premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not old or not quiet is not kind and vice versa. If someone is not humble then someone is both calm and not quiet and vice versa. If someone is either not humble or not funny then someone is both patient and generous. Everyone who is brave or patient is rich and vice versa. If paul is strong then paul i... | Mary is not creative. | neutral | (![X]:((~old(X)|~quiet(X))<=>~kind(X)))&
((?[X]:(~humble(X)))<=>(?[X]:((calm(X)&~quiet(X)))))&
((?[X]:((~humble(X)<~>~funny(X))))=>(?[X]:((patient(X)&generous(X)))))&
(![X]:((brave(X)|patient(X))<=>rich(X)))&
((strong(paul))<=>((~strong(paul)|tall(paul))))&
(![X]:((wise(X)<~>quiet(X))<=>(~generous(X)&wise(X))))&
(![X]:... | ~creative(mary) | [] | null | 0 |
If someone is brave then alice is both not funny and wise and vice versa. If lucy is not curious then someone is both funny and not kind. Everyone who is not kind or calm is old or wise and vice versa. If john is not strong or not rich then alice is either calm or not happy. Everyone who is not humble is both generous ... | John is kind. | contradiction | ((?[X]:(brave(X)))<=>((~funny(alice)&wise(alice))))&
((~curious(lucy))=>(?[X]:((funny(X)&~kind(X)))))&
(![X]:((~kind(X)|calm(X))<=>(old(X)|wise(X))))&
(((~strong(john)|~rich(john)))=>((calm(alice)<~>~happy(alice))))&
(![X]:(~humble(X)=>(generous(X)&creative(X))))&
((?[X]:((~quiet(X)|rich(X))))=>(?[X]:(creative(X))))&
(... | kind(john) | [
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5335379135199654530973082
% SZS output start Proof for 5335379135199654530973082
5. ! [X0] : (~humble(X0) => (creative(X0) & generous(X0))) [input p4]
10. ! [X0] : ((wise(X0) & ~kind(X0)) <=> (generous(X0) | calm(X0))) [input p9]
11. ? [X0] : (creative(X0) | generous(X0)) => ? [X0] : (fun... | 0 |
Everyone who is both not old and not brave is creative.
If someone is either rich or not old then alice is not wise.
If someone is both not generous and not strong then mary is both funny and patient.
Everyone who is curious or not old is both creative and not patient.
Everyone who is not happy is both not strong and b... | Alice is generous. | contradiction | (![X]:((~old(X)&~brave(X))=>creative(X)))&
((?[X]:((rich(X)<~>~old(X))))=>(~wise(alice)))&
((?[X]:((~generous(X)&~strong(X))))=>((funny(mary)&patient(mary))))&
(![X]:((curious(X)|~old(X))=>(creative(X)&~patient(X))))&
(![X]:(~happy(X)=>(~strong(X)&brave(X))))&
(![X]:(~tall(X)=>(~kind(X)|~old(X))))&
(((rich(fred)&humble... | generous(alice) | [
"p1",
"p3",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8856932889854573272979145
% SZS output start Proof for 8856932889854573272979145
2. ? [X0] : (rich(X0) <~> ~old(X0)) => ~wise(alice) [input p1]
4. ! [X0] : ((~old(X0) | curious(X0)) => (~patient(X0) & creative(X0))) [input p3]
11. ! [X0] : ((humble(X0) & brave(X0)) <=> creative(X0)) [inpu... | 0 |
Everyone who is tall or not wise is tall.
If paul is either not wise or not funny then fred is not curious or not funny and vice versa.
If susan is either not strong or not wise then paul is funny and vice versa.
Everyone who is not patient or patient is either not calm or curious.
If someone is patient then mary is bo... | Mary is brave. | contradiction | (![X]:((tall(X)|~wise(X))=>tall(X)))&
(((~wise(paul)<~>~funny(paul)))<=>((~curious(fred)|~funny(fred))))&
(((~strong(susan)<~>~wise(susan)))<=>(funny(paul)))&
(![X]:((~patient(X)|patient(X))=>(~calm(X)<~>curious(X))))&
((?[X]:(patient(X)))=>((funny(mary)&curious(mary))))&
(![X]:((~wise(X)<~>brave(X))=>(patient(X)&~pati... | brave(mary) | [
"p5",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7849217231822582305138486
% SZS output start Proof for 7849217231822582305138486
6. ! [X0] : ((~wise(X0) <~> brave(X0)) => (~patient(X0) & patient(X0))) [input p5]
9. ! [X0] : ((wise(X0) | ~funny(X0)) <=> (~wise(X0) <~> ~brave(X0))) [input p8]
13. ! [X0] : ((funny(X0) <~> brave(X0)) => (~... | 0 |
Everyone who is strong or not happy is patient and vice versa.
Everyone who is both brave and not calm is both not old and humble.
If someone is patient or wise then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and ... | Alice is not quiet. | contradiction | (![X]:((strong(X)|~happy(X))<=>patient(X)))&
(![X]:((brave(X)&~calm(X))=>(~old(X)&humble(X))))&
((?[X]:((patient(X)|wise(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~... | ~quiet(alice) | [
"p3",
"p4",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 851380335804513757832122
% SZS output start Proof for 851380335804513757832122
4. ? [X0] : (rich(X0) | ~funny(X0)) <=> (tall(alice) & ~funny(alice)) [input p3]
5. ! [X0] : (~rich(X0) => (~creative(X0) & ~calm(X0))) [input p4]
11. ! [X0] : ((quiet(X0) & wise(X0)) <=> (~quiet(X0) <~> calm(X... | 0 |
Everyone who is not old is both humble and not rich and vice versa. If alice is not tall or strong then susan is not tall or curious and vice versa. If someone is not humble then paul is both not old and not humble. Everyone who is patient is both not calm and strong and vice versa. If someone is not funny then someone... | Paul is funny. | entailment | (![X]:(~old(X)<=>(humble(X)&~rich(X))))&
(((~tall(alice)|strong(alice)))<=>((~tall(susan)|curious(susan))))&
((?[X]:(~humble(X)))=>((~old(paul)&~humble(paul))))&
(![X]:(patient(X)<=>(~calm(X)&strong(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:((quiet(X)&brave(X))<=>~wise(X)))&
(![X]:((tall(X)&g... | funny(paul) | [
"p0",
"p4",
"p5",
"p10",
"p11",
"p12",
"p14",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 651144002832090598093597
% SZS output start Proof for 651144002832090598093597
1. ! [X0] : (~old(X0) <=> (~rich(X0) & humble(X0))) [input p0]
5. ? [X0] : ~funny(X0) <=> ? [X0] : (curious(X0) <~> ~old(X0)) [input p4]
6. ! [X0] : ((brave(X0) & quiet(X0)) <=> ~wise(X0)) [input p5]
11. ? [X0]... | 0 |
Everyone who is either humble or not humble is kind.
Everyone who is quiet is both creative and tall.
Everyone who is brave or not patient is either rich or curious and vice versa.
If alice is not curious then fred is not wise or wise.
Everyone who is happy is either not quiet or calm.
If alice is not tall or not gener... | Mary is not tall. | entailment | (![X]:((humble(X)<~>~humble(X))=>kind(X)))&
(![X]:(quiet(X)=>(creative(X)&tall(X))))&
(![X]:((brave(X)|~patient(X))<=>(rich(X)<~>curious(X))))&
((~curious(alice))=>((~wise(fred)|wise(fred))))&
(![X]:(happy(X)=>(~quiet(X)<~>calm(X))))&
(((~tall(alice)|~generous(alice)))<=>(?[X]:(rich(X))))&
(![X]:((~patient(X)|patient(X... | ~tall(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4431447049608327223974114
% SZS output start Proof for 4431447049608327223974114
7. ! [X0] : ((patient(X0) | ~patient(X0)) => (~quiet(X0) & ~tall(X0))) [input p6]
25. tall(mary) [input hypothesis]
35. ! [X0] : ((~quiet(X0) & ~tall(X0)) | (~patient(X0) & patient(X0))) [ennf transformation ... | 0 |
Everyone who is not generous or generous is strong or happy and vice versa.
Everyone who is kind or patient is either happy or not funny.
Everyone who is both not quiet and brave is either not funny or not strong and vice versa.
Everyone who is kind is not generous or generous and vice versa.
If someone is either not c... | Susan is brave. | neutral | (![X]:((~generous(X)|generous(X))<=>(strong(X)|happy(X))))&
(![X]:((kind(X)|patient(X))=>(happy(X)<~>~funny(X))))&
(![X]:((~quiet(X)&brave(X))<=>(~funny(X)<~>~strong(X))))&
(![X]:(kind(X)<=>(~generous(X)|generous(X))))&
((?[X]:((~creative(X)<~>funny(X))))<=>(?[X]:((~humble(X)|~strong(X)))))&
(((calm(paul)|creative(paul... | brave(susan) | [] | null | 0 |
Everyone who is both strong and calm is not generous or not strong and vice versa.
Everyone who is happy is both not tall and old and vice versa.
If someone is both not humble and tall then alice is either tall or not happy.
Everyone who is both not wise and not rich is not calm.
If fred is either not kind or old then ... | Alice is not patient. | contradiction | (![X]:((strong(X)&calm(X))<=>(~generous(X)|~strong(X))))&
(![X]:(happy(X)<=>(~tall(X)&old(X))))&
((?[X]:((~humble(X)&tall(X))))=>((tall(alice)<~>~happy(alice))))&
(![X]:((~wise(X)&~rich(X))=>~calm(X)))&
(((~kind(fred)<~>old(fred)))<=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:((tall(X)|old(X))=>(~patient(X)|brave(X))))&
... | ~patient(alice) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 136615385980346960062455
% SZS output start Proof for 136615385980346960062455
1. ! [X0] : ((calm(X0) & strong(X0)) <=> (~strong(X0) | ~generous(X0))) [input p0]
10. ? [X0] : (~strong(X0) <~> ~patient(X0)) <=> ? [X0] : ~strong(X0) [input p9]
21. ~patient(alice) [input hypothesis]
22. ? [X... | 0 |
Everyone who is not tall or not strong is both kind and not kind and vice versa.
Everyone who is either calm or funny is kind or curious.
If mary is either calm or not calm then fred is both rich and not kind and vice versa.
If someone is either not wise or not calm then paul is not brave.
Everyone who is both not brav... | Fred is not strong. | contradiction | (![X]:((~tall(X)|~strong(X))<=>(kind(X)&~kind(X))))&
(![X]:((calm(X)<~>funny(X))=>(kind(X)|curious(X))))&
(((calm(mary)<~>~calm(mary)))<=>((rich(fred)&~kind(fred))))&
((?[X]:((~wise(X)<~>~calm(X))))=>(~brave(paul)))&
(![X]:((~brave(X)&~quiet(X))<=>(~generous(X)|curious(X))))&
(((~old(alice)<~>~patient(alice)))=>(?[X]:(... | ~strong(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 6059664827078751401569656
% SZS output start Proof for 6059664827078751401569656
1. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (~kind(X0) & kind(X0))) [input p0]
24. ~strong(fred) [input hypothesis]
34. ! [X0] : (((~strong(X0) | ~tall(X0)) | (kind(X0) | ~kind(X0))) & ((~kind(X0) & kind(X0)) ... | 0 |
Everyone who is not humble is happy and vice versa.
If someone is rich then john is not strong or patient and vice versa.
If alice is wise or old then someone is either generous or not creative.
Everyone who is wise is either not kind or not funny and vice versa.
Everyone who is both generous and happy is rich or not w... | Fred is not happy. | neutral | (![X]:(~humble(X)<=>happy(X)))&
((?[X]:(rich(X)))<=>((~strong(john)|patient(john))))&
(((wise(alice)|old(alice)))=>(?[X]:((generous(X)<~>~creative(X)))))&
(![X]:(wise(X)<=>(~kind(X)<~>~funny(X))))&
(![X]:((generous(X)&happy(X))<=>(rich(X)|~wise(X))))&
(![X]:(patient(X)<=>(~wise(X)<~>generous(X))))&
(![X]:(happy(X)=>(~g... | ~happy(fred) | [] | null | 0 |
Everyone who is happy or not rich is not wise.
If john is both creative and not strong then mary is both not kind and quiet.
Everyone who is rich or quiet is both creative and happy and vice versa.
Everyone who is both happy and not creative is both not kind and not wise and vice versa.
If someone is either humble or n... | Mary is not happy. | neutral | (![X]:((happy(X)|~rich(X))=>~wise(X)))&
(((creative(john)&~strong(john)))=>((~kind(mary)&quiet(mary))))&
(![X]:((rich(X)|quiet(X))<=>(creative(X)&happy(X))))&
(![X]:((happy(X)&~creative(X))<=>(~kind(X)&~wise(X))))&
((?[X]:((humble(X)<~>~happy(X))))<=>(?[X]:(~generous(X))))&
(![X]:((creative(X)&patient(X))=>(~humble(X)|... | ~happy(mary) | [] | null | 0 |
If someone is both not curious and not tall then someone is not strong and vice versa.
Everyone who is either strong or creative is wise and vice versa.
Everyone who is creative is not quiet or generous and vice versa.
Everyone who is not brave or curious is both not rich and not quiet and vice versa.
