premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both rich and not generous then someone is patient or not kind.
If someone is happy then mary is not strong or not happy and vice versa.
Everyone who is not tall is happy.
If someone is not tall or quiet then john is either patient or not calm.
Everyone who is funny or patient is both not curious and not ... | Susan is old. | entailment | ((?[X]:((rich(X)&~generous(X))))=>(?[X]:((patient(X)|~kind(X)))))&
((?[X]:(happy(X)))<=>((~strong(mary)|~happy(mary))))&
(![X]:(~tall(X)=>happy(X)))&
((?[X]:((~tall(X)|quiet(X))))=>((patient(john)<~>~calm(john))))&
(![X]:((funny(X)|patient(X))=>(~curious(X)&~rich(X))))&
(![X]:(~old(X)=>(~rich(X)&kind(X))))&
((?[X]:((ol... | old(susan) | [
"p2",
"p5",
"p6",
"p9",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 572634858610020952251395
% SZS output start Proof for 572634858610020952251395
3. ! [X0] : (~tall(X0) => happy(X0)) [input p2]
6. ! [X0] : (~old(X0) => (kind(X0) & ~rich(X0))) [input p5]
7. ? [X0] : (~curious(X0) | old(X0)) => ~happy(john) [input p6]
10. ? [X0] : ~generous(X0) <=> (happy(... | 0 |
If alice is not strong or not curious then someone is not rich and vice versa.
Everyone who is both calm and not wise is both not calm and generous.
Everyone who is either not happy or not quiet is old and vice versa.
If someone is either not strong or not old then fred is both not quiet and humble.
If lucy is either n... | Fred is quiet. | contradiction | (((~strong(alice)|~curious(alice)))<=>(?[X]:(~rich(X))))&
(![X]:((calm(X)&~wise(X))=>(~calm(X)&generous(X))))&
(![X]:((~happy(X)<~>~quiet(X))<=>old(X)))&
((?[X]:((~strong(X)<~>~old(X))))=>((~quiet(fred)&humble(fred))))&
(((~calm(lucy)<~>curious(lucy)))<=>((old(mary)&wise(mary))))&
((?[X]:(strong(X)))<=>(~rich(fred)))&
... | quiet(fred) | [
"p1",
"p3",
"p9",
"p10",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8945875327268583268245227
% SZS output start Proof for 8945875327268583268245227
2. ! [X0] : ((~wise(X0) & calm(X0)) => (generous(X0) & ~calm(X0))) [input p1]
4. ? [X0] : (~strong(X0) <~> ~old(X0)) => (humble(fred) & ~quiet(fred)) [input p3]
10. ! [X0] : ((~calm(X0) | old(X0)) => strong(X... | 0 |
If susan is not calm or creative then susan is either strong or not rich. If susan is both quiet and not calm then alice is either not calm or strong and vice versa. If someone is not kind then alice is old and vice versa. Everyone who is generous is not rich or not humble. Everyone who is curious is either wise or not... | Paul is not brave. | neutral | (((~calm(susan)|creative(susan)))=>((strong(susan)<~>~rich(susan))))&
(((quiet(susan)&~calm(susan)))<=>((~calm(alice)<~>strong(alice))))&
((?[X]:(~kind(X)))<=>(old(alice)))&
(![X]:(generous(X)=>(~rich(X)|~humble(X))))&
(![X]:(curious(X)<=>(wise(X)<~>~wise(X))))&
(![X]:((patient(X)|~old(X))<=>~kind(X)))&
(![X]:((quiet(X... | ~brave(paul) | [] | null | 0 |
Everyone who is kind is funny or not rich.
If paul is not funny or calm then paul is not generous or humble and vice versa.
Everyone who is both happy and not curious is not happy or curious.
Everyone who is not curious is both not generous and not humble.
If someone is either patient or funny then someone is either br... | Alice is not rich. | entailment | (![X]:(kind(X)=>(funny(X)|~rich(X))))&
(((~funny(paul)|calm(paul)))<=>((~generous(paul)|humble(paul))))&
(![X]:((happy(X)&~curious(X))=>(~happy(X)|curious(X))))&
(![X]:(~curious(X)=>(~generous(X)&~humble(X))))&
((?[X]:((patient(X)<~>funny(X))))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:(~creative(X)=>~patient(X)))&
((?[X... | ~rich(alice) | [
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6925912715926799325584860
% SZS output start Proof for 6925912715926799325584860
6. ! [X0] : (~creative(X0) => ~patient(X0)) [input p5]
7. ? [X0] : ~old(X0) => ? [X0] : (~tall(X0) & ~brave(X0)) [input p6]
9. ! [X0] : ((~rich(X0) & ~generous(X0)) <=> (~creative(X0) <~> rich(X0))) [input p8... | 0 |
Everyone who is either curious or not happy is both rich and not calm and vice versa. If someone is brave or wise then mary is both humble and not happy and vice versa. Everyone who is curious is both happy and not kind and vice versa. If someone is not rich then alice is brave or not kind and vice versa. If someone is... | Paul is not quiet. | neutral | (![X]:((curious(X)<~>~happy(X))<=>(rich(X)&~calm(X))))&
((?[X]:((brave(X)|wise(X))))<=>((humble(mary)&~happy(mary))))&
(![X]:(curious(X)<=>(happy(X)&~kind(X))))&
((?[X]:(~rich(X)))<=>((brave(alice)|~kind(alice))))&
((?[X]:(~old(X)))=>(~calm(mary)))&
((?[X]:((wise(X)|~brave(X))))<=>(?[X]:((kind(X)|generous(X)))))&
(![X]... | ~quiet(paul) | [] | null | 0 |
Everyone who is either not generous or wise is not tall or quiet. If susan is either quiet or not strong then paul is both not old and not patient. Everyone who is either not strong or not tall is either not calm or not strong. Everyone who is strong is either not old or humble. Everyone who is not creative or not humb... | Fred is not quiet. | entailment | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((quiet(susan)<~>~strong(susan)))=>((~old(paul)&~patient(paul))))&
(![X]:((~strong(X)<~>~tall(X))=>(~calm(X)<~>~strong(X))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((pa... | ~quiet(fred) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 933188664195264525852856
% SZS output start Proof for 933188664195264525852856
10. ! [X0] : (funny(X0) <=> (~calm(X0) | ~funny(X0))) [input p9]
12. ! [X0] : (funny(X0) <=> (~quiet(X0) & happy(X0))) [input p11]
22. quiet(fred) [input hypothesis]
42. ! [X0] : ((funny(X0) | (calm(X0) & funny... | 0 |
Everyone who is not curious or generous is generous or wise. Everyone who is either creative or not quiet is not tall. Everyone who is not quiet is either not creative or brave. Everyone who is either old or not quiet is either not old or not happy. If someone is both funny and curious then someone is both not old and ... | John is wise. | entailment | (![X]:((~curious(X)|generous(X))=>(generous(X)|wise(X))))&
(![X]:((creative(X)<~>~quiet(X))=>~tall(X)))&
(![X]:(~quiet(X)=>(~creative(X)<~>brave(X))))&
(![X]:((old(X)<~>~quiet(X))=>(~old(X)<~>~happy(X))))&
((?[X]:((funny(X)&curious(X))))<=>(?[X]:((~old(X)&~tall(X)))))&
(![X]:(happy(X)=>patient(X)))&
(![X]:(curious(X)<=... | wise(john) | [
"p0",
"p6",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 9205277423432832819765302
% SZS output start Proof for 9205277423432832819765302
1. ! [X0] : ((generous(X0) | ~curious(X0)) => (wise(X0) | generous(X0))) [input p0]
7. ! [X0] : (curious(X0) <=> (patient(X0) & ~patient(X0))) [input p6]
16. ! [X0] : ((generous(X0) | ~creative(X0)) <=> (~old... | 0 |
If paul is both creative and not creative then someone is not generous or curious.
If susan is either not calm or rich then someone is not calm or quiet and vice versa.
If someone is not quiet or not patient then alice is generous or not brave.
Everyone who is not generous or brave is not calm or curious and vice versa... | Alice is humble. | neutral | (((creative(paul)&~creative(paul)))=>(?[X]:((~generous(X)|curious(X)))))&
(((~calm(susan)<~>rich(susan)))<=>(?[X]:((~calm(X)|quiet(X)))))&
((?[X]:((~quiet(X)|~patient(X))))=>((generous(alice)|~brave(alice))))&
(![X]:((~generous(X)|brave(X))<=>(~calm(X)|curious(X))))&
(((old(lucy)<~>brave(lucy)))<=>(humble(alice)))&
(![... | humble(alice) | [] | null | 0 |
If someone is both brave and not old then someone is both not strong and not rich.
Everyone who is not humble is both rich and patient and vice versa.
If someone is both funny and old then fred is not old or generous and vice versa.
Everyone who is rich or not curious is not curious and vice versa.
If alice is not calm... | Alice is not happy. | entailment | ((?[X]:((brave(X)&~old(X))))=>(?[X]:((~strong(X)&~rich(X)))))&
(![X]:(~humble(X)<=>(rich(X)&patient(X))))&
((?[X]:((funny(X)&old(X))))<=>((~old(fred)|generous(fred))))&
(![X]:((rich(X)|~curious(X))<=>~curious(X)))&
((~calm(alice))=>((~funny(paul)<~>~brave(paul))))&
(((~curious(susan)<~>calm(susan)))<=>(~curious(susan))... | ~happy(alice) | [
"p7",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1684614497997464587187644
% SZS output start Proof for 1684614497997464587187644
8. ! [X0] : (~wise(X0) <=> (~old(X0) | ~humble(X0))) [input p7]
12. ! [X0] : ((~curious(X0) | happy(X0)) <=> (~old(X0) <~> brave(X0))) [input p11]
14. ! [X0] : ((~brave(X0) & wise(X0)) <=> happy(X0)) [input p... | 0 |
Everyone who is both humble and curious is humble and vice versa.
Everyone who is both not tall and humble is not rich or not generous and vice versa.
If mary is both happy and not old then someone is not humble.
If someone is happy then susan is both not curious and not generous.
Everyone who is generous or not brave ... | Paul is not wise. | entailment | (![X]:((humble(X)&curious(X))<=>humble(X)))&
(![X]:((~tall(X)&humble(X))<=>(~rich(X)|~generous(X))))&
(((happy(mary)&~old(mary)))=>(?[X]:(~humble(X))))&
((?[X]:(happy(X)))=>((~curious(susan)&~generous(susan))))&
(![X]:((generous(X)|~brave(X))=>(~wise(X)<~>tall(X))))&
((~patient(john))=>(?[X]:((rich(X)<~>kind(X)))))&
(!... | ~wise(paul) | [
"p0",
"p1",
"p3",
"p4",
"p8",
"p9",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4506485477639628695768878
% SZS output start Proof for 4506485477639628695768878
1. ! [X0] : ((curious(X0) & humble(X0)) <=> humble(X0)) [input p0]
2. ! [X0] : ((humble(X0) & ~tall(X0)) <=> (~generous(X0) | ~rich(X0))) [input p1]
4. ? [X0] : happy(X0) => (~generous(susan) & ~curious(susan... | 0 |
If someone is rich then someone is both not calm and not humble and vice versa. If someone is both not generous and not brave then someone is either not rich or wise. If john is either creative or patient then someone is either not kind or funny and vice versa. Everyone who is not kind is both not strong and kind. Ever... | Mary is brave. | neutral | ((?[X]:(rich(X)))<=>(?[X]:((~calm(X)&~humble(X)))))&
((?[X]:((~generous(X)&~brave(X))))=>(?[X]:((~rich(X)<~>wise(X)))))&
(((creative(john)<~>patient(john)))<=>(?[X]:((~kind(X)<~>funny(X)))))&
(![X]:(~kind(X)=>(~strong(X)&kind(X))))&
(![X]:((~curious(X)|quiet(X))<=>(~happy(X)|curious(X))))&
(![X]:((wise(X)|~strong(X))<=... | brave(mary) | [] | null | 0 |
If susan is calm or wise then someone is both not rich and not generous.
If alice is not quiet then mary is not funny or not quiet.
Everyone who is either not kind or curious is either tall or not humble and vice versa.
If someone is tall then someone is not brave or not wise.
If john is humble or not rich then lucy is... | Lucy is quiet. | contradiction | (((calm(susan)|wise(susan)))=>(?[X]:((~rich(X)&~generous(X)))))&
((~quiet(alice))=>((~funny(mary)|~quiet(mary))))&
(![X]:((~kind(X)<~>curious(X))<=>(tall(X)<~>~humble(X))))&
((?[X]:(tall(X)))=>(?[X]:((~brave(X)|~wise(X)))))&
(((humble(john)|~rich(john)))<=>((~old(lucy)&wise(lucy))))&
(![X]:((tall(X)|creative(X))<=>(~cu... | quiet(lucy) | [
"p8",
"p10",
"p11",
"p13",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 561558567935192411557910
% SZS output start Proof for 561558567935192411557910
9. ! [X0] : ((~strong(X0) & old(X0)) <=> (brave(X0) <~> wise(X0))) [input p8]
11. ! [X0] : (old(X0) => (kind(X0) & patient(X0))) [input p10]
12. ! [X0] : ((~funny(X0) <~> generous(X0)) <=> (quiet(X0) <~> ~patie... | 0 |
Everyone who is not humble or not creative is either not calm or generous and vice versa. If someone is not calm then susan is not kind or not strong and vice versa. Everyone who is both funny and not generous is not generous and vice versa. Everyone who is both not calm and creative is not curious and vice versa. If j... | Paul is humble. | contradiction | (![X]:((~humble(X)|~creative(X))<=>(~calm(X)<~>generous(X))))&
((?[X]:(~calm(X)))<=>((~kind(susan)|~strong(susan))))&
(![X]:((funny(X)&~generous(X))<=>~generous(X)))&
(![X]:((~calm(X)&creative(X))<=>~curious(X)))&
(((~calm(john)&~generous(john)))=>(?[X]:((curious(X)&~patient(X)))))&
((~rich(john))<=>(?[X]:((~funny(X)<~... | humble(paul) | [
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7156361387073451032204311
% SZS output start Proof for 7156361387073451032204311
9. ! [X0] : (quiet(X0) => ~quiet(X0)) [input p8]
12. ! [X0] : ((~old(X0) | ~quiet(X0)) => (brave(X0) & calm(X0))) [input p11]
16. ~brave(paul) <~> ~humble(paul) [input p15]
24. humble(paul) [input hypothesis]... | 0 |
If mary is creative then someone is either not calm or funny.
