premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either rich or patient is generous and vice versa.
Everyone who is creative or old is both strong and not creative and vice versa.
Everyone who is either tall or generous is humble and vice versa.
Everyone who is either funny or not funny is both not patient and not brave and vice versa.
Everyone who is... | Fred is not rich. | contradiction | (![X]:((rich(X)<~>patient(X))<=>generous(X)))&
(![X]:((creative(X)|old(X))<=>(strong(X)&~creative(X))))&
(![X]:((tall(X)<~>generous(X))<=>humble(X)))&
(![X]:((funny(X)<~>~funny(X))<=>(~patient(X)&~brave(X))))&
(![X]:((~quiet(X)&~strong(X))=>(~wise(X)&strong(X))))&
((?[X]:((~kind(X)&creative(X))))<=>(?[X]:((~rich(X)|hum... | ~rich(fred) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6003518489127851683807806
% SZS output start Proof for 6003518489127851683807806
2. ! [X0] : ((old(X0) | creative(X0)) <=> (~creative(X0) & strong(X0))) [input p1]
6. ? [X0] : (creative(X0) & ~kind(X0)) <=> ? [X0] : (humble(X0) | ~rich(X0)) [input p5]
20. ~rich(fred) [input hypothesis]
21... | 0 |
Everyone who is either not wise or not rich is both quiet and kind and vice versa. Everyone who is patient or tall is either brave or not patient and vice versa. If paul is both curious and not brave then someone is both not quiet and not rich and vice versa. If someone is not old then susan is happy or not creative an... | Fred is generous. | neutral | (![X]:((~wise(X)<~>~rich(X))<=>(quiet(X)&kind(X))))&
(![X]:((patient(X)|tall(X))<=>(brave(X)<~>~patient(X))))&
(((curious(paul)&~brave(paul)))<=>(?[X]:((~quiet(X)&~rich(X)))))&
((?[X]:(~old(X)))<=>((happy(susan)|~creative(susan))))&
(![X]:((rich(X)&~humble(X))<=>(~humble(X)&~brave(X))))&
(![X]:((~rich(X)|kind(X))=>~str... | generous(fred) | [] | null | 0 |
If lucy is wise then fred is either kind or brave and vice versa. Everyone who is either not calm or strong is both wise and not happy and vice versa. Everyone who is creative is both creative and not strong and vice versa. Everyone who is happy or curious is brave. If mary is not curious then john is both not creative... | Fred is strong. | neutral | ((wise(lucy))<=>((kind(fred)<~>brave(fred))))&
(![X]:((~calm(X)<~>strong(X))<=>(wise(X)&~happy(X))))&
(![X]:(creative(X)<=>(creative(X)&~strong(X))))&
(![X]:((happy(X)|curious(X))=>brave(X)))&
((~curious(mary))=>((~creative(john)&~happy(john))))&
((?[X]:((~strong(X)|~quiet(X))))<=>(tall(paul)))&
((?[X]:(rich(X)))=>((~p... | strong(fred) | [] | null | 0 |
Everyone who is generous or kind is either old or curious. Everyone who is not happy is not wise and vice versa. Everyone who is either patient or humble is both not brave and not strong and vice versa. Everyone who is wise or kind is either not kind or not curious and vice versa. If someone is both not quiet and funny... | Susan is funny. | contradiction | (![X]:((generous(X)|kind(X))=>(old(X)<~>curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(stron... | funny(susan) | [
"p0",
"p3",
"p7",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8890195283080630703818639
% SZS output start Proof for 8890195283080630703818639
1. ! [X0] : ((kind(X0) | generous(X0)) => (old(X0) <~> curious(X0))) [input p0]
4. ! [X0] : ((kind(X0) | wise(X0)) <=> (~kind(X0) <~> ~curious(X0))) [input p3]
8. (patient(susan) & ~funny(susan)) <=> ? [X0] :... | 0 |
Everyone who is old or generous is both not patient and not humble and vice versa.
Everyone who is either humble or not calm is old.
Everyone who is either not strong or brave is old.
Everyone who is not strong or not patient is both brave and generous.
Everyone who is either patient or generous is patient or creative ... | Mary is not wise. | contradiction | (![X]:((old(X)|generous(X))<=>(~patient(X)&~humble(X))))&
(![X]:((humble(X)<~>~calm(X))=>old(X)))&
(![X]:((~strong(X)<~>brave(X))=>old(X)))&
(![X]:((~strong(X)|~patient(X))=>(brave(X)&generous(X))))&
(![X]:((patient(X)<~>generous(X))<=>(patient(X)|creative(X))))&
(![X]:((funny(X)|~old(X))<=>~rich(X)))&
(((rich(mary)<~>... | ~wise(mary) | [
"p0",
"p3",
"p5",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2168288922510533616490867
% SZS output start Proof for 2168288922510533616490867
1. ! [X0] : ((generous(X0) | old(X0)) <=> (~humble(X0) & ~patient(X0))) [input p0]
4. ! [X0] : ((~patient(X0) | ~strong(X0)) => (generous(X0) & brave(X0))) [input p3]
6. ! [X0] : ((~old(X0) | funny(X0)) <=> ~... | 0 |
If someone is both humble and not old then paul is both funny and generous and vice versa.
Everyone who is both not quiet and quiet is not creative or generous and vice versa.
If paul is both calm and not quiet then lucy is both not curious and happy.
Everyone who is both not calm and funny is both not patient and not ... | Fred is humble. | contradiction | ((?[X]:((humble(X)&~old(X))))<=>((funny(paul)&generous(paul))))&
(![X]:((~quiet(X)&quiet(X))<=>(~creative(X)|generous(X))))&
(((calm(paul)&~quiet(paul)))=>((~curious(lucy)&happy(lucy))))&
(![X]:((~calm(X)&funny(X))=>(~patient(X)&~generous(X))))&
(![X]:(~calm(X)=>(~funny(X)|~tall(X))))&
((?[X]:((generous(X)|~creative(X)... | humble(fred) | [
"p1",
"p5",
"p7",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1101812344641292687392539
% SZS output start Proof for 1101812344641292687392539
2. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (generous(X0) | ~creative(X0))) [input p1]
6. ? [X0] : (~creative(X0) | generous(X0)) <=> ? [X0] : (~creative(X0) | rich(X0)) [input p5]
8. ! [X0] : ((rich(X0) <~> fu... | 0 |
If alice is humble then susan is not wise or curious and vice versa. Everyone who is either not funny or not rich is generous or not old. If susan is curious or old then susan is creative. Everyone who is both tall and not tall is not kind or creative and vice versa. If someone is kind then someone is both wise and cal... | Susan is not curious. | entailment | ((humble(alice))<=>((~wise(susan)|curious(susan))))&
(![X]:((~funny(X)<~>~rich(X))=>(generous(X)|~old(X))))&
(((curious(susan)|old(susan)))=>(creative(susan)))&
(![X]:((tall(X)&~tall(X))<=>(~kind(X)|creative(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)&calm(X)))))&
(![X]:(~old(X)<=>(~brave(X)|~old(X))))&
(((~kind(alice)&... | ~curious(susan) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7905122336649738850484183
% SZS output start Proof for 7905122336649738850484183
3. (old(susan) | curious(susan)) => creative(susan) [input p2]
4. ! [X0] : ((~tall(X0) & tall(X0)) <=> (creative(X0) | ~kind(X0))) [input p3]
21. curious(susan) [input hypothesis]
29. creative(susan) | (~old(... | 0 |
Everyone who is both humble and not rich is not wise and vice versa. If john is both not kind and calm then fred is both not funny and not kind and vice versa. If alice is both tall and not brave then fred is either not tall or patient. If paul is not humble or not happy then someone is happy or funny. If mary is not w... | Lucy is kind. | entailment | (![X]:((humble(X)&~rich(X))<=>~wise(X)))&
(((~kind(john)&calm(john)))<=>((~funny(fred)&~kind(fred))))&
(((tall(alice)&~brave(alice)))=>((~tall(fred)<~>patient(fred))))&
(((~humble(paul)|~happy(paul)))=>(?[X]:((happy(X)|funny(X)))))&
(((~wise(mary)|~quiet(mary)))<=>((~humble(mary)&~rich(mary))))&
((~patient(paul))<=>((b... | kind(lucy) | [
"p0",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2495645803724877575840323
% SZS output start Proof for 2495645803724877575840323
1. ! [X0] : ((~rich(X0) & humble(X0)) <=> ~wise(X0)) [input p0]
8. ! [X0] : ((happy(X0) <~> humble(X0)) <=> (~kind(X0) <~> ~happy(X0))) [input p7]
20. ~wise(lucy) & ~old(lucy) [input p19]
25. ~kind(lucy) [inp... | 0 |
Everyone who is either tall or wise is happy or not creative.
If lucy is not wise or not old then someone is not strong or funny.
Everyone who is either not happy or brave is not old or quiet and vice versa.
If someone is wise or patient then alice is funny or not old and vice versa.
Everyone who is both not humble and... | John is generous. | neutral | (![X]:((tall(X)<~>wise(X))=>(happy(X)|~creative(X))))&
(((~wise(lucy)|~old(lucy)))=>(?[X]:((~strong(X)|funny(X)))))&
(![X]:((~happy(X)<~>brave(X))<=>(~old(X)|quiet(X))))&
((?[X]:((wise(X)|patient(X))))<=>((funny(alice)|~old(alice))))&
(![X]:((~humble(X)&tall(X))=>(~humble(X)|patient(X))))&
(![X]:((rich(X)<~>~happy(X))<... | generous(john) | [] | null | 0 |
Everyone who is wise is either not kind or quiet. If alice is both kind and wise then someone is not rich or old and vice versa. Everyone who is not generous or tall is not wise or curious. If someone is both not kind and wise then someone is wise or not generous and vice versa. Everyone who is not kind is both not gen... | Paul is not tall. | contradiction | (![X]:(wise(X)=>(~kind(X)<~>quiet(X))))&
(((kind(alice)&wise(alice)))<=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((~generous(X)|tall(X))=>(~wise(X)|curious(X))))&
((?[X]:((~kind(X)&wise(X))))<=>(?[X]:((wise(X)|~generous(X)))))&
(![X]:(~kind(X)=>(~generous(X)&strong(X))))&
(((funny(fred)&~brave(fred)))=>(?[X]:((~happy(X)<~>cr... | ~tall(paul) | [
"p1",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6246702390626860870535559
% SZS output start Proof for 6246702390626860870535559
2. (wise(alice) & kind(alice)) <=> ? [X0] : (old(X0) | ~rich(X0)) [input p1]
9. ! [X0] : ((creative(X0) & kind(X0)) <=> kind(X0)) [input p8]
14. ! [X0] : ((kind(X0) <~> creative(X0)) <=> (old(X0) <~> ~tall(X0... | 0 |
If someone is not brave or not creative then alice is either patient or funny.
Everyone who is generous is either kind or not funny and vice versa.
Everyone who is generous is calm and vice versa.
Everyone who is either tall or not tall is both curious and creative and vice versa.
Everyone who is calm or not funny is n... | John is calm. | contradiction | ((?[X]:((~brave(X)|~creative(X))))=>((patient(alice)<~>funny(alice))))&
(![X]:(generous(X)<=>(kind(X)<~>~funny(X))))&
(![X]:(generous(X)<=>calm(X)))&
(![X]:((tall(X)<~>~tall(X))<=>(curious(X)&creative(X))))&
(![X]:((calm(X)|~funny(X))=>(~funny(X)|~generous(X))))&
((?[X]:((curious(X)<~>~happy(X))))<=>((~funny(fred)<~>br... | calm(john) | [
"p2",
"p4",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 122040229205601065536724
% SZS output start Proof for 122040229205601065536724
3. ! [X0] : (generous(X0) <=> calm(X0)) [input p2]
5. ! [X0] : ((~funny(X0) | calm(X0)) => (~generous(X0) | ~funny(X0))) [input p4]
20. funny(john) & ~old(john) [input p19]
24. calm(john) [input hypothesis]
28.... | 0 |
Everyone who is happy is not creative or patient and vice versa. Everyone who is wise or kind is both old and not brave. Everyone who is not calm is either kind or happy and vice versa. Everyone who is both strong and not tall is strong or not strong and vice versa. Everyone who is not kind or not humble is not happy a... | Susan is happy. | contradiction | (![X]:(happy(X)<=>(~creative(X)|patient(X))))&
(![X]:((wise(X)|kind(X))=>(old(X)&~brave(X))))&
(![X]:(~calm(X)<=>(kind(X)<~>happy(X))))&
(![X]:((strong(X)&~tall(X))<=>(strong(X)|~strong(X))))&
(![X]:((~kind(X)|~humble(X))<=>~happy(X)))&
((?[X]:(rich(X)))<=>(old(paul)))&
(![X]:((creative(X)&wise(X))<=>(old(X)&~old(X))))... | happy(susan) | [
"p2",
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7876685225467332230458441
% SZS output start Proof for 7876685225467332230458441
3. ! [X0] : (~calm(X0) <=> (kind(X0) <~> happy(X0))) [input p2]
5. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> ~happy(X0)) [input p4]
23. ~generous(susan) & ~calm(susan) [input p22]
24. happy(susan) [input hypoth... | 0 |
Everyone who is both strong and not old is strong or quiet. If someone is either strong or not wise then mary is creative. Everyone who is both funny and strong is curious or not rich and vice versa. If alice is wise then someone is rich or not quiet. Everyone who is either kind or not old is either curious or not wise... | Lucy is not funny. | contradiction | (![X]:((strong(X)&~old(X))=>(strong(X)|quiet(X))))&
((?[X]:((strong(X)<~>~wise(X))))=>(creative(mary)))&
(![X]:((funny(X)&strong(X))<=>(curious(X)|~rich(X))))&
((wise(alice))=>(?[X]:((rich(X)|~quiet(X)))))&
(![X]:((kind(X)<~>~old(X))<=>(curious(X)<~>~wise(X))))&
(![X]:((~calm(X)|wise(X))<=>(quiet(X)<~>calm(X))))&
(![X]... | ~funny(lucy) | [
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2823227073056844287736987
% SZS output start Proof for 2823227073056844287736987
3. ! [X0] : ((strong(X0) & funny(X0)) <=> (~rich(X0) | curious(X0))) [input p2]
12. ! [X0] : ((~generous(X0) <~> generous(X0)) <=> (~brave(X0) & ~tall(X0))) [input p11]
13. ! [X0] : (tall(X0) <=> (quiet(X0) |... | 0 |
Everyone who is not creative or not calm is not patient. Everyone who is humble or quiet is both tall and calm. Everyone who is both not old and happy is both funny and humble. If lucy is not strong or not curious then fred is either not wise or not generous. If susan is either generous or not tall then someone is not ... | Lucy is generous. | entailment | (![X]:((~creative(X)|~calm(X))=>~patient(X)))&
(![X]:((humble(X)|quiet(X))=>(tall(X)&calm(X))))&
(![X]:((~old(X)&happy(X))=>(funny(X)&humble(X))))&
(((~strong(lucy)|~curious(lucy)))=>((~wise(fred)<~>~generous(fred))))&
(((generous(susan)<~>~tall(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
(![X]:(old(X)<=>(~generous(X)<~>... | generous(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1942667093873564306322283
% SZS output start Proof for 1942667093873564306322283
15. ! [X0] : ((strong(X0) <~> generous(X0)) <=> ~strong(X0)) [input p14]
23. ~generous(lucy) [input hypothesis]
58. ! [X0] : ((((~generous(X0) | ~strong(X0)) & (generous(X0) | strong(X0))) | strong(X0)) & (~s... | 0 |
If someone is patient or quiet then someone is quiet and vice versa.