Everyone who is n... | John is not funny. | contradiction | ((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:(~strong(X))))&
(![X]:((strong(X)<~>creative(X))<=>wise(X)))&
(![X]:(creative(X)<=>(~quiet(X)|generous(X))))&
(![X]:((~brave(X)|curious(X))<=>(~rich(X)&~quiet(X))))&
(![X]:(~quiet(X)<=>(~creative(X)&kind(X))))&
((?[X]:(rich(X)))<=>(?[X]:((brave(X)&tall(X)))))&
(![X]:((calm(X)|wi... | ~funny(john) | [
"p2",
"p3",
"p4",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4197550081300939013639735
% SZS output start Proof for 4197550081300939013639735
3. ! [X0] : (creative(X0) <=> (generous(X0) | ~quiet(X0))) [input p2]
4. ! [X0] : ((curious(X0) | ~brave(X0)) <=> (~quiet(X0) & ~rich(X0))) [input p3]
5. ! [X0] : (~quiet(X0) <=> (kind(X0) & ~creative(X0))) [... | 0 |
If alice is either happy or humble then fred is both not creative and wise.
If someone is not tall then someone is patient or strong and vice versa.
If john is curious then paul is not creative.
Everyone who is not humble or old is quiet and vice versa.
Everyone who is humble or not creative is not kind or not happy.
E... | Lucy is patient. | neutral | (((happy(alice)<~>humble(alice)))=>((~creative(fred)&wise(fred))))&
((?[X]:(~tall(X)))<=>(?[X]:((patient(X)|strong(X)))))&
((curious(john))=>(~creative(paul)))&
(![X]:((~humble(X)|old(X))<=>quiet(X)))&
(![X]:((humble(X)|~creative(X))=>(~kind(X)|~happy(X))))&
(![X]:(patient(X)<=>creative(X)))&
(![X]:((rich(X)|patient(X)... | patient(lucy) | [] | null | 0 |
Everyone who is both old and not patient is either happy or brave.
Everyone who is not rich is not brave.
Everyone who is either happy or not creative is not happy and vice versa.
If someone is both not calm and humble then someone is not patient or rich.
If someone is not rich or not creative then john is not funny or... | Paul is not creative. | entailment | (![X]:((old(X)&~patient(X))=>(happy(X)<~>brave(X))))&
(![X]:(~rich(X)=>~brave(X)))&
(![X]:((happy(X)<~>~creative(X))<=>~happy(X)))&
((?[X]:((~calm(X)&humble(X))))=>(?[X]:((~patient(X)|rich(X)))))&
((?[X]:((~rich(X)|~creative(X))))<=>((~funny(john)|~happy(john))))&
((?[X]:((wise(X)<~>kind(X))))=>(?[X]:(patient(X))))&
((... | ~creative(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2765210891809122611833461
% SZS output start Proof for 2765210891809122611833461
3. ! [X0] : ((happy(X0) <~> ~creative(X0)) <=> ~happy(X0)) [input p2]
25. creative(paul) [input hypothesis]
45. ! [X0] : ((((creative(X0) | ~happy(X0)) & (~creative(X0) | happy(X0))) | happy(X0)) & (~happy(X0... | 0 |
If someone is both quiet and calm then paul is creative and vice versa.
If paul is both not funny and not brave then someone is either not funny or not patient.
Everyone who is both generous and not humble is either brave or not funny and vice versa.
If alice is not calm or kind then john is either happy or not happy a... | Mary is not funny. | entailment | ((?[X]:((quiet(X)&calm(X))))<=>(creative(paul)))&
(((~funny(paul)&~brave(paul)))=>(?[X]:((~funny(X)<~>~patient(X)))))&
(![X]:((generous(X)&~humble(X))<=>(brave(X)<~>~funny(X))))&
(((~calm(alice)|kind(alice)))<=>((happy(john)<~>~happy(john))))&
(![X]:((strong(X)|creative(X))<=>~old(X)))&
(![X]:((wise(X)&creative(X))<=>(... | ~funny(mary) | [
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8498705535460358729902278
% SZS output start Proof for 8498705535460358729902278
7. ! [X0] : ((~creative(X0) | funny(X0)) => (~wise(X0) & ~strong(X0))) [input p6]
10. ! [X0] : ((strong(X0) & ~quiet(X0)) <=> ~creative(X0)) [input p9]
14. ! [X0] : ((strong(X0) & ~creative(X0)) <=> ~wise(X0)... | 0 |
If fred is either not old or not kind then lucy is both humble and not generous.
Everyone who is both wise and not curious is not humble and vice versa.
If someone is either not calm or brave then lucy is not creative or not tall and vice versa.
If lucy is both curious and not curious then paul is calm or curious and v... | Paul is humble. | contradiction | (((~old(fred)<~>~kind(fred)))=>((humble(lucy)&~generous(lucy))))&
(![X]:((wise(X)&~curious(X))<=>~humble(X)))&
((?[X]:((~calm(X)<~>brave(X))))<=>((~creative(lucy)|~tall(lucy))))&
(((curious(lucy)&~curious(lucy)))<=>((calm(paul)|curious(paul))))&
(((curious(mary)|rich(mary)))=>(?[X]:((~creative(X)<~>calm(X)))))&
(![X]:(... | humble(paul) | [
"p3",
"p5",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1199213235901980311723415
% SZS output start Proof for 1199213235901980311723415
4. (~curious(lucy) & curious(lucy)) <=> (curious(paul) | calm(paul)) [input p3]
6. ! [X0] : ((~calm(X0) | kind(X0)) => (~happy(X0) <~> calm(X0))) [input p5]
8. ! [X0] : ((quiet(X0) | humble(X0)) => happy(X0))... | 0 |
Everyone who is both not strong and brave is either not strong or old and vice versa. If mary is creative then fred is generous and vice versa. If someone is not calm then susan is either patient or rich and vice versa. Everyone who is brave is rich or not funny and vice versa. Everyone who is either old or strong is b... | Alice is humble. | entailment | (![X]:((~strong(X)&brave(X))<=>(~strong(X)<~>old(X))))&
((creative(mary))<=>(generous(fred)))&
((?[X]:(~calm(X)))<=>((patient(susan)<~>rich(susan))))&
(![X]:(brave(X)<=>(rich(X)|~funny(X))))&
(![X]:((old(X)<~>strong(X))<=>brave(X)))&
(![X]:((wise(X)<~>creative(X))=>(strong(X)<~>quiet(X))))&
(((quiet(mary)&strong(mary))... | humble(alice) | [
"p0",
"p3",
"p4",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7183004967426025029304144
% SZS output start Proof for 7183004967426025029304144
1. ! [X0] : ((brave(X0) & ~strong(X0)) <=> (~strong(X0) <~> old(X0))) [input p0]
4. ! [X0] : (brave(X0) <=> (~funny(X0) | rich(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> strong(X0)) <=> brave(X0)) [input p4]
... | 0 |
Everyone who is not patient is curious or not wise. If someone is funny or not funny then someone is not tall or not brave. Everyone who is not tall or generous is both not humble and kind and vice versa. Everyone who is either happy or tall is not generous. Everyone who is either not creative or creative is either kin... | John is not funny. | contradiction | (![X]:(~patient(X)=>(curious(X)|~wise(X))))&
((?[X]:((funny(X)|~funny(X))))=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~tall(X)|generous(X))<=>(~humble(X)&kind(X))))&
(![X]:((happy(X)<~>tall(X))=>~generous(X)))&
(![X]:((~creative(X)<~>creative(X))=>(kind(X)<~>wise(X))))&
(((~kind(fred)<~>~patient(fred)))=>((~generous(fre... | ~funny(john) | [
"p4",
"p7",
"p8",
"p10",
"p12",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8906105814132362071719180
% SZS output start Proof for 8906105814132362071719180
5. ! [X0] : ((~creative(X0) <~> creative(X0)) => (kind(X0) <~> wise(X0))) [input p4]
8. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (brave(X0) | kind(X0))) [input p7]
9. ! [X0] : ((rich(X0) | calm(X0)) <=> (~st... | 0 |
Everyone who is both not funny and not brave is both not tall and not quiet and vice versa.
Everyone who is patient is either not tall or not rich and vice versa.
If lucy is both curious and not humble then fred is either wise or not old and vice versa.
Everyone who is both not kind and not patient is happy.
If someone... | Mary is not funny. | neutral | (![X]:((~funny(X)&~brave(X))<=>(~tall(X)&~quiet(X))))&
(![X]:(patient(X)<=>(~tall(X)<~>~rich(X))))&
(((curious(lucy)&~humble(lucy)))<=>((wise(fred)<~>~old(fred))))&
(![X]:((~kind(X)&~patient(X))=>happy(X)))&
((?[X]:((~creative(X)<~>~calm(X))))=>(?[X]:((~quiet(X)|~happy(X)))))&
(((rich(mary)|humble(mary)))<=>(?[X]:((qui... | ~funny(mary) | [] | null | 0 |
If john is not curious then susan is rich or calm and vice versa.
If someone is not patient or humble then john is not kind and vice versa.
If fred is rich or funny then someone is either funny or tall.
If fred is both not rich and humble then someone is not kind or tall.
If someone is not calm then fred is curious and... | Fred is not calm. | contradiction | ((~curious(john))<=>((rich(susan)|calm(susan))))&
((?[X]:((~patient(X)|humble(X))))<=>(~kind(john)))&
(((rich(fred)|funny(fred)))=>(?[X]:((funny(X)<~>tall(X)))))&
(((~rich(fred)&humble(fred)))=>(?[X]:((~kind(X)|tall(X)))))&
((?[X]:(~calm(X)))<=>(curious(fred)))&
((~old(paul))<=>((patient(susan)|~strong(susan))))&
(![X]... | ~calm(fred) | [
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4299051997471340922966619
% SZS output start Proof for 4299051997471340922966619
5. ? [X0] : ~calm(X0) <=> curious(fred) [input p4]
18. strong(fred) & ~curious(fred) [input p17]
25. ~calm(fred) [input hypothesis]
47. (? [X0] : ~calm(X0) | ~curious(fred)) & (curious(fred) | ! [X0] : calm(X... | 0 |
Everyone who is both rich and not quiet is not calm and vice versa. Everyone who is either not humble or not curious is not patient. Everyone who is both strong and not old is either old or not humble and vice versa. If fred is not wise or not curious then someone is either not generous or happy and vice versa. Everyon... | Susan is curious. | contradiction | (![X]:((rich(X)&~quiet(X))<=>~calm(X)))&
(![X]:((~humble(X)<~>~curious(X))=>~patient(X)))&
(![X]:((strong(X)&~old(X))<=>(old(X)<~>~humble(X))))&
(((~wise(fred)|~curious(fred)))<=>(?[X]:((~generous(X)<~>happy(X)))))&
(![X]:((creative(X)&rich(X))<=>(~curious(X)|~calm(X))))&
(((tall(lucy)<~>~rich(lucy)))<=>(rich(susan)))&... | curious(susan) | [
"p1",
"p2",
"p6",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 451773425379204014670874
% SZS output start Proof for 451773425379204014670874
2. ! [X0] : ((~humble(X0) <~> ~curious(X0)) => ~patient(X0)) [input p1]
3. ! [X0] : ((~old(X0) & strong(X0)) <=> (old(X0) <~> ~humble(X0))) [input p2]
7. ! [X0] : ((patient(X0) & ~strong(X0)) <=> (~strong(X0) <... | 0 |
Everyone who is either tall or rich is not curious and vice versa.
Everyone who is not happy is not creative.
Everyone who is either not curious or not calm is both kind and curious and vice versa.
If alice is either not humble or not generous then someone is either creative or generous and vice versa.
Everyone who is ... | Mary is not strong. | neutral | (![X]:((tall(X)<~>rich(X))<=>~curious(X)))&
(![X]:(~happy(X)=>~creative(X)))&
(![X]:((~curious(X)<~>~calm(X))<=>(kind(X)&curious(X))))&
(((~humble(alice)<~>~generous(alice)))<=>(?[X]:((creative(X)<~>generous(X)))))&
(![X]:(generous(X)=>(~strong(X)&~brave(X))))&
(((old(lucy)<~>~creative(lucy)))<=>(?[X]:((rich(X)<~>tall(... | ~strong(mary) | [] | null | 0 |
Everyone who is both not strong and happy is not brave or not wise.
If susan is both not patient and creative then someone is not curious and vice versa.
If alice is not strong or not old then someone is either not kind or creative.
If alice is either happy or humble then someone is not generous.
If susan is either not... | Alice is calm. | neutral | (![X]:((~strong(X)&happy(X))=>(~brave(X)|~wise(X))))&
(((~patient(susan)&creative(susan)))<=>(?[X]:(~curious(X))))&
(((~strong(alice)|~old(alice)))=>(?[X]:((~kind(X)<~>creative(X)))))&
(((happy(alice)<~>humble(alice)))=>(?[X]:(~generous(X))))&
(((~happy(susan)<~>humble(susan)))=>(?[X]:((humble(X)&~funny(X)))))&
(![X]:(... | calm(alice) | [] | null | 0 |
Everyone who is either not brave or not wise is creative.
If lucy is not generous or tall then paul is humble or not humble and vice versa.
Everyone who is either not brave or not tall is not brave or not tall.
Everyone who is either not kind or calm is both curious and not humble and vice versa.
If someone is both not... | John is creative. | contradiction | (![X]:((~brave(X)<~>~wise(X))=>creative(X)))&
(((~generous(lucy)|tall(lucy)))<=>((humble(paul)|~humble(paul))))&
(![X]:((~brave(X)<~>~tall(X))=>(~brave(X)|~tall(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(curious(X)&~humble(X))))&
((?[X]:((~humble(X)&~tall(X))))<=>(?[X]:((~brave(X)&~creative(X)))))&
((?[X]:((tall(X)&patient(... | creative(john) | [
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 367121376766820100385932
% SZS output start Proof for 367121376766820100385932
9. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (patient(X0) & ~quiet(X0))) [input p8]
10. ! [X0] : (quiet(X0) <=> creative(X0)) [input p9]
12. ! [X0] : (~patient(X0) => ~quiet(X0)) [input p11]
15. ? [X0] : (brave(X0) ... | 0 |
Everyone who is tall or not patient is rich or not funny and vice versa.