If alice is quiet or strong then someone is either not generous or humble.
Everyone who is not creative or patient is both curious and generous.
If mary is not humble or kind then fred is not rich or not calm.
If someone is funny then mary is quiet or curiou... | John is not funny. | entailment | ((creative(mary))=>(?[X]:((~calm(X)<~>funny(X)))))&
(((quiet(alice)|strong(alice)))=>(?[X]:((~generous(X)<~>humble(X)))))&
(![X]:((~creative(X)|patient(X))=>(curious(X)&generous(X))))&
(((~humble(mary)|kind(mary)))=>((~rich(fred)|~calm(fred))))&
((?[X]:(funny(X)))<=>((quiet(mary)|curious(mary))))&
(![X]:(kind(X)=>(~old... | ~funny(john) | [
"p2",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 574734862560294684750833
% SZS output start Proof for 574734862560294684750833
3. ! [X0] : ((patient(X0) | ~creative(X0)) => (generous(X0) & curious(X0))) [input p2]
9. ! [X0] : ((~tall(X0) | quiet(X0)) => (wise(X0) & kind(X0))) [input p8]
10. ! [X0] : (curious(X0) <=> ~patient(X0)) [inpu... | 0 |
If someone is both strong and quiet then fred is either generous or not happy.
Everyone who is not tall is both not happy and generous and vice versa.
If someone is happy or brave then someone is both not tall and old.
If john is either not kind or creative then someone is either not old or tall and vice versa.
If mary... | Alice is not quiet. | contradiction | ((?[X]:((strong(X)&quiet(X))))=>((generous(fred)<~>~happy(fred))))&
(![X]:(~tall(X)<=>(~happy(X)&generous(X))))&
((?[X]:((happy(X)|brave(X))))=>(?[X]:((~tall(X)&old(X)))))&
(((~kind(john)<~>creative(john)))<=>(?[X]:((~old(X)<~>tall(X)))))&
((~funny(mary))<=>(?[X]:((~brave(X)<~>~creative(X)))))&
((?[X]:((~rich(X)<~>~tal... | ~quiet(alice) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3627496525511488480325441
% SZS output start Proof for 3627496525511488480325441
10. ! [X0] : ((~quiet(X0) | ~kind(X0)) <=> quiet(X0)) [input p9]
23. ~quiet(alice) [input hypothesis]
56. ! [X0] : (((~quiet(X0) | ~kind(X0)) | ~quiet(X0)) & (quiet(X0) | (quiet(X0) & kind(X0)))) [nnf transfo... | 0 |
Everyone who is either not brave or quiet is both not funny and quiet and vice versa.
Everyone who is both patient and not kind is either not humble or tall.
If someone is either not quiet or not brave then someone is tall or not kind.
If alice is both quiet and brave then someone is either tall or old.
If someone is p... | Fred is not tall. | entailment | (![X]:((~brave(X)<~>quiet(X))<=>(~funny(X)&quiet(X))))&
(![X]:((patient(X)&~kind(X))=>(~humble(X)<~>tall(X))))&
((?[X]:((~quiet(X)<~>~brave(X))))=>(?[X]:((tall(X)|~kind(X)))))&
(((quiet(alice)&brave(alice)))=>(?[X]:((tall(X)<~>old(X)))))&
((?[X]:((patient(X)|~patient(X))))=>((rich(fred)&funny(fred))))&
((?[X]:(funny(X)... | ~tall(fred) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5187200537701861193990017
% SZS output start Proof for 5187200537701861193990017
17. ~tall(fred) [input p16]
25. tall(fred) [input hypothesis]
114. ~tall(fred) [cnf transformation 17]
124. tall(fred) [cnf transformation 25]
269. $false [subsumption resolution 124,114]
% SZS output end Pro... | 0 |
Everyone who is either generous or not generous is not quiet or generous and vice versa. Everyone who is either rich or creative is both creative and not rich. Everyone who is humble is not generous. Everyone who is tall or generous is both generous and not brave and vice versa. If mary is happy or not funny then john ... | John is not happy. | contradiction | (![X]:((generous(X)<~>~generous(X))<=>(~quiet(X)|generous(X))))&
(![X]:((rich(X)<~>creative(X))=>(creative(X)&~rich(X))))&
(![X]:(humble(X)=>~generous(X)))&
(![X]:((tall(X)|generous(X))<=>(generous(X)&~brave(X))))&
(((happy(mary)|~funny(mary)))<=>((quiet(john)<~>creative(john))))&
(((~rich(lucy)<~>~old(lucy)))=>(brave(... | ~happy(john) | [
"p1",
"p6",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4116014466809110673312756
% SZS output start Proof for 4116014466809110673312756
2. ! [X0] : ((rich(X0) <~> creative(X0)) => (~rich(X0) & creative(X0))) [input p1]
7. ! [X0] : ((creative(X0) | ~wise(X0)) <=> (rich(X0) & ~kind(X0))) [input p6]
14. ? [X0] : ~happy(X0) <=> (tall(lucy) & kind... | 0 |
If someone is both creative and patient then someone is both quiet and strong and vice versa. Everyone who is not old or curious is both happy and not strong. Everyone who is both not quiet and generous is not tall. If someone is both funny and happy then someone is both brave and happy. Everyone who is either not funn... | John is creative. | contradiction | ((?[X]:((creative(X)&patient(X))))<=>(?[X]:((quiet(X)&strong(X)))))&
(![X]:((~old(X)|curious(X))=>(happy(X)&~strong(X))))&
(![X]:((~quiet(X)&generous(X))=>~tall(X)))&
((?[X]:((funny(X)&happy(X))))=>(?[X]:((brave(X)&happy(X)))))&
(![X]:((~funny(X)<~>funny(X))<=>(happy(X)&~old(X))))&
((?[X]:(~tall(X)))=>(?[X]:((~humble(X... | creative(john) | [
"p0",
"p1",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8685672284407879317474961
% SZS output start Proof for 8685672284407879317474961
1. ? [X0] : (patient(X0) & creative(X0)) <=> ? [X0] : (strong(X0) & quiet(X0)) [input p0]
2. ! [X0] : ((curious(X0) | ~old(X0)) => (~strong(X0) & happy(X0))) [input p1]
5. ! [X0] : ((~funny(X0) <~> funny(X0))... | 0 |
Everyone who is either strong or not tall is either patient or not humble and vice versa.
If lucy is either not wise or rich then someone is either calm or happy.
Everyone who is not humble is not strong.
If someone is not old then someone is both rich and not brave.
Everyone who is both patient and not rich is not tal... | Paul is humble. | entailment | (![X]:((strong(X)<~>~tall(X))<=>(patient(X)<~>~humble(X))))&
(((~wise(lucy)<~>rich(lucy)))=>(?[X]:((calm(X)<~>happy(X)))))&
(![X]:(~humble(X)=>~strong(X)))&
((?[X]:(~old(X)))=>(?[X]:((rich(X)&~brave(X)))))&
(![X]:((patient(X)&~rich(X))<=>(~tall(X)|wise(X))))&
(![X]:(old(X)<=>(~creative(X)&kind(X))))&
(![X]:(funny(X)=>(... | humble(paul) | [
"p0",
"p2",
"p4",
"p9",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 583939387625713223615888
% SZS output start Proof for 583939387625713223615888
1. ! [X0] : ((strong(X0) <~> ~tall(X0)) <=> (patient(X0) <~> ~humble(X0))) [input p0]
3. ! [X0] : (~humble(X0) => ~strong(X0)) [input p2]
5. ! [X0] : ((~rich(X0) & patient(X0)) <=> (wise(X0) | ~tall(X0))) [inpu... | 0 |
Everyone who is creative or funny is either not brave or not humble and vice versa.
If someone is both creative and happy then someone is either happy or not humble and vice versa.
Everyone who is curious or tall is brave.
Everyone who is creative or not funny is not creative and vice versa.
If someone is not funny or ... | Mary is wise. | contradiction | (![X]:((creative(X)|funny(X))<=>(~brave(X)<~>~humble(X))))&
((?[X]:((creative(X)&happy(X))))<=>(?[X]:((happy(X)<~>~humble(X)))))&
(![X]:((curious(X)|tall(X))=>brave(X)))&
(![X]:((creative(X)|~funny(X))<=>~creative(X)))&
((?[X]:((~funny(X)|~strong(X))))=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((~generous(X)|~curious... | wise(mary) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8047852219115892396244069
% SZS output start Proof for 8047852219115892396244069
1. ! [X0] : ((funny(X0) | creative(X0)) <=> (~brave(X0) <~> ~humble(X0))) [input p0]
3. ! [X0] : ((tall(X0) | curious(X0)) => brave(X0)) [input p2]
4. ! [X0] : ((~funny(X0) | creative(X0)) <=> ~creative(X0)) ... | 0 |
Everyone who is both not creative and not old is either wise or happy.
Everyone who is not strong is either not happy or kind.
Everyone who is not happy is both not rich and not happy and vice versa.
If fred is either funny or happy then alice is not rich.
Everyone who is not curious or not tall is not happy or not old... | Susan is not wise. | neutral | (![X]:((~creative(X)&~old(X))=>(wise(X)<~>happy(X))))&
(![X]:(~strong(X)=>(~happy(X)<~>kind(X))))&
(![X]:(~happy(X)<=>(~rich(X)&~happy(X))))&
(((funny(fred)<~>happy(fred)))=>(~rich(alice)))&
(![X]:((~curious(X)|~tall(X))=>(~happy(X)|~old(X))))&
(((quiet(fred)<~>funny(fred)))<=>(?[X]:((~patient(X)&~calm(X)))))&
(![X]:((... | ~wise(susan) | [] | null | 0 |
If john is not tall then someone is patient and vice versa.
Everyone who is both not tall and rich is either happy or quiet.
If someone is either humble or not quiet then fred is not humble and vice versa.
Everyone who is not curious is not quiet.
If someone is not quiet then susan is strong and vice versa.
If someone ... | John is patient. | entailment | ((~tall(john))<=>(?[X]:(patient(X))))&
(![X]:((~tall(X)&rich(X))=>(happy(X)<~>quiet(X))))&
((?[X]:((humble(X)<~>~quiet(X))))<=>(~humble(fred)))&
(![X]:(~curious(X)=>~quiet(X)))&
((?[X]:(~quiet(X)))<=>(strong(susan)))&
((?[X]:((~funny(X)<~>~rich(X))))=>((~old(fred)|~patient(fred))))&
(![X]:(patient(X)<=>~tall(X)))&
(![X... | patient(john) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2848372223511022423245271
% SZS output start Proof for 2848372223511022423245271
7. ! [X0] : (patient(X0) <=> ~tall(X0)) [input p6]
17. funny(john) & ~tall(john) [input p16]
25. ~patient(john) [input hypothesis]
55. ! [X0] : ((patient(X0) | tall(X0)) & (~tall(X0) | ~patient(X0))) [nnf tra... | 0 |
If someone is either not old or not creative then alice is either not wise or not happy and vice versa. If someone is not brave then lucy is both not old and funny. If someone is not wise or happy then someone is not tall and vice versa. Everyone who is strong is both kind and not wise. If mary is both rich and not kin... | Susan is not happy. | contradiction | ((?[X]:((~old(X)<~>~creative(X))))<=>((~wise(alice)<~>~happy(alice))))&
((?[X]:(~brave(X)))=>((~old(lucy)&funny(lucy))))&
((?[X]:((~wise(X)|happy(X))))<=>(?[X]:(~tall(X))))&
(![X]:(strong(X)=>(kind(X)&~wise(X))))&
(((rich(mary)&~kind(mary)))=>(?[X]:((humble(X)<~>~patient(X)))))&
((?[X]:(~old(X)))=>((happy(susan)<~>curi... | ~happy(susan) | [
"p8",
"p9",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3402769534916808224420624
% SZS output start Proof for 3402769534916808224420624
9. ! [X0] : (~brave(X0) <=> (~old(X0) | ~happy(X0))) [input p8]
10. ! [X0] : ((patient(X0) | ~brave(X0)) => (funny(X0) & tall(X0))) [input p9]
24. happy(susan) | ~funny(susan) [input p23]
25. ~happy(susan) [i... | 0 |
If alice is strong or tall then susan is not calm or not patient and vice versa.
Everyone who is either not kind or kind is calm.
Everyone who is not quiet is both not rich and generous and vice versa.
If fred is not tall or not patient then someone is either not patient or not funny.
Everyone who is both strong and no... | Alice is not calm. | contradiction | (((strong(alice)|tall(alice)))<=>((~calm(susan)|~patient(susan))))&
(![X]:((~kind(X)<~>kind(X))=>calm(X)))&
(![X]:(~quiet(X)<=>(~rich(X)&generous(X))))&
(((~tall(fred)|~patient(fred)))=>(?[X]:((~patient(X)<~>~funny(X)))))&
(![X]:((strong(X)&~quiet(X))<=>(~funny(X)|~happy(X))))&
(![X]:((humble(X)|generous(X))=>(~humble(... | ~calm(alice) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8101885096572986579245397
% SZS output start Proof for 8101885096572986579245397
2. ! [X0] : ((~kind(X0) <~> kind(X0)) => calm(X0)) [input p1]
25. ~calm(alice) [input hypothesis]
30. ! [X0] : (calm(X0) | (~kind(X0) <=> kind(X0))) [ennf transformation 2]
43. ! [X0] : (calm(X0) | ((~kind(X0... | 0 |
Everyone who is quiet is kind and vice versa.