Everyone who is not wise or not rich is both not generous and brave and vice versa.
Everyone who is both not patient and funny is patient or not generous and vice versa.
Everyone who is not happy is not creative or not patient and vice versa.
If someo... | Fred is quiet. | entailment | ((?[X]:((patient(X)|quiet(X))))<=>(?[X]:(quiet(X))))&
(![X]:((~wise(X)|~rich(X))<=>(~generous(X)&brave(X))))&
(![X]:((~patient(X)&funny(X))<=>(patient(X)|~generous(X))))&
(![X]:(~happy(X)<=>(~creative(X)|~patient(X))))&
((?[X]:((kind(X)&~kind(X))))=>((~creative(susan)&~generous(susan))))&
(![X]:((curious(X)|kind(X))=>(... | quiet(fred) | [
"p5",
"p6",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6177143481157843265769404
% SZS output start Proof for 6177143481157843265769404
6. ! [X0] : ((kind(X0) | curious(X0)) => (quiet(X0) | ~kind(X0))) [input p5]
7. ! [X0] : ((humble(X0) & ~tall(X0)) => (~curious(X0) & generous(X0))) [input p6]
8. ! [X0] : ((curious(X0) & ~humble(X0)) => (old... | 0 |
If lucy is both not calm and not humble then alice is not kind and vice versa.
Everyone who is either brave or not old is quiet and vice versa.
If john is both happy and rich then someone is not humble or funny and vice versa.
If paul is not funny or creative then alice is both not curious and not strong and vice versa... | Alice is wise. | entailment | (((~calm(lucy)&~humble(lucy)))<=>(~kind(alice)))&
(![X]:((brave(X)<~>~old(X))<=>quiet(X)))&
(((happy(john)&rich(john)))<=>(?[X]:((~humble(X)|funny(X)))))&
(((~funny(paul)|creative(paul)))<=>((~curious(alice)&~strong(alice))))&
(![X]:((patient(X)&~tall(X))<=>(rich(X)|~patient(X))))&
(![X]:((quiet(X)|wise(X))=>(~quiet(X)... | wise(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6238978569355125828881767
% SZS output start Proof for 6238978569355125828881767
2. ! [X0] : ((brave(X0) <~> ~old(X0)) <=> quiet(X0)) [input p1]
3. (rich(john) & happy(john)) <=> ? [X0] : (funny(X0) | ~humble(X0)) [input p2]
5. ! [X0] : ((~tall(X0) & patient(X0)) <=> (~patient(X0) | rich(... | 0 |
If someone is not calm then someone is generous. Everyone who is not quiet is not strong. Everyone who is not strong or not brave is calm. Everyone who is creative is both not patient and not curious. If someone is creative then alice is quiet and vice versa. If someone is funny or not creative then someone is rich. Ev... | Alice is generous. | neutral | ((?[X]:(~calm(X)))=>(?[X]:(generous(X))))&
(![X]:(~quiet(X)=>~strong(X)))&
(![X]:((~strong(X)|~brave(X))=>calm(X)))&
(![X]:(creative(X)=>(~patient(X)&~curious(X))))&
((?[X]:(creative(X)))<=>(quiet(alice)))&
((?[X]:((funny(X)|~creative(X))))=>(?[X]:(rich(X))))&
(![X]:((~calm(X)|~kind(X))=>(rich(X)|~quiet(X))))&
((?[X]:(... | generous(alice) | [] | null | 0 |
If someone is curious or strong then fred is brave.
If someone is not humble or happy then someone is not brave or creative and vice versa.
Everyone who is generous or not tall is either kind or not strong.
If someone is not old then lucy is either not curious or not generous and vice versa.
Everyone who is either tall... | Fred is strong. | entailment | ((?[X]:((curious(X)|strong(X))))=>(brave(fred)))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((~brave(X)|creative(X)))))&
(![X]:((generous(X)|~tall(X))=>(kind(X)<~>~strong(X))))&
((?[X]:(~old(X)))<=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))... | strong(fred) | [
"p0",
"p2",
"p4",
"p6",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3725216695902392789414698
% SZS output start Proof for 3725216695902392789414698
1. ? [X0] : (strong(X0) | curious(X0)) => brave(fred) [input p0]
3. ! [X0] : ((~tall(X0) | generous(X0)) => (kind(X0) <~> ~strong(X0))) [input p2]
5. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~kind(... | 0 |
If someone is both not kind and generous then someone is either old or not kind and vice versa. Everyone who is old or wise is not generous and vice versa. If paul is not tall then mary is either not creative or wise. If someone is tall or calm then someone is not patient or tall. If fred is both patient and curious th... | Fred is generous. | contradiction | ((?[X]:((~kind(X)&generous(X))))<=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:((old(X)|wise(X))<=>~generous(X)))&
((~tall(paul))=>((~creative(mary)<~>wise(mary))))&
((?[X]:((tall(X)|calm(X))))=>(?[X]:((~patient(X)|tall(X)))))&
(((patient(fred)&curious(fred)))<=>(?[X]:((generous(X)&~curious(X)))))&
((?[X]:((~wise(X)<~>generou... | generous(fred) | [
"p1",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 10296125773359125234801
% SZS output start Proof for 10296125773359125234801
2. ! [X0] : ((wise(X0) | old(X0)) <=> ~generous(X0)) [input p1]
7. ! [X0] : (~wise(X0) <=> (~quiet(X0) & quiet(X0))) [input p6]
24. generous(fred) [input hypothesis]
44. ! [X0] : (((wise(X0) | old(X0)) | generous... | 0 |
If alice is either not happy or rich then someone is either not happy or creative.
If paul is not strong or not generous then mary is both wise and calm.
Everyone who is brave is both not brave and not creative and vice versa.
If mary is both not quiet and wise then someone is both not curious and not rich and vice ver... | Fred is not old. | contradiction | (((~happy(alice)<~>rich(alice)))=>(?[X]:((~happy(X)<~>creative(X)))))&
(((~strong(paul)|~generous(paul)))=>((wise(mary)&calm(mary))))&
(![X]:(brave(X)<=>(~brave(X)&~creative(X))))&
(((~quiet(mary)&wise(mary)))<=>(?[X]:((~curious(X)&~rich(X)))))&
(![X]:((~old(X)&wise(X))<=>(tall(X)&creative(X))))&
(((~calm(fred)|~funny(... | ~old(fred) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 686602384864582994917657
% SZS output start Proof for 686602384864582994917657
3. ! [X0] : (brave(X0) <=> (~creative(X0) & ~brave(X0))) [input p2]
14. ! [X0] : (~old(X0) => (curious(X0) & brave(X0))) [input p13]
24. ~old(fred) [input hypothesis]
35. ! [X0] : ((curious(X0) & brave(X0)) | o... | 0 |
Everyone who is calm or kind is either old or not generous.
Everyone who is either kind or not happy is both not happy and humble and vice versa.
Everyone who is both not happy and not wise is not old and vice versa.
Everyone who is old or not strong is either patient or not creative.
If mary is humble then lucy is not... | John is patient. | contradiction | (![X]:((calm(X)|kind(X))=>(old(X)<~>~generous(X))))&
(![X]:((kind(X)<~>~happy(X))<=>(~happy(X)&humble(X))))&
(![X]:((~happy(X)&~wise(X))<=>~old(X)))&
(![X]:((old(X)|~strong(X))=>(patient(X)<~>~creative(X))))&
((humble(mary))<=>(~curious(lucy)))&
(![X]:(~calm(X)<=>~wise(X)))&
((?[X]:((strong(X)&creative(X))))<=>((old(jo... | patient(john) | [
"p1",
"p2",
"p3",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7488860038043503079292017
% SZS output start Proof for 7488860038043503079292017
2. ! [X0] : ((kind(X0) <~> ~happy(X0)) <=> (humble(X0) & ~happy(X0))) [input p1]
3. ! [X0] : ((~wise(X0) & ~happy(X0)) <=> ~old(X0)) [input p2]
4. ! [X0] : ((~strong(X0) | old(X0)) => (patient(X0) <~> ~creati... | 0 |
If susan is either kind or patient then someone is both calm and not creative and vice versa.
Everyone who is either happy or kind is either not funny or rich and vice versa.
If someone is brave or not calm then paul is both not patient and not strong and vice versa.
If someone is patient or quiet then someone is eithe... | Susan is quiet. | neutral | (((kind(susan)<~>patient(susan)))<=>(?[X]:((calm(X)&~creative(X)))))&
(![X]:((happy(X)<~>kind(X))<=>(~funny(X)<~>rich(X))))&
((?[X]:((brave(X)|~calm(X))))<=>((~patient(paul)&~strong(paul))))&
((?[X]:((patient(X)|quiet(X))))=>(?[X]:((patient(X)<~>humble(X)))))&
(![X]:((~generous(X)&patient(X))<=>(creative(X)&kind(X))))&... | quiet(susan) | [] | null | 0 |
If paul is both funny and not generous then susan is either wise or creative. Everyone who is kind is both not calm and tall and vice versa. Everyone who is not brave or creative is not happy. Everyone who is both brave and rich is quiet or not old and vice versa. Everyone who is both not quiet and funny is quiet or hu... | Alice is quiet. | neutral | (((funny(paul)&~generous(paul)))=>((wise(susan)<~>creative(susan))))&
(![X]:(kind(X)<=>(~calm(X)&tall(X))))&
(![X]:((~brave(X)|creative(X))=>~happy(X)))&
(![X]:((brave(X)&rich(X))<=>(quiet(X)|~old(X))))&
(![X]:((~quiet(X)&funny(X))=>(quiet(X)|humble(X))))&
(![X]:((~quiet(X)|calm(X))<=>(creative(X)|~patient(X))))&
((~ge... | quiet(alice) | [] | null | 0 |
If someone is either humble or not patient then someone is old or not kind. Everyone who is both curious and not rich is not curious and vice versa. Everyone who is not wise is humble and vice versa. Everyone who is either not creative or creative is tall. If someone is not creative or quiet then someone is both genero... | Fred is not happy. | entailment | ((?[X]:((humble(X)<~>~patient(X))))=>(?[X]:((old(X)|~kind(X)))))&
(![X]:((curious(X)&~rich(X))<=>~curious(X)))&
(![X]:(~wise(X)<=>humble(X)))&
(![X]:((~creative(X)<~>creative(X))=>tall(X)))&
((?[X]:((~creative(X)|quiet(X))))<=>(?[X]:((generous(X)&~strong(X)))))&
((?[X]:((~humble(X)&brave(X))))=>(?[X]:((~wise(X)<~>rich(... | ~happy(fred) | [
"p1",
"p3",
"p11",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 318074782671028256181825
% SZS output start Proof for 318074782671028256181825
2. ! [X0] : ((~rich(X0) & curious(X0)) <=> ~curious(X0)) [input p1]
4. ! [X0] : ((~creative(X0) <~> creative(X0)) => tall(X0)) [input p3]
12. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> (curious(X0) & ~happy(X0)))... | 0 |
Everyone who is either not calm or not brave is either kind or old. Everyone who is either not rich or not humble is not strong or not calm and vice versa. If fred is strong then lucy is both humble and not rich and vice versa. Everyone who is both old and not old is not humble. If someone is kind then someone is both ... | Mary is curious. | contradiction | (![X]:((~calm(X)<~>~brave(X))=>(kind(X)<~>old(X))))&
(![X]:((~rich(X)<~>~humble(X))<=>(~strong(X)|~calm(X))))&
((strong(fred))<=>((humble(lucy)&~rich(lucy))))&
(![X]:((old(X)&~old(X))=>~humble(X)))&
((?[X]:(kind(X)))<=>(?[X]:((~funny(X)&humble(X)))))&
((?[X]:((~quiet(X)|creative(X))))<=>(?[X]:((~quiet(X)|~creative(X)))... | curious(mary) | [
"p6",
"p8",
"p9",
"p17",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 390189034640590351698069
% SZS output start Proof for 390189034640590351698069
7. ~strong(john) <=> ? [X0] : (~strong(X0) <~> old(X0)) [input p6]
9. (~funny(fred) & ~humble(fred)) <=> ? [X0] : ~wise(X0) [input p8]
10. ! [X0] : ((~curious(X0) & funny(X0)) <=> (~strong(X0) | happy(X0))) [in... | 0 |
Everyone who is both not brave and not strong is not creative.
