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 |
|---|---|---|---|---|---|---|---|
If paul is either happy or not calm then someone is both happy and not tall. Everyone who is either not tall or not funny is not happy or not humble. If paul is not quiet then someone is humble or brave. Everyone who is funny is both happy and patient and vice versa. Everyone who is either wise or not creative is not c... | John is funny. | neutral | (((happy(paul)<~>~calm(paul)))=>(?[X]:((happy(X)&~tall(X)))))&
(![X]:((~tall(X)<~>~funny(X))=>(~happy(X)|~humble(X))))&
((~quiet(paul))=>(?[X]:((humble(X)|brave(X)))))&
(![X]:(funny(X)<=>(happy(X)&patient(X))))&
(![X]:((wise(X)<~>~creative(X))=>~curious(X)))&
(((~strong(alice)|~rich(alice)))=>((~happy(fred)|patient(fre... | funny(john) | [] | null | 0 |
If john is both tall and brave then john is patient and vice versa. Everyone who is either curious or not funny is not kind and vice versa. Everyone who is rich or not wise is not kind or generous. Everyone who is kind is not creative or old and vice versa. Everyone who is not funny or not brave is both not happy and c... | Mary is not funny. | contradiction | (((tall(john)&brave(john)))<=>(patient(john)))&
(![X]:((curious(X)<~>~funny(X))<=>~kind(X)))&
(![X]:((rich(X)|~wise(X))=>(~kind(X)|generous(X))))&
(![X]:(kind(X)<=>(~creative(X)|old(X))))&
(![X]:((~funny(X)|~brave(X))=>(~happy(X)&curious(X))))&
(![X]:(~wise(X)<=>generous(X)))&
(![X]:((tall(X)|patient(X))<=>(funny(X)&ki... | ~funny(mary) | [
"p4",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6634352394694280046730953
% SZS output start Proof for 6634352394694280046730953
5. ! [X0] : ((~brave(X0) | ~funny(X0)) => (curious(X0) & ~happy(X0))) [input p4]
7. ! [X0] : ((patient(X0) | tall(X0)) <=> (kind(X0) & funny(X0))) [input p6]
14. ! [X0] : ((~humble(X0) | happy(X0)) <=> (~pati... | 0 |
If someone is either not patient or not generous then fred is happy and vice versa.
Everyone who is not patient is either not strong or funny.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or not tall.
Everyone who is brave is either not generous or humble and... | Lucy is patient. | neutral | ((?[X]:((~patient(X)<~>~generous(X))))<=>(happy(fred)))&
(![X]:(~patient(X)=>(~strong(X)<~>funny(X))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<~>~curious(X))<=>(generous(X)|~strong(X))))&
(![X]... | patient(lucy) | [] | null | 0 |
If someone is either quiet or not patient then someone is either not creative or quiet and vice versa. If john is both not generous and wise then fred is either not creative or not generous and vice versa. Everyone who is not strong or not brave is either not quiet or happy and vice versa. Everyone who is both patient ... | Mary is humble. | neutral | ((?[X]:((quiet(X)<~>~patient(X))))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(((~generous(john)&wise(john)))<=>((~creative(fred)<~>~generous(fred))))&
(![X]:((~strong(X)|~brave(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:((patient(X)&~old(X))<=>(rich(X)<~>humble(X))))&
(![X]:((patient(X)|happy(X))<=>(strong(X)|~curious(X))))&
(... | humble(mary) | [] | null | 0 |
Everyone who is both happy and quiet is both calm and happy and vice versa.
Everyone who is brave or quiet is both patient and strong and vice versa.
If someone is not brave or funny then someone is humble or not generous and vice versa.
Everyone who is both humble and not calm is either old or not strong.
If john is b... | John is not funny. | neutral | (![X]:((happy(X)&quiet(X))<=>(calm(X)&happy(X))))&
(![X]:((brave(X)|quiet(X))<=>(patient(X)&strong(X))))&
((?[X]:((~brave(X)|funny(X))))<=>(?[X]:((humble(X)|~generous(X)))))&
(![X]:((humble(X)&~calm(X))=>(old(X)<~>~strong(X))))&
(((~humble(john)&~quiet(john)))<=>((~curious(lucy)<~>~wise(lucy))))&
(![X]:((~humble(X)&~st... | ~funny(john) | [] | null | 0 |
Everyone who is either not tall or quiet is not strong or creative and vice versa.
Everyone who is both humble and not happy is calm or humble and vice versa.
If someone is curious or not wise then someone is both patient and not humble and vice versa.
If someone is both patient and happy then john is both not rich and... | Fred is quiet. | neutral | (![X]:((~tall(X)<~>quiet(X))<=>(~strong(X)|creative(X))))&
(![X]:((humble(X)&~happy(X))<=>(calm(X)|humble(X))))&
((?[X]:((curious(X)|~wise(X))))<=>(?[X]:((patient(X)&~humble(X)))))&
((?[X]:((patient(X)&happy(X))))<=>((~rich(john)&calm(john))))&
(![X]:(~rich(X)<=>(humble(X)&calm(X))))&
((?[X]:(~humble(X)))=>(?[X]:((wise... | quiet(fred) | [] | null | 0 |
If lucy is not tall or curious then fred is both wise and patient and vice versa.
If alice is not funny then someone is both not happy and funny.
Everyone who is not funny is not tall.
If susan is not funny or tall then paul is not humble or strong and vice versa.
Everyone who is either not humble or not funny is not t... | John is brave. | entailment | (((~tall(lucy)|curious(lucy)))<=>((wise(fred)&patient(fred))))&
((~funny(alice))=>(?[X]:((~happy(X)&funny(X)))))&
(![X]:(~funny(X)=>~tall(X)))&
(((~funny(susan)|tall(susan)))<=>((~humble(paul)|strong(paul))))&
(![X]:((~humble(X)<~>~funny(X))<=>~tall(X)))&
(![X]:(~kind(X)=>(~strong(X)<~>wise(X))))&
((?[X]:((wise(X)|funn... | brave(john) | [
"p2",
"p4",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9107470874068633356909140
% SZS output start Proof for 9107470874068633356909140
3. ! [X0] : (~funny(X0) => ~tall(X0)) [input p2]
5. ! [X0] : ((~humble(X0) <~> ~funny(X0)) <=> ~tall(X0)) [input p4]
10. ! [X0] : ((~strong(X0) <~> ~brave(X0)) => ~tall(X0)) [input p9]
13. ! [X0] : ((~quiet(X... | 0 |
If someone is either not patient or not creative then someone is both patient and wise and vice versa.
If someone is not kind or not patient then susan is both not brave and not funny.
If someone is rich then someone is either not brave or brave and vice versa.
Everyone who is not strong is quiet.
Everyone who is not t... | Mary is not strong. | neutral | ((?[X]:((~patient(X)<~>~creative(X))))<=>(?[X]:((patient(X)&wise(X)))))&
((?[X]:((~kind(X)|~patient(X))))=>((~brave(susan)&~funny(susan))))&
((?[X]:(rich(X)))<=>(?[X]:((~brave(X)<~>brave(X)))))&
(![X]:(~strong(X)=>quiet(X)))&
(![X]:((~tall(X)|~funny(X))=>humble(X)))&
(![X]:((~generous(X)|tall(X))=>brave(X)))&
(![X]:((~... | ~strong(mary) | [] | null | 0 |
If susan is rich or not creative then someone is not funny. If fred is not wise or wise then fred is either curious or not brave and vice versa. If fred is quiet then someone is both not quiet and not generous. Everyone who is both not strong and rich is either not old or not patient. Everyone who is not curious is qui... | John is not tall. | neutral | (((rich(susan)|~creative(susan)))=>(?[X]:(~funny(X))))&
(((~wise(fred)|wise(fred)))<=>((curious(fred)<~>~brave(fred))))&
((quiet(fred))=>(?[X]:((~quiet(X)&~generous(X)))))&
(![X]:((~strong(X)&rich(X))=>(~old(X)<~>~patient(X))))&
(![X]:(~curious(X)=>quiet(X)))&
(![X]:(~curious(X)<=>(quiet(X)|kind(X))))&
(((funny(lucy)|~... | ~tall(john) | [] | null | 0 |
Everyone who is not rich or not generous is both brave and not old and vice versa.
Everyone who is not quiet is not tall or patient and vice versa.
Everyone who is both kind and not brave is both not quiet and calm.
If someone is either not happy or happy then fred is old and vice versa.
If john is calm then fred is st... | John is rich. | neutral | (![X]:((~rich(X)|~generous(X))<=>(brave(X)&~old(X))))&
(![X]:(~quiet(X)<=>(~tall(X)|patient(X))))&
(![X]:((kind(X)&~brave(X))=>(~quiet(X)&calm(X))))&
((?[X]:((~happy(X)<~>happy(X))))<=>(old(fred)))&
((calm(john))<=>((strong(fred)|~happy(fred))))&
((?[X]:((~quiet(X)&quiet(X))))=>(?[X]:((~funny(X)<~>~curious(X)))))&
(![X... | rich(john) | [] | null | 0 |
Everyone who is funny or quiet is creative or patient and vice versa.
Everyone who is not kind or calm is either curious or creative and vice versa.
If someone is not calm then someone is not strong.
Everyone who is both strong and old is kind or calm.
Everyone who is either funny or old is either not wise or not gener... | Lucy is wise. | entailment | (![X]:((funny(X)|quiet(X))<=>(creative(X)|patient(X))))&
(![X]:((~kind(X)|calm(X))<=>(curious(X)<~>creative(X))))&
((?[X]:(~calm(X)))=>(?[X]:(~strong(X))))&
(![X]:((strong(X)&old(X))=>(kind(X)|calm(X))))&
(![X]:((funny(X)<~>old(X))<=>(~wise(X)<~>~generous(X))))&
((?[X]:((wise(X)<~>brave(X))))=>(?[X]:((tall(X)<~>curious... | wise(lucy) | [
"p0",
"p4",
"p7",
"p9",
"p12",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4087723388779920469426198
% SZS output start Proof for 4087723388779920469426198
1. ! [X0] : ((quiet(X0) | funny(X0)) <=> (patient(X0) | creative(X0))) [input p0]
5. ! [X0] : ((funny(X0) <~> old(X0)) <=> (~wise(X0) <~> ~generous(X0))) [input p4]
8. (funny(lucy) <~> old(lucy)) <=> ? [X0] :... | 0 |
Everyone who is either not calm or not creative is both quiet and rich and vice versa. If someone is not strong then someone is both not generous and quiet. If lucy is tall then paul is kind or not strong and vice versa. If mary is either not wise or strong then someone is either strong or kind and vice versa. Everyone... | Alice is not calm. | neutral | (![X]:((~calm(X)<~>~creative(X))<=>(quiet(X)&rich(X))))&
((?[X]:(~strong(X)))=>(?[X]:((~generous(X)&quiet(X)))))&
((tall(lucy))<=>((kind(paul)|~strong(paul))))&
(((~wise(mary)<~>strong(mary)))<=>(?[X]:((strong(X)<~>kind(X)))))&
(![X]:((~wise(X)|brave(X))<=>(~happy(X)&~kind(X))))&
(![X]:((humble(X)<~>~curious(X))<=>(~ol... | ~calm(alice) | [] | null | 0 |
Everyone who is not strong is either strong or brave and vice versa. If someone is not happy or quiet then someone is old. If someone is humble or not happy then alice is curious or not funny. Everyone who is either not quiet or strong is either creative or humble. Everyone who is wise is both not brave and wise and vi... | Alice is funny. | neutral | (![X]:(~strong(X)<=>(strong(X)<~>brave(X))))&
((?[X]:((~happy(X)|quiet(X))))=>(?[X]:(old(X))))&
((?[X]:((humble(X)|~happy(X))))=>((curious(alice)|~funny(alice))))&
(![X]:((~quiet(X)<~>strong(X))=>(creative(X)<~>humble(X))))&
(![X]:(wise(X)<=>(~brave(X)&wise(X))))&
((?[X]:((~quiet(X)|funny(X))))=>(?[X]:((strong(X)|curio... | funny(alice) | [] | null | 0 |
Everyone who is either not curious or not old is tall or happy.
Everyone who is both not strong and not rich is wise or not brave and vice versa.
If someone is not calm or wise then lucy is curious.
Everyone who is patient or humble is funny.
If mary is not patient or not quiet then john is either kind or patient and v... | Paul is not rich. | entailment | (![X]:((~curious(X)<~>~old(X))=>(tall(X)|happy(X))))&
(![X]:((~strong(X)&~rich(X))<=>(wise(X)|~brave(X))))&
((?[X]:((~calm(X)|wise(X))))=>(curious(lucy)))&
(![X]:((patient(X)|humble(X))=>funny(X)))&
(((~patient(mary)|~quiet(mary)))<=>((kind(john)<~>patient(john))))&
(![X]:((~calm(X)|~humble(X))<=>(funny(X)&~wise(X))))&... | ~rich(paul) | [
"p1",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 391330838803593487120619
% SZS output start Proof for 391330838803593487120619
2. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> (~brave(X0) | wise(X0))) [input p1]
4. ! [X0] : ((humble(X0) | patient(X0)) => funny(X0)) [input p3]
6. ! [X0] : ((~humble(X0) | ~calm(X0)) <=> (~wise(X0) & funny(X0))... | 0 |
Everyone who is not strong or not old is both not creative and not happy and vice versa.
Everyone who is both not happy and tall is either calm or quiet and vice versa.
Everyone who is either happy or calm is either not old or not happy and vice versa.
