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 fred is not strong or patient then alice is both curious and strong and vice versa. Everyone who is calm or not brave is both humble and not funny. Everyone who is both funny and not curious is wise and vice versa. If someone is either kind or not rich then susan is humble and vice versa. If alice is both kind and t... | John is not wise. | entailment | (((~strong(fred)|patient(fred)))<=>((curious(alice)&strong(alice))))&
(![X]:((calm(X)|~brave(X))=>(humble(X)&~funny(X))))&
(![X]:((funny(X)&~curious(X))<=>wise(X)))&
((?[X]:((kind(X)<~>~rich(X))))<=>(humble(susan)))&
(((kind(alice)&tall(alice)))<=>(?[X]:((funny(X)<~>~strong(X)))))&
(![X]:((~creative(X)&funny(X))<=>(hap... | ~wise(john) | [
"p1",
"p2",
"p8",
"p9",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6632696136454386142599267
% SZS output start Proof for 6632696136454386142599267
2. ! [X0] : ((~brave(X0) | calm(X0)) => (~funny(X0) & humble(X0))) [input p1]
3. ! [X0] : ((~curious(X0) & funny(X0)) <=> wise(X0)) [input p2]
9. ! [X0] : ((~wise(X0) & funny(X0)) <=> (rich(X0) <~> tall(X0)))... | 0 |
Everyone who is kind or not patient is both not brave and not rich and vice versa.
Everyone who is both rich and not strong is old and vice versa.
Everyone who is both not brave and funny is kind or curious and vice versa.
If someone is brave then mary is both old and patient.
Everyone who is not happy is either funny ... | Mary is not quiet. | neutral | (![X]:((kind(X)|~patient(X))<=>(~brave(X)&~rich(X))))&
(![X]:((rich(X)&~strong(X))<=>old(X)))&
(![X]:((~brave(X)&funny(X))<=>(kind(X)|curious(X))))&
((?[X]:(brave(X)))=>((old(mary)&patient(mary))))&
(![X]:(~happy(X)<=>(funny(X)<~>~brave(X))))&
(![X]:((~creative(X)&~curious(X))=>(~patient(X)|~old(X))))&
(![X]:(strong(X)... | ~quiet(mary) | [] | null | 0 |
If someone is either not calm or wise then alice is both patient and creative and vice versa. If someone is both curious and tall then someone is both rich and not rich. Everyone who is not happy is quiet or not quiet and vice versa. Everyone who is not strong or rich is both not curious and not kind and vice versa. If... | Paul is generous. | contradiction | ((?[X]:((~calm(X)<~>wise(X))))<=>((patient(alice)&creative(alice))))&
((?[X]:((curious(X)&tall(X))))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:(~happy(X)<=>(quiet(X)|~quiet(X))))&
(![X]:((~strong(X)|rich(X))<=>(~curious(X)&~kind(X))))&
(((wise(susan)&kind(susan)))=>((~strong(susan)|curious(susan))))&
(![X]:((~wise(X)|~quiet... | generous(paul) | [
"p3",
"p7",
"p10",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7278906861841845040147172
% SZS output start Proof for 7278906861841845040147172
4. ! [X0] : ((rich(X0) | ~strong(X0)) <=> (~kind(X0) & ~curious(X0))) [input p3]
8. ? [X0] : (~tall(X0) <~> ~kind(X0)) <=> ? [X0] : (~wise(X0) <~> strong(X0)) [input p7]
11. ! [X0] : ((~brave(X0) <~> ~tall(X0... | 0 |
Everyone who is either not calm or quiet is both not happy and calm.
Everyone who is both patient and old is both curious and calm.
Everyone who is not brave or quiet is not strong and vice versa.
If fred is either not quiet or not kind then susan is either kind or not humble and vice versa.
If john is not happy then s... | Susan is patient. | contradiction | (![X]:((~calm(X)<~>quiet(X))=>(~happy(X)&calm(X))))&
(![X]:((patient(X)&old(X))=>(curious(X)&calm(X))))&
(![X]:((~brave(X)|quiet(X))<=>~strong(X)))&
(((~quiet(fred)<~>~kind(fred)))<=>((kind(susan)<~>~humble(susan))))&
((~happy(john))=>(?[X]:((~happy(X)&rich(X)))))&
(![X]:((~tall(X)&quiet(X))=>(rich(X)&~curious(X))))&
(... | patient(susan) | [
"p1",
"p8",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1665556959122034728886000
% SZS output start Proof for 1665556959122034728886000
2. ! [X0] : ((old(X0) & patient(X0)) => (calm(X0) & curious(X0))) [input p1]
9. (~calm(susan) & ~tall(susan)) <=> ? [X0] : calm(X0) [input p8]
13. ! [X0] : (rich(X0) <=> (~quiet(X0) | ~old(X0))) [input p12]
1... | 0 |
Everyone who is either not humble or old is strong or calm and vice versa.
Everyone who is not strong or curious is both not tall and not brave and vice versa.
Everyone who is both not tall and creative is either not patient or not funny and vice versa.
Everyone who is both funny and not creative is either not old or q... | Paul is not quiet. | contradiction | (![X]:((~humble(X)<~>old(X))<=>(strong(X)|calm(X))))&
(![X]:((~strong(X)|curious(X))<=>(~tall(X)&~brave(X))))&
(![X]:((~tall(X)&creative(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((funny(X)&~creative(X))<=>(~old(X)<~>quiet(X))))&
(((~rich(mary)|humble(mary)))<=>(?[X]:((~old(X)&tall(X)))))&
((?[X]:(kind(X)))=>(creative(p... | ~quiet(paul) | [
"p0",
"p1",
"p3",
"p5",
"p9",
"p10",
"p11",
"p12",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3960419319559562761718668
% SZS output start Proof for 3960419319559562761718668
1. ! [X0] : ((~humble(X0) <~> old(X0)) <=> (calm(X0) | strong(X0))) [input p0]
2. ! [X0] : ((curious(X0) | ~strong(X0)) <=> (~brave(X0) & ~tall(X0))) [input p1]
4. ! [X0] : ((~creative(X0) & funny(X0)) <=> (~... | 0 |
Everyone who is not generous or not humble is either not funny or humble.
If someone is happy or not old then someone is wise or not creative and vice versa.
Everyone who is old is both not rich and not curious and vice versa.
Everyone who is both strong and not patient is not rich or not tall and vice versa.
Everyone ... | Lucy is curious. | entailment | (![X]:((~generous(X)|~humble(X))=>(~funny(X)<~>humble(X))))&
((?[X]:((happy(X)|~old(X))))<=>(?[X]:((wise(X)|~creative(X)))))&
(![X]:(old(X)<=>(~rich(X)&~curious(X))))&
(![X]:((strong(X)&~patient(X))<=>(~rich(X)|~tall(X))))&
(![X]:((~wise(X)<~>tall(X))<=>(~happy(X)&generous(X))))&
((?[X]:((calm(X)<~>~kind(X))))=>((~brav... | curious(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 769510593366047079817208
% SZS output start Proof for 769510593366047079817208
12. ! [X0] : ((curious(X0) & ~wise(X0)) <=> (~creative(X0) <~> creative(X0))) [input p11]
23. ~curious(lucy) [input hypothesis]
62. ! [X0] : (((curious(X0) & ~wise(X0)) | ((~creative(X0) | ~creative(X0)) & (cre... | 0 |
Everyone who is either funny or calm is creative and vice versa.
If someone is either brave or patient then someone is both patient and not humble.
If mary is kind then someone is either not brave or not quiet and vice versa.
Everyone who is not humble or curious is not wise or creative and vice versa.
Everyone who is ... | Mary is not patient. | contradiction | (![X]:((funny(X)<~>calm(X))<=>creative(X)))&
((?[X]:((brave(X)<~>patient(X))))=>(?[X]:((patient(X)&~humble(X)))))&
((kind(mary))<=>(?[X]:((~brave(X)<~>~quiet(X)))))&
(![X]:((~humble(X)|curious(X))<=>(~wise(X)|creative(X))))&
(![X]:(~happy(X)=>(curious(X)|~brave(X))))&
(![X]:((~funny(X)|~wise(X))=>(~rich(X)|~funny(X))))... | ~patient(mary) | [
"p0",
"p3",
"p6",
"p7",
"p8",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5749232736184218507613313
% SZS output start Proof for 5749232736184218507613313
1. ! [X0] : ((funny(X0) <~> calm(X0)) <=> creative(X0)) [input p0]
4. ! [X0] : ((curious(X0) | ~humble(X0)) <=> (creative(X0) | ~wise(X0))) [input p3]
7. ! [X0] : ((humble(X0) & ~quiet(X0)) <=> (strong(X0) & ... | 0 |
If alice is either not old or curious then someone is either not curious or humble and vice versa.
If lucy is either not calm or old then someone is both curious and calm.
If susan is both curious and not patient then someone is wise.