Everyone who is tall is either kind or humble and vice versa.
Everyone who is either tall or funny is either funny or not humble and vice versa.
If mary is either not calm or not generous then someone is kind.
Everyone who is not curious or brave ... | Fred is patient. | entailment | (![X]:((tall(X)|~patient(X))<=>(rich(X)|~funny(X))))&
(![X]:(tall(X)<=>(kind(X)<~>humble(X))))&
(![X]:((tall(X)<~>funny(X))<=>(funny(X)<~>~humble(X))))&
(((~calm(mary)<~>~generous(mary)))=>(?[X]:(kind(X))))&
(![X]:((~curious(X)|brave(X))<=>(~old(X)<~>~happy(X))))&
((?[X]:((brave(X)<~>creative(X))))<=>(?[X]:(~brave(X)))... | patient(fred) | [
"p0",
"p1",
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1299222772130542628870158
% SZS output start Proof for 1299222772130542628870158
1. ! [X0] : ((~patient(X0) | tall(X0)) <=> (~funny(X0) | rich(X0))) [input p0]
2. ! [X0] : (tall(X0) <=> (kind(X0) <~> humble(X0))) [input p1]
3. ! [X0] : ((tall(X0) <~> funny(X0)) <=> (funny(X0) <~> ~humble(... | 0 |
If someone is happy then someone is not calm.
Everyone who is both generous and wise is not wise and vice versa.
If paul is tall then someone is patient or curious.
If alice is both funny and not brave then mary is either not patient or not rich.
Everyone who is curious or creative is rich or not happy and vice versa.
... | Alice is not wise. | contradiction | ((?[X]:(happy(X)))=>(?[X]:(~calm(X))))&
(![X]:((generous(X)&wise(X))<=>~wise(X)))&
((tall(paul))=>(?[X]:((patient(X)|curious(X)))))&
(((funny(alice)&~brave(alice)))=>((~patient(mary)<~>~rich(mary))))&
(![X]:((curious(X)|creative(X))<=>(rich(X)|~happy(X))))&
(![X]:((~wise(X)&~kind(X))=>(humble(X)&~calm(X))))&
((calm(fre... | ~wise(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 3783443832997318455467979
% SZS output start Proof for 3783443832997318455467979
2. ! [X0] : ((wise(X0) & generous(X0)) <=> ~wise(X0)) [input p1]
25. ~wise(alice) [input hypothesis]
45. ! [X0] : (((wise(X0) & generous(X0)) | wise(X0)) & (~wise(X0) | (~wise(X0) | ~generous(X0)))) [nnf tran... | 0 |
Everyone who is either quiet or strong is not tall or generous.
Everyone who is either funny or not calm is either humble or rich and vice versa.
Everyone who is not old is either calm or not generous and vice versa.
Everyone who is not happy is creative.
If someone is calm then someone is not rich or kind.
Everyone wh... | John is happy. | entailment | (![X]:((quiet(X)<~>strong(X))=>(~tall(X)|generous(X))))&
(![X]:((funny(X)<~>~calm(X))<=>(humble(X)<~>rich(X))))&
(![X]:(~old(X)<=>(calm(X)<~>~generous(X))))&
(![X]:(~happy(X)=>creative(X)))&
((?[X]:(calm(X)))=>(?[X]:((~rich(X)|kind(X)))))&
(![X]:((~patient(X)&creative(X))<=>(~old(X)&creative(X))))&
((?[X]:((humble(X)&q... | happy(john) | [
"p6",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4519850418632659444943771
% SZS output start Proof for 4519850418632659444943771
7. ? [X0] : (quiet(X0) & humble(X0)) <=> ? [X0] : (tall(X0) | ~funny(X0)) [input p6]
9. ! [X0] : ((creative(X0) | quiet(X0)) => (~humble(X0) & tall(X0))) [input p8]
11. ! [X0] : ((~strong(X0) & ~happy(X0)) =>... | 0 |
If someone is both tall and humble then someone is either old or not curious. Everyone who is either curious or calm is not wise and vice versa. If someone is funny then someone is creative. Everyone who is not brave or brave is both generous and not creative. Everyone who is not funny is either funny or not rich. Ever... | Mary is not creative. | entailment | ((?[X]:((tall(X)&humble(X))))=>(?[X]:((old(X)<~>~curious(X)))))&
(![X]:((curious(X)<~>calm(X))<=>~wise(X)))&
((?[X]:(funny(X)))=>(?[X]:(creative(X))))&
(![X]:((~brave(X)|brave(X))=>(generous(X)&~creative(X))))&
(![X]:(~funny(X)=>(funny(X)<~>~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>tall(X)))&
(![X]:((~curious(X)<~... | ~creative(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 9036053051631873266283810
% SZS output start Proof for 9036053051631873266283810
4. ! [X0] : ((brave(X0) | ~brave(X0)) => (~creative(X0) & generous(X0))) [input p3]
22. creative(mary) [input hypothesis]
30. ! [X0] : ((~creative(X0) & generous(X0)) | (~brave(X0) & brave(X0))) [ennf transfo... | 0 |
Everyone who is not funny or not patient is both creative and not old.
Everyone who is both strong and wise is either not creative or not kind and vice versa.
If someone is both curious and strong then susan is not curious and vice versa.
Everyone who is both old and generous is either funny or rich.
Everyone who is ei... | Fred is not patient. | entailment | (![X]:((~funny(X)|~patient(X))=>(creative(X)&~old(X))))&
(![X]:((strong(X)&wise(X))<=>(~creative(X)<~>~kind(X))))&
((?[X]:((curious(X)&strong(X))))<=>(~curious(susan)))&
(![X]:((old(X)&generous(X))=>(funny(X)<~>rich(X))))&
(![X]:((~kind(X)<~>tall(X))=>~creative(X)))&
((?[X]:(~curious(X)))<=>(?[X]:((kind(X)&~rich(X)))))... | ~patient(fred) | [
"p0",
"p1",
"p4",
"p6",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7012322526621950268953844
% SZS output start Proof for 7012322526621950268953844
1. ! [X0] : ((~patient(X0) | ~funny(X0)) => (~old(X0) & creative(X0))) [input p0]
2. ! [X0] : ((wise(X0) & strong(X0)) <=> (~creative(X0) <~> ~kind(X0))) [input p1]
5. ! [X0] : ((~kind(X0) <~> tall(X0)) => ~c... | 0 |
If alice is either not generous or not strong then someone is either tall or not quiet and vice versa.
If lucy is strong then fred is patient.
Everyone who is not calm is not tall and vice versa.
Everyone who is both curious and not generous is either curious or creative and vice versa.
Everyone who is both not humble ... | Susan is not creative. | contradiction | (((~generous(alice)<~>~strong(alice)))<=>(?[X]:((tall(X)<~>~quiet(X)))))&
((strong(lucy))=>(patient(fred)))&
(![X]:(~calm(X)<=>~tall(X)))&
(![X]:((curious(X)&~generous(X))<=>(curious(X)<~>creative(X))))&
(![X]:((~humble(X)&~tall(X))<=>tall(X)))&
(((humble(alice)<~>brave(alice)))=>((~old(susan)<~>~happy(susan))))&
(![X]... | ~creative(susan) | [
"p2",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5598503795091756323234108
% SZS output start Proof for 5598503795091756323234108
3. ! [X0] : (~calm(X0) <=> ~tall(X0)) [input p2]
5. ! [X0] : ((~tall(X0) & ~humble(X0)) <=> tall(X0)) [input p4]
7. ! [X0] : ((old(X0) & calm(X0)) <=> ~creative(X0)) [input p6]
24. ~creative(susan) [input hyp... | 0 |
Everyone who is not calm is rich or not kind.
If someone is both not strong and funny then paul is not humble.
Everyone who is either not tall or not humble is both not wise and strong.
Everyone who is not humble or old is tall or not curious and vice versa.
If someone is both not curious and not calm then someone is e... | Alice is not strong. | contradiction | (![X]:(~calm(X)=>(rich(X)|~kind(X))))&
((?[X]:((~strong(X)&funny(X))))=>(~humble(paul)))&
(![X]:((~tall(X)<~>~humble(X))=>(~wise(X)&strong(X))))&
(![X]:((~humble(X)|old(X))<=>(tall(X)|~curious(X))))&
((?[X]:((~curious(X)&~calm(X))))=>(?[X]:((wise(X)<~>funny(X)))))&
(![X]:(~brave(X)=>~wise(X)))&
(![X]:((quiet(X)&~brave(... | ~strong(alice) | [
"p2",
"p7",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3284535970825285488911322
% SZS output start Proof for 3284535970825285488911322
3. ! [X0] : ((~tall(X0) <~> ~humble(X0)) => (strong(X0) & ~wise(X0))) [input p2]
8. ! [X0] : ((~brave(X0) | funny(X0)) <=> tall(X0)) [input p7]
19. brave(alice) & funny(alice) [input p18]
21. ~humble(alice) [... | 0 |
Everyone who is quiet or not kind is both not tall and not generous and vice versa. Everyone who is wise is tall. If paul is not rich then susan is both not humble and creative and vice versa. Everyone who is not strong or not humble is both not patient and humble and vice versa. If paul is both calm and not patient th... | Mary is not patient. | neutral | (![X]:((quiet(X)|~kind(X))<=>(~tall(X)&~generous(X))))&
(![X]:(wise(X)=>tall(X)))&
((~rich(paul))<=>((~humble(susan)&creative(susan))))&
(![X]:((~strong(X)|~humble(X))<=>(~patient(X)&humble(X))))&
(((calm(paul)&~patient(paul)))=>(?[X]:((strong(X)&tall(X)))))&
(![X]:((quiet(X)|~strong(X))=>(tall(X)&calm(X))))&
(((~rich(... | ~patient(mary) | [] | null | 0 |
Everyone who is happy or not rich is creative or not old and vice versa.
Everyone who is not quiet is either funny or not strong and vice versa.
If someone is either not creative or not calm then john is either not kind or not happy and vice versa.
If someone is either brave or wise then someone is not generous or not ... | Alice is wise. | contradiction | (![X]:((happy(X)|~rich(X))<=>(creative(X)|~old(X))))&
(![X]:(~quiet(X)<=>(funny(X)<~>~strong(X))))&
((?[X]:((~creative(X)<~>~calm(X))))<=>((~kind(john)<~>~happy(john))))&
((?[X]:((brave(X)<~>wise(X))))<=>(?[X]:((~generous(X)|~wise(X)))))&
(![X]:(~happy(X)=>generous(X)))&
((?[X]:((~funny(X)|wise(X))))<=>((~wise(alice)&h... | wise(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 597696896202674397229121
% SZS output start Proof for 597696896202674397229121
6. ? [X0] : (wise(X0) | ~funny(X0)) <=> (humble(alice) & ~wise(alice)) [input p5]
25. wise(alice) [input hypothesis]
47. (? [X0] : (wise(X0) | ~funny(X0)) | (~humble(alice) | wise(alice))) & ((humble(alice) & ~... | 0 |
Everyone who is either not calm or calm is not happy.
If someone is both not generous and brave then lucy is old and vice versa.
Everyone who is both not wise and not rich is both curious and quiet and vice versa.
Everyone who is both not tall and quiet is tall or creative and vice versa.
Everyone who is rich or not fu... | Alice is funny. | neutral | (![X]:((~calm(X)<~>calm(X))=>~happy(X)))&
((?[X]:((~generous(X)&brave(X))))<=>(old(lucy)))&
(![X]:((~wise(X)&~rich(X))<=>(curious(X)&quiet(X))))&
(![X]:((~tall(X)&quiet(X))<=>(tall(X)|creative(X))))&
(![X]:((rich(X)|~funny(X))<=>(~wise(X)<~>~funny(X))))&
((?[X]:((wise(X)<~>funny(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((... | funny(alice) | [] | null | 0 |
Everyone who is not patient is generous or not happy and vice versa.
Everyone who is not quiet is not brave and vice versa.
If john is both not curious and not tall then someone is not quiet or creative and vice versa.
Everyone who is rich or not curious is either not kind or happy and vice versa.
Everyone who is rich ... | Mary is wise. | contradiction | (![X]:(~patient(X)<=>(generous(X)|~happy(X))))&
(![X]:(~quiet(X)<=>~brave(X)))&
(((~curious(john)&~tall(john)))<=>(?[X]:((~quiet(X)|creative(X)))))&
(![X]:((rich(X)|~curious(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((rich(X)|~rich(X))<=>(~old(X)<~>~generous(X))))&
(((~quiet(john)|strong(john)))<=>((~curious(mary)&tall(mary... | wise(mary) | [
"p0",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 233361477284144264175018
% SZS output start Proof for 233361477284144264175018
1. ! [X0] : (~patient(X0) <=> (~happy(X0) | generous(X0))) [input p0]
7. ! [X0] : ((~brave(X0) | generous(X0)) <=> (wise(X0) <~> humble(X0))) [input p6]
11. ? [X0] : ~humble(X0) => (patient(mary) & brave(mary))... | 0 |
If susan is not tall then alice is both tall and kind and vice versa.
Everyone who is both not brave and patient is either humble or quiet and vice versa.
Everyone who is not tall or generous is either humble or calm and vice versa.
If someone is rich or not creative then someone is both not funny and not curious.