If someone is both funny and creative then fred is either not patie... | Fred is not brave. | neutral | (![X]:((~strong(X)|~old(X))<=>(~creative(X)&~happy(X))))&
(![X]:((~happy(X)&tall(X))<=>(calm(X)<~>quiet(X))))&
(![X]:((happy(X)<~>calm(X))<=>(~old(X)<~>~happy(X))))&
((?[X]:((funny(X)&creative(X))))=>((~patient(fred)<~>~happy(fred))))&
(![X]:((~curious(X)|~brave(X))=>(wise(X)<~>~rich(X))))&
((?[X]:(curious(X)))=>(?[X]:... | ~brave(fred) | [] | null | 0 |
If alice is not old then someone is either rich or not curious and vice versa. If mary is brave or quiet then someone is either tall or rich and vice versa. Everyone who is both humble and not wise is happy or not old and vice versa. If someone is not wise or not happy then someone is either not kind or not happy. Ever... | John is not tall. | neutral | ((~old(alice))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(((brave(mary)|quiet(mary)))<=>(?[X]:((tall(X)<~>rich(X)))))&
(![X]:((humble(X)&~wise(X))<=>(happy(X)|~old(X))))&
((?[X]:((~wise(X)|~happy(X))))=>(?[X]:((~kind(X)<~>~happy(X)))))&
(![X]:(~strong(X)<=>(strong(X)&calm(X))))&
(![X]:(~creative(X)<=>~calm(X)))&
((?[X]:(str... | ~tall(john) | [] | null | 0 |
Everyone who is curious is either curious or not kind.
If mary is either not quiet or strong then someone is both patient and not rich.
Everyone who is either not rich or generous is either not patient or strong and vice versa.
If mary is both happy and generous then susan is both old and curious and vice versa.
Everyo... | Paul is creative. | entailment | (![X]:(curious(X)=>(curious(X)<~>~kind(X))))&
(((~quiet(mary)<~>strong(mary)))=>(?[X]:((patient(X)&~rich(X)))))&
(![X]:((~rich(X)<~>generous(X))<=>(~patient(X)<~>strong(X))))&
(((happy(mary)&generous(mary)))<=>((old(susan)&curious(susan))))&
(![X]:((~happy(X)<~>calm(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((~funny(... | creative(paul) | [
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2642764284658211794145987
% SZS output start Proof for 2642764284658211794145987
11. ! [X0] : ((~creative(X0) | quiet(X0)) => happy(X0)) [input p10]
12. ! [X0] : ((calm(X0) & generous(X0)) <=> (calm(X0) <~> happy(X0))) [input p11]
21. generous(paul) [input p20]
24. ~creative(paul) [input ... | 0 |
Everyone who is wise is both not kind and not quiet.
Everyone who is not strong is either not patient or not quiet and vice versa.
If someone is both brave and humble then mary is wise or creative and vice versa.
Everyone who is quiet is either creative or tall and vice versa.
Everyone who is old is both kind and calm.... | Susan is not wise. | entailment | (![X]:(wise(X)=>(~kind(X)&~quiet(X))))&
(![X]:(~strong(X)<=>(~patient(X)<~>~quiet(X))))&
((?[X]:((brave(X)&humble(X))))<=>((wise(mary)|creative(mary))))&
(![X]:(quiet(X)<=>(creative(X)<~>tall(X))))&
(![X]:(old(X)=>(kind(X)&calm(X))))&
((?[X]:(~creative(X)))=>((~curious(susan)<~>generous(susan))))&
(![X]:((strong(X)&old... | ~wise(susan) | [
"p0",
"p3",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3860026092567805737930514
% SZS output start Proof for 3860026092567805737930514
1. ! [X0] : (wise(X0) => (~quiet(X0) & ~kind(X0))) [input p0]
4. ! [X0] : (quiet(X0) <=> (creative(X0) <~> tall(X0))) [input p3]
8. ! [X0] : ((~curious(X0) | curious(X0)) <=> (rich(X0) <~> ~creative(X0))) [in... | 0 |
If someone is both not curious and not brave then someone is tall or not humble.
Everyone who is both quiet and not funny is not kind.
Everyone who is either creative or not quiet is curious.
If mary is both not strong and not rich then someone is generous.
Everyone who is not curious or happy is not curious.
Everyone ... | Susan is happy. | contradiction | ((?[X]:((~curious(X)&~brave(X))))=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:((quiet(X)&~funny(X))=>~kind(X)))&
(![X]:((creative(X)<~>~quiet(X))=>curious(X)))&
(((~strong(mary)&~rich(mary)))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|happy(X))=>~curious(X)))&
(![X]:(patient(X)=>creative(X)))&
(![X]:((happy(X)&~creative(X)... | happy(susan) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5706005540321981964778018
% SZS output start Proof for 5706005540321981964778018
5. ! [X0] : ((happy(X0) | ~curious(X0)) => ~curious(X0)) [input p4]
9. ! [X0] : ((~brave(X0) <~> ~curious(X0)) <=> ~brave(X0)) [input p8]
23. happy(susan) [input hypothesis]
31. ! [X0] : (~curious(X0) | (~hap... | 0 |
Everyone who is not calm or not tall is calm or not funny.
Everyone who is funny or brave is not kind or not happy and vice versa.
Everyone who is either not funny or not rich is both not quiet and curious.
If someone is not calm then someone is both not generous and old.
If someone is brave or strong then paul is eith... | Fred is not rich. | contradiction | (![X]:((~calm(X)|~tall(X))=>(calm(X)|~funny(X))))&
(![X]:((funny(X)|brave(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~funny(X)<~>~rich(X))=>(~quiet(X)&curious(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~generous(X)&old(X)))))&
((?[X]:((brave(X)|strong(X))))<=>((~calm(paul)<~>~quiet(paul))))&
(![X]:((old(X)<~>humble(X))=>(brave(X)&~... | ~rich(fred) | [
"p2",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4816094829742346445375963
% SZS output start Proof for 4816094829742346445375963
3. ! [X0] : ((~funny(X0) <~> ~rich(X0)) => (curious(X0) & ~quiet(X0))) [input p2]
13. ! [X0] : ((~creative(X0) & funny(X0)) <=> curious(X0)) [input p12]
14. ! [X0] : (calm(X0) <=> (~calm(X0) | funny(X0))) [in... | 0 |
If someone is both not funny and creative then someone is either not strong or not old and vice versa.
If someone is not kind then someone is both rich and not quiet.
Everyone who is quiet or creative is either funny or not patient and vice versa.
Everyone who is either creative or not humble is humble and vice versa.
... | Alice is happy. | contradiction | ((?[X]:((~funny(X)&creative(X))))<=>(?[X]:((~strong(X)<~>~old(X)))))&
((?[X]:(~kind(X)))=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((quiet(X)|creative(X))<=>(funny(X)<~>~patient(X))))&
(![X]:((creative(X)<~>~humble(X))<=>humble(X)))&
(![X]:(wise(X)<=>(~kind(X)&tall(X))))&
((?[X]:(calm(X)))=>((creative(lucy)<~>~tall(lucy)))... | happy(alice) | [
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6559122602892731391224691
% SZS output start Proof for 6559122602892731391224691
4. ! [X0] : ((creative(X0) <~> ~humble(X0)) <=> humble(X0)) [input p3]
7. ? [X0] : (~creative(X0) & generous(X0)) <=> (brave(alice) | happy(alice)) [input p6]
25. happy(alice) [input hypothesis]
51. ! [X0] : ... | 0 |
Everyone who is tall is not happy or creative.
If someone is either old or not wise then someone is tall and vice versa.
If mary is rich then someone is rich and vice versa.
If alice is creative then someone is either not funny or not happy.
Everyone who is not rich or not calm is either not creative or wise and vice v... | Alice is not humble. | contradiction | (![X]:(tall(X)=>(~happy(X)|creative(X))))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:(tall(X))))&
((rich(mary))<=>(?[X]:(rich(X))))&
((creative(alice))=>(?[X]:((~funny(X)<~>~happy(X)))))&
(![X]:((~rich(X)|~calm(X))<=>(~creative(X)<~>wise(X))))&
((?[X]:(happy(X)))<=>(?[X]:(~creative(X))))&
((?[X]:((~funny(X)<~>creative(X)))... | ~humble(alice) | [
"p9",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 255653426588968983927960
% SZS output start Proof for 255653426588968983927960
10. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> happy(X0)) [input p9]
14. ! [X0] : ((~wise(X0) & strong(X0)) <=> (calm(X0) & ~happy(X0))) [input p13]
15. ! [X0] : ((~patient(X0) | ~wise(X0)) => (humble(X0) <~> ~stron... | 0 |
Everyone who is both humble and not quiet is old or wise and vice versa.
Everyone who is calm or quiet is both brave and tall and vice versa.
Everyone who is not strong is not happy.
Everyone who is not wise is both curious and not humble.
Everyone who is wise is either humble or wise.
Everyone who is happy is patient.... | Susan is creative. | contradiction | (![X]:((humble(X)&~quiet(X))<=>(old(X)|wise(X))))&
(![X]:((calm(X)|quiet(X))<=>(brave(X)&tall(X))))&
(![X]:(~strong(X)=>~happy(X)))&
(![X]:(~wise(X)=>(curious(X)&~humble(X))))&
(![X]:(wise(X)=>(humble(X)<~>wise(X))))&
(![X]:(happy(X)=>patient(X)))&
(![X]:((patient(X)&funny(X))<=>(~strong(X)<~>calm(X))))&
(![X]:(creativ... | creative(susan) | [
"p0",
"p1",
"p3",
"p4",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 540157053425636727053665
% SZS output start Proof for 540157053425636727053665
1. ! [X0] : ((~quiet(X0) & humble(X0)) <=> (wise(X0) | old(X0))) [input p0]
2. ! [X0] : ((quiet(X0) | calm(X0)) <=> (tall(X0) & brave(X0))) [input p1]
4. ! [X0] : (~wise(X0) => (~humble(X0) & curious(X0))) [inp... | 0 |
Everyone who is both not old and funny is either wise or creative. If someone is either not wise or tall then someone is both generous and curious. Everyone who is either not strong or strong is tall or happy. Everyone who is brave or creative is either brave or not curious. Everyone who is not wise is not quiet or not... | Alice is old. | contradiction | (![X]:((~old(X)&funny(X))=>(wise(X)<~>creative(X))))&
((?[X]:((~wise(X)<~>tall(X))))=>(?[X]:((generous(X)&curious(X)))))&
(![X]:((~strong(X)<~>strong(X))=>(tall(X)|happy(X))))&
(![X]:((brave(X)|creative(X))=>(brave(X)<~>~curious(X))))&
(![X]:(~wise(X)<=>(~quiet(X)|~tall(X))))&
(![X]:((generous(X)|tall(X))=>~patient(X))... | old(alice) | [
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 181137189813827950595519
% SZS output start Proof for 181137189813827950595519
12. ! [X0] : ((creative(X0) | humble(X0)) <=> (~old(X0) <~> ~curious(X0))) [input p11]
15. ! [X0] : ((humble(X0) & ~creative(X0)) => (old(X0) <~> ~curious(X0))) [input p14]
17. ~creative(alice) & ~curious(alice... | 0 |
Everyone who is brave or old is either not generous or not old. Everyone who is either not humble or wise is either not rich or not kind. Everyone who is not calm or rich is humble or kind. If someone is both not wise and not rich then susan is both kind and strong. Everyone who is quiet or wise is either not kind or n... | Fred is creative. | contradiction | (![X]:((brave(X)|old(X))=>(~generous(X)<~>~old(X))))&
(![X]:((~humble(X)<~>wise(X))=>(~rich(X)<~>~kind(X))))&
(![X]:((~calm(X)|rich(X))=>(humble(X)|kind(X))))&
((?[X]:((~wise(X)&~rich(X))))=>((kind(susan)&strong(susan))))&
(![X]:((quiet(X)|wise(X))=>(~kind(X)<~>~brave(X))))&
((?[X]:((wise(X)&humble(X))))=>(?[X]:((tall(... | creative(fred) | [
"p10",
"p12",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1667456868766136800189
% SZS output start Proof for 1667456868766136800189
11. (calm(fred) & ~brave(fred)) <=> ? [X0] : (humble(X0) <~> ~patient(X0)) [input p10]
13. ! [X0] : ((tall(X0) & ~tall(X0)) <=> strong(X0)) [input p12]
15. ! [X0] : ((~calm(X0) <~> strong(X0)) => (patient(X0) & bra... | 0 |
If someone is both not creative and rich then lucy is tall and vice versa.
Everyone who is both not creative and not tall is not funny and vice versa.
Everyone who is either not patient or kind is both not calm and not strong.
If susan is not wise or not curious then paul is not tall and vice versa.
Everyone who is eit... | Alice is funny. | neutral | ((?[X]:((~creative(X)&rich(X))))<=>(tall(lucy)))&
(![X]:((~creative(X)&~tall(X))<=>~funny(X)))&
(![X]:((~patient(X)<~>kind(X))=>(~calm(X)&~strong(X))))&
(((~wise(susan)|~curious(susan)))<=>(~tall(paul)))&
(![X]:((~humble(X)<~>~generous(X))=>(~calm(X)&humble(X))))&
((?[X]:(~happy(X)))<=>((~creative(lucy)|generous(lucy))... | funny(alice) | [] | null | 0 |
If fred is not calm then someone is not calm.
Everyone who is not kind is not quiet and vice versa.
If alice is rich or not old then fred is both not humble and wise.
If someone is both calm and funny then john is generous or not happy and vice versa.
