837900117262211907
1. ~brave(alice) <=> ? [X0] : (~curious(X0) <~> ~tall(X0)) [input p0]
2. ! [X0] : ((patient(X0) <~> ~quiet(X0)) => humble(X0)) [input p1]
3. ! [X0] : ((tall(X0) <~> ~curious(X0)) => (~kind(X0) & wise(X0))) [i... | 0 |
Everyone who is not humble or not funny is both old and not rich and vice versa.
Everyone who is both not wise and not creative is either not creative or calm.
Everyone who is either not old or not funny is both brave and creative and vice versa.
Everyone who is both not calm and not creative is either funny or not cre... | Alice is calm. | entailment | (![X]:((~humble(X)|~funny(X))<=>(old(X)&~rich(X))))&
(![X]:((~wise(X)&~creative(X))=>(~creative(X)<~>calm(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(brave(X)&creative(X))))&
(![X]:((~calm(X)&~creative(X))=>(funny(X)<~>~creative(X))))&
(![X]:((~rich(X)<~>~brave(X))=>(~tall(X)<~>brave(X))))&
(((happy(alice)|~brave(alice)))=>... | calm(alice) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3613665255262527330940403
% SZS output start Proof for 3613665255262527330940403
1. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> (~rich(X0) & old(X0))) [input p0]
3. ! [X0] : ((~old(X0) <~> ~funny(X0)) <=> (creative(X0) & brave(X0))) [input p2]
4. ! [X0] : ((~creative(X0) & ~calm(X0)) => (fun... | 0 |
Everyone who is either not creative or humble is either quiet or old and vice versa.
Everyone who is creative is either not kind or brave.
Everyone who is not patient is not funny or creative and vice versa.
If someone is not generous or not strong then fred is creative and vice versa.
If paul is both rich and not quie... | Fred is not funny. | contradiction | (![X]:((~creative(X)<~>humble(X))<=>(quiet(X)<~>old(X))))&
(![X]:(creative(X)=>(~kind(X)<~>brave(X))))&
(![X]:(~patient(X)<=>(~funny(X)|creative(X))))&
((?[X]:((~generous(X)|~strong(X))))<=>(creative(fred)))&
(((rich(paul)&~quiet(paul)))=>(?[X]:(~curious(X))))&
(![X]:(happy(X)<=>(~kind(X)&funny(X))))&
(((~rich(john)&~c... | ~funny(fred) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 53456460907723014268112
% SZS output start Proof for 53456460907723014268112
3. ! [X0] : (~patient(X0) <=> (creative(X0) | ~funny(X0))) [input p2]
6. ! [X0] : (happy(X0) <=> (funny(X0) & ~kind(X0))) [input p5]
10. ! [X0] : (~patient(X0) => (creative(X0) & happy(X0))) [input p9]
25. ~funny... | 0 |
Everyone who is quiet or not curious is not curious or rich and vice versa.
If mary is both not old and not kind then someone is both curious and creative.
Everyone who is wise is either tall or not curious and vice versa.
Everyone who is both not humble and not happy is quiet or curious.
Everyone who is either not wis... | John is wise. | entailment | (![X]:((quiet(X)|~curious(X))<=>(~curious(X)|rich(X))))&
(((~old(mary)&~kind(mary)))=>(?[X]:((curious(X)&creative(X)))))&
(![X]:(wise(X)<=>(tall(X)<~>~curious(X))))&
(![X]:((~humble(X)&~happy(X))=>(quiet(X)|curious(X))))&
(![X]:((~wise(X)<~>~curious(X))<=>(~curious(X)&~generous(X))))&
(![X]:((~wise(X)&kind(X))<=>(patie... | wise(john) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1784985404594462147374338
% SZS output start Proof for 1784985404594462147374338
5. ! [X0] : ((~wise(X0) <~> ~curious(X0)) <=> (~generous(X0) & ~curious(X0))) [input p4]
9. ! [X0] : ((creative(X0) | ~curious(X0)) <=> curious(X0)) [input p8]
21. ~wise(john) [input hypothesis]
37. ! [X0] : ... | 0 |
Everyone who is creative is both happy and not brave and vice versa.
If mary is both not rich and not happy then fred is either curious or not wise and vice versa.
Everyone who is not brave or kind is not brave or brave and vice versa.
Everyone who is funny or not kind is either not strong or curious.
If someone is not... | Mary is not strong. | neutral | (![X]:(creative(X)<=>(happy(X)&~brave(X))))&
(((~rich(mary)&~happy(mary)))<=>((curious(fred)<~>~wise(fred))))&
(![X]:((~brave(X)|kind(X))<=>(~brave(X)|brave(X))))&
(![X]:((funny(X)|~kind(X))=>(~strong(X)<~>curious(X))))&
((?[X]:(~rich(X)))<=>(quiet(lucy)))&
(![X]:(~happy(X)=>(strong(X)&tall(X))))&
(((~happy(mary)&~kind... | ~strong(mary) | [] | null | 0 |
If someone is calm then paul is both not rich and happy and vice versa. Everyone who is not kind is not curious. If someone is either patient or not humble then someone is either humble or not strong. If mary is not calm or creative then john is not brave or not rich. If susan is both funny and not funny then someone i... | Susan is not brave. | entailment | ((?[X]:(calm(X)))<=>((~rich(paul)&happy(paul))))&
(![X]:(~kind(X)=>~curious(X)))&
((?[X]:((patient(X)<~>~humble(X))))=>(?[X]:((humble(X)<~>~strong(X)))))&
(((~calm(mary)|creative(mary)))=>((~brave(john)|~rich(john))))&
(((funny(susan)&~funny(susan)))=>(?[X]:((~curious(X)<~>creative(X)))))&
(![X]:((creative(X)|~creative... | ~brave(susan) | [
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2274080575385163121659892
% SZS output start Proof for 2274080575385163121659892
18. ~brave(susan) <~> ~tall(susan) [input p17]
22. ~brave(susan) | tall(susan) [input p21]
24. brave(susan) [input hypothesis]
65. (tall(susan) | brave(susan)) & (~tall(susan) | ~brave(susan)) [nnf transforma... | 0 |
If someone is not funny or not old then someone is both humble and kind. Everyone who is both not wise and not generous is not kind or curious and vice versa. Everyone who is not curious or not rich is not quiet and vice versa. If someone is both kind and humble then someone is happy or calm. If john is not kind or hap... | Lucy is brave. | contradiction | ((?[X]:((~funny(X)|~old(X))))=>(?[X]:((humble(X)&kind(X)))))&
(![X]:((~wise(X)&~generous(X))<=>(~kind(X)|curious(X))))&
(![X]:((~curious(X)|~rich(X))<=>~quiet(X)))&
((?[X]:((kind(X)&humble(X))))=>(?[X]:((happy(X)|calm(X)))))&
(((~kind(john)|happy(john)))<=>((old(lucy)<~>brave(lucy))))&
(![X]:((wise(X)|~kind(X))<=>(humb... | brave(lucy) | [
"p0",
"p1",
"p4",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1913892476988287494176610
% SZS output start Proof for 1913892476988287494176610
1. ? [X0] : (~old(X0) | ~funny(X0)) => ? [X0] : (kind(X0) & humble(X0)) [input p0]
2. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (curious(X0) | ~kind(X0))) [input p1]
5. (happy(john) | ~kind(john)) <=> (old(lu... | 0 |
If someone is not rich or old then john is rich or not patient.
If mary is not brave or not tall then fred is both strong and not patient and vice versa.
Everyone who is both not calm and not brave is either not humble or kind and vice versa.
Everyone who is either not rich or rich is patient and vice versa.
If john is... | John is not brave. | neutral | ((?[X]:((~rich(X)|old(X))))=>((rich(john)|~patient(john))))&
(((~brave(mary)|~tall(mary)))<=>((strong(fred)&~patient(fred))))&
(![X]:((~calm(X)&~brave(X))<=>(~humble(X)<~>kind(X))))&
(![X]:((~rich(X)<~>rich(X))<=>patient(X)))&
(((kind(john)<~>~kind(john)))=>(?[X]:((wise(X)|~strong(X)))))&
(![X]:((~generous(X)|~tall(X))... | ~brave(john) | [] | null | 0 |
If someone is not kind or not creative then lucy is not rich and vice versa.
If fred is happy then someone is both not curious and kind and vice versa.
Everyone who is both not rich and not wise is not rich or humble and vice versa.
If paul is not curious then john is both wise and rich and vice versa.
If someone is no... | Alice is not wise. | entailment | ((?[X]:((~kind(X)|~creative(X))))<=>(~rich(lucy)))&
((happy(fred))<=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(~rich(X)|humble(X))))&
((~curious(paul))<=>((wise(john)&rich(john))))&
((?[X]:(~patient(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((creative(X)|generous(X))=>(quiet(X)&~calm(X))))&
(![X]:(creative... | ~wise(alice) | [
"p0",
"p2",
"p4",
"p5",
"p7",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5128263792368106003336501
% SZS output start Proof for 5128263792368106003336501
1. ? [X0] : (~creative(X0) | ~kind(X0)) <=> ~rich(lucy) [input p0]
3. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> (humble(X0) | ~rich(X0))) [input p2]
5. ? [X0] : ~patient(X0) <=> ? [X0] : ~quiet(X0) [input p4]
6. ... | 0 |
If someone is tall or calm then john is both brave and kind.
Everyone who is not brave or not patient is funny or quiet and vice versa.
Everyone who is old or not happy is creative or calm.
If someone is either not brave or quiet then mary is both curious and humble and vice versa.
Everyone who is either calm or kind i... | John is not brave. | contradiction | ((?[X]:((tall(X)|calm(X))))=>((brave(john)&kind(john))))&
(![X]:((~brave(X)|~patient(X))<=>(funny(X)|quiet(X))))&
(![X]:((old(X)|~happy(X))=>(creative(X)|calm(X))))&
((?[X]:((~brave(X)<~>quiet(X))))<=>((curious(mary)&humble(mary))))&
(![X]:((calm(X)<~>kind(X))<=>(~generous(X)|~kind(X))))&
(![X]:((~calm(X)|happy(X))<=>(... | ~brave(john) | [
"p0",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 46960072896631037720538
% SZS output start Proof for 46960072896631037720538
1. ? [X0] : (calm(X0) | tall(X0)) => (kind(john) & brave(john)) [input p0]
19. ~tall(fred) <~> ~calm(fred) [input p18]
25. ~brave(john) [input hypothesis]
26. (kind(john) & brave(john)) | ! [X0] : (~calm(X0) & ~t... | 0 |
If john is not humble then alice is either creative or curious.
