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. Everyone who is patient is both brave and funny and vice versa. Everyone who is wise is both creative and not strong and vice versa. Everyone who is either calm or not quiet is quiet and vice versa. Everyone who is either not kind or old is either not funny or happy a... | Susan is old. | entailment | (![X]:((rich(X)<~>patient(X))=>generous(X)))&
(![X]:(patient(X)<=>(brave(X)&funny(X))))&
(![X]:(wise(X)<=>(creative(X)&~strong(X))))&
(![X]:((calm(X)<~>~quiet(X))<=>quiet(X)))&
(![X]:((~kind(X)<~>old(X))<=>(~funny(X)<~>happy(X))))&
(((~funny(susan)&~happy(susan)))<=>((~rich(susan)|~quiet(susan))))&
(![X]:(creative(X)=>... | old(susan) | [
"p3",
"p5",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 651248055170971140961162
% SZS output start Proof for 651248055170971140961162
4. ! [X0] : ((calm(X0) <~> ~quiet(X0)) <=> quiet(X0)) [input p3]
6. (~happy(susan) & ~funny(susan)) <=> (~quiet(susan) | ~rich(susan)) [input p5]
10. ? [X0] : ~kind(X0) <=> old(susan) [input p9]
11. ! [X0] : ((... | 0 |
If someone is not rich or not tall then susan is not quiet.
If someone is not strong then someone is either happy or calm.
Everyone who is humble or not humble is both not creative and curious.
Everyone who is patient is either not old or not creative and vice versa.
Everyone who is strong or happy is strong or not hap... | Alice is kind. | entailment | ((?[X]:((~rich(X)|~tall(X))))=>(~quiet(susan)))&
((?[X]:(~strong(X)))=>(?[X]:((happy(X)<~>calm(X)))))&
(![X]:((humble(X)|~humble(X))=>(~creative(X)&curious(X))))&
(![X]:(patient(X)<=>(~old(X)<~>~creative(X))))&
(![X]:((strong(X)|happy(X))<=>(strong(X)|~happy(X))))&
((?[X]:(generous(X)))=>(?[X]:((~rich(X)&calm(X)))))&
(... | kind(alice) | [
"p0",
"p4",
"p5",
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 5984935376361422752533454
% SZS output start Proof for 5984935376361422752533454
1. ? [X0] : (~tall(X0) | ~rich(X0)) => ~quiet(susan) [input p0]
5. ! [X0] : ((happy(X0) | strong(X0)) <=> (~happy(X0) | strong(X0))) [input p4]
6. ? [X0] : generous(X0) => ? [X0] : (calm(X0) & ~rich(X0)) [inp... | 0 |
Everyone who is either calm or not tall is both not funny and not rich.
Everyone who is old or creative is both calm and not strong and vice versa.
If someone is tall or calm then someone is not rich or not old.
If someone is not funny or generous then someone is both wise and old and vice versa.
Everyone who is quiet ... | Fred is not funny. | neutral | (![X]:((calm(X)<~>~tall(X))=>(~funny(X)&~rich(X))))&
(![X]:((old(X)|creative(X))<=>(calm(X)&~strong(X))))&
((?[X]:((tall(X)|calm(X))))=>(?[X]:((~rich(X)|~old(X)))))&
((?[X]:((~funny(X)|generous(X))))<=>(?[X]:((wise(X)&old(X)))))&
(![X]:((quiet(X)|~tall(X))=>(humble(X)&~brave(X))))&
((?[X]:(~strong(X)))<=>(generous(alic... | ~funny(fred) | [] | null | 0 |
If susan is not calm or happy then susan is either curious or not humble and vice versa. If lucy is both not funny and not calm then someone is either strong or funny and vice versa. If fred is either not old or strong then susan is creative and vice versa. Everyone who is not kind or not funny is not quiet or not funn... | Paul is not patient. | entailment | (((~calm(susan)|happy(susan)))<=>((curious(susan)<~>~humble(susan))))&
(((~funny(lucy)&~calm(lucy)))<=>(?[X]:((strong(X)<~>funny(X)))))&
(((~old(fred)<~>strong(fred)))<=>(creative(susan)))&
(![X]:((~kind(X)|~funny(X))<=>(~quiet(X)|~funny(X))))&
(((~calm(paul)|~brave(paul)))<=>(?[X]:(~rich(X))))&
((?[X]:((curious(X)|~ge... | ~patient(paul) | [
"p7",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 749118114017836410155922
% SZS output start Proof for 749118114017836410155922
8. (~kind(paul) | patient(paul)) <=> old(paul) [input p7]
12. ! [X0] : (old(X0) <=> (patient(X0) <~> funny(X0))) [input p11]
20. funny(paul) & ~rich(paul) [input p19]
25. patient(paul) [input hypothesis]
49. ((... | 0 |
Everyone who is either humble or brave is either happy or not old and vice versa.
If someone is calm or old then someone is either curious or not brave and vice versa.
Everyone who is not old is not happy or happy and vice versa.
If susan is tall or not strong then alice is both not tall and wise.
If someone is either ... | Susan is creative. | neutral | (![X]:((humble(X)<~>brave(X))<=>(happy(X)<~>~old(X))))&
((?[X]:((calm(X)|old(X))))<=>(?[X]:((curious(X)<~>~brave(X)))))&
(![X]:(~old(X)<=>(~happy(X)|happy(X))))&
(((tall(susan)|~strong(susan)))=>((~tall(alice)&wise(alice))))&
((?[X]:((~humble(X)<~>quiet(X))))<=>((wise(john)|patient(john))))&
(((~wise(fred)|brave(fred))... | creative(susan) | [] | null | 0 |
If someone is not strong or not quiet then someone is not funny or not brave. If alice is not wise or calm then someone is not quiet or old. Everyone who is both happy and curious is either not tall or not curious and vice versa. If mary is both wise and humble then someone is either old or generous. If someone is eith... | Fred is curious. | contradiction | ((?[X]:((~strong(X)|~quiet(X))))=>(?[X]:((~funny(X)|~brave(X)))))&
(((~wise(alice)|calm(alice)))=>(?[X]:((~quiet(X)|old(X)))))&
(![X]:((happy(X)&curious(X))<=>(~tall(X)<~>~curious(X))))&
(((wise(mary)&humble(mary)))=>(?[X]:((old(X)<~>generous(X)))))&
((?[X]:((humble(X)<~>patient(X))))=>(?[X]:((~kind(X)<~>~tall(X)))))&
... | curious(fred) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1861732168636252749696571
% SZS output start Proof for 1861732168636252749696571
14. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> (happy(X0) & ~curious(X0))) [input p13]
23. curious(fred) [input hypothesis]
76. ! [X0] : ((((~calm(X0) | calm(X0)) & (calm(X0) | ~calm(X0))) | (~happy(X0) | curious... | 0 |
If alice is both kind and not rich then someone is not wise or quiet.
Everyone who is either funny or not kind is not rich or not old and vice versa.
Everyone who is not calm or calm is not rich or not quiet.
If someone is generous then someone is not kind and vice versa.
If alice is both curious and calm then someone ... | Paul is tall. | entailment | (((kind(alice)&~rich(alice)))=>(?[X]:((~wise(X)|quiet(X)))))&
(![X]:((funny(X)<~>~kind(X))<=>(~rich(X)|~old(X))))&
(![X]:((~calm(X)|calm(X))=>(~rich(X)|~quiet(X))))&
((?[X]:(generous(X)))<=>(?[X]:(~kind(X))))&
(((curious(alice)&calm(alice)))<=>(?[X]:(~tall(X))))&
(![X]:(~curious(X)=>(strong(X)<~>creative(X))))&
(((~hap... | tall(paul) | [
"p1",
"p4",
"p10",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7138470840383496607626177
% SZS output start Proof for 7138470840383496607626177
2. ! [X0] : ((funny(X0) <~> ~kind(X0)) <=> (~old(X0) | ~rich(X0))) [input p1]
5. (calm(alice) & curious(alice)) <=> ? [X0] : ~tall(X0) [input p4]
11. ! [X0] : ((happy(X0) | calm(X0)) => ~funny(X0)) [input p10... | 0 |
If someone is both patient and not calm then someone is both tall and not tall. If someone is funny then alice is strong or not generous. Everyone who is not strong or kind is both calm and not old. Everyone who is not brave or not strong is old or wise. If someone is not curious or old then someone is not quiet. If so... | Alice is curious. | neutral | ((?[X]:((patient(X)&~calm(X))))=>(?[X]:((tall(X)&~tall(X)))))&
((?[X]:(funny(X)))=>((strong(alice)|~generous(alice))))&
(![X]:((~strong(X)|kind(X))=>(calm(X)&~old(X))))&
(![X]:((~brave(X)|~strong(X))=>(old(X)|wise(X))))&
((?[X]:((~curious(X)|old(X))))=>(?[X]:(~quiet(X))))&
((?[X]:(wise(X)))=>((~patient(paul)|curious(pa... | curious(alice) | [] | null | 0 |
If paul is both patient and not calm then someone is tall or generous and vice versa. Everyone who is either wise or not funny is both not happy and funny and vice versa. If someone is both not funny and brave then someone is both not patient and happy. Everyone who is not strong is funny or tall and vice versa. If pau... | Alice is not humble. | neutral | (((patient(paul)&~calm(paul)))<=>(?[X]:((tall(X)|generous(X)))))&
(![X]:((wise(X)<~>~funny(X))<=>(~happy(X)&funny(X))))&
((?[X]:((~funny(X)&brave(X))))=>(?[X]:((~patient(X)&happy(X)))))&
(![X]:(~strong(X)<=>(funny(X)|tall(X))))&
(((happy(paul)|~brave(paul)))<=>(tall(lucy)))&
(![X]:((curious(X)&humble(X))<=>(curious(X)<... | ~humble(alice) | [] | null | 0 |
Everyone who is either kind or creative is both not rich and not wise and vice versa.
Everyone who is rich or humble is funny and vice versa.
Everyone who is quiet or not tall is funny or not quiet and vice versa.
If someone is either curious or not creative then someone is both calm and not brave and vice versa.
If so... | Susan is not curious. | contradiction | (![X]:((kind(X)<~>creative(X))<=>(~rich(X)&~wise(X))))&
(![X]:((rich(X)|humble(X))<=>funny(X)))&
(![X]:((quiet(X)|~tall(X))<=>(funny(X)|~quiet(X))))&
((?[X]:((curious(X)<~>~creative(X))))<=>(?[X]:((calm(X)&~brave(X)))))&
((?[X]:((kind(X)|generous(X))))<=>(?[X]:((quiet(X)&~funny(X)))))&
((?[X]:((old(X)<~>quiet(X))))=>((... | ~curious(susan) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8577592173632942993147566
% SZS output start Proof for 8577592173632942993147566
2. ! [X0] : ((humble(X0) | rich(X0)) <=> funny(X0)) [input p1]
3. ! [X0] : ((~tall(X0) | quiet(X0)) <=> (~quiet(X0) | funny(X0))) [input p2]
5. ? [X0] : (generous(X0) | kind(X0)) <=> ? [X0] : (~funny(X0) & qu... | 0 |
Everyone who is funny or not calm is both not quiet and humble. If someone is either not strong or not creative then fred is either creative or not old. Everyone who is both not curious and old is kind and vice versa. Everyone who is quiet or calm is not curious and vice versa. Everyone who is not humble is calm. Every... | Mary is not happy. | neutral | (![X]:((funny(X)|~calm(X))=>(~quiet(X)&humble(X))))&
((?[X]:((~strong(X)<~>~creative(X))))=>((creative(fred)<~>~old(fred))))&
(![X]:((~curious(X)&old(X))<=>kind(X)))&
(![X]:((quiet(X)|calm(X))<=>~curious(X)))&
(![X]:(~humble(X)=>calm(X)))&
(![X]:((patient(X)&funny(X))=>(curious(X)|rich(X))))&
(![X]:((~rich(X)|patient(X... | ~happy(mary) | [] | null | 0 |
Everyone who is not patient is both not funny and not brave.
Everyone who is both not creative and not generous is not quiet.
If alice is not generous or strong then mary is calm and vice versa.
If someone is not creative then lucy is both not calm and not kind and vice versa.
Everyone who is both calm and creative is ... | Lucy is not patient. | contradiction | (![X]:(~patient(X)=>(~funny(X)&~brave(X))))&
(![X]:((~creative(X)&~generous(X))=>~quiet(X)))&
(((~generous(alice)|strong(alice)))<=>(calm(mary)))&
((?[X]:(~creative(X)))<=>((~calm(lucy)&~kind(lucy))))&
(![X]:((calm(X)&creative(X))=>(tall(X)<~>creative(X))))&
((?[X]:(funny(X)))<=>((~kind(mary)<~>old(mary))))&
(![X]:((ol... | ~patient(lucy) | [
"p0",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 6100128215155951779278438
% SZS output start Proof for 6100128215155951779278438
1. ! [X0] : (~patient(X0) => (~brave(X0) & ~funny(X0))) [input p0]
22. brave(lucy) & kind(lucy) [input p21]
24. ~patient(lucy) [input hypothesis]
26. ! [X0] : ((~brave(X0) & ~funny(X0)) | patient(X0)) [ennf t... | 0 |
Everyone who is happy is either not quiet or generous and vice versa.
Everyone who is either old or not brave is not humble or patient.
Everyone who is either not strong or not humble is either wise or not happy.
Everyone who is both kind and patient is quiet and vice versa.