If paul is either not tall or old then someone is both generous and ... | Paul is not tall. | neutral | ((~calm(fred))=>(?[X]:(~calm(X))))&
(![X]:(~kind(X)<=>~quiet(X)))&
(((rich(alice)|~old(alice)))=>((~humble(fred)&wise(fred))))&
((?[X]:((calm(X)&funny(X))))<=>((generous(john)|~happy(john))))&
(((~tall(paul)<~>old(paul)))<=>(?[X]:((generous(X)&quiet(X)))))&
(![X]:((~strong(X)|rich(X))=>(tall(X)<~>creative(X))))&
(![X]:... | ~tall(paul) | [] | null | 0 |
Everyone who is not happy is humble or quiet and vice versa. Everyone who is brave is both kind and not curious. If someone is either not patient or not humble then paul is calm. If lucy is both not happy and brave then someone is wise. Everyone who is both kind and not old is creative or patient. Everyone who is not c... | Susan is tall. | contradiction | (![X]:(~happy(X)<=>(humble(X)|quiet(X))))&
(![X]:(brave(X)=>(kind(X)&~curious(X))))&
((?[X]:((~patient(X)<~>~humble(X))))=>(calm(paul)))&
(((~happy(lucy)&brave(lucy)))=>(?[X]:(wise(X))))&
(![X]:((kind(X)&~old(X))=>(creative(X)|patient(X))))&
(![X]:((~creative(X)|~rich(X))=>(strong(X)&~quiet(X))))&
(![X]:(~curious(X)<=>... | tall(susan) | [
"p11",
"p13",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7200044847022163699879224
% SZS output start Proof for 7200044847022163699879224
12. ! [X0] : ((tall(X0) <~> ~creative(X0)) <=> (wise(X0) <~> ~kind(X0))) [input p11]
14. ! [X0] : ((wise(X0) | ~patient(X0)) => (~creative(X0) | ~wise(X0))) [input p13]
17. ~rich(susan) & creative(susan) [inp... | 0 |
If fred is not creative then someone is either not brave or patient.
Everyone who is generous or not calm is not curious and vice versa.
If fred is either humble or not rich then john is either not generous or creative and vice versa.
If paul is both not creative and not rich then lucy is not humble and vice versa.
Eve... | Paul is not old. | contradiction | ((~creative(fred))=>(?[X]:((~brave(X)<~>patient(X)))))&
(![X]:((generous(X)|~calm(X))<=>~curious(X)))&
(((humble(fred)<~>~rich(fred)))<=>((~generous(john)<~>creative(john))))&
(((~creative(paul)&~rich(paul)))<=>(~humble(lucy)))&
(![X]:((happy(X)|~kind(X))=>(old(X)&funny(X))))&
(((calm(mary)&generous(mary)))<=>((patient... | ~old(paul) | [
"p4",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5145616704658846621114057
% SZS output start Proof for 5145616704658846621114057
5. ! [X0] : ((~kind(X0) | happy(X0)) => (funny(X0) & old(X0))) [input p4]
7. ? [X0] : (funny(X0) <~> ~humble(X0)) <=> (~kind(paul) & ~rich(paul)) [input p6]
11. ? [X0] : humble(X0) => (calm(fred) & ~calm(fred... | 0 |
Everyone who is either old or not curious is both old and not old. Everyone who is both not tall and strong is either not brave or generous. If paul is either curious or quiet then alice is rich or wise. Everyone who is not humble is not generous or not quiet and vice versa. Everyone who is tall is not rich and vice ve... | Alice is not curious. | neutral | (![X]:((old(X)<~>~curious(X))=>(old(X)&~old(X))))&
(![X]:((~tall(X)&strong(X))=>(~brave(X)<~>generous(X))))&
(((curious(paul)<~>quiet(paul)))=>((rich(alice)|wise(alice))))&
(![X]:(~humble(X)<=>(~generous(X)|~quiet(X))))&
(![X]:(tall(X)<=>~rich(X)))&
((?[X]:((tall(X)|~wise(X))))=>(?[X]:((rich(X)&~quiet(X)))))&
((brave(s... | ~curious(alice) | [] | null | 0 |
Everyone who is patient or not patient is calm or tall.
Everyone who is both not rich and not humble is both generous and wise and vice versa.
Everyone who is not quiet is kind and vice versa.
If susan is quiet or happy then john is either not old or funny and vice versa.
Everyone who is strong or old is either not hum... | Alice is strong. | contradiction | (![X]:((patient(X)|~patient(X))=>(calm(X)|tall(X))))&
(![X]:((~rich(X)&~humble(X))<=>(generous(X)&wise(X))))&
(![X]:(~quiet(X)<=>kind(X)))&
(((quiet(susan)|happy(susan)))<=>((~old(john)<~>funny(john))))&
(![X]:((strong(X)|old(X))<=>(~humble(X)<~>patient(X))))&
(![X]:((brave(X)<~>~generous(X))=>(calm(X)|~wise(X))))&
((?... | strong(alice) | [
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 888004797776147102798528
% SZS output start Proof for 888004797776147102798528
11. ! [X0] : ((~old(X0) | funny(X0)) <=> (~strong(X0) & wise(X0))) [input p10]
12. ! [X0] : ((strong(X0) <~> ~funny(X0)) <=> (~tall(X0) <~> tall(X0))) [input p11]
25. strong(alice) [input hypothesis]
59. ! [X0]... | 0 |
Everyone who is happy is either not quiet or generous and vice versa.
Everyone who is either old or not brave is not humble or patient.
Everyone who is either not strong or not humble is either wise or not happy.
Everyone who is both kind and patient is quiet and vice versa.
Everyone who is either not funny or not rich... | Lucy is not curious. | neutral | (![X]:(happy(X)<=>(~quiet(X)<~>generous(X))))&
(![X]:((old(X)<~>~brave(X))=>(~humble(X)|patient(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(wise(X)<~>~happy(X))))&
(![X]:((kind(X)&patient(X))<=>quiet(X)))&
(![X]:((~funny(X)<~>~rich(X))=>(~wise(X)|~creative(X))))&
(![X]:((curious(X)|brave(X))<=>(generous(X)&~happy(X))))&
... | ~curious(lucy) | [] | null | 0 |
Everyone who is either generous or not calm is not creative.
If alice is happy then someone is both not happy and not old.
Everyone who is creative is both tall and not strong.
If mary is either not happy or not quiet then someone is wise or not funny and vice versa.
Everyone who is not calm or kind is not creative and... | Mary is calm. | entailment | (![X]:((generous(X)<~>~calm(X))=>~creative(X)))&
((happy(alice))=>(?[X]:((~happy(X)&~old(X)))))&
(![X]:(creative(X)=>(tall(X)&~strong(X))))&
(((~happy(mary)<~>~quiet(mary)))<=>(?[X]:((wise(X)|~funny(X)))))&
(![X]:((~calm(X)|kind(X))<=>~creative(X)))&
((?[X]:((~rich(X)&happy(X))))=>(?[X]:((~patient(X)&calm(X)))))&
(![X]... | calm(mary) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2212944001633209791600409
% SZS output start Proof for 2212944001633209791600409
12. ? [X0] : ~calm(X0) <=> ? [X0] : (~patient(X0) & patient(X0)) [input p11]
25. ~calm(mary) [input hypothesis]
28. ? [X0] : ~calm(X0) <=> ? [X1] : (~patient(X1) & patient(X1)) [rectify 12]
57. (? [X0] : ~cal... | 0 |
If someone is both not calm and not funny then someone is both wise and not old. Everyone who is wise is not generous or happy. If someone is either not generous or not quiet then someone is kind and vice versa. Everyone who is not patient is not generous or calm. Everyone who is both strong and old is not happy or not... | Mary is not calm. | neutral | ((?[X]:((~calm(X)&~funny(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:(wise(X)=>(~generous(X)|happy(X))))&
((?[X]:((~generous(X)<~>~quiet(X))))<=>(?[X]:(kind(X))))&
(![X]:(~patient(X)=>(~generous(X)|calm(X))))&
(![X]:((strong(X)&old(X))<=>(~happy(X)|~funny(X))))&
(![X]:((~brave(X)|~strong(X))<=>(rich(X)&~quiet(X))))&
((?[... | ~calm(mary) | [] | null | 0 |
Everyone who is not calm is both patient and creative and vice versa.
Everyone who is both not tall and not kind is not happy or not quiet and vice versa.
Everyone who is not brave is either tall or creative.
Everyone who is not generous is either not old or funny and vice versa.
Everyone who is both old and not tall i... | Paul is patient. | entailment | (![X]:(~calm(X)<=>(patient(X)&creative(X))))&
(![X]:((~tall(X)&~kind(X))<=>(~happy(X)|~quiet(X))))&
(![X]:(~brave(X)=>(tall(X)<~>creative(X))))&
(![X]:(~generous(X)<=>(~old(X)<~>funny(X))))&
(![X]:((old(X)&~tall(X))=>(creative(X)&patient(X))))&
((?[X]:(humble(X)))=>((~creative(susan)<~>~happy(susan))))&
(((~patient(joh... | patient(paul) | [
"p1",
"p4",
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8802721438362526508696959
% SZS output start Proof for 8802721438362526508696959
2. ! [X0] : ((~kind(X0) & ~tall(X0)) <=> (~quiet(X0) | ~happy(X0))) [input p1]
5. ! [X0] : ((~tall(X0) & old(X0)) => (patient(X0) & creative(X0))) [input p4]
9. ! [X0] : ((~old(X0) | kind(X0)) <=> (calm(X0) &... | 0 |
Everyone who is not wise is not rich or humble.
Everyone who is not generous is both not tall and not quiet and vice versa.
Everyone who is not patient or not creative is not curious and vice versa.
Everyone who is humble or not brave is kind and vice versa.
If someone is strong then someone is both wise and not wise.
... | Lucy is funny. | neutral | (![X]:(~wise(X)=>(~rich(X)|humble(X))))&
(![X]:(~generous(X)<=>(~tall(X)&~quiet(X))))&
(![X]:((~patient(X)|~creative(X))<=>~curious(X)))&
(![X]:((humble(X)|~brave(X))<=>kind(X)))&
((?[X]:(strong(X)))=>(?[X]:((wise(X)&~wise(X)))))&
(![X]:((~creative(X)&funny(X))<=>strong(X)))&
((calm(fred))=>((~generous(lucy)<~>generous... | funny(lucy) | [] | null | 0 |
Everyone who is old or patient is strong and vice versa.
Everyone who is old is either not brave or not tall and vice versa.
If someone is both not happy and brave then john is either happy or patient.
Everyone who is not calm or not rich is both old and not kind and vice versa.
Everyone who is kind or not quiet is bot... | Mary is strong. | entailment | (![X]:((old(X)|patient(X))<=>strong(X)))&
(![X]:(old(X)<=>(~brave(X)<~>~tall(X))))&
((?[X]:((~happy(X)&brave(X))))=>((happy(john)<~>patient(john))))&
(![X]:((~calm(X)|~rich(X))<=>(old(X)&~kind(X))))&
(![X]:((kind(X)|~quiet(X))<=>(~patient(X)&patient(X))))&
(![X]:(~old(X)<=>~quiet(X)))&
(![X]:((wise(X)<~>happy(X))<=>~pa... | strong(mary) | [
"p0",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3016967182601861748570231
% SZS output start Proof for 3016967182601861748570231
1. ! [X0] : ((patient(X0) | old(X0)) <=> strong(X0)) [input p0]
5. ! [X0] : ((~quiet(X0) | kind(X0)) <=> (patient(X0) & ~patient(X0))) [input p4]
6. ! [X0] : (~old(X0) <=> ~quiet(X0)) [input p5]
21. ~strong(m... | 0 |
If someone is both not wise and kind then someone is either not calm or not generous and vice versa. Everyone who is either generous or strong is both not calm and not tall and vice versa. If alice is either not generous or not rich then someone is both not funny and kind and vice versa. Everyone who is curious is eith... | Mary is quiet. | contradiction | ((?[X]:((~wise(X)&kind(X))))<=>(?[X]:((~calm(X)<~>~generous(X)))))&
(![X]:((generous(X)<~>strong(X))<=>(~calm(X)&~tall(X))))&
(((~generous(alice)<~>~rich(alice)))<=>(?[X]:((~funny(X)&kind(X)))))&
(![X]:(curious(X)=>(~creative(X)<~>~tall(X))))&
(![X]:((~brave(X)|curious(X))<=>(wise(X)<~>calm(X))))&
((?[X]:(old(X)))=>(pa... | quiet(mary) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 928537767745800339355403
% SZS output start Proof for 928537767745800339355403
8. ! [X0] : ((quiet(X0) | strong(X0)) => ~quiet(X0)) [input p7]
24. quiet(mary) [input hypothesis]
29. ! [X0] : (~quiet(X0) | (~quiet(X0) & ~strong(X0))) [ennf transformation 8]
111. ~quiet(X0) | ~quiet(X0) [cn... | 0 |
Everyone who is not funny is curious or not tall. Everyone who is either not calm or rich is wise and vice versa. If susan is not generous then fred is both tall and not curious. If lucy is not generous then john is both not brave and creative. If paul is patient then someone is humble or patient and vice versa. Everyo... | Mary is not creative. | neutral | (![X]:(~funny(X)=>(curious(X)|~tall(X))))&
(![X]:((~calm(X)<~>rich(X))<=>wise(X)))&
((~generous(susan))=>((tall(fred)&~curious(fred))))&
((~generous(lucy))=>((~brave(john)&creative(john))))&
((patient(paul))<=>(?[X]:((humble(X)|patient(X)))))&
(![X]:(generous(X)<=>(~kind(X)<~>~generous(X))))&
(![X]:((rich(X)|wise(X))=>... | ~creative(mary) | [] | null | 0 |
Everyone who is creative is not strong or happy.
Everyone who is either not generous or brave is both brave and not brave.
Everyone who is both patient and not brave is not calm or wise and vice versa.
If lucy is strong then john is both not patient and not old.
