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 not strong or old then someone is both calm and not quiet. If someone is either not patient or not rich then mary is either strong or not calm. Everyone who is both not old and not quiet is not creative or not calm and vice versa. Everyone who is both not generous and not curious is both not humble and cr... | Fred is not tall. | entailment | ((?[X]:((~strong(X)|old(X))))=>(?[X]:((calm(X)&~quiet(X)))))&
((?[X]:((~patient(X)<~>~rich(X))))=>((strong(mary)<~>~calm(mary))))&
(![X]:((~old(X)&~quiet(X))<=>(~creative(X)|~calm(X))))&
(![X]:((~generous(X)&~curious(X))<=>(~humble(X)&creative(X))))&
(((brave(mary)|~quiet(mary)))<=>(~wise(mary)))&
(![X]:((curious(X)&qu... | ~tall(fred) | [
"p2",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 640294669769840896251283
% SZS output start Proof for 640294669769840896251283
3. ! [X0] : ((~quiet(X0) & ~old(X0)) <=> (~calm(X0) | ~creative(X0))) [input p2]
7. ! [X0] : (creative(X0) => (~quiet(X0) <~> ~calm(X0))) [input p6]
14. ? [X0] : tall(X0) => ? [X0] : (tall(X0) & ~strong(X0)) [i... | 0 |
If fred is not old or quiet then someone is either not happy or generous. Everyone who is old is both not tall and not funny and vice versa. If fred is both not rich and tall then fred is not wise or patient and vice versa. Everyone who is not funny is brave and vice versa. If someone is either funny or kind then alice... | Fred is not tall. | entailment | (((~old(fred)|quiet(fred)))=>(?[X]:((~happy(X)<~>generous(X)))))&
(![X]:(old(X)<=>(~tall(X)&~funny(X))))&
(((~rich(fred)&tall(fred)))<=>((~wise(fred)|patient(fred))))&
(![X]:(~funny(X)<=>brave(X)))&
((?[X]:((funny(X)<~>kind(X))))=>((quiet(alice)<~>~funny(alice))))&
(![X]:((humble(X)|~curious(X))=>~curious(X)))&
(![X]:(... | ~tall(fred) | [
"p3",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5559898241835660119942904
% SZS output start Proof for 5559898241835660119942904
4. ! [X0] : (~funny(X0) <=> brave(X0)) [input p3]
11. ! [X0] : ((~rich(X0) | funny(X0)) <=> (rich(X0) & humble(X0))) [input p10]
12. ! [X0] : ((brave(X0) | ~tall(X0)) <=> (humble(X0) | ~tall(X0))) [input p11]... | 0 |
If fred is both not generous and humble then john is happy or tall and vice versa.
Everyone who is kind or not happy is either not quiet or kind.
Everyone who is either funny or humble is not humble or not wise and vice versa.
Everyone who is not quiet is not generous or funny.
If mary is either generous or strong then... | John is not patient. | entailment | (((~generous(fred)&humble(fred)))<=>((happy(john)|tall(john))))&
(![X]:((kind(X)|~happy(X))=>(~quiet(X)<~>kind(X))))&
(![X]:((funny(X)<~>humble(X))<=>(~humble(X)|~wise(X))))&
(![X]:(~quiet(X)=>(~generous(X)|funny(X))))&
(((generous(mary)<~>strong(mary)))<=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:((~brave(X)<~>calm(X))... | ~patient(john) | [
"p6",
"p9",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 311967997609441746390114
% SZS output start Proof for 311967997609441746390114
7. ! [X0] : ((~humble(X0) & ~happy(X0)) <=> patient(X0)) [input p6]
10. ! [X0] : (~humble(X0) <=> creative(X0)) [input p9]
12. ? [X0] : (old(X0) | happy(X0)) => ~creative(john) [input p11]
20. old(lucy) [input ... | 0 |
If someone is not quiet or not creative then someone is not rich. Everyone who is both strong and creative is not quiet and vice versa. If someone is both not strong and funny then paul is either humble or not tall and vice versa. Everyone who is kind is not funny and vice versa. Everyone who is old is either calm or s... | Alice is calm. | neutral | ((?[X]:((~quiet(X)|~creative(X))))=>(?[X]:(~rich(X))))&
(![X]:((strong(X)&creative(X))<=>~quiet(X)))&
((?[X]:((~strong(X)&funny(X))))<=>((humble(paul)<~>~tall(paul))))&
(![X]:(kind(X)<=>~funny(X)))&
(![X]:(old(X)=>(calm(X)<~>strong(X))))&
((?[X]:(~wise(X)))=>(?[X]:(humble(X))))&
(![X]:((~quiet(X)|~creative(X))=>(calm(X... | calm(alice) | [] | null | 0 |
Everyone who is brave is both not patient and not curious. If lucy is not happy then john is either not patient or not rich and vice versa. Everyone who is either curious or not rich is either funny or not quiet and vice versa. Everyone who is not calm or not quiet is strong or not calm. If lucy is not wise then someon... | Alice is not strong. | neutral | (![X]:(brave(X)=>(~patient(X)&~curious(X))))&
((~happy(lucy))<=>((~patient(john)<~>~rich(john))))&
(![X]:((curious(X)<~>~rich(X))<=>(funny(X)<~>~quiet(X))))&
(![X]:((~calm(X)|~quiet(X))=>(strong(X)|~calm(X))))&
((~wise(lucy))=>(?[X]:((~brave(X)|~curious(X)))))&
(![X]:((funny(X)<~>~happy(X))<=>wise(X)))&
((?[X]:(~wise(X... | ~strong(alice) | [] | null | 0 |
Everyone who is either not happy or not old is either brave or creative and vice versa.
If someone is both strong and not calm then alice is either old or not calm.
If someone is calm or humble then someone is brave and vice versa.
Everyone who is not patient or not humble is both curious and not funny and vice versa.
... | Alice is curious. | entailment | (![X]:((~happy(X)<~>~old(X))<=>(brave(X)<~>creative(X))))&
((?[X]:((strong(X)&~calm(X))))=>((old(alice)<~>~calm(alice))))&
((?[X]:((calm(X)|humble(X))))<=>(?[X]:(brave(X))))&
(![X]:((~patient(X)|~humble(X))<=>(curious(X)&~funny(X))))&
(![X]:((~patient(X)|humble(X))=>(creative(X)|brave(X))))&
(![X]:(~kind(X)<=>~humble(X... | curious(alice) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7416024694118449164539328
% SZS output start Proof for 7416024694118449164539328
6. ! [X0] : (~kind(X0) <=> ~humble(X0)) [input p5]
10. ? [X0] : (~creative(X0) | ~curious(X0)) => ? [X0] : (~kind(X0) & humble(X0)) [input p9]
24. ~curious(alice) [input hypothesis]
26. ? [X0] : (~creative(X0... | 0 |
Everyone who is not quiet or humble is not humble and vice versa.
If someone is strong then someone is both not old and not wise.
Everyone who is not wise is both kind and not funny and vice versa.
Everyone who is either tall or not strong is not humble and vice versa.
If someone is both patient and not strong then som... | Fred is patient. | neutral | (![X]:((~quiet(X)|humble(X))<=>~humble(X)))&
((?[X]:(strong(X)))=>(?[X]:((~old(X)&~wise(X)))))&
(![X]:(~wise(X)<=>(kind(X)&~funny(X))))&
(![X]:((tall(X)<~>~strong(X))<=>~humble(X)))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((humble(fred)&~funny(fred))))&
(((rich(lucy)<~>~patient(lucy))... | patient(fred) | [] | null | 0 |
If someone is both old and not old then someone is quiet or not humble and vice versa. If lucy is not creative or not patient then someone is both generous and tall and vice versa. Everyone who is either not brave or humble is not curious and vice versa. Everyone who is either funny or not funny is calm. Everyone who i... | John is not strong. | neutral | ((?[X]:((old(X)&~old(X))))<=>(?[X]:((quiet(X)|~humble(X)))))&
(((~creative(lucy)|~patient(lucy)))<=>(?[X]:((generous(X)&tall(X)))))&
(![X]:((~brave(X)<~>humble(X))<=>~curious(X)))&
(![X]:((funny(X)<~>~funny(X))=>calm(X)))&
(![X]:((~creative(X)&~tall(X))=>(~strong(X)|curious(X))))&
((?[X]:(wise(X)))<=>((quiet(alice)<~>~... | ~strong(john) | [] | null | 0 |
If paul is quiet or not kind then someone is either wise or not kind and vice versa. Everyone who is both patient and not wise is strong. Everyone who is both rich and not quiet is not old or creative and vice versa. Everyone who is both happy and not kind is not humble or not tall and vice versa. Everyone who is both ... | Fred is not curious. | entailment | (((quiet(paul)|~kind(paul)))<=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((patient(X)&~wise(X))=>strong(X)))&
(![X]:((rich(X)&~quiet(X))<=>(~old(X)|creative(X))))&
(![X]:((happy(X)&~kind(X))<=>(~humble(X)|~tall(X))))&
(![X]:((calm(X)&tall(X))<=>(humble(X)|old(X))))&
(![X]:(~funny(X)<=>rich(X)))&
(![X]:((~kind(X)&~quiet(X))... | ~curious(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8816892841181373760767637
% SZS output start Proof for 8816892841181373760767637
8. ! [X0] : (curious(X0) => (~curious(X0) & rich(X0))) [input p7]
24. curious(fred) [input hypothesis]
28. ! [X0] : ((~curious(X0) & rich(X0)) | ~curious(X0)) [ennf transformation 8]
107. ~curious(X0) | ~curi... | 0 |
If susan is not generous or not strong then alice is either curious or not rich and vice versa. Everyone who is either rich or patient is not calm or old. Everyone who is not old is both patient and not rich and vice versa. If alice is not quiet then susan is not creative. If someone is old or not quiet then fred is br... | Alice is not kind. | contradiction | (((~generous(susan)|~strong(susan)))<=>((curious(alice)<~>~rich(alice))))&
(![X]:((rich(X)<~>patient(X))=>(~calm(X)|old(X))))&
(![X]:(~old(X)<=>(patient(X)&~rich(X))))&
((~quiet(alice))=>(~creative(susan)))&
((?[X]:((old(X)|~quiet(X))))<=>(brave(fred)))&
(![X]:((~old(X)&brave(X))<=>tall(X)))&
(![X]:((~rich(X)&happy(X))... | ~kind(alice) | [
"p0",
"p2",
"p5",
"p7",
"p8",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 240963459005465017862539
% SZS output start Proof for 240963459005465017862539
1. (~strong(susan) | ~generous(susan)) <=> (curious(alice) <~> ~rich(alice)) [input p0]
3. ! [X0] : (~old(X0) <=> (~rich(X0) & patient(X0))) [input p2]
6. ! [X0] : ((brave(X0) & ~old(X0)) <=> tall(X0)) [input p... | 0 |
Everyone who is calm is tall.
If fred is either kind or not strong then someone is either not kind or curious and vice versa.
If someone is both quiet and generous then someone is either rich or quiet.
If someone is both calm and strong then mary is both not humble and wise and vice versa.
Everyone who is either not fu... | Fred is not curious. | contradiction | (![X]:(calm(X)=>tall(X)))&
(((kind(fred)<~>~strong(fred)))<=>(?[X]:((~kind(X)<~>curious(X)))))&
((?[X]:((quiet(X)&generous(X))))=>(?[X]:((rich(X)<~>quiet(X)))))&
((?[X]:((calm(X)&strong(X))))<=>((~humble(mary)&wise(mary))))&
(![X]:((~funny(X)<~>strong(X))=>(~creative(X)|funny(X))))&
((?[X]:((creative(X)|kind(X))))=>(?[... | ~curious(fred) | [
"p1",
"p8",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4505609172825959290156862
% SZS output start Proof for 4505609172825959290156862
2. (kind(fred) <~> ~strong(fred)) <=> ? [X0] : (~kind(X0) <~> curious(X0)) [input p1]
9. ! [X0] : ((~curious(X0) | ~brave(X0)) <=> (humble(X0) & tall(X0))) [input p8]
11. ! [X0] : (~happy(X0) <=> (curious(X0)... | 0 |
If someone is not patient then fred is either not curious or not happy and vice versa.
If someone is not quiet then someone is both generous and not quiet and vice versa.
Everyone who is not tall or tall is either patient or not happy.
Everyone who is either curious or happy is both brave and not brave and vice versa.
... | Paul is kind. | contradiction | ((?[X]:(~patient(X)))<=>((~curious(fred)<~>~happy(fred))))&
((?[X]:(~quiet(X)))<=>(?[X]:((generous(X)&~quiet(X)))))&
(![X]:((~tall(X)|tall(X))=>(patient(X)<~>~happy(X))))&
(![X]:((curious(X)<~>happy(X))<=>(brave(X)&~brave(X))))&
((~creative(mary))<=>((brave(mary)<~>tall(mary))))&
(![X]:(~creative(X)=>generous(X)))&
((?... | kind(paul) | [
"p0",
"p3",
"p5",
"p6",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8971636015013305108274758
% SZS output start Proof for 8971636015013305108274758
1. ? [X0] : ~patient(X0) <=> (~curious(fred) <~> ~happy(fred)) [input p0]
4. ! [X0] : ((curious(X0) <~> happy(X0)) <=> (~brave(X0) & brave(X0))) [input p3]
6. ! [X0] : (~creative(X0) => generous(X0)) [input p... | 0 |
Everyone who is not generous is not tall or curious and vice versa.
If someone is quiet then someone is generous.
Everyone who is not happy or patient is either kind or old and vice versa.
Everyone who is both funny and not strong is both happy and not kind and vice versa.