Ever... | Paul is wise. | entailment | ((~tall(susan))<=>((tall(alice)&kind(alice))))&
(![X]:((~brave(X)&patient(X))<=>(humble(X)<~>quiet(X))))&
(![X]:((~tall(X)|generous(X))<=>(humble(X)<~>calm(X))))&
((?[X]:((rich(X)|~creative(X))))=>(?[X]:((~funny(X)&~curious(X)))))&
(![X]:((~happy(X)|quiet(X))<=>~funny(X)))&
(![X]:(~wise(X)=>(humble(X)&quiet(X))))&
(![X... | wise(paul) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3501283750338679582570276
% SZS output start Proof for 3501283750338679582570276
14. ! [X0] : (~calm(X0) <=> (~wise(X0) <~> ~calm(X0))) [input p13]
25. ~wise(paul) [input hypothesis]
56. ! [X0] : ((~calm(X0) | ((~wise(X0) | calm(X0)) & (~calm(X0) | wise(X0)))) & (((calm(X0) | wise(X0)) & ... | 0 |
Everyone who is not funny or not creative is brave.
If lucy is not old then someone is creative or not kind.
If someone is both not wise and rich then someone is not old and vice versa.
If alice is not quiet or not generous then someone is not kind or patient and vice versa.
Everyone who is both humble and not brave is... | Fred is humble. | entailment | (![X]:((~funny(X)|~creative(X))=>brave(X)))&
((~old(lucy))=>(?[X]:((creative(X)|~kind(X)))))&
((?[X]:((~wise(X)&rich(X))))<=>(?[X]:(~old(X))))&
(((~quiet(alice)|~generous(alice)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((humble(X)&~brave(X))=>(quiet(X)&~patient(X))))&
(![X]:((~patient(X)&brave(X))<=>rich(X)))&
(![X]:... | humble(fred) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 670280059319263557810255
% SZS output start Proof for 670280059319263557810255
10. ! [X0] : ((~humble(X0) & ~kind(X0)) <=> (kind(X0) <~> rich(X0))) [input p9]
20. ~rich(fred) & old(fred) [input p19]
22. ~humble(fred) [input hypothesis]
51. ! [X0] : (((~humble(X0) & ~kind(X0)) | ((kind(X0)... | 0 |
Everyone who is strong is either not strong or happy.
Everyone who is tall is both rich and creative and vice versa.
Everyone who is either not generous or not happy is both humble and not calm and vice versa.
Everyone who is both not tall and not brave is not patient or patient and vice versa.
Everyone who is both not... | Fred is old. | neutral | (![X]:(strong(X)=>(~strong(X)<~>happy(X))))&
(![X]:(tall(X)<=>(rich(X)&creative(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(humble(X)&~calm(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~patient(X)|patient(X))))&
(![X]:((~patient(X)&~wise(X))=>(quiet(X)<~>funny(X))))&
((?[X]:((strong(X)<~>old(X))))<=>(?[X]:(~strong(X))))&
(![X... | old(fred) | [] | null | 0 |
Everyone who is either not quiet or not strong is calm or not rich. Everyone who is not calm is wise and vice versa. If someone is not rich or kind then susan is either brave or not brave and vice versa. Everyone who is both old and tall is not strong or not happy and vice versa. Everyone who is both generous and not g... | Alice is quiet. | neutral | (![X]:((~quiet(X)<~>~strong(X))=>(calm(X)|~rich(X))))&
(![X]:(~calm(X)<=>wise(X)))&
((?[X]:((~rich(X)|kind(X))))<=>((brave(susan)<~>~brave(susan))))&
(![X]:((old(X)&tall(X))<=>(~strong(X)|~happy(X))))&
(![X]:((generous(X)&~generous(X))<=>(~quiet(X)<~>patient(X))))&
(![X]:((kind(X)&~patient(X))<=>(~patient(X)<~>funny(X)... | quiet(alice) | [] | null | 0 |
If someone is not humble or not quiet then someone is not strong and vice versa.
Everyone who is either brave or quiet is creative or brave and vice versa.
If susan is not creative then fred is both not curious and quiet and vice versa.
Everyone who is both not quiet and not rich is both not humble and quiet and vice v... | John is not brave. | contradiction | ((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:(~strong(X))))&
(![X]:((brave(X)<~>quiet(X))<=>(creative(X)|brave(X))))&
((~creative(susan))<=>((~curious(fred)&quiet(fred))))&
(![X]:((~quiet(X)&~rich(X))<=>(~humble(X)&quiet(X))))&
((calm(mary))<=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((calm(X)<~>quiet(X))=>(~humble(X)|gen... | ~brave(john) | [
"p1",
"p10",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 124863888220208857796687
% SZS output start Proof for 124863888220208857796687
2. ! [X0] : ((brave(X0) <~> quiet(X0)) <=> (brave(X0) | creative(X0))) [input p1]
11. ! [X0] : ((~creative(X0) & calm(X0)) <=> (~wise(X0) | quiet(X0))) [input p10]
23. creative(john) <~> calm(john) [input p22]
... | 0 |
If susan is both not funny and tall then someone is either rich or quiet. Everyone who is either not creative or generous is both not tall and not calm and vice versa. If susan is either not calm or not kind then paul is funny and vice versa. If someone is either curious or not quiet then fred is either not brave or ca... | Fred is not generous. | neutral | (((~funny(susan)&tall(susan)))=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:((~creative(X)<~>generous(X))<=>(~tall(X)&~calm(X))))&
(((~calm(susan)<~>~kind(susan)))<=>(funny(paul)))&
((?[X]:((curious(X)<~>~quiet(X))))<=>((~brave(fred)<~>calm(fred))))&
(![X]:((~happy(X)<~>patient(X))=>(calm(X)&~old(X))))&
(((quiet(alice)&~old(... | ~generous(fred) | [] | null | 0 |
Everyone who is either curious or calm is either not old or old and vice versa.
If someone is both not strong and not kind then mary is both not funny and not wise.
If someone is happy then susan is not brave.
If mary is either not tall or not quiet then lucy is not creative and vice versa.
Everyone who is not quiet or... | Susan is not wise. | entailment | (![X]:((curious(X)<~>calm(X))<=>(~old(X)<~>old(X))))&
((?[X]:((~strong(X)&~kind(X))))=>((~funny(mary)&~wise(mary))))&
((?[X]:(happy(X)))=>(~brave(susan)))&
(((~tall(mary)<~>~quiet(mary)))<=>(~creative(lucy)))&
(![X]:((~quiet(X)|~calm(X))<=>calm(X)))&
(![X]:((~rich(X)&~wise(X))<=>~rich(X)))&
(![X]:((generous(X)|rich(X))... | ~wise(susan) | [
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6806773246339733132288682
% SZS output start Proof for 6806773246339733132288682
6. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> ~rich(X0)) [input p5]
21. ~quiet(susan) & ~rich(susan) [input p20]
23. wise(susan) [input hypothesis]
39. ! [X0] : (((~wise(X0) & ~rich(X0)) | rich(X0)) & (~rich(X0) |... | 0 |
If someone is not curious or calm then someone is either not humble or strong and vice versa. If someone is not rich then someone is either kind or not brave. If john is both not creative and not humble then someone is kind or generous. Everyone who is not quiet or patient is both old and not patient. Everyone who is e... | Fred is not kind. | entailment | ((?[X]:((~curious(X)|calm(X))))<=>(?[X]:((~humble(X)<~>strong(X)))))&
((?[X]:(~rich(X)))=>(?[X]:((kind(X)<~>~brave(X)))))&
(((~creative(john)&~humble(john)))=>(?[X]:((kind(X)|generous(X)))))&
(![X]:((~quiet(X)|patient(X))=>(old(X)&~patient(X))))&
(![X]:((~tall(X)<~>~old(X))<=>old(X)))&
((?[X]:((~calm(X)<~>wise(X))))<=>... | ~kind(fred) | [
"p3",
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8973467087431783065176879
% SZS output start Proof for 8973467087431783065176879
4. ! [X0] : ((patient(X0) | ~quiet(X0)) => (~patient(X0) & old(X0))) [input p3]
5. ! [X0] : ((~tall(X0) <~> ~old(X0)) <=> old(X0)) [input p4]
7. ! [X0] : ((~wise(X0) & ~tall(X0)) <=> patient(X0)) [input p6]
1... | 0 |
If mary is not strong or not old then someone is not quiet.
Everyone who is wise or kind is curious and vice versa.
If someone is both calm and tall then someone is both patient and not strong and vice versa.
If someone is funny or not brave then fred is not rich or strong and vice versa.
Everyone who is either not cur... | Mary is not calm. | contradiction | (((~strong(mary)|~old(mary)))=>(?[X]:(~quiet(X))))&
(![X]:((wise(X)|kind(X))<=>curious(X)))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((patient(X)&~strong(X)))))&
((?[X]:((funny(X)|~brave(X))))<=>((~rich(fred)|strong(fred))))&
(![X]:((~curious(X)<~>funny(X))<=>(happy(X)|generous(X))))&
(![X]:(generous(X)<=>(strong(X)|creati... | ~calm(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2151676762306696764842624
% SZS output start Proof for 2151676762306696764842624
7. ! [X0] : (~calm(X0) <=> (calm(X0) & generous(X0))) [input p6]
23. ~calm(mary) [input hypothesis]
50. ! [X0] : ((~calm(X0) | (~calm(X0) | ~generous(X0))) & ((calm(X0) & generous(X0)) | calm(X0))) [nnf trans... | 0 |
Everyone who is strong or not rich is not generous and vice versa.
Everyone who is calm is either not strong or humble and vice versa.
Everyone who is either generous or not rich is both old and kind and vice versa.
Everyone who is generous or kind is strong and vice versa.
Everyone who is not patient or humble is funn... | Susan is patient. | entailment | (![X]:((strong(X)|~rich(X))<=>~generous(X)))&
(![X]:(calm(X)<=>(~strong(X)<~>humble(X))))&
(![X]:((generous(X)<~>~rich(X))<=>(old(X)&kind(X))))&
(![X]:((generous(X)|kind(X))<=>strong(X)))&
(![X]:((~patient(X)|humble(X))<=>funny(X)))&
((?[X]:((creative(X)&old(X))))=>(?[X]:((old(X)&creative(X)))))&
(![X]:((generous(X)|ha... | patient(susan) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1180016533869103494783475
% SZS output start Proof for 1180016533869103494783475
1. ! [X0] : ((~rich(X0) | strong(X0)) <=> ~generous(X0)) [input p0]
3. ! [X0] : ((generous(X0) <~> ~rich(X0)) <=> (kind(X0) & old(X0))) [input p2]
4. ! [X0] : ((kind(X0) | generous(X0)) <=> strong(X0)) [input... | 0 |
Everyone who is patient is wise and vice versa.
Everyone who is not old or wise is both not happy and not quiet and vice versa.
Everyone who is either not happy or brave is either not patient or not kind and vice versa.
If fred is not tall or happy then lucy is either not kind or happy and vice versa.
Everyone who is b... | Susan is brave. | neutral | (![X]:(patient(X)<=>wise(X)))&
(![X]:((~old(X)|wise(X))<=>(~happy(X)&~quiet(X))))&
(![X]:((~happy(X)<~>brave(X))<=>(~patient(X)<~>~kind(X))))&
(((~tall(fred)|happy(fred)))<=>((~kind(lucy)<~>happy(lucy))))&
(![X]:((~funny(X)&~quiet(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((~quiet(X)&brave(X))<=>~generous(X)))&
((?[X]:((... | brave(susan) | [] | null | 0 |
If someone is tall then someone is either not funny or creative and vice versa.
Everyone who is both not humble and wise is either not curious or not old.
If someone is not happy then someone is not patient or not generous and vice versa.
Everyone who is both not calm and strong is not patient and vice versa.
If mary i... | Paul is funny. | contradiction | ((?[X]:(tall(X)))<=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~humble(X)&wise(X))=>(~curious(X)<~>~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((~patient(X)|~generous(X)))))&
(![X]:((~calm(X)&strong(X))<=>~patient(X)))&
(((patient(mary)|~humble(mary)))=>((~generous(mary)&calm(mary))))&
(![X]:(generous(X)=>(calm(X)&~wise(... | funny(paul) | [
"p3",
"p5",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 392700196078331329432258
% SZS output start Proof for 392700196078331329432258
4. ! [X0] : ((strong(X0) & ~calm(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (generous(X0) => (~wise(X0) & calm(X0))) [input p5]
9. ? [X0] : (~wise(X0) | ~calm(X0)) => generous(fred) [input p8]
15. ! [X0] : (... | 0 |
If someone is not funny then lucy is either not calm or generous and vice versa.
Everyone who is not brave or humble is old or wise and vice versa.
If someone is either not happy or tall then someone is both not curious and patient.
If someone is not patient then alice is rich and vice versa.
Everyone who is not patien... | John is funny. | neutral | ((?[X]:(~funny(X)))<=>((~calm(lucy)<~>generous(lucy))))&
(![X]:((~brave(X)|humble(X))<=>(old(X)|wise(X))))&
((?[X]:((~happy(X)<~>tall(X))))=>(?[X]:((~curious(X)&patient(X)))))&
((?[X]:(~patient(X)))<=>(rich(alice)))&
(![X]:((~patient(X)|~calm(X))<=>(~curious(X)&wise(X))))&
((?[X]:((~old(X)&quiet(X))))<=>((patient(mary)... | funny(john) | [] | null | 0 |
If john is not quiet or not rich then someone is both not funny and funny and vice versa.
Everyone who is either humble or not humble is either calm or not calm and vice versa.
If someone is either creative or kind then someone is not curious or brave.
If john is not creative then someone is wise and vice versa.