If susan is both old and kind then someone is both not strong and not creative and vice versa.
Everyone who is not quiet is not creative or not generous.
Everyone who is both curious and not patient is both brave and rich.
Everyone who is generous is either not old or quiet... | Fred is wise. | neutral | (![X]:(quiet(X)<=>kind(X)))&
(((old(susan)&kind(susan)))<=>(?[X]:((~strong(X)&~creative(X)))))&
(![X]:(~quiet(X)=>(~creative(X)|~generous(X))))&
(![X]:((curious(X)&~patient(X))=>(brave(X)&rich(X))))&
(![X]:(generous(X)=>(~old(X)<~>quiet(X))))&
(![X]:((humble(X)&~calm(X))<=>(happy(X)|kind(X))))&
((?[X]:((generous(X)&~wi... | wise(fred) | [] | null | 0 |
If someone is either calm or not funny then lucy is both happy and generous and vice versa.
If paul is tall then someone is brave or calm and vice versa.
Everyone who is brave or humble is both rich and not wise and vice versa.
If someone is either not humble or not creative then paul is not creative and vice versa.
If... | Lucy is happy. | neutral | ((?[X]:((calm(X)<~>~funny(X))))<=>((happy(lucy)&generous(lucy))))&
((tall(paul))<=>(?[X]:((brave(X)|calm(X)))))&
(![X]:((brave(X)|humble(X))<=>(rich(X)&~wise(X))))&
((?[X]:((~humble(X)<~>~creative(X))))<=>(~creative(paul)))&
((?[X]:(tall(X)))<=>(?[X]:((~patient(X)|creative(X)))))&
((?[X]:((~brave(X)<~>~wise(X))))<=>(?[... | happy(lucy) | [] | null | 0 |
If someone is curious or not strong then someone is either calm or kind and vice versa. Everyone who is not humble is both not brave and not wise and vice versa. Everyone who is tall is both not wise and quiet and vice versa. If paul is either humble or strong then someone is kind or not funny and vice versa. Everyone ... | Mary is brave. | contradiction | ((?[X]:((curious(X)|~strong(X))))<=>(?[X]:((calm(X)<~>kind(X)))))&
(![X]:(~humble(X)<=>(~brave(X)&~wise(X))))&
(![X]:(tall(X)<=>(~wise(X)&quiet(X))))&
(((humble(paul)<~>strong(paul)))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((~humble(X)&brave(X))=>(~generous(X)<~>~rich(X))))&
(![X]:((~brave(X)<~>~strong(X))=>(tall(X)|ca... | brave(mary) | [
"p1",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8391636013745322863176706
% SZS output start Proof for 8391636013745322863176706
2. ! [X0] : (~humble(X0) <=> (~wise(X0) & ~brave(X0))) [input p1]
8. ! [X0] : ((calm(X0) <~> ~calm(X0)) <=> (~humble(X0) & ~tall(X0))) [input p7]
24. brave(mary) [input hypothesis]
43. ! [X0] : ((~humble(X0) ... | 0 |
If alice is either wise or not patient then fred is both old and not funny and vice versa.
Everyone who is not generous or not quiet is both rich and kind and vice versa.
If paul is not quiet or kind then someone is both not creative and not calm and vice versa.
If paul is both not quiet and quiet then paul is both not... | Paul is not patient. | neutral | (((wise(alice)<~>~patient(alice)))<=>((old(fred)&~funny(fred))))&
(![X]:((~generous(X)|~quiet(X))<=>(rich(X)&kind(X))))&
(((~quiet(paul)|kind(paul)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(((~quiet(paul)&quiet(paul)))<=>((~creative(paul)&brave(paul))))&
(![X]:((generous(X)|~patient(X))<=>~happy(X)))&
((~wise(alice))=>((... | ~patient(paul) | [] | null | 0 |
Everyone who is generous is brave and vice versa.
Everyone who is either calm or creative is brave or not brave.
Everyone who is both not funny and not humble is generous or curious and vice versa.
Everyone who is wise is not brave or not humble.
Everyone who is strong is either humble or not funny and vice versa.
Ever... | Alice is not funny. | entailment | (![X]:(generous(X)<=>brave(X)))&
(![X]:((calm(X)<~>creative(X))=>(brave(X)|~brave(X))))&
(![X]:((~funny(X)&~humble(X))<=>(generous(X)|curious(X))))&
(![X]:(wise(X)=>(~brave(X)|~humble(X))))&
(![X]:(strong(X)<=>(humble(X)<~>~funny(X))))&
(![X]:((wise(X)|~rich(X))=>quiet(X)))&
((?[X]:((~humble(X)|~curious(X))))<=>(?[X]:(... | ~funny(alice) | [
"p2",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 205464277521646685295951
% SZS output start Proof for 205464277521646685295951
3. ! [X0] : ((~humble(X0) & ~funny(X0)) <=> (curious(X0) | generous(X0))) [input p2]
11. ! [X0] : ((~generous(X0) & humble(X0)) <=> (humble(X0) <~> generous(X0))) [input p10]
15. ! [X0] : ((generous(X0) & creat... | 0 |
Everyone who is old or not patient is calm or not rich and vice versa.
If someone is either not creative or not tall then someone is either not rich or not curious and vice versa.
If someone is both strong and wise then mary is both not humble and not generous and vice versa.
If someone is either creative or not creati... | John is generous. | contradiction | (![X]:((old(X)|~patient(X))<=>(calm(X)|~rich(X))))&
((?[X]:((~creative(X)<~>~tall(X))))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
((?[X]:((strong(X)&wise(X))))<=>((~humble(mary)&~generous(mary))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(generous(mary)))&
(((generous(lucy)<~>rich(lucy)))=>((~generous(alice)&curious(alice... | generous(john) | [
"p0",
"p6",
"p7",
"p9",
"p10",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9130890892551105470335900
% SZS output start Proof for 9130890892551105470335900
1. ! [X0] : ((~patient(X0) | old(X0)) <=> (~rich(X0) | calm(X0))) [input p0]
7. (~patient(alice) & ~creative(alice)) <=> ? [X0] : (brave(X0) <~> wise(X0)) [input p6]
8. ! [X0] : ((wise(X0) <~> ~rich(X0)) => p... | 0 |
If someone is not happy or curious then someone is patient or not calm.
Everyone who is rich or not calm is not wise or not funny.
Everyone who is patient or not humble is both curious and not calm.
If alice is both not brave and not creative then susan is calm and vice versa.
If someone is not rich or brave then john ... | Lucy is wise. | entailment | ((?[X]:((~happy(X)|curious(X))))=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:((rich(X)|~calm(X))=>(~wise(X)|~funny(X))))&
(![X]:((patient(X)|~humble(X))=>(curious(X)&~calm(X))))&
(((~brave(alice)&~creative(alice)))<=>(calm(susan)))&
((?[X]:((~rich(X)|brave(X))))<=>((~creative(john)<~>rich(john))))&
(((~tall(lucy)&~curious(... | wise(lucy) | [
"p2",
"p5",
"p7",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 9166612019393615877118539
% SZS output start Proof for 9166612019393615877118539
3. ! [X0] : ((~humble(X0) | patient(X0)) => (~calm(X0) & curious(X0))) [input p2]
6. (~curious(lucy) & ~tall(lucy)) <=> ? [X0] : (~funny(X0) | kind(X0)) [input p5]
8. ? [X0] : (funny(X0) | ~generous(X0)) <=> ... | 0 |
Everyone who is kind or not creative is both not generous and strong. If mary is either not creative or humble then fred is either not quiet or quiet. Everyone who is kind is either rich or not quiet and vice versa. Everyone who is patient or not generous is calm or not wise. Everyone who is brave or not generous is ei... | Paul is not rich. | contradiction | (![X]:((kind(X)|~creative(X))=>(~generous(X)&strong(X))))&
(((~creative(mary)<~>humble(mary)))=>((~quiet(fred)<~>quiet(fred))))&
(![X]:(kind(X)<=>(rich(X)<~>~quiet(X))))&
(![X]:((patient(X)|~generous(X))=>(calm(X)|~wise(X))))&
(![X]:((brave(X)|~generous(X))<=>(~kind(X)<~>kind(X))))&
(![X]:(funny(X)=>strong(X)))&
(![X]:... | ~rich(paul) | [
"p0",
"p2",
"p3",
"p6",
"p9",
"p10",
"p12",
"p13",
"p17",
"p18",
"p19",
"p20",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 2183316035757044707408721
% SZS output start Proof for 2183316035757044707408721
1. ! [X0] : ((~creative(X0) | kind(X0)) => (strong(X0) & ~generous(X0))) [input p0]
3. ! [X0] : (kind(X0) <=> (rich(X0) <~> ~quiet(X0))) [input p2]
4. ! [X0] : ((~generous(X0) | patient(X0)) => (~wise(X0) | c... | 0 |
If someone is both not calm and not generous then someone is both old and funny and vice versa.
Everyone who is either kind or calm is either not happy or strong.
If someone is either not quiet or patient then someone is both old and not creative and vice versa.
Everyone who is both rich and not brave is either not ric... | Alice is rich. | neutral | ((?[X]:((~calm(X)&~generous(X))))<=>(?[X]:((old(X)&funny(X)))))&
(![X]:((kind(X)<~>calm(X))=>(~happy(X)<~>strong(X))))&
((?[X]:((~quiet(X)<~>patient(X))))<=>(?[X]:((old(X)&~creative(X)))))&
(![X]:((rich(X)&~brave(X))<=>(~rich(X)<~>~funny(X))))&
((?[X]:((old(X)|~quiet(X))))<=>(?[X]:((~brave(X)&funny(X)))))&
((?[X]:((cal... | rich(alice) | [] | null | 0 |
Everyone who is both patient and quiet is not curious or not quiet.
If someone is both calm and tall then someone is both tall and funny and vice versa.
If fred is funny then mary is not calm or not wise and vice versa.
Everyone who is not creative is both not funny and rich.
If someone is not kind then fred is not hum... | Fred is quiet. | entailment | (![X]:((patient(X)&quiet(X))=>(~curious(X)|~quiet(X))))&
((?[X]:((calm(X)&tall(X))))<=>(?[X]:((tall(X)&funny(X)))))&
((funny(fred))<=>((~calm(mary)|~wise(mary))))&
(![X]:(~creative(X)=>(~funny(X)&rich(X))))&
((?[X]:(~kind(X)))<=>((~humble(fred)|~tall(fred))))&
(![X]:((humble(X)&curious(X))<=>(wise(X)&~humble(X))))&
(![... | quiet(fred) | [
"p10",
"p12",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2397123512511894429398402
% SZS output start Proof for 2397123512511894429398402
11. ! [X0] : ((old(X0) & ~creative(X0)) <=> (~tall(X0) <~> calm(X0))) [input p10]
13. ! [X0] : ((~old(X0) & ~strong(X0)) <=> (~tall(X0) | ~strong(X0))) [input p12]
16. ! [X0] : (~tall(X0) <=> ~quiet(X0)) [inp... | 0 |
If mary is both not rich and strong then someone is not funny.
Everyone who is old or not brave is both not happy and generous.
Everyone who is generous is calm and vice versa.
If paul is either quiet or not generous then paul is either old or not rich.
If lucy is patient then alice is either not wise or not calm and v... | Paul is brave. | contradiction | (((~rich(mary)&strong(mary)))=>(?[X]:(~funny(X))))&
(![X]:((old(X)|~brave(X))=>(~happy(X)&generous(X))))&
(![X]:(generous(X)<=>calm(X)))&
(((quiet(paul)<~>~generous(paul)))=>((old(paul)<~>~rich(paul))))&
((patient(lucy))<=>((~wise(alice)<~>~calm(alice))))&
(((humble(paul)|~wise(paul)))<=>((strong(lucy)|~happy(lucy))))&... | brave(paul) | [
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 597085884465309890344777
% SZS output start Proof for 597085884465309890344777
11. ! [X0] : (patient(X0) => (~tall(X0) & ~brave(X0))) [input p10]
13. ! [X0] : ((generous(X0) & patient(X0)) <=> tall(X0)) [input p12]
14. ! [X0] : ((tall(X0) | patient(X0)) <=> brave(X0)) [input p13]
20. brav... | 0 |
Everyone who is either not wise or quiet is either curious or not curious and vice versa. If someone is both not tall and rich then lucy is not tall or not quiet. Everyone who is patient is not brave or patient and vice versa. Everyone who is tall or funny is not humble and vice versa. If someone is both not old and no... | Paul is funny. | neutral | (![X]:((~wise(X)<~>quiet(X))<=>(curious(X)<~>~curious(X))))&
((?[X]:((~tall(X)&rich(X))))=>((~tall(lucy)|~quiet(lucy))))&
(![X]:(patient(X)<=>(~brave(X)|patient(X))))&
(![X]:((tall(X)|funny(X))<=>~humble(X)))&
((?[X]:((~old(X)&~strong(X))))<=>(~funny(lucy)))&
(![X]:((~happy(X)<~>~wise(X))=>(~calm(X)|~happy(X))))&
((?[X... | funny(paul) | [] | null | 0 |
Everyone who is both old and not wise is humble or not brave and vice versa.
Everyone who is either not brave or happy is not patient and vice versa.
If susan is either not patient or old then someone is not generous and vice versa.
Everyone who is not curious is curious or creative.