If fred is not old or curious then alice is ei... | Paul is wise. | entailment | (![X]:(~generous(X)<=>(~tall(X)|curious(X))))&
((?[X]:(quiet(X)))=>(?[X]:(generous(X))))&
(![X]:((~happy(X)|patient(X))<=>(kind(X)<~>old(X))))&
(![X]:((funny(X)&~strong(X))<=>(happy(X)&~kind(X))))&
(((~old(fred)|curious(fred)))=>((~wise(alice)<~>~creative(alice))))&
((?[X]:((~generous(X)|~funny(X))))<=>((patient(fred)&... | wise(paul) | [
"p0",
"p3",
"p5",
"p6",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 766480761791489825340527
% SZS output start Proof for 766480761791489825340527
1. ! [X0] : (~generous(X0) <=> (curious(X0) | ~tall(X0))) [input p0]
4. ! [X0] : ((~strong(X0) & funny(X0)) <=> (~kind(X0) & happy(X0))) [input p3]
6. ? [X0] : (~funny(X0) | ~generous(X0)) <=> (~patient(fred) &... | 0 |
If alice is funny or creative then fred is both calm and not happy and vice versa.
Everyone who is not humble is both not happy and creative and vice versa.
Everyone who is either old or not old is curious.
Everyone who is either wise or creative is funny and vice versa.
Everyone who is patient or not humble is both ol... | John is not generous. | neutral | (((funny(alice)|creative(alice)))<=>((calm(fred)&~happy(fred))))&
(![X]:(~humble(X)<=>(~happy(X)&creative(X))))&
(![X]:((old(X)<~>~old(X))=>curious(X)))&
(![X]:((wise(X)<~>creative(X))<=>funny(X)))&
(![X]:((patient(X)|~humble(X))=>(old(X)&tall(X))))&
((?[X]:((brave(X)<~>~curious(X))))=>(~brave(lucy)))&
(![X]:((~happy(X... | ~generous(john) | [] | null | 0 |
Everyone who is not kind is not wise or calm and vice versa.
Everyone who is either generous or not tall is calm.
If alice is either not happy or curious then someone is both not quiet and calm and vice versa.
If someone is both old and rich then lucy is both not rich and not creative and vice versa.
If mary is both fu... | John is tall. | contradiction | (![X]:(~kind(X)<=>(~wise(X)|calm(X))))&
(![X]:((generous(X)<~>~tall(X))=>calm(X)))&
(((~happy(alice)<~>curious(alice)))<=>(?[X]:((~quiet(X)&calm(X)))))&
((?[X]:((old(X)&rich(X))))<=>((~rich(lucy)&~creative(lucy))))&
(((funny(mary)&old(mary)))<=>(?[X]:((tall(X)<~>~humble(X)))))&
(![X]:((~brave(X)&~kind(X))<=>(strong(X)|... | tall(john) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4947578679315890484654288
% SZS output start Proof for 4947578679315890484654288
10. ! [X0] : ((calm(X0) | ~calm(X0)) => ~happy(X0)) [input p9]
16. ? [X0] : happy(X0) <=> ? [X0] : tall(X0) [input p15]
25. tall(john) [input hypothesis]
27. ? [X0] : happy(X0) <=> ? [X1] : tall(X1) [rectify ... | 0 |
Everyone who is happy or not humble is not old and vice versa.
If mary is both not humble and not wise then someone is not generous.
Everyone who is either not brave or happy is calm or patient and vice versa.
Everyone who is either patient or not calm is either strong or creative and vice versa.
Everyone who is not st... | Paul is not strong. | neutral | (![X]:((happy(X)|~humble(X))<=>~old(X)))&
(((~humble(mary)&~wise(mary)))=>(?[X]:(~generous(X))))&
(![X]:((~brave(X)<~>happy(X))<=>(calm(X)|patient(X))))&
(![X]:((patient(X)<~>~calm(X))<=>(strong(X)<~>creative(X))))&
(![X]:(~strong(X)<=>(old(X)|~wise(X))))&
(((patient(john)<~>~rich(john)))=>(?[X]:(funny(X))))&
(![X]:((h... | ~strong(paul) | [] | null | 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 ... | Lucy is not tall. | 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)))))&
(!... | ~tall(lucy) | [
"p0",
"p1",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 470575124401602005620580
% SZS output start Proof for 470575124401602005620580
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 not patient or not funny then someone is either not funny or generous and vice versa.
If susan is not patient then lucy is both not rich and old.
Everyone who is not brave or creative is tall.
Everyone who is not generous or tall is not old or not wise.
Everyone who is either not happy or curious is both ... | Paul is not happy. | entailment | ((?[X]:((~patient(X)|~funny(X))))<=>(?[X]:((~funny(X)<~>generous(X)))))&
((~patient(susan))=>((~rich(lucy)&old(lucy))))&
(![X]:((~brave(X)|creative(X))=>tall(X)))&
(![X]:((~generous(X)|tall(X))=>(~old(X)|~wise(X))))&
(![X]:((~happy(X)<~>curious(X))=>(patient(X)&~generous(X))))&
(![X]:(old(X)<=>(~strong(X)<~>~humble(X))... | ~happy(paul) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3436357751466208034468777
% SZS output start Proof for 3436357751466208034468777
3. ! [X0] : ((creative(X0) | ~brave(X0)) => tall(X0)) [input p2]
4. ! [X0] : ((tall(X0) | ~generous(X0)) => (~wise(X0) | ~old(X0))) [input p3]
5. ! [X0] : ((~happy(X0) <~> curious(X0)) => (~generous(X0) & pat... | 0 |
If fred is not calm then someone is funny or not strong and vice versa.
Everyone who is both rich and wise is not humble and vice versa.
Everyone who is curious is both patient and creative and vice versa.
If john is tall or not curious then someone is both not patient and quiet.
If someone is either not patient or cal... | Lucy is not creative. | neutral | ((~calm(fred))<=>(?[X]:((funny(X)|~strong(X)))))&
(![X]:((rich(X)&wise(X))<=>~humble(X)))&
(![X]:(curious(X)<=>(patient(X)&creative(X))))&
(((tall(john)|~curious(john)))=>(?[X]:((~patient(X)&quiet(X)))))&
((?[X]:((~patient(X)<~>calm(X))))<=>((~funny(alice)<~>~happy(alice))))&
(![X]:((rich(X)|humble(X))<=>old(X)))&
(![X... | ~creative(lucy) | [] | null | 0 |
If susan is humble then john is either not wise or not patient and vice versa.
If john is either calm or curious then someone is either generous or curious.
Everyone who is either not happy or funny is brave or not strong.
Everyone who is either not wise or humble is both humble and quiet.
Everyone who is funny is eith... | Lucy is calm. | contradiction | ((humble(susan))<=>((~wise(john)<~>~patient(john))))&
(((calm(john)<~>curious(john)))=>(?[X]:((generous(X)<~>curious(X)))))&
(![X]:((~happy(X)<~>funny(X))=>(brave(X)|~strong(X))))&
(![X]:((~wise(X)<~>humble(X))=>(humble(X)&quiet(X))))&
(![X]:(funny(X)=>(kind(X)<~>funny(X))))&
((?[X]:((generous(X)&calm(X))))=>((~wise(lu... | calm(lucy) | [
"p10",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 797902906708209581480391
% SZS output start Proof for 797902906708209581480391
11. ! [X0] : ((~calm(X0) <~> rich(X0)) <=> ~calm(X0)) [input p10]
16. ! [X0] : ((~rich(X0) | ~creative(X0)) => (~creative(X0) & wise(X0))) [input p15]
19. calm(lucy) <~> ~creative(lucy) [input p18]
25. calm(luc... | 0 |
If someone is either not creative or calm then someone is either not old or not calm. If someone is not curious then mary is not curious. Everyone who is not patient or happy is both quiet and rich. Everyone who is both not tall and curious is curious or not calm. If paul is both happy and not rich then someone is brav... | Lucy is not old. | entailment | ((?[X]:((~creative(X)<~>calm(X))))=>(?[X]:((~old(X)<~>~calm(X)))))&
((?[X]:(~curious(X)))=>(~curious(mary)))&
(![X]:((~patient(X)|happy(X))=>(quiet(X)&rich(X))))&
(![X]:((~tall(X)&curious(X))=>(curious(X)|~calm(X))))&
(((happy(paul)&~rich(paul)))=>(?[X]:(brave(X))))&
(![X]:((~wise(X)|~quiet(X))=>tall(X)))&
((wise(paul)... | ~old(lucy) | [
"p2",
"p8",
"p9",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2657111179628927931872854
% SZS output start Proof for 2657111179628927931872854
3. ! [X0] : ((happy(X0) | ~patient(X0)) => (rich(X0) & quiet(X0))) [input p2]
9. ! [X0] : ((quiet(X0) <~> wise(X0)) <=> (~old(X0) & ~humble(X0))) [input p8]
10. (quiet(mary) | patient(mary)) => (strong(lucy) ... | 0 |
If someone is either quiet or not funny then someone is either strong or brave and vice versa.
If lucy is not humble or generous then someone is either not creative or not wise.
If paul is wise or kind then someone is humble or old and vice versa.
Everyone who is not wise or generous is both not strong and quiet and vi... | John is not wise. | contradiction | ((?[X]:((quiet(X)<~>~funny(X))))<=>(?[X]:((strong(X)<~>brave(X)))))&
(((~humble(lucy)|generous(lucy)))=>(?[X]:((~creative(X)<~>~wise(X)))))&
(((wise(paul)|kind(paul)))<=>(?[X]:((humble(X)|old(X)))))&
(![X]:((~wise(X)|generous(X))<=>(~strong(X)&quiet(X))))&
(![X]:((kind(X)&humble(X))<=>(humble(X)<~>~old(X))))&
((?[X]:((... | ~wise(john) | [
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8798333870667754669301718
% SZS output start Proof for 8798333870667754669301718
4. ! [X0] : ((generous(X0) | ~wise(X0)) <=> (quiet(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((humble(X0) & kind(X0)) <=> (humble(X0) <~> ~old(X0))) [input p4]
7. ! [X0] : ((~happy(X0) | ~calm(X0)) => (~tall... | 0 |
Everyone who is not strong or quiet is rich or strong and vice versa.
If fred is brave or generous then susan is either kind or rich.
Everyone who is old or tall is kind and vice versa.
Everyone who is both wise and not humble is kind and vice versa.
If john is funny or not curious then someone is both not calm and not... | Paul is curious. | entailment | (![X]:((~strong(X)|quiet(X))<=>(rich(X)|strong(X))))&
(((brave(fred)|generous(fred)))=>((kind(susan)<~>rich(susan))))&
(![X]:((old(X)|tall(X))<=>kind(X)))&
(![X]:((wise(X)&~humble(X))<=>kind(X)))&
(((funny(john)|~curious(john)))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~quiet(X)|generous(X))<=>(creative(X)<~>tall(X))... | curious(paul) | [
"p2",
"p5",
"p6",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 254651502935321368476733
% SZS output start Proof for 254651502935321368476733
3. ! [X0] : ((tall(X0) | old(X0)) <=> kind(X0)) [input p2]
6. ! [X0] : ((generous(X0) | ~quiet(X0)) <=> (creative(X0) <~> tall(X0))) [input p5]
7. ! [X0] : ((~happy(X0) & kind(X0)) <=> (happy(X0) | generous(X0)... | 0 |
Everyone who is creative is both not humble and not kind. If someone is not patient or not rich then lucy is either happy or patient and vice versa. Everyone who is either not kind or not strong is both calm and not calm. Everyone who is not curious is tall. Everyone who is either not kind or not rich is either kind or... | Paul is not strong. | contradiction | (![X]:(creative(X)=>(~humble(X)&~kind(X))))&
((?[X]:((~patient(X)|~rich(X))))<=>((happy(lucy)<~>patient(lucy))))&
(![X]:((~kind(X)<~>~strong(X))=>(calm(X)&~calm(X))))&
(![X]:(~curious(X)=>tall(X)))&
(![X]:((~kind(X)<~>~rich(X))<=>(kind(X)<~>~old(X))))&
(![X]:(funny(X)<=>(~rich(X)<~>~calm(X))))&
(![X]:((~wise(X)|patient... | ~strong(paul) | [
"p2",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 60237009928104923396125
% SZS output start Proof for 60237009928104923396125
3. ! [X0] : ((~kind(X0) <~> ~strong(X0)) => (~calm(X0) & calm(X0))) [input p2]
9. ! [X0] : ((~curious(X0) <~> curious(X0)) => humble(X0)) [input p8]
10. ! [X0] : ((quiet(X0) | ~kind(X0)) => ~happy(X0)) [input p9]... | 0 |
Everyone who is both not calm and happy is not kind or not old and vice versa.
Everyone who is either not funny or rich is not curious.
If lucy is either not old or calm then someone is both not curious and creative.
If someone is not tall or not calm then someone is strong and vice versa.
Everyone who is not happy or ... | Paul is not wise. | contradiction | (![X]:((~calm(X)&happy(X))<=>(~kind(X)|~old(X))))&
(![X]:((~funny(X)<~>rich(X))=>~curious(X)))&
(((~old(lucy)<~>calm(lucy)))=>(?[X]:((~curious(X)&creative(X)))))&
((?[X]:((~tall(X)|~calm(X))))<=>(?[X]:(strong(X))))&
(![X]:((~happy(X)|~quiet(X))<=>(~generous(X)|~calm(X))))&
(![X]:(~humble(X)<=>~wise(X)))&
(![X]:((creati... | ~wise(paul) | [
"p11",
"p13",
"p14",
"p16",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 736690366964928694771542
% SZS output start Proof for 736690366964928694771542
12. ! [X0] : (~old(X0) => (patient(X0) & ~funny(X0))) [input p11]
14. ! [X0] : ((~kind(X0) & wise(X0)) <=> rich(X0)) [input p13]
15. ! [X0] : ((~wise(X0) & funny(X0)) <=> (brave(X0) | tall(X0))) [input p14]
17.... | 0 |
If fred is creative then someone is strong and vice versa.