Everyone who is either not funny or not rich... | Lucy is not happy. | neutral | (![X]:(happy(X)<=>(~quiet(X)<~>generous(X))))&
(![X]:((old(X)<~>~brave(X))=>(~humble(X)|patient(X))))&
(![X]:((~strong(X)<~>~humble(X))=>(wise(X)<~>~happy(X))))&
(![X]:((kind(X)&patient(X))<=>quiet(X)))&
(![X]:((~funny(X)<~>~rich(X))=>(~wise(X)|~creative(X))))&
(![X]:((curious(X)|brave(X))<=>(generous(X)&~happy(X))))&
... | ~happy(lucy) | [] | null | 0 |
If someone is calm or not calm then paul is not patient or not calm and vice versa. Everyone who is not creative or not quiet is either not tall or brave. Everyone who is not patient is creative and vice versa. Everyone who is creative is either funny or not generous and vice versa. If someone is both patient and not c... | Paul is not calm. | neutral | ((?[X]:((calm(X)|~calm(X))))<=>((~patient(paul)|~calm(paul))))&
(![X]:((~creative(X)|~quiet(X))=>(~tall(X)<~>brave(X))))&
(![X]:(~patient(X)<=>creative(X)))&
(![X]:(creative(X)<=>(funny(X)<~>~generous(X))))&
((?[X]:((patient(X)&~curious(X))))<=>(?[X]:(happy(X))))&
(![X]:((generous(X)&~patient(X))<=>(~strong(X)|~patient... | ~calm(paul) | [] | null | 0 |
Everyone who is either quiet or brave is both not wise and brave.
If fred is tall then paul is not brave or not tall.
Everyone who is not quiet or not wise is funny.
If alice is quiet or not humble then someone is happy and vice versa.
Everyone who is not calm or strong is both not creative and not happy and vice versa... | Paul is not tall. | neutral | (![X]:((quiet(X)<~>brave(X))=>(~wise(X)&brave(X))))&
((tall(fred))=>((~brave(paul)|~tall(paul))))&
(![X]:((~quiet(X)|~wise(X))=>funny(X)))&
(((quiet(alice)|~humble(alice)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|strong(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((humble(X)|~calm(X))))=>(?[X]:((generous(X)&~humble(X)))))&... | ~tall(paul) | [] | null | 0 |
If mary is both not happy and rich then someone is either not quiet or kind and vice versa.
Everyone who is calm or humble is not strong or patient.
Everyone who is either patient or not humble is not patient or not quiet.
Everyone who is either not curious or not brave is rich or not tall and vice versa.
If mary is bo... | Mary is not humble. | entailment | (((~happy(mary)&rich(mary)))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(![X]:((calm(X)|humble(X))=>(~strong(X)|patient(X))))&
(![X]:((patient(X)<~>~humble(X))=>(~patient(X)|~quiet(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(rich(X)|~tall(X))))&
(((~creative(mary)&~humble(mary)))=>(?[X]:(rich(X))))&
(![X]:((kind(X)&quiet(X))<=>... | ~humble(mary) | [
"p2",
"p5",
"p7",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4998770283085119814552572
% SZS output start Proof for 4998770283085119814552572
3. ! [X0] : ((patient(X0) <~> ~humble(X0)) => (~quiet(X0) | ~patient(X0))) [input p2]
6. ! [X0] : ((quiet(X0) & kind(X0)) <=> (rich(X0) | tall(X0))) [input p5]
8. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> (~ge... | 0 |
Everyone who is both old and not strong is either not wise or creative.
If someone is both not generous and patient then someone is both kind and not kind.
If fred is both wise and generous then paul is either funny or creative and vice versa.
If someone is both happy and patient then mary is wise or generous and vice ... | John is rich. | contradiction | (![X]:((old(X)&~strong(X))=>(~wise(X)<~>creative(X))))&
((?[X]:((~generous(X)&patient(X))))=>(?[X]:((kind(X)&~kind(X)))))&
(((wise(fred)&generous(fred)))<=>((funny(paul)<~>creative(paul))))&
((?[X]:((happy(X)&patient(X))))<=>((wise(mary)|generous(mary))))&
(![X]:((generous(X)&~quiet(X))<=>~old(X)))&
(![X]:(~curious(X)=... | rich(john) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3975667261792526298638744
% SZS output start Proof for 3975667261792526298638744
5. ! [X0] : ((~quiet(X0) & generous(X0)) <=> ~old(X0)) [input p4]
9. ! [X0] : ((old(X0) | creative(X0)) => ~quiet(X0)) [input p8]
15. ! [X0] : ((~rich(X0) | ~quiet(X0)) <=> (quiet(X0) <~> ~rich(X0))) [input p... | 0 |
If someone is calm then someone is either not brave or not tall and vice versa.
Everyone who is both not quiet and patient is not patient or old and vice versa.
If mary is either humble or not rich then susan is both calm and happy and vice versa.
Everyone who is tall is either not old or generous and vice versa.
Every... | Alice is old. | contradiction | ((?[X]:(calm(X)))<=>(?[X]:((~brave(X)<~>~tall(X)))))&
(![X]:((~quiet(X)&patient(X))<=>(~patient(X)|old(X))))&
(((humble(mary)<~>~rich(mary)))<=>((calm(susan)&happy(susan))))&
(![X]:(tall(X)<=>(~old(X)<~>generous(X))))&
(![X]:((patient(X)|calm(X))<=>(~rich(X)<~>~strong(X))))&
(((~funny(lucy)<~>~generous(lucy)))=>(?[X]:(... | old(alice) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7738009672470165970988064
% SZS output start Proof for 7738009672470165970988064
2. ! [X0] : ((patient(X0) & ~quiet(X0)) <=> (old(X0) | ~patient(X0))) [input p1]
12. ! [X0] : ((funny(X0) | old(X0)) => (quiet(X0) & ~brave(X0))) [input p11]
23. old(alice) [input hypothesis]
31. ! [X0] : ((q... | 0 |
If alice is not humble or curious then someone is either creative or strong.
Everyone who is funny is not old or calm and vice versa.
If lucy is creative then someone is either happy or rich.
If paul is not tall then paul is either kind or not generous and vice versa.
If someone is generous then someone is both not old... | Paul is tall. | contradiction | (((~humble(alice)|curious(alice)))=>(?[X]:((creative(X)<~>strong(X)))))&
(![X]:(funny(X)<=>(~old(X)|calm(X))))&
((creative(lucy))=>(?[X]:((happy(X)<~>rich(X)))))&
((~tall(paul))<=>((kind(paul)<~>~generous(paul))))&
((?[X]:(generous(X)))=>(?[X]:((~old(X)&tall(X)))))&
(![X]:((~creative(X)&calm(X))<=>(~humble(X)<~>~genero... | tall(paul) | [
"p3",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8795825133317011668753621
% SZS output start Proof for 8795825133317011668753621
4. ~tall(paul) <=> (kind(paul) <~> ~generous(paul)) [input p3]
10. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (~kind(X0) & tall(X0))) [input p9]
15. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> (~rich(X0) & happy(X0)))... | 0 |
Everyone who is not strong or calm is calm or not curious. If someone is not rich or creative then mary is not rich or creative and vice versa. Everyone who is not creative or not funny is either not happy or not creative and vice versa. If lucy is quiet or rich then alice is rich or quiet. Everyone who is either not f... | Lucy is old. | neutral | (![X]:((~strong(X)|calm(X))=>(calm(X)|~curious(X))))&
((?[X]:((~rich(X)|creative(X))))<=>((~rich(mary)|creative(mary))))&
(![X]:((~creative(X)|~funny(X))<=>(~happy(X)<~>~creative(X))))&
(((quiet(lucy)|rich(lucy)))=>((rich(alice)|quiet(alice))))&
(![X]:((~funny(X)<~>~patient(X))<=>calm(X)))&
(![X]:((~patient(X)|~funny(X... | old(lucy) | [] | null | 0 |
Everyone who is either creative or kind is both curious and not generous and vice versa.
Everyone who is either tall or not humble is either brave or not calm and vice versa.
Everyone who is either creative or not funny is humble.
Everyone who is happy or wise is both not calm and not patient.
If alice is happy then fr... | Mary is strong. | entailment | (![X]:((creative(X)<~>kind(X))<=>(curious(X)&~generous(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(brave(X)<~>~calm(X))))&
(![X]:((creative(X)<~>~funny(X))=>humble(X)))&
(![X]:((happy(X)|wise(X))=>(~calm(X)&~patient(X))))&
((happy(alice))=>((~patient(fred)|~creative(fred))))&
((?[X]:((~funny(X)<~>curious(X))))=>(?[X]:((ric... | strong(mary) | [
"p2",
"p7",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 642346500126072865683677
% SZS output start Proof for 642346500126072865683677
3. ! [X0] : ((creative(X0) <~> ~funny(X0)) => humble(X0)) [input p2]
8. ! [X0] : ((~calm(X0) & strong(X0)) <=> humble(X0)) [input p7]
9. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~curious(X0) <~> ~creative(X0))... | 0 |
Everyone who is both brave and not curious is kind and vice versa.
If someone is not brave or calm then someone is not brave or kind and vice versa.
Everyone who is either not calm or not kind is calm and vice versa.
If someone is happy or not calm then john is either not generous or old and vice versa.
Everyone who is... | Mary is happy. | entailment | (![X]:((brave(X)&~curious(X))<=>kind(X)))&
((?[X]:((~brave(X)|calm(X))))<=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~calm(X)<~>~kind(X))<=>calm(X)))&
((?[X]:((happy(X)|~calm(X))))<=>((~generous(john)<~>old(john))))&
(![X]:(~funny(X)=>~tall(X)))&
((?[X]:((kind(X)&~tall(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
(![X]:(~... | happy(mary) | [
"p2",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8897414903405673370891663
% SZS output start Proof for 8897414903405673370891663
3. ! [X0] : ((~calm(X0) <~> ~kind(X0)) <=> calm(X0)) [input p2]
9. ! [X0] : (happy(X0) <=> (happy(X0) | quiet(X0))) [input p8]
23. ~quiet(mary) <~> ~kind(mary) [input p22]
25. ~happy(mary) [input hypothesis]
... | 0 |
If john is both not humble and not brave then fred is both not humble and wise and vice versa. If mary is both creative and not happy then mary is either brave or curious. If someone is humble then paul is either calm or kind and vice versa. Everyone who is not humble is patient. Everyone who is both not patient and no... | Alice is humble. | contradiction | (((~humble(john)&~brave(john)))<=>((~humble(fred)&wise(fred))))&
(((creative(mary)&~happy(mary)))=>((brave(mary)<~>curious(mary))))&
((?[X]:(humble(X)))<=>((calm(paul)<~>kind(paul))))&
(![X]:(~humble(X)=>patient(X)))&
(![X]:((~patient(X)&~humble(X))=>(generous(X)<~>~generous(X))))&
((?[X]:((~patient(X)&old(X))))=>(?[X]... | humble(alice) | [
"p6",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6884390573736849475505721
% SZS output start Proof for 6884390573736849475505721
7. ! [X0] : (~wise(X0) <=> tall(X0)) [input p6]
10. ! [X0] : ((tall(X0) | funny(X0)) <=> tall(X0)) [input p9]
11. ! [X0] : ((~funny(X0) | ~old(X0)) => (~quiet(X0) & ~humble(X0))) [input p10]
15. ? [X0] : (fun... | 0 |
If someone is old or brave then someone is not tall or patient and vice versa. If someone is both not quiet and happy then alice is both not strong and not calm. If someone is both not calm and not humble then someone is not calm. Everyone who is either not creative or not rich is both quiet and not old and vice versa.... | Alice is strong. | neutral | ((?[X]:((old(X)|brave(X))))<=>(?[X]:((~tall(X)|patient(X)))))&
((?[X]:((~quiet(X)&happy(X))))=>((~strong(alice)&~calm(alice))))&
((?[X]:((~calm(X)&~humble(X))))=>(?[X]:(~calm(X))))&
(![X]:((~creative(X)<~>~rich(X))<=>(quiet(X)&~old(X))))&
((?[X]:(generous(X)))<=>((happy(mary)|quiet(mary))))&
((?[X]:((~curious(X)<~>~pat... | strong(alice) | [] | null | 0 |
Everyone who is curious or not kind is not calm.
Everyone who is not kind or funny is either not rich or quiet.
Everyone who is not creative or not happy is either not kind or tall and vice versa.
Everyone who is either not humble or brave is not tall or not wise.
Everyone who is both calm and tall is not wise and vice... | Susan is not brave. | neutral | (![X]:((curious(X)|~kind(X))=>~calm(X)))&
(![X]:((~kind(X)|funny(X))=>(~rich(X)<~>quiet(X))))&
(![X]:((~creative(X)|~happy(X))<=>(~kind(X)<~>tall(X))))&
(![X]:((~humble(X)<~>brave(X))=>(~tall(X)|~wise(X))))&
(![X]:((calm(X)&tall(X))<=>~wise(X)))&
(![X]:((~humble(X)<~>~creative(X))=>~generous(X)))&
(![X]:((~strong(X)&~c... | ~brave(susan) | [] | null | 0 |
Everyone who is both not rich and not generous is not rich or wise. Everyone who is either not humble or kind is both wise and humble and vice versa. If susan is not brave or strong then someone is both wise and not strong and vice versa. Everyone who is not calm is not old and vice versa. Everyone who is both not quie... | Susan is not wise. | neutral | (![X]:((~rich(X)&~generous(X))=>(~rich(X)|wise(X))))&
(![X]:((~humble(X)<~>kind(X))<=>(wise(X)&humble(X))))&
(((~brave(susan)|strong(susan)))<=>(?[X]:((wise(X)&~strong(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:((~quiet(X)&creative(X))=>(tall(X)|strong(X))))&
(((curious(mary)|tall(mary)))=>(~old(lucy)))&
(((calm(paul)|... | ~wise(susan) | [] | null | 0 |
If paul is rich or not curious then paul is not old or calm.