If someone is not brave then john i... | Susan is not generous. | entailment | (![X]:((old(X)&~wise(X))<=>(humble(X)|~brave(X))))&
(![X]:((~brave(X)<~>happy(X))<=>~patient(X)))&
(((~patient(susan)<~>old(susan)))<=>(?[X]:(~generous(X))))&
(![X]:(~curious(X)=>(curious(X)|creative(X))))&
((?[X]:(~brave(X)))=>((generous(john)<~>calm(john))))&
(![X]:((creative(X)&~patient(X))=>kind(X)))&
((?[X]:((~kin... | ~generous(susan) | [
"p0",
"p1",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6639864356236649893617825
% SZS output start Proof for 6639864356236649893617825
1. ! [X0] : ((~wise(X0) & old(X0)) <=> (~brave(X0) | humble(X0))) [input p0]
2. ! [X0] : ((~brave(X0) <~> happy(X0)) <=> ~patient(X0)) [input p1]
8. ! [X0] : ((~tall(X0) & ~funny(X0)) <=> (~happy(X0) <~> ~pat... | 0 |
If someone is curious or not humble then fred is not funny and vice versa. If john is not wise then fred is both generous and not happy and vice versa. If someone is either not wise or not funny then someone is not brave. If john is not generous or creative then someone is patient or not happy. Everyone who is happy or... | John is not strong. | neutral | ((?[X]:((curious(X)|~humble(X))))<=>(~funny(fred)))&
((~wise(john))<=>((generous(fred)&~happy(fred))))&
((?[X]:((~wise(X)<~>~funny(X))))=>(?[X]:(~brave(X))))&
(((~generous(john)|creative(john)))=>(?[X]:((patient(X)|~happy(X)))))&
(![X]:((happy(X)|generous(X))<=>(wise(X)|brave(X))))&
(![X]:((~tall(X)|~rich(X))=>(humble(... | ~strong(john) | [] | null | 0 |
If john is wise then someone is both creative and not creative.
Everyone who is both brave and happy is not calm and vice versa.
If alice is either funny or patient then someone is both not strong and creative.
Everyone who is both not patient and patient is rich or funny.
Everyone who is not calm or old is not funny o... | Mary is wise. | neutral | ((wise(john))=>(?[X]:((creative(X)&~creative(X)))))&
(![X]:((brave(X)&happy(X))<=>~calm(X)))&
(((funny(alice)<~>patient(alice)))=>(?[X]:((~strong(X)&creative(X)))))&
(![X]:((~patient(X)&patient(X))=>(rich(X)|funny(X))))&
(![X]:((~calm(X)|old(X))<=>(~funny(X)|~rich(X))))&
(![X]:((~humble(X)<~>~tall(X))=>(funny(X)&~humbl... | wise(mary) | [] | null | 0 |
Everyone who is not happy or brave is creative.
If someone is not funny or not kind then mary is not humble or not tall and vice versa.
If someone is tall then someone is either not tall or not quiet and vice versa.
Everyone who is both not curious and creative is either calm or funny.
Everyone who is both happy and no... | Fred is not old. | contradiction | (![X]:((~happy(X)|brave(X))=>creative(X)))&
((?[X]:((~funny(X)|~kind(X))))<=>((~humble(mary)|~tall(mary))))&
((?[X]:(tall(X)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((~curious(X)&creative(X))=>(calm(X)<~>funny(X))))&
(![X]:((happy(X)&~humble(X))<=>(humble(X)&~old(X))))&
((?[X]:((old(X)&rich(X))))<=>(?[X]:((brave(X)... | ~old(fred) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3185027709261212301469746
% SZS output start Proof for 3185027709261212301469746
5. ! [X0] : ((~humble(X0) & happy(X0)) <=> (~old(X0) & humble(X0))) [input p4]
11. ! [X0] : ((creative(X0) | ~old(X0)) => humble(X0)) [input p10]
25. ~old(fred) [input hypothesis]
39. ! [X0] : (humble(X0) | (... | 0 |
Everyone who is quiet is either rich or happy and vice versa.
Everyone who is both not calm and creative is not curious.
If someone is calm or quiet then someone is both generous and not old.
Everyone who is both not strong and not humble is not brave.
If someone is not old or not brave then someone is generous.
If som... | John is not rich. | neutral | (![X]:(quiet(X)<=>(rich(X)<~>happy(X))))&
(![X]:((~calm(X)&creative(X))=>~curious(X)))&
((?[X]:((calm(X)|quiet(X))))=>(?[X]:((generous(X)&~old(X)))))&
(![X]:((~strong(X)&~humble(X))=>~brave(X)))&
((?[X]:((~old(X)|~brave(X))))=>(?[X]:(generous(X))))&
((?[X]:((creative(X)<~>~tall(X))))<=>(?[X]:(~old(X))))&
((?[X]:((gener... | ~rich(john) | [] | null | 0 |
If someone is both generous and quiet then someone is curious.
Everyone who is both not quiet and not humble is either funny or not humble.
Everyone who is both not kind and wise is both curious and strong and vice versa.
Everyone who is both humble and tall is both not generous and funny and vice versa.
If john is eit... | John is old. | contradiction | ((?[X]:((generous(X)&quiet(X))))=>(?[X]:(curious(X))))&
(![X]:((~quiet(X)&~humble(X))=>(funny(X)<~>~humble(X))))&
(![X]:((~kind(X)&wise(X))<=>(curious(X)&strong(X))))&
(![X]:((humble(X)&tall(X))<=>(~generous(X)&funny(X))))&
(((old(john)<~>~curious(john)))<=>(?[X]:(quiet(X))))&
((?[X]:((~calm(X)|humble(X))))=>(?[X]:((ta... | old(john) | [
"p2",
"p11",
"p12",
"p15",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4021422572283604697473068
% SZS output start Proof for 4021422572283604697473068
3. ! [X0] : ((wise(X0) & ~kind(X0)) <=> (strong(X0) & curious(X0))) [input p2]
12. ! [X0] : ((curious(X0) <~> ~strong(X0)) => (kind(X0) & ~curious(X0))) [input p11]
13. ! [X0] : ((calm(X0) | ~patient(X0)) => ... | 0 |
Everyone who is not brave is either not strong or rich and vice versa.
If someone is either happy or generous then mary is both brave and not quiet and vice versa.
Everyone who is not strong is not wise and vice versa.
Everyone who is not quiet or not happy is both creative and not funny.
If someone is both quiet and n... | Mary is not kind. | contradiction | (![X]:(~brave(X)<=>(~strong(X)<~>rich(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>((brave(mary)&~quiet(mary))))&
(![X]:(~strong(X)<=>~wise(X)))&
(![X]:((~quiet(X)|~happy(X))=>(creative(X)&~funny(X))))&
((?[X]:((quiet(X)&~patient(X))))=>(~humble(fred)))&
(![X]:((creative(X)&tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((gen... | ~kind(mary) | [
"p2",
"p5",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8813880837914661016925745
% SZS output start Proof for 8813880837914661016925745
3. ! [X0] : (~strong(X0) <=> ~wise(X0)) [input p2]
6. ! [X0] : ((tall(X0) & creative(X0)) <=> (~happy(X0) | ~kind(X0))) [input p5]
7. ! [X0] : ((~quiet(X0) | generous(X0)) => (wise(X0) & ~patient(X0))) [input... | 0 |
Everyone who is both humble and not tall is either not tall or not curious.
If mary is either not old or happy then paul is both happy and creative.
Everyone who is both not creative and not kind is not old and vice versa.
If paul is either not calm or not tall then someone is either not strong or not brave and vice ve... | Paul is quiet. | entailment | (![X]:((humble(X)&~tall(X))=>(~tall(X)<~>~curious(X))))&
(((~old(mary)<~>happy(mary)))=>((happy(paul)&creative(paul))))&
(![X]:((~creative(X)&~kind(X))<=>~old(X)))&
(((~calm(paul)<~>~tall(paul)))<=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:(~old(X)<=>~happy(X)))&
(![X]:((~generous(X)<~>~humble(X))<=>(~old(X)<~>quiet(X)... | quiet(paul) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1033692721894000960412849
% SZS output start Proof for 1033692721894000960412849
2. (~old(mary) <~> happy(mary)) => (creative(paul) & happy(paul)) [input p1]
3. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> ~old(X0)) [input p2]
5. ! [X0] : (~old(X0) <=> ~happy(X0)) [input p4]
6. ! [X0] : ((~g... | 0 |
Everyone who is either not generous or not strong is creative or patient.
Everyone who is creative is either tall or patient.
If alice is either not brave or tall then someone is old.
Everyone who is either wise or not patient is either not calm or old and vice versa.
Everyone who is both funny and tall is both not fun... | Mary is not rich. | entailment | (![X]:((~generous(X)<~>~strong(X))=>(creative(X)|patient(X))))&
(![X]:(creative(X)=>(tall(X)<~>patient(X))))&
(((~brave(alice)<~>tall(alice)))=>(?[X]:(old(X))))&
(![X]:((wise(X)<~>~patient(X))<=>(~calm(X)<~>old(X))))&
(![X]:((funny(X)&tall(X))<=>(~funny(X)&happy(X))))&
(![X]:((brave(X)&kind(X))<=>old(X)))&
(((brave(joh... | ~rich(mary) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p13",
"p20",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1889693006892139238289906
% SZS output start Proof for 1889693006892139238289906
2. ! [X0] : (creative(X0) => (tall(X0) <~> patient(X0))) [input p1]
5. ! [X0] : ((tall(X0) & funny(X0)) <=> (happy(X0) & ~funny(X0))) [input p4]
6. ! [X0] : ((kind(X0) & brave(X0)) <=> old(X0)) [input p5]
9. ... | 0 |
Everyone who is either curious or not old is curious or not kind.
Everyone who is patient or not kind is either not happy or not brave.
If someone is kind then someone is brave and vice versa.
Everyone who is curious is not quiet and vice versa.
Everyone who is not brave is both humble and not strong.
If someone is eit... | Mary is not curious. | contradiction | (![X]:((curious(X)<~>~old(X))=>(curious(X)|~kind(X))))&
(![X]:((patient(X)|~kind(X))=>(~happy(X)<~>~brave(X))))&
((?[X]:(kind(X)))<=>(?[X]:(brave(X))))&
(![X]:(curious(X)<=>~quiet(X)))&
(![X]:(~brave(X)=>(humble(X)&~strong(X))))&
((?[X]:((~happy(X)<~>~strong(X))))=>(?[X]:((rich(X)|strong(X)))))&
((?[X]:((patient(X)&ric... | ~curious(mary) | [
"p3",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8973874304762100720210614
% SZS output start Proof for 8973874304762100720210614
4. ! [X0] : (curious(X0) <=> ~quiet(X0)) [input p3]
11. ? [X0] : calm(X0) <=> ~quiet(mary) [input p10]
23. ? [X0] : (calm(X0) & ~brave(X0)) [input p22]
25. ~curious(mary) [input hypothesis]
46. ! [X0] : ((cur... | 0 |
Everyone who is funny is calm or curious and vice versa.
Everyone who is not funny is not old or happy.
If someone is both curious and not old then someone is either funny or happy.
Everyone who is not strong or funny is not patient.
If john is not kind or not brave then someone is not patient or quiet and vice versa.
... | Susan is kind. | entailment | (![X]:(funny(X)<=>(calm(X)|curious(X))))&
(![X]:(~funny(X)=>(~old(X)|happy(X))))&
((?[X]:((curious(X)&~old(X))))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((~strong(X)|funny(X))=>~patient(X)))&
(((~kind(john)|~brave(john)))<=>(?[X]:((~patient(X)|quiet(X)))))&
((?[X]:(~humble(X)))<=>(?[X]:((~brave(X)&kind(X)))))&
(((patie... | kind(susan) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6676497007298006123169629
% SZS output start Proof for 6676497007298006123169629
18. kind(susan) [input p17]
25. ~kind(susan) [input hypothesis]
131. kind(susan) [cnf transformation 18]
141. ~kind(susan) [cnf transformation 25]
227. 20 <=> kind(susan) [avatar definition]
310. 20 [avatar s... | 0 |
Everyone who is funny or wise is either not wise or not old.
If someone is both patient and not patient then mary is either funny or not calm and vice versa.
Everyone who is either not creative or brave is both not tall and happy.
If someone is either funny or not funny then someone is both not happy and brave and vice... | Fred is not kind. | entailment | (![X]:((funny(X)|wise(X))=>(~wise(X)<~>~old(X))))&
((?[X]:((patient(X)&~patient(X))))<=>((funny(mary)<~>~calm(mary))))&
(![X]:((~creative(X)<~>brave(X))=>(~tall(X)&happy(X))))&
((?[X]:((funny(X)<~>~funny(X))))<=>(?[X]:((~happy(X)&brave(X)))))&
((?[X]:(calm(X)))<=>(?[X]:((~brave(X)|wise(X)))))&
((brave(alice))=>(?[X]:((... | ~kind(fred) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8260736100508097613917471
% SZS output start Proof for 8260736100508097613917471
7. ! [X0] : ((~funny(X0) & ~rich(X0)) <=> (~rich(X0) <~> rich(X0))) [input p6]
14. ? [X0] : (~kind(X0) & rich(X0)) <=> ? [X0] : kind(X0) [input p13]
25. kind(fred) [input hypothesis]
30. ? [X0] : (~kind(X0) &... | 0 |
Everyone who is not creative is either funny or not kind.
If someone is either kind or not strong then susan is tall or not creative.
Everyone who is kind or curious is calm.
If someone is tall then paul is both not patient and happy and vice versa.
Everyone who is either not patient or not curious is wise and vice ver... | Lucy is generous. | neutral | (![X]:(~creative(X)=>(funny(X)<~>~kind(X))))&
((?[X]:((kind(X)<~>~strong(X))))=>((tall(susan)|~creative(susan))))&
(![X]:((kind(X)|curious(X))=>calm(X)))&
((?[X]:(tall(X)))<=>((~patient(paul)&happy(paul))))&
(![X]:((~patient(X)<~>~curious(X))<=>wise(X)))&
(((~curious(fred)|patient(fred)))=>((kind(paul)<~>~wise(paul))))... | generous(lucy) | [] | null | 0 |
If someone is happy or curious then someone is not rich or old.
Everyone who is brave or happy is both not quiet and not humble and vice versa.
Everyone who is not rich is either tall or rich and vice versa.
Everyone who is either humble or not rich is not old and vice versa.