If someone is both not strong and rich then john is both ... | Mary is kind. | entailment | (![X]:(creative(X)=>(~strong(X)|happy(X))))&
(![X]:((~generous(X)<~>brave(X))=>(brave(X)&~brave(X))))&
(![X]:((patient(X)&~brave(X))<=>(~calm(X)|wise(X))))&
((strong(lucy))=>((~patient(john)&~old(john))))&
((?[X]:((~strong(X)&rich(X))))=>((~humble(john)&~strong(john))))&
(![X]:((~old(X)&brave(X))<=>(~generous(X)&~creat... | kind(mary) | [
"p7",
"p13",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6110672097512286164516310
% SZS output start Proof for 6110672097512286164516310
8. ! [X0] : (~creative(X0) => (~quiet(X0) & calm(X0))) [input p7]
14. ! [X0] : ((calm(X0) & ~kind(X0)) <=> strong(X0)) [input p13]
18. ~creative(mary) & ~generous(mary) [input p17]
20. ~strong(mary) [input p1... | 0 |
If someone is either funny or not tall then someone is patient. If paul is not humble then paul is not strong. If fred is happy then someone is both funny and not curious and vice versa. Everyone who is both kind and not strong is curious or happy and vice versa. Everyone who is both strong and calm is not strong or no... | John is humble. | entailment | ((?[X]:((funny(X)<~>~tall(X))))=>(?[X]:(patient(X))))&
((~humble(paul))=>(~strong(paul)))&
((happy(fred))<=>(?[X]:((funny(X)&~curious(X)))))&
(![X]:((kind(X)&~strong(X))<=>(curious(X)|happy(X))))&
(![X]:((strong(X)&calm(X))<=>(~strong(X)|~generous(X))))&
(![X]:((~rich(X)<~>~calm(X))=>(~humble(X)&strong(X))))&
(![X]:((~... | humble(john) | [
"p2",
"p3",
"p4",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 9203734414459853096644607
% SZS output start Proof for 9203734414459853096644607
3. happy(fred) <=> ? [X0] : (~curious(X0) & funny(X0)) [input p2]
4. ! [X0] : ((~strong(X0) & kind(X0)) <=> (happy(X0) | curious(X0))) [input p3]
5. ! [X0] : ((calm(X0) & strong(X0)) <=> (~generous(X0) | ~str... | 0 |
Everyone who is funny is either brave or wise.
If fred is not creative or brave then someone is rich and vice versa.
If someone is not tall then someone is funny and vice versa.
Everyone who is brave is both curious and not generous and vice versa.
Everyone who is both not curious and not strong is either not brave or ... | Lucy is not calm. | contradiction | (![X]:(funny(X)=>(brave(X)<~>wise(X))))&
(((~creative(fred)|brave(fred)))<=>(?[X]:(rich(X))))&
((?[X]:(~tall(X)))<=>(?[X]:(funny(X))))&
(![X]:(brave(X)<=>(curious(X)&~generous(X))))&
(![X]:((~curious(X)&~strong(X))<=>(~brave(X)<~>~wise(X))))&
((?[X]:(kind(X)))<=>(?[X]:((~strong(X)<~>kind(X)))))&
(![X]:((~brave(X)&funny... | ~calm(lucy) | [
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6464143826967521937720736
% SZS output start Proof for 6464143826967521937720736
14. ! [X0] : ((quiet(X0) | patient(X0)) <=> (brave(X0) & ~brave(X0))) [input p13]
15. ! [X0] : ((~creative(X0) & patient(X0)) <=> ~calm(X0)) [input p14]
25. ~calm(lucy) [input hypothesis]
74. ! [X0] : (((quie... | 0 |
Everyone who is not wise or not humble is both tall and not rich and vice versa. Everyone who is either curious or not happy is both curious and calm. Everyone who is not kind is patient and vice versa. Everyone who is both not wise and not generous is humble or not patient and vice versa. Everyone who is strong or cal... | Lucy is not wise. | neutral | (![X]:((~wise(X)|~humble(X))<=>(tall(X)&~rich(X))))&
(![X]:((curious(X)<~>~happy(X))=>(curious(X)&calm(X))))&
(![X]:(~kind(X)<=>patient(X)))&
(![X]:((~wise(X)&~generous(X))<=>(humble(X)|~patient(X))))&
(![X]:((strong(X)|calm(X))<=>(strong(X)<~>~humble(X))))&
(![X]:((~calm(X)<~>~tall(X))=>(~rich(X)|wise(X))))&
(![X]:((r... | ~wise(lucy) | [] | null | 0 |
Everyone who is either old or funny is not old or old and vice versa.
Everyone who is either not funny or not curious is both not curious and not brave and vice versa.
Everyone who is both brave and not creative is both not creative and creative and vice versa.
If someone is either not old or rich then someone is eithe... | John is quiet. | contradiction | (![X]:((old(X)<~>funny(X))<=>(~old(X)|old(X))))&
(![X]:((~funny(X)<~>~curious(X))<=>(~curious(X)&~brave(X))))&
(![X]:((brave(X)&~creative(X))<=>(~creative(X)&creative(X))))&
((?[X]:((~old(X)<~>rich(X))))=>(?[X]:((~curious(X)<~>humble(X)))))&
(((wise(alice)|~generous(alice)))=>((kind(john)<~>quiet(john))))&
(![X]:(patie... | quiet(john) | [
"p5",
"p7",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8688818516622621725204535
% SZS output start Proof for 8688818516622621725204535
6. ! [X0] : (patient(X0) <=> ~humble(X0)) [input p5]
8. ! [X0] : ((~brave(X0) <~> strong(X0)) <=> (~strong(X0) | ~old(X0))) [input p7]
10. ! [X0] : ((~kind(X0) | strong(X0)) => (calm(X0) & old(X0))) [input p9... | 0 |
Everyone who is both curious and not strong is rich and vice versa.
If someone is generous then paul is both generous and curious.
If john is not old then someone is old.
Everyone who is both not old and quiet is both not kind and not old.
If alice is quiet or calm then alice is not curious or curious and vice versa.
E... | Alice is not rich. | entailment | (![X]:((curious(X)&~strong(X))<=>rich(X)))&
((?[X]:(generous(X)))=>((generous(paul)&curious(paul))))&
((~old(john))=>(?[X]:(old(X))))&
(![X]:((~old(X)&quiet(X))=>(~kind(X)&~old(X))))&
(((quiet(alice)|calm(alice)))<=>((~curious(alice)|curious(alice))))&
(![X]:((curious(X)<~>funny(X))<=>(old(X)<~>humble(X))))&
(![X]:((fu... | ~rich(alice) | [
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8290355926629267660389275
% SZS output start Proof for 8290355926629267660389275
8. ! [X0] : ((funny(X0) & curious(X0)) <=> ~patient(X0)) [input p7]
9. ! [X0] : ((wise(X0) | rich(X0)) => (~rich(X0) | ~patient(X0))) [input p8]
15. ! [X0] : (~patient(X0) <=> (~funny(X0) & ~brave(X0))) [inpu... | 0 |
Everyone who is kind or not generous is not kind or not old and vice versa.
If someone is not creative then fred is not curious.
If paul is rich or not creative then someone is either not tall or not creative.
If alice is not strong or not humble then alice is rich or not curious.
If someone is wise or generous then jo... | Alice is not old. | entailment | (![X]:((kind(X)|~generous(X))<=>(~kind(X)|~old(X))))&
((?[X]:(~creative(X)))=>(~curious(fred)))&
(((rich(paul)|~creative(paul)))=>(?[X]:((~tall(X)<~>~creative(X)))))&
(((~strong(alice)|~humble(alice)))=>((rich(alice)|~curious(alice))))&
((?[X]:((wise(X)|generous(X))))<=>((~humble(john)<~>rich(john))))&
(![X]:((creative... | ~old(alice) | [
"p0",
"p5",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3597373093652682177518559
% SZS output start Proof for 3597373093652682177518559
1. ! [X0] : ((~generous(X0) | kind(X0)) <=> (~old(X0) | ~kind(X0))) [input p0]
6. ! [X0] : ((~wise(X0) | creative(X0)) <=> rich(X0)) [input p5]
9. ! [X0] : (~curious(X0) <=> (humble(X0) | ~kind(X0))) [input p... | 0 |
If someone is not old then someone is both not wise and not calm and vice versa.
Everyone who is not calm or not tall is either old or not humble and vice versa.
Everyone who is patient or wise is both humble and not old and vice versa.
Everyone who is creative or funny is creative or quiet.
If someone is both not tall... | Susan is not strong. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&~calm(X)))))&
(![X]:((~calm(X)|~tall(X))<=>(old(X)<~>~humble(X))))&
(![X]:((patient(X)|wise(X))<=>(humble(X)&~old(X))))&
(![X]:((creative(X)|funny(X))=>(creative(X)|quiet(X))))&
((?[X]:((~tall(X)&humble(X))))=>(brave(susan)))&
(![X]:((~wise(X)&~curious(X))<=>(~happy(X)&~calm(X))))&
... | ~strong(susan) | [
"p1",
"p2",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3641342157940583356501028
% SZS output start Proof for 3641342157940583356501028
2. ! [X0] : ((~tall(X0) | ~calm(X0)) <=> (old(X0) <~> ~humble(X0))) [input p1]
3. ! [X0] : ((wise(X0) | patient(X0)) <=> (~old(X0) & humble(X0))) [input p2]
9. ! [X0] : (calm(X0) => (humble(X0) & ~calm(X0))) ... | 0 |
If someone is both brave and not tall then someone is either not quiet or not rich and vice versa.
If someone is either not curious or not rich then mary is generous and vice versa.
Everyone who is not kind or rich is patient and vice versa.
Everyone who is either not strong or not creative is both generous and not old... | Mary is not happy. | neutral | ((?[X]:((brave(X)&~tall(X))))<=>(?[X]:((~quiet(X)<~>~rich(X)))))&
((?[X]:((~curious(X)<~>~rich(X))))<=>(generous(mary)))&
(![X]:((~kind(X)|rich(X))<=>patient(X)))&
(![X]:((~strong(X)<~>~creative(X))<=>(generous(X)&~old(X))))&
(![X]:((quiet(X)|funny(X))=>(humble(X)|kind(X))))&
((?[X]:(~wise(X)))<=>(?[X]:((creative(X)<~>... | ~happy(mary) | [] | null | 0 |
Everyone who is not rich is not generous or brave and vice versa. If john is wise or funny then john is not calm or creative. Everyone who is either old or happy is brave or humble and vice versa. Everyone who is calm is both curious and not curious. If john is not strong then someone is both old and tall. If someone i... | Alice is wise. | neutral | (![X]:(~rich(X)<=>(~generous(X)|brave(X))))&
(((wise(john)|funny(john)))=>((~calm(john)|creative(john))))&
(![X]:((old(X)<~>happy(X))<=>(brave(X)|humble(X))))&
(![X]:(calm(X)=>(curious(X)&~curious(X))))&
((~strong(john))=>(?[X]:((old(X)&tall(X)))))&
((?[X]:((~calm(X)|~brave(X))))<=>((strong(susan)<~>patient(susan))))&
... | wise(alice) | [] | null | 0 |
Everyone who is humble or not humble is not strong and vice versa.
Everyone who is either not calm or not kind is not calm.
Everyone who is either generous or calm is rich and vice versa.
If someone is either creative or strong then mary is not brave.
Everyone who is both humble and happy is either not kind or funny an... | Susan is funny. | contradiction | (![X]:((humble(X)|~humble(X))<=>~strong(X)))&
(![X]:((~calm(X)<~>~kind(X))=>~calm(X)))&
(![X]:((generous(X)<~>calm(X))<=>rich(X)))&
((?[X]:((creative(X)<~>strong(X))))=>(~brave(mary)))&
(![X]:((humble(X)&happy(X))<=>(~kind(X)<~>funny(X))))&
(![X]:(~quiet(X)<=>(~brave(X)|~rich(X))))&
(![X]:(old(X)<=>(generous(X)|~old(X)... | funny(susan) | [
"p0",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 770796538600287598423450
% SZS output start Proof for 770796538600287598423450
1. ! [X0] : ((~humble(X0) | humble(X0)) <=> ~strong(X0)) [input p0]
13. ? [X0] : ~quiet(X0) <=> ? [X0] : strong(X0) [input p12]
17. ~quiet(susan) <~> ~funny(susan) [input p16]
25. funny(susan) [input hypothesis... | 0 |
Everyone who is happy is creative or not old and vice versa.
If fred is not quiet or not calm then lucy is not rich.
If mary is either calm or patient then someone is not rich and vice versa.
Everyone who is creative is either not curious or tall and vice versa.
Everyone who is both not brave and not old is not old.