If john is not wise then fred is both creative and calm and vice versa.
Everyone who is both not curious and not quiet is either not tall or not rich.
If mary is either generous or not creative then susan is either brave or not strong and vice versa.
Everyone... | Paul is not creative. | neutral | (((rich(paul)|~curious(paul)))=>((~old(paul)|calm(paul))))&
((~wise(john))<=>((creative(fred)&calm(fred))))&
(![X]:((~curious(X)&~quiet(X))=>(~tall(X)<~>~rich(X))))&
(((generous(mary)<~>~creative(mary)))<=>((brave(susan)<~>~strong(susan))))&
(![X]:((~funny(X)&patient(X))=>(rich(X)&tall(X))))&
(![X]:(brave(X)=>(~creativ... | ~creative(paul) | [] | null | 0 |
Everyone who is not happy or brave is both kind and quiet.
If mary is either not old or kind then fred is rich.
Everyone who is either calm or not curious is happy.
If someone is both not humble and not kind then paul is not creative or not old.
If someone is strong or not rich then someone is either not rich or not ki... | John is humble. | contradiction | (![X]:((~happy(X)|brave(X))=>(kind(X)&quiet(X))))&
(((~old(mary)<~>kind(mary)))=>(rich(fred)))&
(![X]:((calm(X)<~>~curious(X))=>happy(X)))&
((?[X]:((~humble(X)&~kind(X))))=>((~creative(paul)|~old(paul))))&
((?[X]:((strong(X)|~rich(X))))<=>(?[X]:((~rich(X)<~>~kind(X)))))&
(![X]:((quiet(X)&~creative(X))<=>(tall(X)|strong... | humble(john) | [
"p0",
"p6",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3612261255648892517131128
% SZS output start Proof for 3612261255648892517131128
1. ! [X0] : ((brave(X0) | ~happy(X0)) => (quiet(X0) & kind(X0))) [input p0]
7. ! [X0] : ((~funny(X0) & old(X0)) <=> (~funny(X0) | ~generous(X0))) [input p6]
11. ! [X0] : ((wise(X0) & ~happy(X0)) <=> (creative... | 0 |
Everyone who is either not rich or generous is not kind or not quiet.
Everyone who is funny or not generous is brave or curious and vice versa.
If alice is both not curious and not brave then someone is either calm or not strong and vice versa.
If someone is both funny and wise then someone is either patient or not old... | Mary is kind. | neutral | (![X]:((~rich(X)<~>generous(X))=>(~kind(X)|~quiet(X))))&
(![X]:((funny(X)|~generous(X))<=>(brave(X)|curious(X))))&
(((~curious(alice)&~brave(alice)))<=>(?[X]:((calm(X)<~>~strong(X)))))&
((?[X]:((funny(X)&wise(X))))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:((old(X)<~>~strong(X))<=>kind(X)))&
(![X]:(~old(X)<=>(kind(X)&~c... | kind(mary) | [] | null | 0 |
Everyone who is either old or tall is both not funny and quiet. Everyone who is strong or not calm is either strong or not old and vice versa. Everyone who is both calm and brave is wise or generous and vice versa. If fred is both tall and not calm then someone is both wise and kind. Everyone who is both creative and n... | Susan is wise. | contradiction | (![X]:((old(X)<~>tall(X))=>(~funny(X)&quiet(X))))&
(![X]:((strong(X)|~calm(X))<=>(strong(X)<~>~old(X))))&
(![X]:((calm(X)&brave(X))<=>(wise(X)|generous(X))))&
(((tall(fred)&~calm(fred)))=>(?[X]:((wise(X)&kind(X)))))&
(![X]:((creative(X)&~kind(X))<=>(wise(X)&brave(X))))&
(![X]:((~tall(X)<~>funny(X))=>rich(X)))&
(((gener... | wise(susan) | [
"p1",
"p2",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 539067158042222978111591
% SZS output start Proof for 539067158042222978111591
2. ! [X0] : ((~calm(X0) | strong(X0)) <=> (strong(X0) <~> ~old(X0))) [input p1]
3. ! [X0] : ((brave(X0) & calm(X0)) <=> (generous(X0) | wise(X0))) [input p2]
8. ! [X0] : ((generous(X0) | quiet(X0)) <=> (~brave(... | 0 |
Everyone who is either kind or not strong is either not generous or kind.
Everyone who is both not humble and quiet is calm or not rich.
If mary is either quiet or not happy then mary is both rich and creative and vice versa.
If someone is either brave or not funny then someone is both strong and not tall and vice vers... | Mary is creative. | entailment | (![X]:((kind(X)<~>~strong(X))=>(~generous(X)<~>kind(X))))&
(![X]:((~humble(X)&quiet(X))=>(calm(X)|~rich(X))))&
(((quiet(mary)<~>~happy(mary)))<=>((rich(mary)&creative(mary))))&
((?[X]:((brave(X)<~>~funny(X))))<=>(?[X]:((strong(X)&~tall(X)))))&
(![X]:((funny(X)&happy(X))=>(tall(X)|~kind(X))))&
((?[X]:(curious(X)))=>((ri... | creative(mary) | [
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1952208179988469515210103
% SZS output start Proof for 1952208179988469515210103
13. ! [X0] : ((~old(X0) | quiet(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p12]
16. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~quiet(X0) & brave(X0))) [input p15]
23. strong(mary) [input p22]
25. ~creative(... | 0 |
If alice is either not tall or not strong then someone is not old and vice versa.
Everyone who is both not tall and rich is both strong and not curious and vice versa.
Everyone who is both patient and not wise is kind.
Everyone who is either not strong or generous is either not creative or not happy and vice versa.
If ... | Paul is not wise. | neutral | (((~tall(alice)<~>~strong(alice)))<=>(?[X]:(~old(X))))&
(![X]:((~tall(X)&rich(X))<=>(strong(X)&~curious(X))))&
(![X]:((patient(X)&~wise(X))=>kind(X)))&
(![X]:((~strong(X)<~>generous(X))<=>(~creative(X)<~>~happy(X))))&
((?[X]:((strong(X)|~tall(X))))<=>((~quiet(fred)|tall(fred))))&
((?[X]:((~funny(X)&generous(X))))<=>((f... | ~wise(paul) | [] | null | 0 |
Everyone who is both not kind and not tall is not happy or calm.
If lucy is rich or humble then lucy is not rich or not patient.
Everyone who is not wise or not happy is not curious or rich.
Everyone who is not strong is funny or brave and vice versa.
Everyone who is not tall or old is not wise and vice versa.
If alice... | Fred is wise. | entailment | (![X]:((~kind(X)&~tall(X))=>(~happy(X)|calm(X))))&
(((rich(lucy)|humble(lucy)))=>((~rich(lucy)|~patient(lucy))))&
(![X]:((~wise(X)|~happy(X))=>(~curious(X)|rich(X))))&
(![X]:(~strong(X)<=>(funny(X)|brave(X))))&
(![X]:((~tall(X)|old(X))<=>~wise(X)))&
(((creative(alice)&tall(alice)))<=>(?[X]:((funny(X)|~generous(X)))))&
... | wise(fred) | [
"p2",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6602176723458026260162156
% SZS output start Proof for 6602176723458026260162156
3. ! [X0] : ((~happy(X0) | ~wise(X0)) => (rich(X0) | ~curious(X0))) [input p2]
8. ! [X0] : ((tall(X0) & curious(X0)) <=> rich(X0)) [input p7]
14. ! [X0] : ((curious(X0) <~> wise(X0)) <=> ~rich(X0)) [input p13... | 0 |
Everyone who is either rich or not creative is not calm or not patient. If someone is both calm and not creative then someone is not kind and vice versa. Everyone who is kind is both kind and not old. If someone is both not old and tall then someone is either brave or humble and vice versa. If alice is both funny and n... | Lucy is kind. | contradiction | (![X]:((rich(X)<~>~creative(X))=>(~calm(X)|~patient(X))))&
((?[X]:((calm(X)&~creative(X))))<=>(?[X]:(~kind(X))))&
(![X]:(kind(X)=>(kind(X)&~old(X))))&
((?[X]:((~old(X)&tall(X))))<=>(?[X]:((brave(X)<~>humble(X)))))&
(((funny(alice)&~brave(alice)))=>((~strong(fred)|~rich(fred))))&
(![X]:((calm(X)<~>quiet(X))<=>(~generous... | kind(lucy) | [
"p6",
"p8",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2985717808316089908164737
% SZS output start Proof for 2985717808316089908164737
7. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> (wise(X0) & ~brave(X0))) [input p6]
9. ! [X0] : (quiet(X0) <=> (~calm(X0) & ~creative(X0))) [input p8]
12. ! [X0] : ((kind(X0) | generous(X0)) <=> creative(X0)) [inpu... | 0 |
Everyone who is either not strong or not kind is not rich.
Everyone who is humble is curious.
If someone is not strong or not funny then someone is not happy or not generous and vice versa.
If someone is either old or calm then paul is not wise or creative.
If alice is both not old and old then someone is brave or not ... | Mary is curious. | neutral | (![X]:((~strong(X)<~>~kind(X))=>~rich(X)))&
(![X]:(humble(X)=>curious(X)))&
((?[X]:((~strong(X)|~funny(X))))<=>(?[X]:((~happy(X)|~generous(X)))))&
((?[X]:((old(X)<~>calm(X))))=>((~wise(paul)|creative(paul))))&
(((~old(alice)&old(alice)))<=>(?[X]:((brave(X)|~tall(X)))))&
((?[X]:((kind(X)<~>~humble(X))))=>(?[X]:((~calm(X... | curious(mary) | [] | null | 0 |
Everyone who is tall or curious is patient.
Everyone who is both not kind and happy is generous or happy and vice versa.
If someone is calm or curious then fred is both creative and funny.
Everyone who is not happy is patient or not happy.
If fred is both tall and not happy then fred is not strong and vice versa.
If lu... | Fred is not strong. | contradiction | (![X]:((tall(X)|curious(X))=>patient(X)))&
(![X]:((~kind(X)&happy(X))<=>(generous(X)|happy(X))))&
((?[X]:((calm(X)|curious(X))))=>((creative(fred)&funny(fred))))&
(![X]:(~happy(X)=>(patient(X)|~happy(X))))&
(((tall(fred)&~happy(fred)))<=>(~strong(fred)))&
(((~brave(lucy)&~wise(lucy)))<=>(?[X]:((~rich(X)|curious(X)))))&... | ~strong(fred) | [
"p0",
"p1",
"p2",
"p4",
"p7",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1513732524498844611805636
% SZS output start Proof for 1513732524498844611805636
1. ! [X0] : ((curious(X0) | tall(X0)) => patient(X0)) [input p0]
2. ! [X0] : ((happy(X0) & ~kind(X0)) <=> (happy(X0) | generous(X0))) [input p1]
3. ? [X0] : (curious(X0) | calm(X0)) => (funny(fred) & creative... | 0 |
Everyone who is either not patient or not calm is both creative and generous and vice versa.
Everyone who is either funny or tall is both creative and not brave and vice versa.
If someone is not kind then someone is both not wise and not tall.
Everyone who is either generous or rich is either not tall or tall and vice ... | Susan is rich. | entailment | (![X]:((~patient(X)<~>~calm(X))<=>(creative(X)&generous(X))))&
(![X]:((funny(X)<~>tall(X))<=>(creative(X)&~brave(X))))&
((?[X]:(~kind(X)))=>(?[X]:((~wise(X)&~tall(X)))))&
(![X]:((generous(X)<~>rich(X))<=>(~tall(X)<~>tall(X))))&
(((~curious(lucy)&strong(lucy)))<=>(quiet(fred)))&
(![X]:(tall(X)=>(~patient(X)&~humble(X)))... | rich(susan) | [
"p3",
"p5",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7346644534287886324734982
% SZS output start Proof for 7346644534287886324734982
4. ! [X0] : ((generous(X0) <~> rich(X0)) <=> (~tall(X0) <~> tall(X0))) [input p3]
6. ! [X0] : (tall(X0) => (~humble(X0) & ~patient(X0))) [input p5]
13. ! [X0] : ((tall(X0) & ~rich(X0)) <=> quiet(X0)) [input p... | 0 |
If someone is both not happy and not kind then someone is either not happy or brave and vice versa. If alice is either not rich or strong then alice is happy. If paul is both not funny and not kind then susan is not old and vice versa. Everyone who is kind or not funny is both not rich and humble and vice versa. Everyo... | Alice is not old. | entailment | ((?[X]:((~happy(X)&~kind(X))))<=>(?[X]:((~happy(X)<~>brave(X)))))&
(((~rich(alice)<~>strong(alice)))=>(happy(alice)))&
(((~funny(paul)&~kind(paul)))<=>(~old(susan)))&
(![X]:((kind(X)|~funny(X))<=>(~rich(X)&humble(X))))&
(![X]:((~calm(X)|~creative(X))=>(~calm(X)<~>wise(X))))&
(![X]:((tall(X)|calm(X))=>(~tall(X)<~>~creat... | ~old(alice) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2165802297883524985862382
% SZS output start Proof for 2165802297883524985862382
9. ! [X0] : ((~old(X0) & ~rich(X0)) <=> (strong(X0) | ~strong(X0))) [input p8]
25. old(alice) [input hypothesis]
51. ! [X0] : (((~old(X0) & ~rich(X0)) | (~strong(X0) & strong(X0))) & ((strong(X0) | ~strong(X0... | 0 |
If someone is creative then susan is both happy and not creative and vice versa.
If susan is both generous and not brave then someone is both happy and not creative.
Everyone who is not brave or not funny is not curious or not patient.
Everyone who is not brave or kind is not brave or brave and vice versa.