Everyone who is either rich or not wise is ... | Paul is strong. | entailment | ((?[X]:((happy(X)|curious(X))))=>(?[X]:((~rich(X)|old(X)))))&
(![X]:((brave(X)|happy(X))<=>(~quiet(X)&~humble(X))))&
(![X]:(~rich(X)<=>(tall(X)<~>rich(X))))&
(![X]:((humble(X)<~>~rich(X))<=>~old(X)))&
(![X]:((rich(X)<~>~wise(X))=>happy(X)))&
(![X]:(happy(X)=>(rich(X)<~>~quiet(X))))&
(![X]:(patient(X)=>~quiet(X)))&
((?[... | strong(paul) | [
"p1",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5462726397855543822998289
% SZS output start Proof for 5462726397855543822998289
2. ! [X0] : ((happy(X0) | brave(X0)) <=> (~humble(X0) & ~quiet(X0))) [input p1]
10. ! [X0] : ((~humble(X0) | rich(X0)) => (happy(X0) & ~brave(X0))) [input p9]
16. ! [X0] : ((strong(X0) & ~creative(X0)) <=> ~b... | 0 |
Everyone who is not curious is either rich or creative.
Everyone who is either funny or kind is not curious or creative.
If susan is not brave then someone is not happy or not rich.
If susan is strong or tall then paul is not strong or not tall and vice versa.
Everyone who is both not kind and not tall is not tall.
Eve... | Lucy is not wise. | neutral | (![X]:(~curious(X)=>(rich(X)<~>creative(X))))&
(![X]:((funny(X)<~>kind(X))=>(~curious(X)|creative(X))))&
((~brave(susan))=>(?[X]:((~happy(X)|~rich(X)))))&
(((strong(susan)|tall(susan)))<=>((~strong(paul)|~tall(paul))))&
(![X]:((~kind(X)&~tall(X))=>~tall(X)))&
(![X]:((generous(X)|rich(X))<=>~funny(X)))&
(![X]:((~calm(X)... | ~wise(lucy) | [] | null | 0 |
If lucy is not funny then mary is either not calm or quiet.
Everyone who is both old and not quiet is not calm.
If john is creative then someone is both not curious and not patient and vice versa.
If susan is both not strong and not calm then someone is tall or not brave and vice versa.
Everyone who is either not brave... | John is not kind. | contradiction | ((~funny(lucy))=>((~calm(mary)<~>quiet(mary))))&
(![X]:((old(X)&~quiet(X))=>~calm(X)))&
((creative(john))<=>(?[X]:((~curious(X)&~patient(X)))))&
(((~strong(susan)&~calm(susan)))<=>(?[X]:((tall(X)|~brave(X)))))&
(![X]:((~brave(X)<~>~happy(X))=>(funny(X)<~>happy(X))))&
(((~calm(john)&~tall(john)))<=>((humble(john)&wise(j... | ~kind(john) | [
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8116589365830345528519858
% SZS output start Proof for 8116589365830345528519858
8. ? [X0] : (humble(X0) & ~strong(X0)) <=> ? [X0] : (~kind(X0) | ~strong(X0)) [input p7]
9. ! [X0] : ((humble(X0) & patient(X0)) <=> ~patient(X0)) [input p8]
23. ~kind(john) [input hypothesis]
24. ? [X0] : (h... | 0 |
Everyone who is old or not patient is calm or not rich and vice versa.
If someone is either not creative or not tall then someone is either not rich or not curious and vice versa.
If someone is both strong and wise then mary is both not humble and not generous and vice versa.
If someone is either creative or not creati... | Alice is not rich. | entailment | (![X]:((old(X)|~patient(X))<=>(calm(X)|~rich(X))))&
((?[X]:((~creative(X)<~>~tall(X))))<=>(?[X]:((~rich(X)<~>~curious(X)))))&
((?[X]:((strong(X)&wise(X))))<=>((~humble(mary)&~generous(mary))))&
((?[X]:((creative(X)<~>~creative(X))))<=>(generous(mary)))&
(((generous(lucy)<~>rich(lucy)))=>((~generous(alice)&curious(alice... | ~rich(alice) | [
"p0",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4542405150323521352396203
% SZS output start Proof for 4542405150323521352396203
1. ! [X0] : ((~patient(X0) | old(X0)) <=> (~rich(X0) | calm(X0))) [input p0]
8. ! [X0] : ((wise(X0) <~> ~rich(X0)) => patient(X0)) [input p7]
14. ! [X0] : (~wise(X0) <=> (~tall(X0) & ~calm(X0))) [input p13]
1... | 0 |
If someone is not wise or kind then someone is not humble.
If someone is both not happy and not funny then someone is both wise and not kind and vice versa.
If mary is not happy then alice is either not tall or humble.
Everyone who is either quiet or kind is not wise and vice versa.
If paul is not curious or funny then... | John is not patient. | entailment | ((?[X]:((~wise(X)|kind(X))))=>(?[X]:(~humble(X))))&
((?[X]:((~happy(X)&~funny(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
((~happy(mary))=>((~tall(alice)<~>humble(alice))))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(paul)|funny(paul)))<=>(?[X]:(~quiet(X))))&
(![X]:(happy(X)<=>(creative(X)&~strong(X))))&
(![X]:(qu... | ~patient(john) | [
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3451618714524444672484557
% SZS output start Proof for 3451618714524444672484557
9. ? [X0] : (~generous(X0) | quiet(X0)) <=> ? [X0] : (~tall(X0) & ~old(X0)) [input p8]
14. ! [X0] : ((wise(X0) | patient(X0)) <=> quiet(X0)) [input p13]
15. ! [X0] : ((generous(X0) & tall(X0)) <=> (~creative(... | 0 |
If paul is either not kind or not patient then someone is not calm or not old and vice versa. Everyone who is not creative is both tall and not rich. If someone is both patient and generous then someone is either brave or tall and vice versa. Everyone who is not happy is not old and vice versa. Everyone who is not kind... | Alice is calm. | neutral | (((~kind(paul)<~>~patient(paul)))<=>(?[X]:((~calm(X)|~old(X)))))&
(![X]:(~creative(X)=>(tall(X)&~rich(X))))&
((?[X]:((patient(X)&generous(X))))<=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:(~happy(X)<=>~old(X)))&
(![X]:(~kind(X)=>(~old(X)&humble(X))))&
(((~strong(john)|patient(john)))<=>(?[X]:(strong(X))))&
(![X]:(patient(X... | calm(alice) | [] | null | 0 |
If someone is either strong or curious then susan is both strong and not strong and vice versa.
Everyone who is not generous is not wise.
Everyone who is both not rich and tall is not generous.
Everyone who is either not funny or rich is patient.
Everyone who is both kind and not generous is either not calm or rich and... | Alice is rich. | entailment | ((?[X]:((strong(X)<~>curious(X))))<=>((strong(susan)&~strong(susan))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~rich(X)&tall(X))=>~generous(X)))&
(![X]:((~funny(X)<~>rich(X))=>patient(X)))&
(![X]:((kind(X)&~generous(X))<=>(~calm(X)<~>rich(X))))&
(![X]:(~generous(X)<=>patient(X)))&
(![X]:(creative(X)<=>(rich(X)<~>~qui... | rich(alice) | [
"p1",
"p4",
"p7",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 9194017285595003154681204
% SZS output start Proof for 9194017285595003154681204
2. ! [X0] : (~generous(X0) => ~wise(X0)) [input p1]
5. ! [X0] : ((~generous(X0) & kind(X0)) <=> (~calm(X0) <~> rich(X0))) [input p4]
8. ? [X0] : (~happy(X0) | kind(X0)) <=> ? [X0] : (~humble(X0) & ~generous(X... | 0 |
Everyone who is either patient or not creative is curious and vice versa.
Everyone who is kind is generous or curious and vice versa.
Everyone who is funny is either not wise or curious and vice versa.
Everyone who is either creative or not tall is calm.
If john is either not tall or old then fred is both not calm and ... | Fred is humble. | contradiction | (![X]:((patient(X)<~>~creative(X))<=>curious(X)))&
(![X]:(kind(X)<=>(generous(X)|curious(X))))&
(![X]:(funny(X)<=>(~wise(X)<~>curious(X))))&
(![X]:((creative(X)<~>~tall(X))=>calm(X)))&
(((~tall(john)<~>old(john)))<=>((~calm(fred)&~patient(fred))))&
(((brave(john)&humble(john)))=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((~b... | humble(fred) | [
"p1",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5048748404980000732129618
% SZS output start Proof for 5048748404980000732129618
2. ! [X0] : (kind(X0) <=> (curious(X0) | generous(X0))) [input p1]
8. ! [X0] : ((~quiet(X0) | ~wise(X0)) <=> ~humble(X0)) [input p7]
10. ! [X0] : ((kind(X0) & generous(X0)) => ~kind(X0)) [input p9]
14. ? [X0]... | 0 |
If john is both not humble and humble then someone is not calm and vice versa. Everyone who is both not brave and strong is either generous or not old. Everyone who is either strong or not brave is either not calm or happy and vice versa. Everyone who is both quiet and not creative is creative. Everyone who is both not... | Alice is not humble. | contradiction | (((~humble(john)&humble(john)))<=>(?[X]:(~calm(X))))&
(![X]:((~brave(X)&strong(X))=>(generous(X)<~>~old(X))))&
(![X]:((strong(X)<~>~brave(X))<=>(~calm(X)<~>happy(X))))&
(![X]:((quiet(X)&~creative(X))=>creative(X)))&
(![X]:((~humble(X)&wise(X))=>(brave(X)&patient(X))))&
((~happy(alice))<=>((rich(lucy)<~>~brave(lucy))))&... | ~humble(alice) | [
"p0",
"p2",
"p4",
"p6",
"p7",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4744540905906053699386384
% SZS output start Proof for 4744540905906053699386384
1. (humble(john) & ~humble(john)) <=> ? [X0] : ~calm(X0) [input p0]
3. ! [X0] : ((strong(X0) <~> ~brave(X0)) <=> (~calm(X0) <~> happy(X0))) [input p2]
5. ! [X0] : ((wise(X0) & ~humble(X0)) => (patient(X0) & b... | 0 |
If someone is not happy or not wise then paul is either not kind or wise and vice versa. Everyone who is not funny or not humble is not creative or wise and vice versa. Everyone who is not happy is not creative or funny. Everyone who is not funny is patient or not kind. If someone is not generous then fred is rich. If ... | Fred is not old. | contradiction | ((?[X]:((~happy(X)|~wise(X))))<=>((~kind(paul)<~>wise(paul))))&
(![X]:((~funny(X)|~humble(X))<=>(~creative(X)|wise(X))))&
(![X]:(~happy(X)=>(~creative(X)|funny(X))))&
(![X]:(~funny(X)=>(patient(X)|~kind(X))))&
((?[X]:(~generous(X)))=>(rich(fred)))&
((?[X]:((~patient(X)&tall(X))))=>((~humble(mary)&~generous(mary))))&
(!... | ~old(fred) | [
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 345207995217566020582141
% SZS output start Proof for 345207995217566020582141
10. ! [X0] : ((creative(X0) & ~creative(X0)) <=> tall(X0)) [input p9]
14. ! [X0] : ((~old(X0) | ~calm(X0)) => (tall(X0) & wise(X0))) [input p13]
24. ~old(fred) [input hypothesis]
34. ! [X0] : ((tall(X0) & wise(... | 0 |
Everyone who is not rich is not brave or strong.
If someone is not brave then lucy is either not kind or not strong.
Everyone who is not humble is both not curious and not old.
If someone is both tall and not brave then someone is both wise and rich and vice versa.
Everyone who is not quiet or not wise is both curious ... | Lucy is happy. | neutral | (![X]:(~rich(X)=>(~brave(X)|strong(X))))&
((?[X]:(~brave(X)))=>((~kind(lucy)<~>~strong(lucy))))&
(![X]:(~humble(X)=>(~curious(X)&~old(X))))&
((?[X]:((tall(X)&~brave(X))))<=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((~quiet(X)|~wise(X))=>(curious(X)&~old(X))))&
(((~generous(mary)|~strong(mary)))<=>(?[X]:((~old(X)&~funny(X))))... | happy(lucy) | [] | null | 0 |
If someone is not wise or not humble then paul is tall or calm and vice versa.
If someone is either not tall or not calm then someone is not wise.
Everyone who is not creative is both not humble and patient and vice versa.
Everyone who is both not calm and not curious is either not creative or not wise and vice versa.
... | Lucy is rich. | entailment | ((?[X]:((~wise(X)|~humble(X))))<=>((tall(paul)|calm(paul))))&
((?[X]:((~tall(X)<~>~calm(X))))=>(?[X]:(~wise(X))))&
(![X]:(~creative(X)<=>(~humble(X)&patient(X))))&
(![X]:((~calm(X)&~curious(X))<=>(~creative(X)<~>~wise(X))))&
(![X]:((strong(X)&quiet(X))=>brave(X)))&
(![X]:(rich(X)=>(calm(X)|~wise(X))))&
(![X]:((~creativ... | rich(lucy) | [
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 290280979487516505666956
% SZS output start Proof for 290280979487516505666956
10. ! [X0] : ((~brave(X0) | humble(X0)) => rich(X0)) [input p9]
20. funny(lucy) & humble(lucy) [input p19]
25. ~rich(lucy) [input hypothesis]
31. ! [X0] : (rich(X0) | (brave(X0) & ~humble(X0))) [ennf transforma... | 0 |
Everyone who is either not wise or wise is wise. Everyone who is not kind or rich is not rich. Everyone who is both happy and patient is either not curious or tall. Everyone who is both rich and not calm is either not quiet or humble and vice versa. Everyone who is both not wise and happy is not old or not tall and vic... | Susan is not creative. | contradiction | (![X]:((~wise(X)<~>wise(X))=>wise(X)))&
(![X]:((~kind(X)|rich(X))=>~rich(X)))&
(![X]:((happy(X)&patient(X))=>(~curious(X)<~>tall(X))))&
(![X]:((rich(X)&~calm(X))<=>(~quiet(X)<~>humble(X))))&
(![X]:((~wise(X)&happy(X))<=>(~old(X)|~tall(X))))&
((?[X]:((calm(X)&~wise(X))))=>((~kind(john)|~humble(john))))&
((quiet(mary))=>... | ~creative(susan) | [
"p0",
"p4",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 995219192147397224333256
% SZS output start Proof for 995219192147397224333256
1. ! [X0] : ((~wise(X0) <~> wise(X0)) => wise(X0)) [input p0]
5. ! [X0] : ((happy(X0) & ~wise(X0)) <=> (~tall(X0) | ~old(X0))) [input p4]
9. (~curious(paul) & ~calm(paul)) <=> ? [X0] : (creative(X0) <~> ~quiet(... | 0 |
Everyone who is not wise is either quiet or not creative.