If luc... | Mary is rich. | entailment | (((~quiet(john)|~rich(john)))<=>(?[X]:((~funny(X)&funny(X)))))&
(![X]:((humble(X)<~>~humble(X))<=>(calm(X)<~>~calm(X))))&
((?[X]:((creative(X)<~>kind(X))))=>(?[X]:((~curious(X)|brave(X)))))&
((~creative(john))<=>(?[X]:(wise(X))))&
((~generous(lucy))<=>((~funny(paul)<~>~humble(paul))))&
(![X]:((creative(X)|~strong(X))<=... | rich(mary) | [
"p5",
"p10",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4582937271731218764802262
% SZS output start Proof for 4582937271731218764802262
6. ! [X0] : ((~strong(X0) | creative(X0)) <=> (~humble(X0) & rich(X0))) [input p5]
11. ! [X0] : ((~creative(X0) | ~curious(X0)) => (creative(X0) <~> kind(X0))) [input p10]
20. ~kind(mary) [input p19]
22. ~str... | 0 |
Everyone who is rich or humble is tall. If fred is rich then someone is either happy or rich and vice versa. If lucy is rich or old then susan is both happy and rich and vice versa. If someone is either not calm or not rich then susan is both rich and not wise and vice versa. If mary is not tall or not curious then mar... | John is tall. | contradiction | (![X]:((rich(X)|humble(X))=>tall(X)))&
((rich(fred))<=>(?[X]:((happy(X)<~>rich(X)))))&
(((rich(lucy)|old(lucy)))<=>((happy(susan)&rich(susan))))&
((?[X]:((~calm(X)<~>~rich(X))))<=>((rich(susan)&~wise(susan))))&
(((~tall(mary)|~curious(mary)))<=>((~quiet(mary)&brave(mary))))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:(~cre... | tall(john) | [
"p0",
"p7",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 140360072867397569992485
% SZS output start Proof for 140360072867397569992485
1. ! [X0] : ((humble(X0) | rich(X0)) => tall(X0)) [input p0]
8. ~tall(john) <=> ? [X0] : (curious(X0) <~> ~calm(X0)) [input p7]
9. ! [X0] : ((~wise(X0) | wise(X0)) => (calm(X0) & old(X0))) [input p8]
13. ! [X0]... | 0 |
Everyone who is happy or brave is both funny and creative and vice versa.
Everyone who is both kind and humble is both kind and brave.
Everyone who is either not patient or old is either not rich or tall and vice versa.
Everyone who is not happy or calm is strong or not curious.
Everyone who is both not humble and old ... | Alice is tall. | contradiction | (![X]:((happy(X)|brave(X))<=>(funny(X)&creative(X))))&
(![X]:((kind(X)&humble(X))=>(kind(X)&brave(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~happy(X)|calm(X))=>(strong(X)|~curious(X))))&
(![X]:((~humble(X)&old(X))<=>~brave(X)))&
(![X]:((curious(X)<~>~curious(X))=>~happy(X)))&
((curious(john... | tall(alice) | [
"p0",
"p4",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4624063374327487296891832
% SZS output start Proof for 4624063374327487296891832
1. ! [X0] : ((brave(X0) | happy(X0)) <=> (creative(X0) & funny(X0))) [input p0]
5. ! [X0] : ((old(X0) & ~humble(X0)) <=> ~brave(X0)) [input p4]
6. ! [X0] : ((curious(X0) <~> ~curious(X0)) => ~happy(X0)) [inpu... | 0 |
Everyone who is not happy or not curious is both funny and not quiet and vice versa.
If someone is either calm or not humble then someone is either kind or funny and vice versa.
If paul is not humble or not quiet then someone is both curious and generous.
Everyone who is not quiet is either not funny or humble.
If john... | Lucy is strong. | entailment | (![X]:((~happy(X)|~curious(X))<=>(funny(X)&~quiet(X))))&
((?[X]:((calm(X)<~>~humble(X))))<=>(?[X]:((kind(X)<~>funny(X)))))&
(((~humble(paul)|~quiet(paul)))=>(?[X]:((curious(X)&generous(X)))))&
(![X]:(~quiet(X)=>(~funny(X)<~>humble(X))))&
((old(john))=>(?[X]:(funny(X))))&
(![X]:((~old(X)&old(X))<=>~wise(X)))&
(((funny(s... | strong(lucy) | [
"p0",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5816484913553637130270402
% SZS output start Proof for 5816484913553637130270402
1. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> (~quiet(X0) & funny(X0))) [input p0]
13. ! [X0] : ((happy(X0) & ~generous(X0)) <=> (~kind(X0) & rich(X0))) [input p12]
16. ! [X0] : ((funny(X0) | generous(X0)) <=>... | 0 |
Everyone who is quiet is strong or humble and vice versa.
Everyone who is both not happy and tall is happy or kind and vice versa.
If someone is not old then paul is either creative or not humble and vice versa.
If someone is either funny or not creative then someone is not generous or kind and vice versa.
Everyone who... | Fred is quiet. | contradiction | (![X]:(quiet(X)<=>(strong(X)|humble(X))))&
(![X]:((~happy(X)&tall(X))<=>(happy(X)|kind(X))))&
((?[X]:(~old(X)))<=>((creative(paul)<~>~humble(paul))))&
((?[X]:((funny(X)<~>~creative(X))))<=>(?[X]:((~generous(X)|kind(X)))))&
(![X]:((wise(X)<~>~calm(X))=>(~patient(X)|kind(X))))&
(![X]:((~funny(X)&~kind(X))=>(generous(X)|~... | quiet(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2210220935709341524301764
% SZS output start Proof for 2210220935709341524301764
10. ! [X0] : (rich(X0) <=> (~rich(X0) & quiet(X0))) [input p9]
21. quiet(fred) [input hypothesis]
49. ! [X0] : ((rich(X0) | (rich(X0) | ~quiet(X0))) & ((~rich(X0) & quiet(X0)) | ~rich(X0))) [nnf transformatio... | 0 |
Everyone who is both curious and not rich is either creative or not old. If someone is not funny then someone is not curious. Everyone who is either not quiet or wise is both curious and tall and vice versa. If someone is not quiet then someone is wise or brave and vice versa. Everyone who is both not funny and patient... | Mary is not creative. | entailment | (![X]:((curious(X)&~rich(X))=>(creative(X)<~>~old(X))))&
((?[X]:(~funny(X)))=>(?[X]:(~curious(X))))&
(![X]:((~quiet(X)<~>wise(X))<=>(curious(X)&tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:((wise(X)|brave(X)))))&
(![X]:((~funny(X)&patient(X))<=>(calm(X)|quiet(X))))&
(![X]:(wise(X)=>(calm(X)|generous(X))))&
((?[X]:((~kind(X)... | ~creative(mary) | [
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4215480658766869296368121
% SZS output start Proof for 4215480658766869296368121
5. ! [X0] : ((patient(X0) & ~funny(X0)) <=> (quiet(X0) | calm(X0))) [input p4]
7. ? [X0] : (~calm(X0) | ~kind(X0)) => (rich(fred) & ~rich(fred)) [input p6]
11. ! [X0] : ((~funny(X0) <~> ~patient(X0)) <=> (bra... | 0 |
If someone is both not quiet and not funny then john is both not rich and not kind and vice versa.
Everyone who is not brave is not generous or generous and vice versa.
Everyone who is both not brave and funny is patient.
If someone is both generous and happy then someone is old or humble and vice versa.
Everyone who i... | Susan is not wise. | contradiction | ((?[X]:((~quiet(X)&~funny(X))))<=>((~rich(john)&~kind(john))))&
(![X]:(~brave(X)<=>(~generous(X)|generous(X))))&
(![X]:((~brave(X)&funny(X))=>patient(X)))&
((?[X]:((generous(X)&happy(X))))<=>(?[X]:((old(X)|humble(X)))))&
(![X]:((~wise(X)&tall(X))=>(humble(X)&calm(X))))&
((?[X]:(creative(X)))=>(?[X]:((patient(X)&~rich(X... | ~wise(susan) | [
"p1",
"p2",
"p6",
"p7",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3698896941586724407958932
% SZS output start Proof for 3698896941586724407958932
2. ! [X0] : (~brave(X0) <=> (generous(X0) | ~generous(X0))) [input p1]
3. ! [X0] : ((funny(X0) & ~brave(X0)) => patient(X0)) [input p2]
7. ! [X0] : ((~generous(X0) | ~brave(X0)) <=> funny(X0)) [input p6]
8. ?... | 0 |
If mary is curious or not curious then susan is either funny or not tall.
If someone is not funny or not creative then susan is either rich or not patient.
Everyone who is both not strong and not tall is wise and vice versa.
If mary is both not humble and humble then someone is either not curious or not funny and vice ... | Susan is not patient. | neutral | (((curious(mary)|~curious(mary)))=>((funny(susan)<~>~tall(susan))))&
((?[X]:((~funny(X)|~creative(X))))=>((rich(susan)<~>~patient(susan))))&
(![X]:((~strong(X)&~tall(X))<=>wise(X)))&
(((~humble(mary)&humble(mary)))<=>(?[X]:((~curious(X)<~>~funny(X)))))&
(![X]:(strong(X)<=>(~wise(X)|~happy(X))))&
(![X]:((~kind(X)|strong... | ~patient(susan) | [] | null | 0 |
Everyone who is both not brave and quiet is not humble or patient and vice versa.
If someone is not quiet or old then someone is not brave or wise and vice versa.
Everyone who is either not happy or not wise is both kind and happy and vice versa.
If someone is funny then someone is not kind or wise and vice versa.
If m... | Paul is not creative. | neutral | (![X]:((~brave(X)&quiet(X))<=>(~humble(X)|patient(X))))&
((?[X]:((~quiet(X)|old(X))))<=>(?[X]:((~brave(X)|wise(X)))))&
(![X]:((~happy(X)<~>~wise(X))<=>(kind(X)&happy(X))))&
((?[X]:(funny(X)))<=>(?[X]:((~kind(X)|wise(X)))))&
((rich(mary))<=>(~funny(john)))&
(![X]:(creative(X)=>strong(X)))&
((?[X]:((~kind(X)|generous(X))... | ~creative(paul) | [] | null | 0 |
If paul is both tall and generous then someone is not creative and vice versa.
Everyone who is quiet or brave is wise.
If someone is both rich and tall then someone is either not quiet or not strong.
Everyone who is not old is kind or creative.
Everyone who is humble or patient is not tall.
If someone is not brave then... | Susan is not curious. | entailment | (((tall(paul)&generous(paul)))<=>(?[X]:(~creative(X))))&
(![X]:((quiet(X)|brave(X))=>wise(X)))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((~quiet(X)<~>~strong(X)))))&
(![X]:(~old(X)=>(kind(X)|creative(X))))&
(![X]:((humble(X)|patient(X))=>~tall(X)))&
((?[X]:(~brave(X)))<=>(?[X]:((~tall(X)|funny(X)))))&
(![X]:((generous(X)|~g... | ~curious(susan) | [
"p0",
"p4",
"p6",
"p7",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3219186594620575117488917
% SZS output start Proof for 3219186594620575117488917
1. (generous(paul) & tall(paul)) <=> ? [X0] : ~creative(X0) [input p0]
5. ! [X0] : ((patient(X0) | humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : ((~generous(X0) | generous(X0)) => (patient(X0) & old(X0))) ... | 0 |
Everyone who is not curious is not happy and vice versa.
Everyone who is not creative or tall is both not quiet and quiet and vice versa.
If someone is either not creative or happy then someone is not creative or happy and vice versa.
Everyone who is either not happy or quiet is tall and vice versa.
Everyone who is ric... | Alice is not quiet. | entailment | (![X]:(~curious(X)<=>~happy(X)))&
(![X]:((~creative(X)|tall(X))<=>(~quiet(X)&quiet(X))))&
((?[X]:((~creative(X)<~>happy(X))))<=>(?[X]:((~creative(X)|happy(X)))))&
(![X]:((~happy(X)<~>quiet(X))<=>tall(X)))&
(![X]:(rich(X)=>(old(X)<~>~tall(X))))&
((?[X]:((tall(X)|~curious(X))))<=>((~wise(fred)&kind(fred))))&
(((quiet(mar... | ~quiet(alice) | [
"p0",
"p1",
"p3",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 9192052262056239575784191
% SZS output start Proof for 9192052262056239575784191
1. ! [X0] : (~curious(X0) <=> ~happy(X0)) [input p0]
2. ! [X0] : ((tall(X0) | ~creative(X0)) <=> (quiet(X0) & ~quiet(X0))) [input p1]
4. ! [X0] : ((~happy(X0) <~> quiet(X0)) <=> tall(X0)) [input p3]
17. curio... | 0 |
Everyone who is not old is both not curious and not funny and vice versa.
If paul is not humble or calm then someone is either not strong or not wise and vice versa.
If someone is funny or kind then someone is either generous or tall and vice versa.