Everyone who... | Mary is happy. | entailment | ((?[X]:(creative(X)))<=>((happy(susan)&~creative(susan))))&
(((generous(susan)&~brave(susan)))=>(?[X]:((happy(X)&~creative(X)))))&
(![X]:((~brave(X)|~funny(X))=>(~curious(X)|~patient(X))))&
(![X]:((~brave(X)|kind(X))<=>(~brave(X)|brave(X))))&
(![X]:((funny(X)|~kind(X))=>(~strong(X)<~>curious(X))))&
((?[X]:(~rich(X)))<=... | happy(mary) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4952821451459824750365772
% SZS output start Proof for 4952821451459824750365772
7. ! [X0] : (~happy(X0) => (tall(X0) & strong(X0))) [input p6]
9. ! [X0] : ((~tall(X0) & ~curious(X0)) <=> tall(X0)) [input p8]
24. ~happy(mary) [input hypothesis]
31. ! [X0] : ((tall(X0) & strong(X0)) | happ... | 0 |
If someone is creative or funny then someone is not strong. Everyone who is both not creative and not wise is curious or brave. If someone is both not wise and not kind then someone is humble or old. If someone is not tall then someone is both not creative and not brave. If someone is not funny then fred is either wise... | Lucy is patient. | contradiction | ((?[X]:((creative(X)|funny(X))))=>(?[X]:(~strong(X))))&
(![X]:((~creative(X)&~wise(X))=>(curious(X)|brave(X))))&
((?[X]:((~wise(X)&~kind(X))))=>(?[X]:((humble(X)|old(X)))))&
((?[X]:(~tall(X)))=>(?[X]:((~creative(X)&~brave(X)))))&
((?[X]:(~funny(X)))<=>((wise(fred)<~>patient(fred))))&
(![X]:(brave(X)<=>(~calm(X)|strong(... | patient(lucy) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5755614823867682798616193
% SZS output start Proof for 5755614823867682798616193
12. ! [X0] : ((funny(X0) & ~brave(X0)) <=> brave(X0)) [input p11]
22. ~patient(lucy) | funny(lucy) [input p21]
24. patient(lucy) [input hypothesis]
69. ! [X0] : (((funny(X0) & ~brave(X0)) | ~brave(X0)) & (bra... | 0 |
If susan is either not old or quiet then someone is quiet or not funny and vice versa.
Everyone who is not quiet is calm and vice versa.
If fred is either kind or not generous then mary is patient.
Everyone who is not calm is both tall and wise.
Everyone who is old is both creative and funny.
Everyone who is both patie... | Susan is not old. | entailment | (((~old(susan)<~>quiet(susan)))<=>(?[X]:((quiet(X)|~funny(X)))))&
(![X]:(~quiet(X)<=>calm(X)))&
(((kind(fred)<~>~generous(fred)))=>(patient(mary)))&
(![X]:(~calm(X)=>(tall(X)&wise(X))))&
(![X]:(old(X)=>(creative(X)&funny(X))))&
(![X]:((patient(X)&tall(X))<=>~happy(X)))&
(![X]:((~quiet(X)<~>~wise(X))<=>(creative(X)&~cal... | ~old(susan) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7716614321307774253912267
% SZS output start Proof for 7716614321307774253912267
1. (~old(susan) <~> quiet(susan)) <=> ? [X0] : (~funny(X0) | quiet(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> calm(X0)) [input p1]
4. ! [X0] : (~calm(X0) => (wise(X0) & tall(X0))) [input p3]
5. ! [X0] : (old... | 0 |
Everyone who is not calm or brave is either not funny or happy and vice versa.
Everyone who is not tall or not quiet is generous and vice versa.
Everyone who is not funny or not strong is wise and vice versa.
Everyone who is either not humble or happy is not generous.
Everyone who is both not curious and not kind is bo... | Mary is not wise. | neutral | (![X]:((~calm(X)|brave(X))<=>(~funny(X)<~>happy(X))))&
(![X]:((~tall(X)|~quiet(X))<=>generous(X)))&
(![X]:((~funny(X)|~strong(X))<=>wise(X)))&
(![X]:((~humble(X)<~>happy(X))=>~generous(X)))&
(![X]:((~curious(X)&~kind(X))<=>(~humble(X)&~happy(X))))&
(![X]:(~humble(X)=>kind(X)))&
(((~humble(mary)|calm(mary)))=>(curious(j... | ~wise(mary) | [] | null | 0 |
If someone is both not humble and humble then alice is either not generous or not happy. Everyone who is funny or not brave is either not brave or not funny and vice versa. If someone is calm or brave then fred is either happy or not quiet and vice versa. If someone is both not funny and creative then someone is either... | Alice is not patient. | contradiction | ((?[X]:((~humble(X)&humble(X))))=>((~generous(alice)<~>~happy(alice))))&
(![X]:((funny(X)|~brave(X))<=>(~brave(X)<~>~funny(X))))&
((?[X]:((calm(X)|brave(X))))<=>((happy(fred)<~>~quiet(fred))))&
((?[X]:((~funny(X)&creative(X))))=>(?[X]:((~happy(X)<~>old(X)))))&
((?[X]:(wise(X)))=>((generous(paul)<~>~calm(paul))))&
(![X]... | ~patient(alice) | [
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1704308048005067999572501
% SZS output start Proof for 1704308048005067999572501
10. ! [X0] : ((~generous(X0) | ~patient(X0)) <=> (~humble(X0) & ~brave(X0))) [input p9]
15. ! [X0] : ((rich(X0) & humble(X0)) <=> (~funny(X0) | ~patient(X0))) [input p14]
24. ~patient(alice) [input hypothesis... | 0 |
If someone is either calm or not curious then someone is either not brave or not wise and vice versa.
Everyone who is both calm and brave is strong.
Everyone who is not rich is both not brave and not humble.
If susan is either quiet or not wise then alice is not rich or strong and vice versa.
If someone is either patie... | Susan is kind. | entailment | ((?[X]:((calm(X)<~>~curious(X))))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((calm(X)&brave(X))=>strong(X)))&
(![X]:(~rich(X)=>(~brave(X)&~humble(X))))&
(((quiet(susan)<~>~wise(susan)))<=>((~rich(alice)|strong(alice))))&
((?[X]:((patient(X)<~>kind(X))))=>(?[X]:((~happy(X)&happy(X)))))&
(![X]:(~calm(X)<=>(humble(X)<~>pa... | kind(susan) | [
"p1",
"p4",
"p5",
"p7",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7949325296976585997949042
% SZS output start Proof for 7949325296976585997949042
2. ! [X0] : ((brave(X0) & calm(X0)) => strong(X0)) [input p1]
5. ? [X0] : (patient(X0) <~> kind(X0)) => ? [X0] : (happy(X0) & ~happy(X0)) [input p4]
6. ! [X0] : (~calm(X0) <=> (humble(X0) <~> patient(X0))) [i... | 0 |
Everyone who is both funny and not creative is both not quiet and not funny and vice versa. Everyone who is not kind is either not old or not brave and vice versa. Everyone who is happy or not patient is either not kind or not quiet. Everyone who is quiet or not funny is not creative. Everyone who is happy is kind and ... | Paul is funny. | entailment | (![X]:((funny(X)&~creative(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~kind(X)<=>(~old(X)<~>~brave(X))))&
(![X]:((happy(X)|~patient(X))=>(~kind(X)<~>~quiet(X))))&
(![X]:((quiet(X)|~funny(X))=>~creative(X)))&
(![X]:(happy(X)<=>kind(X)))&
(![X]:(~happy(X)<=>~rich(X)))&
((?[X]:((~rich(X)|~old(X))))=>(?[X]:((creative(X)|~happy(... | funny(paul) | [
"p0",
"p2",
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 288172913076864374658118
% SZS output start Proof for 288172913076864374658118
1. ! [X0] : ((~creative(X0) & funny(X0)) <=> (~funny(X0) & ~quiet(X0))) [input p0]
3. ! [X0] : ((~patient(X0) | happy(X0)) => (~kind(X0) <~> ~quiet(X0))) [input p2]
4. ! [X0] : ((~funny(X0) | quiet(X0)) => ~cre... | 0 |
If susan is not generous or wise then someone is generous and vice versa.
Everyone who is both kind and funny is both funny and not happy.
Everyone who is either not quiet or strong is either creative or curious.
If paul is either not funny or old then john is both happy and funny and vice versa.
Everyone who is not ri... | Fred is curious. | contradiction | (((~generous(susan)|wise(susan)))<=>(?[X]:(generous(X))))&
(![X]:((kind(X)&funny(X))=>(funny(X)&~happy(X))))&
(![X]:((~quiet(X)<~>strong(X))=>(creative(X)<~>curious(X))))&
(((~funny(paul)<~>old(paul)))<=>((happy(john)&funny(john))))&
(![X]:((~rich(X)|~funny(X))<=>(kind(X)&wise(X))))&
(((~funny(lucy)&~strong(lucy)))<=>(... | curious(fred) | [
"p4",
"p5",
"p7",
"p10",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7086884018212258370745275
% SZS output start Proof for 7086884018212258370745275
5. ! [X0] : ((~funny(X0) | ~rich(X0)) <=> (wise(X0) & kind(X0))) [input p4]
6. (~strong(lucy) & ~funny(lucy)) <=> ? [X0] : rich(X0) [input p5]
8. ! [X0] : (creative(X0) <=> (tall(X0) <~> ~generous(X0))) [inpu... | 0 |
Everyone who is humble or not creative is either not creative or creative.
Everyone who is either generous or not strong is either creative or not old and vice versa.
If someone is both generous and not generous then mary is calm.
Everyone who is both funny and not strong is both not quiet and not funny and vice versa.... | Alice is not happy. | contradiction | (![X]:((humble(X)|~creative(X))=>(~creative(X)<~>creative(X))))&
(![X]:((generous(X)<~>~strong(X))<=>(creative(X)<~>~old(X))))&
((?[X]:((generous(X)&~generous(X))))=>(calm(mary)))&
(![X]:((funny(X)&~strong(X))<=>(~quiet(X)&~funny(X))))&
(![X]:(~strong(X)=>(~brave(X)&brave(X))))&
(((~old(john)|~calm(john)))=>(?[X]:(crea... | ~happy(alice) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1140660677204599131554765
% SZS output start Proof for 1140660677204599131554765
13. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (~old(X0) | old(X0))) [input p12]
23. ~happy(alice) [input hypothesis]
54. ! [X0] : (((happy(X0) & ~quiet(X0)) | (old(X0) & ~old(X0))) & ((~old(X0) | old(X0)) | (~ha... | 0 |
Everyone who is quiet or rich is both creative and generous and vice versa.
If someone is both not generous and humble then someone is either not curious or tall.
If someone is either funny or not calm then mary is curious and vice versa.
Everyone who is either tall or not quiet is both funny and happy.
If someone is n... | Mary is not generous. | contradiction | (![X]:((quiet(X)|rich(X))<=>(creative(X)&generous(X))))&
((?[X]:((~generous(X)&humble(X))))=>(?[X]:((~curious(X)<~>tall(X)))))&
((?[X]:((funny(X)<~>~calm(X))))<=>(curious(mary)))&
(![X]:((tall(X)<~>~quiet(X))=>(funny(X)&happy(X))))&
((?[X]:((~quiet(X)|kind(X))))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((tall(X)&~generous(... | ~generous(mary) | [
"p0",
"p4",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7144573482013516653505233
% SZS output start Proof for 7144573482013516653505233
1. ! [X0] : ((rich(X0) | quiet(X0)) <=> (generous(X0) & creative(X0))) [input p0]
5. ? [X0] : (kind(X0) | ~quiet(X0)) => ? [X0] : (tall(X0) & quiet(X0)) [input p4]
12. ! [X0] : ((~tall(X0) <~> ~generous(X0)) ... | 0 |
Everyone who is calm is both patient and not funny and vice versa. Everyone who is not patient is not humble or not rich and vice versa. Everyone who is not funny or creative is either not happy or not calm. If susan is not wise then someone is old and vice versa. If mary is both old and not patient then someone is eit... | Susan is not curious. | entailment | (![X]:(calm(X)<=>(patient(X)&~funny(X))))&
(![X]:(~patient(X)<=>(~humble(X)|~rich(X))))&
(![X]:((~funny(X)|creative(X))=>(~happy(X)<~>~calm(X))))&
((~wise(susan))<=>(?[X]:(old(X))))&
(((old(mary)&~patient(mary)))<=>(?[X]:((~funny(X)<~>humble(X)))))&
((~old(mary))<=>((~funny(mary)<~>~brave(mary))))&
((?[X]:((~strong(X)<... | ~curious(susan) | [
"p0",
"p2",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 9015074158602885284947847
% SZS output start Proof for 9015074158602885284947847
1. ! [X0] : (calm(X0) <=> (~funny(X0) & patient(X0))) [input p0]
3. ! [X0] : ((creative(X0) | ~funny(X0)) => (~happy(X0) <~> ~calm(X0))) [input p2]
8. ! [X0] : (curious(X0) => (~calm(X0) <~> funny(X0))) [inpu... | 0 |
If someone is both patient and calm then someone is either not humble or not quiet and vice versa.
Everyone who is not creative is not tall and vice versa.
Everyone who is either strong or not brave is not happy and vice versa.
Everyone who is either not calm or wise is not calm.
Everyone who is rich is both not strong... | Susan is happy. | neutral | ((?[X]:((patient(X)&calm(X))))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(![X]:(~creative(X)<=>~tall(X)))&
(![X]:((strong(X)<~>~brave(X))<=>~happy(X)))&
(![X]:((~calm(X)<~>wise(X))=>~calm(X)))&
(![X]:(rich(X)<=>(~strong(X)&happy(X))))&
(![X]:((~old(X)<~>generous(X))<=>wise(X)))&
(((strong(mary)&kind(mary)))=>(?[X]:((happy(... | happy(susan) | [] | null | 0 |
Everyone who is both not funny and not curious is both not funny and happy and vice versa.