If someone is either quiet or generous then john is patient and vice versa.
If susan is not creative then susan is both generous and not funny.
Everyone who is either not creative or brave is not patient or strong and vice versa.
If lucy is tall or not cre... | Lucy is not brave. | contradiction | ((~humble(john))=>((creative(alice)<~>curious(alice))))&
((?[X]:((quiet(X)<~>generous(X))))<=>(patient(john)))&
((~creative(susan))=>((generous(susan)&~funny(susan))))&
(![X]:((~creative(X)<~>brave(X))<=>(~patient(X)|strong(X))))&
(((tall(lucy)|~creative(lucy)))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)|~old(X))<=>(~creati... | ~brave(lucy) | [
"p1",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1292927621458618134749029
% SZS output start Proof for 1292927621458618134749029
2. ? [X0] : (quiet(X0) <~> generous(X0)) <=> patient(john) [input p1]
11. ! [X0] : ((~humble(X0) & brave(X0)) <=> (creative(X0) | ~happy(X0))) [input p10]
12. ! [X0] : ((quiet(X0) | ~patient(X0)) <=> (~quiet(... | 0 |
If someone is both curious and not strong then someone is either patient or not creative. Everyone who is not old is not tall or not humble. If someone is rich then someone is not funny. If paul is both curious and not quiet then someone is not wise or rich and vice versa. Everyone who is both not brave and tall is eit... | John is wise. | entailment | ((?[X]:((curious(X)&~strong(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:(~old(X)=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious(paul)&~quiet(paul)))<=>(?[X]:((~wise(X)|rich(X)))))&
(![X]:((~brave(X)&tall(X))<=>(~patient(X)<~>strong(X))))&
((?[X]:((calm(X)&~brave(X))))<=>(?[X]:((cal... | wise(john) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 295991628676915573719333
% SZS output start Proof for 295991628676915573719333
16. rich(john) & wise(john) [input p15]
24. ~wise(john) [input hypothesis]
131. wise(john) [cnf transformation 16]
143. ~wise(john) [cnf transformation 24]
316. $false [subsumption resolution 143,131]
% SZS out... | 0 |
Everyone who is not brave or not happy is wise or not old.
If someone is humble or quiet then someone is not patient or tall.
If john is both humble and generous then lucy is either tall or creative.
If lucy is not happy then someone is rich.
Everyone who is generous or not rich is either funny or not humble.
Everyone ... | John is not strong. | contradiction | (![X]:((~brave(X)|~happy(X))=>(wise(X)|~old(X))))&
((?[X]:((humble(X)|quiet(X))))=>(?[X]:((~patient(X)|tall(X)))))&
(((humble(john)&generous(john)))=>((tall(lucy)<~>creative(lucy))))&
((~happy(lucy))=>(?[X]:(rich(X))))&
(![X]:((generous(X)|~rich(X))=>(funny(X)<~>~humble(X))))&
(![X]:(creative(X)<=>(~creative(X)<~>~calm... | ~strong(john) | [
"p5",
"p10",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 788850356686603740272034
% SZS output start Proof for 788850356686603740272034
6. ! [X0] : (creative(X0) <=> (~creative(X0) <~> ~calm(X0))) [input p5]
11. ! [X0] : (strong(X0) <=> (kind(X0) | ~curious(X0))) [input p10]
16. ! [X0] : ((wise(X0) | ~calm(X0)) => (~generous(X0) <~> kind(X0))) ... | 0 |
If alice is either not quiet or not brave then someone is not creative or old and vice versa. If fred is either not funny or not strong then fred is funny and vice versa. Everyone who is both not patient and not tall is either not funny or not strong and vice versa. If mary is both kind and not calm then mary is not ge... | Fred is not patient. | contradiction | (((~quiet(alice)<~>~brave(alice)))<=>(?[X]:((~creative(X)|old(X)))))&
(((~funny(fred)<~>~strong(fred)))<=>(funny(fred)))&
(![X]:((~patient(X)&~tall(X))<=>(~funny(X)<~>~strong(X))))&
(((kind(mary)&~calm(mary)))=>((~generous(mary)|old(mary))))&
((?[X]:((~happy(X)&funny(X))))<=>(?[X]:((wise(X)<~>rich(X)))))&
(![X]:((creat... | ~patient(fred) | [
"p1",
"p2",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3942543012736802108879800
% SZS output start Proof for 3942543012736802108879800
2. (~funny(fred) <~> ~strong(fred)) <=> funny(fred) [input p1]
3. ! [X0] : ((~tall(X0) & ~patient(X0)) <=> (~funny(X0) <~> ~strong(X0))) [input p2]
20. ~tall(fred) <~> funny(fred) [input p19]
25. ~patient(fre... | 0 |
If fred is not calm then someone is funny or not strong and vice versa.
Everyone who is both rich and wise is not humble and vice versa.
Everyone who is curious is both patient and creative and vice versa.
If john is tall or not curious then someone is both not patient and quiet.
If someone is either not patient or cal... | Lucy is old. | entailment | ((~calm(fred))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((rich(X)&wise(X))<=>~humble(X)))&
(![X]:(curious(X)<=>(patient(X)&creative(X))))&
(((tall(john)|~curious(john)))=>(?[X]:((~patient(X)&quiet(X)))))&
((?[X]:((~patient(X)<~>calm(X))))<=>((~funny(alice)<~>~happy(alice))))&
(![X]:((rich(X)|humble(X))<=>old(X)))&
(![X... | old(lucy) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5314278634896285201258193
% SZS output start Proof for 5314278634896285201258193
2. ! [X0] : ((wise(X0) & rich(X0)) <=> ~humble(X0)) [input p1]
6. ! [X0] : ((humble(X0) | rich(X0)) <=> old(X0)) [input p5]
23. ~old(lucy) [input hypothesis]
39. ! [X0] : (((wise(X0) & rich(X0)) | humble(X0))... | 0 |
Everyone who is not calm or calm is both rich and old.
If alice is not humble or not patient then lucy is curious or not brave and vice versa.
If someone is both old and not patient then fred is tall or not quiet.
Everyone who is humble is tall.
Everyone who is strong is both rich and tall.
Everyone who is not curious ... | John is not generous. | contradiction | (![X]:((~calm(X)|calm(X))=>(rich(X)&old(X))))&
(((~humble(alice)|~patient(alice)))<=>((curious(lucy)|~brave(lucy))))&
((?[X]:((old(X)&~patient(X))))=>((tall(fred)|~quiet(fred))))&
(![X]:(humble(X)=>tall(X)))&
(![X]:(strong(X)=>(rich(X)&tall(X))))&
(![X]:(~curious(X)=>(generous(X)<~>~happy(X))))&
(((kind(john)<~>happy(j... | ~generous(john) | [
"p0",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8609939579477410218736174
% SZS output start Proof for 8609939579477410218736174
1. ! [X0] : ((calm(X0) | ~calm(X0)) => (old(X0) & rich(X0))) [input p0]
15. ! [X0] : ((old(X0) & ~generous(X0)) => (~quiet(X0) & ~old(X0))) [input p14]
23. ~generous(john) [input hypothesis]
24. ! [X0] : ((ca... | 0 |
If someone is not kind or humble then someone is both not wise and not quiet and vice versa.
Everyone who is quiet is not wise and vice versa.
Everyone who is quiet or creative is not strong and vice versa.
If someone is not funny then someone is either not patient or calm.
If someone is either not curious or patient t... | Alice is calm. | entailment | ((?[X]:((~kind(X)|humble(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:(quiet(X)<=>~wise(X)))&
(![X]:((quiet(X)|creative(X))<=>~strong(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~patient(X)<~>calm(X)))))&
((?[X]:((~curious(X)<~>patient(X))))=>(?[X]:(~quiet(X))))&
((~funny(lucy))<=>(?[X]:(quiet(X))))&
((?[X]:((~calm(X)|rich(X))... | calm(alice) | [
"p0",
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5174620105366929542392618
% SZS output start Proof for 5174620105366929542392618
1. ? [X0] : (humble(X0) | ~kind(X0)) <=> ? [X0] : (~quiet(X0) & ~wise(X0)) [input p0]
2. ! [X0] : (quiet(X0) <=> ~wise(X0)) [input p1]
10. ! [X0] : (~humble(X0) => (~creative(X0) & calm(X0))) [input p9]
22. ~... | 0 |
Everyone who is quiet is either quiet or not kind.
Everyone who is kind or not kind is both calm and not patient and vice versa.
If john is both not patient and not creative then fred is wise.
Everyone who is not humble is not creative or curious.
If john is not happy then someone is either not wise or not old and vice... | Mary is not rich. | neutral | (![X]:(quiet(X)=>(quiet(X)<~>~kind(X))))&
(![X]:((kind(X)|~kind(X))<=>(calm(X)&~patient(X))))&
(((~patient(john)&~creative(john)))=>(wise(fred)))&
(![X]:(~humble(X)=>(~creative(X)|curious(X))))&
((~happy(john))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((rich(X)<~>happy(X))=>(happy(X)&funny(X))))&
(![X]:((creative(X)|hap... | ~rich(mary) | [] | null | 0 |
If someone is not tall or not generous then lucy is not creative. Everyone who is both funny and not wise is not rich. If john is not strong or brave then mary is either tall or not patient. If lucy is both not patient and not rich then john is either not strong or humble. Everyone who is either funny or not humble is ... | John is strong. | neutral | ((?[X]:((~tall(X)|~generous(X))))=>(~creative(lucy)))&
(![X]:((funny(X)&~wise(X))=>~rich(X)))&
(((~strong(john)|brave(john)))=>((tall(mary)<~>~patient(mary))))&
(((~patient(lucy)&~rich(lucy)))=>((~strong(john)<~>humble(john))))&
(![X]:((funny(X)<~>~humble(X))<=>(~patient(X)&~tall(X))))&
(((brave(john)&~quiet(john)))=>(... | strong(john) | [] | null | 0 |
Everyone who is either not quiet or not tall is either not brave or not calm.
Everyone who is either not creative or generous is not patient and vice versa.
If someone is not creative or not happy then alice is both not strong and not brave.