Ev... | Alice is wise. | contradiction | (![X]:(happy(X)<=>(creative(X)|~old(X))))&
(((~quiet(fred)|~calm(fred)))=>(~rich(lucy)))&
(((calm(mary)<~>patient(mary)))<=>(?[X]:(~rich(X))))&
(![X]:(creative(X)<=>(~curious(X)<~>tall(X))))&
(![X]:((~brave(X)&~old(X))=>~old(X)))&
(![X]:((brave(X)<~>~wise(X))<=>(~old(X)<~>~brave(X))))&
(![X]:((generous(X)&~tall(X))<=>(... | wise(alice) | [
"p0",
"p5",
"p8",
"p18",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3806504035464364160393558
% SZS output start Proof for 3806504035464364160393558
1. ! [X0] : (happy(X0) <=> (~old(X0) | creative(X0))) [input p0]
6. ! [X0] : ((brave(X0) <~> ~wise(X0)) <=> (~old(X0) <~> ~brave(X0))) [input p5]
9. ! [X0] : ((humble(X0) <~> ~calm(X0)) <=> (~happy(X0) & pati... | 0 |
If someone is both generous and funny then someone is tall or calm. Everyone who is brave is both not calm and tall and vice versa. Everyone who is happy or not brave is humble. Everyone who is both not rich and patient is both not brave and not tall and vice versa. Everyone who is creative is rich and vice versa. If a... | Fred is wise. | entailment | ((?[X]:((generous(X)&funny(X))))=>(?[X]:((tall(X)|calm(X)))))&
(![X]:(brave(X)<=>(~calm(X)&tall(X))))&
(![X]:((happy(X)|~brave(X))=>humble(X)))&
(![X]:((~rich(X)&patient(X))<=>(~brave(X)&~tall(X))))&
(![X]:(creative(X)<=>rich(X)))&
((rich(alice))<=>((patient(mary)&~happy(mary))))&
(![X]:(~kind(X)=>(funny(X)|creative(X)... | wise(fred) | [
"p1",
"p3",
"p4",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4232865505161129713951298
% SZS output start Proof for 4232865505161129713951298
2. ! [X0] : (brave(X0) <=> (tall(X0) & ~calm(X0))) [input p1]
4. ! [X0] : ((patient(X0) & ~rich(X0)) <=> (~tall(X0) & ~brave(X0))) [input p3]
5. ! [X0] : (creative(X0) <=> rich(X0)) [input p4]
9. ! [X0] : ((~... | 0 |
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is wise or not tall. Everyone who is either rich or not humble is wise or not old. If someone is not brave then paul is either rich or not funny. If someone is not rich then someone is either not old or fun... | Paul is not brave. | entailment | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(wise(X)|~tall(X))))&
(![X]:((rich(X)<~>~humble(X))=>(wise(X)|~old(X))))&
((?[X]:(~brave(X)))=>((rich(paul)<~>~funny(paul))))&
((?[X]:(~rich(X)))<=>(?[X]:((~old(X)<~>funny(X)))))&
(((old(fred)|~rich(fred)))=>(?[X]:((~tall(X)<~... | ~brave(paul) | [
"p6",
"p9",
"p10",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6897685314787568367811902
% SZS output start Proof for 6897685314787568367811902
7. ! [X0] : ((kind(X0) | ~quiet(X0)) => (patient(X0) & ~wise(X0))) [input p6]
10. ! [X0] : ((brave(X0) <~> rich(X0)) <=> generous(X0)) [input p9]
11. ! [X0] : (~kind(X0) => (generous(X0) & ~humble(X0))) [inpu... | 0 |
If someone is not funny then fred is kind and vice versa.
If someone is not patient then someone is not quiet or not rich.
Everyone who is both kind and tall is either not creative or patient.
If paul is not strong or tall then lucy is old or not quiet.
If someone is both wise and kind then lucy is both wise and genero... | Mary is not strong. | neutral | ((?[X]:(~funny(X)))<=>(kind(fred)))&
((?[X]:(~patient(X)))=>(?[X]:((~quiet(X)|~rich(X)))))&
(![X]:((kind(X)&tall(X))=>(~creative(X)<~>patient(X))))&
(((~strong(paul)|tall(paul)))=>((old(lucy)|~quiet(lucy))))&
((?[X]:((wise(X)&kind(X))))=>((wise(lucy)&generous(lucy))))&
(![X]:((brave(X)|quiet(X))=>(calm(X)&~old(X))))&
(... | ~strong(mary) | [] | null | 0 |
Everyone who is both not strong and patient is either funny or not humble.
Everyone who is both not strong and calm is either wise or not brave and vice versa.
If susan is either not old or not brave then someone is brave and vice versa.
Everyone who is kind is not generous and vice versa.
Everyone who is not generous ... | John is generous. | contradiction | (![X]:((~strong(X)&patient(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~strong(X)&calm(X))<=>(wise(X)<~>~brave(X))))&
(((~old(susan)<~>~brave(susan)))<=>(?[X]:(brave(X))))&
(![X]:(kind(X)<=>~generous(X)))&
(![X]:(~generous(X)=>(humble(X)|tall(X))))&
((?[X]:((~quiet(X)&~tall(X))))<=>(?[X]:((~rich(X)&creative(X)))))&
((?[X]:... | generous(john) | [
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1517799146682421490105377
% SZS output start Proof for 1517799146682421490105377
9. ! [X0] : (funny(X0) <=> (brave(X0) | ~funny(X0))) [input p8]
18. funny(john) <~> generous(john) [input p17]
25. generous(john) [input hypothesis]
55. ! [X0] : ((funny(X0) | (~brave(X0) & funny(X0))) & ((br... | 0 |
If someone is kind then lucy is wise or funny. If mary is tall or quiet then lucy is either not rich or not creative. Everyone who is creative is both not happy and curious. Everyone who is both not quiet and patient is rich and vice versa. If someone is kind then alice is both not happy and humble. Everyone who is eit... | Alice is not quiet. | entailment | ((?[X]:(kind(X)))=>((wise(lucy)|funny(lucy))))&
(((tall(mary)|quiet(mary)))=>((~rich(lucy)<~>~creative(lucy))))&
(![X]:(creative(X)=>(~happy(X)&curious(X))))&
(![X]:((~quiet(X)&patient(X))<=>rich(X)))&
((?[X]:(kind(X)))=>((~happy(alice)&humble(alice))))&
(![X]:((patient(X)<~>~strong(X))<=>(~generous(X)<~>curious(X))))&... | ~quiet(alice) | [
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7220487565886578814376718
% SZS output start Proof for 7220487565886578814376718
4. ! [X0] : ((patient(X0) & ~quiet(X0)) <=> rich(X0)) [input p3]
9. ~curious(alice) <=> ? [X0] : ~rich(X0) [input p8]
14. ! [X0] : (rich(X0) <=> ~curious(X0)) [input p13]
25. quiet(alice) [input hypothesis]
3... | 0 |
If someone is either not humble or generous then john is not creative and vice versa.
Everyone who is generous or not quiet is either not strong or not funny.
If someone is both not creative and wise then john is quiet and vice versa.
Everyone who is not rich is not calm or not wise.
Everyone who is both generous and n... | John is tall. | neutral | ((?[X]:((~humble(X)<~>generous(X))))<=>(~creative(john)))&
(![X]:((generous(X)|~quiet(X))=>(~strong(X)<~>~funny(X))))&
((?[X]:((~creative(X)&wise(X))))<=>(quiet(john)))&
(![X]:(~rich(X)=>(~calm(X)|~wise(X))))&
(![X]:((generous(X)&~patient(X))<=>patient(X)))&
((?[X]:((~strong(X)|~brave(X))))<=>((~patient(john)&creative(... | tall(john) | [] | null | 0 |
Everyone who is not generous is patient and vice versa.
If paul is either curious or calm then lucy is both humble and tall.
Everyone who is both funny and generous is wise or not creative and vice versa.
Everyone who is both not wise and not creative is either rich or wise.
If someone is not generous then someone is b... | Paul is wise. | contradiction | (![X]:(~generous(X)<=>patient(X)))&
(((curious(paul)<~>calm(paul)))=>((humble(lucy)&tall(lucy))))&
(![X]:((funny(X)&generous(X))<=>(wise(X)|~creative(X))))&
(![X]:((~wise(X)&~creative(X))=>(rich(X)<~>wise(X))))&
((?[X]:(~generous(X)))=>(?[X]:((tall(X)&~rich(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((~brave(X)&rich(X)))))&
((... | wise(paul) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 515927893306997398482772
% SZS output start Proof for 515927893306997398482772
3. ! [X0] : ((generous(X0) & funny(X0)) <=> (~creative(X0) | wise(X0))) [input p2]
14. ! [X0] : ((funny(X0) & ~funny(X0)) <=> (wise(X0) | patient(X0))) [input p13]
23. wise(paul) [input hypothesis]
41. ! [X0] :... | 0 |
If mary is either curious or funny then someone is either calm or not humble.
Everyone who is patient is not curious or not brave.
Everyone who is not humble or not funny is either tall or old.
If lucy is not brave then alice is either humble or patient and vice versa.
If someone is tall or not patient then paul is eit... | Lucy is not generous. | entailment | (((curious(mary)<~>funny(mary)))=>(?[X]:((calm(X)<~>~humble(X)))))&
(![X]:(patient(X)=>(~curious(X)|~brave(X))))&
(![X]:((~humble(X)|~funny(X))=>(tall(X)<~>old(X))))&
((~brave(lucy))<=>((humble(alice)<~>patient(alice))))&
((?[X]:((tall(X)|~patient(X))))=>((~happy(paul)<~>happy(paul))))&
((?[X]:((~calm(X)|generous(X))))... | ~generous(lucy) | [
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1060076267678838980931881
% SZS output start Proof for 1060076267678838980931881
6. ? [X0] : (generous(X0) | ~calm(X0)) <=> generous(fred) [input p5]
20. ~generous(fred) [input p19]
25. generous(lucy) [input hypothesis]
47. (? [X0] : (generous(X0) | ~calm(X0)) | ~generous(fred)) & (genero... | 0 |
If mary is happy then john is curious or not calm.
Everyone who is both not rich and not creative is both not curious and calm.
Everyone who is either brave or quiet is funny or not generous.
Everyone who is not curious or humble is kind and vice versa.
Everyone who is funny or not brave is quiet or not strong.
Everyon... | Paul is wise. | neutral | ((happy(mary))=>((curious(john)|~calm(john))))&
(![X]:((~rich(X)&~creative(X))=>(~curious(X)&calm(X))))&
(![X]:((brave(X)<~>quiet(X))=>(funny(X)|~generous(X))))&
(![X]:((~curious(X)|humble(X))<=>kind(X)))&
(![X]:((funny(X)|~brave(X))=>(quiet(X)|~strong(X))))&
(![X]:((patient(X)|kind(X))=>~old(X)))&
(![X]:((~calm(X)|~fu... | wise(paul) | [] | null | 0 |
If someone is not patient or not happy then mary is both generous and not funny and vice versa.
If john is not generous or not happy then susan is both quiet and not creative.
If susan is both curious and not old then someone is either not creative or rich and vice versa.
If alice is not kind then someone is not curiou... | John is not happy. | contradiction | ((?[X]:((~patient(X)|~happy(X))))<=>((generous(mary)&~funny(mary))))&
(((~generous(john)|~happy(john)))=>((quiet(susan)&~creative(susan))))&
(((curious(susan)&~old(susan)))<=>(?[X]:((~creative(X)<~>rich(X)))))&
((~kind(alice))=>(?[X]:((~curious(X)|~humble(X)))))&
((?[X]:((~kind(X)|~curious(X))))=>(?[X]:((~funny(X)<~>cr... | ~happy(john) | [
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8498137477485611382162544
% SZS output start Proof for 8498137477485611382162544
7. ! [X0] : ((~kind(X0) | rich(X0)) <=> (~creative(X0) & ~happy(X0))) [input p6]
15. ! [X0] : ((~creative(X0) | kind(X0)) => (~calm(X0) & happy(X0))) [input p14]
23. ~happy(john) [input hypothesis]
36. ! [X0]... | 0 |
Everyone who is both patient and not old is not tall or not patient.
If someone is both wise and brave then mary is either happy or generous.
Everyone who is either kind or not kind is happy.
If someone is tall then someone is both tall and not patient and vice versa.
If someone is both not rich and not wise then john ... | Alice is curious. | entailment | (![X]:((patient(X)&~old(X))=>(~tall(X)|~patient(X))))&
((?[X]:((wise(X)&brave(X))))=>((happy(mary)<~>generous(mary))))&
(![X]:((kind(X)<~>~kind(X))=>happy(X)))&
((?[X]:(tall(X)))<=>(?[X]:((tall(X)&~patient(X)))))&
((?[X]:((~rich(X)&~wise(X))))=>((patient(john)&strong(john))))&
((?[X]:((quiet(X)&~calm(X))))<=>(?[X]:((br... | curious(alice) | [
"p2",
"p6",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3777299416881831832551223
% SZS output start Proof for 3777299416881831832551223
3. ! [X0] : ((kind(X0) <~> ~kind(X0)) => happy(X0)) [input p2]
7. ! [X0] : ((quiet(X0) | happy(X0)) => (generous(X0) | curious(X0))) [input p6]
9. ! [X0] : ((patient(X0) <~> quiet(X0)) <=> (wise(X0) | happy(X... | 0 |
Everyone who is not quiet or brave is curious or generous.
Everyone who is both not brave and generous is not rich and vice versa.
If someone is either not quiet or creative then someone is patient and vice versa.
Everyone who is not funny or strong is strong or not generous and vice versa.
If someone is not quiet or c... | Mary is not curious. | contradiction | (![X]:((~quiet(X)|brave(X))=>(curious(X)|generous(X))))&
(![X]:((~brave(X)&generous(X))<=>~rich(X)))&
((?[X]:((~quiet(X)<~>creative(X))))<=>(?[X]:(patient(X))))&
(![X]:((~funny(X)|strong(X))<=>(strong(X)|~generous(X))))&
((?[X]:((~quiet(X)|curious(X))))=>((humble(lucy)|happy(lucy))))&
(![X]:((humble(X)<~>curious(X))=>~... | ~curious(mary) | [
"p0",
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2960005195526841555234416
% SZS output start Proof for 2960005195526841555234416
1. ! [X0] : ((brave(X0) | ~quiet(X0)) => (generous(X0) | curious(X0))) [input p0]
4. ! [X0] : ((strong(X0) | ~funny(X0)) <=> (~generous(X0) | strong(X0))) [input p3]
7. ! [X0] : ((strong(X0) | calm(X0)) => (~... | 0 |
If someone is not quiet then someone is both not humble and not curious.
Everyone who is both not rich and happy is not calm and vice versa.
If someone is either not curious or humble then mary is not tall or not brave.
Everyone who is both creative and rich is not patient and vice versa.