Everyone who is both not curious and not creative is brave.
Everyone who is happy or not funny is humble or brave and vice versa.
If susan is both not old and not quiet then someone is not brave or not humble and vice versa.
Ever... | Mary is not funny. | neutral | (![X]:((~funny(X)&~curious(X))<=>(~funny(X)&happy(X))))&
(![X]:((~curious(X)&~creative(X))=>brave(X)))&
(![X]:((happy(X)|~funny(X))<=>(humble(X)|brave(X))))&
(((~old(susan)&~quiet(susan)))<=>(?[X]:((~brave(X)|~humble(X)))))&
(![X]:((kind(X)|~strong(X))<=>(old(X)<~>~wise(X))))&
(![X]:((kind(X)|~quiet(X))=>(~curious(X)&~... | ~funny(mary) | [] | null | 0 |
Everyone who is not tall or not creative is generous or not generous.
Everyone who is old or quiet is both not rich and not happy and vice versa.
Everyone who is not strong is both strong and kind and vice versa.
Everyone who is not rich is both brave and not creative.
If mary is either creative or calm then alice is e... | Susan is curious. | contradiction | (![X]:((~tall(X)|~creative(X))=>(generous(X)|~generous(X))))&
(![X]:((old(X)|quiet(X))<=>(~rich(X)&~happy(X))))&
(![X]:(~strong(X)<=>(strong(X)&kind(X))))&
(![X]:(~rich(X)=>(brave(X)&~creative(X))))&
(((creative(mary)<~>calm(mary)))=>((~old(alice)<~>~tall(alice))))&
(![X]:((~strong(X)|~creative(X))=>(~quiet(X)&~curious... | curious(susan) | [
"p2",
"p3",
"p5",
"p7",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7052620350678992369981630
% SZS output start Proof for 7052620350678992369981630
3. ! [X0] : (~strong(X0) <=> (kind(X0) & strong(X0))) [input p2]
4. ! [X0] : (~rich(X0) => (~creative(X0) & brave(X0))) [input p3]
6. ! [X0] : ((~creative(X0) | ~strong(X0)) => (~curious(X0) & ~quiet(X0))) [i... | 0 |
Everyone who is both not calm and happy is not strong. If lucy is not calm then someone is not calm. If susan is either not quiet or patient then paul is both not quiet and strong and vice versa. Everyone who is either curious or not rich is both not old and not rich and vice versa. If someone is either not rich or not... | Alice is curious. | contradiction | (![X]:((~calm(X)&happy(X))=>~strong(X)))&
((~calm(lucy))=>(?[X]:(~calm(X))))&
(((~quiet(susan)<~>patient(susan)))<=>((~quiet(paul)&strong(paul))))&
(![X]:((curious(X)<~>~rich(X))<=>(~old(X)&~rich(X))))&
((?[X]:((~rich(X)<~>~humble(X))))<=>((humble(fred)<~>kind(fred))))&
(((~generous(mary)|~brave(mary)))<=>(?[X]:((~wise... | curious(alice) | [
"p3",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7527545488095200800329114
% SZS output start Proof for 7527545488095200800329114
4. ! [X0] : ((curious(X0) <~> ~rich(X0)) <=> (~rich(X0) & ~old(X0))) [input p3]
23. ~old(alice) & ~happy(alice) [input p22]
24. curious(alice) [input hypothesis]
28. ~old(alice) [pure predicate removal 23]
39... | 0 |
Everyone who is both brave and curious is either not funny or old and vice versa.
Everyone who is both happy and not generous is either strong or tall.
Everyone who is either kind or not humble is both not creative and creative and vice versa.
Everyone who is both humble and creative is both tall and kind and vice vers... | John is patient. | contradiction | (![X]:((brave(X)&curious(X))<=>(~funny(X)<~>old(X))))&
(![X]:((happy(X)&~generous(X))=>(strong(X)<~>tall(X))))&
(![X]:((kind(X)<~>~humble(X))<=>(~creative(X)&creative(X))))&
(![X]:((humble(X)&creative(X))<=>(tall(X)&kind(X))))&
(((~brave(john)<~>~kind(john)))=>(quiet(alice)))&
(![X]:((kind(X)<~>patient(X))=>(creative(X... | patient(john) | [
"p2",
"p3",
"p5",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7775056539703381634764213
% SZS output start Proof for 7775056539703381634764213
3. ! [X0] : ((kind(X0) <~> ~humble(X0)) <=> (creative(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((creative(X0) & humble(X0)) <=> (kind(X0) & tall(X0))) [input p3]
6. ! [X0] : ((kind(X0) <~> patient(X0)) =>... | 0 |
If someone is either kind or not creative then susan is both generous and not rich.
Everyone who is rich or not tall is either funny or not creative.
If someone is happy or patient then someone is curious or not calm and vice versa.
Everyone who is both not brave and curious is either not curious or not quiet.
If someo... | Lucy is not brave. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((generous(susan)&~rich(susan))))&
(![X]:((rich(X)|~tall(X))=>(funny(X)<~>~creative(X))))&
((?[X]:((happy(X)|patient(X))))<=>(?[X]:((curious(X)|~calm(X)))))&
(![X]:((~brave(X)&curious(X))=>(~curious(X)<~>~quiet(X))))&
((?[X]:((brave(X)&tall(X))))=>((creative(paul)<~>~tall(paul))))&
(... | ~brave(lucy) | [
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5227828417609255592787107
% SZS output start Proof for 5227828417609255592787107
11. ! [X0] : ((brave(X0) <~> generous(X0)) => (quiet(X0) & brave(X0))) [input p10]
14. ! [X0] : (~wise(X0) <=> (wise(X0) <~> generous(X0))) [input p13]
24. ~brave(lucy) [input hypothesis]
36. ! [X0] : ((quiet... | 0 |
Everyone who is not curious or calm is patient and vice versa.
If lucy is kind then susan is not kind.
Everyone who is calm or not curious is either not patient or tall.
If someone is either not happy or not strong then susan is both funny and kind and vice versa.
If susan is either not funny or happy then someone is e... | Fred is creative. | neutral | (![X]:((~curious(X)|calm(X))<=>patient(X)))&
((kind(lucy))=>(~kind(susan)))&
(![X]:((calm(X)|~curious(X))=>(~patient(X)<~>tall(X))))&
((?[X]:((~happy(X)<~>~strong(X))))<=>((funny(susan)&kind(susan))))&
(((~funny(susan)<~>happy(susan)))=>(?[X]:((~generous(X)<~>generous(X)))))&
((wise(fred))<=>((happy(john)<~>~happy(john... | creative(fred) | [] | null | 0 |
Everyone who is either tall or not old is humble or wise.
Everyone who is either curious or generous is both not wise and humble.
Everyone who is both funny and not old is both not creative and generous.
Everyone who is either not tall or not patient is both patient and not creative.
Everyone who is both not strong and... | John is generous. | neutral | (![X]:((tall(X)<~>~old(X))=>(humble(X)|wise(X))))&
(![X]:((curious(X)<~>generous(X))=>(~wise(X)&humble(X))))&
(![X]:((funny(X)&~old(X))=>(~creative(X)&generous(X))))&
(![X]:((~tall(X)<~>~patient(X))=>(patient(X)&~creative(X))))&
(![X]:((~strong(X)&quiet(X))<=>wise(X)))&
(![X]:((~creative(X)|~brave(X))<=>(creative(X)<~>... | generous(john) | [] | null | 0 |
If alice is rich then lucy is either strong or not kind.
If paul is rich then someone is either strong or not happy and vice versa.
Everyone who is not curious or not generous is generous and vice versa.
Everyone who is both not kind and not strong is not creative or wise.
Everyone who is humble is quiet.
If lucy is ca... | Susan is not calm. | contradiction | ((rich(alice))=>((strong(lucy)<~>~kind(lucy))))&
((rich(paul))<=>(?[X]:((strong(X)<~>~happy(X)))))&
(![X]:((~curious(X)|~generous(X))<=>generous(X)))&
(![X]:((~kind(X)&~strong(X))=>(~creative(X)|wise(X))))&
(![X]:(humble(X)=>quiet(X)))&
(((calm(lucy)|strong(lucy)))=>(?[X]:((curious(X)<~>~wise(X)))))&
(![X]:((~happy(X)|... | ~calm(susan) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 35044833690684853663275
% SZS output start Proof for 35044833690684853663275
3. ! [X0] : ((~generous(X0) | ~curious(X0)) <=> generous(X0)) [input p2]
8. ! [X0] : ((generous(X0) | ~brave(X0)) => (calm(X0) & patient(X0))) [input p7]
24. ~calm(susan) [input hypothesis]
36. ! [X0] : ((calm(X0... | 0 |
Everyone who is brave or rich is either not generous or wise and vice versa. Everyone who is either not kind or old is humble or not humble. Everyone who is both not creative and not generous is not funny and vice versa. Everyone who is either not rich or patient is both funny and not quiet. Everyone who is either not ... | Fred is not patient. | neutral | (![X]:((brave(X)|rich(X))<=>(~generous(X)<~>wise(X))))&
(![X]:((~kind(X)<~>old(X))=>(humble(X)|~humble(X))))&
(![X]:((~creative(X)&~generous(X))<=>~funny(X)))&
(![X]:((~rich(X)<~>patient(X))=>(funny(X)&~quiet(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(wise(X)&~tall(X))))&
(![X]:((kind(X)<~>~happy(X))<=>(curious(X)<~>~patie... | ~patient(fred) | [] | null | 0 |
Everyone who is both patient and not funny is not rich or rich and vice versa.
Everyone who is not creative or not quiet is either not calm or funny and vice versa.
Everyone who is not kind is both creative and wise.
Everyone who is not curious or curious is generous and vice versa.
Everyone who is not generous is eith... | Fred is quiet. | entailment | (![X]:((patient(X)&~funny(X))<=>(~rich(X)|rich(X))))&
(![X]:((~creative(X)|~quiet(X))<=>(~calm(X)<~>funny(X))))&
(![X]:(~kind(X)=>(creative(X)&wise(X))))&
(![X]:((~curious(X)|curious(X))<=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patien... | quiet(fred) | [
"p0",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6215241071136391122123623
% SZS output start Proof for 6215241071136391122123623
1. ! [X0] : ((~funny(X0) & patient(X0)) <=> (rich(X0) | ~rich(X0))) [input p0]
4. ! [X0] : ((curious(X0) | ~curious(X0)) <=> generous(X0)) [input p3]
6. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & ... | 0 |
If someone is rich or calm then susan is generous or happy. Everyone who is both not humble and patient is both not happy and strong and vice versa. Everyone who is not patient is both not funny and strong. If someone is either patient or not curious then someone is kind and vice versa. If someone is either not old or ... | Susan is not generous. | contradiction | ((?[X]:((rich(X)|calm(X))))=>((generous(susan)|happy(susan))))&
(![X]:((~humble(X)&patient(X))<=>(~happy(X)&strong(X))))&
(![X]:(~patient(X)=>(~funny(X)&strong(X))))&
((?[X]:((patient(X)<~>~curious(X))))<=>(?[X]:(kind(X))))&
((?[X]:((~old(X)<~>~funny(X))))=>((~creative(fred)<~>~rich(fred))))&
(![X]:((rich(X)<~>~rich(X)... | ~generous(susan) | [
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 21704427698333922589136
% SZS output start Proof for 21704427698333922589136
6. ! [X0] : ((rich(X0) <~> ~rich(X0)) <=> ~creative(X0)) [input p5]
9. ! [X0] : ((rich(X0) & curious(X0)) <=> (~creative(X0) | ~funny(X0))) [input p8]
16. ! [X0] : ((curious(X0) | ~humble(X0)) => generous(X0)) [i... | 0 |
Everyone who is not creative is not calm or old and vice versa. If someone is not creative then paul is either generous or not strong and vice versa. Everyone who is both not wise and creative is either not strong or not brave and vice versa. Everyone who is old is either generous or calm. Everyone who is patient is ha... | John is not tall. | neutral | (![X]:(~creative(X)<=>(~calm(X)|old(X))))&
((?[X]:(~creative(X)))<=>((generous(paul)<~>~strong(paul))))&
(![X]:((~wise(X)&creative(X))<=>(~strong(X)<~>~brave(X))))&
(![X]:(old(X)=>(generous(X)<~>calm(X))))&
(![X]:(patient(X)<=>happy(X)))&
(![X]:(creative(X)=>~old(X)))&
(((patient(john)&~tall(john)))<=>(?[X]:((humble(X)... | ~tall(john) | [] | null | 0 |
If paul is not patient then someone is both wise and not calm and vice versa.
Everyone who is not brave is either brave or happy and vice versa.
Everyone who is not creative or not quiet is both not humble and not funny.
Everyone who is either creative or kind is both not calm and old and vice versa.
