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 generous or rich is both not wise and not calm.
If susan is either rich or not curious then paul is both rich and kind and vice versa.
If someone is either creative or calm then john is both patient and not funny and vice versa.
Everyone who is not calm or not humble is not happy or generous and vice ve... | Mary is funny. | entailment | (![X]:((generous(X)|rich(X))=>(~wise(X)&~calm(X))))&
(((rich(susan)<~>~curious(susan)))<=>((rich(paul)&kind(paul))))&
((?[X]:((creative(X)<~>calm(X))))<=>((patient(john)&~funny(john))))&
(![X]:((~calm(X)|~humble(X))<=>(~happy(X)|generous(X))))&
(![X]:((generous(X)&~brave(X))<=>(~patient(X)|~quiet(X))))&
(![X]:(~quiet(X... | funny(mary) | [
"p0",
"p9",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 983274117568869970487606
% SZS output start Proof for 983274117568869970487606
1. ! [X0] : ((rich(X0) | generous(X0)) => (~calm(X0) & ~wise(X0))) [input p0]
10. ! [X0] : (~wise(X0) <=> funny(X0)) [input p9]
18. rich(mary) [input p17]
25. ~funny(mary) [input hypothesis]
28. ! [X0] : ((~cal... | 0 |
If fred is either humble or not tall then someone is not kind or not wise.
Everyone who is either tall or quiet is strong and vice versa.
Everyone who is either rich or not quiet is rich.
Everyone who is brave is both rich and not curious and vice versa.
Everyone who is both not calm and not quiet is not brave and vice... | Fred is not brave. | contradiction | (((humble(fred)<~>~tall(fred)))=>(?[X]:((~kind(X)|~wise(X)))))&
(![X]:((tall(X)<~>quiet(X))<=>strong(X)))&
(![X]:((rich(X)<~>~quiet(X))=>rich(X)))&
(![X]:(brave(X)<=>(rich(X)&~curious(X))))&
(![X]:((~calm(X)&~quiet(X))<=>~brave(X)))&
(![X]:((funny(X)|creative(X))<=>happy(X)))&
(((brave(susan)&~wise(susan)))<=>(?[X]:(~k... | ~brave(fred) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5616640406883451214658312
% SZS output start Proof for 5616640406883451214658312
5. ! [X0] : ((~quiet(X0) & ~calm(X0)) <=> ~brave(X0)) [input p4]
16. ! [X0] : ((~curious(X0) | ~calm(X0)) <=> brave(X0)) [input p15]
25. ~brave(fred) [input hypothesis]
54. ! [X0] : (((~quiet(X0) & ~calm(X0))... | 0 |
Everyone who is either not rich or curious is either humble or happy. If fred is either rich or not curious then someone is brave or quiet and vice versa. Everyone who is not strong or wise is brave and vice versa. If someone is not rich then fred is not calm. If someone is not tall then susan is not generous and vice ... | Alice is tall. | entailment | (![X]:((~rich(X)<~>curious(X))=>(humble(X)<~>happy(X))))&
(((rich(fred)<~>~curious(fred)))<=>(?[X]:((brave(X)|quiet(X)))))&
(![X]:((~strong(X)|wise(X))<=>brave(X)))&
((?[X]:(~rich(X)))=>(~calm(fred)))&
((?[X]:(~tall(X)))<=>(~generous(susan)))&
(![X]:(~rich(X)<=>old(X)))&
(![X]:((~quiet(X)&~tall(X))<=>strong(X)))&
((?[X... | tall(alice) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8122872564320425091130107
% SZS output start Proof for 8122872564320425091130107
10. ! [X0] : ((~humble(X0) | calm(X0)) <=> tall(X0)) [input p9]
20. kind(alice) & ~humble(alice) [input p19]
25. ~tall(alice) [input hypothesis]
57. ! [X0] : (((~humble(X0) | calm(X0)) | ~tall(X0)) & (tall(X0... | 0 |
Everyone who is not curious or not creative is both quiet and calm and vice versa.
Everyone who is either quiet or humble is tall and vice versa.
If someone is not curious then someone is either not calm or rich.
Everyone who is not calm or not creative is wise and vice versa.
Everyone who is not happy or not rich is b... | John is funny. | entailment | (![X]:((~curious(X)|~creative(X))<=>(quiet(X)&calm(X))))&
(![X]:((quiet(X)<~>humble(X))<=>tall(X)))&
((?[X]:(~curious(X)))=>(?[X]:((~calm(X)<~>rich(X)))))&
(![X]:((~calm(X)|~creative(X))<=>wise(X)))&
(![X]:((~happy(X)|~rich(X))<=>(wise(X)&funny(X))))&
((?[X]:((strong(X)|~strong(X))))<=>(?[X]:((kind(X)|~brave(X)))))&
(!... | funny(john) | [
"p0",
"p4",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8694393313785228509674602
% SZS output start Proof for 8694393313785228509674602
1. ! [X0] : ((~creative(X0) | ~curious(X0)) <=> (calm(X0) & quiet(X0))) [input p0]
5. ! [X0] : ((~rich(X0) | ~happy(X0)) <=> (funny(X0) & wise(X0))) [input p4]
10. ! [X0] : (~happy(X0) <=> (curious(X0) | ~cre... | 0 |
Everyone who is both not generous and kind is either calm or not creative. Everyone who is not happy is creative or not brave. Everyone who is either not calm or not strong is creative. Everyone who is both not old and funny is either strong or patient and vice versa. If someone is rich then fred is funny or not patien... | Paul is not funny. | entailment | (![X]:((~generous(X)&kind(X))=>(calm(X)<~>~creative(X))))&
(![X]:(~happy(X)=>(creative(X)|~brave(X))))&
(![X]:((~calm(X)<~>~strong(X))=>creative(X)))&
(![X]:((~old(X)&funny(X))<=>(strong(X)<~>patient(X))))&
((?[X]:(rich(X)))=>((funny(fred)|~patient(fred))))&
(![X]:(happy(X)<=>(wise(X)<~>~tall(X))))&
((?[X]:((tall(X)<~>... | ~funny(paul) | [
"p6",
"p8",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6050665751309990425281665
% SZS output start Proof for 6050665751309990425281665
7. ? [X0] : (tall(X0) <~> ~happy(X0)) => (~calm(paul) & ~funny(paul)) [input p6]
9. ! [X0] : ((rich(X0) | ~tall(X0)) <=> (~happy(X0) & ~old(X0))) [input p8]
19. ~tall(susan) & ~humble(susan) [input p18]
24. f... | 0 |
Everyone who is both creative and wise is not funny.
If mary is not rich or patient then someone is not generous or happy and vice versa.
If someone is rich then alice is old.
Everyone who is not humble or calm is not patient or tall and vice versa.
If someone is either not humble or not tall then someone is kind and v... | Fred is tall. | neutral | (![X]:((creative(X)&wise(X))=>~funny(X)))&
(((~rich(mary)|patient(mary)))<=>(?[X]:((~generous(X)|happy(X)))))&
((?[X]:(rich(X)))=>(old(alice)))&
(![X]:((~humble(X)|calm(X))<=>(~patient(X)|tall(X))))&
((?[X]:((~humble(X)<~>~tall(X))))<=>(?[X]:(kind(X))))&
((?[X]:((~rich(X)&~happy(X))))=>(?[X]:(kind(X))))&
(((~kind(mary)... | tall(fred) | [] | null | 0 |
Everyone who is either kind or not happy is both patient and quiet. Everyone who is not humble or funny is both not quiet and not humble. If someone is old or quiet then someone is generous or not wise. Everyone who is either creative or not happy is not calm and vice versa. Everyone who is both patient and not strong ... | Alice is happy. | neutral | (![X]:((kind(X)<~>~happy(X))=>(patient(X)&quiet(X))))&
(![X]:((~humble(X)|funny(X))=>(~quiet(X)&~humble(X))))&
((?[X]:((old(X)|quiet(X))))=>(?[X]:((generous(X)|~wise(X)))))&
(![X]:((creative(X)<~>~happy(X))<=>~calm(X)))&
(![X]:((patient(X)&~strong(X))=>(~wise(X)<~>brave(X))))&
((~happy(lucy))=>(?[X]:((~creative(X)|~cal... | happy(alice) | [] | null | 0 |
Everyone who is not generous is either generous or not wise and vice versa.
Everyone who is creative or rich is tall or not funny and vice versa.
If someone is not calm or not tall then lucy is both not strong and not old.
If someone is both patient and not curious then someone is creative or not quiet and vice versa.
... | Fred is calm. | neutral | (![X]:(~generous(X)<=>(generous(X)<~>~wise(X))))&
(![X]:((creative(X)|rich(X))<=>(tall(X)|~funny(X))))&
((?[X]:((~calm(X)|~tall(X))))=>((~strong(lucy)&~old(lucy))))&
((?[X]:((patient(X)&~curious(X))))<=>(?[X]:((creative(X)|~quiet(X)))))&
(![X]:(calm(X)<=>(~calm(X)<~>~patient(X))))&
(![X]:((~tall(X)<~>tall(X))<=>(~creat... | calm(fred) | [] | null | 0 |
If someone is either not curious or not old then someone is not wise or not humble. Everyone who is either not rich or funny is wise and vice versa. If john is either not patient or not rich then mary is strong. If alice is both patient and not patient then susan is either not humble or not brave and vice versa. If mar... | Susan is not brave. | contradiction | ((?[X]:((~curious(X)<~>~old(X))))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((~rich(X)<~>funny(X))<=>wise(X)))&
(((~patient(john)<~>~rich(john)))=>(strong(mary)))&
(((patient(alice)&~patient(alice)))<=>((~humble(susan)<~>~brave(susan))))&
((~wise(mary))<=>(?[X]:((old(X)&calm(X)))))&
(![X]:((~wise(X)&~curious(X))<=>(~old(... | ~brave(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3746058431359513148760538
% SZS output start Proof for 3746058431359513148760538
9. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> (~tall(X0) & brave(X0))) [input p8]
24. ~brave(susan) [input hypothesis]
51. ! [X0] : (((~brave(X0) | ~tall(X0)) | (tall(X0) | ~brave(X0))) & ((~tall(X0) & brave(X0))... | 0 |
If someone is both curious and generous then someone is either not humble or wise and vice versa.
Everyone who is either not creative or not tall is creative and vice versa.
If someone is humble or not generous then someone is both strong and not wise and vice versa.
Everyone who is generous is calm or not old and vice... | Lucy is wise. | contradiction | ((?[X]:((curious(X)&generous(X))))<=>(?[X]:((~humble(X)<~>wise(X)))))&
(![X]:((~creative(X)<~>~tall(X))<=>creative(X)))&
((?[X]:((humble(X)|~generous(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:(generous(X)<=>(calm(X)|~old(X))))&
(![X]:((~wise(X)&~curious(X))<=>quiet(X)))&
(![X]:((rich(X)&happy(X))=>(wise(X)|old(X)))... | wise(lucy) | [
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5142701539915261951834956
% SZS output start Proof for 5142701539915261951834956
5. ! [X0] : ((~curious(X0) & ~wise(X0)) <=> quiet(X0)) [input p4]
11. ! [X0] : ((~creative(X0) | calm(X0)) <=> (creative(X0) & ~generous(X0))) [input p10]
14. ! [X0] : (~creative(X0) <=> ~quiet(X0)) [input p1... | 0 |
Everyone who is both tall and generous is both old and not tall and vice versa.
If fred is not patient then someone is either not happy or calm.
Everyone who is both funny and not happy is patient or old.
Everyone who is either rich or brave is not brave or not patient and vice versa.
Everyone who is both not calm and ... | Paul is not tall. | neutral | (![X]:((tall(X)&generous(X))<=>(old(X)&~tall(X))))&
((~patient(fred))=>(?[X]:((~happy(X)<~>calm(X)))))&
(![X]:((funny(X)&~happy(X))=>(patient(X)|old(X))))&
(![X]:((rich(X)<~>brave(X))<=>(~brave(X)|~patient(X))))&
(![X]:((~calm(X)&creative(X))<=>~generous(X)))&
(![X]:((~strong(X)&quiet(X))=>(~wise(X)&patient(X))))&
(![X... | ~tall(paul) | [] | null | 0 |
If someone is not funny or not quiet then mary is either happy or brave and vice versa. If someone is creative then paul is both not old and kind and vice versa. Everyone who is brave is either not creative or brave and vice versa. Everyone who is both not brave and not kind is not funny. Everyone who is either not tal... | Lucy is not creative. | contradiction | ((?[X]:((~funny(X)|~quiet(X))))<=>((happy(mary)<~>brave(mary))))&
((?[X]:(creative(X)))<=>((~old(paul)&kind(paul))))&
(![X]:(brave(X)<=>(~creative(X)<~>brave(X))))&
(![X]:((~brave(X)&~kind(X))=>~funny(X)))&
(![X]:((~tall(X)<~>~brave(X))=>(strong(X)|~creative(X))))&
(((quiet(alice)|funny(alice)))<=>(?[X]:((~quiet(X)<~>q... | ~creative(lucy) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2352900041532278605454048
% SZS output start Proof for 2352900041532278605454048
3. ! [X0] : (brave(X0) <=> (~creative(X0) <~> brave(X0))) [input p2]
22. ~creative(lucy) [input hypothesis]
42. ! [X0] : ((brave(X0) | ((~creative(X0) | ~brave(X0)) & (brave(X0) | creative(X0)))) & (((~brave(... | 0 |
If john is creative then paul is not brave or kind and vice versa.
If someone is either old or generous then susan is either calm or patient and vice versa.
Everyone who is not rich or not old is old or kind.
Everyone who is not generous is happy or generous and vice versa.