If lucy is both tall and stron... | Fred is not generous. | neutral | ((?[X]:(~quiet(X)))=>(?[X]:((~humble(X)&~curious(X)))))&
(![X]:((~rich(X)&happy(X))<=>~calm(X)))&
((?[X]:((~curious(X)<~>humble(X))))=>((~tall(mary)|~brave(mary))))&
(![X]:((creative(X)&rich(X))<=>~patient(X)))&
(((tall(lucy)&strong(lucy)))<=>((~patient(lucy)|~wise(lucy))))&
(((~strong(mary)|~wise(mary)))<=>((old(mary)... | ~generous(fred) | [] | null | 0 |
Everyone who is kind or not calm is curious or not wise. If alice is not patient or wise then fred is either not happy or not generous and vice versa. Everyone who is either brave or not creative is both not quiet and quiet. Everyone who is both not kind and strong is not brave or not rich. If someone is funny or not h... | Susan is not calm. | entailment | (![X]:((kind(X)|~calm(X))=>(curious(X)|~wise(X))))&
(((~patient(alice)|wise(alice)))<=>((~happy(fred)<~>~generous(fred))))&
(![X]:((brave(X)<~>~creative(X))=>(~quiet(X)&quiet(X))))&
(![X]:((~kind(X)&strong(X))=>(~brave(X)|~rich(X))))&
((?[X]:((funny(X)|~humble(X))))=>(?[X]:((~strong(X)|~tall(X)))))&
((?[X]:((old(X)|hum... | ~calm(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5353008881850717960651603
% SZS output start Proof for 5353008881850717960651603
10. ! [X0] : ((calm(X0) | tall(X0)) <=> (creative(X0) & ~calm(X0))) [input p9]
24. calm(susan) [input hypothesis]
53. ! [X0] : (((calm(X0) | tall(X0)) | (~creative(X0) | calm(X0))) & ((creative(X0) & ~calm(X0... | 0 |
Everyone who is both not funny and not humble is tall or rich.
Everyone who is either not humble or brave is generous and vice versa.
Everyone who is either not kind or kind is brave or wise and vice versa.
Everyone who is both not funny and not strong is calm and vice versa.
If someone is not funny then susan is eithe... | Mary is quiet. | contradiction | (![X]:((~funny(X)&~humble(X))=>(tall(X)|rich(X))))&
(![X]:((~humble(X)<~>brave(X))<=>generous(X)))&
(![X]:((~kind(X)<~>kind(X))<=>(brave(X)|wise(X))))&
(![X]:((~funny(X)&~strong(X))<=>calm(X)))&
((?[X]:(~funny(X)))<=>((~brave(susan)<~>curious(susan))))&
((~generous(susan))<=>(?[X]:((patient(X)&humble(X)))))&
((?[X]:((o... | quiet(mary) | [
"p1",
"p3",
"p8",
"p9",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 17184502758847810468365
% SZS output start Proof for 17184502758847810468365
2. ! [X0] : ((~humble(X0) <~> brave(X0)) <=> generous(X0)) [input p1]
4. ! [X0] : ((~strong(X0) & ~funny(X0)) <=> calm(X0)) [input p3]
9. ! [X0] : (quiet(X0) => (~humble(X0) & wise(X0))) [input p8]
10. ! [X0] : (... | 0 |
Everyone who is not curious or old is not funny and vice versa. Everyone who is either not patient or curious is calm or kind. Everyone who is not strong or not curious is happy or calm and vice versa. Everyone who is not tall or tall is either rich or not wise. Everyone who is not funny is both not happy and not gener... | Lucy is kind. | entailment | (![X]:((~curious(X)|old(X))<=>~funny(X)))&
(![X]:((~patient(X)<~>curious(X))=>(calm(X)|kind(X))))&
(![X]:((~strong(X)|~curious(X))<=>(happy(X)|calm(X))))&
(![X]:((~tall(X)|tall(X))=>(rich(X)<~>~wise(X))))&
(![X]:(~funny(X)=>(~happy(X)&~generous(X))))&
((?[X]:((~happy(X)&~wise(X))))=>((rich(fred)<~>kind(fred))))&
((?[X]... | kind(lucy) | [
"p8",
"p13",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5417598736965384211683889
% SZS output start Proof for 5417598736965384211683889
9. (~brave(susan) | brave(susan)) <=> old(lucy) [input p8]
14. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~calm(X0) | kind(X0))) [input p13]
17. ~happy(lucy) [input p16]
22. calm(lucy) | ~old(lucy) [input p21]
2... | 0 |
Everyone who is both curious and not rich is not creative or not tall.
Everyone who is not humble or not wise is old.
If alice is both funny and not curious then fred is both quiet and wise and vice versa.
Everyone who is not generous is both creative and not humble.
Everyone who is both generous and not old is both ca... | Lucy is patient. | neutral | (![X]:((curious(X)&~rich(X))=>(~creative(X)|~tall(X))))&
(![X]:((~humble(X)|~wise(X))=>old(X)))&
(((funny(alice)&~curious(alice)))<=>((quiet(fred)&wise(fred))))&
(![X]:(~generous(X)=>(creative(X)&~humble(X))))&
(![X]:((generous(X)&~old(X))=>(calm(X)&kind(X))))&
(![X]:((~quiet(X)|~generous(X))=>(happy(X)<~>generous(X)))... | patient(lucy) | [] | null | 0 |
If alice is both brave and quiet then mary is not patient and vice versa.
If someone is not old then someone is strong and vice versa.
Everyone who is not funny or not wise is happy and vice versa.
Everyone who is not creative or old is either humble or not brave.
Everyone who is either not brave or not creative is eit... | Fred is not happy. | neutral | (((brave(alice)&quiet(alice)))<=>(~patient(mary)))&
((?[X]:(~old(X)))<=>(?[X]:(strong(X))))&
(![X]:((~funny(X)|~wise(X))<=>happy(X)))&
(![X]:((~creative(X)|old(X))=>(humble(X)<~>~brave(X))))&
(![X]:((~brave(X)<~>~creative(X))=>(~humble(X)<~>~wise(X))))&
((?[X]:((~kind(X)|creative(X))))=>(?[X]:((~rich(X)&~patient(X)))))... | ~happy(fred) | [] | null | 0 |
Everyone who is both generous and not funny is humble or not kind and vice versa.
Everyone who is funny or calm is both not rich and strong and vice versa.
Everyone who is either generous or not strong is not wise or old and vice versa.
If someone is humble or not rich then susan is both generous and not tall and vice ... | Mary is rich. | entailment | (![X]:((generous(X)&~funny(X))<=>(humble(X)|~kind(X))))&
(![X]:((funny(X)|calm(X))<=>(~rich(X)&strong(X))))&
(![X]:((generous(X)<~>~strong(X))<=>(~wise(X)|old(X))))&
((?[X]:((humble(X)|~rich(X))))<=>((generous(susan)&~tall(susan))))&
((~old(paul))<=>(?[X]:((~old(X)|tall(X)))))&
(![X]:((rich(X)<~>curious(X))=>(strong(X)... | rich(mary) | [
"p0",
"p1",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4363092738115849791127494
% SZS output start Proof for 4363092738115849791127494
1. ! [X0] : ((~funny(X0) & generous(X0)) <=> (~kind(X0) | humble(X0))) [input p0]
2. ! [X0] : ((calm(X0) | funny(X0)) <=> (strong(X0) & ~rich(X0))) [input p1]
4. ? [X0] : (~rich(X0) | humble(X0)) <=> (~tall(s... | 0 |
If susan is not creative or not generous then someone is not brave and vice versa. If paul is not old or old then someone is strong and vice versa. If someone is either not creative or creative then alice is either rich or kind and vice versa. Everyone who is both not rich and not happy is strong. If fred is kind or pa... | Paul is not generous. | neutral | (((~creative(susan)|~generous(susan)))<=>(?[X]:(~brave(X))))&
(((~old(paul)|old(paul)))<=>(?[X]:(strong(X))))&
((?[X]:((~creative(X)<~>creative(X))))<=>((rich(alice)<~>kind(alice))))&
(![X]:((~rich(X)&~happy(X))=>strong(X)))&
(((kind(fred)|patient(fred)))=>((wise(susan)&~generous(susan))))&
(![X]:(tall(X)=>(~rich(X)&~h... | ~generous(paul) | [] | null | 0 |
Everyone who is not happy or creative is either brave or not kind and vice versa. Everyone who is old or not creative is either curious or quiet. Everyone who is either not humble or not tall is both not curious and not brave and vice versa. Everyone who is either not curious or not strong is not rich or old. Everyone ... | Lucy is quiet. | neutral | (![X]:((~happy(X)|creative(X))<=>(brave(X)<~>~kind(X))))&
(![X]:((old(X)|~creative(X))=>(curious(X)<~>quiet(X))))&
(![X]:((~humble(X)<~>~tall(X))<=>(~curious(X)&~brave(X))))&
(![X]:((~curious(X)<~>~strong(X))=>(~rich(X)|old(X))))&
(![X]:((~wise(X)<~>wise(X))=>(~humble(X)<~>brave(X))))&
(((generous(mary)<~>calm(mary)))=... | quiet(lucy) | [] | null | 0 |
If someone is humble or not happy then someone is both not quiet and kind and vice versa.
Everyone who is either creative or not brave is not brave and vice versa.
If someone is both not strong and calm then someone is either kind or humble.
If someone is strong then lucy is both funny and happy.
Everyone who is either... | Lucy is not strong. | entailment | ((?[X]:((humble(X)|~happy(X))))<=>(?[X]:((~quiet(X)&kind(X)))))&
(![X]:((creative(X)<~>~brave(X))<=>~brave(X)))&
((?[X]:((~strong(X)&calm(X))))=>(?[X]:((kind(X)<~>humble(X)))))&
((?[X]:(strong(X)))=>((funny(lucy)&happy(lucy))))&
(![X]:((~tall(X)<~>~rich(X))=>~brave(X)))&
((?[X]:((wise(X)<~>curious(X))))<=>(?[X]:((~calm... | ~strong(lucy) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3788826104711261494255957
% SZS output start Proof for 3788826104711261494255957
2. ! [X0] : ((creative(X0) <~> ~brave(X0)) <=> ~brave(X0)) [input p1]
16. ! [X0] : ((humble(X0) <~> creative(X0)) <=> (~strong(X0) <~> ~humble(X0))) [input p15]
22. strong(lucy) [input hypothesis]
41. ! [X0] ... | 0 |
Everyone who is both wise and kind is either rich or old. Everyone who is rich or not strong is quiet or not funny and vice versa. Everyone who is both brave and strong is rich. If paul is curious or not tall then someone is strong. Everyone who is rich or humble is either wise or generous and vice versa. If susan is e... | Fred is not quiet. | contradiction | (![X]:((wise(X)&kind(X))=>(rich(X)<~>old(X))))&
(![X]:((rich(X)|~strong(X))<=>(quiet(X)|~funny(X))))&
(![X]:((brave(X)&strong(X))=>rich(X)))&
(((curious(paul)|~tall(paul)))=>(?[X]:(strong(X))))&
(![X]:((rich(X)|humble(X))<=>(wise(X)<~>generous(X))))&
(((patient(susan)<~>~happy(susan)))<=>(?[X]:((~tall(X)&~old(X)))))&
(... | ~quiet(fred) | [
"p1",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8986308384941571673383974
% SZS output start Proof for 8986308384941571673383974
2. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~funny(X0) | quiet(X0))) [input p1]
11. ! [X0] : (funny(X0) <=> (rich(X0) <~> ~strong(X0))) [input p10]
23. ~brave(fred) & ~rich(fred) [input p22]
25. ~quiet(fred) [... | 0 |
Everyone who is either strong or old is both not curious and funny and vice versa. Everyone who is not funny is both not calm and not curious and vice versa. Everyone who is either kind or old is quiet and vice versa. If someone is both quiet and creative then someone is not kind and vice versa. Everyone who is brave o... | Alice is happy. | contradiction | (![X]:((strong(X)<~>old(X))<=>(~curious(X)&funny(X))))&
(![X]:(~funny(X)<=>(~calm(X)&~curious(X))))&
(![X]:((kind(X)<~>old(X))<=>quiet(X)))&
((?[X]:((quiet(X)&creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:((brave(X)|~humble(X))=>quiet(X)))&
(![X]:((~rich(X)<~>strong(X))<=>(calm(X)|~generous(X))))&
(![X]:((~wise(X)&brave(X... | happy(alice) | [
"p1",
"p4",
"p6",
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 720414407292566365387630
% SZS output start Proof for 720414407292566365387630
2. ! [X0] : (~funny(X0) <=> (~curious(X0) & ~calm(X0))) [input p1]
5. ! [X0] : ((~humble(X0) | brave(X0)) => quiet(X0)) [input p4]
7. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (funny(X0) | patient(X0))) [input p6]
... | 0 |
Everyone who is both not calm and brave is both not rich and not brave and vice versa.
If lucy is not quiet or rich then alice is not rich or not funny.
Everyone who is either not kind or not humble is not brave or creative and vice versa.
If susan is both not wise and calm then someone is either generous or humble and... | Fred is curious. | neutral | (![X]:((~calm(X)&brave(X))<=>(~rich(X)&~brave(X))))&
(((~quiet(lucy)|rich(lucy)))=>((~rich(alice)|~funny(alice))))&
(![X]:((~kind(X)<~>~humble(X))<=>(~brave(X)|creative(X))))&
(((~wise(susan)&calm(susan)))<=>(?[X]:((generous(X)<~>humble(X)))))&
(![X]:(~calm(X)=>creative(X)))&
(![X]:(brave(X)=>(~brave(X)<~>funny(X))))&
... | curious(fred) | [] | null | 0 |
If someone is both not curious and quiet then lucy is brave or not wise.
Everyone who is not calm is either not curious or kind.
Everyone who is patient is both not patient and calm and vice versa.
If alice is not old then someone is quiet and vice versa.
If someone is either curious or not funny then lucy is both gene... | Paul is not patient. | entailment | ((?[X]:((~curious(X)&quiet(X))))=>((brave(lucy)|~wise(lucy))))&
(![X]:(~calm(X)=>(~curious(X)<~>kind(X))))&
(![X]:(patient(X)<=>(~patient(X)&calm(X))))&
((~old(alice))<=>(?[X]:(quiet(X))))&
((?[X]:((curious(X)<~>~funny(X))))<=>((generous(lucy)&creative(lucy))))&
((?[X]:((~rich(X)&~kind(X))))=>((curious(alice)&generous(... | ~patient(paul) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4419366175237845244725920
% SZS output start Proof for 4419366175237845244725920
3. ! [X0] : (patient(X0) <=> (calm(X0) & ~patient(X0))) [input p2]
25. patient(paul) [input hypothesis]
40. ! [X0] : ((patient(X0) | (~calm(X0) | patient(X0))) & ((calm(X0) & ~patient(X0)) | ~patient(X0))) [n... | 0 |
If someone is both not curious and not rich then someone is either not rich or not humble and vice versa.