If someone is patient or not tall then someone is either not strong or not kind and v... | Lucy is not generous. | contradiction | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>humble(X)))))&
(((~calm(lucy)<~>old(lucy)))=>(?[X]:((curious(X)&calm(X)))))&
(((curious(susan)&~patient(susan)))=>(?[X]:(wise(X))))&
((?[X]:((patient(X)|~tall(X))))<=>(?[X]:((~strong(X)<~>~kind(X)))))&
(![X]:((~generous(X)|~humble(X))=>(~kind(X)|~creative(X))))&... | ~generous(lucy) | [
"p7",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8660874801874782065544962
% SZS output start Proof for 8660874801874782065544962
8. ! [X0] : ((~humble(X0) | old(X0)) <=> ~curious(X0)) [input p7]
10. ! [X0] : ((curious(X0) & rich(X0)) <=> ~generous(X0)) [input p9]
16. ! [X0] : ((happy(X0) <~> ~humble(X0)) <=> ~happy(X0)) [input p15]
24.... | 0 |
If someone is both quiet and not old then alice is both quiet and tall and vice versa.
Everyone who is both not patient and not strong is generous and vice versa.
If someone is calm or not curious then someone is not patient and vice versa.
If fred is generous then mary is not curious or strong.
Everyone who is rich is... | Paul is patient. | entailment | ((?[X]:((quiet(X)&~old(X))))<=>((quiet(alice)&tall(alice))))&
(![X]:((~patient(X)&~strong(X))<=>generous(X)))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:(~patient(X))))&
((generous(fred))=>((~curious(mary)|strong(mary))))&
(![X]:(rich(X)=>(funny(X)&happy(X))))&
((?[X]:((~quiet(X)|~creative(X))))=>(?[X]:((tall(X)<~>~old(X... | patient(paul) | [
"p1",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7208155652608825183783586
% SZS output start Proof for 7208155652608825183783586
2. ! [X0] : ((~strong(X0) & ~patient(X0)) <=> generous(X0)) [input p1]
11. ! [X0] : (old(X0) <=> (humble(X0) & patient(X0))) [input p10]
15. ? [X0] : (~patient(X0) | ~strong(X0)) => (old(john) & generous(john... | 0 |
If someone is both patient and quiet then someone is both not creative and not rich and vice versa.
If someone is either old or not creative then someone is either strong or not tall and vice versa.
Everyone who is either tall or not quiet is either humble or generous and vice versa.
Everyone who is both not humble and... | Mary is not creative. | neutral | ((?[X]:((patient(X)&quiet(X))))<=>(?[X]:((~creative(X)&~rich(X)))))&
((?[X]:((old(X)<~>~creative(X))))<=>(?[X]:((strong(X)<~>~tall(X)))))&
(![X]:((tall(X)<~>~quiet(X))<=>(humble(X)<~>generous(X))))&
(![X]:((~humble(X)&old(X))<=>(~quiet(X)&curious(X))))&
(![X]:(~brave(X)=>~happy(X)))&
(![X]:(curious(X)=>(~funny(X)&~old(... | ~creative(mary) | [] | null | 0 |
If john is not old or brave then susan is both not calm and humble.
Everyone who is old or calm is not wise and vice versa.
Everyone who is not patient is either creative or not calm.
If lucy is not happy then alice is not creative or not generous.
Everyone who is not curious is both not rich and funny and vice versa.
... | Fred is calm. | contradiction | (((~old(john)|brave(john)))=>((~calm(susan)&humble(susan))))&
(![X]:((old(X)|calm(X))<=>~wise(X)))&
(![X]:(~patient(X)=>(creative(X)<~>~calm(X))))&
((~happy(lucy))=>((~creative(alice)|~generous(alice))))&
(![X]:(~curious(X)<=>(~rich(X)&funny(X))))&
((~happy(mary))=>(?[X]:((~wise(X)|~rich(X)))))&
((?[X]:(~happy(X)))=>(?... | calm(fred) | [
"p4",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3745672150413294078812414
% SZS output start Proof for 3745672150413294078812414
5. ! [X0] : (~curious(X0) <=> (funny(X0) & ~rich(X0))) [input p4]
12. ! [X0] : ((~old(X0) | ~rich(X0)) => ~funny(X0)) [input p11]
14. ! [X0] : ((~calm(X0) & curious(X0)) <=> (curious(X0) | rich(X0))) [input p... | 0 |
If lucy is either not creative or not quiet then john is both tall and not strong. Everyone who is either old or quiet is not old or not kind. If someone is both not patient and strong then paul is quiet or funny and vice versa. Everyone who is either not tall or funny is not funny or not tall and vice versa. Everyone ... | Alice is not patient. | contradiction | (((~creative(lucy)<~>~quiet(lucy)))=>((tall(john)&~strong(john))))&
(![X]:((old(X)<~>quiet(X))=>(~old(X)|~kind(X))))&
((?[X]:((~patient(X)&strong(X))))<=>((quiet(paul)|funny(paul))))&
(![X]:((~tall(X)<~>funny(X))<=>(~funny(X)|~tall(X))))&
(![X]:((old(X)<~>~wise(X))<=>(kind(X)<~>~tall(X))))&
(![X]:((~happy(X)&old(X))=>(... | ~patient(alice) | [
"p3",
"p4",
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3533243955599546435601716
% SZS output start Proof for 3533243955599546435601716
4. ! [X0] : ((~tall(X0) <~> funny(X0)) <=> (~tall(X0) | ~funny(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> ~wise(X0)) <=> (kind(X0) <~> ~tall(X0))) [input p4]
8. ! [X0] : ((~wise(X0) <~> patient(X0)) => (patie... | 0 |
Everyone who is tall is not happy or creative.
If someone is either old or not wise then someone is tall and vice versa.
If mary is rich then someone is rich and vice versa.
If alice is creative then someone is either not funny or not happy.
Everyone who is not rich or not calm is either not creative or wise and vice v... | Alice is humble. | entailment | (![X]:(tall(X)=>(~happy(X)|creative(X))))&
((?[X]:((old(X)<~>~wise(X))))<=>(?[X]:(tall(X))))&
((rich(mary))<=>(?[X]:(rich(X))))&
((creative(alice))=>(?[X]:((~funny(X)<~>~happy(X)))))&
(![X]:((~rich(X)|~calm(X))<=>(~creative(X)<~>wise(X))))&
((?[X]:(happy(X)))<=>(?[X]:(~creative(X))))&
((?[X]:((~funny(X)<~>creative(X)))... | humble(alice) | [
"p9",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8327063306914339500190377
% SZS output start Proof for 8327063306914339500190377
10. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> happy(X0)) [input p9]
14. ! [X0] : ((~wise(X0) & strong(X0)) <=> (calm(X0) & ~happy(X0))) [input p13]
15. ! [X0] : ((~patient(X0) | ~wise(X0)) => (humble(X0) <~> ~str... | 0 |
Everyone who is patient is rich.
If susan is creative or humble then someone is tall and vice versa.
Everyone who is tall or funny is not tall.
If john is either humble or quiet then alice is strong and vice versa.
If someone is not strong or not patient then susan is old and vice versa.
Everyone who is either humble o... | Susan is not curious. | entailment | (![X]:(patient(X)=>rich(X)))&
(((creative(susan)|humble(susan)))<=>(?[X]:(tall(X))))&
(![X]:((tall(X)|funny(X))=>~tall(X)))&
(((humble(john)<~>quiet(john)))<=>(strong(alice)))&
((?[X]:((~strong(X)|~patient(X))))<=>(old(susan)))&
(![X]:((humble(X)<~>curious(X))=>tall(X)))&
((?[X]:(tall(X)))<=>(?[X]:((calm(X)&brave(X))))... | ~curious(susan) | [
"p1",
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 4969022978591395112407987
% SZS output start Proof for 4969022978591395112407987
2. (humble(susan) | creative(susan)) <=> ? [X0] : tall(X0) [input p1]
3. ! [X0] : ((funny(X0) | tall(X0)) => ~tall(X0)) [input p2]
6. ! [X0] : ((humble(X0) <~> curious(X0)) => tall(X0)) [input p5]
25. curious... | 0 |
If someone is not strong or tall then someone is not wise or curious.
Everyone who is either not wise or patient is strong and vice versa.
If someone is not tall then alice is either creative or not old and vice versa.
If someone is not creative then susan is both not kind and rich.
If someone is not tall or not curiou... | Fred is quiet. | entailment | ((?[X]:((~strong(X)|tall(X))))=>(?[X]:((~wise(X)|curious(X)))))&
(![X]:((~wise(X)<~>patient(X))<=>strong(X)))&
((?[X]:(~tall(X)))<=>((creative(alice)<~>~old(alice))))&
((?[X]:(~creative(X)))=>((~kind(susan)&rich(susan))))&
((?[X]:((~tall(X)|~curious(X))))=>(?[X]:((~kind(X)|funny(X)))))&
((?[X]:((~generous(X)|happy(X)))... | quiet(fred) | [
"p1",
"p6",
"p7",
"p8",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2831713165395323253805111
% SZS output start Proof for 2831713165395323253805111
2. ! [X0] : ((~wise(X0) <~> patient(X0)) <=> strong(X0)) [input p1]
7. ! [X0] : ((calm(X0) | strong(X0)) => (old(X0) & happy(X0))) [input p6]
8. ! [X0] : (old(X0) <=> strong(X0)) [input p7]
9. ! [X0] : ((~cur... | 0 |
Everyone who is funny is either not brave or not old and vice versa.