If alice is both curious and calm then someone is either not creative or not quiet and vice versa.
If someone is old or quiet then someone is old.
Everyone who is old or humble is both kind and generous.
Everyone who is both brave and strong is either old or br... | Mary is not quiet. | contradiction | ((creative(fred))<=>(?[X]:(strong(X))))&
(((curious(alice)&calm(alice)))<=>(?[X]:((~creative(X)<~>~quiet(X)))))&
((?[X]:((old(X)|quiet(X))))=>(?[X]:(old(X))))&
(![X]:((old(X)|humble(X))=>(kind(X)&generous(X))))&
(![X]:((brave(X)&strong(X))<=>(old(X)<~>brave(X))))&
((?[X]:(happy(X)))<=>((~calm(mary)|brave(mary))))&
(((~... | ~quiet(mary) | [
"p1",
"p9",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8985188990739698076492087
% SZS output start Proof for 8985188990739698076492087
2. (calm(alice) & curious(alice)) <=> ? [X0] : (~creative(X0) <~> ~quiet(X0)) [input p1]
10. ! [X0] : (calm(X0) => (~quiet(X0) & ~wise(X0))) [input p9]
18. quiet(alice) [input p17]
24. creative(mary) [input p... | 0 |
Everyone who is wise is both not kind and not quiet.
Everyone who is not strong is either not patient or not quiet and vice versa.
If someone is both brave and humble then mary is wise or creative and vice versa.
Everyone who is quiet is either creative or tall and vice versa.
Everyone who is old is both kind and calm.... | Susan is wise. | contradiction | (![X]:(wise(X)=>(~kind(X)&~quiet(X))))&
(![X]:(~strong(X)<=>(~patient(X)<~>~quiet(X))))&
((?[X]:((brave(X)&humble(X))))<=>((wise(mary)|creative(mary))))&
(![X]:(quiet(X)<=>(creative(X)<~>tall(X))))&
(![X]:(old(X)=>(kind(X)&calm(X))))&
((?[X]:(~creative(X)))=>((~curious(susan)<~>generous(susan))))&
(![X]:((strong(X)&old... | wise(susan) | [
"p0",
"p3",
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2123923015196776103660541
% SZS output start Proof for 2123923015196776103660541
1. ! [X0] : (wise(X0) => (~quiet(X0) & ~kind(X0))) [input p0]
4. ! [X0] : (quiet(X0) <=> (creative(X0) <~> tall(X0))) [input p3]
8. ! [X0] : ((~curious(X0) | curious(X0)) <=> (rich(X0) <~> ~creative(X0))) [in... | 0 |
Everyone who is both curious and not tall is either funny or not brave.
Everyone who is both not rich and not curious is not wise or not strong.
Everyone who is either old or brave is not humble or tall and vice versa.
If paul is both patient and creative then someone is not rich and vice versa.
If paul is not humble t... | John is wise. | entailment | (![X]:((curious(X)&~tall(X))=>(funny(X)<~>~brave(X))))&
(![X]:((~rich(X)&~curious(X))=>(~wise(X)|~strong(X))))&
(![X]:((old(X)<~>brave(X))<=>(~humble(X)|tall(X))))&
(((patient(paul)&creative(paul)))<=>(?[X]:(~rich(X))))&
((~humble(paul))<=>(?[X]:((~creative(X)|calm(X)))))&
(![X]:(tall(X)<=>~old(X)))&
((?[X]:((~happy(X)... | wise(john) | [
"p8",
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1827724953498746576597048
% SZS output start Proof for 1827724953498746576597048
9. ! [X0] : ((~rich(X0) | ~calm(X0)) => (strong(X0) & ~tall(X0))) [input p8]
12. ! [X0] : ((~quiet(X0) & ~calm(X0)) <=> (~tall(X0) <~> rich(X0))) [input p11]
14. ! [X0] : ((~strong(X0) <~> ~rich(X0)) => tall(... | 0 |
If alice is not tall then mary is not creative or creative.
Everyone who is humble is either not kind or funny and vice versa.
If fred is strong or not tall then someone is generous and vice versa.
If susan is strong then alice is tall or not old and vice versa.
If alice is both generous and not wise then lucy is not q... | Fred is strong. | neutral | ((~tall(alice))=>((~creative(mary)|creative(mary))))&
(![X]:(humble(X)<=>(~kind(X)<~>funny(X))))&
(((strong(fred)|~tall(fred)))<=>(?[X]:(generous(X))))&
((strong(susan))<=>((tall(alice)|~old(alice))))&
(((generous(alice)&~wise(alice)))<=>(~quiet(lucy)))&
(![X]:(~tall(X)<=>~calm(X)))&
(((~humble(paul)&~patient(paul)))<=... | strong(fred) | [] | null | 0 |
Everyone who is brave is wise and vice versa.
Everyone who is not quiet is either creative or not tall and vice versa.
If john is either not wise or not strong then someone is both happy and curious and vice versa.
If lucy is not generous or humble then someone is not generous or not old and vice versa.
If susan is not... | Fred is not rich. | entailment | (![X]:(brave(X)<=>wise(X)))&
(![X]:(~quiet(X)<=>(creative(X)<~>~tall(X))))&
(((~wise(john)<~>~strong(john)))<=>(?[X]:((happy(X)&curious(X)))))&
(((~generous(lucy)|humble(lucy)))<=>(?[X]:((~generous(X)|~old(X)))))&
((~humble(susan))<=>((funny(paul)&humble(paul))))&
(![X]:((~patient(X)&generous(X))=>(calm(X)<~>wise(X))))... | ~rich(fred) | [
"p0",
"p11",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2578732831924029991413228
% SZS output start Proof for 2578732831924029991413228
1. ! [X0] : (brave(X0) <=> wise(X0)) [input p0]
12. ! [X0] : ((~creative(X0) | ~kind(X0)) => (wise(X0) & old(X0))) [input p11]
13. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> (~kind(X0) | ~rich(X0))) [input p12]
2... | 0 |
If someone is both not happy and not generous then someone is brave or not creative and vice versa.
Everyone who is both funny and happy is both not humble and calm and vice versa.
If susan is generous or kind then paul is not creative or not generous.
Everyone who is humble is either rich or not happy and vice versa.
... | Paul is not patient. | contradiction | ((?[X]:((~happy(X)&~generous(X))))<=>(?[X]:((brave(X)|~creative(X)))))&
(![X]:((funny(X)&happy(X))<=>(~humble(X)&calm(X))))&
(((generous(susan)|kind(susan)))=>((~creative(paul)|~generous(paul))))&
(![X]:(humble(X)<=>(rich(X)<~>~happy(X))))&
(![X]:((wise(X)|calm(X))=>(brave(X)&~wise(X))))&
(![X]:((patient(X)&~strong(X))... | ~patient(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8773838493734695470645421
% SZS output start Proof for 8773838493734695470645421
6. ! [X0] : ((~strong(X0) & patient(X0)) <=> ~patient(X0)) [input p5]
23. ~patient(paul) [input hypothesis]
46. ! [X0] : (((~strong(X0) & patient(X0)) | patient(X0)) & (~patient(X0) | (strong(X0) | ~patient(X... | 0 |
If lucy is either not wise or kind then mary is not generous or not happy and vice versa.
Everyone who is curious is both not tall and not kind and vice versa.
If someone is either strong or old then john is not curious and vice versa.
Everyone who is not strong or strong is not rich.
Everyone who is both not wise and ... | Susan is not happy. | neutral | (((~wise(lucy)<~>kind(lucy)))<=>((~generous(mary)|~happy(mary))))&
(![X]:(curious(X)<=>(~tall(X)&~kind(X))))&
((?[X]:((strong(X)<~>old(X))))<=>(~curious(john)))&
(![X]:((~strong(X)|strong(X))=>~rich(X)))&
(![X]:((~wise(X)&~old(X))=>~happy(X)))&
(![X]:((~strong(X)<~>kind(X))<=>(~strong(X)&strong(X))))&
((?[X]:((patient(... | ~happy(susan) | [] | null | 0 |
Everyone who is curious or not rich is not kind or strong and vice versa. If susan is either rich or not patient then fred is not strong or calm. Everyone who is both generous and not generous is patient or strong. If susan is generous or not rich then someone is either strong or not wise and vice versa. If someone is ... | Mary is generous. | neutral | (![X]:((curious(X)|~rich(X))<=>(~kind(X)|strong(X))))&
(((rich(susan)<~>~patient(susan)))=>((~strong(fred)|calm(fred))))&
(![X]:((generous(X)&~generous(X))=>(patient(X)|strong(X))))&
(((generous(susan)|~rich(susan)))<=>(?[X]:((strong(X)<~>~wise(X)))))&
((?[X]:((~curious(X)|tall(X))))=>(?[X]:((~wise(X)<~>happy(X)))))&
(... | generous(mary) | [] | null | 0 |
Everyone who is either not humble or creative is not brave or curious and vice versa. If susan is either rich or not happy then someone is either not rich or funny. Everyone who is either kind or funny is not wise and vice versa. Everyone who is both not old and quiet is both not quiet and patient and vice versa. Every... | John is not funny. | neutral | (![X]:((~humble(X)<~>creative(X))<=>(~brave(X)|curious(X))))&
(((rich(susan)<~>~happy(susan)))=>(?[X]:((~rich(X)<~>funny(X)))))&
(![X]:((kind(X)<~>funny(X))<=>~wise(X)))&
(![X]:((~old(X)&quiet(X))<=>(~quiet(X)&patient(X))))&
(![X]:(quiet(X)<=>creative(X)))&
(![X]:(~quiet(X)=>(~wise(X)&~quiet(X))))&
(![X]:(~patient(X)=>... | ~funny(john) | [] | null | 0 |
If someone is old then susan is either not calm or not creative and vice versa. Everyone who is not humble is either not quiet or patient. Everyone who is not quiet or not old is quiet and vice versa. Everyone who is both not humble and not quiet is not generous and vice versa. Everyone who is either curious or not tal... | Paul is creative. | neutral | ((?[X]:(old(X)))<=>((~calm(susan)<~>~creative(susan))))&
(![X]:(~humble(X)=>(~quiet(X)<~>patient(X))))&
(![X]:((~quiet(X)|~old(X))<=>quiet(X)))&
(![X]:((~humble(X)&~quiet(X))<=>~generous(X)))&
(![X]:((curious(X)<~>~tall(X))=>(funny(X)&tall(X))))&
((?[X]:((tall(X)&strong(X))))<=>((generous(susan)<~>~curious(susan))))&
(... | creative(paul) | [] | null | 0 |
If someone is not generous or not calm then someone is either wise or brave.
If someone is both not quiet and humble then alice is curious.
If john is wise or not brave then fred is not wise or not curious.
If john is creative then someone is happy or not wise and vice versa.
Everyone who is not creative is not calm or... | John is not humble. | entailment | ((?[X]:((~generous(X)|~calm(X))))=>(?[X]:((wise(X)<~>brave(X)))))&
((?[X]:((~quiet(X)&humble(X))))=>(curious(alice)))&
(((wise(john)|~brave(john)))=>((~wise(fred)|~curious(fred))))&
((creative(john))<=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:(~creative(X)<=>(~calm(X)|humble(X))))&
(((strong(mary)&~wise(mary)))=>(?[X]:((~f... | ~humble(john) | [
"p2",
"p3",
"p4",
"p9",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4107395144505691791838808
% SZS output start Proof for 4107395144505691791838808
3. (~brave(john) | wise(john)) => (~curious(fred) | ~wise(fred)) [input p2]
4. creative(john) <=> ? [X0] : (~wise(X0) | happy(X0)) [input p3]
5. ! [X0] : (~creative(X0) <=> (humble(X0) | ~calm(X0))) [input p4... | 0 |
If someone is not generous or not humble then lucy is either not old or humble.
If lucy is both not curious and not quiet then someone is rich and vice versa.
Everyone who is both strong and not strong is not happy and vice versa.
Everyone who is either curious or not generous is calm or curious and vice versa.
If paul... | John is not kind. | entailment | ((?[X]:((~generous(X)|~humble(X))))=>((~old(lucy)<~>humble(lucy))))&
(((~curious(lucy)&~quiet(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((strong(X)&~strong(X))<=>~happy(X)))&
(![X]:((curious(X)<~>~generous(X))<=>(calm(X)|curious(X))))&
(((~old(paul)<~>~funny(paul)))=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~rich(X)|~generous(X))... | ~kind(john) | [
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5971098781898282998475144
% SZS output start Proof for 5971098781898282998475144
9. ! [X0] : ((~tall(X0) | strong(X0)) <=> (generous(X0) | ~strong(X0))) [input p8]
15. ! [X0] : (kind(X0) => (~generous(X0) <~> ~strong(X0))) [input p14]
16. (generous(john) | creative(john)) => ? [X0] : (~ge... | 0 |
Everyone who is both not patient and not creative is not kind.
If mary is not wise or patient then mary is not tall and vice versa.
Everyone who is old is both not curious and not old.
Everyone who is not happy is kind or not wise and vice versa.
If fred is either not tall or not funny then paul is either rich or humbl... | Mary is not patient. | entailment | (![X]:((~patient(X)&~creative(X))=>~kind(X)))&
(((~wise(mary)|patient(mary)))<=>(~tall(mary)))&
(![X]:(old(X)=>(~curious(X)&~old(X))))&
(![X]:(~happy(X)<=>(kind(X)|~wise(X))))&
(((~tall(fred)<~>~funny(fred)))<=>((rich(paul)<~>humble(paul))))&
(![X]:((generous(X)<~>~creative(X))<=>(~patient(X)<~>creative(X))))&
((?[X]:(... | ~patient(mary) | [
"p3",
"p5",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4146724486918079833625315
% SZS output start Proof for 4146724486918079833625315
4. ! [X0] : (~happy(X0) <=> (~wise(X0) | kind(X0))) [input p3]
6. ! [X0] : ((generous(X0) <~> ~creative(X0)) <=> (~patient(X0) <~> creative(X0))) [input p5]
11. ! [X0] : ((generous(X0) <~> ~kind(X0)) <=> (~ha... | 0 |
If someone is not humble then fred is creative.