Everyone who is either not creative or kind is not patient.
Everyone who is not happy is both not wise and not old.
If fred is humble then someone is either not humble or not tall.
If someone is both not quiet and ... | Susan is not kind. | contradiction | ((?[X]:((~curious(X)&~rich(X))))<=>(?[X]:((~rich(X)<~>~humble(X)))))&
(![X]:((~creative(X)<~>kind(X))=>~patient(X)))&
(![X]:(~happy(X)=>(~wise(X)&~old(X))))&
((humble(fred))=>(?[X]:((~humble(X)<~>~tall(X)))))&
((?[X]:((~quiet(X)&tall(X))))<=>(?[X]:(quiet(X))))&
(![X]:(~creative(X)<=>(~tall(X)|creative(X))))&
(![X]:((~q... | ~kind(susan) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3390354038434324964613341
% SZS output start Proof for 3390354038434324964613341
5. ? [X0] : (tall(X0) & ~quiet(X0)) <=> ? [X0] : quiet(X0) [input p4]
6. ! [X0] : (~creative(X0) <=> (creative(X0) | ~tall(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~quiet(X0)) => (calm(X0) & ~quiet(X0))) [in... | 0 |
If someone is curious or not curious then susan is funny or tall and vice versa. Everyone who is strong or not quiet is not quiet. Everyone who is either not old or not quiet is both not rich and wise. Everyone who is strong or not happy is both rich and patient. Everyone who is not kind or not tall is not happy and vi... | Lucy is not humble. | neutral | ((?[X]:((curious(X)|~curious(X))))<=>((funny(susan)|tall(susan))))&
(![X]:((strong(X)|~quiet(X))=>~quiet(X)))&
(![X]:((~old(X)<~>~quiet(X))=>(~rich(X)&wise(X))))&
(![X]:((strong(X)|~happy(X))=>(rich(X)&patient(X))))&
(![X]:((~kind(X)|~tall(X))<=>~happy(X)))&
(![X]:(~funny(X)<=>~old(X)))&
(((generous(lucy)&~happy(lucy))... | ~humble(lucy) | [] | null | 0 |
If alice is not strong or not curious then someone is either not wise or creative and vice versa.
If lucy is not generous then someone is quiet or rich and vice versa.
If mary is both not happy and not generous then alice is either strong or happy and vice versa.
If someone is either happy or not humble then lucy is br... | Alice is brave. | entailment | (((~strong(alice)|~curious(alice)))<=>(?[X]:((~wise(X)<~>creative(X)))))&
((~generous(lucy))<=>(?[X]:((quiet(X)|rich(X)))))&
(((~happy(mary)&~generous(mary)))<=>((strong(alice)<~>happy(alice))))&
((?[X]:((happy(X)<~>~humble(X))))=>((brave(lucy)|~rich(lucy))))&
(![X]:((~curious(X)&calm(X))<=>(~generous(X)<~>~brave(X))))... | brave(alice) | [
"p8",
"p10",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2003162009654294952724410
% SZS output start Proof for 2003162009654294952724410
9. ! [X0] : ((kind(X0) & ~rich(X0)) <=> (~happy(X0) | ~creative(X0))) [input p8]
11. ! [X0] : (funny(X0) <=> (~curious(X0) | quiet(X0))) [input p10]
12. ! [X0] : (funny(X0) <=> ~creative(X0)) [input p11]
14. ... | 0 |
If someone is not curious or quiet then alice is both brave and curious.
If someone is either not calm or not quiet then someone is not strong.
If lucy is not brave then alice is strong or tall and vice versa.
Everyone who is both brave and patient is either not strong or wise and vice versa.
Everyone who is both brave... | Lucy is brave. | contradiction | ((?[X]:((~curious(X)|quiet(X))))=>((brave(alice)&curious(alice))))&
((?[X]:((~calm(X)<~>~quiet(X))))=>(?[X]:(~strong(X))))&
((~brave(lucy))<=>((strong(alice)|tall(alice))))&
(![X]:((brave(X)&patient(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((brave(X)&~old(X))<=>(~rich(X)|~old(X))))&
(![X]:((~curious(X)&~strong(X))<=>patie... | brave(lucy) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2960168446749259123428872
% SZS output start Proof for 2960168446749259123428872
1. ? [X0] : (quiet(X0) | ~curious(X0)) => (curious(alice) & brave(alice)) [input p0]
3. ~brave(lucy) <=> (tall(alice) | strong(alice)) [input p2]
4. ! [X0] : ((patient(X0) & brave(X0)) <=> (~strong(X0) <~> wi... | 0 |
Everyone who is either not strong or brave is brave and vice versa.
If susan is either wise or humble then mary is both strong and brave.
Everyone who is humble is either tall or brave.
Everyone who is not quiet or creative is quiet or not quiet and vice versa.
Everyone who is both creative and patient is both not brav... | Mary is not wise. | contradiction | (![X]:((~strong(X)<~>brave(X))<=>brave(X)))&
(((wise(susan)<~>humble(susan)))=>((strong(mary)&brave(mary))))&
(![X]:(humble(X)=>(tall(X)<~>brave(X))))&
(![X]:((~quiet(X)|creative(X))<=>(quiet(X)|~quiet(X))))&
(![X]:((creative(X)&patient(X))<=>(~brave(X)&rich(X))))&
(![X]:((wise(X)&~brave(X))=>(~brave(X)&calm(X))))&
((?... | ~wise(mary) | [
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 543459694830267945628023
% SZS output start Proof for 543459694830267945628023
11. ! [X0] : ((brave(X0) | ~wise(X0)) <=> ~funny(X0)) [input p10]
13. ! [X0] : ((old(X0) | ~tall(X0)) => funny(X0)) [input p12]
19. strong(mary) & old(mary) [input p18]
23. ~wise(mary) [input hypothesis]
32. ! ... | 0 |
If someone is patient then someone is not creative.
Everyone who is either not old or tall is both not quiet and not humble and vice versa.
If susan is either not strong or not calm then susan is either strong or brave and vice versa.
If someone is both patient and not quiet then someone is either not quiet or brave an... | John is not tall. | entailment | ((?[X]:(patient(X)))=>(?[X]:(~creative(X))))&
(![X]:((~old(X)<~>tall(X))<=>(~quiet(X)&~humble(X))))&
(((~strong(susan)<~>~calm(susan)))<=>((strong(susan)<~>brave(susan))))&
((?[X]:((patient(X)&~quiet(X))))<=>(?[X]:((~quiet(X)<~>brave(X)))))&
(![X]:(~old(X)=>(~rich(X)<~>~creative(X))))&
(((~wise(john)<~>patient(john)))<... | ~tall(john) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8833178973995690457261077
% SZS output start Proof for 8833178973995690457261077
10. ! [X0] : (patient(X0) <=> (quiet(X0) & ~patient(X0))) [input p9]
13. ! [X0] : ((~patient(X0) & ~quiet(X0)) => (old(X0) & ~tall(X0))) [input p12]
21. tall(john) [input hypothesis]
30. ! [X0] : ((old(X0) & ... | 0 |
If fred is both generous and wise then alice is either not curious or happy and vice versa. Everyone who is both creative and quiet is quiet or happy and vice versa. If susan is either creative or not rich then lucy is both kind and not brave and vice versa. Everyone who is either not rich or funny is both patient and ... | Alice is funny. | neutral | (((generous(fred)&wise(fred)))<=>((~curious(alice)<~>happy(alice))))&
(![X]:((creative(X)&quiet(X))<=>(quiet(X)|happy(X))))&
(((creative(susan)<~>~rich(susan)))<=>((kind(lucy)&~brave(lucy))))&
(![X]:((~rich(X)<~>funny(X))<=>(patient(X)&~patient(X))))&
(![X]:((~kind(X)|funny(X))<=>(~brave(X)&~patient(X))))&
((?[X]:((~wi... | funny(alice) | [] | null | 0 |
Everyone who is not rich is not kind and vice versa.
Everyone who is either not brave or not creative is not tall and vice versa.
Everyone who is either happy or not patient is not generous or not kind and vice versa.
Everyone who is either rich or not curious is not happy and vice versa.
Everyone who is generous is ge... | Susan is not happy. | entailment | (![X]:(~rich(X)<=>~kind(X)))&
(![X]:((~brave(X)<~>~creative(X))<=>~tall(X)))&
(![X]:((happy(X)<~>~patient(X))<=>(~generous(X)|~kind(X))))&
(![X]:((rich(X)<~>~curious(X))<=>~happy(X)))&
(![X]:(generous(X)=>(generous(X)|~happy(X))))&
(![X]:((rich(X)<~>patient(X))=>(strong(X)&~curious(X))))&
(![X]:((~patient(X)&~curious(X... | ~happy(susan) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9175616116022498190958237
% SZS output start Proof for 9175616116022498190958237
1. ! [X0] : (~rich(X0) <=> ~kind(X0)) [input p0]
3. ! [X0] : ((happy(X0) <~> ~patient(X0)) <=> (~kind(X0) | ~generous(X0))) [input p2]
4. ! [X0] : ((rich(X0) <~> ~curious(X0)) <=> ~happy(X0)) [input p3]
6. ! ... | 0 |
Everyone who is both funny and old is not patient or strong and vice versa.
If someone is both tall and not curious then someone is not strong or not happy and vice versa.
Everyone who is calm or kind is both tall and not rich and vice versa.
If susan is both not wise and not happy then someone is not strong.
If fred i... | Fred is not tall. | neutral | (![X]:((funny(X)&old(X))<=>(~patient(X)|strong(X))))&
((?[X]:((tall(X)&~curious(X))))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((calm(X)|kind(X))<=>(tall(X)&~rich(X))))&
(((~wise(susan)&~happy(susan)))=>(?[X]:(~strong(X))))&
(((curious(fred)|kind(fred)))=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((~old(X)&happy(X))=>rich(... | ~tall(fred) | [] | null | 0 |
Everyone who is both not quiet and rich is brave or not brave and vice versa.
Everyone who is not wise or patient is old or not humble and vice versa.
Everyone who is either not happy or not generous is old.
If mary is either not happy or not calm then susan is not tall.
Everyone who is curious or not curious is genero... | Mary is not humble. | entailment | (![X]:((~quiet(X)&rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~wise(X)|patient(X))<=>(old(X)|~humble(X))))&
(![X]:((~happy(X)<~>~generous(X))=>old(X)))&
(((~happy(mary)<~>~calm(mary)))=>(~tall(susan)))&
(![X]:((curious(X)|~curious(X))=>generous(X)))&
((?[X]:((strong(X)|humble(X))))<=>(?[X]:((kind(X)&generous(X)))))&
(![... | ~humble(mary) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 365802867571702322464737
% SZS output start Proof for 365802867571702322464737
1. ! [X0] : ((rich(X0) & ~quiet(X0)) <=> (~brave(X0) | brave(X0))) [input p0]
11. ? [X0] : (wise(X0) | humble(X0)) <=> ~rich(fred) [input p10]
23. humble(mary) [input hypothesis]
33. ! [X0] : (((rich(X0) & ~qui... | 0 |
If someone is either not happy or not strong then mary is both not humble and not brave.
If someone is either old or wise then alice is not curious and vice versa.
Everyone who is generous is either not tall or old and vice versa.
Everyone who is wise or creative is both funny and not old and vice versa.
If paul is not... | Mary is not funny. | contradiction | ((?[X]:((~happy(X)<~>~strong(X))))=>((~humble(mary)&~brave(mary))))&
((?[X]:((old(X)<~>wise(X))))<=>(~curious(alice)))&
(![X]:(generous(X)<=>(~tall(X)<~>old(X))))&
(![X]:((wise(X)|creative(X))<=>(funny(X)&~old(X))))&
(((~humble(paul)|~tall(paul)))=>(~patient(mary)))&
(((~happy(paul)|generous(paul)))<=>((~quiet(fred)&~s... | ~funny(mary) | [
"p3",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6017585120812540994211657
% SZS output start Proof for 6017585120812540994211657
4. ! [X0] : ((creative(X0) | wise(X0)) <=> (~old(X0) & funny(X0))) [input p3]
10. ! [X0] : ((~brave(X0) | ~wise(X0)) <=> creative(X0)) [input p9]
23. ~funny(mary) [input hypothesis]
38. ! [X0] : (((creative(X... | 0 |
Everyone who is not wise or not strong is calm or not humble and vice versa. If someone is strong or wise then someone is generous or quiet and vice versa. Everyone who is either not old or not creative is both not humble and old. Everyone who is either not calm or not kind is rich. Everyone who is strong is both not o... | Susan is not strong. | contradiction | (![X]:((~wise(X)|~strong(X))<=>(calm(X)|~humble(X))))&
((?[X]:((strong(X)|wise(X))))<=>(?[X]:((generous(X)|quiet(X)))))&
(![X]:((~old(X)<~>~creative(X))=>(~humble(X)&old(X))))&
(![X]:((~calm(X)<~>~kind(X))=>rich(X)))&
(![X]:(strong(X)<=>(~old(X)&~quiet(X))))&
(((quiet(fred)&funny(fred)))<=>(?[X]:(~curious(X))))&
(![X]:... | ~strong(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4023479485047802825900701
% SZS output start Proof for 4023479485047802825900701
22. ~happy(susan) & strong(susan) [input p21]
25. ~strong(susan) [input hypothesis]
148. strong(susan) [cnf transformation 22]
153. ~strong(susan) [cnf transformation 25]
290. 32 <=> strong(susan) [avatar def... | 0 |
If someone is either not brave or not strong then someone is both not tall and not wise and vice versa. Everyone who is not quiet is not creative. Everyone who is calm or not tall is not calm or not kind and vice versa. If susan is either creative or not wise then someone is either not happy or generous and vice versa.... | John is brave. | contradiction | ((?[X]:((~brave(X)<~>~strong(X))))<=>(?[X]:((~tall(X)&~wise(X)))))&
(![X]:(~quiet(X)=>~creative(X)))&
(![X]:((calm(X)|~tall(X))<=>(~calm(X)|~kind(X))))&
(((creative(susan)<~>~wise(susan)))<=>(?[X]:((~happy(X)<~>generous(X)))))&
((?[X]:((strong(X)|~rich(X))))=>(?[X]:(tall(X))))&
(((~kind(lucy)&rich(lucy)))=>(?[X]:((kind... | brave(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7229779054028224540914060
% SZS output start Proof for 7229779054028224540914060
9. ! [X0] : ((kind(X0) | ~brave(X0)) <=> ~kind(X0)) [input p8]
24. brave(john) [input hypothesis]
57. ! [X0] : (((kind(X0) | ~brave(X0)) | kind(X0)) & (~kind(X0) | (~kind(X0) & brave(X0)))) [nnf transformatio... | 0 |
If someone is not patient then someone is both not rich and not kind.