If mary is not wise then john is not kind and vice versa.
If john is both quiet and happy then fred is either wise or generous and vice versa.
Everyone who is both not humble and not generous is both not kind and not patient and vice versa.
Everyone w... | John is kind. | neutral | (![X]:(funny(X)<=>(~brave(X)<~>~old(X))))&
((~wise(mary))<=>(~kind(john)))&
(((quiet(john)&happy(john)))<=>((wise(fred)<~>generous(fred))))&
(![X]:((~humble(X)&~generous(X))<=>(~kind(X)&~patient(X))))&
(![X]:(tall(X)=>(~humble(X)&humble(X))))&
((?[X]:((~strong(X)&strong(X))))<=>((~creative(lucy)<~>funny(lucy))))&
(![X]... | kind(john) | [] | null | 0 |
Everyone who is both not wise and quiet is not calm and vice versa.
Everyone who is either quiet or not funny is both rich and not patient and vice versa.
Everyone who is not old or patient is both rich and happy and vice versa.
If someone is not old then alice is both wise and kind.
If someone is both not old and kind... | Alice is generous. | entailment | (![X]:((~wise(X)&quiet(X))<=>~calm(X)))&
(![X]:((quiet(X)<~>~funny(X))<=>(rich(X)&~patient(X))))&
(![X]:((~old(X)|patient(X))<=>(rich(X)&happy(X))))&
((?[X]:(~old(X)))=>((wise(alice)&kind(alice))))&
((?[X]:((~old(X)&kind(X))))=>(?[X]:((~curious(X)&~rich(X)))))&
(![X]:((generous(X)<~>~kind(X))<=>(~tall(X)&brave(X))))&
(... | generous(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 409834169139251310314815
% SZS output start Proof for 409834169139251310314815
16. ! [X0] : ((~rich(X0) | ~generous(X0)) => generous(X0)) [input p15]
25. ~generous(alice) [input hypothesis]
33. ! [X0] : (generous(X0) | (rich(X0) & generous(X0))) [ennf transformation 16]
125. generous(X0) ... | 0 |
Everyone who is either old or not happy is quiet and vice versa.
Everyone who is not creative is either generous or not calm and vice versa.
Everyone who is not tall is both strong and old.
Everyone who is curious is either not calm or generous and vice versa.
If susan is not strong or funny then john is either quiet o... | Alice is patient. | contradiction | (![X]:((old(X)<~>~happy(X))<=>quiet(X)))&
(![X]:(~creative(X)<=>(generous(X)<~>~calm(X))))&
(![X]:(~tall(X)=>(strong(X)&old(X))))&
(![X]:(curious(X)<=>(~calm(X)<~>generous(X))))&
(((~strong(susan)|funny(susan)))=>((quiet(john)<~>~patient(john))))&
(![X]:((~funny(X)|curious(X))<=>kind(X)))&
((?[X]:(~brave(X)))<=>(?[X]:(... | patient(alice) | [
"p5",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8623909675702337644384217
% SZS output start Proof for 8623909675702337644384217
6. ! [X0] : ((curious(X0) | ~funny(X0)) <=> kind(X0)) [input p5]
11. ? [X0] : (patient(X0) | ~quiet(X0)) <=> ~kind(paul) [input p10]
19. ~old(paul) & curious(paul) [input p18]
24. patient(alice) [input hypoth... | 0 |
Everyone who is not calm or strong is both kind and old and vice versa.
Everyone who is not old is tall or not generous.
Everyone who is not rich is rich or not creative.
Everyone who is both not wise and funny is not quiet.
If someone is not quiet or brave then someone is not old and vice versa.
If paul is calm or not... | Alice is calm. | entailment | (![X]:((~calm(X)|strong(X))<=>(kind(X)&old(X))))&
(![X]:(~old(X)=>(tall(X)|~generous(X))))&
(![X]:(~rich(X)=>(rich(X)|~creative(X))))&
(![X]:((~wise(X)&funny(X))=>~quiet(X)))&
((?[X]:((~quiet(X)|brave(X))))<=>(?[X]:(~old(X))))&
(((calm(paul)|~strong(paul)))=>((~creative(alice)<~>patient(alice))))&
(![X]:((old(X)|~humbl... | calm(alice) | [
"p0",
"p2",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8584424954590190483122778
% SZS output start Proof for 8584424954590190483122778
1. ! [X0] : ((strong(X0) | ~calm(X0)) <=> (old(X0) & kind(X0))) [input p0]
3. ! [X0] : (~rich(X0) => (~creative(X0) | rich(X0))) [input p2]
7. ! [X0] : ((~humble(X0) | old(X0)) => (~rich(X0) | ~kind(X0))) [in... | 0 |
Everyone who is both generous and not old is either not creative or curious.
Everyone who is not patient or generous is not calm or not curious.
If someone is not tall or not happy then susan is both patient and quiet.
Everyone who is funny or patient is both calm and wise.
If someone is humble then someone is not pati... | John is creative. | entailment | (![X]:((generous(X)&~old(X))=>(~creative(X)<~>curious(X))))&
(![X]:((~patient(X)|generous(X))=>(~calm(X)|~curious(X))))&
((?[X]:((~tall(X)|~happy(X))))=>((patient(susan)&quiet(susan))))&
(![X]:((funny(X)|patient(X))=>(calm(X)&wise(X))))&
((?[X]:(humble(X)))=>(?[X]:(~patient(X))))&
(((curious(paul)|~funny(paul)))=>(?[X]... | creative(john) | [
"p3",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8619200601893245790376269
% SZS output start Proof for 8619200601893245790376269
4. ! [X0] : ((patient(X0) | funny(X0)) => (wise(X0) & calm(X0))) [input p3]
14. ! [X0] : ((~calm(X0) & ~strong(X0)) <=> (~creative(X0) | ~tall(X0))) [input p13]
15. ! [X0] : ((~funny(X0) | creative(X0)) <=> p... | 0 |
Everyone who is tall is either wise or not happy and vice versa.
If someone is either not curious or not calm then lucy is both not kind and not old.
Everyone who is both not curious and creative is not funny or patient and vice versa.
Everyone who is tall or not strong is either patient or not old and vice versa.
If s... | Fred is patient. | contradiction | (![X]:(tall(X)<=>(wise(X)<~>~happy(X))))&
((?[X]:((~curious(X)<~>~calm(X))))=>((~kind(lucy)&~old(lucy))))&
(![X]:((~curious(X)&creative(X))<=>(~funny(X)|patient(X))))&
(![X]:((tall(X)|~strong(X))<=>(patient(X)<~>~old(X))))&
((?[X]:((~rich(X)|~wise(X))))<=>(?[X]:((humble(X)|~kind(X)))))&
((~humble(fred))=>(?[X]:(calm(X)... | patient(fred) | [
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4977913470725500564946177
% SZS output start Proof for 4977913470725500564946177
12. ! [X0] : ((patient(X0) | ~generous(X0)) => ~tall(X0)) [input p11]
22. tall(fred) [input p21]
24. patient(fred) [input hypothesis]
33. ! [X0] : (~tall(X0) | (~patient(X0) & generous(X0))) [ennf transformat... | 0 |
Everyone who is both humble and brave is not patient or old and vice versa.
If someone is both tall and generous then someone is either humble or not funny and vice versa.
If mary is both funny and not patient then mary is both patient and not brave.
If someone is patient then alice is both not brave and kind and vice ... | Alice is not old. | neutral | (![X]:((humble(X)&brave(X))<=>(~patient(X)|old(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((humble(X)<~>~funny(X)))))&
(((funny(mary)&~patient(mary)))=>((patient(mary)&~brave(mary))))&
((?[X]:(patient(X)))<=>((~brave(alice)&kind(alice))))&
((~generous(susan))=>(?[X]:((~calm(X)<~>strong(X)))))&
(![X]:(~kind(X)<=>(~b... | ~old(alice) | [] | null | 0 |
Everyone who is not generous or kind is either not old or not kind.
Everyone who is not humble is not generous or not strong and vice versa.
If someone is either brave or old then lucy is both patient and kind and vice versa.
If john is not happy then someone is both generous and patient and vice versa.
If alice is cur... | Fred is not generous. | neutral | (![X]:((~generous(X)|kind(X))=>(~old(X)<~>~kind(X))))&
(![X]:(~humble(X)<=>(~generous(X)|~strong(X))))&
((?[X]:((brave(X)<~>old(X))))<=>((patient(lucy)&kind(lucy))))&
((~happy(john))<=>(?[X]:((generous(X)&patient(X)))))&
((curious(alice))=>(?[X]:((strong(X)|quiet(X)))))&
(![X]:((~quiet(X)<~>~calm(X))<=>(generous(X)&~pa... | ~generous(fred) | [] | null | 0 |
Everyone who is not wise is quiet or not happy.
Everyone who is not humble or not creative is both not old and kind.
If someone is not generous or not happy then fred is old or not humble.
Everyone who is humble or not old is either wise or calm.