If someone is both not old and not creative then susan is both not wise and cr... | Fred is not creative. | neutral | (![X]:((~quiet(X)<~>~tall(X))=>(~brave(X)<~>~calm(X))))&
(![X]:((~creative(X)<~>generous(X))<=>~patient(X)))&
((?[X]:((~creative(X)|~happy(X))))=>((~strong(alice)&~brave(alice))))&
((?[X]:((~old(X)&~creative(X))))<=>((~wise(susan)&creative(susan))))&
(![X]:((~kind(X)&~humble(X))=>~rich(X)))&
(![X]:(~generous(X)<=>(kind... | ~creative(fred) | [] | null | 0 |
Everyone who is not rich is brave and vice versa. If alice is both funny and not happy then someone is both wise and not creative and vice versa. Everyone who is both wise and funny is not calm and vice versa. If someone is funny then fred is either not funny or rich and vice versa. Everyone who is not strong or not qu... | Fred is calm. | entailment | (![X]:(~rich(X)<=>brave(X)))&
(((funny(alice)&~happy(alice)))<=>(?[X]:((wise(X)&~creative(X)))))&
(![X]:((wise(X)&funny(X))<=>~calm(X)))&
((?[X]:(funny(X)))<=>((~funny(fred)<~>rich(fred))))&
(![X]:((~strong(X)|~quiet(X))=>(brave(X)&patient(X))))&
(((patient(john)<~>~curious(john)))<=>(?[X]:((~strong(X)&rich(X)))))&
(![... | calm(fred) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5703907814927020305639455
% SZS output start Proof for 5703907814927020305639455
1. ! [X0] : (~rich(X0) <=> brave(X0)) [input p0]
3. ! [X0] : ((funny(X0) & wise(X0)) <=> ~calm(X0)) [input p2]
4. ? [X0] : funny(X0) <=> (~funny(fred) <~> rich(fred)) [input p3]
5. ! [X0] : ((~quiet(X0) | ~st... | 0 |
Everyone who is not patient or strong is not brave or not quiet and vice versa.
Everyone who is not generous or not kind is wise.
If lucy is not old then someone is both not rich and not funny and vice versa.
Everyone who is not quiet is both not happy and calm and vice versa.
Everyone who is both humble and not kind i... | Lucy is brave. | contradiction | (![X]:((~patient(X)|strong(X))<=>(~brave(X)|~quiet(X))))&
(![X]:((~generous(X)|~kind(X))=>wise(X)))&
((~old(lucy))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:(~quiet(X)<=>(~happy(X)&calm(X))))&
(![X]:((humble(X)&~kind(X))<=>(~funny(X)|calm(X))))&
((?[X]:((~humble(X)&rich(X))))=>(?[X]:((~humble(X)|happy(X)))))&
(![X]:((cur... | brave(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7567680943351940844717662
% SZS output start Proof for 7567680943351940844717662
10. ! [X0] : (brave(X0) => ~brave(X0)) [input p9]
24. brave(lucy) [input hypothesis]
30. ! [X0] : (~brave(X0) | ~brave(X0)) [ennf transformation 10]
108. ~brave(X0) | ~brave(X0) [cnf transformation 30]
141. b... | 0 |
Everyone who is either quiet or patient is either quiet or not strong and vice versa. If someone is both brave and not humble then alice is both not strong and not happy and vice versa. Everyone who is either curious or not tall is not brave and vice versa. Everyone who is tall is either not kind or kind. Everyone who ... | Lucy is not funny. | entailment | (![X]:((quiet(X)<~>patient(X))<=>(quiet(X)<~>~strong(X))))&
((?[X]:((brave(X)&~humble(X))))<=>((~strong(alice)&~happy(alice))))&
(![X]:((curious(X)<~>~tall(X))<=>~brave(X)))&
(![X]:(tall(X)=>(~kind(X)<~>kind(X))))&
(![X]:((happy(X)|~funny(X))<=>(~tall(X)|~humble(X))))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(((curious... | ~funny(lucy) | [
"p0",
"p4",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 332310303171918884754350
% SZS output start Proof for 332310303171918884754350
1. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
5. ! [X0] : ((~funny(X0) | happy(X0)) <=> (~humble(X0) | ~tall(X0))) [input p4]
8. ! [X0] : ((tall(X0) & ~brave(X0)) <=> (~pa... | 0 |
Everyone who is either not old or wise is not curious or not humble and vice versa.
Everyone who is quiet or patient is not creative.
If paul is not generous or not creative then someone is both not happy and creative and vice versa.
If lucy is either funny or patient then paul is either quiet or not funny and vice ver... | Paul is not patient. | entailment | (![X]:((~old(X)<~>wise(X))<=>(~curious(X)|~humble(X))))&
(![X]:((quiet(X)|patient(X))=>~creative(X)))&
(((~generous(paul)|~creative(paul)))<=>(?[X]:((~happy(X)&creative(X)))))&
(((funny(lucy)<~>patient(lucy)))<=>((quiet(paul)<~>~funny(paul))))&
((?[X]:((~rich(X)<~>~happy(X))))=>(?[X]:((tall(X)&~brave(X)))))&
(![X]:((st... | ~patient(paul) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8734262235488547722450340
% SZS output start Proof for 8734262235488547722450340
14. ! [X0] : (~wise(X0) <=> (quiet(X0) | patient(X0))) [input p13]
21. wise(paul) & happy(paul) [input p20]
24. patient(paul) [input hypothesis]
71. ! [X0] : ((~wise(X0) | (~quiet(X0) & ~patient(X0))) & ((qui... | 0 |
Everyone who is not brave or not creative is both generous and kind and vice versa. Everyone who is either quiet or old is both not quiet and not calm and vice versa. Everyone who is quiet or not old is wise and vice versa. Everyone who is calm or not tall is happy. If someone is either not brave or not calm then susan... | Mary is wise. | entailment | (![X]:((~brave(X)|~creative(X))<=>(generous(X)&kind(X))))&
(![X]:((quiet(X)<~>old(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((quiet(X)|~old(X))<=>wise(X)))&
(![X]:((calm(X)|~tall(X))=>happy(X)))&
((?[X]:((~brave(X)<~>~calm(X))))=>((~strong(susan)&happy(susan))))&
(![X]:((~patient(X)&~kind(X))<=>(calm(X)|brave(X))))&
((genero... | wise(mary) | [
"p0",
"p2",
"p7",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1302102947896619388436652
% SZS output start Proof for 1302102947896619388436652
1. ! [X0] : ((~creative(X0) | ~brave(X0)) <=> (kind(X0) & generous(X0))) [input p0]
3. ! [X0] : ((~old(X0) | quiet(X0)) <=> wise(X0)) [input p2]
8. ? [X0] : (old(X0) & ~brave(X0)) <=> ? [X0] : (~happy(X0) | o... | 0 |
Everyone who is either calm or not wise is strong and vice versa. Everyone who is humble or not generous is both patient and creative. If susan is both humble and calm then someone is either not creative or quiet. Everyone who is either not wise or calm is either funny or not wise. Everyone who is both not wise and cre... | Susan is not creative. | contradiction | (![X]:((calm(X)<~>~wise(X))<=>strong(X)))&
(![X]:((humble(X)|~generous(X))=>(patient(X)&creative(X))))&
(((humble(susan)&calm(susan)))=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:((~wise(X)<~>calm(X))=>(funny(X)<~>~wise(X))))&
(![X]:((~wise(X)&creative(X))<=>(~generous(X)&~brave(X))))&
((?[X]:((~quiet(X)&creative(X))))... | ~creative(susan) | [
"p1",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5494539700464017364850537
% SZS output start Proof for 5494539700464017364850537
2. ! [X0] : ((~generous(X0) | humble(X0)) => (creative(X0) & patient(X0))) [input p1]
10. ! [X0] : ((~humble(X0) | old(X0)) <=> ~generous(X0)) [input p9]
24. ~creative(susan) [input hypothesis]
31. ! [X0] : (... | 0 |
Everyone who is funny or not happy is funny.
Everyone who is not wise is old and vice versa.
Everyone who is both not quiet and not funny is either wise or rich.
If someone is both not quiet and wise then someone is rich.
If someone is happy then mary is either humble or not quiet and vice versa.
Everyone who is either... | John is generous. | entailment | (![X]:((funny(X)|~happy(X))=>funny(X)))&
(![X]:(~wise(X)<=>old(X)))&
(![X]:((~quiet(X)&~funny(X))=>(wise(X)<~>rich(X))))&
((?[X]:((~quiet(X)&wise(X))))=>(?[X]:(rich(X))))&
((?[X]:(happy(X)))<=>((humble(mary)<~>~quiet(mary))))&
(![X]:((~strong(X)<~>~happy(X))<=>(quiet(X)&~old(X))))&
((patient(paul))<=>(?[X]:((~patient(X... | generous(john) | [
"p6",
"p7",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5227441192754594005460976
% SZS output start Proof for 5227441192754594005460976
7. patient(paul) <=> ? [X0] : (patient(X0) & ~patient(X0)) [input p6]
8. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> ~patient(X0)) [input p7]
9. ? [X0] : ~calm(X0) <=> (calm(paul) & rich(paul)) [input p8]
19. gen... | 0 |
If mary is either wise or not wise then someone is both humble and not wise. If paul is not calm then paul is both wise and rich. If someone is either quiet or not creative then susan is not quiet and vice versa. Everyone who is both not strong and brave is not humble and vice versa. If someone is strong or not curious... | John is old. | neutral | (((wise(mary)<~>~wise(mary)))=>(?[X]:((humble(X)&~wise(X)))))&
((~calm(paul))=>((wise(paul)&rich(paul))))&
((?[X]:((quiet(X)<~>~creative(X))))<=>(~quiet(susan)))&
(![X]:((~strong(X)&brave(X))<=>~humble(X)))&
((?[X]:((strong(X)|~curious(X))))=>((~brave(mary)|calm(mary))))&
(![X]:((~strong(X)|kind(X))<=>(old(X)|~funny(X)... | old(john) | [] | null | 0 |
Everyone who is not wise is tall. If paul is either not wise or not funny then fred is not curious or not funny and vice versa. If susan is either not strong or not wise then paul is funny and vice versa. Everyone who is not patient or patient is either not calm or curious. If someone is patient then mary is both funny... | Alice is curious. | entailment | (![X]:(~wise(X)=>tall(X)))&
(((~wise(paul)<~>~funny(paul)))<=>((~curious(fred)|~funny(fred))))&
(((~strong(susan)<~>~wise(susan)))<=>(funny(paul)))&
(![X]:((~patient(X)|patient(X))=>(~calm(X)<~>curious(X))))&
((?[X]:(patient(X)))=>((funny(mary)&curious(mary))))&
(![X]:((~wise(X)<~>brave(X))=>(patient(X)&~patient(X))))&... | curious(alice) | [
"p0",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4088602216786935456995556
% SZS output start Proof for 4088602216786935456995556
1. ! [X0] : (~wise(X0) => tall(X0)) [input p0]
14. ! [X0] : ((wise(X0) <~> ~patient(X0)) <=> (curious(X0) | ~patient(X0))) [input p13]
17. tall(alice) <~> ~wise(alice) [input p16]
24. ~curious(alice) [input h... | 0 |
Everyone who is not patient is either not funny or wise and vice versa.