Everyone who is brave is either not curious or creative and vice versa.
Everyone who is not patient is rich or not creative and vice versa.
If fred is either quiet or not brave then someone is either not strong or not brave.
Everyone who is quiet or old is eithe... | Fred is strong. | entailment | (![X]:(~wise(X)=>(quiet(X)<~>~creative(X))))&
(![X]:(brave(X)<=>(~curious(X)<~>creative(X))))&
(![X]:(~patient(X)<=>(rich(X)|~creative(X))))&
(((quiet(fred)<~>~brave(fred)))=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((quiet(X)|old(X))=>(curious(X)<~>~old(X))))&
(![X]:((~funny(X)&humble(X))=>(~brave(X)|~happy(X))))&
(!... | strong(fred) | [
"p2",
"p6",
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2330926809446860555127642
% SZS output start Proof for 2330926809446860555127642
3. ! [X0] : (~patient(X0) <=> (~creative(X0) | rich(X0))) [input p2]
7. ! [X0] : ((patient(X0) | strong(X0)) => generous(X0)) [input p6]
8. ! [X0] : (~strong(X0) => (~generous(X0) & ~humble(X0))) [input p7]
1... | 0 |
If someone is creative or not patient then someone is both funny and not quiet and vice versa.
Everyone who is either funny or wise is either kind or tall.
Everyone who is not old is not happy.
If someone is not humble or not quiet then someone is not brave.
Everyone who is wise or patient is strong.
If susan is not st... | Susan is not patient. | entailment | ((?[X]:((creative(X)|~patient(X))))<=>(?[X]:((funny(X)&~quiet(X)))))&
(![X]:((funny(X)<~>wise(X))=>(kind(X)<~>tall(X))))&
(![X]:(~old(X)=>~happy(X)))&
((?[X]:((~humble(X)|~quiet(X))))=>(?[X]:(~brave(X))))&
(![X]:((wise(X)|patient(X))=>strong(X)))&
((~strong(susan))=>(happy(john)))&
(![X]:(patient(X)=>(~creative(X)<~>hu... | ~patient(susan) | [
"p2",
"p4",
"p9",
"p10",
"p11",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 272281715634326006754682
% SZS output start Proof for 272281715634326006754682
3. ! [X0] : (~old(X0) => ~happy(X0)) [input p2]
5. ! [X0] : ((patient(X0) | wise(X0)) => strong(X0)) [input p4]
10. ! [X0] : ((~calm(X0) | old(X0)) => (~strong(X0) <~> happy(X0))) [input p9]
11. ! [X0] : (~pati... | 0 |
Everyone who is either tall or kind is creative or tall.
If fred is tall or creative then someone is brave or not patient and vice versa.
If someone is either not brave or funny then someone is generous and vice versa.
Everyone who is either not generous or tall is either calm or not funny and vice versa.
Everyone who ... | Fred is tall. | neutral | (![X]:((tall(X)<~>kind(X))=>(creative(X)|tall(X))))&
(((tall(fred)|creative(fred)))<=>(?[X]:((brave(X)|~patient(X)))))&
((?[X]:((~brave(X)<~>funny(X))))<=>(?[X]:(generous(X))))&
(![X]:((~generous(X)<~>tall(X))<=>(calm(X)<~>~funny(X))))&
(![X]:((humble(X)|~strong(X))<=>brave(X)))&
((?[X]:((funny(X)&~rich(X))))<=>(?[X]:(... | tall(fred) | [] | null | 0 |
If someone is both old and not generous then alice is not old or strong. Everyone who is calm is both not generous and not tall and vice versa. Everyone who is not happy is not patient or not generous and vice versa. If paul is tall then someone is either generous or not curious. If someone is not humble then someone i... | John is calm. | neutral | ((?[X]:((old(X)&~generous(X))))=>((~old(alice)|strong(alice))))&
(![X]:(calm(X)<=>(~generous(X)&~tall(X))))&
(![X]:(~happy(X)<=>(~patient(X)|~generous(X))))&
((tall(paul))=>(?[X]:((generous(X)<~>~curious(X)))))&
((?[X]:(~humble(X)))=>(?[X]:(~rich(X))))&
(((humble(john)<~>creative(john)))=>(~patient(john)))&
(![X]:((~ge... | calm(john) | [] | null | 0 |
If someone is either kind or not creative then susan is both not tall and wise.
Everyone who is not tall or happy is both not calm and curious and vice versa.
If someone is both not brave and old then john is both calm and rich.
Everyone who is curious is either not funny or not tall and vice versa.
Everyone who is bot... | Susan is not strong. | contradiction | ((?[X]:((kind(X)<~>~creative(X))))=>((~tall(susan)&wise(susan))))&
(![X]:((~tall(X)|happy(X))<=>(~calm(X)&curious(X))))&
((?[X]:((~brave(X)&old(X))))=>((calm(john)&rich(john))))&
(![X]:(curious(X)<=>(~funny(X)<~>~tall(X))))&
(![X]:((rich(X)&~tall(X))<=>(~funny(X)|kind(X))))&
(![X]:((~old(X)&rich(X))=>(~rich(X)&~curious... | ~strong(susan) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p8",
"p9",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3123689072262027769525344
% SZS output start Proof for 3123689072262027769525344
1. ? [X0] : (kind(X0) <~> ~creative(X0)) => (wise(susan) & ~tall(susan)) [input p0]
2. ! [X0] : ((happy(X0) | ~tall(X0)) <=> (curious(X0) & ~calm(X0))) [input p1]
4. ! [X0] : (curious(X0) <=> (~funny(X0) <~> ... | 0 |
Everyone who is wise or not tall is not kind or not happy and vice versa. Everyone who is either not patient or not kind is brave. If someone is either strong or not quiet then alice is both not strong and not wise and vice versa. Everyone who is brave or strong is humble or curious and vice versa. If fred is either no... | Susan is patient. | neutral | (![X]:((wise(X)|~tall(X))<=>(~kind(X)|~happy(X))))&
(![X]:((~patient(X)<~>~kind(X))=>brave(X)))&
((?[X]:((strong(X)<~>~quiet(X))))<=>((~strong(alice)&~wise(alice))))&
(![X]:((brave(X)|strong(X))<=>(humble(X)|curious(X))))&
(((~creative(fred)<~>~humble(fred)))<=>((~happy(paul)<~>old(paul))))&
(((~wise(susan)<~>~tall(sus... | patient(susan) | [] | null | 0 |
If susan is strong or generous then mary is not brave.
Everyone who is happy is both brave and calm.
If someone is old or not calm then someone is both not funny and not brave.
If someone is tall then someone is not patient and vice versa.
Everyone who is either creative or funny is both funny and tall.
Everyone who is... | Alice is not brave. | contradiction | (((strong(susan)|generous(susan)))=>(~brave(mary)))&
(![X]:(happy(X)=>(brave(X)&calm(X))))&
((?[X]:((old(X)|~calm(X))))=>(?[X]:((~funny(X)&~brave(X)))))&
((?[X]:(tall(X)))<=>(?[X]:(~patient(X))))&
(![X]:((creative(X)<~>funny(X))=>(funny(X)&tall(X))))&
(![X]:((happy(X)<~>old(X))<=>humble(X)))&
(![X]:((~brave(X)|rich(X))... | ~brave(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7343397746254922020308286
% SZS output start Proof for 7343397746254922020308286
7. ! [X0] : ((rich(X0) | ~brave(X0)) => (~patient(X0) & brave(X0))) [input p6]
24. ~brave(alice) [input hypothesis]
32. ! [X0] : ((~patient(X0) & brave(X0)) | (~rich(X0) & brave(X0))) [ennf transformation 7]
... | 0 |
If someone is not kind or not brave then paul is both not humble and not creative and vice versa.
Everyone who is not generous or quiet is not quiet and vice versa.
Everyone who is generous is not funny and vice versa.
If someone is either calm or not humble then someone is both wise and not tall and vice versa.
Everyo... | Mary is not humble. | entailment | ((?[X]:((~kind(X)|~brave(X))))<=>((~humble(paul)&~creative(paul))))&
(![X]:((~generous(X)|quiet(X))<=>~quiet(X)))&
(![X]:(generous(X)<=>~funny(X)))&
((?[X]:((calm(X)<~>~humble(X))))<=>(?[X]:((wise(X)&~tall(X)))))&
(![X]:((funny(X)<~>old(X))<=>(~brave(X)|~happy(X))))&
(![X]:((~kind(X)<~>~creative(X))<=>(generous(X)&~old... | ~humble(mary) | [
"p1",
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 602802823560209490214275
% SZS output start Proof for 602802823560209490214275
2. ! [X0] : ((quiet(X0) | ~generous(X0)) <=> ~quiet(X0)) [input p1]
3. ! [X0] : (generous(X0) <=> ~funny(X0)) [input p2]
7. ! [X0] : ((~funny(X0) | rich(X0)) <=> (curious(X0) | humble(X0))) [input p6]
9. ? [X0]... | 0 |
Everyone who is not generous is both tall and not tall and vice versa. Everyone who is calm or not rich is not patient or not funny and vice versa. If someone is not tall then someone is old. If someone is not tall or not old then someone is either not old or not strong. Everyone who is not happy or curious is either n... | Paul is funny. | contradiction | (![X]:(~generous(X)<=>(tall(X)&~tall(X))))&
(![X]:((calm(X)|~rich(X))<=>(~patient(X)|~funny(X))))&
((?[X]:(~tall(X)))=>(?[X]:(old(X))))&
((?[X]:((~tall(X)|~old(X))))=>(?[X]:((~old(X)<~>~strong(X)))))&
(![X]:((~happy(X)|curious(X))=>(~generous(X)<~>~funny(X))))&
((?[X]:(old(X)))=>(?[X]:((~old(X)<~>quiet(X)))))&
((rich(s... | funny(paul) | [
"p0",
"p4",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3768009749587301858919809
% SZS output start Proof for 3768009749587301858919809
1. ! [X0] : (~generous(X0) <=> (~tall(X0) & tall(X0))) [input p0]
5. ! [X0] : ((curious(X0) | ~happy(X0)) => (~generous(X0) <~> ~funny(X0))) [input p4]
23. curious(paul) [input p22]
25. funny(paul) [input hyp... | 0 |
Everyone who is kind or not tall is curious. If john is both not quiet and not patient then lucy is not generous and vice versa. Everyone who is both not tall and not patient is not wise and vice versa. Everyone who is tall is funny. If john is not kind or not brave then john is both brave and not old and vice versa. E... | Lucy is brave. | neutral | (![X]:((kind(X)|~tall(X))=>curious(X)))&
(((~quiet(john)&~patient(john)))<=>(~generous(lucy)))&
(![X]:((~tall(X)&~patient(X))<=>~wise(X)))&
(![X]:(tall(X)=>funny(X)))&
(((~kind(john)|~brave(john)))<=>((brave(john)&~old(john))))&
(![X]:(humble(X)=>(~old(X)&calm(X))))&
(![X]:((~tall(X)&rich(X))<=>(~calm(X)|brave(X))))&
(... | brave(lucy) | [] | null | 0 |
Everyone who is quiet or curious is not strong or not patient and vice versa.
If someone is creative then someone is wise and vice versa.
If fred is not creative or not funny then someone is quiet.
Everyone who is either not wise or generous is either not curious or not rich and vice versa.
Everyone who is calm or not ... | Paul is not funny. | contradiction | (![X]:((quiet(X)|curious(X))<=>(~strong(X)|~patient(X))))&
((?[X]:(creative(X)))<=>(?[X]:(wise(X))))&
(((~creative(fred)|~funny(fred)))=>(?[X]:(quiet(X))))&
(![X]:((~wise(X)<~>generous(X))<=>(~curious(X)<~>~rich(X))))&
(![X]:((calm(X)|~patient(X))=>~kind(X)))&
(![X]:((~humble(X)&tall(X))=>(funny(X)<~>humble(X))))&
(![X... | ~funny(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3243476394710884664745764
% SZS output start Proof for 3243476394710884664745764
16. ! [X0] : ((~funny(X0) <~> happy(X0)) <=> happy(X0)) [input p15]
24. ~funny(paul) [input hypothesis]
67. ! [X0] : ((((~happy(X0) | funny(X0)) & (happy(X0) | ~funny(X0))) | ~happy(X0)) & (happy(X0) | ((~fun... | 0 |
Everyone who is either not old or tall is creative and vice versa.
If lucy is not generous or funny then susan is not wise.
Everyone who is either brave or not quiet is both quiet and curious.
If someone is both creative and not strong then john is either creative or quiet and vice versa.
If someone is not happy or not... | Lucy is funny. | contradiction | (![X]:((~old(X)<~>tall(X))<=>creative(X)))&
(((~generous(lucy)|funny(lucy)))=>(~wise(susan)))&
(![X]:((brave(X)<~>~quiet(X))=>(quiet(X)&curious(X))))&
((?[X]:((creative(X)&~strong(X))))<=>((creative(john)<~>quiet(john))))&
((?[X]:((~happy(X)|~brave(X))))=>(?[X]:((~old(X)|quiet(X)))))&
((?[X]:((~curious(X)<~>~old(X))))<... | funny(lucy) | [
"p1",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3055180202467311235397336
% SZS output start Proof for 3055180202467311235397336
2. (funny(lucy) | ~generous(lucy)) => ~wise(susan) [input p1]
10. ! [X0] : ((~wise(X0) | kind(X0)) <=> funny(X0)) [input p9]
14. ! [X0] : (funny(X0) => (~wise(X0) & wise(X0))) [input p13]
24. funny(lucy) [inp... | 0 |
If someone is tall then someone is both not calm and not patient and vice versa.