If someone is not creative then someone is either not tall or rich and vi... | Alice is calm. | entailment | (![X]:(~wise(X)=>(quiet(X)|~happy(X))))&
(![X]:((~humble(X)|~creative(X))=>(~old(X)&kind(X))))&
((?[X]:((~generous(X)|~happy(X))))=>((old(fred)|~humble(fred))))&
(![X]:((humble(X)|~old(X))=>(wise(X)<~>calm(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~tall(X)<~>rich(X)))))&
(((~strong(lucy)<~>humble(lucy)))<=>(?[X]:((patien... | calm(alice) | [
"p1",
"p3",
"p4",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7083350658980781539941289
% SZS output start Proof for 7083350658980781539941289
2. ! [X0] : ((~creative(X0) | ~humble(X0)) => (kind(X0) & ~old(X0))) [input p1]
4. ! [X0] : ((~old(X0) | humble(X0)) => (wise(X0) <~> calm(X0))) [input p3]
5. ? [X0] : ~creative(X0) <=> ? [X0] : (~tall(X0) <~... | 0 |
Everyone who is tall is not happy or not funny and vice versa.
Everyone who is either not generous or not curious is both not happy and patient and vice versa.
Everyone who is either not creative or not generous is both humble and not quiet.
If someone is both quiet and creative then someone is either not tall or gener... | Alice is not patient. | contradiction | (![X]:(tall(X)<=>(~happy(X)|~funny(X))))&
(![X]:((~generous(X)<~>~curious(X))<=>(~happy(X)&patient(X))))&
(![X]:((~creative(X)<~>~generous(X))=>(humble(X)&~quiet(X))))&
((?[X]:((quiet(X)&creative(X))))<=>(?[X]:((~tall(X)<~>generous(X)))))&
(![X]:((~wise(X)|~old(X))=>(funny(X)<~>~patient(X))))&
((curious(susan))=>(?[X]:... | ~patient(alice) | [
"p0",
"p1",
"p4",
"p6",
"p9",
"p10",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 63407014193753859849133
% SZS output start Proof for 63407014193753859849133
1. ! [X0] : (tall(X0) <=> (~funny(X0) | ~happy(X0))) [input p0]
2. ! [X0] : ((~generous(X0) <~> ~curious(X0)) <=> (patient(X0) & ~happy(X0))) [input p1]
5. ! [X0] : ((~old(X0) | ~wise(X0)) => (funny(X0) <~> ~pati... | 0 |
If someone is not wise then paul is calm and vice versa.
If someone is either old or not calm then susan is both patient and not tall and vice versa.
If fred is both generous and brave then someone is both not brave and kind and vice versa.
Everyone who is not tall is happy or generous and vice versa.
Everyone who is s... | Lucy is calm. | neutral | ((?[X]:(~wise(X)))<=>(calm(paul)))&
((?[X]:((old(X)<~>~calm(X))))<=>((patient(susan)&~tall(susan))))&
(((generous(fred)&brave(fred)))<=>(?[X]:((~brave(X)&kind(X)))))&
(![X]:(~tall(X)<=>(happy(X)|generous(X))))&
(![X]:((strong(X)|~strong(X))=>funny(X)))&
((calm(lucy))=>((~strong(john)|~wise(john))))&
((?[X]:(~brave(X)))... | calm(lucy) | [] | null | 0 |
Everyone who is either not wise or not rich is either wise or not tall.
If mary is not patient then someone is not funny and vice versa.
Everyone who is both tall and not happy is not strong and vice versa.
If alice is either not quiet or kind then someone is both strong and tall and vice versa.
If someone is brave or ... | Fred is not creative. | entailment | (![X]:((~wise(X)<~>~rich(X))=>(wise(X)<~>~tall(X))))&
((~patient(mary))<=>(?[X]:(~funny(X))))&
(![X]:((tall(X)&~happy(X))<=>~strong(X)))&
(((~quiet(alice)<~>kind(alice)))<=>(?[X]:((strong(X)&tall(X)))))&
((?[X]:((brave(X)|~funny(X))))=>(?[X]:((generous(X)&happy(X)))))&
((?[X]:((~calm(X)&~quiet(X))))<=>(?[X]:(old(X))))&... | ~creative(fred) | [
"p2",
"p8",
"p18",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 7092453433280084356511314
% SZS output start Proof for 7092453433280084356511314
3. ! [X0] : ((~happy(X0) & tall(X0)) <=> ~strong(X0)) [input p2]
9. ! [X0] : ((~kind(X0) | old(X0)) <=> (generous(X0) & ~creative(X0))) [input p8]
19. happy(fred) [input p18]
23. ~strong(fred) | ~kind(fred) [... | 0 |
Everyone who is curious or not brave is either quiet or not strong.
If lucy is not quiet then susan is not wise or not kind.
Everyone who is quiet or wise is either not funny or not generous and vice versa.
Everyone who is kind or not tall is calm or brave and vice versa.
If fred is either happy or old then susan is bo... | Lucy is funny. | entailment | (![X]:((curious(X)|~brave(X))=>(quiet(X)<~>~strong(X))))&
((~quiet(lucy))=>((~wise(susan)|~kind(susan))))&
(![X]:((quiet(X)|wise(X))<=>(~funny(X)<~>~generous(X))))&
(![X]:((kind(X)|~tall(X))<=>(calm(X)|brave(X))))&
(((happy(fred)<~>old(fred)))=>((happy(susan)&quiet(susan))))&
(((~quiet(paul)&~wise(paul)))=>((~quiet(fre... | funny(lucy) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 762952488719391936481651
% SZS output start Proof for 762952488719391936481651
10. ! [X0] : ((~funny(X0) | ~old(X0)) <=> (funny(X0) & patient(X0))) [input p9]
25. ~funny(lucy) [input hypothesis]
50. ! [X0] : (((~funny(X0) | ~old(X0)) | (~funny(X0) | ~patient(X0))) & ((funny(X0) & patient(... | 0 |
Everyone who is funny or brave is humble and vice versa. Everyone who is either not old or tall is both not quiet and wise and vice versa. Everyone who is both not brave and curious is either brave or wise. Everyone who is both rich and not generous is not curious and vice versa. If john is calm then someone is creativ... | John is not brave. | entailment | (![X]:((funny(X)|brave(X))<=>humble(X)))&
(![X]:((~old(X)<~>tall(X))<=>(~quiet(X)&wise(X))))&
(![X]:((~brave(X)&curious(X))=>(brave(X)<~>wise(X))))&
(![X]:((rich(X)&~generous(X))<=>~curious(X)))&
((calm(john))=>(?[X]:((creative(X)|~happy(X)))))&
((funny(susan))=>((quiet(paul)|~tall(paul))))&
(![X]:(~calm(X)<=>(happy(X)... | ~brave(john) | [
"p0",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7784363864618504206104606
% SZS output start Proof for 7784363864618504206104606
1. ! [X0] : ((brave(X0) | funny(X0)) <=> humble(X0)) [input p0]
10. ! [X0] : ((~humble(X0) & ~wise(X0)) <=> (rich(X0) | patient(X0))) [input p9]
11. ? [X0] : (brave(X0) | ~wise(X0)) <=> (patient(john) & stron... | 0 |
Everyone who is both humble and not happy is either not curious or not calm and vice versa.
If fred is both not rich and not patient then susan is either not brave or not patient.
If someone is both old and funny then someone is both rich and kind and vice versa.
If someone is creative then someone is not tall or not b... | Fred is not quiet. | neutral | (![X]:((humble(X)&~happy(X))<=>(~curious(X)<~>~calm(X))))&
(((~rich(fred)&~patient(fred)))=>((~brave(susan)<~>~patient(susan))))&
((?[X]:((old(X)&funny(X))))<=>(?[X]:((rich(X)&kind(X)))))&
((?[X]:(creative(X)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:((~old(X)<~>patient(X))<=>kind(X)))&
((?[X]:((~patient(X)<~>~quiet(X)... | ~quiet(fred) | [] | null | 0 |
If someone is both funny and not quiet then someone is not funny or quiet.
Everyone who is either not humble or not rich is calm and vice versa.
Everyone who is either humble or calm is either strong or rich.
Everyone who is not happy is either not happy or not humble and vice versa.
Everyone who is both not humble and... | Mary is funny. | neutral | ((?[X]:((funny(X)&~quiet(X))))=>(?[X]:((~funny(X)|quiet(X)))))&
(![X]:((~humble(X)<~>~rich(X))<=>calm(X)))&
(![X]:((humble(X)<~>calm(X))=>(strong(X)<~>rich(X))))&
(![X]:(~happy(X)<=>(~happy(X)<~>~humble(X))))&
(![X]:((~humble(X)&kind(X))<=>(~humble(X)&quiet(X))))&
(((humble(fred)<~>curious(fred)))=>(?[X]:((~humble(X)&~... | funny(mary) | [] | null | 0 |
Everyone who is not calm or generous is not humble or not wise and vice versa. Everyone who is both rich and not curious is old or creative and vice versa. If someone is not old then fred is both old and patient. Everyone who is both not tall and not happy is not tall or strong. If fred is either wise or generous then ... | Fred is not tall. | entailment | (![X]:((~calm(X)|generous(X))<=>(~humble(X)|~wise(X))))&
(![X]:((rich(X)&~curious(X))<=>(old(X)|creative(X))))&
((?[X]:(~old(X)))=>((old(fred)&patient(fred))))&
(![X]:((~tall(X)&~happy(X))=>(~tall(X)|strong(X))))&
(((wise(fred)<~>generous(fred)))<=>(?[X]:((old(X)<~>calm(X)))))&
((?[X]:((~wise(X)|~creative(X))))=>(?[X]:... | ~tall(fred) | [
"p0",
"p2",
"p4",
"p5",
"p11",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6622579482837000830432427
% SZS output start Proof for 6622579482837000830432427
1. ! [X0] : ((generous(X0) | ~calm(X0)) <=> (~wise(X0) | ~humble(X0))) [input p0]
3. ? [X0] : ~old(X0) => (patient(fred) & old(fred)) [input p2]
5. (wise(fred) <~> generous(fred)) <=> ? [X0] : (old(X0) <~> ca... | 0 |
Everyone who is not wise is either creative or strong and vice versa.