Everyone who is both not funny and not quiet is either humble or stron... | Lucy is rich. | contradiction | (![X]:(~old(X)<=>(~curious(X)&~funny(X))))&
(((~humble(paul)|calm(paul)))<=>(?[X]:((~strong(X)<~>~wise(X)))))&
((?[X]:((funny(X)|kind(X))))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((~funny(X)&~quiet(X))<=>(humble(X)<~>strong(X))))&
(![X]:((~kind(X)&brave(X))<=>(calm(X)&~calm(X))))&
((?[X]:((funny(X)&tall(X))))=>(?[X... | rich(lucy) | [
"p0",
"p4",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6915816386187478125668733
% SZS output start Proof for 6915816386187478125668733
1. ! [X0] : (~old(X0) <=> (~funny(X0) & ~curious(X0))) [input p0]
5. ! [X0] : ((brave(X0) & ~kind(X0)) <=> (~calm(X0) & calm(X0))) [input p4]
9. ? [X0] : (~curious(X0) | creative(X0)) => (patient(lucy) & ~pat... | 0 |
If someone is both not creative and humble then mary is either calm or not old and vice versa. Everyone who is either strong or old is both not creative and not curious. Everyone who is both not curious and humble is either humble or creative and vice versa. If lucy is calm then mary is not curious or curious and vice ... | Paul is quiet. | neutral | ((?[X]:((~creative(X)&humble(X))))<=>((calm(mary)<~>~old(mary))))&
(![X]:((strong(X)<~>old(X))=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&humble(X))<=>(humble(X)<~>creative(X))))&
((calm(lucy))<=>((~curious(mary)|curious(mary))))&
(![X]:((~wise(X)|strong(X))<=>~creative(X)))&
(((~brave(lucy)|~curious(lucy)))=>(... | quiet(paul) | [] | null | 0 |
If lucy is either creative or not patient then mary is either patient or not creative.
If someone is both not humble and funny then paul is happy.
If john is not rich or not quiet then someone is either rich or strong.
If lucy is either creative or happy then john is both patient and not generous.
Everyone who is both ... | Mary is creative. | contradiction | (((creative(lucy)<~>~patient(lucy)))=>((patient(mary)<~>~creative(mary))))&
((?[X]:((~humble(X)&funny(X))))=>(happy(paul)))&
(((~rich(john)|~quiet(john)))=>(?[X]:((rich(X)<~>strong(X)))))&
(((creative(lucy)<~>happy(lucy)))=>((patient(john)&~generous(john))))&
(![X]:((rich(X)&~old(X))=>(old(X)|generous(X))))&
((?[X]:(~f... | creative(mary) | [
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1358735170057204736308770
% SZS output start Proof for 1358735170057204736308770
8. ? [X0] : (~patient(X0) | quiet(X0)) => (~creative(mary) & ~generous(mary)) [input p7]
10. ! [X0] : ((~funny(X0) & patient(X0)) <=> (rich(X0) | ~rich(X0))) [input p9]
11. ! [X0] : ((~quiet(X0) | ~creative(X... | 0 |
If someone is both not brave and not patient then someone is either not happy or old and vice versa.
If fred is either not brave or not creative then mary is either curious or not creative and vice versa.
If paul is both tall and not generous then someone is either strong or not happy and vice versa.
Everyone who is st... | Mary is not old. | contradiction | ((?[X]:((~brave(X)&~patient(X))))<=>(?[X]:((~happy(X)<~>old(X)))))&
(((~brave(fred)<~>~creative(fred)))<=>((curious(mary)<~>~creative(mary))))&
(((tall(paul)&~generous(paul)))<=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:(strong(X)<=>(old(X)&humble(X))))&
((?[X]:(patient(X)))<=>(?[X]:((happy(X)|~quiet(X)))))&
(![X]:((~qu... | ~old(mary) | [
"p2",
"p3",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3063394826882888049232362
% SZS output start Proof for 3063394826882888049232362
3. (~generous(paul) & tall(paul)) <=> ? [X0] : (strong(X0) <~> ~happy(X0)) [input p2]
4. ! [X0] : (strong(X0) <=> (humble(X0) & old(X0))) [input p3]
10. ! [X0] : ((~happy(X0) & old(X0)) <=> (~happy(X0) <~> ~o... | 0 |
If alice is either not old or not creative then someone is quiet and vice versa.
If mary is either not generous or not quiet then someone is either curious or not strong and vice versa.
If paul is both not calm and not kind then someone is both rich and brave and vice versa.
Everyone who is either generous or not funny... | Alice is brave. | neutral | (((~old(alice)<~>~creative(alice)))<=>(?[X]:(quiet(X))))&
(((~generous(mary)<~>~quiet(mary)))<=>(?[X]:((curious(X)<~>~strong(X)))))&
(((~calm(paul)&~kind(paul)))<=>(?[X]:((rich(X)&brave(X)))))&
(![X]:((generous(X)<~>~funny(X))<=>(strong(X)<~>happy(X))))&
(![X]:((rich(X)&~wise(X))<=>(~wise(X)|generous(X))))&
(![X]:((kin... | brave(alice) | [] | null | 0 |
If someone is quiet or rich then susan is not happy or brave.
Everyone who is not wise is not creative or not wise and vice versa.
Everyone who is either not humble or humble is not funny or not wise and vice versa.
Everyone who is both not creative and old is either tall or patient.
If someone is creative or not calm ... | Paul is patient. | entailment | ((?[X]:((quiet(X)|rich(X))))=>((~happy(susan)|brave(susan))))&
(![X]:(~wise(X)<=>(~creative(X)|~wise(X))))&
(![X]:((~humble(X)<~>humble(X))<=>(~funny(X)|~wise(X))))&
(![X]:((~creative(X)&old(X))=>(tall(X)<~>patient(X))))&
((?[X]:((creative(X)|~calm(X))))<=>(happy(lucy)))&
(![X]:((patient(X)&~curious(X))=>(strong(X)|~qu... | patient(paul) | [
"p4",
"p10",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 799700346147502048811494
% SZS output start Proof for 799700346147502048811494
5. ? [X0] : (~calm(X0) | creative(X0)) <=> happy(lucy) [input p4]
11. (funny(paul) | rich(paul)) <=> (~happy(lucy) & curious(lucy)) [input p10]
14. ! [X0] : ((~patient(X0) | old(X0)) => (funny(X0) & calm(X0))) ... | 0 |
Everyone who is generous is not rich and vice versa. If someone is either not kind or strong then paul is not generous. If susan is rich or not calm then fred is either calm or wise. Everyone who is not funny or rich is either not rich or not funny. Everyone who is either strong or not funny is both quiet and happy. If... | Fred is not brave. | neutral | (![X]:(generous(X)<=>~rich(X)))&
((?[X]:((~kind(X)<~>strong(X))))=>(~generous(paul)))&
(((rich(susan)|~calm(susan)))=>((calm(fred)<~>wise(fred))))&
(![X]:((~funny(X)|rich(X))=>(~rich(X)<~>~funny(X))))&
(![X]:((strong(X)<~>~funny(X))=>(quiet(X)&happy(X))))&
(((curious(susan)&kind(susan)))=>((curious(fred)<~>~patient(fre... | ~brave(fred) | [] | null | 0 |
If someone is both not kind and not patient then someone is both curious and quiet. If someone is not humble then john is either brave or rich and vice versa. If paul is not humble or old then someone is either not creative or not strong. If alice is both creative and tall then someone is funny and vice versa. If someo... | Mary is strong. | entailment | ((?[X]:((~kind(X)&~patient(X))))=>(?[X]:((curious(X)&quiet(X)))))&
((?[X]:(~humble(X)))<=>((brave(john)<~>rich(john))))&
(((~humble(paul)|old(paul)))=>(?[X]:((~creative(X)<~>~strong(X)))))&
(((creative(alice)&tall(alice)))<=>(?[X]:(funny(X))))&
((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:((curious(X)<~>~old(X)))))&
(![X]:... | strong(mary) | [
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3304632675676413764653640
% SZS output start Proof for 3304632675676413764653640
9. ! [X0] : ((~wise(X0) | ~strong(X0)) <=> (~humble(X0) & calm(X0))) [input p8]
10. ! [X0] : ((patient(X0) & ~funny(X0)) <=> (wise(X0) <~> ~wise(X0))) [input p9]
13. ! [X0] : ((funny(X0) <~> patient(X0)) => h... | 0 |
Everyone who is not funny or quiet is strong or generous and vice versa.
If someone is both not curious and not funny then paul is either curious or not wise.
If fred is not curious then someone is strong or not calm and vice versa.
Everyone who is not creative or curious is both not rich and wise and vice versa.
If so... | Susan is humble. | neutral | (![X]:((~funny(X)|quiet(X))<=>(strong(X)|generous(X))))&
((?[X]:((~curious(X)&~funny(X))))=>((curious(paul)<~>~wise(paul))))&
((~curious(fred))<=>(?[X]:((strong(X)|~calm(X)))))&
(![X]:((~creative(X)|curious(X))<=>(~rich(X)&wise(X))))&
((?[X]:(strong(X)))<=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((~funny(X)<~>~rich(X))... | humble(susan) | [] | null | 0 |
Everyone who is not creative or not quiet is not brave.
If someone is not tall or not kind then someone is not kind or creative.
If someone is not funny then fred is not kind or strong.
If someone is both not patient and patient then someone is both not brave and not humble.
Everyone who is both wise and patient is bot... | Fred is rich. | contradiction | (![X]:((~creative(X)|~quiet(X))=>~brave(X)))&
((?[X]:((~tall(X)|~kind(X))))=>(?[X]:((~kind(X)|creative(X)))))&
((?[X]:(~funny(X)))=>((~kind(fred)|strong(fred))))&
((?[X]:((~patient(X)&patient(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:((wise(X)&patient(X))<=>(quiet(X)&~happy(X))))&
(![X]:(funny(X)<=>(tall(X)<~>rich... | rich(fred) | [
"p6",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2207376629934528616429699
% SZS output start Proof for 2207376629934528616429699
7. ! [X0] : ((~curious(X0) | brave(X0)) <=> ~patient(X0)) [input p6]
12. ! [X0] : ((curious(X0) | ~curious(X0)) <=> (~brave(X0) & happy(X0))) [input p11]
14. ! [X0] : ((strong(X0) | happy(X0)) => (old(X0) & ~... | 0 |
If fred is either not calm or old then susan is quiet.
If someone is not quiet then someone is both not curious and not tall and vice versa.
Everyone who is both generous and quiet is not curious.
If mary is both not wise and rich then someone is strong.
Everyone who is either not calm or wise is not old and vice versa... | John is not calm. | neutral | (((~calm(fred)<~>old(fred)))=>(quiet(susan)))&
((?[X]:(~quiet(X)))<=>(?[X]:((~curious(X)&~tall(X)))))&
(![X]:((generous(X)&quiet(X))=>~curious(X)))&
(((~wise(mary)&rich(mary)))=>(?[X]:(strong(X))))&
(![X]:((~calm(X)<~>wise(X))<=>~old(X)))&
(![X]:((funny(X)&~wise(X))=>(~wise(X)<~>rich(X))))&
(((generous(paul)|~wise(paul... | ~calm(john) | [] | null | 0 |
Everyone who is either not creative or not tall is not calm.
If someone is strong then someone is both not rich and curious and vice versa.
If lucy is quiet or patient then someone is strong or not tall.
If mary is kind or old then someone is not curious.
If someone is both humble and not brave then someone is both not... | Mary is not funny. | neutral | (![X]:((~creative(X)<~>~tall(X))=>~calm(X)))&
((?[X]:(strong(X)))<=>(?[X]:((~rich(X)&curious(X)))))&
(((quiet(lucy)|patient(lucy)))=>(?[X]:((strong(X)|~tall(X)))))&
(((kind(mary)|old(mary)))=>(?[X]:(~curious(X))))&
((?[X]:((humble(X)&~brave(X))))<=>(?[X]:((~quiet(X)&curious(X)))))&
((?[X]:((old(X)<~>~funny(X))))=>(?[X]... | ~funny(mary) | [] | null | 0 |
Everyone who is funny or brave is either tall or patient.
Everyone who is not wise or not strong is both funny and not strong and vice versa.
If someone is generous then paul is both patient and not strong.
Everyone who is both not happy and not humble is both not happy and rich and vice versa.
Everyone who is both hap... | Alice is not calm. | neutral | (![X]:((funny(X)|brave(X))=>(tall(X)<~>patient(X))))&
(![X]:((~wise(X)|~strong(X))<=>(funny(X)&~strong(X))))&
((?[X]:(generous(X)))=>((patient(paul)&~strong(paul))))&
(![X]:((~happy(X)&~humble(X))<=>(~happy(X)&rich(X))))&
(![X]:((happy(X)&brave(X))=>(kind(X)<~>~humble(X))))&
((~patient(lucy))=>(quiet(paul)))&
((?[X]:((... | ~calm(alice) | [] | null | 0 |
If someone is not curious then john is both happy and not strong.
Everyone who is either humble or rich is tall or not patient and vice versa.
Everyone who is both generous and strong is brave or happy and vice versa.
Everyone who is not old or not kind is not funny.
If john is either wise or not funny then someone is ... | Susan is not quiet. | entailment | ((?[X]:(~curious(X)))=>((happy(john)&~strong(john))))&
(![X]:((humble(X)<~>rich(X))<=>(tall(X)|~patient(X))))&
(![X]:((generous(X)&strong(X))<=>(brave(X)|happy(X))))&
(![X]:((~old(X)|~kind(X))=>~funny(X)))&
(((wise(john)<~>~funny(john)))<=>(?[X]:((curious(X)<~>rich(X)))))&
(![X]:((rich(X)&~brave(X))<=>patient(X)))&
((?... | ~quiet(susan) | [
"p0",
"p2",
"p3",
"p4",
"p7",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2467973345217521893783887
% SZS output start Proof for 2467973345217521893783887
1. ? [X0] : ~curious(X0) => (~strong(john) & happy(john)) [input p0]
3. ! [X0] : ((strong(X0) & generous(X0)) <=> (happy(X0) | brave(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~old(X0)) => ~funny(X0)) [input ... | 0 |
If someone is not funny or old then someone is either not patient or happy.
Everyone who is both old and generous is creative or generous.