Everyone who is generous or wise is both creative and calm.
If someone is kind or not strong then john is either kind or not old and vice versa.
If someone is both funny and not funny then someone is patient and vice versa.
Everyone who is generous or quiet... | Mary is not calm. | neutral | (![X]:((~brave(X)&~strong(X))=>~creative(X)))&
(![X]:((generous(X)|wise(X))=>(creative(X)&calm(X))))&
((?[X]:((kind(X)|~strong(X))))<=>((kind(john)<~>~old(john))))&
((?[X]:((funny(X)&~funny(X))))<=>(?[X]:(patient(X))))&
(![X]:((generous(X)|quiet(X))=>(tall(X)|~happy(X))))&
(![X]:(~calm(X)<=>(rich(X)<~>~quiet(X))))&
(![... | ~calm(mary) | [] | null | 0 |
If alice is either not kind or not humble then someone is patient. Everyone who is rich or old is old or brave. Everyone who is either not strong or humble is old and vice versa. If mary is either kind or not quiet then susan is either rich or curious. Everyone who is either not calm or rich is quiet. If someone is eit... | Fred is not funny. | entailment | (((~kind(alice)<~>~humble(alice)))=>(?[X]:(patient(X))))&
(![X]:((rich(X)|old(X))=>(old(X)|brave(X))))&
(![X]:((~strong(X)<~>humble(X))<=>old(X)))&
(((kind(mary)<~>~quiet(mary)))=>((rich(susan)<~>curious(susan))))&
(![X]:((~calm(X)<~>rich(X))=>quiet(X)))&
((?[X]:((~brave(X)<~>tall(X))))=>(?[X]:(~wise(X))))&
(![X]:((~fu... | ~funny(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6441845317498090202475299
% SZS output start Proof for 6441845317498090202475299
8. ! [X0] : ((quiet(X0) & ~quiet(X0)) <=> (humble(X0) | funny(X0))) [input p7]
25. funny(fred) [input hypothesis]
47. ! [X0] : (((quiet(X0) & ~quiet(X0)) | (~humble(X0) & ~funny(X0))) & ((humble(X0) | funny(X... | 0 |
Everyone who is wise is not old.
Everyone who is both not patient and funny is not patient or not quiet and vice versa.
Everyone who is either not funny or not humble is not old and vice versa.
Everyone who is either generous or not strong is curious or wise.
Everyone who is not tall or not kind is either funny or stro... | Alice is not calm. | entailment | (![X]:(wise(X)=>~old(X)))&
(![X]:((~patient(X)&funny(X))<=>(~patient(X)|~quiet(X))))&
(![X]:((~funny(X)<~>~humble(X))<=>~old(X)))&
(![X]:((generous(X)<~>~strong(X))=>(curious(X)|wise(X))))&
(![X]:((~tall(X)|~kind(X))=>(funny(X)<~>strong(X))))&
((?[X]:(old(X)))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:((~humble(X)|~funn... | ~calm(alice) | [
"p2",
"p6",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3491162253275668039984477
% SZS output start Proof for 3491162253275668039984477
3. ! [X0] : ((~funny(X0) <~> ~humble(X0)) <=> ~old(X0)) [input p2]
7. ! [X0] : ((~funny(X0) | ~humble(X0)) <=> (creative(X0) | humble(X0))) [input p6]
21. old(alice) [input p20]
23. humble(alice) <~> ~calm(al... | 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 not humble or rich.
Everyone who is not creative is not rich and vice versa.
Everyone who is both old and wise is not patient and vice versa.
If someone is either not wise or quiet then someone is either... | Alice is patient. | contradiction | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|rich(X))))&
(![X]:(~creative(X)<=>~rich(X)))&
(![X]:((old(X)&wise(X))<=>~patient(X)))&
((?[X]:((~wise(X)<~>quiet(X))))<=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:(~patient(X)<=>(rich(X)<~>~old(X))))&
(![X]:((~rich(X)|... | patient(alice) | [
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 187627370012011084392752
% SZS output start Proof for 187627370012011084392752
4. ! [X0] : ((wise(X0) & old(X0)) <=> ~patient(X0)) [input p3]
6. ! [X0] : (~patient(X0) <=> (rich(X0) <~> ~old(X0))) [input p5]
7. ! [X0] : ((~old(X0) | ~rich(X0)) => (~patient(X0) & funny(X0))) [input p6]
21.... | 0 |
Everyone who is not humble or not tall is both generous and strong and vice versa. Everyone who is either not calm or not generous is either not kind or brave. Everyone who is either happy or not rich is both not brave and not strong. Everyone who is both not rich and not quiet is curious and vice versa. Everyone who i... | John is curious. | contradiction | (![X]:((~humble(X)|~tall(X))<=>(generous(X)&strong(X))))&
(![X]:((~calm(X)<~>~generous(X))=>(~kind(X)<~>brave(X))))&
(![X]:((happy(X)<~>~rich(X))=>(~brave(X)&~strong(X))))&
(![X]:((~rich(X)&~quiet(X))<=>curious(X)))&
(![X]:((happy(X)<~>humble(X))=>brave(X)))&
(((~rich(fred)&tall(fred)))<=>(?[X]:((quiet(X)|~patient(X)))... | curious(john) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5219373281473839845986066
% SZS output start Proof for 5219373281473839845986066
1. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (strong(X0) & generous(X0))) [input p0]
3. ! [X0] : ((happy(X0) <~> ~rich(X0)) => (~strong(X0) & ~brave(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) & ~rich(X0)) <=> cu... | 0 |
If someone is either happy or not calm then susan is not happy.
If mary is either humble or not old then someone is either not old or quiet.
If susan is both brave and not funny then paul is not patient or strong.
Everyone who is not old is both kind and generous.
Everyone who is not curious is either not funny or not ... | Susan is humble. | contradiction | ((?[X]:((happy(X)<~>~calm(X))))=>(~happy(susan)))&
(((humble(mary)<~>~old(mary)))=>(?[X]:((~old(X)<~>quiet(X)))))&
(((brave(susan)&~funny(susan)))=>((~patient(paul)|strong(paul))))&
(![X]:(~old(X)=>(kind(X)&generous(X))))&
(![X]:(~curious(X)=>(~funny(X)<~>~strong(X))))&
(![X]:((kind(X)|~old(X))<=>(creative(X)|~generous... | humble(susan) | [
"p0",
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3359616346055776328187810
% SZS output start Proof for 3359616346055776328187810
1. ? [X0] : (happy(X0) <~> ~calm(X0)) => ~happy(susan) [input p0]
9. (~tall(susan) & calm(susan)) <=> ? [X0] : ~old(X0) [input p8]
11. ! [X0] : ((happy(X0) & curious(X0)) <=> (rich(X0) | ~old(X0))) [input p10... | 0 |
If lucy is not tall then lucy is either not humble or calm and vice versa.
Everyone who is patient is not creative or not patient and vice versa.
Everyone who is either not happy or kind is kind and vice versa.
If someone is either happy or not old then someone is either not old or not brave and vice versa.
Everyone wh... | Susan is not happy. | contradiction | ((~tall(lucy))<=>((~humble(lucy)<~>calm(lucy))))&
(![X]:(patient(X)<=>(~creative(X)|~patient(X))))&
(![X]:((~happy(X)<~>kind(X))<=>kind(X)))&
((?[X]:((happy(X)<~>~old(X))))<=>(?[X]:((~old(X)<~>~brave(X)))))&
(![X]:((~rich(X)&tall(X))=>(kind(X)&~quiet(X))))&
(![X]:((wise(X)&~happy(X))=>(curious(X)<~>creative(X))))&
(![X... | ~happy(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1081821543133549165944577
% SZS output start Proof for 1081821543133549165944577
3. ! [X0] : ((~happy(X0) <~> kind(X0)) <=> kind(X0)) [input p2]
22. ~happy(susan) [input hypothesis]
37. ! [X0] : ((((~kind(X0) | happy(X0)) & (kind(X0) | ~happy(X0))) | ~kind(X0)) & (kind(X0) | ((~happy(X0) ... | 0 |
If alice is either not calm or not humble then lucy is either not happy or curious and vice versa.
Everyone who is either patient or quiet is not rich or quiet.
If alice is either kind or not brave then someone is generous.
Everyone who is creative or patient is humble and vice versa.
If someone is not wise or curious ... | Lucy is not creative. | neutral | (((~calm(alice)<~>~humble(alice)))<=>((~happy(lucy)<~>curious(lucy))))&
(![X]:((patient(X)<~>quiet(X))=>(~rich(X)|quiet(X))))&
(((kind(alice)<~>~brave(alice)))=>(?[X]:(generous(X))))&
(![X]:((creative(X)|patient(X))<=>humble(X)))&
((?[X]:((~wise(X)|curious(X))))<=>((~patient(fred)|~creative(fred))))&
((?[X]:((kind(X)|~... | ~creative(lucy) | [] | null | 0 |
Everyone who is either not happy or tall is tall and vice versa.
Everyone who is either not quiet or not patient is both not tall and rich.
If someone is both not brave and kind then susan is brave.
If someone is either not calm or quiet then someone is wise or not tall and vice versa.
If mary is either tall or kind th... | Mary is not funny. | entailment | (![X]:((~happy(X)<~>tall(X))<=>tall(X)))&
(![X]:((~quiet(X)<~>~patient(X))=>(~tall(X)&rich(X))))&
((?[X]:((~brave(X)&kind(X))))=>(brave(susan)))&
((?[X]:((~calm(X)<~>quiet(X))))<=>(?[X]:((wise(X)|~tall(X)))))&
(((tall(mary)<~>kind(mary)))<=>(patient(mary)))&
(![X]:(~patient(X)=>(~kind(X)|~tall(X))))&
((?[X]:((quiet(X)&... | ~funny(mary) | [
"p0",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 765889246482931349450128
% SZS output start Proof for 765889246482931349450128
1. ! [X0] : ((~happy(X0) <~> tall(X0)) <=> tall(X0)) [input p0]
13. ! [X0] : ((tall(X0) | happy(X0)) <=> (~quiet(X0) & ~funny(X0))) [input p12]
23. funny(mary) [input hypothesis]
41. ! [X0] : ((((~tall(X0) | ha... | 0 |
Everyone who is not tall is either not patient or brave and vice versa.
Everyone who is either old or not rich is creative or not wise.
If someone is either not kind or curious then susan is wise and vice versa.
If someone is kind then fred is either not old or rich.
Everyone who is generous or not patient is both funn... | Susan is calm. | entailment | (![X]:(~tall(X)<=>(~patient(X)<~>brave(X))))&
(![X]:((old(X)<~>~rich(X))=>(creative(X)|~wise(X))))&
((?[X]:((~kind(X)<~>curious(X))))<=>(wise(susan)))&
((?[X]:(kind(X)))=>((~old(fred)<~>rich(fred))))&
(![X]:((generous(X)|~patient(X))=>(funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~generous(X))<=>(calm(X)<~>generous(X))))&... | calm(susan) | [
"p0",
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2605595810716828657408519
% SZS output start Proof for 2605595810716828657408519
1. ! [X0] : (~tall(X0) <=> (~patient(X0) <~> brave(X0))) [input p0]
2. ! [X0] : ((old(X0) <~> ~rich(X0)) => (~wise(X0) | creative(X0))) [input p1]
4. ? [X0] : kind(X0) => (~old(fred) <~> rich(fred)) [input p3... | 0 |
Everyone who is happy or not quiet is both not happy and happy and vice versa. Everyone who is either kind or generous is either not wise or funny. Everyone who is either not funny or rich is humble or quiet. If alice is not creative then someone is funny and vice versa. Everyone who is humble or not wise is not quiet ... | Paul is not old. | neutral | (![X]:((happy(X)|~quiet(X))<=>(~happy(X)&happy(X))))&
(![X]:((kind(X)<~>generous(X))=>(~wise(X)<~>funny(X))))&
(![X]:((~funny(X)<~>rich(X))=>(humble(X)|quiet(X))))&
((~creative(alice))<=>(?[X]:(funny(X))))&
(![X]:((humble(X)|~wise(X))<=>~quiet(X)))&
((~brave(lucy))<=>(~kind(lucy)))&
(![X]:(quiet(X)=>~generous(X)))&
((~... | ~old(paul) | [] | null | 0 |
Everyone who is either quiet or tall is kind or strong.
Everyone who is not calm is either not humble or not wise and vice versa.
If susan is not rich then lucy is both wise and generous.
Everyone who is not humble is not quiet and vice versa.
Everyone who is either not strong or wise is either not humble or not calm.
... | Alice is happy. | entailment | (![X]:((quiet(X)<~>tall(X))=>(kind(X)|strong(X))))&
(![X]:(~calm(X)<=>(~humble(X)<~>~wise(X))))&
((~rich(susan))=>((wise(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>~quiet(X)))&
(![X]:((~strong(X)<~>wise(X))=>(~humble(X)<~>~calm(X))))&
(![X]:(quiet(X)<=>(~kind(X)|humble(X))))&
(![X]:((quiet(X)|~rich(X))=>(old(X)|~humb... | happy(alice) | [
"p3",
"p5",
"p6",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3876348389916040687104688
% SZS output start Proof for 3876348389916040687104688
4. ! [X0] : (~humble(X0) <=> ~quiet(X0)) [input p3]
6. ! [X0] : (quiet(X0) <=> (humble(X0) | ~kind(X0))) [input p5]
7. ! [X0] : ((~rich(X0) | quiet(X0)) => (~humble(X0) | old(X0))) [input p6]
8. ! [X0] : ((ki... | 0 |
Everyone who is either not creative or curious is creative or curious and vice versa.