If someone is either not wise or not generous... | John is happy. | entailment | ((creative(john))<=>((~brave(paul)|kind(paul))))&
((?[X]:((old(X)<~>generous(X))))<=>((calm(susan)<~>patient(susan))))&
(![X]:((~rich(X)|~old(X))=>(old(X)|kind(X))))&
(![X]:(~generous(X)<=>(happy(X)|generous(X))))&
((?[X]:((~wise(X)<~>~generous(X))))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((humble(X)|tall(X))<=>(ta... | happy(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2601657321140103618538
% SZS output start Proof for 2601657321140103618538
4. ! [X0] : (~generous(X0) <=> (generous(X0) | happy(X0))) [input p3]
23. ~happy(john) [input hypothesis]
37. ! [X0] : ((~generous(X0) | (~generous(X0) & ~happy(X0))) & ((generous(X0) | happy(X0)) | generous(X0))) ... | 0 |
If someone is not old then someone is both quiet and happy and vice versa.
If susan is both not tall and calm then alice is either brave or generous and vice versa.
Everyone who is either not curious or kind is creative or not patient and vice versa.
If susan is either generous or not kind then alice is not calm and vi... | Lucy is not humble. | entailment | ((?[X]:(~old(X)))<=>(?[X]:((quiet(X)&happy(X)))))&
(((~tall(susan)&calm(susan)))<=>((brave(alice)<~>generous(alice))))&
(![X]:((~curious(X)<~>kind(X))<=>(creative(X)|~patient(X))))&
(((generous(susan)<~>~kind(susan)))<=>(~calm(alice)))&
(![X]:((brave(X)&~old(X))<=>(~wise(X)<~>wise(X))))&
(![X]:((kind(X)&~rich(X))=>(~ki... | ~humble(lucy) | [
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 153407481265557550182117
% SZS output start Proof for 153407481265557550182117
5. ! [X0] : ((~old(X0) & brave(X0)) <=> (~wise(X0) <~> wise(X0))) [input p4]
8. (patient(lucy) & calm(lucy)) <=> (~calm(lucy) & humble(lucy)) [input p7]
10. ? [X0] : (calm(X0) | ~kind(X0)) => old(alice) [input ... | 0 |
Everyone who is both generous and not creative is not wise and vice versa.
Everyone who is both not wise and not brave is either calm or not generous.
Everyone who is not brave is both humble and kind and vice versa.
Everyone who is funny or humble is either quiet or not generous.
If mary is both kind and strong then s... | Susan is generous. | entailment | (![X]:((generous(X)&~creative(X))<=>~wise(X)))&
(![X]:((~wise(X)&~brave(X))=>(calm(X)<~>~generous(X))))&
(![X]:(~brave(X)<=>(humble(X)&kind(X))))&
(![X]:((funny(X)|humble(X))=>(quiet(X)<~>~generous(X))))&
(((kind(mary)&strong(mary)))<=>(?[X]:((quiet(X)&~quiet(X)))))&
(![X]:((tall(X)&calm(X))<=>(~happy(X)<~>~creative(X)... | generous(susan) | [
"p0",
"p2",
"p6",
"p7",
"p8",
"p9",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 177543115800571247288049
% SZS output start Proof for 177543115800571247288049
1. ! [X0] : ((~creative(X0) & generous(X0)) <=> ~wise(X0)) [input p0]
3. ! [X0] : (~brave(X0) <=> (kind(X0) & humble(X0))) [input p2]
7. (strong(susan) <~> old(susan)) <=> ? [X0] : (brave(X0) | ~curious(X0)) [i... | 0 |
Everyone who is kind or funny is both not strong and not quiet and vice versa.
Everyone who is patient or not brave is wise or not kind and vice versa.
Everyone who is either calm or curious is both not kind and not happy.
Everyone who is generous or not generous is not tall.
Everyone who is not quiet is creative.
Ever... | Paul is not old. | contradiction | (![X]:((kind(X)|funny(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((patient(X)|~brave(X))<=>(wise(X)|~kind(X))))&
(![X]:((calm(X)<~>curious(X))=>(~kind(X)&~happy(X))))&
(![X]:((generous(X)|~generous(X))=>~tall(X)))&
(![X]:(~quiet(X)=>creative(X)))&
(![X]:(strong(X)<=>(~kind(X)<~>creative(X))))&
((?[X]:((~quiet(X)&strong(X)))... | ~old(paul) | [
"p0",
"p4",
"p5",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8095897429335290855655823
% SZS output start Proof for 8095897429335290855655823
1. ! [X0] : ((funny(X0) | kind(X0)) <=> (~quiet(X0) & ~strong(X0))) [input p0]
5. ! [X0] : (~quiet(X0) => creative(X0)) [input p4]
6. ! [X0] : (strong(X0) <=> (~kind(X0) <~> creative(X0))) [input p5]
7. ? [X0... | 0 |
Everyone who is funny is not humble or wise and vice versa.
Everyone who is creative or kind is both quiet and strong and vice versa.
Everyone who is both old and not humble is not wise and vice versa.
If someone is both creative and not kind then paul is old or brave and vice versa.
If fred is both not rich and old th... | Susan is not quiet. | neutral | (![X]:(funny(X)<=>(~humble(X)|wise(X))))&
(![X]:((creative(X)|kind(X))<=>(quiet(X)&strong(X))))&
(![X]:((old(X)&~humble(X))<=>~wise(X)))&
((?[X]:((creative(X)&~kind(X))))<=>((old(paul)|brave(paul))))&
(((~rich(fred)&old(fred)))=>((old(paul)&funny(paul))))&
(![X]:((~patient(X)&strong(X))=>(quiet(X)&~wise(X))))&
(((curio... | ~quiet(susan) | [] | null | 0 |
If someone is both kind and calm then lucy is both not creative and not wise. If fred is both happy and not curious then alice is both generous and not creative and vice versa. If someone is rich or not brave then someone is not tall and vice versa. If someone is not funny or quiet then someone is not quiet. If someone... | Mary is not kind. | entailment | ((?[X]:((kind(X)&calm(X))))=>((~creative(lucy)&~wise(lucy))))&
(((happy(fred)&~curious(fred)))<=>((generous(alice)&~creative(alice))))&
((?[X]:((rich(X)|~brave(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((~funny(X)|quiet(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(~old(X)))=>((generous(mary)<~>brave(mary))))&
(![X]:(~curious(X)=>(~gen... | ~kind(mary) | [
"p4",
"p7",
"p10",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 869032734437023321442232
% SZS output start Proof for 869032734437023321442232
5. ? [X0] : ~old(X0) => (generous(mary) <~> brave(mary)) [input p4]
8. ! [X0] : (patient(X0) <=> creative(X0)) [input p7]
11. ! [X0] : ((~calm(X0) | wise(X0)) <=> (patient(X0) & ~kind(X0))) [input p10]
13. ! [X... | 0 |
Everyone who is either not tall or humble is either not creative or not kind and vice versa. If someone is quiet then someone is not calm. If someone is both not humble and creative then lucy is quiet or not tall. Everyone who is either happy or generous is both not creative and quiet. Everyone who is both generous and... | Lucy is generous. | contradiction | (![X]:((~tall(X)<~>humble(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:(~calm(X))))&
((?[X]:((~humble(X)&creative(X))))=>((quiet(lucy)|~tall(lucy))))&
(![X]:((happy(X)<~>generous(X))=>(~creative(X)&quiet(X))))&
(![X]:((generous(X)&~quiet(X))<=>(happy(X)&calm(X))))&
((?[X]:((brave(X)|creative(X))))<=>((~... | generous(lucy) | [
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2975142610593912632654801
% SZS output start Proof for 2975142610593912632654801
9. ! [X0] : (~tall(X0) => (tall(X0) & wise(X0))) [input p8]
10. ! [X0] : (~generous(X0) <=> (tall(X0) | ~wise(X0))) [input p9]
24. generous(lucy) [input hypothesis]
32. ! [X0] : ((tall(X0) & wise(X0)) | tall(... | 0 |
Everyone who is quiet is not tall or not happy.
Everyone who is both not brave and calm is both not wise and curious.
Everyone who is rich or not creative is both not calm and funny.
Everyone who is either not generous or humble is either calm or tall.
Everyone who is kind is not brave and vice versa.
If someone is not... | Susan is not quiet. | neutral | (![X]:(quiet(X)=>(~tall(X)|~happy(X))))&
(![X]:((~brave(X)&calm(X))=>(~wise(X)&curious(X))))&
(![X]:((rich(X)|~creative(X))=>(~calm(X)&funny(X))))&
(![X]:((~generous(X)<~>humble(X))=>(calm(X)<~>tall(X))))&
(![X]:(kind(X)<=>~brave(X)))&
((?[X]:((~humble(X)|creative(X))))<=>((old(fred)&brave(fred))))&
((?[X]:((~brave(X)<... | ~quiet(susan) | [] | null | 0 |
If someone is not humble then john is not funny or kind and vice versa.
Everyone who is patient is curious and vice versa.
If someone is either not kind or strong then mary is both curious and strong and vice versa.
Everyone who is both not brave and not quiet is both not curious and not happy and vice versa.
If alice ... | Lucy is patient. | neutral | ((?[X]:(~humble(X)))<=>((~funny(john)|kind(john))))&
(![X]:(patient(X)<=>curious(X)))&
((?[X]:((~kind(X)<~>strong(X))))<=>((curious(mary)&strong(mary))))&
(![X]:((~brave(X)&~quiet(X))<=>(~curious(X)&~happy(X))))&
((old(alice))=>(?[X]:((tall(X)&strong(X)))))&
(((humble(alice)|patient(alice)))<=>(?[X]:((~patient(X)|creat... | patient(lucy) | [] | null | 0 |
If someone is kind or generous then someone is both not humble and wise and vice versa.
If alice is wise then someone is old.
Everyone who is not patient or patient is both not brave and quiet and vice versa.
Everyone who is either not quiet or not brave is not happy.
If alice is either strong or happy then alice is fu... | Lucy is old. | entailment | ((?[X]:((kind(X)|generous(X))))<=>(?[X]:((~humble(X)&wise(X)))))&
((wise(alice))=>(?[X]:(old(X))))&
(![X]:((~patient(X)|patient(X))<=>(~brave(X)&quiet(X))))&
(![X]:((~quiet(X)<~>~brave(X))=>~happy(X)))&
(((strong(alice)<~>happy(alice)))=>(funny(alice)))&
(![X]:((~brave(X)<~>tall(X))<=>funny(X)))&
(![X]:((old(X)|humble(... | old(lucy) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4705043526391093593101854
% SZS output start Proof for 4705043526391093593101854
3. ! [X0] : ((patient(X0) | ~patient(X0)) <=> (quiet(X0) & ~brave(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) <~> ~brave(X0)) => ~happy(X0)) [input p3]
6. ! [X0] : ((~brave(X0) <~> tall(X0)) <=> funny(X0)) [inp... | 0 |
Everyone who is not old or not humble is not curious and vice versa. Everyone who is both calm and not quiet is either not brave or rich. Everyone who is both not generous and not wise is quiet and vice versa. Everyone who is patient is either funny or tall. If someone is either quiet or not curious then someone is bot... | Lucy is kind. | contradiction | (![X]:((~old(X)|~humble(X))<=>~curious(X)))&
(![X]:((calm(X)&~quiet(X))=>(~brave(X)<~>rich(X))))&
(![X]:((~generous(X)&~wise(X))<=>quiet(X)))&
(![X]:(patient(X)=>(funny(X)<~>tall(X))))&
((?[X]:((quiet(X)<~>~curious(X))))<=>(?[X]:((~curious(X)&~strong(X)))))&
(((creative(mary)|quiet(mary)))<=>(brave(fred)))&
(![X]:((~br... | kind(lucy) | [
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8948498882581176917337629
% SZS output start Proof for 8948498882581176917337629
14. ! [X0] : (~funny(X0) <=> ~rich(X0)) [input p13]
16. ! [X0] : ((~kind(X0) & humble(X0)) <=> ~funny(X0)) [input p15]
21. ~patient(lucy) & ~rich(lucy) [input p20]
25. kind(lucy) [input hypothesis]
56. ! [X0]... | 0 |
If mary is generous then someone is not wise or calm and vice versa.
If someone is humble then lucy is patient and vice versa.
If susan is both rich and not old then susan is happy or strong and vice versa.
If susan is generous then someone is not tall or not patient.