Everyone who is ca... | Alice is not curious. | contradiction | ((~patient(paul))<=>(?[X]:((wise(X)&~calm(X)))))&
(![X]:(~brave(X)<=>(brave(X)<~>happy(X))))&
(![X]:((~creative(X)|~quiet(X))=>(~humble(X)&~funny(X))))&
(![X]:((creative(X)<~>kind(X))<=>(~calm(X)&old(X))))&
(![X]:(calm(X)=>~funny(X)))&
(![X]:((old(X)<~>~calm(X))<=>(rich(X)&old(X))))&
(![X]:(~curious(X)=>(happy(X)<~>cal... | ~curious(alice) | [
"p0",
"p1",
"p5",
"p6",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4842710900016462341333473
% SZS output start Proof for 4842710900016462341333473
1. ~patient(paul) <=> ? [X0] : (~calm(X0) & wise(X0)) [input p0]
2. ! [X0] : (~brave(X0) <=> (brave(X0) <~> happy(X0))) [input p1]
6. ! [X0] : ((old(X0) <~> ~calm(X0)) <=> (old(X0) & rich(X0))) [input p5]
7. ... | 0 |
If fred is not old then paul is either calm or not tall. Everyone who is not creative or not old is either funny or not old and vice versa. Everyone who is both not curious and not funny is both creative and not quiet. If john is either not tall or rich then alice is not rich and vice versa. Everyone who is old is not ... | Susan is not wise. | entailment | ((~old(fred))=>((calm(paul)<~>~tall(paul))))&
(![X]:((~creative(X)|~old(X))<=>(funny(X)<~>~old(X))))&
(![X]:((~curious(X)&~funny(X))=>(creative(X)&~quiet(X))))&
(((~tall(john)<~>rich(john)))<=>(~rich(alice)))&
(![X]:(old(X)=>~tall(X)))&
(![X]:((wise(X)|quiet(X))=>~rich(X)))&
(![X]:((kind(X)<~>generous(X))=>(tall(X)&cur... | ~wise(susan) | [
"p1",
"p4",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4260632992985836434190558
% SZS output start Proof for 4260632992985836434190558
2. ! [X0] : ((~old(X0) | ~creative(X0)) <=> (funny(X0) <~> ~old(X0))) [input p1]
5. ! [X0] : (old(X0) => ~tall(X0)) [input p4]
8. ? [X0] : (creative(X0) <~> quiet(X0)) <=> ? [X0] : (tall(X0) & old(X0)) [input... | 0 |
Everyone who is patient or happy is both not creative and quiet and vice versa. If someone is not calm then someone is not wise or brave. Everyone who is kind is either not patient or tall and vice versa. Everyone who is both patient and not creative is not creative or brave. Everyone who is not quiet or rich is both h... | Alice is happy. | contradiction | (![X]:((patient(X)|happy(X))<=>(~creative(X)&quiet(X))))&
((?[X]:(~calm(X)))=>(?[X]:((~wise(X)|brave(X)))))&
(![X]:(kind(X)<=>(~patient(X)<~>tall(X))))&
(![X]:((patient(X)&~creative(X))=>(~creative(X)|brave(X))))&
(![X]:((~quiet(X)|rich(X))=>(happy(X)&kind(X))))&
(((~tall(fred)&tall(fred)))=>(?[X]:((~happy(X)&generous(... | happy(alice) | [
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7034891000160274326875485
% SZS output start Proof for 7034891000160274326875485
7. ! [X0] : (~brave(X0) => (~happy(X0) & ~patient(X0))) [input p6]
9. ? [X0] : brave(X0) => ? [X0] : (tall(X0) & ~tall(X0)) [input p8]
24. happy(alice) [input hypothesis]
26. ? [X0] : brave(X0) => ? [X1] : (t... | 0 |
If mary is both not rich and not humble then lucy is either wise or patient and vice versa.
Everyone who is tall or not humble is not generous.
Everyone who is either not generous or old is both not kind and patient.
Everyone who is both not patient and not quiet is funny or not strong and vice versa.
Everyone who is b... | John is happy. | entailment | (((~rich(mary)&~humble(mary)))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((tall(X)|~humble(X))=>~generous(X)))&
(![X]:((~generous(X)<~>old(X))=>(~kind(X)&patient(X))))&
(![X]:((~patient(X)&~quiet(X))<=>(funny(X)|~strong(X))))&
(![X]:((patient(X)&~quiet(X))=>(tall(X)|kind(X))))&
(![X]:((~happy(X)<~>wise(X))=>(wise(X)&bra... | happy(john) | [
"p1",
"p2",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5176068227888911086469137
% SZS output start Proof for 5176068227888911086469137
2. ! [X0] : ((~humble(X0) | tall(X0)) => ~generous(X0)) [input p1]
3. ! [X0] : ((~generous(X0) <~> old(X0)) => (patient(X0) & ~kind(X0))) [input p2]
10. ! [X0] : ((quiet(X0) <~> ~kind(X0)) <=> (~kind(X0) | ol... | 0 |
Everyone who is not old or brave is wise or not old and vice versa. Everyone who is either not curious or curious is not strong and vice versa. If mary is not tall or not creative then paul is wise or not funny and vice versa. Everyone who is either curious or humble is both rich and not rich. Everyone who is both wise... | Fred is not humble. | contradiction | (![X]:((~old(X)|brave(X))<=>(wise(X)|~old(X))))&
(![X]:((~curious(X)<~>curious(X))<=>~strong(X)))&
(((~tall(mary)|~creative(mary)))<=>((wise(paul)|~funny(paul))))&
(![X]:((curious(X)<~>humble(X))=>(rich(X)&~rich(X))))&
(![X]:((wise(X)&~calm(X))<=>(~patient(X)<~>~old(X))))&
((?[X]:(~curious(X)))=>(?[X]:(kind(X))))&
((?[... | ~humble(fred) | [
"p1",
"p3",
"p5",
"p7",
"p8",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 34723742841921284688988
% SZS output start Proof for 34723742841921284688988
2. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~strong(X0)) [input p1]
4. ! [X0] : ((curious(X0) <~> humble(X0)) => (~rich(X0) & rich(X0))) [input p3]
6. ? [X0] : ~curious(X0) => ? [X0] : kind(X0) [input p5]
8. ... | 0 |
Everyone who is not patient is generous or not happy and vice versa.
Everyone who is not quiet is not brave and vice versa.
If john is both not curious and not tall then someone is not quiet or creative and vice versa.
Everyone who is rich or not curious is either not kind or happy and vice versa.
Everyone who is rich ... | Mary is not curious. | entailment | (![X]:(~patient(X)<=>(generous(X)|~happy(X))))&
(![X]:(~quiet(X)<=>~brave(X)))&
(((~curious(john)&~tall(john)))<=>(?[X]:((~quiet(X)|creative(X)))))&
(![X]:((rich(X)|~curious(X))<=>(~kind(X)<~>happy(X))))&
(![X]:((rich(X)|~rich(X))<=>(~old(X)<~>~generous(X))))&
(((~quiet(john)|strong(john)))<=>((~curious(mary)&tall(mary... | ~curious(mary) | [
"p0",
"p1",
"p5",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5468726228005551611490395
% SZS output start Proof for 5468726228005551611490395
1. ! [X0] : (~patient(X0) <=> (~happy(X0) | generous(X0))) [input p0]
2. ! [X0] : (~quiet(X0) <=> ~brave(X0)) [input p1]
6. (strong(john) | ~quiet(john)) <=> (tall(mary) & ~curious(mary)) [input p5]
7. ! [X0]... | 0 |
Everyone who is either not quiet or not creative is wise or generous.
Everyone who is both rich and happy is either happy or not happy.
Everyone who is not old is both not curious and old and vice versa.
Everyone who is patient is either kind or curious.
If someone is both strong and not kind then lucy is either not cr... | Fred is not strong. | entailment | (![X]:((~quiet(X)<~>~creative(X))=>(wise(X)|generous(X))))&
(![X]:((rich(X)&happy(X))=>(happy(X)<~>~happy(X))))&
(![X]:(~old(X)<=>(~curious(X)&old(X))))&
(![X]:(patient(X)=>(kind(X)<~>curious(X))))&
((?[X]:((strong(X)&~kind(X))))<=>((~creative(lucy)<~>quiet(lucy))))&
(![X]:((generous(X)&strong(X))<=>(creative(X)|wise(X... | ~strong(fred) | [
"p2",
"p4",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7154634328137525832304243
% SZS output start Proof for 7154634328137525832304243
3. ! [X0] : (~old(X0) <=> (old(X0) & ~curious(X0))) [input p2]
5. ? [X0] : (~kind(X0) & strong(X0)) <=> (~creative(lucy) <~> quiet(lucy)) [input p4]
14. ! [X0] : (kind(X0) => (~old(X0) & old(X0))) [input p13]... | 0 |
If john is not tall or not generous then someone is creative.
If someone is both not old and rich then alice is not old or humble and vice versa.
Everyone who is both brave and not creative is not brave or not rich and vice versa.
If someone is both kind and happy then john is both curious and generous and vice versa.
... | Alice is curious. | contradiction | (((~tall(john)|~generous(john)))=>(?[X]:(creative(X))))&
((?[X]:((~old(X)&rich(X))))<=>((~old(alice)|humble(alice))))&
(![X]:((brave(X)&~creative(X))<=>(~brave(X)|~rich(X))))&
((?[X]:((kind(X)&happy(X))))<=>((curious(john)&generous(john))))&
(![X]:((~calm(X)|curious(X))=>(~humble(X)|~curious(X))))&
((?[X]:((old(X)<~>br... | curious(alice) | [
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6654939519918102550975517
% SZS output start Proof for 6654939519918102550975517
3. ! [X0] : ((~creative(X0) & brave(X0)) <=> (~rich(X0) | ~brave(X0))) [input p2]
5. ! [X0] : ((curious(X0) | ~calm(X0)) => (~curious(X0) | ~humble(X0))) [input p4]
8. ! [X0] : ((~brave(X0) & ~patient(X0)) <=... | 0 |
If someone is both not curious and not brave then someone is tall or not humble.
Everyone who is both quiet and not funny is not kind.
Everyone who is either creative or not quiet is curious.
If mary is both not strong and not rich then someone is generous.
Everyone who is not curious or happy is not curious.
Everyone ... | Paul is brave. | neutral | ((?[X]:((~curious(X)&~brave(X))))=>(?[X]:((tall(X)|~humble(X)))))&
(![X]:((quiet(X)&~funny(X))=>~kind(X)))&
(![X]:((creative(X)<~>~quiet(X))=>curious(X)))&
(((~strong(mary)&~rich(mary)))=>(?[X]:(generous(X))))&
(![X]:((~curious(X)|happy(X))=>~curious(X)))&
(![X]:(patient(X)=>creative(X)))&
(![X]:((happy(X)&~creative(X)... | brave(paul) | [] | null | 0 |
If someone is both strong and not old then someone is wise.
If lucy is either quiet or wise then mary is either creative or curious and vice versa.
Everyone who is wise is not strong or not brave.
Everyone who is either humble or brave is not brave and vice versa.
Everyone who is either not patient or not quiet is eith... | Fred is old. | entailment | ((?[X]:((strong(X)&~old(X))))=>(?[X]:(wise(X))))&
(((quiet(lucy)<~>wise(lucy)))<=>((creative(mary)<~>curious(mary))))&
(![X]:(wise(X)=>(~strong(X)|~brave(X))))&
(![X]:((humble(X)<~>brave(X))<=>~brave(X)))&
(![X]:((~patient(X)<~>~quiet(X))<=>(~humble(X)<~>curious(X))))&
(![X]:((humble(X)&happy(X))<=>(~tall(X)<~>funny(X)... | old(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8104167009151842145681192
% SZS output start Proof for 8104167009151842145681192
12. ? [X0] : (~old(X0) | quiet(X0)) => ? [X0] : (wise(X0) & ~wise(X0)) [input p11]
24. ~old(fred) [input hypothesis]
26. ? [X0] : (~old(X0) | quiet(X0)) => ? [X1] : (wise(X1) & ~wise(X1)) [rectify 12]
37. ? [... | 0 |
If fred is either not patient or not creative then mary is happy.
If mary is either not strong or kind then someone is both calm and not generous.
Everyone who is either not brave or creative is strong or patient.
Everyone who is not strong is not funny and vice versa.
If someone is wise then fred is either not calm or... | Fred is funny. | contradiction | (((~patient(fred)<~>~creative(fred)))=>(happy(mary)))&
(((~strong(mary)<~>kind(mary)))=>(?[X]:((calm(X)&~generous(X)))))&
(![X]:((~brave(X)<~>creative(X))=>(strong(X)|patient(X))))&
(![X]:(~strong(X)<=>~funny(X)))&
((?[X]:(wise(X)))<=>((~calm(fred)<~>creative(fred))))&
((~wise(paul))=>((rich(lucy)&~happy(lucy))))&
(((g... | funny(fred) | [
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2018834079090150703456210
% SZS output start Proof for 2018834079090150703456210
4. ! [X0] : (~strong(X0) <=> ~funny(X0)) [input p3]
12. ? [X0] : (~humble(X0) | ~creative(X0)) => (~funny(susan) <~> ~strong(susan)) [input p11]
16. ! [X0] : ((~kind(X0) & ~funny(X0)) <=> (creative(X0) & humb... | 0 |
If someone is both humble and not generous then someone is not strong or not patient and vice versa.
If someone is not calm then mary is either curious or not humble and vice versa.
If paul is calm or generous then john is not happy.
Everyone who is both not rich and happy is either not strong or kind and vice versa.
E... | Fred is not rich. | entailment | ((?[X]:((humble(X)&~generous(X))))<=>(?[X]:((~strong(X)|~patient(X)))))&
((?[X]:(~calm(X)))<=>((curious(mary)<~>~humble(mary))))&
(((calm(paul)|generous(paul)))=>(~happy(john)))&
(![X]:((~rich(X)&happy(X))<=>(~strong(X)<~>kind(X))))&
(![X]:((happy(X)&~brave(X))=>(old(X)<~>~patient(X))))&
(![X]:((~creative(X)|generous(X... | ~rich(fred) | [
"p3",
"p6",
"p12",
"p13",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1881652951406564545279988
% SZS output start Proof for 1881652951406564545279988
4. ! [X0] : ((happy(X0) & ~rich(X0)) <=> (~strong(X0) <~> kind(X0))) [input p3]
7. (patient(fred) <~> ~humble(fred)) <=> ? [X0] : ~brave(X0) [input p6]
13. ! [X0] : ((~kind(X0) | brave(X0)) <=> ~patient(X0)) ... | 0 |
Everyone who is either tall or not old is humble or not old.