Everyone who is strong or not kind is not curious or not kind and vice versa.
If mary is either creative or rich then someone is happy and vice versa.
If someone is both rich and not tall then susan is tall.
Everyone who is either not... | John is not funny. | neutral | (![X]:((~creative(X)<~>curious(X))<=>(creative(X)|curious(X))))&
(![X]:((strong(X)|~kind(X))<=>(~curious(X)|~kind(X))))&
(((creative(mary)<~>rich(mary)))<=>(?[X]:(happy(X))))&
((?[X]:((rich(X)&~tall(X))))=>(tall(susan)))&
(![X]:((~rich(X)<~>old(X))=>(rich(X)&old(X))))&
(![X]:((~strong(X)|~humble(X))<=>tall(X)))&
(![X]:... | ~funny(john) | [] | null | 0 |
Everyone who is generous is either happy or not strong.
Everyone who is both patient and kind is both humble and patient and vice versa.
Everyone who is either not brave or not rich is both not funny and humble.
If someone is strong then someone is either happy or quiet and vice versa.
Everyone who is not curious is bo... | Paul is funny. | neutral | (![X]:(generous(X)=>(happy(X)<~>~strong(X))))&
(![X]:((patient(X)&kind(X))<=>(humble(X)&patient(X))))&
(![X]:((~brave(X)<~>~rich(X))=>(~funny(X)&humble(X))))&
((?[X]:(strong(X)))<=>(?[X]:((happy(X)<~>quiet(X)))))&
(![X]:(~curious(X)=>(brave(X)&funny(X))))&
(![X]:((curious(X)<~>~kind(X))=>(generous(X)<~>~old(X))))&
(![X... | funny(paul) | [] | null | 0 |
If alice is creative or strong then alice is not generous or kind and vice versa.
Everyone who is both not creative and curious is kind and vice versa.
Everyone who is not happy or wise is both old and not patient and vice versa.
If john is not calm then someone is both not wise and not tall.
If susan is either not hap... | John is not strong. | entailment | (((creative(alice)|strong(alice)))<=>((~generous(alice)|kind(alice))))&
(![X]:((~creative(X)&curious(X))<=>kind(X)))&
(![X]:((~happy(X)|wise(X))<=>(old(X)&~patient(X))))&
((~calm(john))=>(?[X]:((~wise(X)&~tall(X)))))&
(((~happy(susan)<~>~patient(susan)))<=>(~humble(susan)))&
(![X]:((tall(X)|rich(X))<=>(rich(X)&~strong(... | ~strong(john) | [
"p1",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1451009870947829340811016
% SZS output start Proof for 1451009870947829340811016
2. ! [X0] : ((curious(X0) & ~creative(X0)) <=> kind(X0)) [input p1]
7. ! [X0] : (~strong(X0) <=> (~brave(X0) | ~curious(X0))) [input p6]
11. ! [X0] : ((~kind(X0) & ~brave(X0)) <=> (creative(X0) <~> kind(X0)))... | 0 |
Everyone who is both creative and not wise is quiet or not rich.
Everyone who is either not strong or not old is either funny or calm.
If mary is either not tall or calm then alice is humble or patient.
Everyone who is funny or kind is either funny or not kind and vice versa.
Everyone who is not tall is not generous or... | Lucy is generous. | neutral | (![X]:((creative(X)&~wise(X))=>(quiet(X)|~rich(X))))&
(![X]:((~strong(X)<~>~old(X))=>(funny(X)<~>calm(X))))&
(((~tall(mary)<~>calm(mary)))=>((humble(alice)|patient(alice))))&
(![X]:((funny(X)|kind(X))<=>(funny(X)<~>~kind(X))))&
(![X]:(~tall(X)=>(~generous(X)|funny(X))))&
((?[X]:((calm(X)&generous(X))))=>((calm(mary)&~w... | generous(lucy) | [] | null | 0 |
Everyone who is both happy and patient is not calm or tall.
Everyone who is brave is either humble or not wise and vice versa.
Everyone who is rich or not kind is not brave or not wise.
If someone is either quiet or not patient then john is not strong and vice versa.
Everyone who is curious is either not happy or wise ... | Paul is kind. | contradiction | (![X]:((happy(X)&patient(X))=>(~calm(X)|tall(X))))&
(![X]:(brave(X)<=>(humble(X)<~>~wise(X))))&
(![X]:((rich(X)|~kind(X))=>(~brave(X)|~wise(X))))&
((?[X]:((quiet(X)<~>~patient(X))))<=>(~strong(john)))&
(![X]:(curious(X)<=>(~happy(X)<~>wise(X))))&
(((wise(fred)&happy(fred)))=>((~old(john)|~brave(john))))&
(![X]:(~brave(... | kind(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6877408408439773840452529
% SZS output start Proof for 6877408408439773840452529
11. ! [X0] : ((kind(X0) | rich(X0)) <=> (~kind(X0) & old(X0))) [input p10]
25. kind(paul) [input hypothesis]
51. ! [X0] : (((kind(X0) | rich(X0)) | (kind(X0) | ~old(X0))) & ((~kind(X0) & old(X0)) | (~kind(X0)... | 0 |
If susan is strong or not brave then alice is either not brave or not kind. If someone is either not strong or creative then lucy is humble or not tall and vice versa. Everyone who is both strong and not old is either strong or calm. If someone is either not quiet or not strong then someone is creative or generous. Eve... | Alice is not humble. | neutral | (((strong(susan)|~brave(susan)))=>((~brave(alice)<~>~kind(alice))))&
((?[X]:((~strong(X)<~>creative(X))))<=>((humble(lucy)|~tall(lucy))))&
(![X]:((strong(X)&~old(X))=>(strong(X)<~>calm(X))))&
((?[X]:((~quiet(X)<~>~strong(X))))=>(?[X]:((creative(X)|generous(X)))))&
(![X]:((~brave(X)<~>happy(X))=>(curious(X)|~old(X))))&
... | ~humble(alice) | [] | null | 0 |
Everyone who is old or not curious is not curious.
Everyone who is either calm or generous is tall.
Everyone who is not brave is both kind and not strong and vice versa.
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Eve... | Mary is patient. | contradiction | (![X]:((old(X)|~curious(X))=>~curious(X)))&
(![X]:((calm(X)<~>generous(X))=>tall(X)))&
(![X]:(~brave(X)<=>(kind(X)&~strong(X))))&
(![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<... | patient(mary) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 5640831791526970061115279
% SZS output start Proof for 5640831791526970061115279
23. ~creative(mary) & ~patient(mary) [input p22]
24. patient(mary) [input hypothesis]
145. ~patient(mary) [cnf transformation 23]
147. patient(mary) [cnf transformation 24]
324. $false [subsumption resolution... | 0 |
If someone is either old or not kind then john is rich or funny and vice versa.
Everyone who is not brave is not strong or not curious and vice versa.
If fred is not calm or not creative then mary is both wise and not patient and vice versa.
If fred is not funny or kind then someone is both wise and generous and vice v... | John is not quiet. | neutral | ((?[X]:((old(X)<~>~kind(X))))<=>((rich(john)|funny(john))))&
(![X]:(~brave(X)<=>(~strong(X)|~curious(X))))&
(((~calm(fred)|~creative(fred)))<=>((wise(mary)&~patient(mary))))&
(((~funny(fred)|kind(fred)))<=>(?[X]:((wise(X)&generous(X)))))&
((?[X]:((curious(X)|~calm(X))))<=>(?[X]:((brave(X)<~>happy(X)))))&
((?[X]:((~brav... | ~quiet(john) | [] | null | 0 |
If someone is not kind or humble then someone is either not rich or not patient and vice versa. Everyone who is not quiet or brave is both not wise and rich and vice versa. If fred is either not curious or strong then paul is both patient and not patient and vice versa. Everyone who is either kind or not wise is either... | Fred is strong. | neutral | ((?[X]:((~kind(X)|humble(X))))<=>(?[X]:((~rich(X)<~>~patient(X)))))&
(![X]:((~quiet(X)|brave(X))<=>(~wise(X)&rich(X))))&
(((~curious(fred)<~>strong(fred)))<=>((patient(paul)&~patient(paul))))&
(![X]:((kind(X)<~>~wise(X))<=>(generous(X)<~>patient(X))))&
((?[X]:((~kind(X)|quiet(X))))<=>((~old(paul)|strong(paul))))&
((?[X... | strong(fred) | [] | null | 0 |
If someone is curious or not old then someone is not humble or kind and vice versa.
Everyone who is both humble and calm is not tall or not brave and vice versa.
Everyone who is either kind or not patient is not wise or not strong and vice versa.
Everyone who is not quiet or old is both patient and happy and vice versa... | Lucy is wise. | entailment | ((?[X]:((curious(X)|~old(X))))<=>(?[X]:((~humble(X)|kind(X)))))&
(![X]:((humble(X)&calm(X))<=>(~tall(X)|~brave(X))))&
(![X]:((kind(X)<~>~patient(X))<=>(~wise(X)|~strong(X))))&
(![X]:((~quiet(X)|old(X))<=>(patient(X)&happy(X))))&
((?[X]:((~funny(X)|generous(X))))<=>((quiet(alice)|~rich(alice))))&
((~curious(lucy))=>((hu... | wise(lucy) | [
"p2",
"p3",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2584671909979393523238355
% SZS output start Proof for 2584671909979393523238355
3. ! [X0] : ((kind(X0) <~> ~patient(X0)) <=> (~strong(X0) | ~wise(X0))) [input p2]
4. ! [X0] : ((old(X0) | ~quiet(X0)) <=> (happy(X0) & patient(X0))) [input p3]
10. ~curious(lucy) => (curious(fred) & ~patient... | 0 |
Everyone who is both not curious and happy is either strong or not rich and vice versa.
Everyone who is not rich or humble is both curious and humble.
If paul is either humble or not funny then someone is both calm and quiet and vice versa.
Everyone who is both curious and not curious is either rich or not wise and vic... | Mary is not creative. | contradiction | (![X]:((~curious(X)&happy(X))<=>(strong(X)<~>~rich(X))))&
(![X]:((~rich(X)|humble(X))=>(curious(X)&humble(X))))&
(((humble(paul)<~>~funny(paul)))<=>(?[X]:((calm(X)&quiet(X)))))&
(![X]:((curious(X)&~curious(X))<=>(rich(X)<~>~wise(X))))&
(![X]:((~wise(X)|~funny(X))<=>(creative(X)<~>~patient(X))))&
(![X]:((~calm(X)&~brave... | ~creative(mary) | [
"p1",
"p4",
"p9",
"p13",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1799901762111675948468643
% SZS output start Proof for 1799901762111675948468643
2. ! [X0] : ((humble(X0) | ~rich(X0)) => (humble(X0) & curious(X0))) [input p1]
5. ! [X0] : ((~funny(X0) | ~wise(X0)) <=> (creative(X0) <~> ~patient(X0))) [input p4]
10. ! [X0] : ((rich(X0) | ~old(X0)) => cur... | 0 |
Everyone who is both wise and strong is both happy and not funny.
If someone is patient or not calm then paul is both not rich and not happy and vice versa.
If someone is both rich and not patient then someone is both not strong and happy and vice versa.
If susan is old or strong then susan is not funny or not kind.
Ev... | Paul is kind. | contradiction | (![X]:((wise(X)&strong(X))=>(happy(X)&~funny(X))))&
((?[X]:((patient(X)|~calm(X))))<=>((~rich(paul)&~happy(paul))))&
((?[X]:((rich(X)&~patient(X))))<=>(?[X]:((~strong(X)&happy(X)))))&
(((old(susan)|strong(susan)))=>((~funny(susan)|~kind(susan))))&
(![X]:((~funny(X)&~creative(X))<=>~wise(X)))&
(![X]:((~tall(X)|~generous... | kind(paul) | [
"p1",
"p5",
"p7",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7441203102507856535101830
% SZS output start Proof for 7441203102507856535101830
2. ? [X0] : (~calm(X0) | patient(X0)) <=> (~happy(paul) & ~rich(paul)) [input p1]
6. ! [X0] : ((~generous(X0) | ~tall(X0)) <=> (wise(X0) | ~strong(X0))) [input p5]
8. ! [X0] : (~patient(X0) <=> (~rich(X0) | ~... | 0 |
If susan is both humble and not rich then someone is both not rich and not funny and vice versa.
Everyone who is either quiet or not happy is either strong or not calm.
Everyone who is either quiet or curious is both not happy and not old.
If someone is not strong then mary is happy.
Everyone who is either tall or not ... | Susan is not calm. | contradiction | (((humble(susan)&~rich(susan)))<=>(?[X]:((~rich(X)&~funny(X)))))&
(![X]:((quiet(X)<~>~happy(X))=>(strong(X)<~>~calm(X))))&
(![X]:((quiet(X)<~>curious(X))=>(~happy(X)&~old(X))))&
((?[X]:(~strong(X)))=>(happy(mary)))&
(![X]:((tall(X)<~>~funny(X))<=>~quiet(X)))&
(![X]:((~humble(X)|~calm(X))=>(calm(X)&quiet(X))))&
((wise(j... | ~calm(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 6715008008302050948835610
% SZS output start Proof for 6715008008302050948835610
6. ! [X0] : ((~calm(X0) | ~humble(X0)) => (quiet(X0) & calm(X0))) [input p5]
25. ~calm(susan) [input hypothesis]
32. ! [X0] : ((quiet(X0) & calm(X0)) | (calm(X0) & humble(X0))) [ennf transformation 6]
92. cal... | 0 |
If john is not calm then someone is either calm or not funny and vice versa.
If susan is not old or not brave then fred is either not generous or kind.
If someone is either humble or tall then someone is either not patient or not funny.
If someone is either kind or rich then someone is tall or strong.