Everyone who is both generous and strong is both no... | Fred is curious. | entailment | ((generous(mary))<=>(?[X]:((~wise(X)|calm(X)))))&
((?[X]:(humble(X)))<=>(patient(lucy)))&
(((rich(susan)&~old(susan)))<=>((happy(susan)|strong(susan))))&
((generous(susan))=>(?[X]:((~tall(X)|~patient(X)))))&
(![X]:((generous(X)&strong(X))<=>(~happy(X)&brave(X))))&
((?[X]:((~tall(X)&~old(X))))<=>(?[X]:(~patient(X))))&
(... | curious(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6468892600197182314726927
% SZS output start Proof for 6468892600197182314726927
16. ! [X0] : ((~tall(X0) | tall(X0)) <=> (curious(X0) & ~quiet(X0))) [input p15]
25. ~curious(fred) [input hypothesis]
70. ! [X0] : (((~tall(X0) | tall(X0)) | (~curious(X0) | quiet(X0))) & ((curious(X0) & ~qu... | 0 |
If someone is not rich or calm then someone is both not brave and humble. Everyone who is tall is brave. Everyone who is happy is both not brave and not patient and vice versa. If someone is humble or quiet then someone is not patient and vice versa. Everyone who is either not strong or quiet is strong or not generous ... | Alice is creative. | neutral | ((?[X]:((~rich(X)|calm(X))))=>(?[X]:((~brave(X)&humble(X)))))&
(![X]:(tall(X)=>brave(X)))&
(![X]:(happy(X)<=>(~brave(X)&~patient(X))))&
((?[X]:((humble(X)|quiet(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~strong(X)<~>quiet(X))<=>(strong(X)|~generous(X))))&
(((brave(fred)&creative(fred)))<=>(~kind(susan)))&
(((~generous(ali... | creative(alice) | [] | null | 0 |
Everyone who is either generous or humble is not generous. If someone is either patient or quiet then john is calm or not kind. If someone is rich or not generous then lucy is both not tall and calm. If someone is either not happy or not funny then someone is both not curious and not brave. If someone is both not happy... | Susan is not generous. | contradiction | (![X]:((generous(X)<~>humble(X))=>~generous(X)))&
((?[X]:((patient(X)<~>quiet(X))))=>((calm(john)|~kind(john))))&
((?[X]:((rich(X)|~generous(X))))=>((~tall(lucy)&calm(lucy))))&
((?[X]:((~happy(X)<~>~funny(X))))=>(?[X]:((~curious(X)&~brave(X)))))&
((?[X]:((~happy(X)&~rich(X))))=>(?[X]:((~strong(X)|~funny(X)))))&
(![X]:(... | ~generous(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3136103800976537421806054
% SZS output start Proof for 3136103800976537421806054
11. ! [X0] : ((old(X0) <~> ~old(X0)) <=> generous(X0)) [input p10]
24. ~generous(susan) [input hypothesis]
56. ! [X0] : ((((old(X0) | ~old(X0)) & (~old(X0) | old(X0))) | ~generous(X0)) & (generous(X0) | ((old... | 0 |
Everyone who is either not wise or not happy is patient. Everyone who is kind or not strong is both old and not funny and vice versa. Everyone who is both not tall and not curious is both not strong and not funny and vice versa. Everyone who is old or wise is not creative. If someone is funny or brave then someone is n... | Paul is happy. | neutral | (![X]:((~wise(X)<~>~happy(X))=>patient(X)))&
(![X]:((kind(X)|~strong(X))<=>(old(X)&~funny(X))))&
(![X]:((~tall(X)&~curious(X))<=>(~strong(X)&~funny(X))))&
(![X]:((old(X)|wise(X))=>~creative(X)))&
((?[X]:((funny(X)|brave(X))))=>(?[X]:((~kind(X)|~creative(X)))))&
((~strong(mary))<=>(?[X]:((old(X)<~>~tall(X)))))&
(((patie... | happy(paul) | [] | null | 0 |
Everyone who is either not kind or not patient is either not rich or calm and vice versa.
Everyone who is not calm is brave.
If someone is not brave or not creative then mary is quiet.
Everyone who is kind or not wise is either not funny or old.
Everyone who is not kind or quiet is not humble or wise and vice versa.
Ev... | John is not patient. | neutral | (![X]:((~kind(X)<~>~patient(X))<=>(~rich(X)<~>calm(X))))&
(![X]:(~calm(X)=>brave(X)))&
((?[X]:((~brave(X)|~creative(X))))=>(quiet(mary)))&
(![X]:((kind(X)|~wise(X))=>(~funny(X)<~>old(X))))&
(![X]:((~kind(X)|quiet(X))<=>(~humble(X)|wise(X))))&
(![X]:((~humble(X)<~>~kind(X))<=>(~tall(X)<~>wise(X))))&
(![X]:((~happy(X)|cu... | ~patient(john) | [] | null | 0 |
If paul is either tall or not quiet then someone is not old.
If someone is both humble and not creative then someone is wise.
If someone is calm or not brave then lucy is both calm and strong.
If john is kind or not generous then someone is both patient and not brave and vice versa.
If someone is not quiet then someone... | Susan is kind. | neutral | (((tall(paul)<~>~quiet(paul)))=>(?[X]:(~old(X))))&
((?[X]:((humble(X)&~creative(X))))=>(?[X]:(wise(X))))&
((?[X]:((calm(X)|~brave(X))))=>((calm(lucy)&strong(lucy))))&
(((kind(john)|~generous(john)))<=>(?[X]:((patient(X)&~brave(X)))))&
((?[X]:(~quiet(X)))=>(?[X]:((~wise(X)&~kind(X)))))&
(![X]:((~happy(X)<~>~calm(X))=>ta... | kind(susan) | [] | null | 0 |
Everyone who is either not rich or quiet is not strong or wise and vice versa. If someone is either not quiet or kind then paul is both not quiet and not kind. Everyone who is not brave or not patient is not patient. Everyone who is not kind is both not patient and quiet and vice versa. If someone is not funny or not t... | Mary is quiet. | entailment | (![X]:((~rich(X)<~>quiet(X))<=>(~strong(X)|wise(X))))&
((?[X]:((~quiet(X)<~>kind(X))))=>((~quiet(paul)&~kind(paul))))&
(![X]:((~brave(X)|~patient(X))=>~patient(X)))&
(![X]:(~kind(X)<=>(~patient(X)&quiet(X))))&
((?[X]:((~funny(X)|~tall(X))))<=>((humble(alice)|creative(alice))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(~calm(X)... | quiet(mary) | [
"p2",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5837332930266466133387002
% SZS output start Proof for 5837332930266466133387002
3. ! [X0] : ((~patient(X0) | ~brave(X0)) => ~patient(X0)) [input p2]
6. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~calm(X0) <~> patient(X0))) [input p5]
11. ! [X0] : ((~tall(X0) | quiet(X0)) <=> (brave(X0) | ... | 0 |
If someone is not rich or not patient then paul is both patient and not quiet.
Everyone who is both not kind and patient is not creative and vice versa.
Everyone who is not old is both calm and not brave and vice versa.
Everyone who is old or not rich is patient.
If someone is not funny then paul is either funny or not... | Susan is creative. | contradiction | ((?[X]:((~rich(X)|~patient(X))))=>((patient(paul)&~quiet(paul))))&
(![X]:((~kind(X)&patient(X))<=>~creative(X)))&
(![X]:(~old(X)<=>(calm(X)&~brave(X))))&
(![X]:((old(X)|~rich(X))=>patient(X)))&
((?[X]:(~funny(X)))<=>((funny(paul)<~>~creative(paul))))&
(((~calm(susan)<~>brave(susan)))<=>(?[X]:((rich(X)|humble(X)))))&
((... | creative(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4546570206534201864892371
% SZS output start Proof for 4546570206534201864892371
21. ~creative(susan) [input p20]
23. creative(susan) [input hypothesis]
138. ~creative(susan) [cnf transformation 21]
141. creative(susan) [cnf transformation 23]
299. $false [subsumption resolution 141,138]
... | 0 |
If susan is generous then mary is kind.
If susan is either not brave or humble then fred is either not wise or not rich and vice versa.
Everyone who is either not funny or wise is both old and not happy.
Everyone who is calm or not humble is humble and vice versa.
If mary is either not happy or curious then someone is ... | Fred is not kind. | entailment | ((generous(susan))=>(kind(mary)))&
(((~brave(susan)<~>humble(susan)))<=>((~wise(fred)<~>~rich(fred))))&
(![X]:((~funny(X)<~>wise(X))=>(old(X)&~happy(X))))&
(![X]:((calm(X)|~humble(X))<=>humble(X)))&
(((~happy(mary)<~>curious(mary)))<=>(?[X]:((~creative(X)&funny(X)))))&
((brave(alice))<=>(?[X]:((~tall(X)<~>~happy(X)))))... | ~kind(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3855073556543118355744762
% SZS output start Proof for 3855073556543118355744762
16. ! [X0] : (kind(X0) <=> (quiet(X0) & ~quiet(X0))) [input p15]
23. kind(fred) [input hypothesis]
66. ! [X0] : ((kind(X0) | (~quiet(X0) | quiet(X0))) & ((quiet(X0) & ~quiet(X0)) | ~kind(X0))) [nnf transforma... | 0 |
If paul is both not tall and patient then someone is either not creative or curious and vice versa. Everyone who is not humble is either not creative or old and vice versa. Everyone who is both calm and not patient is patient or funny and vice versa. Everyone who is wise is either not kind or not humble and vice versa.... | Fred is creative. | entailment | (((~tall(paul)&patient(paul)))<=>(?[X]:((~creative(X)<~>curious(X)))))&
(![X]:(~humble(X)<=>(~creative(X)<~>old(X))))&
(![X]:((calm(X)&~patient(X))<=>(patient(X)|funny(X))))&
(![X]:(wise(X)<=>(~kind(X)<~>~humble(X))))&
(![X]:((patient(X)&creative(X))<=>(~tall(X)|wise(X))))&
(((quiet(fred)&calm(fred)))=>(?[X]:(patient(X... | creative(fred) | [
"p0",
"p1",
"p2",
"p4",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3159230779148911893793841
% SZS output start Proof for 3159230779148911893793841
1. (patient(paul) & ~tall(paul)) <=> ? [X0] : (~creative(X0) <~> curious(X0)) [input p0]
2. ! [X0] : (~humble(X0) <=> (~creative(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~patient(X0) & calm(X0)) <=> (funny(... | 0 |
If someone is both calm and not strong then alice is patient and vice versa. Everyone who is brave or not humble is both not humble and not curious and vice versa. Everyone who is both not generous and not wise is not brave. Everyone who is either not quiet or not kind is both creative and rich and vice versa. Everyone... | John is curious. | contradiction | ((?[X]:((calm(X)&~strong(X))))<=>(patient(alice)))&
(![X]:((brave(X)|~humble(X))<=>(~humble(X)&~curious(X))))&
(![X]:((~generous(X)&~wise(X))=>~brave(X)))&
(![X]:((~quiet(X)<~>~kind(X))<=>(creative(X)&rich(X))))&
(![X]:((~humble(X)<~>~creative(X))<=>(funny(X)|quiet(X))))&
(((~creative(john)&~curious(john)))<=>(?[X]:((~... | curious(john) | [
"p5",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 196804372901251726352627
% SZS output start Proof for 196804372901251726352627
6. (~curious(john) & ~creative(john)) <=> ? [X0] : (old(X0) | ~generous(X0)) [input p5]
11. ? [X0] : (~humble(X0) & rich(X0)) <=> ? [X0] : (~calm(X0) | ~curious(X0)) [input p10]
13. ! [X0] : (~humble(X0) => (ol... | 0 |
Everyone who is not brave is not patient or tall and vice versa.
Everyone who is either not humble or not funny is creative or not humble and vice versa.
Everyone who is either not strong or not rich is not creative or not calm and vice versa.
If paul is not old or old then someone is both not rich and old.
If mary is ... | Alice is not generous. | entailment | (![X]:(~brave(X)<=>(~patient(X)|tall(X))))&
(![X]:((~humble(X)<~>~funny(X))<=>(creative(X)|~humble(X))))&
(![X]:((~strong(X)<~>~rich(X))<=>(~creative(X)|~calm(X))))&
(((~old(paul)|old(paul)))=>(?[X]:((~rich(X)&old(X)))))&
((funny(mary))=>(?[X]:((~generous(X)&calm(X)))))&
((?[X]:((~rich(X)<~>~calm(X))))=>(?[X]:((tall(X)... | ~generous(alice) | [
"p8",
"p10",
"p13",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5471719057552688443915346
% SZS output start Proof for 5471719057552688443915346
9. ! [X0] : ((wise(X0) | funny(X0)) => quiet(X0)) [input p8]
11. ! [X0] : ((strong(X0) | ~wise(X0)) => (~strong(X0) | ~generous(X0))) [input p10]
14. ! [X0] : ((~humble(X0) | quiet(X0)) => (~generous(X0) | ~c... | 0 |
Everyone who is both generous and not brave is either not rich or not quiet and vice versa.
Everyone who is either quiet or kind is not strong or not creative and vice versa.
If lucy is not patient or not funny then someone is both tall and not quiet.
Everyone who is not calm or not patient is not kind or wise.
Everyon... | Alice is not kind. | entailment | (![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(~strong(X)|~creative(X))))&
(((~patient(lucy)|~funny(lucy)))=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~calm(X)|~patient(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(... | ~kind(alice) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8381435436446495169225826
% SZS output start Proof for 8381435436446495169225826
4. ! [X0] : ((~patient(X0) | ~calm(X0)) => (wise(X0) | ~kind(X0))) [input p3]
5. ! [X0] : ((humble(X0) | ~wise(X0)) <=> (tall(X0) | ~wise(X0))) [input p4]
6. ! [X0] : (~kind(X0) <=> (old(X0) | happy(X0))) [in... | 0 |
If someone is not brave then someone is calm and vice versa.
Everyone who is both patient and not kind is tall and vice versa.
If lucy is humble then someone is brave or not humble and vice versa.
Everyone who is both not funny and not kind is either not rich or brave and vice versa.