Everyone who is both generous and happy is funny.
If john is not creative or not old then alice is either not humble or not quiet.
If paul is not rich or curious then mary is not humble or not quiet.
Everyone who is not old or not humble is not happy or funny and vice ver... | Mary is generous. | neutral | ((?[X]:(~humble(X)))=>(creative(fred)))&
(![X]:((generous(X)&happy(X))=>funny(X)))&
(((~creative(john)|~old(john)))=>((~humble(alice)<~>~quiet(alice))))&
(((~rich(paul)|curious(paul)))=>((~humble(mary)|~quiet(mary))))&
(![X]:((~old(X)|~humble(X))<=>(~happy(X)|funny(X))))&
(((~rich(fred)&curious(fred)))=>(?[X]:((~brave(... | generous(mary) | [] | null | 0 |
If lucy is either not happy or old then someone is not tall or tall.
If mary is not quiet then john is both curious and not funny and vice versa.
If someone is not tall then someone is both not kind and rich.
Everyone who is not funny is either generous or tall and vice versa.
Everyone who is either old or not kind is ... | Mary is quiet. | entailment | (((~happy(lucy)<~>old(lucy)))=>(?[X]:((~tall(X)|tall(X)))))&
((~quiet(mary))<=>((curious(john)&~funny(john))))&
((?[X]:(~tall(X)))=>(?[X]:((~kind(X)&rich(X)))))&
(![X]:(~funny(X)<=>(generous(X)<~>tall(X))))&
(![X]:((old(X)<~>~kind(X))=>(~patient(X)<~>funny(X))))&
((strong(susan))<=>((funny(john)<~>~brave(john))))&
((?[... | quiet(mary) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 298325854935823665748330
% SZS output start Proof for 298325854935823665748330
11. ! [X0] : ((~tall(X0) | ~quiet(X0)) <=> (~funny(X0) & funny(X0))) [input p10]
24. ~quiet(mary) [input hypothesis]
55. ! [X0] : (((~tall(X0) | ~quiet(X0)) | (funny(X0) | ~funny(X0))) & ((~funny(X0) & funny(X0... | 0 |
Everyone who is creative or brave is either not tall or old and vice versa.
If someone is not strong or old then someone is either curious or not creative.
If someone is calm then john is not humble and vice versa.
If someone is quiet or old then someone is both not tall and calm.
Everyone who is not wise is either str... | John is humble. | contradiction | (![X]:((creative(X)|brave(X))<=>(~tall(X)<~>old(X))))&
((?[X]:((~strong(X)|old(X))))=>(?[X]:((curious(X)<~>~creative(X)))))&
((?[X]:(calm(X)))<=>(~humble(john)))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:((~tall(X)&calm(X)))))&
(![X]:(~wise(X)<=>(strong(X)<~>~quiet(X))))&
(![X]:((curious(X)&generous(X))<=>(funny(X)|~strong(X... | humble(john) | [
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 6887096913394088561865255
% SZS output start Proof for 6887096913394088561865255
3. ? [X0] : calm(X0) <=> ~humble(john) [input p2]
4. ? [X0] : (old(X0) | quiet(X0)) => ? [X0] : (calm(X0) & ~tall(X0)) [input p3]
8. (~old(john) | ~rich(john)) <=> (~calm(mary) & quiet(mary)) [input p7]
25. h... | 0 |
Everyone who is not kind is either not kind or not creative and vice versa.
If someone is both curious and not generous then john is not wise or brave and vice versa.
If fred is not patient or not rich then someone is generous.
If john is either old or quiet then someone is happy or quiet.
Everyone who is creative is e... | Susan is not rich. | contradiction | (![X]:(~kind(X)<=>(~kind(X)<~>~creative(X))))&
((?[X]:((curious(X)&~generous(X))))<=>((~wise(john)|brave(john))))&
(((~patient(fred)|~rich(fred)))=>(?[X]:(generous(X))))&
(((old(john)<~>quiet(john)))=>(?[X]:((happy(X)|quiet(X)))))&
(![X]:(creative(X)<=>(~strong(X)<~>creative(X))))&
(![X]:(~rich(X)=>tall(X)))&
((?[X]:(h... | ~rich(susan) | [
"p0",
"p4",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4379843641514309294176619
% SZS output start Proof for 4379843641514309294176619
1. ! [X0] : (~kind(X0) <=> (~kind(X0) <~> ~creative(X0))) [input p0]
5. ! [X0] : (creative(X0) <=> (~strong(X0) <~> creative(X0))) [input p4]
14. ? [X0] : (calm(X0) | ~rich(X0)) <=> ~strong(alice) [input p13]... | 0 |
If someone is either not creative or not humble then someone is both quiet and tall and vice versa.
If paul is either kind or generous then someone is not brave or not kind.
Everyone who is both not happy and tall is both old and not brave and vice versa.
Everyone who is not generous is curious or not happy.
If someone... | Paul is brave. | contradiction | ((?[X]:((~creative(X)<~>~humble(X))))<=>(?[X]:((quiet(X)&tall(X)))))&
(((kind(paul)<~>generous(paul)))=>(?[X]:((~brave(X)|~kind(X)))))&
(![X]:((~happy(X)&tall(X))<=>(old(X)&~brave(X))))&
(![X]:(~generous(X)=>(curious(X)|~happy(X))))&
((?[X]:(kind(X)))=>((~kind(fred)&~rich(fred))))&
(![X]:((~calm(X)&~patient(X))=>(funny... | brave(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2594229241055253522869619
% SZS output start Proof for 2594229241055253522869619
13. ! [X0] : ((~old(X0) | brave(X0)) => (~happy(X0) & ~brave(X0))) [input p12]
23. brave(paul) [input hypothesis]
35. ! [X0] : ((~happy(X0) & ~brave(X0)) | (old(X0) & ~brave(X0))) [ennf transformation 13]
105... | 0 |
If paul is both not tall and creative then mary is not creative or kind and vice versa. Everyone who is not old or generous is either curious or not calm and vice versa. Everyone who is both brave and patient is tall or curious. If someone is both not curious and strong then someone is not humble. Everyone who is eithe... | John is not curious. | neutral | (((~tall(paul)&creative(paul)))<=>((~creative(mary)|kind(mary))))&
(![X]:((~old(X)|generous(X))<=>(curious(X)<~>~calm(X))))&
(![X]:((brave(X)&patient(X))=>(tall(X)|curious(X))))&
((?[X]:((~curious(X)&strong(X))))=>(?[X]:(~humble(X))))&
(![X]:((~rich(X)<~>funny(X))=>(~creative(X)<~>tall(X))))&
(![X]:((wise(X)<~>patient(... | ~curious(john) | [] | null | 0 |
Everyone who is not funny is both patient and not old and vice versa. Everyone who is humble is either not tall or not old. If someone is not old then someone is either not brave or quiet and vice versa. Everyone who is old is both wise and not rich and vice versa. Everyone who is patient or old is both quiet and not k... | Fred is not rich. | neutral | (![X]:(~funny(X)<=>(patient(X)&~old(X))))&
(![X]:(humble(X)=>(~tall(X)<~>~old(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(old(X)<=>(wise(X)&~rich(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)&~kind(X))))&
(![X]:((~patient(X)|~wise(X))<=>(quiet(X)<~>old(X))))&
(![X]:((~calm(X)&calm(X))=>(calm(X)<~... | ~rich(fred) | [] | null | 0 |
Everyone who is both patient and not wise is both not generous and not quiet and vice versa.
If someone is either old or rich then paul is not old or strong and vice versa.
Everyone who is old is patient and vice versa.
If someone is not strong or strong then someone is creative or happy.
Everyone who is not rich is ei... | Fred is not rich. | neutral | (![X]:((patient(X)&~wise(X))<=>(~generous(X)&~quiet(X))))&
((?[X]:((old(X)<~>rich(X))))<=>((~old(paul)|strong(paul))))&
(![X]:(old(X)<=>patient(X)))&
((?[X]:((~strong(X)|strong(X))))=>(?[X]:((creative(X)|happy(X)))))&
(![X]:(~rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((humble(X)<~>strong(X)))))&
... | ~rich(fred) | [] | null | 0 |
If paul is either brave or not wise then alice is patient. Everyone who is not funny is either old or not patient and vice versa. If someone is either not brave or creative then someone is not funny. Everyone who is both tall and quiet is curious or not curious. Everyone who is both not generous and creative is not bra... | Paul is curious. | contradiction | (((brave(paul)<~>~wise(paul)))=>(patient(alice)))&
(![X]:(~funny(X)<=>(old(X)<~>~patient(X))))&
((?[X]:((~brave(X)<~>creative(X))))=>(?[X]:(~funny(X))))&
(![X]:((tall(X)&quiet(X))=>(curious(X)|~curious(X))))&
(![X]:((~generous(X)&creative(X))<=>(~brave(X)|~rich(X))))&
(![X]:((~rich(X)&~quiet(X))<=>(~brave(X)&~generous(... | curious(paul) | [
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2563389341813440719682612
% SZS output start Proof for 2563389341813440719682612
7. ! [X0] : ((~brave(X0) & curious(X0)) => ~curious(X0)) [input p6]
11. ! [X0] : ((~old(X0) | brave(X0)) => (~brave(X0) & ~calm(X0))) [input p10]
22. curious(paul) [input hypothesis]
28. ! [X0] : (~curious(X0... | 0 |
Everyone who is funny or brave is kind and vice versa.
Everyone who is not brave or rich is either not quiet or not rich.
If john is quiet then susan is either not humble or not happy and vice versa.
If someone is not funny then paul is quiet or not tall.
Everyone who is not calm is happy or not creative and vice versa... | Fred is rich. | contradiction | (![X]:((funny(X)|brave(X))<=>kind(X)))&
(![X]:((~brave(X)|rich(X))=>(~quiet(X)<~>~rich(X))))&
((quiet(john))<=>((~humble(susan)<~>~happy(susan))))&
((?[X]:(~funny(X)))=>((quiet(paul)|~tall(paul))))&
(![X]:(~calm(X)<=>(happy(X)|~creative(X))))&
(![X]:((funny(X)<~>generous(X))=>patient(X)))&
(![X]:(~curious(X)=>(brave(X)... | rich(fred) | [
"p1",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1166881703038070731829181
% SZS output start Proof for 1166881703038070731829181
2. ! [X0] : ((rich(X0) | ~brave(X0)) => (~quiet(X0) <~> ~rich(X0))) [input p1]
15. ! [X0] : ((~quiet(X0) & tall(X0)) => ~happy(X0)) [input p14]
18. happy(fred) & tall(fred) [input p17]
25. rich(fred) [input h... | 0 |
Everyone who is both happy and not strong is either happy or brave.
If paul is calm or curious then paul is either not patient or not curious and vice versa.
If john is either not calm or kind then someone is both quiet and not patient.
If john is both not curious and not quiet then someone is not patient.
Everyone who... | Mary is not quiet. | contradiction | (![X]:((happy(X)&~strong(X))=>(happy(X)<~>brave(X))))&
(((calm(paul)|curious(paul)))<=>((~patient(paul)<~>~curious(paul))))&
(((~calm(john)<~>kind(john)))=>(?[X]:((quiet(X)&~patient(X)))))&
(((~curious(john)&~quiet(john)))=>(?[X]:(~patient(X))))&
(![X]:((strong(X)&~rich(X))<=>(tall(X)&~strong(X))))&
((?[X]:((happy(X)<~... | ~quiet(mary) | [
"p5",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4383124326061898059705497
% SZS output start Proof for 4383124326061898059705497
6. ? [X0] : (happy(X0) <~> ~quiet(X0)) <=> ? [X0] : (~kind(X0) & ~humble(X0)) [input p5]
16. ! [X0] : ((~kind(X0) | ~old(X0)) => (~curious(X0) & kind(X0))) [input p15]
21. ~happy(mary) | quiet(mary) [input p2... | 0 |
If mary is not patient or not creative then john is both brave and kind. Everyone who is brave is creative. If someone is both not wise and generous then someone is both funny and tall and vice versa. If susan is not curious or wise then alice is generous or happy and vice versa. Everyone who is both curious and not hu... | John is not old. | contradiction | (((~patient(mary)|~creative(mary)))=>((brave(john)&kind(john))))&
(![X]:(brave(X)=>creative(X)))&
((?[X]:((~wise(X)&generous(X))))<=>(?[X]:((funny(X)&tall(X)))))&
(((~curious(susan)|wise(susan)))<=>((generous(alice)|happy(alice))))&
(![X]:((curious(X)&~humble(X))<=>~curious(X)))&
((?[X]:(curious(X)))=>(?[X]:((~old(X)&~... | ~old(john) | [
"p4",
"p6",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6060203980516731509879982
% SZS output start Proof for 6060203980516731509879982
5. ! [X0] : ((~humble(X0) & curious(X0)) <=> ~curious(X0)) [input p4]
7. (~creative(alice) | kind(alice)) <=> (rich(john) & tall(john)) [input p6]
9. ! [X0] : ((generous(X0) & happy(X0)) <=> ~old(X0)) [input ... | 0 |
If susan is both kind and rich then john is calm or kind.
Everyone who is old or kind is both old and creative and vice versa.
Everyone who is not generous is brave or not rich and vice versa.
Everyone who is either funny or not creative is either calm or wise and vice versa.