Everyone who is not calm or generous is both tall and not patient.
If someone is kind then someone is either happy or kind.
If someone is curious then someone is not kind and vice versa.
Everyone who is not generous or kind is not calm.
If someone is... | Mary is not brave. | entailment | ((?[X]:(~patient(X)))=>(?[X]:((~rich(X)&~kind(X)))))&
(![X]:((~calm(X)|generous(X))=>(tall(X)&~patient(X))))&
((?[X]:(kind(X)))=>(?[X]:((happy(X)<~>kind(X)))))&
((?[X]:(curious(X)))<=>(?[X]:(~kind(X))))&
(![X]:((~generous(X)|kind(X))=>~calm(X)))&
((?[X]:((~patient(X)|brave(X))))<=>((~old(john)<~>~generous(john))))&
(![... | ~brave(mary) | [
"p1",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2110440093913789330836429
% SZS output start Proof for 2110440093913789330836429
2. ! [X0] : ((generous(X0) | ~calm(X0)) => (~patient(X0) & tall(X0))) [input p1]
5. ! [X0] : ((kind(X0) | ~generous(X0)) => ~calm(X0)) [input p4]
9. (brave(mary) | calm(mary)) <=> ? [X0] : patient(X0) [input ... | 0 |
Everyone who is not funny or not tall is either old or curious.
If mary is both not old and strong then someone is not old or not calm and vice versa.
If john is tall then paul is not brave or not humble and vice versa.
If alice is not rich or not curious then lucy is both not happy and not quiet and vice versa.
Everyo... | Mary is strong. | entailment | (![X]:((~funny(X)|~tall(X))=>(old(X)<~>curious(X))))&
(((~old(mary)&strong(mary)))<=>(?[X]:((~old(X)|~calm(X)))))&
((tall(john))<=>((~brave(paul)|~humble(paul))))&
(((~rich(alice)|~curious(alice)))<=>((~happy(lucy)&~quiet(lucy))))&
(![X]:((curious(X)<~>~patient(X))<=>(~humble(X)|~brave(X))))&
(![X]:((brave(X)|~rich(X))... | strong(mary) | [
"p1",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 139823349656692764459159
% SZS output start Proof for 139823349656692764459159
2. (strong(mary) & ~old(mary)) <=> ? [X0] : (~calm(X0) | ~old(X0)) [input p1]
19. ? [X0] : (~calm(X0) & ~kind(X0)) [input p18]
25. ~strong(mary) [input hypothesis]
35. ((strong(mary) & ~old(mary)) | ! [X0] : (c... | 0 |
If fred is both calm and patient then someone is quiet or tall and vice versa.
Everyone who is creative or not strong is both patient and happy and vice versa.
Everyone who is wise or not rich is either not creative or not rich.
If john is both not humble and tall then john is either not funny or creative and vice vers... | Fred is not brave. | entailment | (((calm(fred)&patient(fred)))<=>(?[X]:((quiet(X)|tall(X)))))&
(![X]:((creative(X)|~strong(X))<=>(patient(X)&happy(X))))&
(![X]:((wise(X)|~rich(X))=>(~creative(X)<~>~rich(X))))&
(((~humble(john)&tall(john)))<=>((~funny(john)<~>creative(john))))&
((?[X]:((patient(X)<~>~quiet(X))))<=>(?[X]:((rich(X)<~>~wise(X)))))&
(![X]:... | ~brave(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 557414839619652661861543
% SZS output start Proof for 557414839619652661861543
11. ? [X0] : (~creative(X0) | brave(X0)) <=> ~brave(fred) [input p10]
24. brave(fred) [input hypothesis]
55. (? [X0] : (~creative(X0) | brave(X0)) | brave(fred)) & (~brave(fred) | ! [X0] : (creative(X0) & ~brav... | 0 |
If someone is not wise or curious then lucy is rich.
If someone is strong or not calm then alice is rich or generous and vice versa.
Everyone who is either not rich or happy is not tall or not kind and vice versa.
Everyone who is old or not old is both not kind and not happy.
If paul is both happy and not quiet then ma... | Susan is not creative. | contradiction | ((?[X]:((~wise(X)|curious(X))))=>(rich(lucy)))&
((?[X]:((strong(X)|~calm(X))))<=>((rich(alice)|generous(alice))))&
(![X]:((~rich(X)<~>happy(X))<=>(~tall(X)|~kind(X))))&
(![X]:((old(X)|~old(X))=>(~kind(X)&~happy(X))))&
(((happy(paul)&~quiet(paul)))=>((brave(mary)|wise(mary))))&
(![X]:((creative(X)&generous(X))=>curious(... | ~creative(susan) | [
"p0",
"p2",
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8864907374839085751555236
% SZS output start Proof for 8864907374839085751555236
1. ? [X0] : (curious(X0) | ~wise(X0)) => rich(lucy) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (~kind(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((~old(X0) | old(X0)) => (~happy(X0) & ~kind(X0))) [in... | 0 |
Everyone who is either not generous or not brave is either not brave or old and vice versa.
Everyone who is tall or wise is both rich and curious and vice versa.
Everyone who is quiet or happy is either not happy or creative.
Everyone who is creative or not calm is both not generous and kind.
Everyone who is not happy ... | Alice is not old. | contradiction | (![X]:((~generous(X)<~>~brave(X))<=>(~brave(X)<~>old(X))))&
(![X]:((tall(X)|wise(X))<=>(rich(X)&curious(X))))&
(![X]:((quiet(X)|happy(X))=>(~happy(X)<~>creative(X))))&
(![X]:((creative(X)|~calm(X))=>(~generous(X)&kind(X))))&
(![X]:(~happy(X)=>(funny(X)|~strong(X))))&
((?[X]:((creative(X)&~quiet(X))))<=>(~generous(mary)... | ~old(alice) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p7",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3097238019895854235800845
% SZS output start Proof for 3097238019895854235800845
1. ! [X0] : ((~generous(X0) <~> ~brave(X0)) <=> (~brave(X0) <~> old(X0))) [input p0]
3. ! [X0] : ((happy(X0) | quiet(X0)) => (~happy(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((~calm(X0) | creative(X0)) =... | 0 |
If someone is not kind then mary is kind or old and vice versa. Everyone who is not old is both patient and not tall. Everyone who is not happy is both wise and not funny. Everyone who is brave is wise or patient and vice versa. If someone is either humble or funny then someone is patient or not brave. If susan is brav... | Mary is brave. | entailment | ((?[X]:(~kind(X)))<=>((kind(mary)|old(mary))))&
(![X]:(~old(X)=>(patient(X)&~tall(X))))&
(![X]:(~happy(X)=>(wise(X)&~funny(X))))&
(![X]:(brave(X)<=>(wise(X)|patient(X))))&
((?[X]:((humble(X)<~>funny(X))))=>(?[X]:((patient(X)|~brave(X)))))&
(((brave(susan)|~rich(susan)))=>(?[X]:((~brave(X)|~kind(X)))))&
(![X]:((~strong(... | brave(mary) | [
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2433755267944732037303073
% SZS output start Proof for 2433755267944732037303073
3. ! [X0] : (~happy(X0) => (~funny(X0) & wise(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (patient(X0) | wise(X0))) [input p3]
8. ! [X0] : ((~patient(X0) <~> ~quiet(X0)) <=> (quiet(X0) <~> happy(X0))) [input ... | 0 |
If someone is either strong or not happy then someone is both curious and strong and vice versa.
Everyone who is generous is both rich and humble.
If lucy is rich then someone is both not calm and not kind and vice versa.
If someone is not wise then someone is curious or not brave and vice versa.
Everyone who is not wi... | Paul is not strong. | entailment | ((?[X]:((strong(X)<~>~happy(X))))<=>(?[X]:((curious(X)&strong(X)))))&
(![X]:(generous(X)=>(rich(X)&humble(X))))&
((rich(lucy))<=>(?[X]:((~calm(X)&~kind(X)))))&
((?[X]:(~wise(X)))<=>(?[X]:((curious(X)|~brave(X)))))&
(![X]:(~wise(X)=>(kind(X)&quiet(X))))&
(![X]:((~quiet(X)|~happy(X))<=>(calm(X)|happy(X))))&
(![X]:((~stro... | ~strong(paul) | [
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6202498764819787328614090
% SZS output start Proof for 6202498764819787328614090
4. ? [X0] : ~wise(X0) <=> ? [X0] : (~brave(X0) | curious(X0)) [input p3]
5. ! [X0] : (~wise(X0) => (quiet(X0) & kind(X0))) [input p4]
6. ! [X0] : ((~happy(X0) | ~quiet(X0)) <=> (happy(X0) | calm(X0))) [input ... | 0 |
Everyone who is creative or old is both not patient and quiet and vice versa.
Everyone who is not happy is humble.
Everyone who is either quiet or not creative is not tall or not brave.
If john is not calm or brave then someone is either not brave or generous and vice versa.
If fred is both not strong and tall then som... | Lucy is calm. | contradiction | (![X]:((creative(X)|old(X))<=>(~patient(X)&quiet(X))))&
(![X]:(~happy(X)=>humble(X)))&
(![X]:((quiet(X)<~>~creative(X))=>(~tall(X)|~brave(X))))&
(((~calm(john)|brave(john)))<=>(?[X]:((~brave(X)<~>generous(X)))))&
(((~strong(fred)&tall(fred)))<=>(?[X]:(humble(X))))&
((?[X]:((funny(X)&wise(X))))<=>((~creative(mary)<~>~ha... | calm(lucy) | [
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7671758852839717817807343
% SZS output start Proof for 7671758852839717817807343
14. ? [X0] : calm(X0) <=> ? [X0] : (~patient(X0) & old(X0)) [input p13]
16. ! [X0] : ((curious(X0) <~> ~old(X0)) <=> ~curious(X0)) [input p15]
25. calm(lucy) [input hypothesis]
26. ? [X0] : calm(X0) <=> ? [X1... | 0 |
Everyone who is not kind is generous and vice versa.
If someone is rich then someone is not funny.
Everyone who is both not calm and not generous is not brave or quiet.
If alice is either not wise or strong then paul is both brave and creative.
Everyone who is both calm and patient is both not generous and not patient.... | Mary is not patient. | entailment | (![X]:(~kind(X)<=>generous(X)))&
((?[X]:(rich(X)))=>(?[X]:(~funny(X))))&
(![X]:((~calm(X)&~generous(X))=>(~brave(X)|quiet(X))))&
(((~wise(alice)<~>strong(alice)))=>((brave(paul)&creative(paul))))&
(![X]:((calm(X)&patient(X))=>(~generous(X)&~patient(X))))&
(![X]:((kind(X)|~strong(X))=>(quiet(X)&~happy(X))))&
(((~old(mar... | ~patient(mary) | [
"p0",
"p4",
"p5",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1567930272204362067525973
% SZS output start Proof for 1567930272204362067525973
1. ! [X0] : (~kind(X0) <=> generous(X0)) [input p0]
5. ! [X0] : ((patient(X0) & calm(X0)) => (~patient(X0) & ~generous(X0))) [input p4]
6. ! [X0] : ((~strong(X0) | kind(X0)) => (~happy(X0) & quiet(X0))) [inpu... | 0 |
Everyone who is not creative is both old and not rich.
Everyone who is either funny or not humble is not humble.
Everyone who is rich is both patient and wise.
Everyone who is funny or not funny is either not strong or rich.
If someone is both not patient and not happy then someone is curious or happy and vice versa.
E... | Alice is funny. | contradiction | (![X]:(~creative(X)=>(old(X)&~rich(X))))&
(![X]:((funny(X)<~>~humble(X))=>~humble(X)))&
(![X]:(rich(X)=>(patient(X)&wise(X))))&
(![X]:((funny(X)|~funny(X))=>(~strong(X)<~>rich(X))))&
((?[X]:((~patient(X)&~happy(X))))<=>(?[X]:((curious(X)|happy(X)))))&
(![X]:((tall(X)<~>~creative(X))=>(~kind(X)<~>~old(X))))&
(![X]:((~hu... | funny(alice) | [
"p2",
"p3",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6886085953787690156684572
% SZS output start Proof for 6886085953787690156684572
3. ! [X0] : (rich(X0) => (wise(X0) & patient(X0))) [input p2]
4. ! [X0] : ((~funny(X0) | funny(X0)) => (~strong(X0) <~> rich(X0))) [input p3]
12. ! [X0] : ((~wise(X0) | ~rich(X0)) => ~funny(X0)) [input p11]
1... | 0 |
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