If someone is either rich or quiet ... | Susan is not creative. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:(calm(X))))&
(![X]:((patient(X)&~kind(X))<=>tall(X)))&
((humble(lucy))<=>(?[X]:((brave(X)|~humble(X)))))&
(![X]:((~funny(X)&~kind(X))<=>(~rich(X)<~>brave(X))))&
((?[X]:((rich(X)<~>quiet(X))))=>((~rich(mary)|curious(mary))))&
(((~quiet(susan)&generous(susan)))<=>(~calm(susan)))&
(((tall(lucy)... | ~creative(susan) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7495904712589312273894552
% SZS output start Proof for 7495904712589312273894552
2. ! [X0] : ((~kind(X0) & patient(X0)) <=> tall(X0)) [input p1]
7. (~patient(lucy) & tall(lucy)) <=> ? [X0] : (creative(X0) | rich(X0)) [input p6]
21. creative(susan) [input hypothesis]
34. ! [X0] : (((~kind(... | 0 |
Everyone who is patient or not calm is both not tall and not curious. Everyone who is either strong or wise is not wise or not kind and vice versa. If someone is calm then susan is both rich and wise. If someone is not calm then john is kind or quiet. Everyone who is either not humble or not strong is both tall and fun... | Paul is not curious. | entailment | (![X]:((patient(X)|~calm(X))=>(~tall(X)&~curious(X))))&
(![X]:((strong(X)<~>wise(X))<=>(~wise(X)|~kind(X))))&
((?[X]:(calm(X)))=>((rich(susan)&wise(susan))))&
((?[X]:(~calm(X)))=>((kind(john)|quiet(john))))&
(![X]:((~humble(X)<~>~strong(X))<=>(tall(X)&funny(X))))&
(((old(lucy)|generous(lucy)))<=>((~humble(mary)&strong(... | ~curious(paul) | [
"p0",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1861785460443250019471943
% SZS output start Proof for 1861785460443250019471943
1. ! [X0] : ((~calm(X0) | patient(X0)) => (~curious(X0) & ~tall(X0))) [input p0]
5. ! [X0] : ((~humble(X0) <~> ~strong(X0)) <=> (funny(X0) & tall(X0))) [input p4]
6. (generous(lucy) | old(lucy)) <=> (strong(m... | 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... | Paul is not brave. | contradiction | ((?[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... | ~brave(paul) | [
"p0",
"p2",
"p5",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7748700967134637375234144
% SZS output start Proof for 7748700967134637375234144
1. ? [X0] : (~brave(X0) | ~happy(X0)) => (~rich(susan) & calm(susan)) [input p0]
3. ? [X0] : (~generous(X0) & generous(X0)) <=> ? [X0] : kind(X0) [input p2]
6. tall(susan) <=> ? [X0] : (~happy(X0) | ~brave(X0... | 0 |
Everyone who is not patient is either generous or not curious.
If someone is both not funny and quiet then someone is either creative or not wise.
Everyone who is both not humble and not curious is either not patient or not humble and vice versa.
If lucy is not happy then someone is either not kind or not happy and vic... | Fred is happy. | entailment | (![X]:(~patient(X)=>(generous(X)<~>~curious(X))))&
((?[X]:((~funny(X)&quiet(X))))=>(?[X]:((creative(X)<~>~wise(X)))))&
(![X]:((~humble(X)&~curious(X))<=>(~patient(X)<~>~humble(X))))&
((~happy(lucy))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
(![X]:(patient(X)=>(rich(X)<~>brave(X))))&
((~kind(lucy))<=>((creative(paul)&patient(... | happy(fred) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7482349220951327217801818
% SZS output start Proof for 7482349220951327217801818
14. ! [X0] : (~brave(X0) => (strong(X0) & happy(X0))) [input p13]
17. happy(fred) <~> ~brave(fred) [input p16]
25. ~happy(fred) [input hypothesis]
36. ! [X0] : ((strong(X0) & happy(X0)) | brave(X0)) [ennf tra... | 0 |
If lucy is not calm or creative then someone is not curious. Everyone who is not quiet is either quiet or patient. Everyone who is both patient and quiet is wise or not happy and vice versa. Everyone who is kind is both brave and not funny. Everyone who is not tall or strong is either tall or not creative and vice vers... | Fred is not happy. | entailment | (((~calm(lucy)|creative(lucy)))=>(?[X]:(~curious(X))))&
(![X]:(~quiet(X)=>(quiet(X)<~>patient(X))))&
(![X]:((patient(X)&quiet(X))<=>(wise(X)|~happy(X))))&
(![X]:(kind(X)=>(brave(X)&~funny(X))))&
(![X]:((~tall(X)|strong(X))<=>(tall(X)<~>~creative(X))))&
((?[X]:((~wise(X)<~>~rich(X))))=>(strong(paul)))&
((~generous(fred)... | ~happy(fred) | [
"p2",
"p3",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4335336643161832338403933
% SZS output start Proof for 4335336643161832338403933
3. ! [X0] : ((quiet(X0) & patient(X0)) <=> (~happy(X0) | wise(X0))) [input p2]
4. ! [X0] : (kind(X0) => (~funny(X0) & brave(X0))) [input p3]
15. ! [X0] : ((kind(X0) & funny(X0)) <=> (~old(X0) <~> ~wise(X0))) ... | 0 |
If lucy is quiet or not rich then fred is strong and vice versa.
If lucy is either creative or brave then susan is humble.
If john is not curious or patient then someone is rich and vice versa.
Everyone who is not kind or not old is both not wise and happy.
If paul is funny or not creative then fred is either not brave... | Paul is not generous. | contradiction | (((quiet(lucy)|~rich(lucy)))<=>(strong(fred)))&
(((creative(lucy)<~>brave(lucy)))=>(humble(susan)))&
(((~curious(john)|patient(john)))<=>(?[X]:(rich(X))))&
(![X]:((~kind(X)|~old(X))=>(~wise(X)&happy(X))))&
(((funny(paul)|~creative(paul)))<=>((~brave(fred)<~>generous(fred))))&
(![X]:(brave(X)<=>(rich(X)|~calm(X))))&
(![... | ~generous(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7254084944845139703562167
% SZS output start Proof for 7254084944845139703562167
22. generous(paul) & ~old(paul) [input p21]
25. ~generous(paul) [input hypothesis]
125. generous(paul) [cnf transformation 22]
130. ~generous(paul) [cnf transformation 25]
216. 18 <=> generous(paul) [avatar d... | 0 |
If someone is strong or not old then someone is not old or generous and vice versa.
If susan is either not kind or strong then someone is either not wise or not old and vice versa.
Everyone who is not quiet or not patient is either calm or happy and vice versa.
If someone is either not funny or not rich then alice is b... | Alice is not tall. | contradiction | ((?[X]:((strong(X)|~old(X))))<=>(?[X]:((~old(X)|generous(X)))))&
(((~kind(susan)<~>strong(susan)))<=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((~quiet(X)|~patient(X))<=>(calm(X)<~>happy(X))))&
((?[X]:((~funny(X)<~>~rich(X))))=>((~rich(alice)&tall(alice))))&
(![X]:((~generous(X)|~funny(X))<=>(~brave(X)|~strong(X))))&
((?[X... | ~tall(alice) | [
"p3",
"p9",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4388473947957109057525720
% SZS output start Proof for 4388473947957109057525720
4. ? [X0] : (~funny(X0) <~> ~rich(X0)) => (tall(alice) & ~rich(alice)) [input p3]
10. ? [X0] : (old(X0) | patient(X0)) <=> ? [X0] : wise(X0) [input p9]
16. ! [X0] : ((old(X0) & ~wise(X0)) <=> (~rich(X0) <~> f... | 0 |
Everyone who is not strong or not wise is both funny and patient. Everyone who is both funny and not creative is not wise or not old and vice versa. If mary is creative then someone is not brave and vice versa. Everyone who is tall is both not happy and happy and vice versa. Everyone who is quiet is either not creative... | Susan is generous. | entailment | (![X]:((~strong(X)|~wise(X))=>(funny(X)&patient(X))))&
(![X]:((funny(X)&~creative(X))<=>(~wise(X)|~old(X))))&
((creative(mary))<=>(?[X]:(~brave(X))))&
(![X]:(tall(X)<=>(~happy(X)&happy(X))))&
(![X]:(quiet(X)=>(~creative(X)<~>patient(X))))&
(![X]:(~old(X)=>(~strong(X)<~>~happy(X))))&
(![X]:(~old(X)=>(happy(X)<~>humble(X... | generous(susan) | [
"p0",
"p4",
"p7",
"p8",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3631142941880965049649826
% SZS output start Proof for 3631142941880965049649826
1. ! [X0] : ((~wise(X0) | ~strong(X0)) => (patient(X0) & funny(X0))) [input p0]
5. ! [X0] : (quiet(X0) => (~creative(X0) <~> patient(X0))) [input p4]
8. ! [X0] : ((~rich(X0) | ~generous(X0)) <=> quiet(X0)) [i... | 0 |
Everyone who is either calm or strong is calm or funny and vice versa.
If someone is either not rich or not strong then alice is both not funny and not rich.
If someone is either patient or not tall then fred is strong or funny.
Everyone who is not wise is happy and vice versa.
Everyone who is both not old and tall is ... | Fred is generous. | entailment | (![X]:((calm(X)<~>strong(X))<=>(calm(X)|funny(X))))&
((?[X]:((~rich(X)<~>~strong(X))))=>((~funny(alice)&~rich(alice))))&
((?[X]:((patient(X)<~>~tall(X))))=>((strong(fred)|funny(fred))))&
(![X]:(~wise(X)<=>happy(X)))&
(![X]:((~old(X)&tall(X))<=>(calm(X)<~>~old(X))))&
(![X]:((~curious(X)&calm(X))<=>~strong(X)))&
(![X]:(o... | generous(fred) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p7",
"p9",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3988745151974675853237164
% SZS output start Proof for 3988745151974675853237164
1. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (funny(X0) | calm(X0))) [input p0]
2. ? [X0] : (~rich(X0) <~> ~strong(X0)) => (~rich(alice) & ~funny(alice)) [input p1]
4. ! [X0] : (~wise(X0) <=> happy(X0)) [input ... | 0 |
Everyone who is brave or not wise is either creative or not old and vice versa. Everyone who is either not wise or not funny is both kind and creative. Everyone who is either funny or not wise is strong or humble and vice versa. Everyone who is quiet or funny is both humble and brave and vice versa. Everyone who is not... | Alice is funny. | contradiction | (![X]:((brave(X)|~wise(X))<=>(creative(X)<~>~old(X))))&
(![X]:((~wise(X)<~>~funny(X))=>(kind(X)&creative(X))))&
(![X]:((funny(X)<~>~wise(X))<=>(strong(X)|humble(X))))&
(![X]:((quiet(X)|funny(X))<=>(humble(X)&brave(X))))&
(![X]:(~patient(X)<=>(rich(X)|~tall(X))))&
((?[X]:((funny(X)&generous(X))))=>((strong(lucy)&~brave(... | funny(alice) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6070679037937213232524269
% SZS output start Proof for 6070679037937213232524269
1. ! [X0] : ((~wise(X0) | brave(X0)) <=> (creative(X0) <~> ~old(X0))) [input p0]
3. ! [X0] : ((funny(X0) <~> ~wise(X0)) <=> (humble(X0) | strong(X0))) [input p2]
4. ! [X0] : ((funny(X0) | quiet(X0)) <=> (brav... | 0 |
Everyone who is quiet or not curious is rich or not creative and vice versa.
If john is patient or not quiet then someone is both not creative and creative and vice versa.
If paul is both funny and generous then john is not old or not generous.
Everyone who is not humble is quiet or brave and vice versa.
Everyone who i... | John is not happy. | neutral | (![X]:((quiet(X)|~curious(X))<=>(rich(X)|~creative(X))))&
(((patient(john)|~quiet(john)))<=>(?[X]:((~creative(X)&creative(X)))))&
(((funny(paul)&generous(paul)))=>((~old(john)|~generous(john))))&
(![X]:(~humble(X)<=>(quiet(X)|brave(X))))&
(![X]:((curious(X)&quiet(X))<=>(~old(X)&~tall(X))))&
((?[X]:((happy(X)|strong(X))... | ~happy(john) | [] | null | 0 |
If alice is either not tall or not strong then someone is not old and vice versa.
Everyone who is both not tall and rich is both strong and not curious and vice versa.
Everyone who is both patient and not wise is kind.
Everyone who is either not strong or generous is either not creative or not happy and vice versa.
If ... | Susan is humble. | neutral | (((~tall(alice)<~>~strong(alice)))<=>(?[X]:(~old(X))))&
(![X]:((~tall(X)&rich(X))<=>(strong(X)&~curious(X))))&
(![X]:((patient(X)&~wise(X))=>kind(X)))&
(![X]:((~strong(X)<~>generous(X))<=>(~creative(X)<~>~happy(X))))&
((?[X]:((strong(X)|~tall(X))))<=>((~quiet(fred)|tall(fred))))&
((?[X]:((~funny(X)&generous(X))))<=>((f... | humble(susan) | [] | null | 0 |
If john is either not curious or not humble then someone is either happy or not creative and vice versa.
Everyone who is either not funny or old is happy or not kind.
If john is both rich and brave then someone is either not strong or happy.
If someone is not old then fred is either calm or not kind and vice versa.