Everyone who is either quiet or not old is ... | Susan is not rich. | entailment | (((kind(susan)&rich(susan)))=>((calm(john)|kind(john))))&
(![X]:((old(X)|kind(X))<=>(old(X)&creative(X))))&
(![X]:(~generous(X)<=>(brave(X)|~rich(X))))&
(![X]:((funny(X)<~>~creative(X))<=>(calm(X)<~>wise(X))))&
(![X]:((quiet(X)<~>~old(X))=>(~strong(X)&~quiet(X))))&
(![X]:(happy(X)=>(happy(X)<~>strong(X))))&
((?[X]:((cr... | ~rich(susan) | [
"p2",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5627932440135911052846047
% SZS output start Proof for 5627932440135911052846047
3. ! [X0] : (~generous(X0) <=> (~rich(X0) | brave(X0))) [input p2]
12. ? [X0] : (~tall(X0) | ~creative(X0)) <=> ~brave(susan) [input p11]
13. ! [X0] : ((kind(X0) | creative(X0)) <=> (~creative(X0) & patient(X... | 0 |
If someone is not brave then someone is both strong and not curious and vice versa. If paul is funny then lucy is both strong and quiet. Everyone who is not strong is happy or not curious and vice versa. Everyone who is funny is wise or not rich and vice versa. If someone is either not happy or not rich then paul is bo... | Mary is quiet. | entailment | ((?[X]:(~brave(X)))<=>(?[X]:((strong(X)&~curious(X)))))&
((funny(paul))=>((strong(lucy)&quiet(lucy))))&
(![X]:(~strong(X)<=>(happy(X)|~curious(X))))&
(![X]:(funny(X)<=>(wise(X)|~rich(X))))&
((?[X]:((~happy(X)<~>~rich(X))))=>((~rich(paul)&strong(paul))))&
(![X]:((~creative(X)|~old(X))=>(~tall(X)<~>~patient(X))))&
(![X]:... | quiet(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7058946304735707355868638
% SZS output start Proof for 7058946304735707355868638
13. ! [X0] : (~quiet(X0) => quiet(X0)) [input p12]
24. ~quiet(mary) [input hypothesis]
39. ! [X0] : (quiet(X0) | quiet(X0)) [ennf transformation 13]
110. quiet(X0) | quiet(X0) [cnf transformation 39]
131. ~qu... | 0 |
If alice is both not old and patient then someone is either not generous or happy.
Everyone who is not happy or not humble is happy and vice versa.
Everyone who is creative or not quiet is both not brave and brave and vice versa.
If someone is both patient and humble then someone is both quiet and not calm.
If someone ... | Lucy is not wise. | entailment | (((~old(alice)&patient(alice)))=>(?[X]:((~generous(X)<~>happy(X)))))&
(![X]:((~happy(X)|~humble(X))<=>happy(X)))&
(![X]:((creative(X)|~quiet(X))<=>(~brave(X)&brave(X))))&
((?[X]:((patient(X)&humble(X))))=>(?[X]:((quiet(X)&~calm(X)))))&
((?[X]:((old(X)&patient(X))))=>((creative(susan)&old(susan))))&
(![X]:(~old(X)<=>(cr... | ~wise(lucy) | [
"p1",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4691419870534833328608475
% SZS output start Proof for 4691419870534833328608475
2. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> happy(X0)) [input p1]
7. ! [X0] : (tall(X0) <=> wise(X0)) [input p6]
14. ? [X0] : tall(X0) => ? [X0] : humble(X0) [input p13]
22. wise(lucy) [input hypothesis]
25. ... | 0 |
Everyone who is not funny is either not kind or not humble and vice versa.
If someone is brave then paul is either not funny or not calm and vice versa.
If someone is not tall then someone is funny or brave.
Everyone who is patient or not quiet is both not brave and curious.
If susan is both not curious and calm then s... | Susan is rich. | contradiction | (![X]:(~funny(X)<=>(~kind(X)<~>~humble(X))))&
((?[X]:(brave(X)))<=>((~funny(paul)<~>~calm(paul))))&
((?[X]:(~tall(X)))=>(?[X]:((funny(X)|brave(X)))))&
(![X]:((patient(X)|~quiet(X))=>(~brave(X)&curious(X))))&
(((~curious(susan)&calm(susan)))<=>(?[X]:((~patient(X)&~rich(X)))))&
((?[X]:((creative(X)&curious(X))))<=>(?[X]:... | rich(susan) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1746988826035307330182551
% SZS output start Proof for 1746988826035307330182551
1. ! [X0] : (~funny(X0) <=> (~kind(X0) <~> ~humble(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | patient(X0)) => (curious(X0) & ~brave(X0))) [input p3]
5. (calm(susan) & ~curious(susan)) <=> ? [X0] : (~rich(X0)... | 0 |
Everyone who is both generous and calm is either not rich or brave and vice versa.
Everyone who is not curious or not humble is either not creative or not calm and vice versa.
If someone is not old then susan is not calm and vice versa.
Everyone who is strong or not creative is not curious.
Everyone who is either not r... | Paul is not funny. | contradiction | (![X]:((generous(X)&calm(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~curious(X)|~humble(X))<=>(~creative(X)<~>~calm(X))))&
((?[X]:(~old(X)))<=>(~calm(susan)))&
(![X]:((strong(X)|~creative(X))=>~curious(X)))&
(![X]:((~rich(X)<~>brave(X))<=>(humble(X)|old(X))))&
(![X]:((~rich(X)&~kind(X))<=>(generous(X)|~funny(X))))&
((?[X]:... | ~funny(paul) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p8",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2597314663851810193532504
% SZS output start Proof for 2597314663851810193532504
1. ! [X0] : ((calm(X0) & generous(X0)) <=> (~rich(X0) <~> brave(X0))) [input p0]
2. ! [X0] : ((~humble(X0) | ~curious(X0)) <=> (~creative(X0) <~> ~calm(X0))) [input p1]
3. ? [X0] : ~old(X0) <=> ~calm(susan) [... | 0 |
If mary is both funny and humble then someone is either humble or strong.
If someone is patient then mary is not strong or not creative.
If someone is either humble or not wise then susan is both not brave and happy and vice versa.
If fred is happy or not tall then someone is both tall and creative and vice versa.
If l... | Mary is not strong. | neutral | (((funny(mary)&humble(mary)))=>(?[X]:((humble(X)<~>strong(X)))))&
((?[X]:(patient(X)))=>((~strong(mary)|~creative(mary))))&
((?[X]:((humble(X)<~>~wise(X))))<=>((~brave(susan)&happy(susan))))&
(((happy(fred)|~tall(fred)))<=>(?[X]:((tall(X)&creative(X)))))&
(((~calm(lucy)&~creative(lucy)))<=>((~curious(paul)|curious(paul... | ~strong(mary) | [] | null | 0 |
If someone is humble then john is either not tall or not brave and vice versa.
Everyone who is either not strong or rich is both not funny and not creative and vice versa.
If someone is not patient or not tall then someone is not wise and vice versa.
If mary is either humble or brave then alice is not strong or not tal... | Alice is not wise. | entailment | ((?[X]:(humble(X)))<=>((~tall(john)<~>~brave(john))))&
(![X]:((~strong(X)<~>rich(X))<=>(~funny(X)&~creative(X))))&
((?[X]:((~patient(X)|~tall(X))))<=>(?[X]:(~wise(X))))&
(((humble(mary)<~>brave(mary)))<=>((~strong(alice)|~tall(alice))))&
(((~strong(alice)<~>generous(alice)))=>(?[X]:((~old(X)&rich(X)))))&
(![X]:((~gener... | ~wise(alice) | [
"p1",
"p4",
"p5",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8876196842273544076548694
% SZS output start Proof for 8876196842273544076548694
2. ! [X0] : ((~strong(X0) <~> rich(X0)) <=> (~creative(X0) & ~funny(X0))) [input p1]
5. (~strong(alice) <~> generous(alice)) => ? [X0] : (rich(X0) & ~old(X0)) [input p4]
6. ! [X0] : ((~creative(X0) & ~generou... | 0 |
Everyone who is not calm or not wise is not rich.
If john is humble or happy then someone is both not rich and not brave.
If fred is generous then paul is generous and vice versa.
If someone is either kind or not quiet then john is either not creative or strong.
Everyone who is not quiet is wise or not tall and vice ve... | Paul is not tall. | contradiction | (![X]:((~calm(X)|~wise(X))=>~rich(X)))&
(((humble(john)|happy(john)))=>(?[X]:((~rich(X)&~brave(X)))))&
((generous(fred))<=>(generous(paul)))&
((?[X]:((kind(X)<~>~quiet(X))))=>((~creative(john)<~>strong(john))))&
(![X]:(~quiet(X)<=>(wise(X)|~tall(X))))&
(![X]:(~old(X)=>(~humble(X)&generous(X))))&
(![X]:((~old(X)|~tall(X... | ~tall(paul) | [
"p5",
"p6",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6316400508468369613953152
% SZS output start Proof for 6316400508468369613953152
6. ! [X0] : (~old(X0) => (generous(X0) & ~humble(X0))) [input p5]
7. ! [X0] : ((~tall(X0) | ~old(X0)) => ~generous(X0)) [input p6]
8. ! [X0] : ((~funny(X0) | ~brave(X0)) <=> ~tall(X0)) [input p7]
9. ! [X0] : ... | 0 |
Everyone who is happy or not patient is curious and vice versa.
Everyone who is creative is both strong and generous.
Everyone who is not creative or funny is kind or not funny.
Everyone who is either not quiet or old is not quiet or creative and vice versa.
If someone is either kind or not brave then someone is both h... | Lucy is not creative. | contradiction | (![X]:((happy(X)|~patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(strong(X)&generous(X))))&
(![X]:((~creative(X)|funny(X))=>(kind(X)|~funny(X))))&
(![X]:((~quiet(X)<~>old(X))<=>(~quiet(X)|creative(X))))&
((?[X]:((kind(X)<~>~brave(X))))<=>(?[X]:((happy(X)&~rich(X)))))&
(![X]:((~funny(X)<~>rich(X))<=>(~creative(X)<~>hum... | ~creative(lucy) | [
"p2",
"p3",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7379056278373746954345793
% SZS output start Proof for 7379056278373746954345793
3. ! [X0] : ((funny(X0) | ~creative(X0)) => (~funny(X0) | kind(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (creative(X0) | ~quiet(X0))) [input p3]
10. ! [X0] : ((~old(X0) <~> ~kind(X0)) => (~wi... | 0 |
If lucy is either not brave or wise then someone is either curious or not funny and vice versa.
If someone is not old or generous then someone is both not generous and not humble.
Everyone who is both not happy and funny is strong or not strong and vice versa.
If someone is not rich then someone is old or kind.
Everyon... | Susan is happy. | contradiction | (((~brave(lucy)<~>wise(lucy)))<=>(?[X]:((curious(X)<~>~funny(X)))))&
((?[X]:((~old(X)|generous(X))))=>(?[X]:((~generous(X)&~humble(X)))))&
(![X]:((~happy(X)&funny(X))<=>(strong(X)|~strong(X))))&
((?[X]:(~rich(X)))=>(?[X]:((old(X)|kind(X)))))&
(![X]:((~rich(X)&wise(X))=>(~humble(X)<~>~brave(X))))&
(![X]:((generous(X)|ca... | happy(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4004442314935577699575300
% SZS output start Proof for 4004442314935577699575300
3. ! [X0] : ((funny(X0) & ~happy(X0)) <=> (~strong(X0) | strong(X0))) [input p2]
22. happy(susan) [input hypothesis]
45. ! [X0] : (((funny(X0) & ~happy(X0)) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | str... | 0 |
If someone is not curious then someone is patient or happy and vice versa. Everyone who is either curious or quiet is both not wise and creative and vice versa. Everyone who is either not quiet or creative is not old and vice versa. Everyone who is wise is humble and vice versa. If john is not rich or not happy then so... | Fred is funny. | entailment | ((?[X]:(~curious(X)))<=>(?[X]:((patient(X)|happy(X)))))&
(![X]:((curious(X)<~>quiet(X))<=>(~wise(X)&creative(X))))&
(![X]:((~quiet(X)<~>creative(X))<=>~old(X)))&
(![X]:(wise(X)<=>humble(X)))&
(((~rich(john)|~happy(john)))<=>(?[X]:((~strong(X)&brave(X)))))&
(![X]:((~patient(X)&old(X))<=>(curious(X)|~funny(X))))&
(((rich... | funny(fred) | [
"p1",
"p2",
"p5",
"p7",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5102959754934271662987592
% SZS output start Proof for 5102959754934271662987592
2. ! [X0] : ((curious(X0) <~> quiet(X0)) <=> (creative(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) <~> creative(X0)) <=> ~old(X0)) [input p2]
6. ! [X0] : ((old(X0) & ~patient(X0)) <=> (~funny(X0) | ... | 0 |
If someone is not funny then someone is both not patient and not humble. Everyone who is both kind and humble is humble and vice versa. If john is both not quiet and not creative then someone is not happy or not patient and vice versa. If someone is both not rich and not creative then someone is rich. If alice is eithe... | Susan is rich. | neutral | ((?[X]:(~funny(X)))=>(?[X]:((~patient(X)&~humble(X)))))&
(![X]:((kind(X)&humble(X))<=>humble(X)))&
(((~quiet(john)&~creative(john)))<=>(?[X]:((~happy(X)|~patient(X)))))&
((?[X]:((~rich(X)&~creative(X))))=>(?[X]:(rich(X))))&
(((kind(alice)<~>funny(alice)))<=>(?[X]:((~strong(X)|~humble(X)))))&
(![X]:((~strong(X)&~curious... | rich(susan) | [] | null | 0 |
Everyone who is not funny is both patient and not old and vice versa. Everyone who is humble is either not tall or not old. If someone is not old then someone is either not brave or quiet and vice versa. Everyone who is old is both wise and not rich and vice versa. Everyone who is patient or old is both quiet and not k... | Lucy is kind. | entailment | (![X]:(~funny(X)<=>(patient(X)&~old(X))))&
(![X]:(humble(X)=>(~tall(X)<~>~old(X))))&
((?[X]:(~old(X)))<=>(?[X]:((~brave(X)<~>quiet(X)))))&
(![X]:(old(X)<=>(wise(X)&~rich(X))))&
(![X]:((patient(X)|old(X))=>(quiet(X)&~kind(X))))&
(![X]:((~patient(X)|~wise(X))<=>(quiet(X)<~>old(X))))&
(![X]:((~calm(X)&calm(X))=>(calm(X)<~... | kind(lucy) | [
"p4",
"p5",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2489299374676974055536231
% SZS output start Proof for 2489299374676974055536231
5. ! [X0] : ((old(X0) | patient(X0)) => (~kind(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~wise(X0) | ~patient(X0)) <=> (quiet(X0) <~> old(X0))) [input p5]
10. ! [X0] : ((~patient(X0) | ~wise(X0)) <=> (kind(X... | 0 |
If lucy is kind or not generous then someone is both wise and not brave and vice versa. Everyone who is not curious is funny and vice versa. Everyone who is both generous and kind is both not wise and not old and vice versa. If mary is either tall or quiet then someone is both not old and not quiet. Everyone who is eit... | Paul is not brave. | entailment | (((kind(lucy)|~generous(lucy)))<=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:(~curious(X)<=>funny(X)))&
(![X]:((generous(X)&kind(X))<=>(~wise(X)&~old(X))))&
(((tall(mary)<~>quiet(mary)))=>(?[X]:((~old(X)&~quiet(X)))))&
(![X]:((curious(X)<~>~curious(X))<=>(~old(X)|kind(X))))&
(![X]:((~brave(X)|curious(X))<=>~curious(X)))&
((?... | ~brave(paul) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5963277413697528930727202
% SZS output start Proof for 5963277413697528930727202
6. ! [X0] : ((curious(X0) | ~brave(X0)) <=> ~curious(X0)) [input p5]
23. brave(paul) [input hypothesis]
46. ! [X0] : (((curious(X0) | ~brave(X0)) | curious(X0)) & (~curious(X0) | (~curious(X0) & brave(X0)))) ... | 0 |
Everyone who is either not strong or not tall is either rich or patient.