If someone is calm or brave then someone is wise and vice versa.
Everyone who is both not curious and wise is not quiet or not kind and vice versa.
If someone is strong or not creat... | Lucy is not quiet. | contradiction | ((?[X]:((~funny(X)|old(X))))=>(?[X]:((~patient(X)<~>happy(X)))))&
(![X]:((old(X)&generous(X))=>(creative(X)|generous(X))))&
((?[X]:((calm(X)|brave(X))))<=>(?[X]:(wise(X))))&
(![X]:((~curious(X)&wise(X))<=>(~quiet(X)|~kind(X))))&
((?[X]:((strong(X)|~creative(X))))=>(?[X]:((~humble(X)|~curious(X)))))&
((?[X]:((~funny(X)|... | ~quiet(lucy) | [
"p3",
"p5",
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8375982391312974397942160
% SZS output start Proof for 8375982391312974397942160
4. ! [X0] : ((wise(X0) & ~curious(X0)) <=> (~kind(X0) | ~quiet(X0))) [input p3]
6. ? [X0] : (patient(X0) | ~funny(X0)) <=> ? [X0] : (~humble(X0) & ~creative(X0)) [input p5]
7. ! [X0] : ((funny(X0) <~> strong(... | 0 |
Everyone who is either not happy or not old is both not happy and wise and vice versa.
Everyone who is not happy or patient is old.
Everyone who is both creative and wise is both old and not old and vice versa.
Everyone who is tall or not strong is humble.
If mary is not calm or patient then someone is both not strong ... | Mary is not calm. | neutral | (![X]:((~happy(X)<~>~old(X))<=>(~happy(X)&wise(X))))&
(![X]:((~happy(X)|patient(X))=>old(X)))&
(![X]:((creative(X)&wise(X))<=>(old(X)&~old(X))))&
(![X]:((tall(X)|~strong(X))=>humble(X)))&
(((~calm(mary)|patient(mary)))<=>(?[X]:((~strong(X)&kind(X)))))&
((patient(alice))<=>((~quiet(susan)<~>~strong(susan))))&
((?[X]:((o... | ~calm(mary) | [] | null | 0 |
Everyone who is both rich and humble is either rich or not curious and vice versa.
Everyone who is either happy or calm is not creative and vice versa.
Everyone who is tall or not kind is either not patient or creative.
Everyone who is rich is both funny and not kind and vice versa.
Everyone who is not kind is either q... | Paul is not happy. | contradiction | (![X]:((rich(X)&humble(X))<=>(rich(X)<~>~curious(X))))&
(![X]:((happy(X)<~>calm(X))<=>~creative(X)))&
(![X]:((tall(X)|~kind(X))=>(~patient(X)<~>creative(X))))&
(![X]:(rich(X)<=>(funny(X)&~kind(X))))&
(![X]:(~kind(X)<=>(quiet(X)<~>~rich(X))))&
(((~kind(susan)<~>~generous(susan)))<=>((~creative(susan)&quiet(susan))))&
((... | ~happy(paul) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 76434152488404729182354
% SZS output start Proof for 76434152488404729182354
1. ! [X0] : ((humble(X0) & rich(X0)) <=> (rich(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : (rich(X0) <=> (~kind(X0) & funny(X0))) [input p3]
5. ! [X0] : (~kind(X0) <=> (quiet(X0) <~> ~rich(X0))) [input p4]
9. !... | 0 |
Everyone who is curious or tall is both not patient and not curious.
Everyone who is old is either happy or not creative.
Everyone who is both strong and calm is curious.
Everyone who is either not generous or not strong is either happy or generous.
Everyone who is both not patient and not humble is either not happy or... | Alice is kind. | entailment | (![X]:((curious(X)|tall(X))=>(~patient(X)&~curious(X))))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((strong(X)&calm(X))=>curious(X)))&
(![X]:((~generous(X)<~>~strong(X))=>(happy(X)<~>generous(X))))&
(![X]:((~patient(X)&~humble(X))=>(~happy(X)<~>~wise(X))))&
(![X]:((humble(X)&curious(X))=>(~curious(X)|~rich(X))... | kind(alice) | [
"p0",
"p2",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 330881048216852881334783
% SZS output start Proof for 330881048216852881334783
1. ! [X0] : ((tall(X0) | curious(X0)) => (~curious(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((calm(X0) & strong(X0)) => curious(X0)) [input p2]
7. ! [X0] : (~old(X0) <=> (~strong(X0) | ~calm(X0))) [input p6]... | 0 |
Everyone who is either not old or not happy is either not creative or not humble.
If paul is wise then someone is not strong.
Everyone who is not calm is kind.
If someone is either quiet or brave then alice is quiet or not rich and vice versa.
Everyone who is not strong is not rich.
Everyone who is curious is quiet.
Ev... | Fred is not strong. | neutral | (![X]:((~old(X)<~>~happy(X))=>(~creative(X)<~>~humble(X))))&
((wise(paul))=>(?[X]:(~strong(X))))&
(![X]:(~calm(X)=>kind(X)))&
((?[X]:((quiet(X)<~>brave(X))))<=>((quiet(alice)|~rich(alice))))&
(![X]:(~strong(X)=>~rich(X)))&
(![X]:(curious(X)=>quiet(X)))&
(![X]:(~creative(X)<=>(curious(X)<~>quiet(X))))&
(![X]:(happy(X)<=... | ~strong(fred) | [] | null | 0 |
If someone is either not funny or not quiet then someone is both not creative and humble and vice versa. Everyone who is either not strong or not quiet is calm. If someone is either not kind or not tall then alice is both kind and not happy and vice versa. Everyone who is wise is both rich and not happy. If alice is wi... | John is not strong. | entailment | ((?[X]:((~funny(X)<~>~quiet(X))))<=>(?[X]:((~creative(X)&humble(X)))))&
(![X]:((~strong(X)<~>~quiet(X))=>calm(X)))&
((?[X]:((~kind(X)<~>~tall(X))))<=>((kind(alice)&~happy(alice))))&
(![X]:(wise(X)=>(rich(X)&~happy(X))))&
((wise(alice))=>(?[X]:((~patient(X)|rich(X)))))&
(((~humble(mary)<~>generous(mary)))=>(?[X]:(strong... | ~strong(john) | [
"p3",
"p9",
"p11",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7290203881361009734107431
% SZS output start Proof for 7290203881361009734107431
4. ! [X0] : (wise(X0) => (~happy(X0) & rich(X0))) [input p3]
10. ! [X0] : ((humble(X0) <~> ~humble(X0)) => (quiet(X0) & funny(X0))) [input p9]
12. ! [X0] : (strong(X0) => patient(X0)) [input p11]
15. ! [X0] :... | 0 |
If alice is rich then lucy is either strong or not kind.
If paul is rich then someone is either strong or not happy and vice versa.
Everyone who is not curious or not generous is generous and vice versa.
Everyone who is both not kind and not strong is not creative or wise.
Everyone who is humble is quiet.
If lucy is ca... | Paul is old. | contradiction | ((rich(alice))=>((strong(lucy)<~>~kind(lucy))))&
((rich(paul))<=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:((~curious(X)|~generous(X))<=>generous(X)))&
(![X]:((~kind(X)&~strong(X))=>(~creative(X)|wise(X))))&
(![X]:(humble(X)=>quiet(X)))&
(((calm(lucy)|strong(lucy)))=>(?[X]:((curious(X)<~>~wise(X)))))&
(![X]:((~happy(X)|... | old(paul) | [
"p2",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4502932449699230452394641
% SZS output start Proof for 4502932449699230452394641
3. ! [X0] : ((~generous(X0) | ~curious(X0)) <=> generous(X0)) [input p2]
8. ! [X0] : ((generous(X0) | ~brave(X0)) => (calm(X0) & patient(X0))) [input p7]
9. (~rich(paul) | old(paul)) => (~quiet(alice) & ~pati... | 0 |
Everyone who is either curious or not tall is both not old and not calm and vice versa.
Everyone who is quiet is not calm or generous.
If someone is not quiet or strong then susan is both strong and curious and vice versa.
Everyone who is both not happy and not old is funny and vice versa.
Everyone who is funny or tall... | Mary is not wise. | entailment | (![X]:((curious(X)<~>~tall(X))<=>(~old(X)&~calm(X))))&
(![X]:(quiet(X)=>(~calm(X)|generous(X))))&
((?[X]:((~quiet(X)|strong(X))))<=>((strong(susan)&curious(susan))))&
(![X]:((~happy(X)&~old(X))<=>funny(X)))&
(![X]:((funny(X)|tall(X))=>(curious(X)&~wise(X))))&
((?[X]:((~curious(X)&calm(X))))=>((~generous(lucy)&~creative... | ~wise(mary) | [
"p3",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2993803215279873799517108
% SZS output start Proof for 2993803215279873799517108
4. ! [X0] : ((~old(X0) & ~happy(X0)) <=> funny(X0)) [input p3]
15. ? [X0] : wise(X0) <=> (~patient(alice) & funny(alice)) [input p14]
24. ~happy(alice) <~> ~patient(alice) [input p23]
25. wise(mary) [input hy... | 0 |
If someone is not happy then paul is either creative or brave.
If someone is either calm or curious then lucy is funny and vice versa.
Everyone who is either not strong or tall is not funny.
If alice is either not quiet or not creative then lucy is both not funny and not calm and vice versa.
If someone is either not cr... | Alice is not rich. | neutral | ((?[X]:(~happy(X)))=>((creative(paul)<~>brave(paul))))&
((?[X]:((calm(X)<~>curious(X))))<=>(funny(lucy)))&
(![X]:((~strong(X)<~>tall(X))=>~funny(X)))&
(((~quiet(alice)<~>~creative(alice)))<=>((~funny(lucy)&~calm(lucy))))&
((?[X]:((~creative(X)<~>~happy(X))))=>(?[X]:((brave(X)|kind(X)))))&
((~calm(lucy))<=>(?[X]:(~brave... | ~rich(alice) | [] | null | 0 |
If someone is both funny and not quiet then someone is not funny or quiet.
Everyone who is either not humble or not rich is calm and vice versa.
Everyone who is either humble or calm is either strong or rich.
Everyone who is not happy is either not happy or not humble and vice versa.
Everyone who is both not humble and... | Lucy is not brave. | neutral | ((?[X]:((funny(X)&~quiet(X))))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~rich(X))<=>calm(X)))&
(![X]:((humble(X)<~>calm(X))=>(strong(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((~humble(X)&kind(X))<=>(~humble(X)&quiet(X))))&
(((humble(fred)<~>curious(fred)))=>(?[X]:((~humble(X)&~... | ~brave(lucy) | [] | null | 0 |
If someone is both not happy and patient then someone is both wise and rich and vice versa.
Everyone who is old or patient is happy.
Everyone who is strong or funny is either not kind or not curious.
If john is both not wise and generous then john is both wise and not curious.
Everyone who is funny is not quiet or crea... | Alice is funny. | entailment | ((?[X]:((~happy(X)&patient(X))))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((old(X)|patient(X))=>happy(X)))&
(![X]:((strong(X)|funny(X))=>(~kind(X)<~>~curious(X))))&
(((~wise(john)&generous(john)))=>((wise(john)&~curious(john))))&
(![X]:(funny(X)<=>(~quiet(X)|creative(X))))&
(![X]:((funny(X)<~>~creative(X))=>(generous(X)|ki... | funny(alice) | [
"p4",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2126222567447645849957382
% SZS output start Proof for 2126222567447645849957382
5. ! [X0] : (funny(X0) <=> (creative(X0) | ~quiet(X0))) [input p4]
17. ~tall(alice) & ~quiet(alice) [input p16]
24. ~funny(alice) [input hypothesis]
48. ! [X0] : ((funny(X0) | (~creative(X0) & quiet(X0))) & (... | 0 |
If susan is quiet then someone is patient or not brave. If susan is either wise or happy then fred is both not wise and not funny. If mary is curious or not patient then someone is not quiet or brave. Everyone who is not strong is both creative and not generous and vice versa. If mary is either not old or old then some... | Lucy is humble. | entailment | ((quiet(susan))=>(?[X]:((patient(X)|~brave(X)))))&
(((wise(susan)<~>happy(susan)))=>((~wise(fred)&~funny(fred))))&
(((curious(mary)|~patient(mary)))=>(?[X]:((~quiet(X)|brave(X)))))&
(![X]:(~strong(X)<=>(creative(X)&~generous(X))))&
(((~old(mary)<~>old(mary)))=>(?[X]:((calm(X)|funny(X)))))&
(((generous(lucy)|kind(lucy))... | humble(lucy) | [
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3147763064169973023804071
% SZS output start Proof for 3147763064169973023804071
4. ! [X0] : (~strong(X0) <=> (~generous(X0) & creative(X0))) [input p3]
11. ! [X0] : ((strong(X0) | creative(X0)) <=> (humble(X0) & happy(X0))) [input p10]
24. ~humble(lucy) [input hypothesis]
43. ! [X0] : ((... | 0 |
If someone is wise or kind then someone is brave or strong.
Everyone who is not funny is both not funny and tall and vice versa.
If someone is tall or kind then someone is both humble and not kind and vice versa.
Everyone who is not humble is both old and not curious.