Eve... | Fred is not funny. | entailment | (((~curious(john)<~>~humble(john)))<=>(?[X]:((happy(X)<~>~creative(X)))))&
(![X]:((~funny(X)<~>old(X))=>(happy(X)|~kind(X))))&
(((rich(john)&brave(john)))=>(?[X]:((~strong(X)<~>happy(X)))))&
((?[X]:(~old(X)))<=>((calm(fred)<~>~kind(fred))))&
(![X]:(~kind(X)=>~wise(X)))&
(![X]:((patient(X)&strong(X))<=>(~happy(X)&genero... | ~funny(fred) | [
"p3",
"p4",
"p9",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2737206431779572789153857
% SZS output start Proof for 2737206431779572789153857
4. ? [X0] : ~old(X0) <=> (calm(fred) <~> ~kind(fred)) [input p3]
5. ! [X0] : (~kind(X0) => ~wise(X0)) [input p4]
10. ! [X0] : (funny(X0) => (wise(X0) & old(X0))) [input p9]
14. ! [X0] : ((~humble(X0) | humble... | 0 |
Everyone who is quiet or not kind is not strong and vice versa. If susan is not curious or not tall then fred is brave or not generous and vice versa. Everyone who is both not happy and curious is curious or not creative and vice versa. If someone is both old and funny then someone is both rich and curious. Everyone wh... | Susan is curious. | entailment | (![X]:((quiet(X)|~kind(X))<=>~strong(X)))&
(((~curious(susan)|~tall(susan)))<=>((brave(fred)|~generous(fred))))&
(![X]:((~happy(X)&curious(X))<=>(curious(X)|~creative(X))))&
((?[X]:((old(X)&funny(X))))=>(?[X]:((rich(X)&curious(X)))))&
(![X]:((~patient(X)|~humble(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((~wise(X)|~patien... | curious(susan) | [
"p4",
"p5",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4326592882313967243510413
% SZS output start Proof for 4326592882313967243510413
5. ! [X0] : ((~humble(X0) | ~patient(X0)) <=> (curious(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (quiet(X0) & wise(X0))) [input p5]
13. ! [X0] : ((~creative(X0) & ~wise(X0)) <... | 0 |
Everyone who is creative or not strong is both funny and generous. Everyone who is not curious is not old and vice versa. If john is humble then someone is both not kind and rich. Everyone who is both kind and not humble is both not happy and not curious and vice versa. Everyone who is both calm and curious is both not... | John is not humble. | entailment | (![X]:((creative(X)|~strong(X))=>(funny(X)&generous(X))))&
(![X]:(~curious(X)<=>~old(X)))&
((humble(john))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:((kind(X)&~humble(X))<=>(~happy(X)&~curious(X))))&
(![X]:((calm(X)&curious(X))<=>(~kind(X)&humble(X))))&
(![X]:((rich(X)|~creative(X))=>creative(X)))&
(((old(alice)&creative(al... | ~humble(john) | [
"p0",
"p3",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1177369625046242699790073
% SZS output start Proof for 1177369625046242699790073
1. ! [X0] : ((~strong(X0) | creative(X0)) => (generous(X0) & funny(X0))) [input p0]
4. ! [X0] : ((~humble(X0) & kind(X0)) <=> (~curious(X0) & ~happy(X0))) [input p3]
5. ! [X0] : ((curious(X0) & calm(X0)) <=> ... | 0 |
Everyone who is either not creative or not curious is generous and vice versa. Everyone who is both not patient and not happy is not brave or not rich and vice versa. If someone is both strong and not old then susan is both rich and not patient and vice versa. Everyone who is either not generous or not kind is not old.... | Fred is strong. | neutral | (![X]:((~creative(X)<~>~curious(X))<=>generous(X)))&
(![X]:((~patient(X)&~happy(X))<=>(~brave(X)|~rich(X))))&
((?[X]:((strong(X)&~old(X))))<=>((rich(susan)&~patient(susan))))&
(![X]:((~generous(X)<~>~kind(X))=>~old(X)))&
(![X]:(~brave(X)=>(~tall(X)&~old(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~patient(X)|happy(X)))))&
(![X... | strong(fred) | [] | null | 0 |
Everyone who is not calm or not curious is tall or not tall.
Everyone who is either not old or humble is either humble or calm.
If someone is both not tall and not curious then susan is both not strong and happy.
If fred is not brave or not kind then someone is either tall or quiet.
Everyone who is not generous or not ... | Fred is kind. | neutral | (![X]:((~calm(X)|~curious(X))=>(tall(X)|~tall(X))))&
(![X]:((~old(X)<~>humble(X))=>(humble(X)<~>calm(X))))&
((?[X]:((~tall(X)&~curious(X))))=>((~strong(susan)&happy(susan))))&
(((~brave(fred)|~kind(fred)))=>(?[X]:((tall(X)<~>quiet(X)))))&
(![X]:((~generous(X)|~curious(X))<=>(creative(X)|~kind(X))))&
(![X]:((funny(X)|~q... | kind(fred) | [] | null | 0 |
If someone is both generous and kind then someone is both kind and not quiet. If someone is both not strong and curious then paul is wise and vice versa. Everyone who is not tall or not calm is generous or not curious and vice versa. Everyone who is either not curious or generous is either not happy or not funny. If lu... | Fred is not wise. | entailment | ((?[X]:((generous(X)&kind(X))))=>(?[X]:((kind(X)&~quiet(X)))))&
((?[X]:((~strong(X)&curious(X))))<=>(wise(paul)))&
(![X]:((~tall(X)|~calm(X))<=>(generous(X)|~curious(X))))&
(![X]:((~curious(X)<~>generous(X))=>(~happy(X)<~>~funny(X))))&
((rich(lucy))=>(funny(alice)))&
(![X]:(generous(X)<=>(~strong(X)|rich(X))))&
((?[X]:... | ~wise(fred) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7826004358968871560344657
% SZS output start Proof for 7826004358968871560344657
20. patient(fred) & ~wise(fred) [input p19]
24. wise(fred) [input hypothesis]
119. ~wise(fred) [cnf transformation 20]
126. wise(fred) [cnf transformation 24]
263. $false [subsumption resolution 126,119]
% SZ... | 0 |
If someone is either creative or not kind then someone is either not curious or quiet.
Everyone who is calm is either curious or calm and vice versa.
Everyone who is either not creative or not kind is both patient and humble and vice versa.
Everyone who is both not calm and not kind is both old and happy and vice versa... | Fred is strong. | neutral | ((?[X]:((creative(X)<~>~kind(X))))=>(?[X]:((~curious(X)<~>quiet(X)))))&
(![X]:(calm(X)<=>(curious(X)<~>calm(X))))&
(![X]:((~creative(X)<~>~kind(X))<=>(patient(X)&humble(X))))&
(![X]:((~calm(X)&~kind(X))<=>(old(X)&happy(X))))&
((strong(susan))=>(?[X]:(brave(X))))&
(![X]:((~funny(X)|strong(X))<=>(~tall(X)&brave(X))))&
((... | strong(fred) | [] | null | 0 |
Everyone who is not old is both creative and wise and vice versa. Everyone who is not patient is not calm and vice versa. If someone is either creative or brave then someone is kind or old and vice versa. Everyone who is not old is not creative and vice versa. If someone is both not quiet and not humble then someone is... | Lucy is old. | entailment | (![X]:(~old(X)<=>(creative(X)&wise(X))))&
(![X]:(~patient(X)<=>~calm(X)))&
((?[X]:((creative(X)<~>brave(X))))<=>(?[X]:((kind(X)|old(X)))))&
(![X]:(~old(X)<=>~creative(X)))&
((?[X]:((~quiet(X)&~humble(X))))<=>(?[X]:(humble(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((funny(X)|rich(X))<=>(~tall(X)|~c... | old(lucy) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 3706110669480227081688324
% SZS output start Proof for 3706110669480227081688324
1. ! [X0] : (~old(X0) <=> (wise(X0) & creative(X0))) [input p0]
4. ! [X0] : (~old(X0) <=> ~creative(X0)) [input p3]
22. ~old(lucy) [input hypothesis]
34. ! [X0] : ((~old(X0) | (~wise(X0) | ~creative(X0))) & (... | 0 |
If susan is either wise or humble then someone is not curious or brave.
Everyone who is both happy and funny is kind or not patient and vice versa.
Everyone who is either curious or rich is old or funny.
If someone is not strong then mary is both not funny and not happy.
If alice is not funny or funny then paul is not ... | Paul is not tall. | entailment | (((wise(susan)<~>humble(susan)))=>(?[X]:((~curious(X)|brave(X)))))&
(![X]:((happy(X)&funny(X))<=>(kind(X)|~patient(X))))&
(![X]:((curious(X)<~>rich(X))=>(old(X)|funny(X))))&
((?[X]:(~strong(X)))=>((~funny(mary)&~happy(mary))))&
(((~funny(alice)|funny(alice)))=>(~generous(paul)))&
(![X]:(~happy(X)<=>(tall(X)<~>~creative... | ~tall(paul) | [
"p1",
"p4",
"p5",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8710026537904499461452138
% SZS output start Proof for 8710026537904499461452138
2. ! [X0] : ((funny(X0) & happy(X0)) <=> (~patient(X0) | kind(X0))) [input p1]
5. (funny(alice) | ~funny(alice)) => ~generous(paul) [input p4]
6. ! [X0] : (~happy(X0) <=> (tall(X0) <~> ~creative(X0))) [input ... | 0 |
Everyone who is both creative and generous is both funny and creative and vice versa.
Everyone who is either not curious or old is not old.
Everyone who is brave is both calm and generous.
Everyone who is both kind and not creative is both not quiet and not rich and vice versa.
Everyone who is not strong is both genero... | Paul is funny. | neutral | (![X]:((creative(X)&generous(X))<=>(funny(X)&creative(X))))&
(![X]:((~curious(X)<~>old(X))=>~old(X)))&
(![X]:(brave(X)=>(calm(X)&generous(X))))&
(![X]:((kind(X)&~creative(X))<=>(~quiet(X)&~rich(X))))&
(![X]:(~strong(X)=>(generous(X)&~strong(X))))&
((?[X]:((old(X)|~kind(X))))<=>((~calm(lucy)|~wise(lucy))))&
(((strong(pa... | funny(paul) | [] | null | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and calm then someone is both kind and not brave.
Everyone who is not kind or kind is either calm or tall.
Everyone who is both creative and strong is quiet or patient and vice versa.
Everyone who is either quiet o... | Susan is creative. | neutral | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&calm(X))))=>(?[X]:((kind(X)&~brave(X)))))&
(![X]:((~kind(X)|kind(X))=>(calm(X)<~>tall(X))))&
(![X]:((creative(X)&strong(X))<=>(quiet(X)|patient(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~rich(X)|patient(X))))&
(![X]:((~tall(X)&funny(X))<=>(~old(X)|cu... | creative(susan) | [] | null | 0 |
Everyone who is not calm is not generous or patient and vice versa.
Everyone who is funny or not strong is both not generous and brave and vice versa.
Everyone who is either brave or not wise is both not patient and humble.
Everyone who is not wise or not old is not strong.
If susan is either not old or not generous th... | Susan is curious. | contradiction | (![X]:(~calm(X)<=>(~generous(X)|patient(X))))&
(![X]:((funny(X)|~strong(X))<=>(~generous(X)&brave(X))))&
(![X]:((brave(X)<~>~wise(X))=>(~patient(X)&humble(X))))&
(![X]:((~wise(X)|~old(X))=>~strong(X)))&
(((~old(susan)<~>~generous(susan)))<=>((calm(alice)<~>wise(alice))))&
(![X]:((generous(X)|~rich(X))<=>(~kind(X)<~>hap... | curious(susan) | [
"p1",
"p2",
"p3",
"p6",
"p8",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2606328986145491138469005
% SZS output start Proof for 2606328986145491138469005
2. ! [X0] : ((~strong(X0) | funny(X0)) <=> (brave(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((brave(X0) <~> ~wise(X0)) => (humble(X0) & ~patient(X0))) [input p2]
4. ! [X0] : ((~old(X0) | ~wise(X0)) => ~str... | 0 |
Everyone who is not patient is not rich and vice versa.
If mary is patient or not happy then someone is both not patient and patient and vice versa.
Everyone who is generous is rich.
If someone is happy then someone is both humble and not rich.
If someone is not patient or calm then alice is either not rich or not calm... | Alice is not strong. | entailment | (![X]:(~patient(X)<=>~rich(X)))&
(((patient(mary)|~happy(mary)))<=>(?[X]:((~patient(X)&patient(X)))))&
(![X]:(generous(X)=>rich(X)))&
((?[X]:(happy(X)))=>(?[X]:((humble(X)&~rich(X)))))&
((?[X]:((~patient(X)|calm(X))))=>((~rich(alice)<~>~calm(alice))))&
((?[X]:((generous(X)&~wise(X))))<=>(?[X]:((~strong(X)|strong(X)))))... | ~strong(alice) | [
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 946534684011364549609183
% SZS output start Proof for 946534684011364549609183
12. (creative(paul) | ~funny(paul)) <=> (~strong(alice) & ~curious(alice)) [input p11]
13. ! [X0] : ((wise(X0) | quiet(X0)) => (~funny(X0) | ~quiet(X0))) [input p12]
23. quiet(paul) <~> ~funny(paul) [input p22]... | 0 |
If someone is both rich and not funny then alice is either humble or not calm and vice versa.
Everyone who is not tall or patient is not brave or humble and vice versa.
If lucy is either not kind or not rich then susan is tall and vice versa.
If someone is not patient or quiet then someone is not happy or not brave and... | Susan is not happy. | neutral | ((?[X]:((rich(X)&~funny(X))))<=>((humble(alice)<~>~calm(alice))))&
(![X]:((~tall(X)|patient(X))<=>(~brave(X)|humble(X))))&
(((~kind(lucy)<~>~rich(lucy)))<=>(tall(susan)))&
((?[X]:((~patient(X)|quiet(X))))<=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(~happy(X)<=>(~brave(X)&~rich(X))))&
(![X]:((~old(X)|~kind(X))=>~strong(X)... | ~happy(susan) | [] | null | 0 |
Everyone who is not funny is not brave.
Everyone who is both not tall and happy is either not funny or generous and vice versa.
Everyone who is either not old or not strong is either curious or not rich and vice versa.
Everyone who is either not humble or patient is funny.