If someone is funny or not rich then someone is either not wise or not old.
Everyone who is both wise and patient is not happy and vice versa.
If someone is not funny then someone is either patient or creative.
Everyone who is humble is both curious ... | Susan is brave. | entailment | (![X]:(~wise(X)<=>(creative(X)<~>strong(X))))&
((?[X]:((funny(X)|~rich(X))))=>(?[X]:((~wise(X)<~>~old(X)))))&
(![X]:((wise(X)&patient(X))<=>~happy(X)))&
((?[X]:(~funny(X)))=>(?[X]:((patient(X)<~>creative(X)))))&
(![X]:(humble(X)=>(curious(X)&~wise(X))))&
((?[X]:((old(X)<~>~kind(X))))<=>((generous(susan)|quiet(susan))))... | brave(susan) | [
"p6",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7981528071022929988952382
% SZS output start Proof for 7981528071022929988952382
7. ! [X0] : ((calm(X0) | wise(X0)) => (brave(X0) & happy(X0))) [input p6]
20. brave(susan) <~> wise(susan) [input p19]
25. ~brave(susan) [input hypothesis]
32. ! [X0] : ((brave(X0) & happy(X0)) | (~calm(X0) &... | 0 |
Everyone who is either not calm or not quiet is both not happy and not calm and vice versa.
If someone is both strong and humble then someone is both not strong and brave and vice versa.
If lucy is either funny or tall then mary is both humble and curious and vice versa.
If someone is not brave or quiet then someone is... | Paul is humble. | contradiction | (![X]:((~calm(X)<~>~quiet(X))<=>(~happy(X)&~calm(X))))&
((?[X]:((strong(X)&humble(X))))<=>(?[X]:((~strong(X)&brave(X)))))&
(((funny(lucy)<~>tall(lucy)))<=>((humble(mary)&curious(mary))))&
((?[X]:((~brave(X)|quiet(X))))=>(?[X]:((~wise(X)|rich(X)))))&
(((~creative(lucy)<~>curious(lucy)))=>((happy(lucy)|tall(lucy))))&
(((... | humble(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3191615609641587706552349
% SZS output start Proof for 3191615609641587706552349
16. ! [X0] : ((~humble(X0) <~> humble(X0)) => ~humble(X0)) [input p15]
24. humble(paul) [input hypothesis]
36. ! [X0] : (~humble(X0) | (~humble(X0) <=> humble(X0))) [ennf transformation 16]
64. ! [X0] : (~hum... | 0 |
If someone is old then susan is not quiet and vice versa. If someone is both not old and patient then lucy is not calm or brave. If someone is not creative or not tall then paul is both kind and not strong and vice versa. Everyone who is patient is quiet or not funny. If someone is quiet or not generous then lucy is ei... | Paul is not brave. | contradiction | ((?[X]:(old(X)))<=>(~quiet(susan)))&
((?[X]:((~old(X)&patient(X))))=>((~calm(lucy)|brave(lucy))))&
((?[X]:((~creative(X)|~tall(X))))<=>((kind(paul)&~strong(paul))))&
(![X]:(patient(X)=>(quiet(X)|~funny(X))))&
((?[X]:((quiet(X)|~generous(X))))<=>((curious(lucy)<~>~happy(lucy))))&
((?[X]:(creative(X)))<=>((humble(paul)<~... | ~brave(paul) | [
"p2",
"p7",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6459043448899971759372095
% SZS output start Proof for 6459043448899971759372095
3. ? [X0] : (~tall(X0) | ~creative(X0)) <=> (~strong(paul) & kind(paul)) [input p2]
8. ! [X0] : ((creative(X0) | ~kind(X0)) => (brave(X0) & ~funny(X0))) [input p7]
14. ! [X0] : (~strong(X0) => ~kind(X0)) [inp... | 0 |
Everyone who is not funny or not happy is not funny and vice versa.
Everyone who is kind is either old or not wise.
If someone is either tall or not quiet then someone is both not curious and not funny and vice versa.
If someone is both not happy and brave then fred is either not funny or not curious.
Everyone who is b... | Paul is not happy. | contradiction | (![X]:((~funny(X)|~happy(X))<=>~funny(X)))&
(![X]:(kind(X)=>(old(X)<~>~wise(X))))&
((?[X]:((tall(X)<~>~quiet(X))))<=>(?[X]:((~curious(X)&~funny(X)))))&
((?[X]:((~happy(X)&brave(X))))=>((~funny(fred)<~>~curious(fred))))&
(![X]:((~brave(X)&~funny(X))=>(patient(X)|kind(X))))&
(![X]:((kind(X)|~calm(X))=>(~kind(X)|tall(X)))... | ~happy(paul) | [
"p0",
"p6",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 545338046625449066620299
% SZS output start Proof for 545338046625449066620299
1. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> ~funny(X0)) [input p0]
7. ! [X0] : ((~curious(X0) & funny(X0)) <=> ~humble(X0)) [input p6]
12. ! [X0] : ((humble(X0) <~> wise(X0)) <=> (generous(X0) & wise(X0))) [inpu... | 0 |
Everyone who is both funny and not creative is either tall or generous. If paul is either brave or not generous then john is not creative and vice versa. Everyone who is either not brave or not funny is not humble and vice versa. Everyone who is either curious or creative is both not quiet and curious and vice versa. E... | Fred is happy. | neutral | (![X]:((funny(X)&~creative(X))=>(tall(X)<~>generous(X))))&
(((brave(paul)<~>~generous(paul)))<=>(~creative(john)))&
(![X]:((~brave(X)<~>~funny(X))<=>~humble(X)))&
(![X]:((curious(X)<~>creative(X))<=>(~quiet(X)&curious(X))))&
(![X]:(~curious(X)<=>(~old(X)|brave(X))))&
((?[X]:((quiet(X)<~>creative(X))))=>((~quiet(lucy)&~... | happy(fred) | [] | null | 0 |
Everyone who is not quiet or creative is either creative or quiet and vice versa. Everyone who is not patient or wise is rich or strong. If fred is humble or not tall then lucy is patient or not calm. Everyone who is either not generous or tall is either not rich or old and vice versa. Everyone who is not generous or c... | Paul is happy. | entailment | (![X]:((~quiet(X)|creative(X))<=>(creative(X)<~>quiet(X))))&
(![X]:((~patient(X)|wise(X))=>(rich(X)|strong(X))))&
(((humble(fred)|~tall(fred)))=>((patient(lucy)|~calm(lucy))))&
(![X]:((~generous(X)<~>tall(X))<=>(~rich(X)<~>old(X))))&
(![X]:((~generous(X)|curious(X))<=>(~wise(X)<~>~quiet(X))))&
((?[X]:((old(X)|~funny(X)... | happy(paul) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1862724321095656063124509
% SZS output start Proof for 1862724321095656063124509
22. ~brave(paul) & happy(paul) [input p21]
25. ~happy(paul) [input hypothesis]
151. happy(paul) [cnf transformation 22]
156. ~happy(paul) [cnf transformation 25]
361. $false [subsumption resolution 156,151]
%... | 0 |
Everyone who is either humble or not calm is both not wise and not funny.
If lucy is both not old and not rich then someone is curious or not curious.
Everyone who is not happy or funny is either funny or not calm.
If someone is both not generous and not curious then alice is both not kind and not tall.
Everyone who is... | Mary is not kind. | neutral | (![X]:((humble(X)<~>~calm(X))=>(~wise(X)&~funny(X))))&
(((~old(lucy)&~rich(lucy)))=>(?[X]:((curious(X)|~curious(X)))))&
(![X]:((~happy(X)|funny(X))=>(funny(X)<~>~calm(X))))&
((?[X]:((~generous(X)&~curious(X))))=>((~kind(alice)&~tall(alice))))&
(![X]:((strong(X)<~>~curious(X))=>~funny(X)))&
(![X]:((~rich(X)&funny(X))<=>... | ~kind(mary) | [] | null | 0 |
Everyone who is both rich and kind is generous.
If someone is both happy and humble then someone is generous or not old and vice versa.
Everyone who is calm is curious.
If john is not funny or not wise then mary is either not brave or not happy and vice versa.