Everyone who is generous is both not curious and no... | Mary is not kind. | entailment | ((?[X]:((wise(X)|kind(X))))=>(?[X]:((brave(X)|strong(X)))))&
(![X]:(~funny(X)<=>(~funny(X)&tall(X))))&
((?[X]:((tall(X)|kind(X))))<=>(?[X]:((humble(X)&~kind(X)))))&
(![X]:(~humble(X)=>(old(X)&~curious(X))))&
(![X]:(generous(X)=>(~curious(X)&~kind(X))))&
(![X]:((tall(X)|strong(X))=>(generous(X)&~patient(X))))&
(((~creat... | ~kind(mary) | [
"p3",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4495364254248191827357647
% SZS output start Proof for 4495364254248191827357647
4. ! [X0] : (~humble(X0) => (~curious(X0) & old(X0))) [input p3]
13. ! [X0] : ((humble(X0) & strong(X0)) <=> (~brave(X0) | old(X0))) [input p12]
16. ? [X0] : kind(X0) <=> ? [X0] : (~brave(X0) & ~humble(X0)) [... | 0 |
Everyone who is both not quiet and not strong is both calm and kind. If alice is both quiet and creative then john is both calm and tall. If lucy is both not humble and curious then paul is not patient and vice versa. If mary is both not creative and old then lucy is either not tall or generous. Everyone who is both no... | Fred is rich. | entailment | (![X]:((~quiet(X)&~strong(X))=>(calm(X)&kind(X))))&
(((quiet(alice)&creative(alice)))=>((calm(john)&tall(john))))&
(((~humble(lucy)&curious(lucy)))<=>(~patient(paul)))&
(((~creative(mary)&old(mary)))=>((~tall(lucy)<~>generous(lucy))))&
(![X]:((~quiet(X)&~creative(X))<=>(tall(X)&kind(X))))&
(((old(lucy)&~rich(lucy)))<=>... | rich(fred) | [
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4696182323647205558732988
% SZS output start Proof for 4696182323647205558732988
10. ! [X0] : ((brave(X0) | calm(X0)) <=> (~patient(X0) <~> rich(X0))) [input p9]
11. ! [X0] : (~rich(X0) => (tall(X0) & brave(X0))) [input p10]
12. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (~rich(X0) | kind(X... | 0 |
If alice is both not strong and not creative then someone is not strong or wise.
If paul is not curious or not humble then lucy is not humble and vice versa.
If mary is either not kind or not funny then someone is not old.
If paul is not brave then alice is kind or not creative.
Everyone who is either funny or not quie... | Paul is tall. | neutral | (((~strong(alice)&~creative(alice)))=>(?[X]:((~strong(X)|wise(X)))))&
(((~curious(paul)|~humble(paul)))<=>(~humble(lucy)))&
(((~kind(mary)<~>~funny(mary)))=>(?[X]:(~old(X))))&
((~brave(paul))=>((kind(alice)|~creative(alice))))&
(![X]:((funny(X)<~>~quiet(X))<=>(creative(X)|curious(X))))&
(![X]:((~generous(X)&funny(X))=>... | tall(paul) | [] | null | 0 |
If john is both not kind and not rich then mary is either creative or happy and vice versa.
Everyone who is kind is strong.
Everyone who is patient is either not old or not calm and vice versa.
Everyone who is either not quiet or happy is not patient or wise.
Everyone who is funny or not brave is both wise and not gene... | Lucy is patient. | neutral | (((~kind(john)&~rich(john)))<=>((creative(mary)<~>happy(mary))))&
(![X]:(kind(X)=>strong(X)))&
(![X]:(patient(X)<=>(~old(X)<~>~calm(X))))&
(![X]:((~quiet(X)<~>happy(X))=>(~patient(X)|wise(X))))&
(![X]:((funny(X)|~brave(X))=>(wise(X)&~generous(X))))&
(((~creative(alice)&old(alice)))=>(calm(alice)))&
(((quiet(lucy)<~>~ki... | patient(lucy) | [] | null | 0 |
If lucy is quiet then someone is either not calm or not strong and vice versa.
Everyone who is both tall and old is either curious or not happy.
Everyone who is either curious or creative is not brave or strong and vice versa.
Everyone who is not humble is both humble and tall and vice versa.
If mary is both old and hu... | Fred is not happy. | neutral | ((quiet(lucy))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((tall(X)&old(X))=>(curious(X)<~>~happy(X))))&
(![X]:((curious(X)<~>creative(X))<=>(~brave(X)|strong(X))))&
(![X]:(~humble(X)<=>(humble(X)&tall(X))))&
(((old(mary)&humble(mary)))=>(~patient(alice)))&
(![X]:((curious(X)|~funny(X))=>(creative(X)|~happy(X))))&
((~c... | ~happy(fred) | [] | null | 0 |
Everyone who is both happy and not rich is both quiet and calm.
If someone is both not old and not rich then paul is strong.
If alice is kind then someone is both not curious and not humble.
If susan is wise or creative then paul is funny or not creative.
If someone is either generous or not humble then mary is both no... | Mary is not patient. | entailment | (![X]:((happy(X)&~rich(X))=>(quiet(X)&calm(X))))&
((?[X]:((~old(X)&~rich(X))))=>(strong(paul)))&
((kind(alice))=>(?[X]:((~curious(X)&~humble(X)))))&
(((wise(susan)|creative(susan)))=>((funny(paul)|~creative(paul))))&
((?[X]:((generous(X)<~>~humble(X))))=>((~creative(mary)&~kind(mary))))&
((?[X]:((~curious(X)&~tall(X)))... | ~patient(mary) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 891122283066731267690222
% SZS output start Proof for 891122283066731267690222
1. ! [X0] : ((~rich(X0) & happy(X0)) => (calm(X0) & quiet(X0))) [input p0]
7. ! [X0] : ((~rich(X0) | ~funny(X0)) <=> (~curious(X0) <~> patient(X0))) [input p6]
8. ! [X0] : ((~old(X0) & ~curious(X0)) <=> ~funny(... | 0 |
If paul is both curious and rich then john is not happy or not humble and vice versa.
Everyone who is calm or not creative is both patient and not kind.
Everyone who is both not funny and not brave is creative or not tall and vice versa.
If fred is both not happy and not tall then someone is either kind or happy and vi... | Susan is creative. | neutral | (((curious(paul)&rich(paul)))<=>((~happy(john)|~humble(john))))&
(![X]:((calm(X)|~creative(X))=>(patient(X)&~kind(X))))&
(![X]:((~funny(X)&~brave(X))<=>(creative(X)|~tall(X))))&
(((~happy(fred)&~tall(fred)))<=>(?[X]:((kind(X)<~>happy(X)))))&
(((tall(john)&rich(john)))<=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((~calm(X)... | creative(susan) | [] | null | 0 |
Everyone who is not creative or strong is not humble and vice versa.
Everyone who is either not old or not curious is patient.
If alice is kind then susan is either wise or not tall and vice versa.
Everyone who is either tall or not patient is either wise or not wise and vice versa.
Everyone who is either not rich or c... | Alice is not creative. | neutral | (![X]:((~creative(X)|strong(X))<=>~humble(X)))&
(![X]:((~old(X)<~>~curious(X))=>patient(X)))&
((kind(alice))<=>((wise(susan)<~>~tall(susan))))&
(![X]:((tall(X)<~>~patient(X))<=>(wise(X)<~>~wise(X))))&
(![X]:((~rich(X)<~>curious(X))<=>(~strong(X)<~>~humble(X))))&
((wise(fred))<=>(?[X]:((wise(X)|humble(X)))))&
(![X]:((~c... | ~creative(alice) | [] | null | 0 |
Everyone who is not creative or not generous is strong or tall and vice versa. If paul is brave then alice is either strong or generous. If lucy is either strong or not generous then susan is either brave or not quiet. Everyone who is either funny or generous is both humble and not patient and vice versa. If paul is bo... | Paul is tall. | entailment | (![X]:((~creative(X)|~generous(X))<=>(strong(X)|tall(X))))&
((brave(paul))=>((strong(alice)<~>generous(alice))))&
(((strong(lucy)<~>~generous(lucy)))=>((brave(susan)<~>~quiet(susan))))&
(![X]:((funny(X)<~>generous(X))<=>(humble(X)&~patient(X))))&
(((tall(paul)&~wise(paul)))<=>(?[X]:(~old(X))))&
((?[X]:(kind(X)))<=>(?[X... | tall(paul) | [
"p4",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1800134137322262623747617
% SZS output start Proof for 1800134137322262623747617
5. (~wise(paul) & tall(paul)) <=> ? [X0] : ~old(X0) [input p4]
18. creative(fred) & ~old(fred) [input p17]
25. ~tall(paul) [input hypothesis]
43. ((~wise(paul) & tall(paul)) | ! [X0] : old(X0)) & (? [X0] : ~o... | 0 |
Everyone who is calm or not curious is both rich and kind. Everyone who is not calm is not humble and vice versa. Everyone who is wise or funny is both not old and old. If someone is either not quiet or not wise then someone is both curious and not rich. Everyone who is not quiet is either not tall or brave and vice ve... | John is generous. | neutral | (![X]:((calm(X)|~curious(X))=>(rich(X)&kind(X))))&
(![X]:(~calm(X)<=>~humble(X)))&
(![X]:((wise(X)|funny(X))=>(~old(X)&old(X))))&
((?[X]:((~quiet(X)<~>~wise(X))))=>(?[X]:((curious(X)&~rich(X)))))&
(![X]:(~quiet(X)<=>(~tall(X)<~>brave(X))))&
(![X]:((strong(X)<~>~calm(X))=>(quiet(X)|~happy(X))))&
(![X]:(happy(X)<=>(~wise... | generous(john) | [] | null | 0 |
Everyone who is both not creative and brave is happy and vice versa.
Everyone who is not rich or strong is both not generous and not brave and vice versa.
If someone is strong then someone is both not strong and not tall and vice versa.
Everyone who is both not tall and not generous is kind or strong and vice versa.
Ev... | Paul is not calm. | contradiction | (![X]:((~creative(X)&brave(X))<=>happy(X)))&
(![X]:((~rich(X)|strong(X))<=>(~generous(X)&~brave(X))))&
((?[X]:(strong(X)))<=>(?[X]:((~strong(X)&~tall(X)))))&
(![X]:((~tall(X)&~generous(X))<=>(kind(X)|strong(X))))&
(![X]:((creative(X)&wise(X))=>(~tall(X)&tall(X))))&
((?[X]:((~brave(X)|kind(X))))=>(?[X]:((~rich(X)&genero... | ~calm(paul) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6122229941850440114127953
% SZS output start Proof for 6122229941850440114127953
1. ! [X0] : ((brave(X0) & ~creative(X0)) <=> happy(X0)) [input p0]
2. ! [X0] : ((strong(X0) | ~rich(X0)) <=> (~brave(X0) & ~generous(X0))) [input p1]
3. ? [X0] : strong(X0) <=> ? [X0] : (~tall(X0) & ~strong(X... | 0 |
Everyone who is tall is patient or funny. If someone is humble or patient then susan is both not creative and not calm. Everyone who is not brave is calm or curious and vice versa. Everyone who is calm or rich is either not tall or not calm. Everyone who is quiet or not curious is not humble or not brave. Everyone who ... | Susan is funny. | neutral | (![X]:(tall(X)=>(patient(X)|funny(X))))&
((?[X]:((humble(X)|patient(X))))=>((~creative(susan)&~calm(susan))))&
(![X]:(~brave(X)<=>(calm(X)|curious(X))))&
(![X]:((calm(X)|rich(X))=>(~tall(X)<~>~calm(X))))&
(![X]:((quiet(X)|~curious(X))=>(~humble(X)|~brave(X))))&
(![X]:((kind(X)&strong(X))<=>strong(X)))&
((?[X]:((creativ... | funny(susan) | [] | null | 0 |
Everyone who is not brave is either not quiet or quiet.
Everyone who is either patient or not funny is funny and vice versa.
If someone is either rich or not quiet then paul is not humble.
If someone is either strong or curious then someone is not funny or not wise.
Everyone who is either funny or wise is patient.
Ever... | Susan is not funny. | contradiction | (![X]:(~brave(X)=>(~quiet(X)<~>quiet(X))))&
(![X]:((patient(X)<~>~funny(X))<=>funny(X)))&
((?[X]:((rich(X)<~>~quiet(X))))=>(~humble(paul)))&
((?[X]:((strong(X)<~>curious(X))))=>(?[X]:((~funny(X)|~wise(X)))))&
(![X]:((funny(X)<~>wise(X))=>patient(X)))&
(![X]:((humble(X)<~>~generous(X))<=>~creative(X)))&
(![X]:((humble(X... | ~funny(susan) | [
"p1",
"p5",
"p10",
"p11",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4529805084411624700673754
% SZS output start Proof for 4529805084411624700673754
2. ! [X0] : ((patient(X0) <~> ~funny(X0)) <=> funny(X0)) [input p1]
6. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> ~creative(X0)) [input p5]
11. ? [X0] : (~curious(X0) | ~kind(X0)) <=> (~patient(lucy) | gene... | 0 |
If fred is either kind or old then susan is not rich or not tall.
Everyone who is generous or funny is old or happy.
Everyone who is either not quiet or creative is either wise or not calm.
Everyone who is creative or not wise is either not tall or humble and vice versa.
Everyone who is both not tall and old is either ... | Paul is humble. | neutral | (((kind(fred)<~>old(fred)))=>((~rich(susan)|~tall(susan))))&
(![X]:((generous(X)|funny(X))=>(old(X)|happy(X))))&
(![X]:((~quiet(X)<~>creative(X))=>(wise(X)<~>~calm(X))))&
(![X]:((creative(X)|~wise(X))<=>(~tall(X)<~>humble(X))))&
(![X]:((~tall(X)&old(X))<=>(creative(X)<~>brave(X))))&
(![X]:((~wise(X)|generous(X))=>~gene... | humble(paul) | [] | null | 0 |
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