If fred is not humble or not kind then fred is... | Paul is not curious. | entailment | (![X]:(~funny(X)=>~brave(X)))&
(![X]:((~tall(X)&happy(X))<=>(~funny(X)<~>generous(X))))&
(![X]:((~old(X)<~>~strong(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((~humble(X)<~>patient(X))=>funny(X)))&
(((~humble(fred)|~kind(fred)))<=>((~rich(fred)|wise(fred))))&
((?[X]:((~old(X)&~tall(X))))<=>(~old(alice)))&
(((happy(paul)<~>... | ~curious(paul) | [
"p3",
"p7",
"p8",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4191862969487806737271986
% SZS output start Proof for 4191862969487806737271986
4. ! [X0] : ((~humble(X0) <~> patient(X0)) => funny(X0)) [input p3]
8. ! [X0] : ((~rich(X0) & generous(X0)) <=> (~generous(X0) <~> ~curious(X0))) [input p7]
9. (~generous(paul) <~> ~curious(paul)) <=> ? [X0] ... | 0 |
Everyone who is either not strong or old is both patient and generous and vice versa.
Everyone who is either strong or not rich is generous or brave.
Everyone who is patient is either not strong or quiet and vice versa.
If john is strong or wise then someone is old or not patient and vice versa.
If mary is not wise the... | Mary is not strong. | contradiction | (![X]:((~strong(X)<~>old(X))<=>(patient(X)&generous(X))))&
(![X]:((strong(X)<~>~rich(X))=>(generous(X)|brave(X))))&
(![X]:(patient(X)<=>(~strong(X)<~>quiet(X))))&
(((strong(john)|wise(john)))<=>(?[X]:((old(X)|~patient(X)))))&
((~wise(mary))<=>(~humble(mary)))&
(![X]:(~wise(X)=>(~tall(X)<~>~humble(X))))&
(![X]:((~old(X)... | ~strong(mary) | [
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 339187144628370973636212
% SZS output start Proof for 339187144628370973636212
8. ! [X0] : ((creative(X0) | strong(X0)) => (funny(X0) & ~quiet(X0))) [input p7]
13. ? [X0] : (~strong(X0) | rich(X0)) <=> (~funny(john) & strong(john)) [input p12]
22. ~strong(mary) [input hypothesis]
26. ! [X... | 0 |
Everyone who is funny or generous is both not quiet and curious and vice versa.
Everyone who is not wise is wise or not strong and vice versa.
Everyone who is not creative or strong is either strong or rich and vice versa.
Everyone who is happy or not kind is both not happy and quiet and vice versa.
Everyone who is eit... | Alice is strong. | contradiction | (![X]:((funny(X)|generous(X))<=>(~quiet(X)&curious(X))))&
(![X]:(~wise(X)<=>(wise(X)|~strong(X))))&
(![X]:((~creative(X)|strong(X))<=>(strong(X)<~>rich(X))))&
(![X]:((happy(X)|~kind(X))<=>(~happy(X)&quiet(X))))&
(![X]:((~old(X)<~>happy(X))=>(~funny(X)&~tall(X))))&
(![X]:((~kind(X)&funny(X))<=>(creative(X)&~tall(X))))&
... | strong(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 4607096616837779496299740
% SZS output start Proof for 4607096616837779496299740
2. ! [X0] : (~wise(X0) <=> (~strong(X0) | wise(X0))) [input p1]
20. strong(alice) [input hypothesis]
31. ! [X0] : ((~wise(X0) | (strong(X0) & ~wise(X0))) & ((~strong(X0) | wise(X0)) | wise(X0))) [nnf transfor... | 0 |
Everyone who is not quiet is not happy. If paul is not curious then someone is creative or not generous. If someone is either not wise or not curious then susan is quiet or kind. Everyone who is happy is not curious. If susan is humble then someone is not generous and vice versa. Everyone who is not wise is either not ... | John is brave. | neutral | (![X]:(~quiet(X)=>~happy(X)))&
((~curious(paul))=>(?[X]:((creative(X)|~generous(X)))))&
((?[X]:((~wise(X)<~>~curious(X))))=>((quiet(susan)|kind(susan))))&
(![X]:(happy(X)=>~curious(X)))&
((humble(susan))<=>(?[X]:(~generous(X))))&
(![X]:(~wise(X)=>(~kind(X)<~>generous(X))))&
(![X]:((calm(X)&~kind(X))<=>(rich(X)&kind(X))... | brave(john) | [] | null | 0 |
Everyone who is humble or not funny is not brave or curious. If someone is quiet then fred is not rich and vice versa. If someone is not happy then someone is rich or funny. Everyone who is patient or not brave is both curious and not wise and vice versa. Everyone who is either not funny or rich is rich or not patient.... | Mary is not wise. | entailment | (![X]:((humble(X)|~funny(X))=>(~brave(X)|curious(X))))&
((?[X]:(quiet(X)))<=>(~rich(fred)))&
((?[X]:(~happy(X)))=>(?[X]:((rich(X)|funny(X)))))&
(![X]:((patient(X)|~brave(X))<=>(curious(X)&~wise(X))))&
(![X]:((~funny(X)<~>rich(X))=>(rich(X)|~patient(X))))&
(![X]:((~happy(X)&~tall(X))<=>(kind(X)|~patient(X))))&
(![X]:((~... | ~wise(mary) | [
"p3",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7299847041557984564374670
% SZS output start Proof for 7299847041557984564374670
4. ! [X0] : ((~brave(X0) | patient(X0)) <=> (~wise(X0) & curious(X0))) [input p3]
6. ! [X0] : ((~tall(X0) & ~happy(X0)) <=> (~patient(X0) | kind(X0))) [input p5]
13. ! [X0] : ((generous(X0) & happy(X0)) <=> (... | 0 |
Everyone who is quiet is not funny.
If someone is either not quiet or generous then mary is both not brave and not creative and vice versa.
Everyone who is not kind is either not tall or not brave.
Everyone who is not wise is either funny or not happy.
Everyone who is both not humble and not kind is both not curious an... | John is not humble. | neutral | (![X]:(quiet(X)=>~funny(X)))&
((?[X]:((~quiet(X)<~>generous(X))))<=>((~brave(mary)&~creative(mary))))&
(![X]:(~kind(X)=>(~tall(X)<~>~brave(X))))&
(![X]:(~wise(X)=>(funny(X)<~>~happy(X))))&
(![X]:((~humble(X)&~kind(X))=>(~curious(X)&tall(X))))&
(![X]:((~old(X)|rich(X))<=>~quiet(X)))&
(((kind(fred)<~>~old(fred)))=>((quie... | ~humble(john) | [] | null | 0 |
If fred is old or quiet then someone is either not creative or not old and vice versa.
If paul is either rich or not curious then someone is both creative and not wise.
If john is not old or not creative then mary is not funny or happy and vice versa.
Everyone who is rich or curious is either not wise or creative and v... | Lucy is creative. | contradiction | (((old(fred)|quiet(fred)))<=>(?[X]:((~creative(X)<~>~old(X)))))&
(((rich(paul)<~>~curious(paul)))=>(?[X]:((creative(X)&~wise(X)))))&
(((~old(john)|~creative(john)))<=>((~funny(mary)|happy(mary))))&
(![X]:((rich(X)|curious(X))<=>(~wise(X)<~>creative(X))))&
(![X]:((~brave(X)|tall(X))=>(happy(X)&~happy(X))))&
(![X]:((stro... | creative(lucy) | [
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3643544346730368048565145
% SZS output start Proof for 3643544346730368048565145
12. ? [X0] : (curious(X0) | ~humble(X0)) => ~creative(lucy) [input p11]
13. ! [X0] : ((patient(X0) & ~humble(X0)) <=> (~curious(X0) | ~funny(X0))) [input p12]
16. ? [X0] : ~funny(X0) [input p15]
23. creative(... | 0 |
Everyone who is both humble and not happy is not old or old and vice versa. Everyone who is either calm or rich is tall or quiet. If paul is both not quiet and brave then mary is quiet. If susan is both not creative and rich then someone is both not rich and old and vice versa. If lucy is either not patient or not stro... | John is not humble. | contradiction | (![X]:((humble(X)&~happy(X))<=>(~old(X)|old(X))))&
(![X]:((calm(X)<~>rich(X))=>(tall(X)|quiet(X))))&
(((~quiet(paul)&brave(paul)))=>(quiet(mary)))&
(((~creative(susan)&rich(susan)))<=>(?[X]:((~rich(X)&old(X)))))&
(((~patient(lucy)<~>~strong(lucy)))=>(?[X]:((generous(X)&~happy(X)))))&
((?[X]:((~quiet(X)<~>~happy(X))))=>... | ~humble(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5739149897551827557451252
% SZS output start Proof for 5739149897551827557451252
1. ! [X0] : ((~happy(X0) & humble(X0)) <=> (old(X0) | ~old(X0))) [input p0]
23. ~humble(john) [input hypothesis]
35. ! [X0] : (((~happy(X0) & humble(X0)) | (~old(X0) & old(X0))) & ((old(X0) | ~old(X0)) | (hap... | 0 |
If mary is both calm and curious then someone is either not curious or patient.
Everyone who is both not old and patient is both humble and not calm and vice versa.
If lucy is either not patient or calm then someone is funny and vice versa.
Everyone who is creative or quiet is either old or tall and vice versa.
Everyon... | Lucy is not happy. | neutral | (((calm(mary)&curious(mary)))=>(?[X]:((~curious(X)<~>patient(X)))))&
(![X]:((~old(X)&patient(X))<=>(humble(X)&~calm(X))))&
(((~patient(lucy)<~>calm(lucy)))<=>(?[X]:(funny(X))))&
(![X]:((creative(X)|quiet(X))<=>(old(X)<~>tall(X))))&
(![X]:((~tall(X)&~calm(X))<=>generous(X)))&
(![X]:(~calm(X)<=>(tall(X)|wise(X))))&
(![X]... | ~happy(lucy) | [] | null | 0 |
Everyone who is both quiet and not kind is not humble or not brave.
Everyone who is not tall or not happy is either calm or tall and vice versa.
If someone is not generous then someone is not kind or patient.
Everyone who is both brave and not wise is creative and vice versa.
Everyone who is not generous is either not ... | Fred is tall. | neutral | (![X]:((quiet(X)&~kind(X))=>(~humble(X)|~brave(X))))&
(![X]:((~tall(X)|~happy(X))<=>(calm(X)<~>tall(X))))&
((?[X]:(~generous(X)))=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((brave(X)&~wise(X))<=>creative(X)))&
(![X]:(~generous(X)<=>(~humble(X)<~>tall(X))))&
(![X]:((creative(X)|patient(X))=>quiet(X)))&
(![X]:(patient(X)=>... | tall(fred) | [] | null | 0 |
If someone is either not kind or not humble then someone is both not funny and funny and vice versa.
If someone is either happy or wise then lucy is tall or not happy.
Everyone who is both curious and calm is both not tall and strong.
Everyone who is not wise or wise is both humble and brave and vice versa.
If someone ... | Paul is not creative. | neutral | ((?[X]:((~kind(X)<~>~humble(X))))<=>(?[X]:((~funny(X)&funny(X)))))&
((?[X]:((happy(X)<~>wise(X))))=>((tall(lucy)|~happy(lucy))))&
(![X]:((curious(X)&calm(X))=>(~tall(X)&strong(X))))&
(![X]:((~wise(X)|wise(X))<=>(humble(X)&brave(X))))&
((?[X]:(~wise(X)))<=>((~generous(lucy)<~>~happy(lucy))))&
(![X]:((old(X)|~old(X))=>(c... | ~creative(paul) | [] | null | 0 |
Everyone who is either curious or not tall is not tall. If someone is either old or not quiet then mary is either funny or not strong. Everyone who is both wise and creative is either not generous or not happy and vice versa. If someone is not strong then someone is creative or tall. Everyone who is either old or not b... | Susan is not quiet. | contradiction | (![X]:((curious(X)<~>~tall(X))=>~tall(X)))&
((?[X]:((old(X)<~>~quiet(X))))=>((funny(mary)<~>~strong(mary))))&
(![X]:((wise(X)&creative(X))<=>(~generous(X)<~>~happy(X))))&
((?[X]:(~strong(X)))=>(?[X]:((creative(X)|tall(X)))))&
(![X]:((old(X)<~>~brave(X))=>(~happy(X)&kind(X))))&
((?[X]:((wise(X)<~>curious(X))))=>(?[X]:((... | ~quiet(susan) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 200095900104670024286250
% SZS output start Proof for 200095900104670024286250
8. ! [X0] : (funny(X0) <=> (~quiet(X0) | ~rich(X0))) [input p7]
9. ! [X0] : ((patient(X0) & ~funny(X0)) <=> (generous(X0) | ~generous(X0))) [input p8]
22. ~quiet(susan) [input hypothesis]
51. ! [X0] : ((funny(X... | 0 |
If someone is both not tall and tall then alice is happy or generous and vice versa. If someone is both not curious and patient then someone is both old and not generous and vice versa. If john is both creative and kind then someone is not wise. If someone is strong or wise then john is either not humble or funny. Ever... | Alice is old. | contradiction | ((?[X]:((~tall(X)&tall(X))))<=>((happy(alice)|generous(alice))))&
((?[X]:((~curious(X)&patient(X))))<=>(?[X]:((old(X)&~generous(X)))))&
(((creative(john)&kind(john)))=>(?[X]:(~wise(X))))&
((?[X]:((strong(X)|wise(X))))=>((~humble(john)<~>funny(john))))&
(![X]:((humble(X)<~>kind(X))<=>(~curious(X)<~>~humble(X))))&
(![X]:... | old(alice) | [
"p0",
"p1",
"p4",
"p5",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4261800669534763646139883
% SZS output start Proof for 4261800669534763646139883
1. ? [X0] : (tall(X0) & ~tall(X0)) <=> (generous(alice) | happy(alice)) [input p0]
2. ? [X0] : (patient(X0) & ~curious(X0)) <=> ? [X0] : (~generous(X0) & old(X0)) [input p1]
5. ! [X0] : ((humble(X0) <~> kind(... | 0 |
If someone is curious then alice is not kind or patient and vice versa.