Everyone who is either wise or strong is both creative and ... | Susan is funny. | neutral | (![X]:((rich(X)&kind(X))=>generous(X)))&
((?[X]:((happy(X)&humble(X))))<=>(?[X]:((generous(X)|~old(X)))))&
(![X]:(calm(X)=>curious(X)))&
(((~funny(john)|~wise(john)))<=>((~brave(mary)<~>~happy(mary))))&
(![X]:((wise(X)<~>strong(X))<=>(creative(X)&~wise(X))))&
(![X]:(~brave(X)<=>(~creative(X)|~patient(X))))&
((?[X]:((~g... | funny(susan) | [] | null | 0 |
Everyone who is both kind and not kind is both not tall and not brave and vice versa. If someone is either brave or not wise then someone is not patient and vice versa. Everyone who is not funny or funny is either wise or strong and vice versa. Everyone who is both tall and strong is either not calm or tall and vice ve... | John is not old. | neutral | (![X]:((kind(X)&~kind(X))<=>(~tall(X)&~brave(X))))&
((?[X]:((brave(X)<~>~wise(X))))<=>(?[X]:(~patient(X))))&
(![X]:((~funny(X)|funny(X))<=>(wise(X)<~>strong(X))))&
(![X]:((tall(X)&strong(X))<=>(~calm(X)<~>tall(X))))&
((?[X]:((funny(X)<~>old(X))))=>((brave(susan)|happy(susan))))&
(![X]:((brave(X)<~>tall(X))<=>(quiet(X)<... | ~old(john) | [] | null | 0 |
Everyone who is funny is not kind.
Everyone who is rich is either wise or not calm and vice versa.
If lucy is humble then lucy is both happy and not wise.
Everyone who is both not patient and not kind is not calm and vice versa.
If someone is curious or wise then someone is strong and vice versa.
Everyone who is either... | Susan is not humble. | entailment | (![X]:(funny(X)=>~kind(X)))&
(![X]:(rich(X)<=>(wise(X)<~>~calm(X))))&
((humble(lucy))=>((happy(lucy)&~wise(lucy))))&
(![X]:((~patient(X)&~kind(X))<=>~calm(X)))&
((?[X]:((curious(X)|wise(X))))<=>(?[X]:(strong(X))))&
(![X]:((tall(X)<~>~wise(X))<=>(~old(X)|old(X))))&
(![X]:((patient(X)&funny(X))<=>brave(X)))&
(((strong(al... | ~humble(susan) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3566137485789073199517842
% SZS output start Proof for 3566137485789073199517842
11. ! [X0] : ((calm(X0) & ~calm(X0)) <=> (humble(X0) | tall(X0))) [input p10]
24. humble(susan) [input hypothesis]
52. ! [X0] : (((calm(X0) & ~calm(X0)) | (~humble(X0) & ~tall(X0))) & ((humble(X0) | tall(X0))... | 0 |
Everyone who is both tall and creative is old or quiet and vice versa. If alice is old then fred is not tall or not rich. If mary is calm then someone is not calm or rich and vice versa. Everyone who is not humble is not patient or not creative and vice versa. Everyone who is not patient is either creative or not calm.... | John is not calm. | neutral | (![X]:((tall(X)&creative(X))<=>(old(X)|quiet(X))))&
((old(alice))=>((~tall(fred)|~rich(fred))))&
((calm(mary))<=>(?[X]:((~calm(X)|rich(X)))))&
(![X]:(~humble(X)<=>(~patient(X)|~creative(X))))&
(![X]:(~patient(X)=>(creative(X)<~>~calm(X))))&
((?[X]:((~funny(X)|rich(X))))=>((~calm(john)|creative(john))))&
(![X]:(strong(X... | ~calm(john) | [] | null | 0 |
Everyone who is not strong or not calm is either not humble or curious. Everyone who is not old is either not humble or humble. Everyone who is tall is not generous. Everyone who is either creative or not kind is not old and vice versa. Everyone who is quiet or not strong is happy or kind. Everyone who is either wise o... | Alice is tall. | entailment | (![X]:((~strong(X)|~calm(X))=>(~humble(X)<~>curious(X))))&
(![X]:(~old(X)=>(~humble(X)<~>humble(X))))&
(![X]:(tall(X)=>~generous(X)))&
(![X]:((creative(X)<~>~kind(X))<=>~old(X)))&
(![X]:((quiet(X)|~strong(X))=>(happy(X)|kind(X))))&
(![X]:((wise(X)<~>tall(X))=>(~creative(X)<~>~strong(X))))&
(((~generous(susan)&~patient(... | tall(alice) | [
"p2",
"p7",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 986872450789972843555379
% SZS output start Proof for 986872450789972843555379
3. ! [X0] : (tall(X0) => ~generous(X0)) [input p2]
8. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (~tall(X0) <~> humble(X0))) [input p7]
19. humble(alice) & ~funny(alice) [input p18]
24. ~tall(alice) [input hy... | 0 |
Everyone who is either tall or not curious is both rich and not rich and vice versa.
Everyone who is patient or quiet is either happy or brave and vice versa.
Everyone who is strong is tall.
If someone is either not happy or patient then someone is rich and vice versa.
If paul is creative or calm then someone is both n... | Mary is not tall. | neutral | (![X]:((tall(X)<~>~curious(X))<=>(rich(X)&~rich(X))))&
(![X]:((patient(X)|quiet(X))<=>(happy(X)<~>brave(X))))&
(![X]:(strong(X)=>tall(X)))&
((?[X]:((~happy(X)<~>patient(X))))<=>(?[X]:(rich(X))))&
(((creative(paul)|calm(paul)))<=>(?[X]:((~old(X)&tall(X)))))&
(![X]:((~wise(X)&~brave(X))=>(kind(X)|~patient(X))))&
(![X]:((... | ~tall(mary) | [] | null | 0 |
Everyone who is not humble or not wise is not old and vice versa.
Everyone who is either not rich or humble is not old or not generous and vice versa.
Everyone who is not old is both not tall and wise and vice versa.
If alice is not humble then someone is either old or curious and vice versa.
Everyone who is both not q... | John is creative. | entailment | (![X]:((~humble(X)|~wise(X))<=>~old(X)))&
(![X]:((~rich(X)<~>humble(X))<=>(~old(X)|~generous(X))))&
(![X]:(~old(X)<=>(~tall(X)&wise(X))))&
((~humble(alice))<=>(?[X]:((old(X)<~>curious(X)))))&
(![X]:((~quiet(X)&~humble(X))=>~humble(X)))&
(![X]:((~tall(X)|~curious(X))=>(old(X)<~>~creative(X))))&
(![X]:(~patient(X)<=>(~ge... | creative(john) | [
"p0",
"p1",
"p2",
"p3",
"p5",
"p8",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5067983935364555722807642
% SZS output start Proof for 5067983935364555722807642
1. ! [X0] : ((~wise(X0) | ~humble(X0)) <=> ~old(X0)) [input p0]
2. ! [X0] : ((~rich(X0) <~> humble(X0)) <=> (~generous(X0) | ~old(X0))) [input p1]
3. ! [X0] : (~old(X0) <=> (wise(X0) & ~tall(X0))) [input p2]
... | 0 |
Everyone who is not humble is either not old or funny and vice versa.
If someone is either not wise or funny then someone is either calm or happy.
Everyone who is either creative or curious is not brave.
Everyone who is both not generous and happy is happy or not calm and vice versa.
If someone is not funny then lucy i... | Fred is brave. | neutral | (![X]:(~humble(X)<=>(~old(X)<~>funny(X))))&
((?[X]:((~wise(X)<~>funny(X))))=>(?[X]:((calm(X)<~>happy(X)))))&
(![X]:((creative(X)<~>curious(X))=>~brave(X)))&
(![X]:((~generous(X)&happy(X))<=>(happy(X)|~calm(X))))&
((?[X]:(~funny(X)))=>((rich(lucy)|~tall(lucy))))&
(![X]:(~funny(X)<=>(~funny(X)&funny(X))))&
(![X]:((~wise(... | brave(fred) | [] | null | 0 |
If susan is curious or not curious then mary is either not strong or not tall.
If someone is both not old and not calm then john is either funny or curious and vice versa.
If fred is both not kind and curious then paul is either not funny or not strong and vice versa.
Everyone who is brave or not old is either not stro... | Alice is calm. | neutral | (((curious(susan)|~curious(susan)))=>((~strong(mary)<~>~tall(mary))))&
((?[X]:((~old(X)&~calm(X))))<=>((funny(john)<~>curious(john))))&
(((~kind(fred)&curious(fred)))<=>((~funny(paul)<~>~strong(paul))))&
(![X]:((brave(X)|~old(X))<=>(~strong(X)<~>~quiet(X))))&
(![X]:((~old(X)<~>~curious(X))<=>(strong(X)&wise(X))))&
((~c... | calm(alice) | [] | null | 0 |
If someone is wise then someone is not old or not happy.
If mary is both wise and curious then mary is either not brave or happy and vice versa.
If lucy is either old or not quiet then someone is not happy.
If paul is both old and tall then paul is old or not brave.