If fred is not ha... | John is rich. | contradiction | ((~calm(john))<=>(?[X]:((calm(X)<~>~funny(X)))))&
(((~old(susan)|~brave(susan)))=>((~generous(fred)<~>kind(fred))))&
((?[X]:((humble(X)<~>tall(X))))=>(?[X]:((~patient(X)<~>~funny(X)))))&
((?[X]:((kind(X)<~>rich(X))))=>(?[X]:((tall(X)|strong(X)))))&
((~happy(fred))=>((~kind(john)<~>~brave(john))))&
(![X]:((~creative(X)&... | rich(john) | [
"p0",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2212628636713746113478601
% SZS output start Proof for 2212628636713746113478601
1. ~calm(john) <=> ? [X0] : (calm(X0) <~> ~funny(X0)) [input p0]
8. ! [X0] : ((calm(X0) & funny(X0)) <=> (~creative(X0) | curious(X0))) [input p7]
11. ? [X0] : (strong(X0) | rich(X0)) => ~happy(john) [input p... | 0 |
Everyone who is not tall or not creative is tall.
Everyone who is either not humble or not generous is curious.
Everyone who is not brave is both not happy and humble and vice versa.
If someone is either not old or not generous then someone is both calm and not wise and vice versa.
Everyone who is either not generous o... | Mary is not brave. | contradiction | (![X]:((~tall(X)|~creative(X))=>tall(X)))&
(![X]:((~humble(X)<~>~generous(X))=>curious(X)))&
(![X]:(~brave(X)<=>(~happy(X)&humble(X))))&
((?[X]:((~old(X)<~>~generous(X))))<=>(?[X]:((calm(X)&~wise(X)))))&
(![X]:((~generous(X)<~>~kind(X))<=>~curious(X)))&
((?[X]:((happy(X)<~>creative(X))))=>((kind(mary)|~rich(mary))))&
(... | ~brave(mary) | [
"p0",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8512580092684571830848555
% SZS output start Proof for 8512580092684571830848555
1. ! [X0] : ((~creative(X0) | ~tall(X0)) => tall(X0)) [input p0]
9. ! [X0] : ((tall(X0) | old(X0)) => (~funny(X0) & ~patient(X0))) [input p8]
13. ! [X0] : ((patient(X0) & wise(X0)) <=> (~humble(X0) | ~brave(X... | 0 |
If susan is both strong and old then alice is not patient and vice versa.
Everyone who is not humble is both not wise and quiet.
Everyone who is either tall or wise is humble and vice versa.
Everyone who is patient or wise is generous or not brave.
If paul is both tall and not rich then someone is strong and vice versa... | Alice is not generous. | contradiction | (((strong(susan)&old(susan)))<=>(~patient(alice)))&
(![X]:(~humble(X)=>(~wise(X)&quiet(X))))&
(![X]:((tall(X)<~>wise(X))<=>humble(X)))&
(![X]:((patient(X)|wise(X))=>(generous(X)|~brave(X))))&
(((tall(paul)&~rich(paul)))<=>(?[X]:(strong(X))))&
(![X]:((~strong(X)|generous(X))=>(~rich(X)<~>~wise(X))))&
(![X]:((quiet(X)&~h... | ~generous(alice) | [
"p0",
"p3",
"p4",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2329506709284312020697514
% SZS output start Proof for 2329506709284312020697514
1. (old(susan) & strong(susan)) <=> ~patient(alice) [input p0]
4. ! [X0] : ((wise(X0) | patient(X0)) => (~brave(X0) | generous(X0))) [input p3]
5. (~rich(paul) & tall(paul)) <=> ? [X0] : strong(X0) [input p4]... | 0 |
Everyone who is curious or calm is both calm and quiet.
If someone is not generous or brave then john is either kind or not quiet and vice versa.
Everyone who is funny is both rich and calm.
Everyone who is both humble and happy is not rich.
Everyone who is old is not strong or not happy.
Everyone who is not happy is e... | John is not funny. | entailment | (![X]:((curious(X)|calm(X))=>(calm(X)&quiet(X))))&
((?[X]:((~generous(X)|brave(X))))<=>((kind(john)<~>~quiet(john))))&
(![X]:(funny(X)=>(rich(X)&calm(X))))&
(![X]:((humble(X)&happy(X))=>~rich(X)))&
(![X]:(old(X)=>(~strong(X)|~happy(X))))&
(![X]:(~happy(X)<=>(rich(X)<~>happy(X))))&
(![X]:((creative(X)|humble(X))<=>(~old... | ~funny(john) | [
"p2",
"p3",
"p5",
"p6",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2543794766874812876115701
% SZS output start Proof for 2543794766874812876115701
3. ! [X0] : (funny(X0) => (calm(X0) & rich(X0))) [input p2]
4. ! [X0] : ((happy(X0) & humble(X0)) => ~rich(X0)) [input p3]
6. ! [X0] : (~happy(X0) <=> (rich(X0) <~> happy(X0))) [input p5]
7. ! [X0] : ((humble... | 0 |
If lucy is not curious then someone is both happy and not creative and vice versa.
Everyone who is either not humble or not calm is both happy and not quiet and vice versa.
If alice is both quiet and not curious then someone is both kind and humble.
If paul is both not brave and kind then alice is both not generous and... | Mary is not funny. | neutral | ((~curious(lucy))<=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~humble(X)<~>~calm(X))<=>(happy(X)&~quiet(X))))&
(((quiet(alice)&~curious(alice)))=>(?[X]:((kind(X)&humble(X)))))&
(((~brave(paul)&kind(paul)))=>((~generous(alice)&~calm(alice))))&
(![X]:((calm(X)|~funny(X))<=>(tall(X)<~>~old(X))))&
(![X]:((rich(X)<~>~rich(... | ~funny(mary) | [] | null | 0 |
If susan is either not generous or not patient then someone is happy and vice versa.
Everyone who is not generous or not quiet is old.
Everyone who is either not old or humble is both happy and not funny and vice versa.
Everyone who is both funny and calm is strong and vice versa.
If mary is both tall and not quiet the... | Fred is curious. | entailment | (((~generous(susan)<~>~patient(susan)))<=>(?[X]:(happy(X))))&
(![X]:((~generous(X)|~quiet(X))=>old(X)))&
(![X]:((~old(X)<~>humble(X))<=>(happy(X)&~funny(X))))&
(![X]:((funny(X)&calm(X))<=>strong(X)))&
(((tall(mary)&~quiet(mary)))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:((patient(X)&strong(X))=>~kind(X)))&
((?[X]:((~quiet... | curious(fred) | [
"p1",
"p6",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2554212295504559674435306
% SZS output start Proof for 2554212295504559674435306
2. ! [X0] : ((~quiet(X0) | ~generous(X0)) => old(X0)) [input p1]
7. ? [X0] : (~happy(X0) & ~quiet(X0)) <=> (patient(fred) & ~old(fred)) [input p6]
16. ! [X0] : (happy(X0) => curious(X0)) [input p15]
23. ~tall... | 0 |
If mary is either kind or not old then someone is either wise or tall. Everyone who is both funny and not patient is either tall or not happy. If someone is either wise or not happy then someone is either calm or not tall. Everyone who is quiet or not humble is not wise. If susan is either calm or patient then lucy is ... | Fred is not calm. | entailment | (((kind(mary)<~>~old(mary)))=>(?[X]:((wise(X)<~>tall(X)))))&
(![X]:((funny(X)&~patient(X))=>(tall(X)<~>~happy(X))))&
((?[X]:((wise(X)<~>~happy(X))))=>(?[X]:((calm(X)<~>~tall(X)))))&
(![X]:((quiet(X)|~humble(X))=>~wise(X)))&
(((calm(susan)<~>patient(susan)))=>(kind(lucy)))&
((?[X]:((~generous(X)|brave(X))))=>((~humble(p... | ~calm(fred) | [
"p6",
"p7",
"p10",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8987499709772969732830766
% SZS output start Proof for 8987499709772969732830766
7. ! [X0] : ((~quiet(X0) <~> ~calm(X0)) <=> (~quiet(X0) <~> ~rich(X0))) [input p6]
8. ! [X0] : ((~generous(X0) | old(X0)) <=> (curious(X0) & generous(X0))) [input p7]
11. ! [X0] : ((rich(X0) & strong(X0)) => ... | 0 |
Everyone who is both creative and not curious is not patient.
Everyone who is both not rich and not happy is both not brave and not rich.
If someone is both not funny and not creative then someone is not creative and vice versa.
If paul is not generous or not wise then susan is both not generous and not strong and vice... | Susan is strong. | contradiction | (![X]:((creative(X)&~curious(X))=>~patient(X)))&
(![X]:((~rich(X)&~happy(X))=>(~brave(X)&~rich(X))))&
((?[X]:((~funny(X)&~creative(X))))<=>(?[X]:(~creative(X))))&
(((~generous(paul)|~wise(paul)))<=>((~generous(susan)&~strong(susan))))&
((~wise(paul))<=>(?[X]:((~rich(X)|brave(X)))))&
((?[X]:(~tall(X)))<=>((funny(fred)<~... | strong(susan) | [
"p3",
"p4",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9022338059700895312167214
% SZS output start Proof for 9022338059700895312167214
4. (~wise(paul) | ~generous(paul)) <=> (~strong(susan) & ~generous(susan)) [input p3]
5. ~wise(paul) <=> ? [X0] : (brave(X0) | ~rich(X0)) [input p4]
11. ? [X0] : (funny(X0) | ~curious(X0)) <=> ? [X0] : (patie... | 0 |
If susan is humble then lucy is either not happy or tall. Everyone who is both not brave and curious is either funny or creative and vice versa. If john is both not brave and happy then someone is strong and vice versa. Everyone who is both strong and not wise is rich and vice versa. If paul is both wise and not brave ... | Lucy is not funny. | entailment | ((humble(susan))=>((~happy(lucy)<~>tall(lucy))))&
(![X]:((~brave(X)&curious(X))<=>(funny(X)<~>creative(X))))&
(((~brave(john)&happy(john)))<=>(?[X]:(strong(X))))&
(![X]:((strong(X)&~wise(X))<=>rich(X)))&
(((wise(paul)&~brave(paul)))<=>((~happy(fred)|happy(fred))))&
(![X]:((funny(X)<~>quiet(X))=>(~happy(X)&~patient(X)))... | ~funny(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5004373738691567624971537
% SZS output start Proof for 5004373738691567624971537
15. ! [X0] : (funny(X0) => ~funny(X0)) [input p14]
25. funny(lucy) [input hypothesis]
37. ! [X0] : (~funny(X0) | ~funny(X0)) [ennf transformation 15]
109. ~funny(X0) | ~funny(X0) [cnf transformation 37]
121. ... | 0 |
Everyone who is not funny or strong is either humble or not strong.
If mary is both not brave and not kind then alice is either creative or strong.
Everyone who is either not creative or not curious is either not rich or generous and vice versa.
Everyone who is not creative is not tall or brave and vice versa.
Everyone... | Mary is not brave. | neutral | (![X]:((~funny(X)|strong(X))=>(humble(X)<~>~strong(X))))&
(((~brave(mary)&~kind(mary)))=>((creative(alice)<~>strong(alice))))&
(![X]:((~creative(X)<~>~curious(X))<=>(~rich(X)<~>generous(X))))&
(![X]:(~creative(X)<=>(~tall(X)|brave(X))))&
(![X]:((old(X)&~brave(X))=>(~old(X)|tall(X))))&
(![X]:((~tall(X)|creative(X))=>(~c... | ~brave(mary) | [] | null | 0 |
Everyone who is either generous or not strong is either not kind or kind and vice versa.
If someone is either happy or not patient then someone is tall or funny.
Everyone who is not wise or not curious is generous and vice versa.
Everyone who is both not humble and not creative is both tall and not brave and vice versa... | Alice is generous. | entailment | (![X]:((generous(X)<~>~strong(X))<=>(~kind(X)<~>kind(X))))&
((?[X]:((happy(X)<~>~patient(X))))=>(?[X]:((tall(X)|funny(X)))))&
(![X]:((~wise(X)|~curious(X))<=>generous(X)))&
(![X]:((~humble(X)&~creative(X))<=>(tall(X)&~brave(X))))&
((~rich(lucy))=>((~funny(mary)<~>~generous(mary))))&
((?[X]:(happy(X)))=>(?[X]:((brave(X)... | generous(alice) | [
"p0",
"p2",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3390561602996364714834797
% SZS output start Proof for 3390561602996364714834797
1. ! [X0] : ((generous(X0) <~> ~strong(X0)) <=> (~kind(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((~curious(X0) | ~wise(X0)) <=> generous(X0)) [input p2]
12. ! [X0] : ((~curious(X0) | wise(X0)) => (strong(X0)... | 0 |
Everyone who is either not kind or not wise is wise.
Everyone who is not kind or not patient is either not curious or not strong and vice versa.
If someone is not generous or not kind then paul is both not curious and calm.
If alice is old or not old then someone is not calm and vice versa.
Everyone who is both creativ... | John is not curious. | entailment | (![X]:((~kind(X)<~>~wise(X))=>wise(X)))&
(![X]:((~kind(X)|~patient(X))<=>(~curious(X)<~>~strong(X))))&
((?[X]:((~generous(X)|~kind(X))))=>((~curious(paul)&calm(paul))))&
(((old(alice)|~old(alice)))<=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&~brave(X))=>~quiet(X)))&
(![X]:(~brave(X)=>~kind(X)))&
((?[X]:((kind(X)|rich(X))... | ~curious(john) | [
"p1",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6946680377384876232873137
% SZS output start Proof for 6946680377384876232873137
2. ! [X0] : ((~patient(X0) | ~kind(X0)) <=> (~curious(X0) <~> ~strong(X0))) [input p1]
7. ? [X0] : (rich(X0) | kind(X0)) <=> ? [X0] : (calm(X0) & ~calm(X0)) [input p6]
11. ! [X0] : ((tall(X0) & ~curious(X0)) ... | 0 |
If someone is not humble or not patient then susan is either tall or not old.