If alice is generous then alice is either quiet or not happy.
Everyone who is either quiet or not quiet is both not creative and not strong and vice versa.
Everyone who is not quiet or not old is curious or old and vice versa.
Everyone who... | Alice is not quiet. | entailment | ((?[X]:(tall(X)))<=>(?[X]:((~calm(X)&~patient(X)))))&
((generous(alice))=>((quiet(alice)<~>~happy(alice))))&
(![X]:((quiet(X)<~>~quiet(X))<=>(~creative(X)&~strong(X))))&
(![X]:((~quiet(X)|~old(X))<=>(curious(X)|old(X))))&
(![X]:(happy(X)=>(curious(X)&~kind(X))))&
(![X]:(~creative(X)<=>(~quiet(X)&tall(X))))&
(![X]:((cre... | ~quiet(alice) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 609569828556279719922666
% SZS output start Proof for 609569828556279719922666
3. ! [X0] : ((quiet(X0) <~> ~quiet(X0)) <=> (~strong(X0) & ~creative(X0))) [input p2]
6. ! [X0] : (~creative(X0) <=> (tall(X0) & ~quiet(X0))) [input p5]
24. quiet(alice) [input hypothesis]
49. ! [X0] : ((((quie... | 0 |
Everyone who is either patient or kind is either not calm or brave.
If paul is not happy then someone is either kind or not humble and vice versa.
If someone is not wise then fred is either tall or generous.
If fred is either not generous or creative then someone is not quiet and vice versa.
Everyone who is quiet or no... | Mary is not brave. | entailment | (![X]:((patient(X)<~>kind(X))=>(~calm(X)<~>brave(X))))&
((~happy(paul))<=>(?[X]:((kind(X)<~>~humble(X)))))&
((?[X]:(~wise(X)))=>((tall(fred)<~>generous(fred))))&
(((~generous(fred)<~>creative(fred)))<=>(?[X]:(~quiet(X))))&
(![X]:((quiet(X)|~strong(X))<=>(~creative(X)&~rich(X))))&
((?[X]:((happy(X)|~strong(X))))=>((stro... | ~brave(mary) | [
"p4",
"p7",
"p9",
"p13",
"p14",
"p16",
"p17",
"p19",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6982855658244152412675654
% SZS output start Proof for 6982855658244152412675654
5. ! [X0] : ((~strong(X0) | quiet(X0)) <=> (~rich(X0) & ~creative(X0))) [input p4]
8. ! [X0] : ((~patient(X0) & quiet(X0)) <=> (brave(X0) <~> ~wise(X0))) [input p7]
10. (patient(paul) & rich(paul)) <=> ? [X0]... | 0 |
If someone is rich then john is not funny or not creative and vice versa.
If alice is brave or not curious then someone is either not tall or not happy and vice versa.
If someone is brave then someone is not happy or not curious.
If someone is both happy and patient then susan is both not tall and not humble and vice v... | Susan is humble. | contradiction | ((?[X]:(rich(X)))<=>((~funny(john)|~creative(john))))&
(((brave(alice)|~curious(alice)))<=>(?[X]:((~tall(X)<~>~happy(X)))))&
((?[X]:(brave(X)))=>(?[X]:((~happy(X)|~curious(X)))))&
((?[X]:((happy(X)&patient(X))))<=>((~tall(susan)&~humble(susan))))&
(![X]:((brave(X)&~calm(X))=>~wise(X)))&
(((~generous(fred)<~>~calm(fred)... | humble(susan) | [
"p3",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 111388597759246439886559
% SZS output start Proof for 111388597759246439886559
4. ? [X0] : (patient(X0) & happy(X0)) <=> (~humble(susan) & ~tall(susan)) [input p3]
11. ? [X0] : (~happy(X0) <~> quiet(X0)) <=> ? [X0] : (brave(X0) & wise(X0)) [input p10]
12. ! [X0] : ((patient(X0) & ~wise(X0... | 0 |
Everyone who is happy is both not curious and strong.
Everyone who is quiet or patient is happy and vice versa.
Everyone who is either not strong or not kind is not quiet and vice versa.
If lucy is both wise and rich then someone is either not rich or not creative.
If someone is both not rich and creative then someone ... | Lucy is tall. | neutral | (![X]:(happy(X)=>(~curious(X)&strong(X))))&
(![X]:((quiet(X)|patient(X))<=>happy(X)))&
(![X]:((~strong(X)<~>~kind(X))<=>~quiet(X)))&
(((wise(lucy)&rich(lucy)))=>(?[X]:((~rich(X)<~>~creative(X)))))&
((?[X]:((~rich(X)&creative(X))))<=>(?[X]:((~kind(X)|creative(X)))))&
(![X]:((~calm(X)|funny(X))<=>(~curious(X)<~>happy(X))... | tall(lucy) | [] | null | 0 |
Everyone who is old or tall is brave or quiet.
Everyone who is both quiet and calm is either not strong or wise and vice versa.
Everyone who is both old and kind is both generous and not brave and vice versa.
If someone is wise or calm then john is either not patient or tall and vice versa.
If someone is not quiet then... | John is not curious. | entailment | (![X]:((old(X)|tall(X))=>(brave(X)|quiet(X))))&
(![X]:((quiet(X)&calm(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((old(X)&kind(X))<=>(generous(X)&~brave(X))))&
((?[X]:((wise(X)|calm(X))))<=>((~patient(john)<~>tall(john))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~tall(X)&~brave(X)))))&
(![X]:((humble(X)<~>old(X))=>(strong(X)|~genero... | ~curious(john) | [
"p8",
"p9",
"p10",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8801641755977308307529331
% SZS output start Proof for 8801641755977308307529331
9. ? [X0] : (~calm(X0) | ~funny(X0)) <=> (~curious(john) & ~tall(john)) [input p8]
10. ! [X0] : ((~old(X0) | funny(X0)) <=> (~old(X0) & ~kind(X0))) [input p9]
11. ! [X0] : ((curious(X0) | happy(X0)) => (~tall... | 0 |
If someone is not creative then someone is not happy or quiet.
Everyone who is both not brave and creative is strong.
Everyone who is either creative or not patient is humble or not happy and vice versa.
If someone is wise then someone is not rich.
Everyone who is both generous and not patient is quiet or not tall.
Eve... | John is not brave. | neutral | ((?[X]:(~creative(X)))=>(?[X]:((~happy(X)|quiet(X)))))&
(![X]:((~brave(X)&creative(X))=>strong(X)))&
(![X]:((creative(X)<~>~patient(X))<=>(humble(X)|~happy(X))))&
((?[X]:(wise(X)))=>(?[X]:(~rich(X))))&
(![X]:((generous(X)&~patient(X))=>(quiet(X)|~tall(X))))&
(![X]:((funny(X)|tall(X))<=>(tall(X)|patient(X))))&
((?[X]:((... | ~brave(john) | [] | null | 0 |
Everyone who is wise or generous is humble or curious.
If mary is both wise and not happy then someone is not old.
Everyone who is both not creative and happy is either humble or creative and vice versa.
If someone is either not rich or not quiet then someone is not rich and vice versa.
Everyone who is curious or not p... | Mary is not generous. | neutral | (![X]:((wise(X)|generous(X))=>(humble(X)|curious(X))))&
(((wise(mary)&~happy(mary)))=>(?[X]:(~old(X))))&
(![X]:((~creative(X)&happy(X))<=>(humble(X)<~>creative(X))))&
((?[X]:((~rich(X)<~>~quiet(X))))<=>(?[X]:(~rich(X))))&
(![X]:((curious(X)|~patient(X))<=>(~generous(X)&~happy(X))))&
(((~rich(paul)&rich(paul)))<=>((kind... | ~generous(mary) | [] | null | 0 |
Everyone who is not rich or patient is either brave or not humble.
Everyone who is either not humble or not rich is either humble or rich.
If someone is generous then lucy is not old or funny and vice versa.
Everyone who is not brave or patient is either not generous or happy and vice versa.
Everyone who is either funn... | Lucy is patient. | contradiction | (![X]:((~rich(X)|patient(X))=>(brave(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>~rich(X))=>(humble(X)<~>rich(X))))&
((?[X]:(generous(X)))<=>((~old(lucy)|funny(lucy))))&
(![X]:((~brave(X)|patient(X))<=>(~generous(X)<~>happy(X))))&
(![X]:((funny(X)<~>~humble(X))=>tall(X)))&
(![X]:((~funny(X)|~tall(X))<=>(~patient(X)|wise(X... | patient(lucy) | [
"p0",
"p3",
"p5",
"p6",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1322789802399541979573101
% SZS output start Proof for 1322789802399541979573101
1. ! [X0] : ((patient(X0) | ~rich(X0)) => (brave(X0) <~> ~humble(X0))) [input p0]
4. ! [X0] : ((patient(X0) | ~brave(X0)) <=> (~generous(X0) <~> happy(X0))) [input p3]
6. ! [X0] : ((~tall(X0) | ~funny(X0)) <=... | 0 |
Everyone who is both rich and humble is either rich or not curious and vice versa.
Everyone who is either happy or calm is not creative and vice versa.
Everyone who is tall or not kind is either not patient or creative.
Everyone who is rich is both funny and not kind and vice versa.
Everyone who is not kind is either q... | Fred is not tall. | entailment | (![X]:((rich(X)&humble(X))<=>(rich(X)<~>~curious(X))))&
(![X]:((happy(X)<~>calm(X))<=>~creative(X)))&
(![X]:((tall(X)|~kind(X))=>(~patient(X)<~>creative(X))))&
(![X]:(rich(X)<=>(funny(X)&~kind(X))))&
(![X]:(~kind(X)<=>(quiet(X)<~>~rich(X))))&
(((~kind(susan)<~>~generous(susan)))<=>((~creative(susan)&quiet(susan))))&
((... | ~tall(fred) | [
"p0",
"p3",
"p4",
"p8",
"p9",
"p10",
"p11",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 272134798130658506766355
% SZS output start Proof for 272134798130658506766355
1. ! [X0] : ((humble(X0) & rich(X0)) <=> (rich(X0) <~> ~curious(X0))) [input p0]
4. ! [X0] : (rich(X0) <=> (~kind(X0) & funny(X0))) [input p3]
5. ! [X0] : (~kind(X0) <=> (quiet(X0) <~> ~rich(X0))) [input p4]
9.... | 0 |
If lucy is not strong or wise then alice is not happy.
Everyone who is not old or not happy is not humble or not rich and vice versa.
Everyone who is not humble is either patient or quiet and vice versa.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who... | Fred is strong. | neutral | (((~strong(lucy)|wise(lucy)))=>(~happy(alice)))&
(![X]:((~old(X)|~happy(X))<=>(~humble(X)|~rich(X))))&
(![X]:(~humble(X)<=>(patient(X)<~>quiet(X))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curious(X)))&
(![X]:(... | strong(fred) | [] | null | 0 |
Everyone who is either not strong or patient is not wise and vice versa.
If someone is not calm or calm then fred is humble or not quiet.
Everyone who is humble is not quiet or not generous and vice versa.
If someone is either not generous or calm then susan is either generous or not tall and vice versa.
If someone is ... | Alice is patient. | entailment | (![X]:((~strong(X)<~>patient(X))<=>~wise(X)))&
((?[X]:((~calm(X)|calm(X))))=>((humble(fred)|~quiet(fred))))&
(![X]:(humble(X)<=>(~quiet(X)|~generous(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((generous(susan)<~>~tall(susan))))&
((?[X]:(~creative(X)))<=>((curious(paul)&humble(paul))))&
(![X]:((~wise(X)&~tall(X))=>(~ri... | patient(alice) | [
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 339938121937323298179609
% SZS output start Proof for 339938121937323298179609
8. ! [X0] : (old(X0) => (happy(X0) & ~generous(X0))) [input p7]
15. ! [X0] : ((~patient(X0) | curious(X0)) <=> (~calm(X0) & old(X0))) [input p14]
16. (~old(alice) | ~happy(alice)) <=> ? [X0] : (~patient(X0) <~>... | 0 |
Everyone who is not funny is both wise and funny and vice versa.
If paul is not tall then someone is not quiet.
Everyone who is happy or not wise is not happy or not generous and vice versa.
If someone is not wise then mary is either not rich or not happy and vice versa.
Everyone who is both funny and not wise is eithe... | Paul is not strong. | neutral | (![X]:(~funny(X)<=>(wise(X)&funny(X))))&
((~tall(paul))=>(?[X]:(~quiet(X))))&
(![X]:((happy(X)|~wise(X))<=>(~happy(X)|~generous(X))))&
((?[X]:(~wise(X)))<=>((~rich(mary)<~>~happy(mary))))&
(![X]:((funny(X)&~wise(X))<=>(strong(X)<~>brave(X))))&
(((~brave(mary)&~wise(mary)))<=>((funny(susan)|~happy(susan))))&
((~patient(... | ~strong(paul) | [] | null | 0 |
Everyone who is both rich and brave is both not rich and wise. If someone is both not funny and not patient then someone is not quiet or happy. If mary is not curious then someone is either not brave or not old and vice versa. Everyone who is either not rich or funny is not funny or tall. Everyone who is happy is both ... | John is creative. | contradiction | (![X]:((rich(X)&brave(X))=>(~rich(X)&wise(X))))&
((?[X]:((~funny(X)&~patient(X))))=>(?[X]:((~quiet(X)|happy(X)))))&
((~curious(mary))<=>(?[X]:((~brave(X)<~>~old(X)))))&
(![X]:((~rich(X)<~>funny(X))=>(~funny(X)|tall(X))))&
(![X]:(happy(X)=>(~kind(X)&quiet(X))))&
((?[X]:(~generous(X)))=>((wise(mary)<~>old(mary))))&
(![X]... | creative(john) | [
"p0",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3642552324506639276866384
% SZS output start Proof for 3642552324506639276866384
1. ! [X0] : ((brave(X0) & rich(X0)) => (wise(X0) & ~rich(X0))) [input p0]
10. ! [X0] : ((calm(X0) | ~rich(X0)) => ~creative(X0)) [input p9]
11. ! [X0] : (quiet(X0) <=> ~calm(X0)) [input p10]
12. ! [X0] : ((~s... | 0 |
If alice is both not kind and not humble then someone is both strong and not tall and vice versa.