Everyone who is both not patient and not funny is bot... | Mary is happy. | entailment | ((?[X]:(wise(X)))=>(?[X]:((~old(X)|~happy(X)))))&
(((wise(mary)&curious(mary)))<=>((~brave(mary)<~>happy(mary))))&
(((old(lucy)<~>~quiet(lucy)))=>(?[X]:(~happy(X))))&
(((old(paul)&tall(paul)))=>((old(paul)|~brave(paul))))&
(![X]:((~patient(X)&~funny(X))=>(tall(X)&old(X))))&
(((curious(mary)&~funny(mary)))<=>((patient(f... | happy(mary) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 781322547317703134188098
% SZS output start Proof for 781322547317703134188098
22. happy(mary) [input p21]
25. ~happy(mary) [input hypothesis]
131. happy(mary) [cnf transformation 22]
136. ~happy(mary) [cnf transformation 25]
150. 4 <=> happy(mary) [avatar definition]
298. 4 [avatar split... | 0 |
If someone is either not quiet or not funny then mary is funny.
Everyone who is not rich or humble is both brave and tall.
Everyone who is not strong is generous or not rich and vice versa.
If someone is both not tall and not calm then someone is calm.
Everyone who is calm or not brave is quiet.
If someone is both quie... | Paul is not brave. | neutral | ((?[X]:((~quiet(X)<~>~funny(X))))=>(funny(mary)))&
(![X]:((~rich(X)|humble(X))=>(brave(X)&tall(X))))&
(![X]:(~strong(X)<=>(generous(X)|~rich(X))))&
((?[X]:((~tall(X)&~calm(X))))=>(?[X]:(calm(X))))&
(![X]:((calm(X)|~brave(X))=>quiet(X)))&
((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((~funny(X)<~>patient(X)))))&
(![X]:((~rich... | ~brave(paul) | [] | null | 0 |
Everyone who is both creative and not quiet is either happy or generous.
Everyone who is both not quiet and not brave is both calm and generous.
Everyone who is wise or patient is either not strong or happy and vice versa.
If someone is creative or not kind then alice is both not tall and not quiet.
Everyone who is hum... | Paul is funny. | neutral | (![X]:((creative(X)&~quiet(X))=>(happy(X)<~>generous(X))))&
(![X]:((~quiet(X)&~brave(X))=>(calm(X)&generous(X))))&
(![X]:((wise(X)|patient(X))<=>(~strong(X)<~>happy(X))))&
((?[X]:((creative(X)|~kind(X))))=>((~tall(alice)&~quiet(alice))))&
(![X]:(humble(X)=>(quiet(X)|patient(X))))&
(((humble(susan)&~brave(susan)))=>((wi... | funny(paul) | [] | null | 0 |
If someone is either not humble or not brave then fred is brave and vice versa.
If someone is patient or not generous then fred is happy and vice versa.
Everyone who is not patient is either not strong or funny.
Everyone who is both not kind and tall is not calm or rich.
If someone is not humble then someone is kind or... | Fred is not strong. | contradiction | ((?[X]:((~humble(X)<~>~brave(X))))<=>(brave(fred)))&
((?[X]:((patient(X)|~generous(X))))<=>(happy(fred)))&
(![X]:(~patient(X)=>(~strong(X)<~>funny(X))))&
(![X]:((~kind(X)&tall(X))=>(~calm(X)|rich(X))))&
((?[X]:(~humble(X)))=>(?[X]:((kind(X)|~tall(X)))))&
(![X]:(brave(X)<=>(~generous(X)<~>humble(X))))&
(![X]:((~calm(X)<... | ~strong(fred) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8965491613982452476751967
% SZS output start Proof for 8965491613982452476751967
10. ! [X0] : ((~generous(X0) | ~strong(X0)) <=> strong(X0)) [input p9]
23. ~strong(fred) [input hypothesis]
49. ! [X0] : (((~generous(X0) | ~strong(X0)) | ~strong(X0)) & (strong(X0) | (generous(X0) & strong(X... | 0 |
If someone is both not patient and not wise then someone is both not humble and old and vice versa. Everyone who is either funny or creative is both patient and not creative. If john is creative then susan is not creative or not funny and vice versa. Everyone who is both not wise and not humble is not humble or not pat... | Susan is patient. | neutral | ((?[X]:((~patient(X)&~wise(X))))<=>(?[X]:((~humble(X)&old(X)))))&
(![X]:((funny(X)<~>creative(X))=>(patient(X)&~creative(X))))&
((creative(john))<=>((~creative(susan)|~funny(susan))))&
(![X]:((~wise(X)&~humble(X))<=>(~humble(X)|~patient(X))))&
(((~tall(lucy)&~wise(lucy)))<=>(?[X]:((~creative(X)|~patient(X)))))&
(![X]:(... | patient(susan) | [] | null | 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 happy. | entailment | (((~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))... | ~happy(alice) | [
"p0",
"p2",
"p5",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 820983165721230000862129
% SZS output start Proof for 820983165721230000862129
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 either not creative or old is both not quiet and patient.
Everyone who is both not quiet and funny is old or not kind and vice versa.
If fred is not strong then susan is quiet.
If someone is both happy and not wise then someone is funny and vice versa.
If john is either not strong or humble then someone... | John is not strong. | neutral | (![X]:((~creative(X)<~>old(X))=>(~quiet(X)&patient(X))))&
(![X]:((~quiet(X)&funny(X))<=>(old(X)|~kind(X))))&
((~strong(fred))=>(quiet(susan)))&
((?[X]:((happy(X)&~wise(X))))<=>(?[X]:(funny(X))))&
(((~strong(john)<~>humble(john)))<=>(?[X]:((~old(X)&calm(X)))))&
(((generous(lucy)&~brave(lucy)))=>(?[X]:((funny(X)<~>wise(X... | ~strong(john) | [] | null | 0 |
Everyone who is both not happy and not humble is either not creative or not rich.
If someone is not creative then someone is both wise and calm.
If someone is both not creative and not funny then john is old.
Everyone who is both not strong and not patient is both not kind and not funny.
Everyone who is not rich is not... | Alice is humble. | entailment | (![X]:((~happy(X)&~humble(X))=>(~creative(X)<~>~rich(X))))&
((?[X]:(~creative(X)))=>(?[X]:((wise(X)&calm(X)))))&
((?[X]:((~creative(X)&~funny(X))))=>(old(john)))&
(![X]:((~strong(X)&~patient(X))=>(~kind(X)&~funny(X))))&
(![X]:(~rich(X)=>(~kind(X)|strong(X))))&
((?[X]:(~happy(X)))=>((humble(fred)|creative(fred))))&
(![X... | humble(alice) | [
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5972692541456007955816062
% SZS output start Proof for 5972692541456007955816062
11. (~kind(alice) & humble(alice)) <=> ~patient(paul) [input p10]
13. ! [X0] : ((kind(X0) <~> patient(X0)) <=> kind(X0)) [input p12]
24. ~humble(alice) [input hypothesis]
53. ((~kind(alice) & humble(alice)) |... | 0 |
If someone is both not kind and strong then someone is both kind and not curious.
If fred is both curious and not rich then someone is quiet or not rich.
If mary is both strong and not wise then someone is either generous or not patient and vice versa.
If someone is either not humble or kind then paul is happy and vice... | Fred is rich. | entailment | ((?[X]:((~kind(X)&strong(X))))=>(?[X]:((kind(X)&~curious(X)))))&
(((curious(fred)&~rich(fred)))=>(?[X]:((quiet(X)|~rich(X)))))&
(((strong(mary)&~wise(mary)))<=>(?[X]:((generous(X)<~>~patient(X)))))&
((?[X]:((~humble(X)<~>kind(X))))<=>(happy(paul)))&
(![X]:((~curious(X)|patient(X))<=>(~creative(X)<~>quiet(X))))&
(![X]:(... | rich(fred) | [
"p5",
"p8",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 320945780619873992796390
% SZS output start Proof for 320945780619873992796390
6. ! [X0] : (calm(X0) => (patient(X0) & ~wise(X0))) [input p5]
9. ! [X0] : ((curious(X0) | ~calm(X0)) => (strong(X0) & tall(X0))) [input p8]
11. ! [X0] : ((~strong(X0) | rich(X0)) <=> (~tall(X0) <~> brave(X0)))... | 0 |
Everyone who is both tall and not kind is either strong or curious.
Everyone who is both funny and not creative is not patient.
Everyone who is both not strong and not brave is either creative or not curious and vice versa.
Everyone who is either rich or kind is not kind or not creative.