If someone is either not happy or not creative then someone is not funny and vice versa.
Everyone who is both not curious and kind is both tall and not generous.
Everyone who is happy or not generous is either not tall or not funny and vice versa.... | Mary is patient. | neutral | (![X]:((~strong(X)<~>~tall(X))=>(rich(X)<~>patient(X))))&
((?[X]:((~happy(X)<~>~creative(X))))<=>(?[X]:(~funny(X))))&
(![X]:((~curious(X)&kind(X))=>(tall(X)&~generous(X))))&
(![X]:((happy(X)|~generous(X))<=>(~tall(X)<~>~funny(X))))&
((?[X]:((~strong(X)&rich(X))))=>((old(paul)&patient(paul))))&
((?[X]:((kind(X)|happy(X)... | patient(mary) | [] | null | 0 |
If someone is both old and not kind then someone is rich or happy.
Everyone who is either not calm or happy is not patient or happy and vice versa.
Everyone who is tall or happy is either patient or quiet and vice versa.
If susan is not generous then someone is both rich and brave and vice versa.
Everyone who is both n... | Mary is not calm. | contradiction | ((?[X]:((old(X)&~kind(X))))=>(?[X]:((rich(X)|happy(X)))))&
(![X]:((~calm(X)<~>happy(X))<=>(~patient(X)|happy(X))))&
(![X]:((tall(X)|happy(X))<=>(patient(X)<~>quiet(X))))&
((~generous(susan))<=>(?[X]:((rich(X)&brave(X)))))&
(![X]:((~rich(X)&~wise(X))=>(strong(X)<~>~calm(X))))&
(![X]:((tall(X)&humble(X))=>(humble(X)<~>~c... | ~calm(mary) | [
"p1",
"p2",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 460948358124001833845832
% SZS output start Proof for 460948358124001833845832
2. ! [X0] : ((~calm(X0) <~> happy(X0)) <=> (happy(X0) | ~patient(X0))) [input p1]
3. ! [X0] : ((happy(X0) | tall(X0)) <=> (patient(X0) <~> quiet(X0))) [input p2]
9. ! [X0] : ((~rich(X0) | kind(X0)) <=> (brave(X... | 0 |
If paul is either kind or not curious then someone is creative or patient.
Everyone who is either not creative or rich is brave or not wise and vice versa.
If susan is funny or happy then john is either not strong or not rich and vice versa.
Everyone who is either not funny or calm is not brave or rich and vice versa.
... | Fred is wise. | entailment | (((kind(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|patient(X)))))&
(![X]:((~creative(X)<~>rich(X))<=>(brave(X)|~wise(X))))&
(((funny(susan)|happy(susan)))<=>((~strong(john)<~>~rich(john))))&
(![X]:((~funny(X)<~>calm(X))<=>(~brave(X)|rich(X))))&
(![X]:(~calm(X)<=>(funny(X)|brave(X))))&
(![X]:(~patient(X)=>(rich(X)<~>... | wise(fred) | [
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1814679499370692630911117
% SZS output start Proof for 1814679499370692630911117
4. ! [X0] : ((~funny(X0) <~> calm(X0)) <=> (rich(X0) | ~brave(X0))) [input p3]
5. ! [X0] : (~calm(X0) <=> (brave(X0) | funny(X0))) [input p4]
13. ! [X0] : (~brave(X0) <=> ~wise(X0)) [input p12]
25. ~wise(fred... | 0 |
Everyone who is brave or not rich is both not brave and humble and vice versa.
Everyone who is tall or not curious is old.
If paul is not curious then someone is not strong.
Everyone who is generous is either quiet or not wise and vice versa.
Everyone who is either brave or quiet is either quiet or not calm.
Everyone w... | John is wise. | neutral | (![X]:((brave(X)|~rich(X))<=>(~brave(X)&humble(X))))&
(![X]:((tall(X)|~curious(X))=>old(X)))&
((~curious(paul))=>(?[X]:(~strong(X))))&
(![X]:(generous(X)<=>(quiet(X)<~>~wise(X))))&
(![X]:((brave(X)<~>quiet(X))=>(quiet(X)<~>~calm(X))))&
(![X]:((~creative(X)|old(X))=>(generous(X)&creative(X))))&
((?[X]:((curious(X)&rich(... | wise(john) | [] | null | 0 |
Everyone who is both not calm and creative is either not quiet or not tall and vice versa. If someone is not curious or not generous then john is not tall or not quiet and vice versa. Everyone who is either not kind or not funny is curious or wise and vice versa. If someone is not creative then someone is both kind and... | John is tall. | entailment | (![X]:((~calm(X)&creative(X))<=>(~quiet(X)<~>~tall(X))))&
((?[X]:((~curious(X)|~generous(X))))<=>((~tall(john)|~quiet(john))))&
(![X]:((~kind(X)<~>~funny(X))<=>(curious(X)|wise(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((kind(X)&wise(X)))))&
(((~kind(fred)&~rich(fred)))<=>(?[X]:(~curious(X))))&
(![X]:((rich(X)|~wise(X))<=>... | tall(john) | [
"p0",
"p4",
"p6",
"p7",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6408114623481558794421316
% SZS output start Proof for 6408114623481558794421316
1. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~quiet(X0) <~> ~tall(X0))) [input p0]
5. (~rich(fred) & ~kind(fred)) <=> ? [X0] : ~curious(X0) [input p4]
7. ! [X0] : ((old(X0) | ~creative(X0)) => (~kind(X0) & wi... | 0 |
Everyone who is strong is both patient and not creative. If someone is both not funny and not patient then alice is rich or not quiet and vice versa. If someone is not calm or not tall then mary is both brave and tall. If susan is either rich or brave then lucy is humble or not brave and vice versa. Everyone who is eit... | Mary is brave. | entailment | (![X]:(strong(X)=>(patient(X)&~creative(X))))&
((?[X]:((~funny(X)&~patient(X))))<=>((rich(alice)|~quiet(alice))))&
((?[X]:((~calm(X)|~tall(X))))=>((brave(mary)&tall(mary))))&
(((rich(susan)<~>brave(susan)))<=>((humble(lucy)|~brave(lucy))))&
(![X]:((rich(X)<~>~tall(X))<=>(~strong(X)|~brave(X))))&
((?[X]:(~creative(X)))<... | brave(mary) | [
"p2",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1590461584229672631279136
% SZS output start Proof for 1590461584229672631279136
3. ? [X0] : (~tall(X0) | ~calm(X0)) => (tall(mary) & brave(mary)) [input p2]
22. ~tall(john) [input p21]
25. ~brave(mary) [input hypothesis]
30. (tall(mary) & brave(mary)) | ! [X0] : (tall(X0) & calm(X0)) [en... | 0 |
Everyone who is not old is either kind or humble and vice versa.
Everyone who is either not tall or rich is not wise or humble and vice versa.
Everyone who is creative or calm is funny.
Everyone who is brave or not strong is either not patient or kind.
If john is not tall or strong then alice is both wise and brave.
Ev... | Alice is wise. | entailment | (![X]:(~old(X)<=>(kind(X)<~>humble(X))))&
(![X]:((~tall(X)<~>rich(X))<=>(~wise(X)|humble(X))))&
(![X]:((creative(X)|calm(X))=>funny(X)))&
(![X]:((brave(X)|~strong(X))=>(~patient(X)<~>kind(X))))&
(((~tall(john)|strong(john)))=>((wise(alice)&brave(alice))))&
(![X]:((~funny(X)&patient(X))=>(quiet(X)&kind(X))))&
((?[X]:((~... | wise(alice) | [
"p1",
"p4",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4178213725119127969206600
% SZS output start Proof for 4178213725119127969206600
2. ! [X0] : ((~tall(X0) <~> rich(X0)) <=> (humble(X0) | ~wise(X0))) [input p1]
5. (strong(john) | ~tall(john)) => (brave(alice) & wise(alice)) [input p4]
10. ! [X0] : ((tall(X0) | ~funny(X0)) <=> ~rich(X0)) [... | 0 |
If someone is both curious and not old then john is either brave or old.
Everyone who is quiet is both not generous and not patient.
If mary is strong then susan is not curious or quiet and vice versa.
Everyone who is not kind is calm.
If john is both brave and not quiet then lucy is not curious.
Everyone who is not ol... | Susan is curious. | neutral | ((?[X]:((curious(X)&~old(X))))=>((brave(john)<~>old(john))))&
(![X]:(quiet(X)=>(~generous(X)&~patient(X))))&
((strong(mary))<=>((~curious(susan)|quiet(susan))))&
(![X]:(~kind(X)=>calm(X)))&
(((brave(john)&~quiet(john)))=>(~curious(lucy)))&
(![X]:((~old(X)|humble(X))<=>~generous(X)))&
(![X]:((~strong(X)&kind(X))=>calm(X... | curious(susan) | [] | null | 0 |
Everyone who is funny is not creative or not kind and vice versa.
Everyone who is either strong or not wise is both not patient and old and vice versa.
If mary is both generous and not brave then paul is not calm or not tall and vice versa.
Everyone who is both not funny and creative is either patient or old.
If fred i... | Fred is not generous. | neutral | (![X]:(funny(X)<=>(~creative(X)|~kind(X))))&
(![X]:((strong(X)<~>~wise(X))<=>(~patient(X)&old(X))))&
(((generous(mary)&~brave(mary)))<=>((~calm(paul)|~tall(paul))))&
(![X]:((~funny(X)&creative(X))=>(patient(X)<~>old(X))))&
((quiet(fred))<=>(~happy(john)))&
(![X]:((~calm(X)<~>wise(X))=>tall(X)))&
(![X]:((~generous(X)<~>... | ~generous(fred) | [] | null | 0 |
If someone is either wise or creative then paul is both not humble and rich.
Everyone who is either quiet or not tall is both kind and humble and vice versa.
Everyone who is both humble and not funny is both wise and not rich.
Everyone who is rich is both not strong and not quiet and vice versa.
Everyone who is not ric... | Paul is humble. | contradiction | ((?[X]:((wise(X)<~>creative(X))))=>((~humble(paul)&rich(paul))))&
(![X]:((quiet(X)<~>~tall(X))<=>(kind(X)&humble(X))))&
(![X]:((humble(X)&~funny(X))=>(wise(X)&~rich(X))))&
(![X]:(rich(X)<=>(~strong(X)&~quiet(X))))&
(![X]:((~rich(X)|~curious(X))=>(~old(X)|~patient(X))))&
((?[X]:((~kind(X)&~strong(X))))=>(~brave(mary)))&... | humble(paul) | [
"p1",
"p3",
"p4",
"p5",
"p8",
"p10",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7386761870892989030566408
% SZS output start Proof for 7386761870892989030566408
2. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> (humble(X0) & kind(X0))) [input p1]
4. ! [X0] : (rich(X0) <=> (~quiet(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | ~rich(X0)) => (~patient(X0) | ~old(... | 0 |
If alice is not creative then alice is not patient and vice versa.
Everyone who is tall is patient.
Everyone who is both not strong and not quiet is curious or not tall.
Everyone who is both not kind and not old is rich or not old and vice versa.
If someone is not happy then someone is both funny and strong and vice ve... | Paul is not rich. | entailment | ((~creative(alice))<=>(~patient(alice)))&
(![X]:(tall(X)=>patient(X)))&
(![X]:((~strong(X)&~quiet(X))=>(curious(X)|~tall(X))))&
(![X]:((~kind(X)&~old(X))<=>(rich(X)|~old(X))))&
((?[X]:(~happy(X)))<=>(?[X]:((funny(X)&strong(X)))))&
(![X]:((rich(X)&~old(X))=>(~funny(X)<~>brave(X))))&
(![X]:((kind(X)<~>~kind(X))<=>(brave(... | ~rich(paul) | [
"p3",
"p5",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2582075096148354256324766
% SZS output start Proof for 2582075096148354256324766
4. ! [X0] : ((~old(X0) & ~kind(X0)) <=> (~old(X0) | rich(X0))) [input p3]
6. ! [X0] : ((~old(X0) & rich(X0)) => (~funny(X0) <~> brave(X0))) [input p5]
15. ! [X0] : ((~patient(X0) <~> funny(X0)) <=> patient(X0... | 0 |
Everyone who is not humble is both not strong and not creative and vice versa.