If lucy is old then someone is either old or not calm.
Everyone who is not funny or humble is happy or generous and vice versa.
If someone is humble or not brave then someone is not wise or not happy.
Everyone who is both ... | Fred is not quiet. | contradiction | (((~kind(alice)&~humble(alice)))<=>(?[X]:((strong(X)&~tall(X)))))&
((old(lucy))=>(?[X]:((old(X)<~>~calm(X)))))&
(![X]:((~funny(X)|humble(X))<=>(happy(X)|generous(X))))&
((?[X]:((humble(X)|~brave(X))))=>(?[X]:((~wise(X)|~happy(X)))))&
(![X]:((~humble(X)&kind(X))=>curious(X)))&
(![X]:(~quiet(X)=>(rich(X)&kind(X))))&
(![X... | ~quiet(fred) | [
"p0",
"p4",
"p5",
"p9",
"p10",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6136028283885706473513777
% SZS output start Proof for 6136028283885706473513777
1. (~humble(alice) & ~kind(alice)) <=> ? [X0] : (~tall(X0) & strong(X0)) [input p0]
5. ! [X0] : ((kind(X0) & ~humble(X0)) => curious(X0)) [input p4]
6. ! [X0] : (~quiet(X0) => (kind(X0) & rich(X0))) [input p5... | 0 |
Everyone who is kind is either not generous or brave and vice versa.
If paul is both not curious and not kind then paul is not generous and vice versa.
If paul is both tall and not kind then someone is either tall or not strong and vice versa.
If fred is not wise or happy then mary is not creative and vice versa.
If so... | Paul is generous. | neutral | (![X]:(kind(X)<=>(~generous(X)<~>brave(X))))&
(((~curious(paul)&~kind(paul)))<=>(~generous(paul)))&
(((tall(paul)&~kind(paul)))<=>(?[X]:((tall(X)<~>~strong(X)))))&
(((~wise(fred)|happy(fred)))<=>(~creative(mary)))&
((?[X]:((~quiet(X)<~>patient(X))))=>(?[X]:((wise(X)|~quiet(X)))))&
((~curious(fred))<=>(?[X]:((~creative(... | generous(paul) | [] | null | 0 |
If someone is either not generous or strong then alice is both not creative and not tall and vice versa. If alice is not strong or funny then john is either tall or not tall and vice versa. Everyone who is either strong or wise is not rich or curious. Everyone who is old or not happy is both tall and not patient. Every... | John is not creative. | contradiction | ((?[X]:((~generous(X)<~>strong(X))))<=>((~creative(alice)&~tall(alice))))&
(((~strong(alice)|funny(alice)))<=>((tall(john)<~>~tall(john))))&
(![X]:((strong(X)<~>wise(X))=>(~rich(X)|curious(X))))&
(![X]:((old(X)|~happy(X))=>(tall(X)&~patient(X))))&
(![X]:((funny(X)|old(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&~strong(... | ~creative(john) | [
"p0",
"p3",
"p8",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4596175996902796313548423
% SZS output start Proof for 4596175996902796313548423
1. ? [X0] : (~generous(X0) <~> strong(X0)) <=> (~tall(alice) & ~creative(alice)) [input p0]
4. ! [X0] : ((~happy(X0) | old(X0)) => (~patient(X0) & tall(X0))) [input p3]
9. ! [X0] : ((~creative(X0) | generous(... | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is both not rich and not kind is either not wise or not brave.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either c... | Alice is calm. | contradiction | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((~rich(X)&~kind(X))=>(~wise(X)<~>~brave(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious... | calm(alice) | [
"p0",
"p1",
"p3",
"p5",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2553656742598454931123930
% SZS output start Proof for 2553656742598454931123930
1. ! [X0] : (~curious(X0) <=> ~kind(X0)) [input p0]
2. ! [X0] : (~calm(X0) <=> (strong(X0) | ~happy(X0))) [input p1]
4. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> happy(X0)) [input p3]
6. ! [X0] : ((curious(X0)... | 0 |
Everyone who is either not old or happy is both kind and not rich.
Everyone who is not old is either kind or not brave and vice versa.
Everyone who is not funny is quiet or not quiet.
Everyone who is either funny or wise is not happy.
Everyone who is either wise or humble is either not tall or not rich and vice versa.
... | Lucy is not generous. | contradiction | (![X]:((~old(X)<~>happy(X))=>(kind(X)&~rich(X))))&
(![X]:(~old(X)<=>(kind(X)<~>~brave(X))))&
(![X]:(~funny(X)=>(quiet(X)|~quiet(X))))&
(![X]:((funny(X)<~>wise(X))=>~happy(X)))&
(![X]:((wise(X)<~>humble(X))<=>(~tall(X)<~>~rich(X))))&
(![X]:((~tall(X)<~>funny(X))=>(~generous(X)|wise(X))))&
(![X]:((happy(X)<~>generous(X))... | ~generous(lucy) | [
"p0",
"p1",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7545563067356568437210045
% SZS output start Proof for 7545563067356568437210045
1. ! [X0] : ((~old(X0) <~> happy(X0)) => (~rich(X0) & kind(X0))) [input p0]
2. ! [X0] : (~old(X0) <=> (kind(X0) <~> ~brave(X0))) [input p1]
7. ! [X0] : ((happy(X0) <~> generous(X0)) => (~happy(X0) & calm(X0))... | 0 |
Everyone who is both not wise and not happy is strong or not calm.
If susan is wise or generous then susan is not rich.
If alice is either brave or not tall then someone is both not tall and generous.
If someone is not old or old then lucy is either funny or not wise and vice versa.
Everyone who is not wise is either n... | Susan is funny. | neutral | (![X]:((~wise(X)&~happy(X))=>(strong(X)|~calm(X))))&
(((wise(susan)|generous(susan)))=>(~rich(susan)))&
(((brave(alice)<~>~tall(alice)))=>(?[X]:((~tall(X)&generous(X)))))&
((?[X]:((~old(X)|old(X))))<=>((funny(lucy)<~>~wise(lucy))))&
(![X]:(~wise(X)=>(~humble(X)<~>wise(X))))&
(((~patient(alice)&brave(alice)))=>(?[X]:(ge... | funny(susan) | [] | null | 0 |
Everyone who is old is both not wise and not old and vice versa. Everyone who is both creative and funny is both creative and old. Everyone who is either quiet or not brave is not calm. Everyone who is not strong is not rich and vice versa. If someone is humble then lucy is brave or quiet. If someone is both brave and ... | John is tall. | neutral | (![X]:(old(X)<=>(~wise(X)&~old(X))))&
(![X]:((creative(X)&funny(X))=>(creative(X)&old(X))))&
(![X]:((quiet(X)<~>~brave(X))=>~calm(X)))&
(![X]:(~strong(X)<=>~rich(X)))&
((?[X]:(humble(X)))=>((brave(lucy)|quiet(lucy))))&
((?[X]:((brave(X)&creative(X))))=>((~kind(lucy)|~curious(lucy))))&
(![X]:(~wise(X)=>~old(X)))&
(((~ri... | tall(john) | [] | null | 0 |
Everyone who is quiet is tall or patient.
If someone is kind then lucy is strong or not tall.
Everyone who is either strong or tall is both wise and not rich.
If someone is not kind or strong then alice is either not strong or strong and vice versa.
Everyone who is not funny or not calm is both creative and calm and vi... | Alice is brave. | entailment | (![X]:(quiet(X)=>(tall(X)|patient(X))))&
((?[X]:(kind(X)))=>((strong(lucy)|~tall(lucy))))&
(![X]:((strong(X)<~>tall(X))=>(wise(X)&~rich(X))))&
((?[X]:((~kind(X)|strong(X))))<=>((~strong(alice)<~>strong(alice))))&
(![X]:((~funny(X)|~calm(X))<=>(creative(X)&calm(X))))&
(![X]:((~strong(X)<~>strong(X))=>(~generous(X)<~>fun... | brave(alice) | [
"p4",
"p8",
"p9",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3333174075619495117722032
% SZS output start Proof for 3333174075619495117722032
5. ! [X0] : ((~calm(X0) | ~funny(X0)) <=> (calm(X0) & creative(X0))) [input p4]
9. ! [X0] : (~old(X0) <=> ~quiet(X0)) [input p8]
10. ? [X0] : old(X0) <=> ? [X0] : (happy(X0) | ~strong(X0)) [input p9]
12. ? [X... | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa.
If lucy is not patient then someone is not strong and vice versa.
If someone is not humble then mary is not kind and vice versa.
Everyone who is funny is not funny or wise and vice versa.
Everyone who is not strong or patient is n... | Fred is not brave. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:(~strong(X))))&
((?[X]:(~humble(X)))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<=>(?[X]:((~tall(X)<~>~old(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>tal... | ~brave(fred) | [
"p2",
"p3",
"p6",
"p7",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6793068082514787481941648
% SZS output start Proof for 6793068082514787481941648
3. ? [X0] : ~humble(X0) <=> ~kind(mary) [input p2]
4. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p3]
7. ! [X0] : ((~kind(X0) & ~quiet(X0)) <=> tall(X0)) [input p6]
8. ! [X0] : ((~curious(X0) <~> ... | 0 |
Everyone who is either calm or old is rich or not calm.
Everyone who is both not tall and not calm is not brave or not creative and vice versa.
If john is both not brave and not wise then john is either happy or not calm.
Everyone who is tall is patient and vice versa.
If someone is either tall or strong then someone i... | John is calm. | contradiction | (![X]:((calm(X)<~>old(X))=>(rich(X)|~calm(X))))&
(![X]:((~tall(X)&~calm(X))<=>(~brave(X)|~creative(X))))&
(((~brave(john)&~wise(john)))=>((happy(john)<~>~calm(john))))&
(![X]:(tall(X)<=>patient(X)))&
((?[X]:((tall(X)<~>strong(X))))<=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((~funny(X)&~strong(X))=>strong(X)))&
((tall(susa... | calm(john) | [
"p1",
"p6",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 37513209706340011517530
% SZS output start Proof for 37513209706340011517530
2. ! [X0] : ((~calm(X0) & ~tall(X0)) <=> (~creative(X0) | ~brave(X0))) [input p1]
7. tall(susan) <=> (calm(john) & old(john)) [input p6]
10. ! [X0] : ((~creative(X0) <~> ~calm(X0)) <=> (~curious(X0) | ~old(X0))) ... | 0 |
Everyone who is quiet or curious is both brave and not patient.
Everyone who is not happy is either not strong or not funny and vice versa.
Everyone who is kind or not rich is not strong and vice versa.
Everyone who is both curious and not curious is quiet or not funny.
If someone is not patient then mary is not patien... | Mary is generous. | contradiction | (![X]:((quiet(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:(~happy(X)<=>(~strong(X)<~>~funny(X))))&
(![X]:((kind(X)|~rich(X))<=>~strong(X)))&
(![X]:((curious(X)&~curious(X))=>(quiet(X)|~funny(X))))&
((?[X]:(~patient(X)))<=>(~patient(mary)))&
((strong(john))<=>((generous(mary)|creative(mary))))&
((tall(lucy))<=>((~pa... | generous(mary) | [
"p0",
"p1",
"p2",
"p5",
"p11",
"p12",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3530934206918098188857071
% SZS output start Proof for 3530934206918098188857071
1. ! [X0] : ((curious(X0) | quiet(X0)) => (~patient(X0) & brave(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (~strong(X0) <~> ~funny(X0))) [input p1]
3. ! [X0] : ((~rich(X0) | kind(X0)) <=> ~strong(X0)) [inpu... | 0 |
If susan is not happy or not curious then someone is both not funny and not creative and vice versa.
If someone is either not brave or strong then someone is either generous or curious and vice versa.
Everyone who is not wise or not tall is tall and vice versa.
Everyone who is strong is either tall or generous and vice... | John is not quiet. | neutral | (((~happy(susan)|~curious(susan)))<=>(?[X]:((~funny(X)&~creative(X)))))&
((?[X]:((~brave(X)<~>strong(X))))<=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((~wise(X)|~tall(X))<=>tall(X)))&
(![X]:(strong(X)<=>(tall(X)<~>generous(X))))&
(![X]:((funny(X)|~generous(X))=>(~wise(X)|quiet(X))))&
(![X]:((kind(X)&generous(X))<=>~... | ~quiet(john) | [] | null | 0 |
If paul is either happy or not wise then mary is not calm and vice versa.
If someone is funny or strong then someone is not humble or humble and vice versa.
If someone is wise or humble then someone is both not strong and patient and vice versa.
Everyone who is both quiet and calm is either curious or patient and vice ... | Lucy is humble. | contradiction | (((happy(paul)<~>~wise(paul)))<=>(~calm(mary)))&
((?[X]:((funny(X)|strong(X))))<=>(?[X]:((~humble(X)|humble(X)))))&
((?[X]:((wise(X)|humble(X))))<=>(?[X]:((~strong(X)&patient(X)))))&
(![X]:((quiet(X)&calm(X))<=>(curious(X)<~>patient(X))))&
(![X]:((patient(X)<~>wise(X))=>~funny(X)))&
(![X]:(quiet(X)=>(curious(X)&~curiou... | humble(lucy) | [
"p2",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8374867912703141208818526
% SZS output start Proof for 8374867912703141208818526
3. ? [X0] : (humble(X0) | wise(X0)) <=> ? [X0] : (patient(X0) & ~strong(X0)) [input p2]
6. ! [X0] : (quiet(X0) => (~curious(X0) & curious(X0))) [input p5]
10. ! [X0] : (~strong(X0) <=> quiet(X0)) [input p9]
2... | 0 |
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