If mary is both not humble and not patient then mary is either not wise or brave and vice versa.
Everyone who is both humble and old is not tall or not humble.
If someone is not creative then someone is either tall or rich and vice versa.
If susan ... | John is not humble. | entailment | ((?[X]:(curious(X)))<=>((~kind(alice)|patient(alice))))&
(((~humble(mary)&~patient(mary)))<=>((~wise(mary)<~>brave(mary))))&
(![X]:((humble(X)&old(X))=>(~tall(X)|~humble(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((tall(X)<~>rich(X)))))&
((~old(susan))=>(?[X]:((~brave(X)&generous(X)))))&
((?[X]:((rich(X)&quiet(X))))<=>(?[X]... | ~humble(john) | [
"p2",
"p7",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2071349426747174532258745
% SZS output start Proof for 2071349426747174532258745
3. ! [X0] : ((old(X0) & humble(X0)) => (~humble(X0) | ~tall(X0))) [input p2]
8. ? [X0] : (funny(X0) | rich(X0)) <=> tall(john) [input p7]
10. ! [X0] : ((~kind(X0) | humble(X0)) <=> (humble(X0) <~> ~old(X0))) ... | 0 |
Everyone who is generous or happy is either curious or not patient.
If someone is brave then someone is not funny.
If someone is curious or happy then lucy is both not curious and rich and vice versa.
Everyone who is not strong or quiet is calm or strong.
Everyone who is not humble or calm is brave.
Everyone who is bra... | Fred is rich. | entailment | (![X]:((generous(X)|happy(X))=>(curious(X)<~>~patient(X))))&
((?[X]:(brave(X)))=>(?[X]:(~funny(X))))&
((?[X]:((curious(X)|happy(X))))<=>((~curious(lucy)&rich(lucy))))&
(![X]:((~strong(X)|quiet(X))=>(calm(X)|strong(X))))&
(![X]:((~humble(X)|calm(X))=>brave(X)))&
(![X]:((brave(X)|generous(X))<=>(kind(X)&~brave(X))))&
((?... | rich(fred) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5312793088149160939263730
% SZS output start Proof for 5312793088149160939263730
4. ! [X0] : ((quiet(X0) | ~strong(X0)) => (strong(X0) | calm(X0))) [input p3]
5. ! [X0] : ((calm(X0) | ~humble(X0)) => brave(X0)) [input p4]
6. ! [X0] : ((generous(X0) | brave(X0)) <=> (~brave(X0) & kind(X0))... | 0 |
Everyone who is not kind or not happy is not brave or not funny and vice versa. Everyone who is creative is both tall and not generous. If john is brave then lucy is humble. If someone is funny then john is either not rich or happy. Everyone who is strong or old is old or creative. Everyone who is not quiet or happy is... | Fred is not generous. | entailment | (![X]:((~kind(X)|~happy(X))<=>(~brave(X)|~funny(X))))&
(![X]:(creative(X)=>(tall(X)&~generous(X))))&
((brave(john))=>(humble(lucy)))&
((?[X]:(funny(X)))=>((~rich(john)<~>happy(john))))&
(![X]:((strong(X)|old(X))=>(old(X)|creative(X))))&
(![X]:((~quiet(X)|happy(X))=>(~happy(X)&generous(X))))&
(![X]:(old(X)<=>(generous(X... | ~generous(fred) | [
"p5",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6917073108771834594213824
% SZS output start Proof for 6917073108771834594213824
6. ! [X0] : ((happy(X0) | ~quiet(X0)) => (generous(X0) & ~happy(X0))) [input p5]
7. ! [X0] : (old(X0) <=> (generous(X0) <~> quiet(X0))) [input p6]
14. ! [X0] : ((~quiet(X0) | tall(X0)) <=> (~funny(X0) & quiet... | 0 |
Everyone who is quiet or not patient is creative.
If john is not patient then someone is both wise and not kind and vice versa.
If fred is not humble then someone is curious.
If alice is not patient then fred is either not strong or not quiet and vice versa.
Everyone who is strong or not rich is both creative and not p... | John is not creative. | entailment | (![X]:((quiet(X)|~patient(X))=>creative(X)))&
((~patient(john))<=>(?[X]:((wise(X)&~kind(X)))))&
((~humble(fred))=>(?[X]:(curious(X))))&
((~patient(alice))<=>((~strong(fred)<~>~quiet(fred))))&
(![X]:((strong(X)|~rich(X))=>(creative(X)&~patient(X))))&
(![X]:((~happy(X)&quiet(X))<=>(~old(X)<~>~happy(X))))&
(![X]:((funny(X... | ~creative(john) | [
"p4",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 9047279716345359593774009
% SZS output start Proof for 9047279716345359593774009
5. ! [X0] : ((~rich(X0) | strong(X0)) => (~patient(X0) & creative(X0))) [input p4]
6. ! [X0] : ((quiet(X0) & ~happy(X0)) <=> (~old(X0) <~> ~happy(X0))) [input p5]
7. ! [X0] : ((~creative(X0) & funny(X0)) <=> ... | 0 |
Everyone who is either not creative or not generous is rich and vice versa.
Everyone who is not brave or not strong is both not old and not wise and vice versa.
If someone is creative or patient then paul is brave and vice versa.
Everyone who is humble is both funny and not quiet.
Everyone who is funny is both happy an... | Mary is generous. | neutral | (![X]:((~creative(X)<~>~generous(X))<=>rich(X)))&
(![X]:((~brave(X)|~strong(X))<=>(~old(X)&~wise(X))))&
((?[X]:((creative(X)|patient(X))))<=>(brave(paul)))&
(![X]:(humble(X)=>(funny(X)&~quiet(X))))&
(![X]:(funny(X)<=>(happy(X)&~tall(X))))&
(![X]:((~calm(X)<~>~generous(X))<=>(~wise(X)<~>~rich(X))))&
(![X]:((~brave(X)<~>... | generous(mary) | [] | null | 0 |
Everyone who is not generous or not funny is either not calm or rich and vice versa.
If mary is either patient or quiet then someone is both not generous and tall and vice versa.
Everyone who is not curious or not funny is either not old or not quiet.
If someone is either calm or not brave then someone is both not calm... | Susan is kind. | neutral | (![X]:((~generous(X)|~funny(X))<=>(~calm(X)<~>rich(X))))&
(((patient(mary)<~>quiet(mary)))<=>(?[X]:((~generous(X)&tall(X)))))&
(![X]:((~curious(X)|~funny(X))=>(~old(X)<~>~quiet(X))))&
((?[X]:((calm(X)<~>~brave(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((quiet(X)&~kind(X))=>(~creative(X)&kind(X))))&
((?[X]:(~tall(X)... | kind(susan) | [] | null | 0 |
Everyone who is brave is either not generous or humble and vice versa.
Everyone who is either not calm or not curious is generous or not strong and vice versa.
Everyone who is either quiet or curious is both curious and happy and vice versa.
Everyone who is creative or not wise is brave.
Everyone who is not strong or n... | Susan is calm. | contradiction | (![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generous(X)|~strong(X))))&
(![X]:((quiet(X)<~>curious(X))<=>(curious(X)&happy(X))))&
(![X]:((creative(X)|~wise(X))=>brave(X)))&
(![X]:((~strong(X)|~generous(X))<=>strong(X)))&
((?[X]:((~wise(X)&~generous(X))))<=>((~rich(susan)<~>~kind(su... | calm(susan) | [
"p1",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2692753529526955988518113
% SZS output start Proof for 2692753529526955988518113
2. ! [X0] : ((~calm(X0) <~> ~curious(X0)) <=> (~strong(X0) | generous(X0))) [input p1]
5. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p4]
8. ? [X0] : (~funny(X0) & generous(X0)) <=> ? [X0] ... | 0 |
Everyone who is quiet or not quiet is not creative or kind and vice versa. Everyone who is both happy and not creative is not calm and vice versa. If john is both not patient and not strong then someone is either not happy or tall. If someone is both rich and old then susan is either funny or not tall. Everyone who is ... | Paul is not calm. | contradiction | (![X]:((quiet(X)|~quiet(X))<=>(~creative(X)|kind(X))))&
(![X]:((happy(X)&~creative(X))<=>~calm(X)))&
(((~patient(john)&~strong(john)))=>(?[X]:((~happy(X)<~>tall(X)))))&
((?[X]:((rich(X)&old(X))))=>((funny(susan)<~>~tall(susan))))&
(![X]:((generous(X)<~>rich(X))=>~creative(X)))&
(![X]:(~calm(X)<=>(tall(X)&~tall(X))))&
(... | ~calm(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5048997651351075755954977
% SZS output start Proof for 5048997651351075755954977
6. ! [X0] : (~calm(X0) <=> (~tall(X0) & tall(X0))) [input p5]
24. ~calm(paul) [input hypothesis]
50. ! [X0] : ((~calm(X0) | (tall(X0) | ~tall(X0))) & ((~tall(X0) & tall(X0)) | calm(X0))) [nnf transformation 6... | 0 |
Everyone who is either brave or kind is either not funny or generous and vice versa. If someone is not strong or not kind then fred is not generous or wise and vice versa. Everyone who is either calm or old is rich and vice versa. If someone is either calm or happy then someone is not tall and vice versa. If someone is... | Susan is calm. | neutral | (![X]:((brave(X)<~>kind(X))<=>(~funny(X)<~>generous(X))))&
((?[X]:((~strong(X)|~kind(X))))<=>((~generous(fred)|wise(fred))))&
(![X]:((calm(X)<~>old(X))<=>rich(X)))&
((?[X]:((calm(X)<~>happy(X))))<=>(?[X]:(~tall(X))))&
((?[X]:((humble(X)|calm(X))))=>((patient(mary)<~>~tall(mary))))&
((funny(alice))=>((~old(john)&~wise(j... | calm(susan) | [] | null | 0 |
Everyone who is not quiet is both not patient and not curious. Everyone who is either humble or generous is not funny and vice versa. Everyone who is not patient is both kind and rich and vice versa. Everyone who is either old or not happy is generous. If someone is both not quiet and not old then fred is wise or not p... | Alice is not humble. | contradiction | (![X]:(~quiet(X)=>(~patient(X)&~curious(X))))&
(![X]:((humble(X)<~>generous(X))<=>~funny(X)))&
(![X]:(~patient(X)<=>(kind(X)&rich(X))))&
(![X]:((old(X)<~>~happy(X))=>generous(X)))&
((?[X]:((~quiet(X)&~old(X))))<=>((wise(fred)|~patient(fred))))&
(![X]:((~old(X)&~curious(X))<=>~humble(X)))&
((?[X]:((wise(X)<~>~rich(X))))... | ~humble(alice) | [
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1679185341687531603201691
% SZS output start Proof for 1679185341687531603201691
6. ! [X0] : ((~curious(X0) & ~old(X0)) <=> ~humble(X0)) [input p5]
9. ! [X0] : ((~calm(X0) & humble(X0)) <=> ~curious(X0)) [input p8]
23. ~humble(alice) [input hypothesis]
43. ! [X0] : (((~curious(X0) & ~old(... | 0 |
Everyone who is either not quiet or brave is either not curious or generous. If someone is not old or not wise then fred is not humble and vice versa. Everyone who is not humble or creative is not wise or calm and vice versa. Everyone who is not rich or rich is creative or wise. If someone is wise then someone is happy... | Mary is not strong. | contradiction | (![X]:((~quiet(X)<~>brave(X))=>(~curious(X)<~>generous(X))))&
((?[X]:((~old(X)|~wise(X))))<=>(~humble(fred)))&
(![X]:((~humble(X)|creative(X))<=>(~wise(X)|calm(X))))&
(![X]:((~rich(X)|rich(X))=>(creative(X)|wise(X))))&
((?[X]:(wise(X)))=>(?[X]:(happy(X))))&
(![X]:(~strong(X)<=>(patient(X)&~creative(X))))&
(![X]:((wise(... | ~strong(mary) | [
"p2",
"p3",
"p5",
"p6",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5844999314248302696236996
% SZS output start Proof for 5844999314248302696236996
3. ! [X0] : ((creative(X0) | ~humble(X0)) <=> (calm(X0) | ~wise(X0))) [input p2]
4. ! [X0] : ((rich(X0) | ~rich(X0)) => (wise(X0) | creative(X0))) [input p3]
6. ! [X0] : (~strong(X0) <=> (~creative(X0) & pati... | 0 |
If someone is not old or tall then someone is both not kind and quiet.
If someone is creative then someone is either rich or not strong.
If alice is either not kind or not humble then someone is either tall or not old and vice versa.
Everyone who is both not old and not brave is rich or curious.
Everyone who is humble ... | Mary is funny. | entailment | ((?[X]:((~old(X)|tall(X))))=>(?[X]:((~kind(X)&quiet(X)))))&
((?[X]:(creative(X)))=>(?[X]:((rich(X)<~>~strong(X)))))&
(((~kind(alice)<~>~humble(alice)))<=>(?[X]:((tall(X)<~>~old(X)))))&
(![X]:((~old(X)&~brave(X))=>(rich(X)|curious(X))))&
(![X]:(humble(X)=>~rich(X)))&
(![X]:((~kind(X)|~old(X))<=>(calm(X)<~>~quiet(X))))&
... | funny(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9183290086059651303587027
% SZS output start Proof for 9183290086059651303587027
16. ! [X0] : ((~funny(X0) | ~old(X0)) => (~old(X0) & old(X0))) [input p15]
24. ~funny(mary) [input hypothesis]
39. ! [X0] : ((~old(X0) & old(X0)) | (funny(X0) & old(X0))) [ennf transformation 16]
128. old(X0)... | 0 |
If john is patient or not curious then mary is either not curious or not tall and vice versa.