If john is not old or kind then someone is both not humble and funny.
Everyone who is both old and not wise is either not patient or quiet and vice versa.
Everyone who is both brave and not rich is creative.
If mary is either happy or funny t... | Lucy is quiet. | contradiction | ((?[X]:((~humble(X)|~patient(X))))=>((tall(susan)<~>~old(susan))))&
(((~old(john)|kind(john)))=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((old(X)&~wise(X))<=>(~patient(X)<~>quiet(X))))&
(![X]:((brave(X)&~rich(X))=>creative(X)))&
(((happy(mary)<~>funny(mary)))=>(?[X]:((~creative(X)|generous(X)))))&
(((~generous(alice)&~cu... | quiet(lucy) | [
"p2",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7458862102318517943193889
% SZS output start Proof for 7458862102318517943193889
3. ! [X0] : ((~wise(X0) & old(X0)) <=> (~patient(X0) <~> quiet(X0))) [input p2]
7. ! [X0] : (quiet(X0) <=> (~old(X0) & ~humble(X0))) [input p6]
11. (funny(lucy) & strong(lucy)) <=> ? [X0] : ~patient(X0) [inpu... | 0 |
Everyone who is wise or not strong is both tall and not kind.
If someone is both not funny and old then someone is not calm or not rich and vice versa.
Everyone who is both not calm and funny is rich or generous.
If someone is both not wise and not curious then lucy is not wise or not strong and vice versa.
If mary is ... | Susan is wise. | contradiction | (![X]:((wise(X)|~strong(X))=>(tall(X)&~kind(X))))&
((?[X]:((~funny(X)&old(X))))<=>(?[X]:((~calm(X)|~rich(X)))))&
(![X]:((~calm(X)&funny(X))=>(rich(X)|generous(X))))&
((?[X]:((~wise(X)&~curious(X))))<=>((~wise(lucy)|~strong(lucy))))&
((patient(mary))<=>((humble(susan)&~calm(susan))))&
((~strong(paul))<=>(?[X]:((kind(X)<... | wise(susan) | [
"p0",
"p5",
"p6",
"p12",
"p14",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 530395634098940187287725
% SZS output start Proof for 530395634098940187287725
1. ! [X0] : ((~strong(X0) | wise(X0)) => (~kind(X0) & tall(X0))) [input p0]
6. ~strong(paul) <=> ? [X0] : (kind(X0) <~> tall(X0)) [input p5]
7. ! [X0] : (tall(X0) <=> ~old(X0)) [input p6]
13. ! [X0] : ((patient... | 0 |
Everyone who is old is either rich or creative.
If someone is generous then someone is patient.
Everyone who is either tall or not rich is both patient and not wise.
If john is not humble then someone is either wise or brave and vice versa.
Everyone who is not rich or not curious is both not generous and not happy.
Eve... | Alice is not wise. | entailment | (![X]:(old(X)=>(rich(X)<~>creative(X))))&
((?[X]:(generous(X)))=>(?[X]:(patient(X))))&
(![X]:((tall(X)<~>~rich(X))=>(patient(X)&~wise(X))))&
((~humble(john))<=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((~rich(X)|~curious(X))=>(~generous(X)&~happy(X))))&
(![X]:((kind(X)|~tall(X))<=>happy(X)))&
(((~brave(alice)|generous(ali... | ~wise(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p9",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6092774836747587986310308
% SZS output start Proof for 6092774836747587986310308
2. ? [X0] : generous(X0) => ? [X0] : patient(X0) [input p1]
3. ! [X0] : ((tall(X0) <~> ~rich(X0)) => (~wise(X0) & patient(X0))) [input p2]
5. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~happy(X0) & ~generous(X0... | 0 |
Everyone who is not curious or not happy is not humble and vice versa. Everyone who is either not humble or happy is either not brave or not patient. Everyone who is not happy is calm. If someone is both not humble and kind then someone is either funny or not funny. Everyone who is either old or wise is either calm or ... | Fred is quiet. | contradiction | (![X]:((~curious(X)|~happy(X))<=>~humble(X)))&
(![X]:((~humble(X)<~>happy(X))=>(~brave(X)<~>~patient(X))))&
(![X]:(~happy(X)=>calm(X)))&
((?[X]:((~humble(X)&kind(X))))=>(?[X]:((funny(X)<~>~funny(X)))))&
(![X]:((old(X)<~>wise(X))<=>(calm(X)<~>~calm(X))))&
((?[X]:((kind(X)&~funny(X))))<=>(?[X]:((quiet(X)&~rich(X)))))&
((... | quiet(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6067153860796321452350309
% SZS output start Proof for 6067153860796321452350309
10. ! [X0] : ((~quiet(X0) | ~patient(X0)) <=> patient(X0)) [input p9]
22. quiet(fred) [input hypothesis]
52. ! [X0] : (((~quiet(X0) | ~patient(X0)) | ~patient(X0)) & (patient(X0) | (quiet(X0) & patient(X0))))... | 0 |
If someone is either patient or funny then someone is not old and vice versa. If someone is either quiet or not quiet then someone is kind or generous and vice versa. If paul is either curious or kind then someone is either not old or old. If someone is not old or not tall then someone is wise and vice versa. Everyone ... | Fred is not quiet. | entailment | ((?[X]:((patient(X)<~>funny(X))))<=>(?[X]:(~old(X))))&
((?[X]:((quiet(X)<~>~quiet(X))))<=>(?[X]:((kind(X)|generous(X)))))&
(((curious(paul)<~>kind(paul)))=>(?[X]:((~old(X)<~>old(X)))))&
((?[X]:((~old(X)|~tall(X))))<=>(?[X]:(wise(X))))&
(![X]:((quiet(X)|strong(X))=>~brave(X)))&
((rich(lucy))<=>((happy(john)<~>~patient(j... | ~quiet(fred) | [
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 420068015515241061987451
% SZS output start Proof for 420068015515241061987451
5. ! [X0] : ((strong(X0) | quiet(X0)) => ~brave(X0)) [input p4]
16. ! [X0] : (quiet(X0) <=> (brave(X0) & wise(X0))) [input p15]
24. quiet(fred) [input hypothesis]
30. ! [X0] : (~brave(X0) | (~strong(X0) & ~quie... | 0 |
If someone is either not funny or not brave then someone is both rich and not strong and vice versa.
Everyone who is not happy is both not wise and humble and vice versa.
If paul is not patient or brave then someone is quiet and vice versa.
Everyone who is calm or not humble is not happy or not curious and vice versa.
... | Alice is not calm. | entailment | ((?[X]:((~funny(X)<~>~brave(X))))<=>(?[X]:((rich(X)&~strong(X)))))&
(![X]:(~happy(X)<=>(~wise(X)&humble(X))))&
(((~patient(paul)|brave(paul)))<=>(?[X]:(quiet(X))))&
(![X]:((calm(X)|~humble(X))<=>(~happy(X)|~curious(X))))&
(![X]:((~old(X)|~quiet(X))<=>~brave(X)))&
(![X]:(old(X)<=>patient(X)))&
(![X]:(~humble(X)<=>brave(... | ~calm(alice) | [
"p1",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9100844497821026787218384
% SZS output start Proof for 9100844497821026787218384
2. ! [X0] : (~happy(X0) <=> (humble(X0) & ~wise(X0))) [input p1]
5. ! [X0] : ((~quiet(X0) | ~old(X0)) <=> ~brave(X0)) [input p4]
6. ! [X0] : (old(X0) <=> patient(X0)) [input p5]
7. ! [X0] : (~humble(X0) <=> b... | 0 |
If lucy is kind then someone is not funny or not curious.
If someone is either old or rich then fred is old or brave and vice versa.
If someone is not funny then someone is either not calm or tall.
Everyone who is either generous or not strong is not wise or not funny and vice versa.
If someone is both strong and creat... | Fred is not funny. | neutral | ((kind(lucy))=>(?[X]:((~funny(X)|~curious(X)))))&
((?[X]:((old(X)<~>rich(X))))<=>((old(fred)|brave(fred))))&
((?[X]:(~funny(X)))=>(?[X]:((~calm(X)<~>tall(X)))))&
(![X]:((generous(X)<~>~strong(X))<=>(~wise(X)|~funny(X))))&
((?[X]:((strong(X)&creative(X))))<=>(~calm(fred)))&
((?[X]:((generous(X)&quiet(X))))<=>(?[X]:((~ki... | ~funny(fred) | [] | null | 0 |
If alice is both not quiet and not humble then someone is both rich and happy and vice versa. Everyone who is happy or not patient is patient or not patient. Everyone who is curious or not funny is both creative and not funny and vice versa. Everyone who is tall is not generous. Everyone who is either creative or not k... | Susan is not happy. | entailment | (((~quiet(alice)&~humble(alice)))<=>(?[X]:((rich(X)&happy(X)))))&
(![X]:((happy(X)|~patient(X))=>(patient(X)|~patient(X))))&
(![X]:((curious(X)|~funny(X))<=>(creative(X)&~funny(X))))&
(![X]:(tall(X)=>~generous(X)))&
(![X]:((creative(X)<~>~kind(X))<=>~old(X)))&
(![X]:((quiet(X)|~strong(X))=>(happy(X)|kind(X))))&
(![X]:(... | ~happy(susan) | [
"p0",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8031972285737657674745224
% SZS output start Proof for 8031972285737657674745224
1. (~humble(alice) & ~quiet(alice)) <=> ? [X0] : (happy(X0) & rich(X0)) [input p0]
16. ! [X0] : ((calm(X0) & rich(X0)) <=> (creative(X0) | happy(X0))) [input p15]
20. humble(alice) & ~funny(alice) [input p19]... | 0 |
If someone is wise then someone is either not strong or brave and vice versa.
Everyone who is both quiet and calm is either kind or not humble.
Everyone who is both creative and funny is both not quiet and patient and vice versa.
Everyone who is either not wise or generous is both not wise and not funny and vice versa.... | Susan is funny. | entailment | ((?[X]:(wise(X)))<=>(?[X]:((~strong(X)<~>brave(X)))))&
(![X]:((quiet(X)&calm(X))=>(kind(X)<~>~humble(X))))&
(![X]:((creative(X)&funny(X))<=>(~quiet(X)&patient(X))))&
(![X]:((~wise(X)<~>generous(X))<=>(~wise(X)&~funny(X))))&
(![X]:((tall(X)&~wise(X))<=>(~generous(X)|tall(X))))&
(![X]:((patient(X)<~>happy(X))=>(happy(X)<... | funny(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6964503876999115667722227
% SZS output start Proof for 6964503876999115667722227
10. ! [X0] : (funny(X0) <=> (~curious(X0) | curious(X0))) [input p9]
25. ~funny(susan) [input hypothesis]
58. ! [X0] : ((funny(X0) | (curious(X0) & ~curious(X0))) & ((~curious(X0) | curious(X0)) | ~funny(X0))... | 0 |
Everyone who is both not calm and kind is not calm.
If someone is either not patient or not curious then paul is either not humble or not funny.
Everyone who is tall is both humble and happy.
Everyone who is not quiet or not tall is curious.
If someone is either patient or not curious then someone is not happy or not r... | Lucy is not brave. | neutral | (![X]:((~calm(X)&kind(X))=>~calm(X)))&
((?[X]:((~patient(X)<~>~curious(X))))=>((~humble(paul)<~>~funny(paul))))&
(![X]:(tall(X)=>(humble(X)&happy(X))))&
(![X]:((~quiet(X)|~tall(X))=>curious(X)))&
((?[X]:((patient(X)<~>~curious(X))))=>(?[X]:((~happy(X)|~rich(X)))))&
(![X]:(rich(X)=>patient(X)))&
(![X]:((curious(X)&~tall... | ~brave(lucy) | [] | null | 0 |
Everyone who is calm or kind is strong. Everyone who is generous or calm is both not creative and kind and vice versa. Everyone who is both not curious and curious is not calm. If someone is humble then paul is either not tall or generous and vice versa. If someone is both not kind and strong then paul is both not old ... | John is calm. | neutral | (![X]:((calm(X)|kind(X))=>strong(X)))&
(![X]:((generous(X)|calm(X))<=>(~creative(X)&kind(X))))&
(![X]:((~curious(X)&curious(X))=>~calm(X)))&
((?[X]:(humble(X)))<=>((~tall(paul)<~>generous(paul))))&
((?[X]:((~kind(X)&strong(X))))<=>((~old(paul)&rich(paul))))&
(![X]:((patient(X)&brave(X))<=>(tall(X)|funny(X))))&
(![X]:((... | calm(john) | [] | null | 0 |
If lucy is creative or not curious then susan is both not patient and not calm.
Everyone who is either brave or not happy is both not patient and not funny and vice versa.
Everyone who is patient is both not humble and not calm.
If someone is humble then lucy is not rich or not generous.
Everyone who is both brave and ... | Paul is not strong. | contradiction | (((creative(lucy)|~curious(lucy)))=>((~patient(susan)&~calm(susan))))&
(![X]:((brave(X)<~>~happy(X))<=>(~patient(X)&~funny(X))))&
(![X]:(patient(X)=>(~humble(X)&~calm(X))))&
((?[X]:(humble(X)))=>((~rich(lucy)|~generous(lucy))))&
(![X]:((brave(X)&wise(X))<=>(kind(X)<~>~curious(X))))&
((?[X]:((curious(X)<~>kind(X))))=>((... | ~strong(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7075419820523174866646939
% SZS output start Proof for 7075419820523174866646939
17. strong(paul) & old(paul) [input p16]
25. ~strong(paul) [input hypothesis]
134. strong(paul) [cnf transformation 17]
143. ~strong(paul) [cnf transformation 25]
301. $false [subsumption resolution 143,134]
... | 0 |
If lucy is either kind or rich then fred is happy or brave.