Everyone who is calm or generous is both not tall and not patient.
Everyone who is both not funny and funny is strong or tall.
If someone is not curious or curious then someone is either rich or brave.
If someone is either not quiet or not strong then mary is... | Mary is not creative. | neutral | (![X]:((tall(X)<~>~old(X))=>(humble(X)|~old(X))))&
(![X]:((calm(X)|generous(X))=>(~tall(X)&~patient(X))))&
(![X]:((~funny(X)&funny(X))=>(strong(X)|tall(X))))&
((?[X]:((~curious(X)|curious(X))))=>(?[X]:((rich(X)<~>brave(X)))))&
((?[X]:((~quiet(X)<~>~strong(X))))<=>((~old(mary)|quiet(mary))))&
(![X]:((~patient(X)<~>stron... | ~creative(mary) | [] | null | 0 |
Everyone who is either not brave or creative is not humble. If someone is both not patient and patient then lucy is not patient and vice versa. Everyone who is old is both calm and not kind. Everyone who is not strong or wise is both happy and quiet. If someone is both not brave and not happy then someone is patient an... | John is kind. | neutral | (![X]:((~brave(X)<~>creative(X))=>~humble(X)))&
((?[X]:((~patient(X)&patient(X))))<=>(~patient(lucy)))&
(![X]:(old(X)=>(calm(X)&~kind(X))))&
(![X]:((~strong(X)|wise(X))=>(happy(X)&quiet(X))))&
((?[X]:((~brave(X)&~happy(X))))<=>(?[X]:(patient(X))))&
(![X]:((~funny(X)|strong(X))=>generous(X)))&
(![X]:(patient(X)=>~old(X)... | kind(john) | [] | null | 0 |
Everyone who is quiet or not funny is either not funny or not happy and vice versa. Everyone who is either curious or creative is both not wise and not quiet and vice versa. Everyone who is both not rich and humble is humble. Everyone who is humble is both tall and not brave and vice versa. Everyone who is curious is t... | Fred is strong. | neutral | (![X]:((quiet(X)|~funny(X))<=>(~funny(X)<~>~happy(X))))&
(![X]:((curious(X)<~>creative(X))<=>(~wise(X)&~quiet(X))))&
(![X]:((~rich(X)&humble(X))=>humble(X)))&
(![X]:(humble(X)<=>(tall(X)&~brave(X))))&
(![X]:(curious(X)=>tall(X)))&
((brave(fred))=>(?[X]:((~kind(X)<~>humble(X)))))&
(((quiet(john)<~>~rich(john)))=>(?[X]:(... | strong(fred) | [] | null | 0 |
Everyone who is not calm is not kind or not funny and vice versa. If someone is either not funny or strong then someone is either rich or quiet and vice versa. If alice is both quiet and not funny then someone is either not tall or brave. Everyone who is either not generous or strong is both patient and generous and vi... | Alice is not curious. | neutral | (![X]:(~calm(X)<=>(~kind(X)|~funny(X))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(((quiet(alice)&~funny(alice)))=>(?[X]:((~tall(X)<~>brave(X)))))&
(![X]:((~generous(X)<~>strong(X))<=>(patient(X)&generous(X))))&
(![X]:((wise(X)&happy(X))<=>~calm(X)))&
((?[X]:((~generous(X)<~>creative(X))))=>... | ~curious(alice) | [] | null | 0 |
If mary is both not generous and tall then paul is both happy and not generous.
Everyone who is either not quiet or quiet is generous.
If someone is either tall or rich then someone is both rich and funny and vice versa.
If someone is not funny or humble then john is both not brave and not old.
If mary is either not fu... | John is kind. | entailment | (((~generous(mary)&tall(mary)))=>((happy(paul)&~generous(paul))))&
(![X]:((~quiet(X)<~>quiet(X))=>generous(X)))&
((?[X]:((tall(X)<~>rich(X))))<=>(?[X]:((rich(X)&funny(X)))))&
((?[X]:((~funny(X)|humble(X))))=>((~brave(john)&~old(john))))&
(((~funny(mary)<~>~wise(mary)))<=>(~humble(mary)))&
(![X]:((tall(X)|humble(X))<=>(... | kind(john) | [
"p1",
"p5",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5092449473372617209940282
% SZS output start Proof for 5092449473372617209940282
2. ! [X0] : ((~quiet(X0) <~> quiet(X0)) => generous(X0)) [input p1]
6. ! [X0] : ((humble(X0) | tall(X0)) <=> (~patient(X0) | ~brave(X0))) [input p5]
13. ! [X0] : ((~quiet(X0) | brave(X0)) => (generous(X0) <~>... | 0 |
If someone is both generous and funny then someone is quiet or not tall and vice versa. Everyone who is not strong or not calm is not happy and vice versa. Everyone who is both strong and not kind is both not quiet and strong and vice versa. Everyone who is either patient or not creative is both not curious and not gen... | John is kind. | contradiction | ((?[X]:((generous(X)&funny(X))))<=>(?[X]:((quiet(X)|~tall(X)))))&
(![X]:((~strong(X)|~calm(X))<=>~happy(X)))&
(![X]:((strong(X)&~kind(X))<=>(~quiet(X)&strong(X))))&
(![X]:((patient(X)<~>~creative(X))<=>(~curious(X)&~generous(X))))&
(((funny(fred)|~humble(fred)))<=>((~generous(john)<~>~calm(john))))&
(![X]:((strong(X)&c... | kind(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7406094104993347992504783
% SZS output start Proof for 7406094104993347992504783
10. ! [X0] : ((~kind(X0) & ~brave(X0)) <=> kind(X0)) [input p9]
24. kind(john) [input hypothesis]
51. ! [X0] : (((~kind(X0) & ~brave(X0)) | ~kind(X0)) & (kind(X0) | (kind(X0) | brave(X0)))) [nnf transformatio... | 0 |
Everyone who is not curious is both not curious and not brave.
Everyone who is both not patient and curious is happy or not tall and vice versa.
If alice is not funny or patient then lucy is not brave or not humble.
Everyone who is both not generous and kind is both not creative and funny.
Everyone who is not calm is b... | Lucy is not humble. | neutral | (![X]:(~curious(X)=>(~curious(X)&~brave(X))))&
(![X]:((~patient(X)&curious(X))<=>(happy(X)|~tall(X))))&
(((~funny(alice)|patient(alice)))=>((~brave(lucy)|~humble(lucy))))&
(![X]:((~generous(X)&kind(X))=>(~creative(X)&funny(X))))&
(![X]:(~calm(X)<=>(~wise(X)&~kind(X))))&
((?[X]:((brave(X)|~creative(X))))=>((kind(paul)&~... | ~humble(lucy) | [] | null | 0 |
If someone is not strong or curious then alice is both old and not patient and vice versa.
Everyone who is both quiet and calm is both not brave and not happy.
Everyone who is either creative or old is not old.
Everyone who is both not creative and curious is either humble or not curious and vice versa.
If lucy is not ... | John is brave. | entailment | ((?[X]:((~strong(X)|curious(X))))<=>((old(alice)&~patient(alice))))&
(![X]:((quiet(X)&calm(X))=>(~brave(X)&~happy(X))))&
(![X]:((creative(X)<~>old(X))=>~old(X)))&
(![X]:((~creative(X)&curious(X))<=>(humble(X)<~>~curious(X))))&
((~humble(lucy))=>((~kind(paul)|~creative(paul))))&
((?[X]:((humble(X)<~>~calm(X))))<=>(?[X]:... | brave(john) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 29325741050185909706771
% SZS output start Proof for 29325741050185909706771
12. ! [X0] : ((~brave(X0) & tall(X0)) <=> ~tall(X0)) [input p11]
23. ~brave(john) [input hypothesis]
56. ! [X0] : (((~brave(X0) & tall(X0)) | tall(X0)) & (~tall(X0) | (brave(X0) | ~tall(X0)))) [nnf transformation... | 0 |
Everyone who is brave or not brave is either happy or tall.
If someone is not creative then fred is not wise.
If someone is happy or not wise then someone is both old and kind and vice versa.
Everyone who is both not happy and not quiet is old or tall and vice versa.
Everyone who is not humble or not brave is funny.
If... | Lucy is not tall. | contradiction | (![X]:((brave(X)|~brave(X))=>(happy(X)<~>tall(X))))&
((?[X]:(~creative(X)))=>(~wise(fred)))&
((?[X]:((happy(X)|~wise(X))))<=>(?[X]:((old(X)&kind(X)))))&
(![X]:((~happy(X)&~quiet(X))<=>(old(X)|tall(X))))&
(![X]:((~humble(X)|~brave(X))=>funny(X)))&
((~wise(john))=>(?[X]:((rich(X)<~>patient(X)))))&
(![X]:((calm(X)|~rich(X... | ~tall(lucy) | [
"p0",
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7543483443437012854915493
% SZS output start Proof for 7543483443437012854915493
1. ! [X0] : ((~brave(X0) | brave(X0)) => (happy(X0) <~> tall(X0))) [input p0]
3. ? [X0] : (~wise(X0) | happy(X0)) <=> ? [X0] : (kind(X0) & old(X0)) [input p2]
4. ! [X0] : ((~quiet(X0) & ~happy(X0)) <=> (tall(... | 0 |
Everyone who is old is strong and vice versa. Everyone who is either happy or not funny is tall or not quiet. If john is either kind or rich then someone is either not rich or kind. Everyone who is either not old or not strong is not happy or not brave and vice versa. Everyone who is either not creative or not kind is ... | Alice is calm. | entailment | (![X]:(old(X)<=>strong(X)))&
(![X]:((happy(X)<~>~funny(X))=>(tall(X)|~quiet(X))))&
(((kind(john)<~>rich(john)))=>(?[X]:((~rich(X)<~>kind(X)))))&
(![X]:((~old(X)<~>~strong(X))<=>(~happy(X)|~brave(X))))&
(![X]:((~creative(X)<~>~kind(X))<=>(generous(X)|calm(X))))&
(((rich(alice)<~>happy(alice)))<=>((happy(mary)&~wise(mary... | calm(alice) | [
"p0",
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8848809593155640071378383
% SZS output start Proof for 8848809593155640071378383
1. ! [X0] : (old(X0) <=> strong(X0)) [input p0]
4. ! [X0] : ((~old(X0) <~> ~strong(X0)) <=> (~brave(X0) | ~happy(X0))) [input p3]
7. ! [X0] : ((calm(X0) <~> strong(X0)) <=> (~old(X0) | humble(X0))) [input p6]... | 0 |
Everyone who is either rich or not calm is funny.
If someone is either strong or quiet then someone is both not happy and not curious.
If someone is not wise then someone is not happy or not brave.
Everyone who is not tall is either generous or funny.
Everyone who is patient is either generous or not generous and vice ... | Fred is not generous. | neutral | (![X]:((rich(X)<~>~calm(X))=>funny(X)))&
((?[X]:((strong(X)<~>quiet(X))))=>(?[X]:((~happy(X)&~curious(X)))))&
((?[X]:(~wise(X)))=>(?[X]:((~happy(X)|~brave(X)))))&
(![X]:(~tall(X)=>(generous(X)<~>funny(X))))&
(![X]:(patient(X)<=>(generous(X)<~>~generous(X))))&
(![X]:(generous(X)<=>(creative(X)|~brave(X))))&
(((~humble(s... | ~generous(fred) | [] | null | 0 |
If susan is either patient or curious then someone is not wise or old and vice versa.
Everyone who is both funny and not quiet is not generous.
If someone is not humble or patient then someone is not brave.
Everyone who is either not old or rich is not rich and vice versa.
If fred is patient then someone is funny or ha... | Mary is not curious. | entailment | (((patient(susan)<~>curious(susan)))<=>(?[X]:((~wise(X)|old(X)))))&
(![X]:((funny(X)&~quiet(X))=>~generous(X)))&
((?[X]:((~humble(X)|patient(X))))=>(?[X]:(~brave(X))))&
(![X]:((~old(X)<~>rich(X))<=>~rich(X)))&
((patient(fred))=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~wise(X)&quiet(X))=>(patient(X)|~brave(X))))&
(![X]:(... | ~curious(mary) | [
"p6",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5468032162781081264195330
% SZS output start Proof for 5468032162781081264195330
7. ! [X0] : ((~curious(X0) <~> tall(X0)) <=> creative(X0)) [input p6]
11. ! [X0] : ((~rich(X0) | ~creative(X0)) <=> (~curious(X0) & funny(X0))) [input p10]
17. ~tall(mary) | ~creative(mary) [input p16]
23. cu... | 0 |
If lucy is wise or happy then paul is both patient and humble.
Everyone who is both not creative and brave is quiet or wise.
Everyone who is either old or not kind is both patient and humble and vice versa.
Everyone who is not calm or strong is not quiet and vice versa.