Everyone who is not rich or calm is not brave or creative.
Everyone who is not strong or calm is not tall or not strong and vice versa.
If paul is calm then mary is either curious or not humble.
Everyone who is both not quiet and happy is quiet and... | Alice is calm. | entailment | (![X]:(~patient(X)<=>(~funny(X)<~>wise(X))))&
(![X]:((~rich(X)|calm(X))=>(~brave(X)|creative(X))))&
(![X]:((~strong(X)|calm(X))<=>(~tall(X)|~strong(X))))&
((calm(paul))=>((curious(mary)<~>~humble(mary))))&
(![X]:((~quiet(X)&happy(X))<=>quiet(X)))&
((?[X]:((~old(X)|~happy(X))))<=>(?[X]:(~funny(X))))&
((~curious(susan))<... | calm(alice) | [
"p2",
"p4",
"p11",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2762127898022348123655167
% SZS output start Proof for 2762127898022348123655167
3. ! [X0] : ((calm(X0) | ~strong(X0)) <=> (~strong(X0) | ~tall(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> quiet(X0)) [input p4]
12. ! [X0] : ((tall(X0) | ~curious(X0)) => (creative(X0) & ~pati... | 0 |
If paul is both strong and quiet then someone is either tall or not curious.
Everyone who is both generous and curious is both curious and happy and vice versa.
If fred is either curious or happy then someone is either quiet or not curious and vice versa.
If someone is either quiet or creative then someone is either ki... | Paul is not rich. | contradiction | (((strong(paul)&quiet(paul)))=>(?[X]:((tall(X)<~>~curious(X)))))&
(![X]:((generous(X)&curious(X))<=>(curious(X)&happy(X))))&
(((curious(fred)<~>happy(fred)))<=>(?[X]:((quiet(X)<~>~curious(X)))))&
((?[X]:((quiet(X)<~>creative(X))))<=>(?[X]:((kind(X)<~>humble(X)))))&
(![X]:((~rich(X)|rich(X))=>(funny(X)<~>~wise(X))))&
((... | ~rich(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 596127255056448011321845
% SZS output start Proof for 596127255056448011321845
13. ! [X0] : ((~rich(X0) | rich(X0)) => (rich(X0) & curious(X0))) [input p12]
23. ~rich(paul) [input hypothesis]
36. ! [X0] : ((rich(X0) & curious(X0)) | (rich(X0) & ~rich(X0))) [ennf transformation 13]
116. ri... | 0 |
Everyone who is curious or calm is both calm and quiet.
If someone is not generous or brave then john is either kind or not quiet and vice versa.
Everyone who is funny is both rich and calm.
Everyone who is both humble and happy is not rich.
Everyone who is old is not strong or not happy.
Everyone who is not happy is e... | John is not calm. | entailment | (![X]:((curious(X)|calm(X))=>(calm(X)&quiet(X))))&
((?[X]:((~generous(X)|brave(X))))<=>((kind(john)<~>~quiet(john))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~strong(X)|~happy(X))))&
(![X]:(~happy(X)<=>(rich(X)<~>happy(X))))&
(![X]:((creative(X)|humble(X))<=>(~old... | ~calm(john) | [
"p3",
"p5",
"p6",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 80973910194349112888403
% SZS output start Proof for 80973910194349112888403
4. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p3]
6. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p5]
7. ! [X0] : ((humble(X0) | creative(X0)) <=> (~creative(X0) | ~old(X0))) [input p6]
... | 0 |
If john is not kind or not brave then someone is kind and vice versa. Everyone who is not rich is brave or not happy and vice versa. If someone is both not brave and not generous then mary is not old or patient and vice versa. Everyone who is both not rich and not humble is either brave or not creative and vice versa. ... | Alice is not creative. | contradiction | (((~kind(john)|~brave(john)))<=>(?[X]:(kind(X))))&
(![X]:(~rich(X)<=>(brave(X)|~happy(X))))&
((?[X]:((~brave(X)&~generous(X))))<=>((~old(mary)|patient(mary))))&
(![X]:((~rich(X)&~humble(X))<=>(brave(X)<~>~creative(X))))&
((?[X]:(~creative(X)))=>((patient(alice)|kind(alice))))&
(![X]:((brave(X)<~>tall(X))=>(~brave(X)&~p... | ~creative(alice) | [
"p1",
"p3",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5646341360857957911853608
% SZS output start Proof for 5646341360857957911853608
2. ! [X0] : (~rich(X0) <=> (~happy(X0) | brave(X0))) [input p1]
4. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> (brave(X0) <~> ~creative(X0))) [input p3]
15. ! [X0] : ((generous(X0) & rich(X0)) <=> (humble(X0) | ~... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa.
If fred is both not funny and not wise then someone is patient and vice versa.
If someone is both curious and calm then mary is not wise or curious and vice versa.
Everyone who is not humble is not curious or not strong and vice ver... | Susan is curious. | contradiction | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(patient(X))))&
((?[X]:((curious(X)&calm(X))))<=>((~wise(mary)|curious(mary))))&
(![X]:(~humble(X)<=>(~curious(X)|~strong(X))))&
(![X]:((kind(X)<~>~strong(X))<=>rich(X)))&
((~kind(susan))=>((creative(alice)<~>kind(alice)))... | curious(susan) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p7",
"p9",
"p10",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4441265139913253476967858
% SZS output start Proof for 4441265139913253476967858
1. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (curious(X0) & ~creative(X0))) [input p0]
2. (~wise(fred) & ~funny(fred)) <=> ? [X0] : patient(X0) [input p1]
3. ? [X0] : (calm(X0) & curious(X0)) <=> (curious(mary)... | 0 |
Everyone who is either curious or old is kind.
Everyone who is kind is not tall and vice versa.
If someone is either not creative or not quiet then john is not generous or strong and vice versa.
Everyone who is not wise or creative is not generous or old.
Everyone who is not brave or generous is curious or not generous... | John is not calm. | neutral | (![X]:((curious(X)<~>old(X))=>kind(X)))&
(![X]:(kind(X)<=>~tall(X)))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>((~generous(john)|strong(john))))&
(![X]:((~wise(X)|creative(X))=>(~generous(X)|old(X))))&
(![X]:((~brave(X)|generous(X))=>(curious(X)|~generous(X))))&
(![X]:((funny(X)<~>quiet(X))=>(~kind(X)|rich(X))))&
(![X]:(... | ~calm(john) | [] | null | 0 |
Everyone who is both quiet and calm is not curious or not rich and vice versa. If susan is curious then susan is not creative or not quiet and vice versa. If paul is kind then mary is both not quiet and old. Everyone who is not kind or not strong is either quiet or tall. If someone is not happy then mary is wise and vi... | Susan is generous. | neutral | (![X]:((quiet(X)&calm(X))<=>(~curious(X)|~rich(X))))&
((curious(susan))<=>((~creative(susan)|~quiet(susan))))&
((kind(paul))=>((~quiet(mary)&old(mary))))&
(![X]:((~kind(X)|~strong(X))=>(quiet(X)<~>tall(X))))&
((?[X]:(~happy(X)))<=>(wise(mary)))&
(![X]:(~creative(X)<=>(~happy(X)&~brave(X))))&
(![X]:((~quiet(X)<~>rich(X)... | generous(susan) | [] | null | 0 |
Everyone who is generous is either old or not calm and vice versa.
Everyone who is not old is both quiet and strong.
If someone is either rich or kind then john is either kind or wise.
Everyone who is patient or not happy is calm and vice versa.
If alice is calm then someone is wise.
Everyone who is rich or creative is... | Mary is humble. | neutral | (![X]:(generous(X)<=>(old(X)<~>~calm(X))))&
(![X]:(~old(X)=>(quiet(X)&strong(X))))&
((?[X]:((rich(X)<~>kind(X))))=>((kind(john)<~>wise(john))))&
(![X]:((patient(X)|~happy(X))<=>calm(X)))&
((calm(alice))=>(?[X]:(wise(X))))&
(![X]:((rich(X)|creative(X))=>happy(X)))&
((?[X]:((creative(X)<~>~generous(X))))<=>((~curious(mar... | humble(mary) | [] | null | 0 |
Everyone who is either not funny or kind is brave or not quiet and vice versa. Everyone who is calm or not happy is either not creative or not strong and vice versa. Everyone who is both wise and creative is not generous. If alice is both not generous and wise then someone is both not happy and not funny and vice versa... | Susan is not patient. | neutral | (![X]:((~funny(X)<~>kind(X))<=>(brave(X)|~quiet(X))))&
(![X]:((calm(X)|~happy(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((wise(X)&creative(X))=>~generous(X)))&
(((~generous(alice)&wise(alice)))<=>(?[X]:((~happy(X)&~funny(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~brave(fred)|~wise(fred))))&
(![X]:(rich(X)=>(happy... | ~patient(susan) | [] | null | 0 |
Everyone who is funny or creative is either creative or old.
Everyone who is both curious and not rich is not funny or humble.
Everyone who is not happy is both not patient and not brave.
Everyone who is humble or kind is either creative or not curious and vice versa.
If alice is not humble then someone is both not old... | Susan is generous. | entailment | (![X]:((funny(X)|creative(X))=>(creative(X)<~>old(X))))&
(![X]:((curious(X)&~rich(X))=>(~funny(X)|humble(X))))&
(![X]:(~happy(X)=>(~patient(X)&~brave(X))))&
(![X]:((humble(X)|kind(X))<=>(creative(X)<~>~curious(X))))&
((~humble(alice))<=>(?[X]:((~old(X)&generous(X)))))&
((?[X]:((~tall(X)&~patient(X))))<=>((~creative(luc... | generous(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7516377712579320380160858
% SZS output start Proof for 7516377712579320380160858
13. ? [X0] : (generous(X0) & ~generous(X0)) <=> (~generous(susan) | kind(susan)) [input p12]
21. ~generous(susan) [input hypothesis]
62. (? [X0] : (generous(X0) & ~generous(X0)) | (generous(susan) & ~kind(sus... | 0 |
Everyone who is not strong is both creative and quiet and vice versa.
Everyone who is not humble or curious is both not generous and happy and vice versa.
If someone is not tall then john is generous.
If paul is funny then fred is kind.
Everyone who is both brave and patient is curious and vice versa.