If alice is not wise then susan is brave or not old and vice versa.
Everyone who is both not strong and not rich is either not tall or funny and vice versa.
If susan is not calm then alice is either not calm or not funny and vice versa.
Ever... | Alice is not old. | entailment | (![X]:(~humble(X)<=>(~strong(X)&~creative(X))))&
((~wise(alice))<=>((brave(susan)|~old(susan))))&
(![X]:((~strong(X)&~rich(X))<=>(~tall(X)<~>funny(X))))&
((~calm(susan))<=>((~calm(alice)<~>~funny(alice))))&
(![X]:((tall(X)|brave(X))<=>~wise(X)))&
((?[X]:(~calm(X)))=>(?[X]:((~tall(X)|~rich(X)))))&
(((wise(alice)<~>~brav... | ~old(alice) | [
"p8",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5363165653276727245153889
% SZS output start Proof for 5363165653276727245153889
9. ! [X0] : (patient(X0) <=> (~old(X0) | tall(X0))) [input p8]
11. ! [X0] : (~funny(X0) <=> (~old(X0) <~> patient(X0))) [input p10]
13. ! [X0] : ((curious(X0) <~> ~quiet(X0)) => (~rich(X0) & ~patient(X0))) [i... | 0 |
Everyone who is funny or not brave is both curious and brave and vice versa.
If someone is curious or not calm then someone is curious and vice versa.
Everyone who is kind is not happy and vice versa.
If someone is brave or not quiet then someone is either patient or not strong and vice versa.
Everyone who is both not ... | Lucy is funny. | neutral | (![X]:((funny(X)|~brave(X))<=>(curious(X)&brave(X))))&
((?[X]:((curious(X)|~calm(X))))<=>(?[X]:(curious(X))))&
(![X]:(kind(X)<=>~happy(X)))&
((?[X]:((brave(X)|~quiet(X))))<=>(?[X]:((patient(X)<~>~strong(X)))))&
(![X]:((~wise(X)&strong(X))=>(~creative(X)&~tall(X))))&
((~curious(alice))<=>(~calm(fred)))&
(![X]:((rich(X)<... | funny(lucy) | [] | null | 0 |
If fred is not humble then someone is not old or not kind and vice versa. Everyone who is tall or not patient is either not brave or quiet. Everyone who is generous is not old and vice versa. Everyone who is not kind is not funny or not old. Everyone who is both generous and old is both not calm and kind. Everyone who ... | John is not kind. | neutral | ((~humble(fred))<=>(?[X]:((~old(X)|~kind(X)))))&
(![X]:((tall(X)|~patient(X))=>(~brave(X)<~>quiet(X))))&
(![X]:(generous(X)<=>~old(X)))&
(![X]:(~kind(X)=>(~funny(X)|~old(X))))&
(![X]:((generous(X)&old(X))=>(~calm(X)&kind(X))))&
(![X]:(~patient(X)<=>brave(X)))&
(![X]:(brave(X)<=>(~strong(X)&~happy(X))))&
((?[X]:((~creat... | ~kind(john) | [] | null | 0 |
Everyone who is happy or brave is both funny and creative and vice versa.
Everyone who is both kind and humble is both kind and brave.
Everyone who is either not patient or old is either not rich or tall and vice versa.
Everyone who is not happy or calm is strong or not curious.
Everyone who is both not humble and old ... | Mary is wise. | entailment | (![X]:((happy(X)|brave(X))<=>(funny(X)&creative(X))))&
(![X]:((kind(X)&humble(X))=>(kind(X)&brave(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~rich(X)<~>tall(X))))&
(![X]:((~happy(X)|calm(X))=>(strong(X)|~curious(X))))&
(![X]:((~humble(X)&old(X))<=>~brave(X)))&
(![X]:((curious(X)<~>~curious(X))=>~happy(X)))&
((curious(john... | wise(mary) | [
"p0",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3105025949830615508470496
% SZS output start Proof for 3105025949830615508470496
1. ! [X0] : ((brave(X0) | happy(X0)) <=> (creative(X0) & funny(X0))) [input p0]
6. ! [X0] : ((curious(X0) <~> ~curious(X0)) => ~happy(X0)) [input p5]
9. ? [X0] : ~wise(X0) => ? [X0] : (~creative(X0) & wise(X0... | 0 |
If someone is either creative or not kind then mary is both creative and strong.
Everyone who is both wise and not old is both not quiet and wise and vice versa.
Everyone who is both humble and quiet is calm.
If lucy is not quiet or not creative then mary is both not patient and quiet.
Everyone who is not wise is not k... | John is not brave. | contradiction | ((?[X]:((creative(X)<~>~kind(X))))=>((creative(mary)&strong(mary))))&
(![X]:((wise(X)&~old(X))<=>(~quiet(X)&wise(X))))&
(![X]:((humble(X)&quiet(X))=>calm(X)))&
(((~quiet(lucy)|~creative(lucy)))=>((~patient(mary)&quiet(mary))))&
(![X]:(~wise(X)<=>~kind(X)))&
(![X]:((tall(X)<~>~curious(X))=>(calm(X)|~patient(X))))&
((hap... | ~brave(john) | [
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5259830828879449737987081
% SZS output start Proof for 5259830828879449737987081
10. ! [X0] : ((~patient(X0) & wise(X0)) <=> (strong(X0) | ~funny(X0))) [input p9]
13. ! [X0] : (patient(X0) <=> strong(X0)) [input p12]
15. ! [X0] : ((patient(X0) & ~creative(X0)) <=> ~brave(X0)) [input p14]
... | 0 |
Everyone who is not rich or not strong is both not creative and curious and vice versa.
If fred is both not funny and not wise then someone is curious and vice versa.
Everyone who is both curious and brave is not creative or not brave.
Everyone who is curious or not strong is kind or curious and vice versa.
If someone ... | Susan is not funny. | contradiction | (![X]:((~rich(X)|~strong(X))<=>(~creative(X)&curious(X))))&
(((~funny(fred)&~wise(fred)))<=>(?[X]:(curious(X))))&
(![X]:((curious(X)&brave(X))=>(~creative(X)|~brave(X))))&
(![X]:((curious(X)|~strong(X))<=>(kind(X)|curious(X))))&
((?[X]:((rich(X)<~>quiet(X))))=>(?[X]:((wise(X)&~curious(X)))))&
(((strong(paul)|patient(pa... | ~funny(susan) | [
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 661418040969903588652898
% SZS output start Proof for 661418040969903588652898
10. ! [X0] : ((~generous(X0) | ~funny(X0)) => (wise(X0) & ~quiet(X0))) [input p9]
21. quiet(susan) & creative(susan) [input p20]
25. ~funny(susan) [input hypothesis]
35. ! [X0] : ((wise(X0) & ~quiet(X0)) | (gen... | 0 |
If paul is not brave or not patient then someone is either wise or happy.
Everyone who is either not patient or creative is not funny and vice versa.
Everyone who is calm or not funny is either strong or not rich.
If someone is either not funny or not curious then someone is not creative and vice versa.
Everyone who is... | Paul is not calm. | neutral | (((~brave(paul)|~patient(paul)))=>(?[X]:((wise(X)<~>happy(X)))))&
(![X]:((~patient(X)<~>creative(X))<=>~funny(X)))&
(![X]:((calm(X)|~funny(X))=>(strong(X)<~>~rich(X))))&
((?[X]:((~funny(X)<~>~curious(X))))<=>(?[X]:(~creative(X))))&
(![X]:((old(X)|~brave(X))<=>brave(X)))&
((?[X]:(~old(X)))<=>((~patient(fred)&creative(fr... | ~calm(paul) | [] | null | 0 |
Everyone who is either strong or not strong is either generous or creative and vice versa.
If paul is brave or not quiet then someone is both not old and not calm and vice versa.
If alice is kind then someone is both kind and calm and vice versa.
If alice is wise then lucy is not happy or not patient.
If someone is ric... | Alice is not creative. | neutral | (![X]:((strong(X)<~>~strong(X))<=>(generous(X)<~>creative(X))))&
(((brave(paul)|~quiet(paul)))<=>(?[X]:((~old(X)&~calm(X)))))&
((kind(alice))<=>(?[X]:((kind(X)&calm(X)))))&
((wise(alice))=>((~happy(lucy)|~patient(lucy))))&
((?[X]:(rich(X)))<=>(?[X]:((~quiet(X)&~generous(X)))))&
(![X]:(~old(X)<=>(creative(X)&~tall(X))))... | ~creative(alice) | [] | null | 0 |
Everyone who is not strong is brave and vice versa.
If paul is either not wise or not kind then john is not creative or not calm.
Everyone who is not generous is either generous or creative and vice versa.
Everyone who is strong is either not rich or not kind and vice versa.
If someone is either funny or kind then some... | John is not patient. | neutral | (![X]:(~strong(X)<=>brave(X)))&
(((~wise(paul)<~>~kind(paul)))=>((~creative(john)|~calm(john))))&
(![X]:(~generous(X)<=>(generous(X)<~>creative(X))))&
(![X]:(strong(X)<=>(~rich(X)<~>~kind(X))))&
((?[X]:((funny(X)<~>kind(X))))<=>(?[X]:((~kind(X)<~>patient(X)))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)<~>strong(X)))... | ~patient(john) | [] | null | 0 |
If someone is not strong then susan is not curious or old and vice versa.
If fred is both not wise and kind then fred is either quiet or funny.
If susan is both creative and not creative then someone is not old.
If mary is both not brave and not strong then paul is either not old or generous.
If someone is not generous... | Fred is generous. | contradiction | ((?[X]:(~strong(X)))<=>((~curious(susan)|old(susan))))&
(((~wise(fred)&kind(fred)))=>((quiet(fred)<~>funny(fred))))&
(((creative(susan)&~creative(susan)))=>(?[X]:(~old(X))))&
(((~brave(mary)&~strong(mary)))=>((~old(paul)<~>generous(paul))))&
((?[X]:((~generous(X)|kind(X))))<=>((~brave(paul)<~>~generous(paul))))&
(![X]:... | generous(fred) | [
"p6",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3064872899913931093457686
% SZS output start Proof for 3064872899913931093457686
7. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> ~wise(X0)) [input p6]
9. ! [X0] : ((strong(X0) | quiet(X0)) => (~strong(X0) & ~wise(X0))) [input p8]
15. ! [X0] : (~wise(X0) => (~generous(X0) & ~funny(X0))) [input... | 0 |
Everyone who is either not creative or patient is generous or rich and vice versa.
Everyone who is both not generous and generous is quiet and vice versa.
If someone is both kind and not kind then john is not calm or patient.
Everyone who is brave is either rich or curious.
If susan is either wise or not strong then jo... | Fred is not calm. | entailment | (![X]:((~creative(X)<~>patient(X))<=>(generous(X)|rich(X))))&
(![X]:((~generous(X)&generous(X))<=>quiet(X)))&
((?[X]:((kind(X)&~kind(X))))=>((~calm(john)|patient(john))))&
(![X]:(brave(X)=>(rich(X)<~>curious(X))))&
(((wise(susan)<~>~strong(susan)))<=>((~quiet(john)<~>kind(john))))&
(![X]:((~wise(X)&~brave(X))<=>~humble... | ~calm(fred) | [
"p1",
"p5",
"p6",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 773695538699462174164264
% SZS output start Proof for 773695538699462174164264
2. ! [X0] : ((generous(X0) & ~generous(X0)) <=> quiet(X0)) [input p1]
6. ! [X0] : ((~brave(X0) & ~wise(X0)) <=> ~humble(X0)) [input p5]
7. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (strong(X0) & ~strong(X0))) [... | 0 |
Everyone who is not rich is both brave and not kind.
Everyone who is both not generous and wise is calm and vice versa.
Everyone who is either not calm or not tall is either humble or brave and vice versa.
Everyone who is either not rich or not generous is both not old and not rich.
If someone is either not quiet or no... | Paul is funny. | entailment | (![X]:(~rich(X)=>(brave(X)&~kind(X))))&
(![X]:((~generous(X)&wise(X))<=>calm(X)))&
(![X]:((~calm(X)<~>~tall(X))<=>(humble(X)<~>brave(X))))&
(![X]:((~rich(X)<~>~generous(X))=>(~old(X)&~rich(X))))&
((?[X]:((~quiet(X)<~>~humble(X))))<=>(?[X]:((~calm(X)&~funny(X)))))&
(![X]:((brave(X)<~>~rich(X))<=>~funny(X)))&
(![X]:(brav... | funny(paul) | [
"p0",
"p5",
"p6",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7299004417187907543395051
% SZS output start Proof for 7299004417187907543395051
1. ! [X0] : (~rich(X0) => (~kind(X0) & brave(X0))) [input p0]
6. ! [X0] : ((brave(X0) <~> ~rich(X0)) <=> ~funny(X0)) [input p5]
7. ! [X0] : (brave(X0) <=> (creative(X0) <~> rich(X0))) [input p6]
9. ! [X0] : (... | 0 |
If fred is not rich or calm then susan is either not quiet or not creative and vice versa.
Everyone who is both not funny and curious is either not generous or not wise and vice versa.
Everyone who is either rich or not humble is not old or tall and vice versa.