If someone is not kind then susan is not happy.
If susan is not brave then someone is not funny or not kind.
If fred is either not funny or happy then someone is either curious or humble and vice versa.
If someone is not old o... | John is quiet. | entailment | (((patient(john)|~curious(john)))<=>((~curious(mary)<~>~tall(mary))))&
((?[X]:(~kind(X)))=>(~happy(susan)))&
((~brave(susan))=>(?[X]:((~funny(X)|~kind(X)))))&
(((~funny(fred)<~>happy(fred)))<=>(?[X]:((curious(X)<~>humble(X)))))&
((?[X]:((~old(X)|strong(X))))=>((~creative(alice)&~calm(alice))))&
((quiet(alice))<=>(?[X]:... | quiet(john) | [
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1083411086844935249257369
% SZS output start Proof for 1083411086844935249257369
12. ! [X0] : ((~patient(X0) | ~quiet(X0)) => (~quiet(X0) <~> ~old(X0))) [input p11]
16. ! [X0] : ((~humble(X0) & ~quiet(X0)) => (~old(X0) | quiet(X0))) [input p15]
17. ~wise(john) & ~humble(john) [input p16]
... | 0 |
If someone is both rich and curious then someone is not brave or not patient and vice versa.
If someone is both not patient and rich then fred is not rich.
If someone is either generous or not wise then lucy is kind.
Everyone who is old or curious is humble or funny and vice versa.
If someone is not patient or quiet th... | Paul is not generous. | neutral | ((?[X]:((rich(X)&curious(X))))<=>(?[X]:((~brave(X)|~patient(X)))))&
((?[X]:((~patient(X)&rich(X))))=>(~rich(fred)))&
((?[X]:((generous(X)<~>~wise(X))))=>(kind(lucy)))&
(![X]:((old(X)|curious(X))<=>(humble(X)|funny(X))))&
((?[X]:((~patient(X)|quiet(X))))<=>(?[X]:((calm(X)&~humble(X)))))&
((?[X]:((~generous(X)|patient(X)... | ~generous(paul) | [] | null | 0 |
Everyone who is generous or humble is either kind or wise and vice versa.
If someone is both quiet and tall then susan is either not rich or generous and vice versa.
Everyone who is not brave is old and vice versa.
If mary is both humble and not humble then john is old and vice versa.
Everyone who is not quiet is eithe... | Mary is not humble. | neutral | (![X]:((generous(X)|humble(X))<=>(kind(X)<~>wise(X))))&
((?[X]:((quiet(X)&tall(X))))<=>((~rich(susan)<~>generous(susan))))&
(![X]:(~brave(X)<=>old(X)))&
(((humble(mary)&~humble(mary)))<=>(old(john)))&
(![X]:(~quiet(X)<=>(~funny(X)<~>~kind(X))))&
((?[X]:((~patient(X)&funny(X))))<=>((~humble(paul)<~>brave(paul))))&
(![X]... | ~humble(mary) | [] | null | 0 |
Everyone who is both not happy and not curious is not tall and vice versa.
Everyone who is old is either humble or not wise.
If someone is not kind then john is both rich and not curious and vice versa.
If someone is calm or not calm then lucy is both creative and not generous and vice versa.
If someone is not generous... | Susan is not kind. | contradiction | (![X]:((~happy(X)&~curious(X))<=>~tall(X)))&
(![X]:(old(X)=>(humble(X)<~>~wise(X))))&
((?[X]:(~kind(X)))<=>((rich(john)&~curious(john))))&
((?[X]:((calm(X)|~calm(X))))<=>((creative(lucy)&~generous(lucy))))&
((?[X]:((~generous(X)|~curious(X))))<=>(~wise(fred)))&
(![X]:((~calm(X)<~>~happy(X))<=>~calm(X)))&
((?[X]:(~curio... | ~kind(susan) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4714256007729459950947059
% SZS output start Proof for 4714256007729459950947059
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> ~tall(X0)) [input p0]
3. ? [X0] : ~kind(X0) <=> (~curious(john) & rich(john)) [input p2]
6. ! [X0] : ((~calm(X0) <~> ~happy(X0)) <=> ~calm(X0)) [input p5]
8. ! [X0... | 0 |
Everyone who is either not generous or calm is either creative or not rich and vice versa. Everyone who is both old and not humble is not old and vice versa. If paul is either not rich or calm then someone is both patient and not calm and vice versa. Everyone who is both not humble and not quiet is both tall and humble... | Mary is strong. | neutral | (![X]:((~generous(X)<~>calm(X))<=>(creative(X)<~>~rich(X))))&
(![X]:((old(X)&~humble(X))<=>~old(X)))&
(((~rich(paul)<~>calm(paul)))<=>(?[X]:((patient(X)&~calm(X)))))&
(![X]:((~humble(X)&~quiet(X))<=>(tall(X)&humble(X))))&
(![X]:((humble(X)|generous(X))<=>(~strong(X)|~rich(X))))&
((?[X]:((~quiet(X)|~generous(X))))=>((~c... | strong(mary) | [] | null | 0 |
Everyone who is either wise or not creative is not happy or curious.
Everyone who is both old and not quiet is not kind or generous.
Everyone who is either kind or old is old.
Everyone who is either not strong or patient is tall or not quiet.
Everyone who is both not quiet and not kind is happy.
If john is either not c... | Lucy is brave. | contradiction | (![X]:((wise(X)<~>~creative(X))=>(~happy(X)|curious(X))))&
(![X]:((old(X)&~quiet(X))=>(~kind(X)|generous(X))))&
(![X]:((kind(X)<~>old(X))=>old(X)))&
(![X]:((~strong(X)<~>patient(X))=>(tall(X)|~quiet(X))))&
(![X]:((~quiet(X)&~kind(X))=>happy(X)))&
(((~calm(john)<~>tall(john)))<=>((~humble(fred)&~patient(fred))))&
((~ric... | brave(lucy) | [
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3870253222068288393454216
% SZS output start Proof for 3870253222068288393454216
8. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~strong(X0) | ~patient(X0))) [input p7]
11. ! [X0] : ((~curious(X0) | curious(X0)) => (~strong(X0) & ~patient(X0))) [input p10]
24. brave(lucy) [input hypothesis]
3... | 0 |
If mary is both not curious and kind then someone is both quiet and not tall and vice versa.
Everyone who is both not tall and not curious is both not brave and curious and vice versa.
Everyone who is either brave or generous is both brave and curious and vice versa.
Everyone who is either not rich or strong is either ... | Mary is rich. | neutral | (((~curious(mary)&kind(mary)))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~tall(X)&~curious(X))<=>(~brave(X)&curious(X))))&
(![X]:((brave(X)<~>generous(X))<=>(brave(X)&curious(X))))&
(![X]:((~rich(X)<~>strong(X))<=>(strong(X)<~>brave(X))))&
((?[X]:((~old(X)|generous(X))))<=>(?[X]:((~kind(X)&calm(X)))))&
((?[X]:((~creativ... | rich(mary) | [] | null | 0 |
Everyone who is not generous or humble is either not brave or not generous. Everyone who is not old or not rich is either not funny or generous. If someone is generous or not funny then someone is not old or not tall and vice versa. If someone is either not humble or not strong then someone is either not happy or calm.... | Paul is quiet. | entailment | (![X]:((~generous(X)|humble(X))=>(~brave(X)<~>~generous(X))))&
(![X]:((~old(X)|~rich(X))=>(~funny(X)<~>generous(X))))&
((?[X]:((generous(X)|~funny(X))))<=>(?[X]:((~old(X)|~tall(X)))))&
((?[X]:((~humble(X)<~>~strong(X))))=>(?[X]:((~happy(X)<~>calm(X)))))&
(((~rich(lucy)&rich(lucy)))<=>(?[X]:((~old(X)|~tall(X)))))&
(![X]... | quiet(paul) | [
"p2",
"p4",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1189208677857373653889175
% SZS output start Proof for 1189208677857373653889175
3. ? [X0] : (~funny(X0) | generous(X0)) <=> ? [X0] : (~tall(X0) | ~old(X0)) [input p2]
5. (rich(lucy) & ~rich(lucy)) <=> ? [X0] : (~tall(X0) | ~old(X0)) [input p4]
11. ? [X0] : (patient(X0) | curious(X0)) => ... | 0 |
If paul is not calm or old then someone is not happy or curious. If susan is not generous or quiet then someone is either happy or creative. Everyone who is funny or creative is not generous or not happy. Everyone who is generous is both patient and funny. If mary is not rich or strong then paul is both patient and not... | Mary is not funny. | neutral | (((~calm(paul)|old(paul)))=>(?[X]:((~happy(X)|curious(X)))))&
(((~generous(susan)|quiet(susan)))=>(?[X]:((happy(X)<~>creative(X)))))&
(![X]:((funny(X)|creative(X))=>(~generous(X)|~happy(X))))&
(![X]:(generous(X)=>(patient(X)&funny(X))))&
(((~rich(mary)|strong(mary)))<=>((patient(paul)&~old(paul))))&
(((~humble(lucy)<~>... | ~funny(mary) | [] | null | 0 |
If someone is curious or generous then mary is not wise and vice versa.
If paul is old or calm then alice is both wise and funny.
Everyone who is happy or patient is not old or creative.
If someone is happy or strong then lucy is either strong or rich and vice versa.
Everyone who is both not tall and rich is both not b... | Lucy is strong. | neutral | ((?[X]:((curious(X)|generous(X))))<=>(~wise(mary)))&
(((old(paul)|calm(paul)))=>((wise(alice)&funny(alice))))&
(![X]:((happy(X)|patient(X))=>(~old(X)|creative(X))))&
((?[X]:((happy(X)|strong(X))))<=>((strong(lucy)<~>rich(lucy))))&
(![X]:((~tall(X)&rich(X))=>(~brave(X)&tall(X))))&
(![X]:(~patient(X)=>(brave(X)&humble(X)... | strong(lucy) | [] | null | 0 |
Everyone who is kind is old. If someone is humble then lucy is not quiet or not old and vice versa. If someone is not tall then lucy is both wise and not tall. If lucy is either not old or not strong then paul is not happy. If susan is wise then someone is happy or wise. Everyone who is both not old and old is kind or ... | Fred is funny. | contradiction | (![X]:(kind(X)=>old(X)))&
((?[X]:(humble(X)))<=>((~quiet(lucy)|~old(lucy))))&
((?[X]:(~tall(X)))=>((wise(lucy)&~tall(lucy))))&
(((~old(lucy)<~>~strong(lucy)))=>(~happy(paul)))&
((wise(susan))=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((~old(X)&old(X))<=>(kind(X)|wise(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(patient(X)<~>~... | funny(fred) | [
"p0",
"p5",
"p7",
"p8",
"p9",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 115871609493200847188549
% SZS output start Proof for 115871609493200847188549
1. ! [X0] : (kind(X0) => old(X0)) [input p0]
6. ! [X0] : ((old(X0) & ~old(X0)) <=> (wise(X0) | kind(X0))) [input p5]
8. ! [X0] : ((calm(X0) <~> generous(X0)) <=> (kind(X0) | ~calm(X0))) [input p7]
9. ? [X0] : (... | 0 |
Everyone who is either wise or generous is rich. Everyone who is generous or calm is either quiet or wise and vice versa. Everyone who is both not patient and brave is either creative or kind. Everyone who is not patient or rich is curious or quiet. If someone is either not patient or not quiet then susan is curious or... | Fred is calm. | contradiction | (![X]:((wise(X)<~>generous(X))=>rich(X)))&
(![X]:((generous(X)|calm(X))<=>(quiet(X)<~>wise(X))))&
(![X]:((~patient(X)&brave(X))=>(creative(X)<~>kind(X))))&
(![X]:((~patient(X)|rich(X))=>(curious(X)|quiet(X))))&
((?[X]:((~patient(X)<~>~quiet(X))))=>((curious(susan)|funny(susan))))&
(![X]:((rich(X)<~>quiet(X))=>(rich(X)<... | calm(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2774157517060689331251084
% SZS output start Proof for 2774157517060689331251084
17. ~calm(fred) [input p16]
24. calm(fred) [input hypothesis]
137. ~calm(fred) [cnf transformation 17]
145. calm(fred) [cnf transformation 24]
352. $false [subsumption resolution 145,137]
% SZS output end Pro... | 0 |
Everyone who is happy is rich or calm.
If someone is not curious or not humble then someone is both not old and not happy.
Everyone who is either curious or not happy is both not kind and creative and vice versa.
If john is not tall or not quiet then someone is curious and vice versa.
Everyone who is not quiet or tall ... | John is curious. | contradiction | (![X]:(happy(X)=>(rich(X)|calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>(?[X]:((~old(X)&~happy(X)))))&
(![X]:((curious(X)<~>~happy(X))<=>(~kind(X)&creative(X))))&
(((~tall(john)|~quiet(john)))<=>(?[X]:(curious(X))))&
(![X]:((~quiet(X)|tall(X))<=>(happy(X)&~rich(X))))&
(![X]:((happy(X)|patient(X))=>~generous(X)))&
(![... | curious(john) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2427330696752842140237777
% SZS output start Proof for 2427330696752842140237777
4. (~quiet(john) | ~tall(john)) <=> ? [X0] : curious(X0) [input p3]
5. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> (~rich(X0) & happy(X0))) [input p4]
6. ! [X0] : ((patient(X0) | happy(X0)) => ~generous(X0)) [input... | 0 |
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