If fred is both n... | Mary is humble. | neutral | (![X]:(~strong(X)<=>(creative(X)&quiet(X))))&
(![X]:((~humble(X)|curious(X))<=>(~generous(X)&happy(X))))&
((?[X]:(~tall(X)))=>(generous(john)))&
((funny(paul))=>(kind(fred)))&
(![X]:((brave(X)&patient(X))<=>curious(X)))&
(((~rich(fred)&old(fred)))=>((kind(paul)<~>~creative(paul))))&
((?[X]:((patient(X)|old(X))))=>(?[X]... | humble(mary) | [] | null | 0 |
Everyone who is not kind or patient is strong or generous and vice versa. If fred is quiet or not curious then someone is not kind and vice versa. If someone is both not old and old then fred is either not kind or not curious. If someone is both tall and not quiet then fred is both not wise and kind and vice versa. If ... | Mary is strong. | contradiction | (![X]:((~kind(X)|patient(X))<=>(strong(X)|generous(X))))&
(((quiet(fred)|~curious(fred)))<=>(?[X]:(~kind(X))))&
((?[X]:((~old(X)&old(X))))=>((~kind(fred)<~>~curious(fred))))&
((?[X]:((tall(X)&~quiet(X))))<=>((~wise(fred)&kind(fred))))&
((?[X]:((~funny(X)&calm(X))))<=>(~rich(alice)))&
((?[X]:(strong(X)))=>((generous(joh... | strong(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7570684959397994989667576
% SZS output start Proof for 7570684959397994989667576
6. ? [X0] : strong(X0) => (~generous(john) & generous(john)) [input p5]
24. strong(mary) [input hypothesis]
30. (~generous(john) & generous(john)) | ! [X0] : ~strong(X0) [ennf transformation 6]
101. generous(... | 0 |
Everyone who is not wise or kind is both tall and wise.
If mary is either not rich or not quiet then alice is either not strong or not quiet and vice versa.
Everyone who is either kind or not generous is both not generous and not strong.
Everyone who is strong is not funny and vice versa.
Everyone who is brave or rich ... | Alice is generous. | entailment | (![X]:((~wise(X)|kind(X))=>(tall(X)&wise(X))))&
(((~rich(mary)<~>~quiet(mary)))<=>((~strong(alice)<~>~quiet(alice))))&
(![X]:((kind(X)<~>~generous(X))=>(~generous(X)&~strong(X))))&
(![X]:(strong(X)<=>~funny(X)))&
(![X]:((brave(X)|rich(X))<=>(~rich(X)&~creative(X))))&
(![X]:((kind(X)&~old(X))=>(rich(X)<~>~tall(X))))&
((... | generous(alice) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3245976284866423853510259
% SZS output start Proof for 3245976284866423853510259
1. ! [X0] : ((kind(X0) | ~wise(X0)) => (wise(X0) & tall(X0))) [input p0]
3. ! [X0] : ((kind(X0) <~> ~generous(X0)) => (~strong(X0) & ~generous(X0))) [input p2]
4. ! [X0] : (strong(X0) <=> ~funny(X0)) [input p... | 0 |
Everyone who is humble or kind is either not funny or happy and vice versa. Everyone who is funny or not funny is either not creative or not patient and vice versa. Everyone who is either not strong or not funny is both not creative and rich and vice versa. Everyone who is either rich or old is not strong. If someone i... | Lucy is patient. | neutral | (![X]:((humble(X)|kind(X))<=>(~funny(X)<~>happy(X))))&
(![X]:((funny(X)|~funny(X))<=>(~creative(X)<~>~patient(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>(~creative(X)&rich(X))))&
(![X]:((rich(X)<~>old(X))=>~strong(X)))&
((?[X]:((kind(X)|~curious(X))))=>(?[X]:((wise(X)&patient(X)))))&
((?[X]:((tall(X)|~wise(X))))<=>(?[X]:... | patient(lucy) | [] | null | 0 |
If someone is either rich or not creative then mary is either not generous or old.
If someone is both funny and not old then paul is not wise and vice versa.
Everyone who is calm or not rich is not brave and vice versa.
If lucy is old then someone is generous or funny and vice versa.
If john is brave or not humble then... | Susan is not calm. | contradiction | ((?[X]:((rich(X)<~>~creative(X))))=>((~generous(mary)<~>old(mary))))&
((?[X]:((funny(X)&~old(X))))<=>(~wise(paul)))&
(![X]:((calm(X)|~rich(X))<=>~brave(X)))&
((old(lucy))<=>(?[X]:((generous(X)|funny(X)))))&
(((brave(john)|~humble(john)))<=>(?[X]:(creative(X))))&
(![X]:((~happy(X)&generous(X))=>~kind(X)))&
(((~humble(fr... | ~calm(susan) | [
"p2",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7390615261108898846630750
% SZS output start Proof for 7390615261108898846630750
3. ! [X0] : ((~rich(X0) | calm(X0)) <=> ~brave(X0)) [input p2]
9. ! [X0] : ((~brave(X0) | ~tall(X0)) => (~curious(X0) | calm(X0))) [input p8]
12. ! [X0] : ((creative(X0) | curious(X0)) => (rich(X0) <~> curiou... | 0 |
Everyone who is either rich or happy is rich or patient.
Everyone who is either not quiet or not strong is curious and vice versa.
If someone is both not kind and quiet then someone is generous or humble.
If alice is both humble and not funny then someone is rich and vice versa.
If someone is not humble then someone is... | Lucy is not generous. | neutral | (![X]:((rich(X)<~>happy(X))=>(rich(X)|patient(X))))&
(![X]:((~quiet(X)<~>~strong(X))<=>curious(X)))&
((?[X]:((~kind(X)&quiet(X))))=>(?[X]:((generous(X)|humble(X)))))&
(((humble(alice)&~funny(alice)))<=>(?[X]:(rich(X))))&
((?[X]:(~humble(X)))<=>(?[X]:((brave(X)|~quiet(X)))))&
((?[X]:(~strong(X)))<=>(?[X]:(~funny(X))))&
... | ~generous(lucy) | [] | null | 0 |
Everyone who is funny is both not funny and calm. If paul is both not wise and generous then fred is humble and vice versa. Everyone who is brave or not tall is either strong or not humble and vice versa. Everyone who is either not kind or calm is brave or tall and vice versa. If susan is either not kind or humble then... | John is not brave. | entailment | (![X]:(funny(X)=>(~funny(X)&calm(X))))&
(((~wise(paul)&generous(paul)))<=>(humble(fred)))&
(![X]:((brave(X)|~tall(X))<=>(strong(X)<~>~humble(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(brave(X)|tall(X))))&
(((~kind(susan)<~>humble(susan)))<=>(?[X]:((~creative(X)|old(X)))))&
(![X]:((rich(X)|~strong(X))=>(~quiet(X)&~kind(X))))... | ~brave(john) | [
"p0",
"p2",
"p3",
"p5",
"p8",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2350467616531786222722990
% SZS output start Proof for 2350467616531786222722990
1. ! [X0] : (funny(X0) => (calm(X0) & ~funny(X0))) [input p0]
3. ! [X0] : ((~tall(X0) | brave(X0)) <=> (strong(X0) <~> ~humble(X0))) [input p2]
4. ! [X0] : ((~kind(X0) <~> calm(X0)) <=> (tall(X0) | brave(X0))... | 0 |
If someone is either not quiet or not funny then someone is not old or not rich.
If paul is both not tall and not kind then someone is either old or funny.
Everyone who is not tall or not wise is either strong or not rich.
Everyone who is either wise or kind is either generous or tall.
If someone is not strong or not h... | Fred is not rich. | entailment | ((?[X]:((~quiet(X)<~>~funny(X))))=>(?[X]:((~old(X)|~rich(X)))))&
(((~tall(paul)&~kind(paul)))=>(?[X]:((old(X)<~>funny(X)))))&
(![X]:((~tall(X)|~wise(X))=>(strong(X)<~>~rich(X))))&
(![X]:((wise(X)<~>kind(X))=>(generous(X)<~>tall(X))))&
((?[X]:((~strong(X)|~humble(X))))<=>((~curious(alice)|~rich(alice))))&
(![X]:(tall(X)... | ~rich(fred) | [
"p5",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8980924183953587359905391
% SZS output start Proof for 8980924183953587359905391
6. ! [X0] : (tall(X0) <=> (~rich(X0) & ~quiet(X0))) [input p5]
7. ? [X0] : (kind(X0) | ~tall(X0)) => (~humble(alice) & strong(alice)) [input p6]
16. ! [X0] : ((~humble(X0) | ~strong(X0)) => (humble(X0) & ~str... | 0 |
If someone is not old or funny then paul is not humble or kind.
If lucy is either not strong or creative then alice is not kind.
Everyone who is not quiet is not generous or happy.
If someone is curious then someone is either humble or patient and vice versa.
If john is either creative or strong then someone is not wis... | Lucy is not quiet. | contradiction | ((?[X]:((~old(X)|funny(X))))=>((~humble(paul)|kind(paul))))&
(((~strong(lucy)<~>creative(lucy)))=>(~kind(alice)))&
(![X]:(~quiet(X)=>(~generous(X)|happy(X))))&
((?[X]:(curious(X)))<=>(?[X]:((humble(X)<~>patient(X)))))&
(((creative(john)<~>strong(john)))<=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((calm(X)<~>~curious(X))<... | ~quiet(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6450196490792062014240253
% SZS output start Proof for 6450196490792062014240253
15. ! [X0] : (~quiet(X0) <=> (quiet(X0) & ~wise(X0))) [input p14]
23. ~quiet(lucy) [input hypothesis]
62. ! [X0] : ((~quiet(X0) | (~quiet(X0) | wise(X0))) & ((quiet(X0) & ~wise(X0)) | quiet(X0))) [nnf transfo... | 0 |
If someone is both not brave and not quiet then someone is both not creative and not old.
If someone is brave or old then lucy is wise and vice versa.
If paul is not rich then someone is both not strong and not happy.
Everyone who is not rich is kind and vice versa.