If paul is brave then someone is both calm and patient and vice versa.
Everyone who is not tall is not kind and vice versa.
If someone is either not curious or not strong then john is either not happy or wise.
Everyone who is not happy or kind is both not rich... | John is old. | neutral | (((kind(lucy)<~>rich(lucy)))=>((happy(fred)|brave(fred))))&
((brave(paul))<=>(?[X]:((calm(X)&patient(X)))))&
(![X]:(~tall(X)<=>~kind(X)))&
((?[X]:((~curious(X)<~>~strong(X))))=>((~happy(john)<~>wise(john))))&
(![X]:((~happy(X)|kind(X))<=>(~rich(X)&happy(X))))&
(((~tall(susan)|~old(susan)))=>(?[X]:((~creative(X)|old(X))... | old(john) | [] | null | 0 |
Everyone who is funny or not tall is both not tall and not quiet.
Everyone who is not generous is not kind and vice versa.
If susan is not quiet then someone is both not strong and not happy.
Everyone who is either not humble or not brave is either calm or not generous.
Everyone who is either not old or generous is bot... | Paul is funny. | contradiction | (![X]:((funny(X)|~tall(X))=>(~tall(X)&~quiet(X))))&
(![X]:(~generous(X)<=>~kind(X)))&
((~quiet(susan))=>(?[X]:((~strong(X)&~happy(X)))))&
(![X]:((~humble(X)<~>~brave(X))=>(calm(X)<~>~generous(X))))&
(![X]:((~old(X)<~>generous(X))=>(calm(X)&~strong(X))))&
(((strong(paul)&~calm(paul)))=>(~rich(alice)))&
(![X]:((funny(X)&... | funny(paul) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7878813963660820343853072
% SZS output start Proof for 7878813963660820343853072
24. ~funny(paul) [input p23]
25. funny(paul) [input hypothesis]
133. ~funny(paul) [cnf transformation 24]
134. funny(paul) [cnf transformation 25]
249. $false [subsumption resolution 134,133]
% SZS output end... | 0 |
Everyone who is either not wise or not brave is not kind or quiet. If someone is not patient or not old then someone is wise or rich and vice versa. Everyone who is not funny or not humble is either calm or strong. If someone is not strong then someone is not wise and vice versa. If someone is either not old or calm th... | Mary is kind. | neutral | (![X]:((~wise(X)<~>~brave(X))=>(~kind(X)|quiet(X))))&
((?[X]:((~patient(X)|~old(X))))<=>(?[X]:((wise(X)|rich(X)))))&
(![X]:((~funny(X)|~humble(X))=>(calm(X)<~>strong(X))))&
((?[X]:(~strong(X)))<=>(?[X]:(~wise(X))))&
((?[X]:((~old(X)<~>calm(X))))<=>(?[X]:((tall(X)<~>~generous(X)))))&
((?[X]:((~funny(X)&patient(X))))=>(?... | kind(mary) | [] | null | 0 |
Everyone who is both not patient and not creative is not rich and vice versa.
If lucy is either happy or generous then someone is patient or not curious.
Everyone who is strong or tall is old.
If lucy is either not funny or kind then fred is calm and vice versa.
Everyone who is both calm and happy is either not old or ... | Susan is tall. | neutral | (![X]:((~patient(X)&~creative(X))<=>~rich(X)))&
(((happy(lucy)<~>generous(lucy)))=>(?[X]:((patient(X)|~curious(X)))))&
(![X]:((strong(X)|tall(X))=>old(X)))&
(((~funny(lucy)<~>kind(lucy)))<=>(calm(fred)))&
(![X]:((calm(X)&happy(X))=>(~old(X)<~>~quiet(X))))&
(![X]:((~patient(X)|tall(X))<=>(~old(X)<~>~rich(X))))&
(![X]:(~... | tall(susan) | [] | null | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is both brave and humble then someone is patient or wise.
Everyone who is creative is generous or not calm and vice versa.
If susan is both not calm and happy then someone is both rich and not old and vice versa.
If someone is not brave or not p... | Fred is curious. | entailment | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((brave(lucy)&humble(lucy)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:(creative(X)<=>(generous(X)|~calm(X))))&
(((~calm(susan)&happy(susan)))<=>(?[X]:((rich(X)&~old(X)))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~... | curious(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5952154191644998489686153
% SZS output start Proof for 5952154191644998489686153
13. ! [X0] : ((generous(X0) | ~curious(X0)) <=> curious(X0)) [input p12]
22. ~curious(fred) [input hypothesis]
53. ! [X0] : (((generous(X0) | ~curious(X0)) | ~curious(X0)) & (curious(X0) | (~generous(X0) & cu... | 0 |
Everyone who is both curious and generous is patient.
Everyone who is both not old and not funny is not creative or not funny and vice versa.
Everyone who is both not patient and not creative is not tall and vice versa.
Everyone who is funny is either not strong or not brave.
Everyone who is not creative is both creati... | Fred is not quiet. | neutral | (![X]:((curious(X)&generous(X))=>patient(X)))&
(![X]:((~old(X)&~funny(X))<=>(~creative(X)|~funny(X))))&
(![X]:((~patient(X)&~creative(X))<=>~tall(X)))&
(![X]:(funny(X)=>(~strong(X)<~>~brave(X))))&
(![X]:(~creative(X)=>(creative(X)&~kind(X))))&
(![X]:(~strong(X)=>(~old(X)|~humble(X))))&
(![X]:((strong(X)<~>~humble(X))<=... | ~quiet(fred) | [] | null | 0 |
If lucy is strong then alice is either not old or not calm.
If john is both not old and humble then someone is either not brave or creative.
Everyone who is not generous or generous is both creative and rich.
Everyone who is both not quiet and happy is either brave or calm and vice versa.
If alice is generous or calm t... | Mary is old. | neutral | ((strong(lucy))=>((~old(alice)<~>~calm(alice))))&
(((~old(john)&humble(john)))=>(?[X]:((~brave(X)<~>creative(X)))))&
(![X]:((~generous(X)|generous(X))=>(creative(X)&rich(X))))&
(![X]:((~quiet(X)&happy(X))<=>(brave(X)<~>calm(X))))&
(((generous(alice)|calm(alice)))=>(?[X]:(tall(X))))&
(![X]:((funny(X)|~rich(X))=>(creativ... | old(mary) | [] | null | 0 |
Everyone who is either kind or not old is either curious or not rich. If someone is not old or not curious then lucy is either strong or tall and vice versa. If john is calm then someone is either patient or not tall and vice versa. Everyone who is both not funny and not old is both not curious and rich. If someone is ... | Lucy is rich. | contradiction | (![X]:((kind(X)<~>~old(X))=>(curious(X)<~>~rich(X))))&
((?[X]:((~old(X)|~curious(X))))<=>((strong(lucy)<~>tall(lucy))))&
((calm(john))<=>(?[X]:((patient(X)<~>~tall(X)))))&
(![X]:((~funny(X)&~old(X))=>(~curious(X)&rich(X))))&
((?[X]:((~quiet(X)<~>~old(X))))<=>(?[X]:((wise(X)|kind(X)))))&
(![X]:((happy(X)&~patient(X))<=>... | rich(lucy) | [
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2503732895047041022459469
% SZS output start Proof for 2503732895047041022459469
12. ! [X0] : ((~rich(X0) & ~strong(X0)) <=> (rich(X0) <~> patient(X0))) [input p11]
21. ~patient(lucy) [input p20]
25. rich(lucy) [input hypothesis]
66. ! [X0] : (((~rich(X0) & ~strong(X0)) | ((rich(X0) | ~pa... | 0 |
Everyone who is either not generous or generous is not old.
Everyone who is not old is funny.
If someone is either not kind or not brave then lucy is not patient or not calm and vice versa.
Everyone who is both not wise and strong is either not creative or not humble.
Everyone who is not calm is both curious and calm.
... | Fred is patient. | entailment | (![X]:((~generous(X)<~>generous(X))=>~old(X)))&
(![X]:(~old(X)=>funny(X)))&
((?[X]:((~kind(X)<~>~brave(X))))<=>((~patient(lucy)|~calm(lucy))))&
(![X]:((~wise(X)&strong(X))=>(~creative(X)<~>~humble(X))))&
(![X]:(~calm(X)=>(curious(X)&calm(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~wise(X)&tall(X)))))&
(((~wise(fred)<~>~happy(f... | patient(fred) | [
"p0",
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5168079428320232045498446
% SZS output start Proof for 5168079428320232045498446
1. ! [X0] : ((~generous(X0) <~> generous(X0)) => ~old(X0)) [input p0]
2. ! [X0] : (~old(X0) => funny(X0)) [input p1]
16. ! [X0] : ((creative(X0) | funny(X0)) => patient(X0)) [input p15]
23. ~patient(fred) [in... | 0 |
Everyone who is either old or funny is either strong or rich.
Everyone who is quiet is curious or kind.
Everyone who is both not kind and brave is not quiet or patient and vice versa.
Everyone who is not old is not wise and vice versa.
If fred is both not patient and wise then lucy is not happy or generous.
If someone ... | Lucy is quiet. | entailment | (![X]:((old(X)<~>funny(X))=>(strong(X)<~>rich(X))))&
(![X]:(quiet(X)=>(curious(X)|kind(X))))&
(![X]:((~kind(X)&brave(X))<=>(~quiet(X)|patient(X))))&
(![X]:(~old(X)<=>~wise(X)))&
(((~patient(fred)&wise(fred)))=>((~happy(lucy)|generous(lucy))))&
((?[X]:((creative(X)<~>~calm(X))))<=>((rich(john)|calm(john))))&
(![X]:(gene... | quiet(lucy) | [
"p2",
"p12",
"p13",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5594331548221216824169673
% SZS output start Proof for 5594331548221216824169673
3. ! [X0] : ((brave(X0) & ~kind(X0)) <=> (patient(X0) | ~quiet(X0))) [input p2]
13. ! [X0] : (~quiet(X0) => ~tall(X0)) [input p12]
14. ! [X0] : (quiet(X0) => (~quiet(X0) | brave(X0))) [input p13]
15. tall(luc... | 0 |
Everyone who is not wise or wise is either not curious or wise and vice versa.
If john is both creative and not happy then alice is either not generous or patient and vice versa.
If someone is not wise or not tall then someone is either curious or calm.
If susan is both happy and rich then someone is not happy.
Everyon... | Susan is generous. | contradiction | (![X]:((~wise(X)|wise(X))<=>(~curious(X)<~>wise(X))))&
(((creative(john)&~happy(john)))<=>((~generous(alice)<~>patient(alice))))&
((?[X]:((~wise(X)|~tall(X))))=>(?[X]:((curious(X)<~>calm(X)))))&
(((happy(susan)&rich(susan)))=>(?[X]:(~happy(X))))&
(![X]:((generous(X)<~>happy(X))<=>~tall(X)))&
((?[X]:((generous(X)&~gener... | generous(susan) | [
"p0",
"p4",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1003420975246360889911333
% SZS output start Proof for 1003420975246360889911333
1. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (~curious(X0) <~> wise(X0))) [input p0]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> ~tall(X0)) [input p4]
10. ! [X0] : ((~old(X0) | rich(X0)) => (happy(X0) | wise(X0)... | 0 |
Everyone who is not tall is not calm and vice versa. If someone is both tall and patient then john is curious and vice versa. Everyone who is either generous or not humble is either tall or funny. Everyone who is not quiet or humble is both old and not calm and vice versa. If someone is curious then someone is funny an... | Mary is creative. | neutral | (![X]:(~tall(X)<=>~calm(X)))&
((?[X]:((tall(X)&patient(X))))<=>(curious(john)))&
(![X]:((generous(X)<~>~humble(X))=>(tall(X)<~>funny(X))))&
(![X]:((~quiet(X)|humble(X))<=>(old(X)&~calm(X))))&
((?[X]:(curious(X)))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)|generous(X))=>(~old(X)&~generous(X))))&
(((wise(lucy)|~patient(lucy... | creative(mary) | [] | null | 0 |
Everyone who is either kind or not kind is not wise. Everyone who is old or not quiet is wise. Everyone who is both not generous and not funny is either not brave or not funny and vice versa. If someone is not old then someone is either curious or not funny. Everyone who is patient is not happy or tall. Everyone who is... | Lucy is old. | contradiction | (![X]:((kind(X)<~>~kind(X))=>~wise(X)))&
(![X]:((old(X)|~quiet(X))=>wise(X)))&
(![X]:((~generous(X)&~funny(X))<=>(~brave(X)<~>~funny(X))))&
((?[X]:(~old(X)))=>(?[X]:((curious(X)<~>~funny(X)))))&
(![X]:(patient(X)=>(~happy(X)|tall(X))))&
(![X]:((kind(X)&~wise(X))=>(kind(X)<~>tall(X))))&
((?[X]:((~quiet(X)<~>kind(X))))<=... | old(lucy) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8456156686201328650500154
% SZS output start Proof for 8456156686201328650500154
1. ! [X0] : ((kind(X0) <~> ~kind(X0)) => ~wise(X0)) [input p0]
2. ! [X0] : ((~quiet(X0) | old(X0)) => wise(X0)) [input p1]
24. old(lucy) [input hypothesis]
26. ! [X0] : (~wise(X0) | (kind(X0) <=> ~kind(X0))) ... | 0 |
Everyone who is humble or strong is both not brave and old.
If mary is not kind or not curious then someone is not calm or calm.
Everyone who is either not curious or old is either not tall or creative.
Everyone who is not curious or not kind is both humble and creative and vice versa.