If someone is old then alice is either wise or no... | Mary is kind. | contradiction | (((wise(lucy)|happy(lucy)))=>((patient(paul)&humble(paul))))&
(![X]:((~creative(X)&brave(X))=>(quiet(X)|wise(X))))&
(![X]:((old(X)<~>~kind(X))<=>(patient(X)&humble(X))))&
(![X]:((~calm(X)|strong(X))<=>~quiet(X)))&
((?[X]:(old(X)))<=>((wise(alice)<~>~calm(alice))))&
(![X]:(patient(X)<=>(brave(X)&~generous(X))))&
(![X]:(... | kind(mary) | [
"p2",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1792968219610802294128309
% SZS output start Proof for 1792968219610802294128309
3. ! [X0] : ((old(X0) <~> ~kind(X0)) <=> (humble(X0) & patient(X0))) [input p2]
10. ! [X0] : ((patient(X0) | ~patient(X0)) => (patient(X0) & humble(X0))) [input p9]
16. ~old(mary) <=> ? [X0] : (quiet(X0) | ki... | 0 |
Everyone who is wise or kind is not kind or wise and vice versa. Everyone who is both not patient and humble is generous or rich and vice versa. Everyone who is either happy or not funny is either funny or not calm. If alice is funny then someone is either not quiet or rich. If someone is brave or generous then someone... | Paul is brave. | contradiction | (![X]:((wise(X)|kind(X))<=>(~kind(X)|wise(X))))&
(![X]:((~patient(X)&humble(X))<=>(generous(X)|rich(X))))&
(![X]:((happy(X)<~>~funny(X))=>(funny(X)<~>~calm(X))))&
((funny(alice))=>(?[X]:((~quiet(X)<~>rich(X)))))&
((?[X]:((brave(X)|generous(X))))<=>(?[X]:((~funny(X)&~wise(X)))))&
(![X]:((generous(X)<~>~wise(X))<=>(creat... | brave(paul) | [
"p0",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 863488448163028119127808
% SZS output start Proof for 863488448163028119127808
1. ! [X0] : ((kind(X0) | wise(X0)) <=> (wise(X0) | ~kind(X0))) [input p0]
5. ? [X0] : (generous(X0) | brave(X0)) <=> ? [X0] : (~wise(X0) & ~funny(X0)) [input p4]
21. brave(paul) [input hypothesis]
22. ? [X0] : ... | 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... | Alice is generous. | neutral | ((~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)&... | generous(alice) | [] | null | 0 |
If fred is either not generous or not humble then alice is both not quiet and generous.
If john is either not wise or creative then paul is not rich.
If someone is not funny then mary is either not old or curious.
If john is not funny then paul is rich and vice versa.
If alice is both happy and rich then someone is cre... | Mary is curious. | neutral | (((~generous(fred)<~>~humble(fred)))=>((~quiet(alice)&generous(alice))))&
(((~wise(john)<~>creative(john)))=>(~rich(paul)))&
((?[X]:(~funny(X)))=>((~old(mary)<~>curious(mary))))&
((~funny(john))<=>(rich(paul)))&
(((happy(alice)&rich(alice)))<=>(?[X]:((creative(X)|wise(X)))))&
(![X]:((quiet(X)<~>kind(X))=>rich(X)))&
(![... | curious(mary) | [] | null | 0 |
If someone is either not humble or happy then fred is not wise or not tall and vice versa.
If fred is not brave or generous then fred is both not creative and not patient.
Everyone who is not funny or not humble is not calm.
If paul is creative or not funny then fred is creative and vice versa.
Everyone who is either n... | Susan is not humble. | neutral | ((?[X]:((~humble(X)<~>happy(X))))<=>((~wise(fred)|~tall(fred))))&
(((~brave(fred)|generous(fred)))=>((~creative(fred)&~patient(fred))))&
(![X]:((~funny(X)|~humble(X))=>~calm(X)))&
(((creative(paul)|~funny(paul)))<=>(creative(fred)))&
(![X]:((~wise(X)<~>rich(X))=>(humble(X)|tall(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>(k... | ~humble(susan) | [] | null | 0 |
If susan is either happy or funny then someone is either kind or not patient. If someone is wise or generous then someone is both patient and not generous and vice versa. Everyone who is either strong or not strong is kind and vice versa. Everyone who is both not brave and old is not generous or not brave and vice vers... | Susan is not wise. | neutral | (((happy(susan)<~>funny(susan)))=>(?[X]:((kind(X)<~>~patient(X)))))&
((?[X]:((wise(X)|generous(X))))<=>(?[X]:((patient(X)&~generous(X)))))&
(![X]:((strong(X)<~>~strong(X))<=>kind(X)))&
(![X]:((~brave(X)&old(X))<=>(~generous(X)|~brave(X))))&
((rich(john))=>(?[X]:((~creative(X)<~>~happy(X)))))&
(![X]:((tall(X)|funny(X))=... | ~wise(susan) | [] | null | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa. Everyone who is either not brave or kind is either patient or generous and vice versa. If someone is either brave or not brave then fred is either not patient or rich and vice versa. If susan is either not brave or not wise then john is both not... | Mary is calm. | entailment | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(patient(X)<~>generous(X))))&
((?[X]:((brave(X)<~>~brave(X))))<=>((~patient(fred)<~>rich(fred))))&
(((~brave(susan)<~>~wise(susan)))=>((~humble(john)&humble(john))))&
(![X]:((old(X)&calm(X))=>(~rich(X)<~>strong(X))))&
((?[X]:((~tall(X)|... | calm(mary) | [
"p0",
"p3",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6315196251227958041961119
% SZS output start Proof for 6315196251227958041961119
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (rich(X0) & wise(X0))) [input p0]
4. (~brave(susan) <~> ~wise(susan)) => (humble(john) & ~humble(john)) [input p3]
11. ? [X0] : ~calm(X0) <=> (~patient(susan) & ~br... | 0 |
If someone is not happy then someone is generous or not quiet and vice versa. If someone is both not happy and not old then someone is both humble and old and vice versa. If john is both not tall and not funny then lucy is tall. Everyone who is either funny or not wise is both patient and not creative and vice versa. E... | John is kind. | contradiction | ((?[X]:(~happy(X)))<=>(?[X]:((generous(X)|~quiet(X)))))&
((?[X]:((~happy(X)&~old(X))))<=>(?[X]:((humble(X)&old(X)))))&
(((~tall(john)&~funny(john)))=>(tall(lucy)))&
(![X]:((funny(X)<~>~wise(X))<=>(patient(X)&~creative(X))))&
(![X]:((~humble(X)<~>~brave(X))=>(~rich(X)<~>curious(X))))&
(![X]:((funny(X)|~strong(X))=>(funn... | kind(john) | [
"p6",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1177050274906910286461016
% SZS output start Proof for 1177050274906910286461016
7. ! [X0] : ((~curious(X0) | happy(X0)) => (~patient(X0) | ~happy(X0))) [input p6]
12. ! [X0] : ((tall(X0) | ~patient(X0)) => (~wise(X0) & ~funny(X0))) [input p11]
14. ! [X0] : (~wise(X0) => (~curious(X0) | p... | 0 |
Everyone who is generous is both not calm and wise.
If someone is either funny or quiet then mary is not kind or not creative and vice versa.
Everyone who is humble is kind or brave and vice versa.
Everyone who is either not generous or not calm is not brave or not funny and vice versa.
Everyone who is happy or not cur... | Fred is old. | entailment | (![X]:(generous(X)=>(~calm(X)&wise(X))))&
((?[X]:((funny(X)<~>quiet(X))))<=>((~kind(mary)|~creative(mary))))&
(![X]:(humble(X)<=>(kind(X)|brave(X))))&
(![X]:((~generous(X)<~>~calm(X))<=>(~brave(X)|~funny(X))))&
(![X]:((happy(X)|~curious(X))<=>~happy(X)))&
((~tall(paul))<=>(tall(john)))&
(((wise(fred)|~kind(fred)))<=>(?... | old(fred) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3788801210409759758748959
% SZS output start Proof for 3788801210409759758748959
5. ! [X0] : ((~curious(X0) | happy(X0)) <=> ~happy(X0)) [input p4]
8. ! [X0] : (happy(X0) <=> (~brave(X0) | ~old(X0))) [input p7]
22. ~old(fred) [input hypothesis]
39. ! [X0] : (((~curious(X0) | happy(X0)) | ... | 0 |
If someone is either creative or tall then someone is strong or tall.
Everyone who is not kind or not curious is both generous and wise and vice versa.
If someone is both old and calm then someone is both wise and generous and vice versa.
Everyone who is not kind or creative is funny or patient.
Everyone who is both ge... | Lucy is happy. | contradiction | ((?[X]:((creative(X)<~>tall(X))))=>(?[X]:((strong(X)|tall(X)))))&
(![X]:((~kind(X)|~curious(X))<=>(generous(X)&wise(X))))&
((?[X]:((old(X)&calm(X))))<=>(?[X]:((wise(X)&generous(X)))))&
(![X]:((~kind(X)|creative(X))=>(funny(X)|patient(X))))&
(![X]:((generous(X)&~tall(X))<=>(generous(X)<~>~funny(X))))&
((old(fred))<=>((c... | happy(lucy) | [
"p1",
"p7",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 958558266414777390504968
% SZS output start Proof for 958558266414777390504968
2. ! [X0] : ((~curious(X0) | ~kind(X0)) <=> (wise(X0) & generous(X0))) [input p1]
8. ! [X0] : ((~humble(X0) <~> curious(X0)) <=> (~brave(X0) & ~humble(X0))) [input p7]
12. ! [X0] : ((~brave(X0) <~> ~kind(X0)) <... | 0 |
Everyone who is both not creative and not curious is humble and vice versa.
If paul is both not calm and not strong then someone is either not patient or old and vice versa.
Everyone who is not calm is not old and vice versa.
Everyone who is not humble is either calm or old.
Everyone who is not generous or not quiet is... | Paul is patient. | contradiction | (![X]:((~creative(X)&~curious(X))<=>humble(X)))&
(((~calm(paul)&~strong(paul)))<=>(?[X]:((~patient(X)<~>old(X)))))&
(![X]:(~calm(X)<=>~old(X)))&
(![X]:(~humble(X)=>(calm(X)<~>old(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(~humble(X)&~funny(X))))&
(![X]:((creative(X)|~creative(X))=>(wise(X)&old(X))))&
((?[X]:((curious(X)... | patient(paul) | [
"p1",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4096690798302469745755154
% SZS output start Proof for 4096690798302469745755154
2. (~strong(paul) & ~calm(paul)) <=> ? [X0] : (~patient(X0) <~> old(X0)) [input p1]
6. ! [X0] : ((~creative(X0) | creative(X0)) => (old(X0) & wise(X0))) [input p5]
13. ! [X0] : (~strong(X0) => (~wise(X0) & ~b... | 0 |
Everyone who is funny is either not wise or calm and vice versa.
If someone is funny or not tall then susan is not wise.
Everyone who is not patient or calm is either wise or humble and vice versa.
If lucy is not wise then susan is brave or creative.
Everyone who is both not wise and not brave is quiet or not rich and ... | Paul is not rich. | contradiction | (![X]:(funny(X)<=>(~wise(X)<~>calm(X))))&
((?[X]:((funny(X)|~tall(X))))=>(~wise(susan)))&
(![X]:((~patient(X)|calm(X))<=>(wise(X)<~>humble(X))))&
((~wise(lucy))=>((brave(susan)|creative(susan))))&
(![X]:((~wise(X)&~brave(X))<=>(quiet(X)|~rich(X))))&
((?[X]:(tall(X)))<=>(?[X]:((~wise(X)&generous(X)))))&
((?[X]:((~wise(X... | ~rich(paul) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 468674724807238528566453
% SZS output start Proof for 468674724807238528566453
5. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> (~rich(X0) | quiet(X0))) [input p4]
9. ! [X0] : (patient(X0) <=> (brave(X0) <~> ~patient(X0))) [input p8]
25. ~rich(paul) [input hypothesis]
44. ! [X0] : (((~brave(X0) ... | 0 |
Everyone who is old is quiet or not strong and vice versa.
If mary is both not rich and not funny then mary is either calm or strong.
Everyone who is either not humble or brave is brave.
If someone is wise or not happy then someone is tall and vice versa.
Everyone who is not funny or not quiet is quiet and vice versa.
... | Alice is not rich. | neutral | (![X]:(old(X)<=>(quiet(X)|~strong(X))))&
(((~rich(mary)&~funny(mary)))=>((calm(mary)<~>strong(mary))))&
(![X]:((~humble(X)<~>brave(X))=>brave(X)))&
((?[X]:((wise(X)|~happy(X))))<=>(?[X]:(tall(X))))&
(![X]:((~funny(X)|~quiet(X))<=>quiet(X)))&
(![X]:((curious(X)&creative(X))<=>(~happy(X)|~tall(X))))&
(![X]:((old(X)&~old(... | ~rich(alice) | [] | null | 0 |
Everyone who is funny or calm is either happy or old.
If susan is either not brave or not calm then someone is quiet.
Everyone who is not tall is generous or not kind.
Everyone who is either wise or tall is either calm or kind and vice versa.
If someone is both not quiet and funny then someone is kind or humble and vic... | Lucy is strong. | contradiction | (![X]:((funny(X)|calm(X))=>(happy(X)<~>old(X))))&
(((~brave(susan)<~>~calm(susan)))=>(?[X]:(quiet(X))))&
(![X]:(~tall(X)=>(generous(X)|~kind(X))))&
(![X]:((wise(X)<~>tall(X))<=>(calm(X)<~>kind(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((kind(X)|humble(X)))))&
(![X]:((patient(X)&~old(X))<=>(~humble(X)<~>~generous(X)... | strong(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6892649788404995387838399
% SZS output start Proof for 6892649788404995387838399
11. ! [X0] : (~wise(X0) <=> (wise(X0) | ~strong(X0))) [input p10]
25. strong(lucy) [input hypothesis]
61. ! [X0] : ((~wise(X0) | (~wise(X0) & strong(X0))) & ((wise(X0) | ~strong(X0)) | wise(X0))) [nnf transfo... | 0 |
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