Everyone who is either not strong or not generous is ... | Alice is not quiet. | contradiction | ((?[X]:((~brave(X)&~quiet(X))))=>(?[X]:((~creative(X)&~old(X)))))&
((?[X]:((brave(X)|old(X))))<=>(wise(lucy)))&
((~rich(paul))=>(?[X]:((~strong(X)&~happy(X)))))&
(![X]:(~rich(X)<=>kind(X)))&
(![X]:((~strong(X)<~>~generous(X))<=>(~funny(X)<~>~patient(X))))&
(![X]:(~tall(X)<=>(funny(X)|~tall(X))))&
((?[X]:((kind(X)|~rich... | ~quiet(alice) | [
"p4",
"p11",
"p12",
"p15",
"p17",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 590173151053445607561992
% SZS output start Proof for 590173151053445607561992
5. ! [X0] : ((~strong(X0) <~> ~generous(X0)) <=> (~funny(X0) <~> ~patient(X0))) [input p4]
12. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (strong(X0) | creative(X0))) [input p11]
13. ! [X0] : ((curious(X0) & ~ge... | 0 |
Everyone who is not curious is generous or not patient.
Everyone who is not kind is both not curious and not generous.
If someone is either not kind or not tall then someone is either curious or not wise and vice versa.
Everyone who is funny or not wise is tall.
If someone is both old and creative then someone is not s... | Susan is not quiet. | entailment | (![X]:(~curious(X)=>(generous(X)|~patient(X))))&
(![X]:(~kind(X)=>(~curious(X)&~generous(X))))&
((?[X]:((~kind(X)<~>~tall(X))))<=>(?[X]:((curious(X)<~>~wise(X)))))&
(![X]:((funny(X)|~wise(X))=>tall(X)))&
((?[X]:((old(X)&creative(X))))<=>(?[X]:((~strong(X)|~patient(X)))))&
(((tall(mary)|humble(mary)))<=>(?[X]:((strong(X... | ~quiet(susan) | [
"p1",
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1736494294000221635644836
% SZS output start Proof for 1736494294000221635644836
2. ! [X0] : (~kind(X0) => (~generous(X0) & ~curious(X0))) [input p1]
7. ! [X0] : (~kind(X0) <=> happy(X0)) [input p6]
11. ! [X0] : ((~happy(X0) & ~funny(X0)) <=> ~curious(X0)) [input p10]
13. ? [X0] : (quiet(... | 0 |
If john is not wise or not quiet then someone is happy and vice versa.
Everyone who is humble or rich is not curious or not humble and vice versa.
If someone is either strong or not kind then fred is both not wise and patient and vice versa.
Everyone who is not strong or not humble is either not brave or patient and vi... | John is not wise. | neutral | (((~wise(john)|~quiet(john)))<=>(?[X]:(happy(X))))&
(![X]:((humble(X)|rich(X))<=>(~curious(X)|~humble(X))))&
((?[X]:((strong(X)<~>~kind(X))))<=>((~wise(fred)&patient(fred))))&
(![X]:((~strong(X)|~humble(X))<=>(~brave(X)<~>patient(X))))&
((?[X]:((wise(X)&~wise(X))))<=>((kind(john)|~calm(john))))&
((~creative(paul))=>((q... | ~wise(john) | [] | null | 0 |
Everyone who is rich is generous.
If susan is not kind then someone is not generous or not funny.
If lucy is either kind or not quiet then someone is both not curious and tall.
Everyone who is both old and not strong is both generous and creative and vice versa.
Everyone who is not generous or strong is either happy or... | John is not happy. | contradiction | (![X]:(rich(X)=>generous(X)))&
((~kind(susan))=>(?[X]:((~generous(X)|~funny(X)))))&
(((kind(lucy)<~>~quiet(lucy)))=>(?[X]:((~curious(X)&tall(X)))))&
(![X]:((old(X)&~strong(X))<=>(generous(X)&creative(X))))&
(![X]:((~generous(X)|strong(X))<=>(happy(X)<~>~brave(X))))&
(![X]:((calm(X)|old(X))<=>(calm(X)|~old(X))))&
((?[X]... | ~happy(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3962412727360129588199386
% SZS output start Proof for 3962412727360129588199386
21. ~tall(john) & happy(john) [input p20]
24. ~happy(john) [input hypothesis]
122. happy(john) [cnf transformation 21]
126. ~happy(john) [cnf transformation 24]
257. $false [subsumption resolution 126,122]
% ... | 0 |
If mary is generous or not brave then susan is not rich or not curious.
Everyone who is either rich or not kind is patient.
If someone is both humble and not generous then mary is strong and vice versa.
If lucy is not strong then someone is not happy or not wise.
Everyone who is both rich and not generous is either tal... | John is generous. | neutral | (((generous(mary)|~brave(mary)))=>((~rich(susan)|~curious(susan))))&
(![X]:((rich(X)<~>~kind(X))=>patient(X)))&
((?[X]:((humble(X)&~generous(X))))<=>(strong(mary)))&
((~strong(lucy))=>(?[X]:((~happy(X)|~wise(X)))))&
(![X]:((rich(X)&~generous(X))<=>(tall(X)<~>~strong(X))))&
(![X]:((~old(X)&~rich(X))=>(~happy(X)|~strong(... | generous(john) | [] | null | 0 |
If someone is not patient then someone is either generous or patient and vice versa.
If paul is not brave then someone is both not kind and curious.
Everyone who is not kind is either not humble or brave and vice versa.
If someone is not generous or strong then someone is either not generous or not brave.
Everyone who ... | Alice is not generous. | contradiction | ((?[X]:(~patient(X)))<=>(?[X]:((generous(X)<~>patient(X)))))&
((~brave(paul))=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:(~kind(X)<=>(~humble(X)<~>brave(X))))&
((?[X]:((~generous(X)|strong(X))))=>(?[X]:((~generous(X)<~>~brave(X)))))&
(![X]:((~calm(X)<~>~generous(X))=>(~creative(X)&~kind(X))))&
(![X]:((~strong(X)|strong(X)... | ~generous(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7460345917281411732460969
% SZS output start Proof for 7460345917281411732460969
6. ! [X0] : ((strong(X0) | ~strong(X0)) <=> generous(X0)) [input p5]
23. ~generous(alice) [input hypothesis]
49. ! [X0] : (((strong(X0) | ~strong(X0)) | ~generous(X0)) & (generous(X0) | (~strong(X0) & strong(... | 0 |
Everyone who is either happy or not curious is both patient and funny.
Everyone who is either not creative or quiet is either wise or not humble.
If mary is both not curious and humble then fred is strong and vice versa.
Everyone who is both not funny and wise is wise or tall and vice versa.
Everyone who is either rich... | Fred is not curious. | entailment | (![X]:((happy(X)<~>~curious(X))=>(patient(X)&funny(X))))&
(![X]:((~creative(X)<~>quiet(X))=>(wise(X)<~>~humble(X))))&
(((~curious(mary)&humble(mary)))<=>(strong(fred)))&
(![X]:((~funny(X)&wise(X))<=>(wise(X)|tall(X))))&
(![X]:((rich(X)<~>funny(X))<=>~creative(X)))&
((?[X]:(generous(X)))<=>((old(paul)<~>~patient(paul)))... | ~curious(fred) | [
"p3",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3340068214417355959120603
% SZS output start Proof for 3340068214417355959120603
4. ! [X0] : ((wise(X0) & ~funny(X0)) <=> (tall(X0) | wise(X0))) [input p3]
8. ! [X0] : ((tall(X0) & calm(X0)) <=> (curious(X0) | funny(X0))) [input p7]
16. ! [X0] : (wise(X0) <=> (~wise(X0) & tall(X0))) [inpu... | 0 |
If mary is either humble or not creative then someone is not creative or kind and vice versa.
Everyone who is tall is both not strong and not calm.
Everyone who is either not funny or funny is not wise or not quiet and vice versa.
If someone is not happy then someone is both not old and quiet and vice versa.
Everyone w... | John is funny. | neutral | (((humble(mary)<~>~creative(mary)))<=>(?[X]:((~creative(X)|kind(X)))))&
(![X]:(tall(X)=>(~strong(X)&~calm(X))))&
(![X]:((~funny(X)<~>funny(X))<=>(~wise(X)|~quiet(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~old(X)&quiet(X)))))&
(![X]:((~old(X)|~kind(X))<=>(brave(X)&~old(X))))&
((generous(fred))=>(~tall(mary)))&
((?[X]:((funny... | funny(john) | [] | null | 0 |
If mary is not patient then someone is rich. Everyone who is rich or calm is either not brave or patient and vice versa. Everyone who is either old or not humble is both happy and not quiet and vice versa. Everyone who is not kind is not happy and vice versa. Everyone who is either not humble or not kind is both not ta... | Susan is old. | contradiction | ((~patient(mary))=>(?[X]:(rich(X))))&
(![X]:((rich(X)|calm(X))<=>(~brave(X)<~>patient(X))))&
(![X]:((old(X)<~>~humble(X))<=>(happy(X)&~quiet(X))))&
(![X]:(~kind(X)<=>~happy(X)))&
(![X]:((~humble(X)<~>~kind(X))=>(~tall(X)&~wise(X))))&
(((calm(fred)<~>old(fred)))<=>(?[X]:((~generous(X)<~>humble(X)))))&
(![X]:(~curious(X)... | old(susan) | [
"p2",
"p3",
"p6",
"p7",
"p8",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5616714881495471616285301
% SZS output start Proof for 5616714881495471616285301
3. ! [X0] : ((old(X0) <~> ~humble(X0)) <=> (~quiet(X0) & happy(X0))) [input p2]
4. ! [X0] : (~kind(X0) <=> ~happy(X0)) [input p3]
7. ! [X0] : (~curious(X0) <=> (brave(X0) <~> old(X0))) [input p6]
8. ! [X0] : ... | 0 |
Everyone who is either not curious or not generous is generous or strong and vice versa.
Everyone who is happy or rich is both patient and funny.
If someone is either tall or patient then alice is not old or not happy.
Everyone who is both not kind and not quiet is both brave and not funny.
Everyone who is not brave is... | Susan is not curious. | entailment | (![X]:((~curious(X)<~>~generous(X))<=>(generous(X)|strong(X))))&
(![X]:((happy(X)|rich(X))=>(patient(X)&funny(X))))&
((?[X]:((tall(X)<~>patient(X))))=>((~old(alice)|~happy(alice))))&
(![X]:((~kind(X)&~quiet(X))=>(brave(X)&~funny(X))))&
(![X]:(~brave(X)=>(strong(X)|~generous(X))))&
(![X]:(~funny(X)<=>(~brave(X)&~tall(X)... | ~curious(susan) | [
"p0",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 9001433608737364335483109
% SZS output start Proof for 9001433608737364335483109
1. ! [X0] : ((~curious(X0) <~> ~generous(X0)) <=> (strong(X0) | generous(X0))) [input p0]
10. ! [X0] : ((old(X0) | humble(X0)) => (~strong(X0) & generous(X0))) [input p9]
24. humble(susan) [input p23]
25. cur... | 0 |
If someone is happy or not rich then mary is kind or patient.