Everyone who is both strong and happy is not funny or humb... | Fred is humble. | neutral | (((~rich(fred)|calm(fred)))<=>((~quiet(susan)<~>~creative(susan))))&
(![X]:((~funny(X)&curious(X))<=>(~generous(X)<~>~wise(X))))&
(![X]:((rich(X)<~>~humble(X))<=>(~old(X)|tall(X))))&
(![X]:((strong(X)&happy(X))<=>(~funny(X)|humble(X))))&
(((brave(mary)<~>~brave(mary)))=>((~calm(john)|~quiet(john))))&
(![X]:((~funny(X)<... | humble(fred) | [] | null | 0 |
If someone is both not rich and calm then alice is either quiet or not kind and vice versa. If john is either not happy or quiet then someone is both curious and happy and vice versa. Everyone who is either happy or tall is both curious and not creative and vice versa. Everyone who is either not wise or not strong is b... | Alice is not rich. | neutral | ((?[X]:((~rich(X)&calm(X))))<=>((quiet(alice)<~>~kind(alice))))&
(((~happy(john)<~>quiet(john)))<=>(?[X]:((curious(X)&happy(X)))))&
(![X]:((happy(X)<~>tall(X))<=>(curious(X)&~creative(X))))&
(![X]:((~wise(X)<~>~strong(X))=>(humble(X)&calm(X))))&
(![X]:((~old(X)<~>~creative(X))=>(~humble(X)&quiet(X))))&
(![X]:(brave(X)<... | ~rich(alice) | [] | null | 0 |
Everyone who is strong or not patient is rich or not calm and vice versa.
Everyone who is not brave or not humble is both not tall and humble.
If fred is not kind then lucy is both not tall and generous and vice versa.
Everyone who is not generous is curious.
Everyone who is either not funny or kind is either patient o... | Susan is not old. | entailment | (![X]:((strong(X)|~patient(X))<=>(rich(X)|~calm(X))))&
(![X]:((~brave(X)|~humble(X))=>(~tall(X)&humble(X))))&
((~kind(fred))<=>((~tall(lucy)&generous(lucy))))&
(![X]:(~generous(X)=>curious(X)))&
(![X]:((~funny(X)<~>kind(X))=>(patient(X)<~>kind(X))))&
(![X]:((~strong(X)<~>humble(X))=>(~wise(X)&~patient(X))))&
(![X]:(old... | ~old(susan) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6570517074084411633968038
% SZS output start Proof for 6570517074084411633968038
2. ! [X0] : ((~humble(X0) | ~brave(X0)) => (humble(X0) & ~tall(X0))) [input p1]
4. ! [X0] : (~generous(X0) => curious(X0)) [input p3]
5. ! [X0] : ((~funny(X0) <~> kind(X0)) => (patient(X0) <~> kind(X0))) [inp... | 0 |
If alice is both not creative and not humble then fred is not tall and vice versa.
If john is both not brave and creative then someone is not patient or humble.
If someone is creative then someone is both old and rich.
If someone is either quiet or strong then someone is calm or happy and vice versa.
If paul is not hum... | John is rich. | contradiction | (((~creative(alice)&~humble(alice)))<=>(~tall(fred)))&
(((~brave(john)&creative(john)))=>(?[X]:((~patient(X)|humble(X)))))&
((?[X]:(creative(X)))=>(?[X]:((old(X)&rich(X)))))&
((?[X]:((quiet(X)<~>strong(X))))<=>(?[X]:((calm(X)|happy(X)))))&
((~humble(paul))<=>(~brave(paul)))&
(![X]:((humble(X)|strong(X))<=>(curious(X)&~... | rich(john) | [
"p10",
"p15",
"p22",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4145023385772231556613230
% SZS output start Proof for 4145023385772231556613230
11. ! [X0] : ((tall(X0) & ~generous(X0)) <=> (rich(X0) <~> ~happy(X0))) [input p10]
16. ! [X0] : ((creative(X0) | tall(X0)) => (creative(X0) & patient(X0))) [input p15]
23. ~calm(john) & happy(john) [input p2... | 0 |
If someone is wise then someone is both generous and calm and vice versa.
If someone is both kind and not rich then someone is either not brave or not kind.
If someone is generous then someone is tall or not curious.
Everyone who is not funny or old is both brave and not kind.
Everyone who is both not creative and humb... | Lucy is not kind. | neutral | ((?[X]:(wise(X)))<=>(?[X]:((generous(X)&calm(X)))))&
((?[X]:((kind(X)&~rich(X))))=>(?[X]:((~brave(X)<~>~kind(X)))))&
((?[X]:(generous(X)))=>(?[X]:((tall(X)|~curious(X)))))&
(![X]:((~funny(X)|old(X))=>(brave(X)&~kind(X))))&
(![X]:((~creative(X)&humble(X))<=>~humble(X)))&
(![X]:((~rich(X)|rich(X))<=>(~old(X)|~kind(X))))&... | ~kind(lucy) | [] | null | 0 |
If alice is either old or not tall then someone is both patient and calm. Everyone who is either rich or not happy is both not rich and not old and vice versa. Everyone who is either creative or not tall is both strong and not old. If susan is both not funny and wise then john is either not happy or brave. Everyone who... | Fred is generous. | contradiction | (((old(alice)<~>~tall(alice)))=>(?[X]:((patient(X)&calm(X)))))&
(![X]:((rich(X)<~>~happy(X))<=>(~rich(X)&~old(X))))&
(![X]:((creative(X)<~>~tall(X))=>(strong(X)&~old(X))))&
(((~funny(susan)&wise(susan)))=>((~happy(john)<~>brave(john))))&
(![X]:((humble(X)&~strong(X))<=>(~old(X)<~>~creative(X))))&
(![X]:((brave(X)<~>~ta... | generous(fred) | [
"p1",
"p4",
"p5",
"p9",
"p11",
"p13",
"p14",
"p15",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7453073670672010546831542
% SZS output start Proof for 7453073670672010546831542
2. ! [X0] : ((rich(X0) <~> ~happy(X0)) <=> (~old(X0) & ~rich(X0))) [input p1]
5. ! [X0] : ((~strong(X0) & humble(X0)) <=> (~old(X0) <~> ~creative(X0))) [input p4]
6. ! [X0] : ((brave(X0) <~> ~tall(X0)) => (~h... | 0 |
Everyone who is brave is either happy or not humble. Everyone who is both not calm and creative is both not patient and not calm and vice versa. Everyone who is not calm or brave is not quiet and vice versa. Everyone who is either not quiet or generous is either calm or patient. If john is both not tall and wise then j... | Alice is happy. | entailment | (![X]:(brave(X)=>(happy(X)<~>~humble(X))))&
(![X]:((~calm(X)&creative(X))<=>(~patient(X)&~calm(X))))&
(![X]:((~calm(X)|brave(X))<=>~quiet(X)))&
(![X]:((~quiet(X)<~>generous(X))=>(calm(X)<~>patient(X))))&
(((~tall(john)&wise(john)))=>((humble(john)&old(john))))&
(![X]:((~rich(X)<~>calm(X))=>(wise(X)|~happy(X))))&
(![X]:... | happy(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 832006255594711845032392
% SZS output start Proof for 832006255594711845032392
11. ! [X0] : ((~happy(X0) | ~strong(X0)) => (happy(X0) & ~rich(X0))) [input p10]
23. ~happy(alice) [input hypothesis]
24. ! [X0] : (~happy(X0) => (happy(X0) & ~rich(X0))) [pure predicate removal 11]
35. ! [X0] ... | 0 |
If someone is calm or humble then alice is calm.
If someone is not generous or not happy then someone is not strong.
Everyone who is both humble and not calm is happy or rich and vice versa.
Everyone who is curious is both not strong and quiet and vice versa.
Everyone who is not humble or calm is either creative or hap... | Alice is not wise. | neutral | ((?[X]:((calm(X)|humble(X))))=>(calm(alice)))&
((?[X]:((~generous(X)|~happy(X))))=>(?[X]:(~strong(X))))&
(![X]:((humble(X)&~calm(X))<=>(happy(X)|rich(X))))&
(![X]:(curious(X)<=>(~strong(X)&quiet(X))))&
(![X]:((~humble(X)|calm(X))<=>(creative(X)<~>happy(X))))&
(![X]:((calm(X)&~humble(X))<=>~rich(X)))&
((?[X]:((~funny(X)... | ~wise(alice) | [] | null | 0 |
Everyone who is both not wise and creative is not kind. If fred is funny or old then someone is both happy and kind and vice versa. Everyone who is not quiet or wise is either not curious or not tall and vice versa. Everyone who is not quiet or not patient is not patient or generous. Everyone who is happy or not patien... | Paul is not curious. | contradiction | (![X]:((~wise(X)&creative(X))=>~kind(X)))&
(((funny(fred)|old(fred)))<=>(?[X]:((happy(X)&kind(X)))))&
(![X]:((~quiet(X)|wise(X))<=>(~curious(X)<~>~tall(X))))&
(![X]:((~quiet(X)|~patient(X))=>(~patient(X)|generous(X))))&
(![X]:((happy(X)|~patient(X))<=>curious(X)))&
(![X]:(creative(X)=>(strong(X)&generous(X))))&
(![X]:(... | ~curious(paul) | [
"p4",
"p6",
"p7",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 190070859820429672189482
% SZS output start Proof for 190070859820429672189482
5. ! [X0] : ((~patient(X0) | happy(X0)) <=> curious(X0)) [input p4]
7. ! [X0] : ((funny(X0) | ~creative(X0)) => (~funny(X0) | kind(X0))) [input p6]
8. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> (creative(X0) | ~qui... | 0 |
Everyone who is either old or not quiet is both wise and not calm. Everyone who is not calm or not kind is rich and vice versa. If someone is both happy and funny then lucy is both not strong and rich. Everyone who is both generous and kind is not brave and vice versa. If mary is kind or wise then susan is either not c... | Susan is not creative. | neutral | (![X]:((old(X)<~>~quiet(X))=>(wise(X)&~calm(X))))&
(![X]:((~calm(X)|~kind(X))<=>rich(X)))&
((?[X]:((happy(X)&funny(X))))=>((~strong(lucy)&rich(lucy))))&
(![X]:((generous(X)&kind(X))<=>~brave(X)))&
(((kind(mary)|wise(mary)))<=>((~calm(susan)<~>humble(susan))))&
(![X]:((~old(X)&old(X))=>(quiet(X)&creative(X))))&
(((~calm... | ~creative(susan) | [] | null | 0 |
Everyone who is not funny is brave and vice versa. If someone is not kind or old then someone is creative. Everyone who is not creative is kind or funny. Everyone who is patient is curious. If someone is not creative then someone is patient. Everyone who is not creative is either not curious or not patient. If lucy is ... | Susan is not humble. | contradiction | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:(~creative(X)=>(kind(X)|funny(X))))&
(![X]:(patient(X)=>curious(X)))&
((?[X]:(~creative(X)))=>(?[X]:(patient(X))))&
(![X]:(~creative(X)=>(~curious(X)<~>~patient(X))))&
(((curious(lucy)<~>~funny(lucy)))=>(~quiet(susan)))&
(![X]:((~w... | ~humble(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7551858272399084567919640
% SZS output start Proof for 7551858272399084567919640
13. ! [X0] : ((curious(X0) & humble(X0)) <=> (~patient(X0) | ~humble(X0))) [input p12]
22. ~humble(susan) [input hypothesis]
50. ! [X0] : (((curious(X0) & humble(X0)) | (patient(X0) & humble(X0))) & ((~patien... | 0 |
Everyone who is either calm or tall is tall or not creative and vice versa. Everyone who is both happy and not kind is not old. If fred is quiet then alice is both funny and not wise. Everyone who is either not quiet or curious is humble and vice versa. Everyone who is funny is happy and vice versa. If lucy is either n... | Paul is not creative. | entailment | (![X]:((calm(X)<~>tall(X))<=>(tall(X)|~creative(X))))&
(![X]:((happy(X)&~kind(X))=>~old(X)))&
((quiet(fred))=>((funny(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>curious(X))<=>humble(X)))&
(![X]:(funny(X)<=>happy(X)))&
(((~old(lucy)<~>~calm(lucy)))=>((brave(alice)<~>~rich(alice))))&
(((~humble(susan)<~>~funny(susan)))<... | ~creative(paul) | [
"p0",
"p10",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6299260324208949666657226
% SZS output start Proof for 6299260324208949666657226
1. ! [X0] : ((calm(X0) <~> tall(X0)) <=> (~creative(X0) | tall(X0))) [input p0]
11. ! [X0] : ((~tall(X0) | ~brave(X0)) => (tall(X0) <~> ~happy(X0))) [input p10]
14. ! [X0] : ((creative(X0) <~> curious(X0)) <=... | 0 |
If someone is either quiet or not strong then someone is old or not wise and vice versa.
Everyone who is not happy is either not wise or not curious.
Everyone who is funny is both not old and humble and vice versa.
Everyone who is strong is either patient or not rich and vice versa.
Everyone who is either not old or no... | John is tall. | contradiction | ((?[X]:((quiet(X)<~>~strong(X))))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:(~happy(X)=>(~wise(X)<~>~curious(X))))&
(![X]:(funny(X)<=>(~old(X)&humble(X))))&
(![X]:(strong(X)<=>(patient(X)<~>~rich(X))))&
(![X]:((~old(X)<~>~funny(X))<=>(~rich(X)|wise(X))))&
((?[X]:((old(X)|rich(X))))=>((~generous(mary)|~kind(mary))))&
((creat... | tall(john) | [
"p2",
"p3",
"p7",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8605152111458037772672429
% SZS output start Proof for 8605152111458037772672429
3. ! [X0] : (funny(X0) <=> (humble(X0) & ~old(X0))) [input p2]
4. ! [X0] : (strong(X0) <=> (patient(X0) <~> ~rich(X0))) [input p3]
8. ! [X0] : ((~patient(X0) | strong(X0)) <=> (curious(X0) | ~rich(X0))) [inpu... | 0 |
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