Everyone who is both curious and ... | Paul is old. | contradiction | (![X]:((humble(X)|strong(X))=>(~brave(X)&old(X))))&
(((~kind(mary)|~curious(mary)))=>(?[X]:((~calm(X)|calm(X)))))&
(![X]:((~curious(X)<~>old(X))=>(~tall(X)<~>creative(X))))&
(![X]:((~curious(X)|~kind(X))<=>(humble(X)&creative(X))))&
(![X]:((curious(X)&creative(X))=>(creative(X)<~>funny(X))))&
(![X]:(wise(X)=>(wise(X)|p... | old(paul) | [
"p2",
"p3",
"p6",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2423828493880804428497878
% SZS output start Proof for 2423828493880804428497878
3. ! [X0] : ((~curious(X0) <~> old(X0)) => (~tall(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~curious(X0)) <=> (creative(X0) & humble(X0))) [input p3]
7. ! [X0] : ((creative(X0) | ~funny(X0))... | 0 |
If someone is not old or not patient then mary is both patient and rich and vice versa.
Everyone who is either calm or tall is either not kind or calm.
If someone is not happy or calm then john is tall.
Everyone who is both not old and not tall is humble.
If susan is either not kind or patient then john is either not c... | Susan is not strong. | contradiction | ((?[X]:((~old(X)|~patient(X))))<=>((patient(mary)&rich(mary))))&
(![X]:((calm(X)<~>tall(X))=>(~kind(X)<~>calm(X))))&
((?[X]:((~happy(X)|calm(X))))=>(tall(john)))&
(![X]:((~old(X)&~tall(X))=>humble(X)))&
(((~kind(susan)<~>patient(susan)))<=>((~curious(john)<~>~happy(john))))&
((?[X]:((old(X)|happy(X))))<=>((curious(alic... | ~strong(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3972330549765175682539269
% SZS output start Proof for 3972330549765175682539269
13. ! [X0] : ((~strong(X0) <~> kind(X0)) <=> kind(X0)) [input p12]
24. ~strong(susan) [input hypothesis]
55. ! [X0] : ((((~kind(X0) | strong(X0)) & (kind(X0) | ~strong(X0))) | ~kind(X0)) & (kind(X0) | ((~stro... | 0 |
Everyone who is either kind or patient is creative or tall and vice versa.
Everyone who is either strong or not patient is not patient.
Everyone who is rich is either rich or kind and vice versa.
If fred is either creative or not patient then someone is either not kind or rich.
Everyone who is both not strong and not h... | Fred is not happy. | neutral | (![X]:((kind(X)<~>patient(X))<=>(creative(X)|tall(X))))&
(![X]:((strong(X)<~>~patient(X))=>~patient(X)))&
(![X]:(rich(X)<=>(rich(X)<~>kind(X))))&
(((creative(fred)<~>~patient(fred)))=>(?[X]:((~kind(X)<~>rich(X)))))&
(![X]:((~strong(X)&~happy(X))=>~funny(X)))&
(((quiet(lucy)|~kind(lucy)))<=>(?[X]:(wise(X))))&
((~quiet(a... | ~happy(fred) | [] | null | 0 |
Everyone who is patient is not funny.
Everyone who is either not wise or generous is both funny and not rich.
If susan is either not brave or generous then someone is generous or not brave and vice versa.
If someone is not strong or not calm then someone is tall or calm.
If someone is either brave or not generous then ... | John is not funny. | contradiction | (![X]:(patient(X)=>~funny(X)))&
(![X]:((~wise(X)<~>generous(X))=>(funny(X)&~rich(X))))&
(((~brave(susan)<~>generous(susan)))<=>(?[X]:((generous(X)|~brave(X)))))&
((?[X]:((~strong(X)|~calm(X))))=>(?[X]:((tall(X)|calm(X)))))&
((?[X]:((brave(X)<~>~generous(X))))=>((~happy(fred)&happy(fred))))&
(((tall(fred)|funny(fred)))=... | ~funny(john) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6142779997380681395123883
% SZS output start Proof for 6142779997380681395123883
3. (~brave(susan) <~> generous(susan)) <=> ? [X0] : (~brave(X0) | generous(X0)) [input p2]
5. ? [X0] : (brave(X0) <~> ~generous(X0)) => (happy(fred) & ~happy(fred)) [input p4]
8. ? [X0] : ~funny(X0) <=> ? [X0... | 0 |
Everyone who is quiet is either not kind or humble. Everyone who is not funny is both not rich and curious. Everyone who is both happy and not creative is not happy and vice versa. If someone is either not old or creative then someone is both old and not old. Everyone who is both creative and funny is curious. Everyone... | Lucy is tall. | contradiction | (![X]:(quiet(X)=>(~kind(X)<~>humble(X))))&
(![X]:(~funny(X)=>(~rich(X)&curious(X))))&
(![X]:((happy(X)&~creative(X))<=>~happy(X)))&
((?[X]:((~old(X)<~>creative(X))))=>(?[X]:((old(X)&~old(X)))))&
(![X]:((creative(X)&funny(X))=>curious(X)))&
(![X]:((tall(X)<~>~curious(X))<=>(generous(X)&~strong(X))))&
(((~curious(lucy)|~... | tall(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 269705090799330167219098
% SZS output start Proof for 269705090799330167219098
2. ! [X0] : (~funny(X0) => (curious(X0) & ~rich(X0))) [input p1]
3. ! [X0] : ((~creative(X0) & happy(X0)) <=> ~happy(X0)) [input p2]
4. ? [X0] : (~old(X0) <~> creative(X0)) => ? [X0] : (~old(X0) & old(X0)) [inp... | 0 |
Everyone who is kind or rich is both not old and not wise.
Everyone who is not happy is wise or not patient and vice versa.
Everyone who is not old or calm is either not kind or calm and vice versa.
Everyone who is calm is either not brave or not humble.
Everyone who is either not humble or not creative is either humbl... | Alice is not generous. | neutral | (![X]:((kind(X)|rich(X))=>(~old(X)&~wise(X))))&
(![X]:(~happy(X)<=>(wise(X)|~patient(X))))&
(![X]:((~old(X)|calm(X))<=>(~kind(X)<~>calm(X))))&
(![X]:(calm(X)=>(~brave(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>~creative(X))=>(humble(X)<~>~patient(X))))&
((?[X]:((wise(X)|happy(X))))<=>((calm(fred)<~>~generous(fred))))&
(!... | ~generous(alice) | [] | null | 0 |
If paul is not generous then lucy is not funny or creative and vice versa.
If someone is not tall or not wise then someone is not creative and vice versa.
If someone is funny or generous then fred is either happy or not tall and vice versa.
If john is not creative then lucy is both quiet and wise and vice versa.
Everyo... | Paul is brave. | entailment | ((~generous(paul))<=>((~funny(lucy)|creative(lucy))))&
((?[X]:((~tall(X)|~wise(X))))<=>(?[X]:(~creative(X))))&
((?[X]:((funny(X)|generous(X))))<=>((happy(fred)<~>~tall(fred))))&
((~creative(john))<=>((quiet(lucy)&wise(lucy))))&
(![X]:((brave(X)|happy(X))=>(~tall(X)<~>~generous(X))))&
(((happy(john)&~tall(john)))<=>((~s... | brave(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 178976445682656609896101
% SZS output start Proof for 178976445682656609896101
22. rich(paul) & brave(paul) [input p21]
25. ~brave(paul) [input hypothesis]
127. brave(paul) [cnf transformation 22]
132. ~brave(paul) [cnf transformation 25]
322. $false [subsumption resolution 132,127]
% SZS... | 0 |
If someone is not happy or quiet then someone is not rich.
If paul is either wise or not funny then paul is both not strong and not quiet and vice versa.
If susan is either old or not old then someone is tall or creative.
If someone is both not brave and not creative then susan is both funny and not curious.
Everyone w... | Alice is brave. | entailment | ((?[X]:((~happy(X)|quiet(X))))=>(?[X]:(~rich(X))))&
(((wise(paul)<~>~funny(paul)))<=>((~strong(paul)&~quiet(paul))))&
(((old(susan)<~>~old(susan)))=>(?[X]:((tall(X)|creative(X)))))&
((?[X]:((~brave(X)&~creative(X))))=>((funny(susan)&~curious(susan))))&
(![X]:((~old(X)|~brave(X))=>(~old(X)<~>generous(X))))&
(![X]:((~wis... | brave(alice) | [
"p4",
"p5",
"p6",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2574054865499171118225971
% SZS output start Proof for 2574054865499171118225971
5. ! [X0] : ((~brave(X0) | ~old(X0)) => (~old(X0) <~> generous(X0))) [input p4]
6. ! [X0] : ((~wise(X0) <~> ~rich(X0)) <=> (tall(X0) | ~wise(X0))) [input p5]
7. ! [X0] : (~old(X0) <=> (~creative(X0) & rich(X0... | 0 |
If lucy is both strong and not strong then alice is either not rich or humble and vice versa.
If alice is not generous then someone is not generous.
If susan is not kind or strong then someone is both not old and not creative and vice versa.
Everyone who is calm is patient or not happy.
Everyone who is patient is not w... | Alice is not humble. | neutral | (((strong(lucy)&~strong(lucy)))<=>((~rich(alice)<~>humble(alice))))&
((~generous(alice))=>(?[X]:(~generous(X))))&
(((~kind(susan)|strong(susan)))<=>(?[X]:((~old(X)&~creative(X)))))&
(![X]:(calm(X)=>(patient(X)|~happy(X))))&
(![X]:(patient(X)<=>(~wise(X)|~old(X))))&
(![X]:((~rich(X)<~>rich(X))<=>(~patient(X)|strong(X)))... | ~humble(alice) | [] | null | 0 |
Everyone who is both not happy and old is strong.
Everyone who is funny or not kind is either brave or not quiet and vice versa.
If someone is either strong or happy then lucy is tall or generous.
Everyone who is both rich and not kind is creative and vice versa.
Everyone who is not humble is rich and vice versa.
Every... | Mary is calm. | entailment | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((funny(X)|~kind(X))<=>(brave(X)<~>~quiet(X))))&
((?[X]:((strong(X)<~>happy(X))))=>((tall(lucy)|generous(lucy))))&
(![X]:((rich(X)&~kind(X))<=>creative(X)))&
(![X]:(~humble(X)<=>rich(X)))&
(![X]:(~generous(X)<=>(~humble(X)&old(X))))&
((?[X]:((~tall(X)&humble(X))))=>(?[X]:((... | calm(mary) | [
"p4",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7553191289303050182283303
% SZS output start Proof for 7553191289303050182283303
5. ! [X0] : (~humble(X0) <=> rich(X0)) [input p4]
12. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (curious(X0) & ~humble(X0))) [input p11]
14. ! [X0] : ((~patient(X0) & calm(X0)) <=> (rich(X0) | happy(X0))) [input... | 0 |
Everyone who is generous is not brave.
Everyone who is either not patient or not quiet is both rich and not wise and vice versa.
Everyone who is either generous or old is not wise and vice versa.
If alice is both not tall and not patient then john is both kind and funny and vice versa.
If someone is both calm and not p... | Susan is not humble. | neutral | (![X]:(generous(X)=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(rich(X)&~wise(X))))&
(![X]:((generous(X)<~>old(X))<=>~wise(X)))&
(((~tall(alice)&~patient(alice)))<=>((kind(john)&funny(john))))&
((?[X]:((calm(X)&~patient(X))))<=>((tall(paul)<~>generous(paul))))&
(![X]:(curious(X)<=>(~patient(X)&humble(X))))&
(![X]:... | ~humble(susan) | [] | null | 0 |
Everyone who is not calm or generous is curious. Everyone who is either not patient or wise is both not rich and humble. If someone is not rich then someone is both curious and old. Everyone who is both not old and funny is not strong or patient. If lucy is curious or not creative then john is both not calm and not cur... | Susan is brave. | contradiction | (![X]:((~calm(X)|generous(X))=>curious(X)))&
(![X]:((~patient(X)<~>wise(X))=>(~rich(X)&humble(X))))&
((?[X]:(~rich(X)))=>(?[X]:((curious(X)&old(X)))))&
(![X]:((~old(X)&funny(X))=>(~strong(X)|patient(X))))&
(((curious(lucy)|~creative(lucy)))<=>((~calm(john)&~curious(john))))&
((?[X]:(wise(X)))<=>(?[X]:((curious(X)|~humb... | brave(susan) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1066299148174910024443381
% SZS output start Proof for 1066299148174910024443381
13. ! [X0] : ((old(X0) | patient(X0)) <=> ~patient(X0)) [input p12]
14. ? [X0] : (~old(X0) & rich(X0)) <=> brave(susan) [input p13]
24. brave(susan) [input hypothesis]
57. ! [X0] : (((old(X0) | patient(X0)) |... | 0 |
Everyone who is kind is either quiet or not happy.
If fred is either wise or creative then alice is strong and vice versa.
If lucy is either not rich or brave then someone is not tall and vice versa.
Everyone who is wise or not patient is either strong or not humble.
If someone is either not creative or creative then s... | Alice is generous. | contradiction | (![X]:(kind(X)=>(quiet(X)<~>~happy(X))))&
(((wise(fred)<~>creative(fred)))<=>(strong(alice)))&
(((~rich(lucy)<~>brave(lucy)))<=>(?[X]:(~tall(X))))&
(![X]:((wise(X)|~patient(X))=>(strong(X)<~>~humble(X))))&
((?[X]:((~creative(X)<~>creative(X))))=>(?[X]:((old(X)&~funny(X)))))&
(![X]:((~happy(X)<~>~wise(X))<=>(~quiet(X)|~... | generous(alice) | [
"p6",
"p7",
"p8",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4545448961519133157272603
% SZS output start Proof for 4545448961519133157272603
7. ? [X0] : (~brave(X0) <~> happy(X0)) => (~rich(paul) & rich(paul)) [input p6]
8. ! [X0] : ((generous(X0) | calm(X0)) <=> (~brave(X0) & rich(X0))) [input p7]
9. ! [X0] : ((~happy(X0) | curious(X0)) <=> (~hum... | 0 |
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