If paul is either not strong or quiet then someone is not calm.
Everyone who is not quiet is both generous and curious.
If fred is not tall then fred is humble or tall and vice versa.
Everyone who is either not patient or strong is calm or rich.
If alice is ... | Paul is not curious. | contradiction | ((?[X]:((happy(X)|~rich(X))))=>((kind(mary)|patient(mary))))&
(((~strong(paul)<~>quiet(paul)))=>(?[X]:(~calm(X))))&
(![X]:(~quiet(X)=>(generous(X)&curious(X))))&
((~tall(fred))<=>((humble(fred)|tall(fred))))&
(![X]:((~patient(X)<~>strong(X))=>(calm(X)|rich(X))))&
(((~tall(alice)|~quiet(alice)))<=>((happy(paul)<~>~kind(... | ~curious(paul) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7525276001918536258101981
% SZS output start Proof for 7525276001918536258101981
3. ! [X0] : (~quiet(X0) => (curious(X0) & generous(X0))) [input p2]
11. (~quiet(paul) & ~calm(paul)) <=> ? [X0] : (happy(X0) | ~happy(X0)) [input p10]
25. ~curious(paul) [input hypothesis]
30. ! [X0] : ((curi... | 0 |
If lucy is strong then susan is not kind and vice versa.
If fred is both strong and not curious then lucy is quiet.
Everyone who is either quiet or generous is either happy or rich.
If someone is not old then lucy is both creative and strong and vice versa.
If someone is not rich then john is either quiet or kind.
If l... | Mary is not brave. | entailment | ((strong(lucy))<=>(~kind(susan)))&
(((strong(fred)&~curious(fred)))=>(quiet(lucy)))&
(![X]:((quiet(X)<~>generous(X))=>(happy(X)<~>rich(X))))&
((?[X]:(~old(X)))<=>((creative(lucy)&strong(lucy))))&
((?[X]:(~rich(X)))=>((quiet(john)<~>kind(john))))&
(((funny(lucy)|~rich(lucy)))<=>(?[X]:((~funny(X)|tall(X)))))&
((old(lucy)... | ~brave(mary) | [
"p0",
"p3",
"p8",
"p12",
"p15",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8996849796966390704912234
% SZS output start Proof for 8996849796966390704912234
1. strong(lucy) <=> ~kind(susan) [input p0]
4. ? [X0] : ~old(X0) <=> (strong(lucy) & creative(lucy)) [input p3]
9. ? [X0] : ~old(X0) <=> ? [X0] : ~wise(X0) [input p8]
13. ! [X0] : (patient(X0) => (generous(X0... | 0 |
Everyone who is not creative or humble is both not rich and tall and vice versa.
If someone is both not kind and funny then someone is not wise and vice versa.
Everyone who is tall is either funny or quiet.
Everyone who is either old or not tall is funny or old and vice versa.
If lucy is both not humble and not creativ... | Paul is not rich. | entailment | (![X]:((~creative(X)|humble(X))<=>(~rich(X)&tall(X))))&
((?[X]:((~kind(X)&funny(X))))<=>(?[X]:(~wise(X))))&
(![X]:(tall(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((humble(X)|c... | ~rich(paul) | [
"p1",
"p6",
"p7",
"p9",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5005991558234419084705450
% SZS output start Proof for 5005991558234419084705450
2. ? [X0] : (funny(X0) & ~kind(X0)) <=> ? [X0] : ~wise(X0) [input p1]
7. ! [X0] : (~calm(X0) <=> rich(X0)) [input p6]
8. ! [X0] : ((quiet(X0) <~> ~generous(X0)) => (~wise(X0) & ~curious(X0))) [input p7]
10. !... | 0 |
If someone is not rich then someone is both patient and not patient. If someone is both happy and humble then mary is either curious or brave. If lucy is either calm or not strong then someone is either humble or generous and vice versa. Everyone who is both kind and not curious is not calm or generous. Everyone who is... | Mary is patient. | neutral | ((?[X]:(~rich(X)))=>(?[X]:((patient(X)&~patient(X)))))&
((?[X]:((happy(X)&humble(X))))=>((curious(mary)<~>brave(mary))))&
(((calm(lucy)<~>~strong(lucy)))<=>(?[X]:((humble(X)<~>generous(X)))))&
(![X]:((kind(X)&~curious(X))=>(~calm(X)|generous(X))))&
(![X]:((brave(X)|wise(X))=>(calm(X)<~>~generous(X))))&
((tall(mary))=>(... | patient(mary) | [] | null | 0 |
If someone is patient then someone is not happy.
If mary is wise or not wise then someone is happy or not brave.
If mary is not brave or not wise then someone is quiet.
If fred is not creative then someone is either not curious or humble.
If alice is not patient or happy then someone is not rich and vice versa.
Everyon... | Fred is not kind. | contradiction | ((?[X]:(patient(X)))=>(?[X]:(~happy(X))))&
(((wise(mary)|~wise(mary)))=>(?[X]:((happy(X)|~brave(X)))))&
(((~brave(mary)|~wise(mary)))=>(?[X]:(quiet(X))))&
((~creative(fred))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((~patient(alice)|happy(alice)))<=>(?[X]:(~rich(X))))&
(![X]:((wise(X)|~curious(X))<=>(wise(X)<~>brave(X)))... | ~kind(fred) | [
"p5",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6897667143509895571355905
% SZS output start Proof for 6897667143509895571355905
6. ! [X0] : ((~curious(X0) | wise(X0)) <=> (wise(X0) <~> brave(X0))) [input p5]
9. ! [X0] : ((humble(X0) | rich(X0)) <=> (tall(X0) & curious(X0))) [input p8]
11. ! [X0] : ((old(X0) | ~brave(X0)) <=> (~strong(... | 0 |
Everyone who is both not wise and not rich is funny and vice versa. Everyone who is either generous or not old is both not humble and old. If mary is either not strong or not generous then paul is either generous or wise. If john is not generous or wise then someone is both not quiet and not strong and vice versa. Ever... | John is rich. | entailment | (![X]:((~wise(X)&~rich(X))<=>funny(X)))&
(![X]:((generous(X)<~>~old(X))=>(~humble(X)&old(X))))&
(((~strong(mary)<~>~generous(mary)))=>((generous(paul)<~>wise(paul))))&
(((~generous(john)|wise(john)))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(![X]:((kind(X)&~quiet(X))=>(~kind(X)&funny(X))))&
(![X]:((old(X)<~>~curious(X))=>st... | rich(john) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2654196755799362888733506
% SZS output start Proof for 2654196755799362888733506
5. ! [X0] : ((~quiet(X0) & kind(X0)) => (funny(X0) & ~kind(X0))) [input p4]
9. (~quiet(paul) & kind(paul)) <=> ? [X0] : ~rich(X0) [input p8]
21. ~rich(john) [input hypothesis]
25. ! [X0] : ((funny(X0) & ~kind... | 0 |
If someone is not quiet then paul is not old.
If mary is not calm then someone is generous or not old and vice versa.
If someone is either calm or not generous then someone is both not generous and humble and vice versa.
Everyone who is either calm or not rich is not calm or creative and vice versa.
If someone is not p... | Susan is tall. | contradiction | ((?[X]:(~quiet(X)))=>(~old(paul)))&
((~calm(mary))<=>(?[X]:((generous(X)|~old(X)))))&
((?[X]:((calm(X)<~>~generous(X))))<=>(?[X]:((~generous(X)&humble(X)))))&
(![X]:((calm(X)<~>~rich(X))<=>(~calm(X)|creative(X))))&
((?[X]:(~patient(X)))=>((~funny(mary)&~rich(mary))))&
((?[X]:((funny(X)&~wise(X))))=>(?[X]:((strong(X)&~s... | tall(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3928530802133871438140515
% SZS output start Proof for 3928530802133871438140515
12. ? [X0] : tall(X0) <=> ? [X0] : (generous(X0) & ~generous(X0)) [input p11]
24. tall(susan) [input hypothesis]
28. ? [X0] : tall(X0) <=> ? [X1] : (generous(X1) & ~generous(X1)) [rectify 12]
60. (? [X0] : ta... | 0 |
If someone is not happy then someone is not kind or strong. If lucy is both not strong and generous then someone is either old or not calm. Everyone who is both curious and quiet is both not kind and not brave. If fred is both happy and not quiet then mary is patient. If alice is creative then alice is not calm or pati... | John is not creative. | entailment | ((?[X]:(~happy(X)))=>(?[X]:((~kind(X)|strong(X)))))&
(((~strong(lucy)&generous(lucy)))=>(?[X]:((old(X)<~>~calm(X)))))&
(![X]:((curious(X)&quiet(X))=>(~kind(X)&~brave(X))))&
(((happy(fred)&~quiet(fred)))=>(patient(mary)))&
((creative(alice))=>((~calm(alice)|patient(alice))))&
(![X]:((~calm(X)<~>~old(X))<=>(~humble(X)|ri... | ~creative(john) | [
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 636553908486045158322668
% SZS output start Proof for 636553908486045158322668
9. ? [X0] : (creative(X0) | ~strong(X0)) <=> ? [X0] : (old(X0) & rich(X0)) [input p8]
14. ! [X0] : (calm(X0) <=> (~old(X0) <~> ~calm(X0))) [input p13]
25. creative(john) [input hypothesis]
27. ? [X0] : (creativ... | 0 |
Everyone who is not humble is both not brave and not strong and vice versa.
Everyone who is quiet is both tall and not wise.
Everyone who is rich is either not quiet or curious and vice versa.
Everyone who is both patient and not kind is curious or not tall.
If someone is not quiet then someone is strong and vice versa... | Paul is not generous. | neutral | (![X]:(~humble(X)<=>(~brave(X)&~strong(X))))&
(![X]:(quiet(X)=>(tall(X)&~wise(X))))&
(![X]:(rich(X)<=>(~quiet(X)<~>curious(X))))&
(![X]:((patient(X)&~kind(X))=>(curious(X)|~tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(strong(X))))&
((?[X]:((~old(X)<~>rich(X))))<=>(?[X]:((~generous(X)<~>kind(X)))))&
((?[X]:((happy(X)&rich(X... | ~generous(paul) | [] | null | 0 |
Everyone who is not brave or not rich is both tall and wise and vice versa.
If someone is either strong or not happy then susan is both patient and not patient and vice versa.
Everyone who is not rich is funny or calm and vice versa.
If lucy is tall or calm then someone is funny and vice versa.
Everyone who is either n... | Alice is not tall. | contradiction | (![X]:((~brave(X)|~rich(X))<=>(tall(X)&wise(X))))&
((?[X]:((strong(X)<~>~happy(X))))<=>((patient(susan)&~patient(susan))))&
(![X]:(~rich(X)<=>(funny(X)|calm(X))))&
(((tall(lucy)|calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((~curious(X)<~>curious(X))<=>~kind(X)))&
(((curious(paul)&patient(paul)))<=>(~brave(mary)))&
(![X]:(... | ~tall(alice) | [
"p0",
"p2",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8459934034145864709558165
% SZS output start Proof for 8459934034145864709558165
1. ! [X0] : ((~rich(X0) | ~brave(X0)) <=> (wise(X0) & tall(X0))) [input p0]
3. ! [X0] : (~rich(X0) <=> (calm(X0) | funny(X0))) [input p2]
10. ! [X0] : (~wise(X0) <=> (calm(X0) & ~humble(X0))) [input p9]
13. ?... | 0 |
If susan is either strong or wise then someone is not brave. If susan is not happy or not wise then lucy is either kind or not old. If someone is curious then someone is both happy and not happy. Everyone who is old is humble and vice versa. If someone is not strong or strong then someone is either not generous or not ... | Lucy is not quiet. | entailment | (((strong(susan)<~>wise(susan)))=>(?[X]:(~brave(X))))&
(((~happy(susan)|~wise(susan)))=>((kind(lucy)<~>~old(lucy))))&
((?[X]:(curious(X)))=>(?[X]:((happy(X)&~happy(X)))))&
(![X]:(old(X)<=>humble(X)))&
((?[X]:((~strong(X)|strong(X))))=>(?[X]:((~generous(X)<~>~humble(X)))))&
(![X]:((humble(X)<~>happy(X))<=>(~tall(X)&brav... | ~quiet(lucy) | [
"p5",
"p6",
"p7",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 914146153000617657404606
% SZS output start Proof for 914146153000617657404606
6. ! [X0] : ((humble(X0) <~> happy(X0)) <=> (brave(X0) & ~tall(X0))) [input p5]
7. ! [X0] : (~tall(X0) <=> ~humble(X0)) [input p6]
8. ! [X0] : ((quiet(X0) | creative(X0)) => (generous(X0) & ~wise(X0))) [input p... | 0 |
Everyone who is either humble or not humble is kind.
Everyone who is quiet is both creative and tall.
Everyone who is brave or not patient is either rich or curious and vice versa.
If alice is not curious then fred is not wise or wise.
Everyone who is happy is either not quiet or calm.
If alice is not tall or not gener... | Alice is curious. | entailment | (![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![X]:(quiet(X)=>(creative(X)&tall(X))))&
(![X]:((brave(X)|~patient(X))<=>(rich(X)<~>curious(X))))&
((~curious(alice))=>((~wise(fred)|wise(fred))))&
(![X]:(happy(X)=>(~quiet(X)<~>calm(X))))&
(((~tall(alice)|~generous(alice)))<=>(?[X]:(rich(X))))&
(![X]:((~patient(X)|patient(X... | curious(alice) | [
"p0",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3423422181942038694233128
% SZS output start Proof for 3423422181942038694233128
1. ! [X0] : ((humble(X0) <~> ~humble(X0)) => kind(X0)) [input p0]
12. ! [X0] : ((creative(X0) | kind(X0)) => curious(X0)) [input p11]
25. ~curious(alice) [input hypothesis]
30. ! [X0] : (kind(X0) | (humble(X0... | 0 |
Everyone who is not old is both not funny and funny and vice versa.
If susan is not quiet then lucy is not brave and vice versa.
If someone is either wise or curious then alice is either not wise or kind and vice versa.
If lucy is wise then someone is both not happy and not tall.
Everyone who is happy is patient.
Every... | Alice is not old. | contradiction | (![X]:(~old(X)<=>(~funny(X)&funny(X))))&
((~quiet(susan))<=>(~brave(lucy)))&
((?[X]:((wise(X)<~>curious(X))))<=>((~wise(alice)<~>kind(alice))))&
((wise(lucy))=>(?[X]:((~happy(X)&~tall(X)))))&
(![X]:(happy(X)=>patient(X)))&
(![X]:(curious(X)<=>(~patient(X)&patient(X))))&
(![X]:((~old(X)&old(X))=>(~tall(X)|~calm(X))))&
(... | ~old(alice) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 466232962602604202163672
% SZS output start Proof for 466232962602604202163672
1. ! [X0] : (~old(X0) <=> (funny(X0) & ~funny(X0))) [input p0]
23. ~old(alice) [input hypothesis]
34. ! [X0] : ((~old(X0) | (~funny(X0) | funny(X0))) & ((funny(X0) & ~funny(X0)) | old(X0))) [nnf transformation ... | 0 |
If john is not quiet then someone is both not calm and wise and vice versa. Everyone who is either humble or patient is both creative and brave. If someone is not happy or patient then someone is either happy or strong and vice versa. Everyone who is strong or quiet is both humble and not tall and vice versa. If someon... | Fred is patient. | contradiction | ((~quiet(john))<=>(?[X]:((~calm(X)&wise(X)))))&
(![X]:((humble(X)<~>patient(X))=>(creative(X)&brave(X))))&
((?[X]:((~happy(X)|patient(X))))<=>(?[X]:((happy(X)<~>strong(X)))))&
(![X]:((strong(X)|quiet(X))<=>(humble(X)&~tall(X))))&
((?[X]:((humble(X)<~>~happy(X))))<=>((~generous(paul)<~>wise(paul))))&
((?[X]:((calm(X)<~>... | patient(fred) | [
"p1",
"p7",
"p8",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8568015600316693070447007
% SZS output start Proof for 8568015600316693070447007
2. ! [X0] : ((humble(X0) <~> patient(X0)) => (brave(X0) & creative(X0))) [input p1]
8. ! [X0] : ((~tall(X0) & ~strong(X0)) <=> (~kind(X0) | brave(X0))) [input p7]
9. ! [X0] : ((tall(X0) & ~humble(X0)) <=> (ol... | 0 |
If someone is not tall then alice is both brave and not humble. Everyone who is not strong is kind. Everyone who is funny or generous is both brave and generous and vice versa. Everyone who is brave is not happy. Everyone who is tall is brave. If someone is generous then john is old. If alice is either humble or not wi... | Fred is not quiet. | contradiction | ((?[X]:(~tall(X)))=>((brave(alice)&~humble(alice))))&
(![X]:(~strong(X)=>kind(X)))&
(![X]:((funny(X)|generous(X))<=>(brave(X)&generous(X))))&
(![X]:(brave(X)=>~happy(X)))&
(![X]:(tall(X)=>brave(X)))&
((?[X]:(generous(X)))=>(old(john)))&
(((humble(alice)<~>~wise(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((~strong(X)<~>~kind(... | ~quiet(fred) | [
"p1",
"p2",
"p3",
"p5",
"p7",
"p8",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6072290784960774838134962
% SZS output start Proof for 6072290784960774838134962
2. ! [X0] : (~strong(X0) => kind(X0)) [input p1]
3. ! [X0] : ((generous(X0) | funny(X0)) <=> (generous(X0) & brave(X0))) [input p2]
4. ! [X0] : (brave(X0) => ~happy(X0)) [input p3]
6. ? [X0] : generous(X0) =>... | 0 |
If mary is creative then mary is not old.
If john is not rich or happy then fred is both curious and tall.
Everyone who is both not humble and not creative is tall or rich.
Everyone who is not tall is either not patient or rich.
If someone is either not brave or old then someone is either kind or not quiet and vice ver... | Alice is not rich. | neutral | ((creative(mary))=>(~old(mary)))&
(((~rich(john)|happy(john)))=>((curious(fred)&tall(fred))))&
(![X]:((~humble(X)&~creative(X))=>(tall(X)|rich(X))))&
(![X]:(~tall(X)=>(~patient(X)<~>rich(X))))&
((?[X]:((~brave(X)<~>old(X))))<=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:((strong(X)&tall(X))=>(wise(X)|~funny(X))))&
(![X]:((t... | ~rich(alice) | [] | null | 0 |
If someone is both not old and not humble then someone is kind or creative.
Everyone who is both kind and not generous is either generous or not generous and vice versa.
Everyone who is wise is either not generous or old and vice versa.
Everyone who is brave or not curious is generous.
Everyone who is not patient or cr... | Paul is rich. | entailment | ((?[X]:((~old(X)&~humble(X))))=>(?[X]:((kind(X)|creative(X)))))&
(![X]:((kind(X)&~generous(X))<=>(generous(X)<~>~generous(X))))&
(![X]:(wise(X)<=>(~generous(X)<~>old(X))))&
(![X]:((brave(X)|~curious(X))=>generous(X)))&
(![X]:((~patient(X)|creative(X))=>(happy(X)<~>wise(X))))&
(![X]:(curious(X)<=>(~kind(X)<~>~quiet(X)))... | rich(paul) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3315198881542715100422238
% SZS output start Proof for 3315198881542715100422238
2. ! [X0] : ((~generous(X0) & kind(X0)) <=> (generous(X0) <~> ~generous(X0))) [input p1]
22. generous(paul) <~> rich(paul) [input p21]
23. ~rich(paul) [input hypothesis]
41. ! [X0] : (((~generous(X0) & kind(X... | 0 |
Everyone who is either happy or funny is wise and vice versa.
Everyone who is either not happy or not funny is generous and vice versa.
If paul is not quiet then fred is either not humble or not strong.
Everyone who is either not calm or quiet is either brave or not happy and vice versa.
Everyone who is not curious or ... | Lucy is not happy. | contradiction | (![X]:((happy(X)<~>funny(X))<=>wise(X)))&
(![X]:((~happy(X)<~>~funny(X))<=>generous(X)))&
((~quiet(paul))=>((~humble(fred)<~>~strong(fred))))&
(![X]:((~calm(X)<~>quiet(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~curious(X)|funny(X))=>(~tall(X)&calm(X))))&
((~strong(susan))<=>(?[X]:(generous(X))))&
(![X]:((~quiet(X)<~>~cal... | ~happy(lucy) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3911501662139282179347013
% SZS output start Proof for 3911501662139282179347013
1. ! [X0] : ((happy(X0) <~> funny(X0)) <=> wise(X0)) [input p0]
2. ! [X0] : ((~happy(X0) <~> ~funny(X0)) <=> generous(X0)) [input p1]
4. ! [X0] : ((~calm(X0) <~> quiet(X0)) <=> (brave(X0) <~> ~happy(X0))) [in... | 0 |
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