If lucy is generous or not quie... | Susan is not calm. | contradiction | (![X]:((tall(X)&~kind(X))=>(strong(X)<~>curious(X))))&
(![X]:((funny(X)&~creative(X))=>~patient(X)))&
(![X]:((~strong(X)&~brave(X))<=>(creative(X)<~>~curious(X))))&
(![X]:((rich(X)<~>kind(X))=>(~kind(X)|~creative(X))))&
(((generous(lucy)|~quiet(lucy)))<=>(?[X]:((tall(X)|~generous(X)))))&
(![X]:((~strong(X)|~brave(X))<=... | ~calm(susan) | [
"p2",
"p5",
"p11",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 543968753259149656052737
% SZS output start Proof for 543968753259149656052737
3. ! [X0] : ((~brave(X0) & ~strong(X0)) <=> (creative(X0) <~> ~curious(X0))) [input p2]
6. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> (humble(X0) & ~creative(X0))) [input p5]
12. (~tall(susan) & rich(susan)) <=> ... | 0 |
Everyone who is not strong is not patient and vice versa. Everyone who is not old or not creative is both generous and not strong. Everyone who is both wise and strong is not funny and vice versa. Everyone who is not happy or creative is both curious and quiet and vice versa. Everyone who is either not happy or not cal... | Mary is not calm. | contradiction | (![X]:(~strong(X)<=>~patient(X)))&
(![X]:((~old(X)|~creative(X))=>(generous(X)&~strong(X))))&
(![X]:((wise(X)&strong(X))<=>~funny(X)))&
(![X]:((~happy(X)|creative(X))<=>(curious(X)&quiet(X))))&
(![X]:((~happy(X)<~>~calm(X))=>brave(X)))&
(((~funny(lucy)<~>~curious(lucy)))=>((funny(susan)&strong(susan))))&
(![X]:((~stron... | ~calm(mary) | [
"p0",
"p1",
"p2",
"p3",
"p6",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 1750286068837110309301083
% SZS output start Proof for 1750286068837110309301083
1. ! [X0] : (~strong(X0) <=> ~patient(X0)) [input p0]
2. ! [X0] : ((~creative(X0) | ~old(X0)) => (~strong(X0) & generous(X0))) [input p1]
3. ! [X0] : ((strong(X0) & wise(X0)) <=> ~funny(X0)) [input p2]
4. ! [... | 0 |
If someone is old then fred is not generous or not rich and vice versa. If mary is generous then someone is both quiet and tall. Everyone who is calm or quiet is both not patient and creative and vice versa. Everyone who is not calm is not creative or not happy. Everyone who is not happy or not curious is both calm and... | Alice is not funny. | contradiction | ((?[X]:(old(X)))<=>((~generous(fred)|~rich(fred))))&
((generous(mary))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((calm(X)|quiet(X))<=>(~patient(X)&creative(X))))&
(![X]:(~calm(X)=>(~creative(X)|~happy(X))))&
(![X]:((~happy(X)|~curious(X))=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&~old(X))<=>(~calm(X)<~>~funny(X))))&
(![X]... | ~funny(alice) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3655139078010507206826375
% SZS output start Proof for 3655139078010507206826375
3. ! [X0] : ((quiet(X0) | calm(X0)) <=> (creative(X0) & ~patient(X0))) [input p2]
4. ! [X0] : (~calm(X0) => (~happy(X0) | ~creative(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~rich(X0) & ca... | 0 |
Everyone who is both not humble and not creative is kind and vice versa.
If mary is both curious and not kind then fred is not patient and vice versa.
Everyone who is not tall or not humble is both not generous and creative.
If someone is not funny then alice is either not brave or kind and vice versa.
Everyone who is ... | Mary is rich. | neutral | (![X]:((~humble(X)&~creative(X))<=>kind(X)))&
(((curious(mary)&~kind(mary)))<=>(~patient(fred)))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&creative(X))))&
((?[X]:(~funny(X)))<=>((~brave(alice)<~>kind(alice))))&
(![X]:((~patient(X)|~old(X))<=>(~kind(X)|strong(X))))&
(![X]:((brave(X)<~>patient(X))=>(kind(X)&patient(X)... | rich(mary) | [] | null | 0 |
Everyone who is not old is not generous or not strong.
Everyone who is wise or generous is both not happy and kind and vice versa.
Everyone who is not brave or kind is funny or not humble and vice versa.
If fred is both not generous and not wise then paul is both rich and curious and vice versa.
If someone is humble th... | Alice is not quiet. | neutral | (![X]:(~old(X)=>(~generous(X)|~strong(X))))&
(![X]:((wise(X)|generous(X))<=>(~happy(X)&kind(X))))&
(![X]:((~brave(X)|kind(X))<=>(funny(X)|~humble(X))))&
(((~generous(fred)&~wise(fred)))<=>((rich(paul)&curious(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((old(X)<~>calm(X)))))&
(![X]:((~generous(X)|~patient(X))=>(~rich(X)<~>~t... | ~quiet(alice) | [] | null | 0 |
Everyone who is not creative is either not tall or not humble and vice versa.
If someone is humble or not humble then someone is both humble and not funny and vice versa.
If mary is not brave or not strong then mary is both tall and not patient.
Everyone who is not rich is both not funny and funny and vice versa.
Every... | Alice is creative. | contradiction | (![X]:(~creative(X)<=>(~tall(X)<~>~humble(X))))&
((?[X]:((humble(X)|~humble(X))))<=>(?[X]:((humble(X)&~funny(X)))))&
(((~brave(mary)|~strong(mary)))=>((tall(mary)&~patient(mary))))&
(![X]:(~rich(X)<=>(~funny(X)&funny(X))))&
(![X]:(happy(X)=>(calm(X)<~>kind(X))))&
((~kind(susan))<=>((patient(alice)&~humble(alice))))&
(!... | creative(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8056593388588733389835663
% SZS output start Proof for 8056593388588733389835663
7. ! [X0] : (~creative(X0) <=> (creative(X0) | generous(X0))) [input p6]
19. creative(alice) [input hypothesis]
43. ! [X0] : ((~creative(X0) | (~creative(X0) & ~generous(X0))) & ((creative(X0) | generous(X0))... | 0 |
Everyone who is happy or not curious is calm and vice versa. Everyone who is not tall is either not strong or patient. Everyone who is kind or not funny is both not kind and quiet and vice versa. Everyone who is either not rich or not wise is both generous and creative and vice versa. Everyone who is not wise is both n... | Fred is not brave. | neutral | (![X]:((happy(X)|~curious(X))<=>calm(X)))&
(![X]:(~tall(X)=>(~strong(X)<~>patient(X))))&
(![X]:((kind(X)|~funny(X))<=>(~kind(X)&quiet(X))))&
(![X]:((~rich(X)<~>~wise(X))<=>(generous(X)&creative(X))))&
(![X]:(~wise(X)<=>(~curious(X)&~humble(X))))&
(![X]:((brave(X)&~brave(X))<=>(~old(X)|kind(X))))&
(![X]:(~old(X)<=>(happ... | ~brave(fred) | [] | null | 0 |
Everyone who is both old and not patient is either humble or tall and vice versa. Everyone who is not generous is happy or not kind. Everyone who is either strong or tall is not calm or calm. If lucy is rich then alice is both not humble and curious and vice versa. Everyone who is either not creative or not curious is ... | Lucy is curious. | entailment | (![X]:((old(X)&~patient(X))<=>(humble(X)<~>tall(X))))&
(![X]:(~generous(X)=>(happy(X)|~kind(X))))&
(![X]:((strong(X)<~>tall(X))=>(~calm(X)|calm(X))))&
((rich(lucy))<=>((~humble(alice)&curious(alice))))&
(![X]:((~creative(X)<~>~curious(X))=>kind(X)))&
(![X]:((patient(X)|funny(X))<=>(brave(X)<~>~humble(X))))&
(![X]:((~hu... | curious(lucy) | [
"p8",
"p10",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3560524843106592678118460
% SZS output start Proof for 3560524843106592678118460
9. ! [X0] : ((~humble(X0) | brave(X0)) => kind(X0)) [input p8]
11. ? [X0] : humble(X0) <=> (~calm(lucy) & ~funny(lucy)) [input p10]
16. ! [X0] : ((generous(X0) | ~calm(X0)) => curious(X0)) [input p15]
23. ? [... | 0 |
Everyone who is not humble is patient and vice versa. If someone is not creative or generous then someone is not old. Everyone who is either not kind or not generous is not humble. If john is patient or rich then mary is either not old or not generous. Everyone who is not strong or tall is creative or not rich. Everyon... | Paul is not wise. | entailment | (![X]:(~humble(X)<=>patient(X)))&
((?[X]:((~creative(X)|generous(X))))=>(?[X]:(~old(X))))&
(![X]:((~kind(X)<~>~generous(X))=>~humble(X)))&
(((patient(john)|rich(john)))=>((~old(mary)<~>~generous(mary))))&
(![X]:((~strong(X)|tall(X))=>(creative(X)|~rich(X))))&
(![X]:((~brave(X)<~>~old(X))=>(brave(X)|calm(X))))&
(![X]:((... | ~wise(paul) | [
"p0",
"p5",
"p9",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6665476298191032706392776
% SZS output start Proof for 6665476298191032706392776
1. ! [X0] : (~humble(X0) <=> patient(X0)) [input p0]
6. ! [X0] : ((~brave(X0) <~> ~old(X0)) => (calm(X0) | brave(X0))) [input p5]
10. ! [X0] : ((~kind(X0) & calm(X0)) <=> (~strong(X0) | humble(X0))) [input p9... | 0 |
If someone is not calm or calm then lucy is not quiet. Everyone who is both quiet and not happy is not happy and vice versa. Everyone who is creative is not wise or tall and vice versa. If john is not patient then susan is either not curious or creative and vice versa. If someone is both not funny and not generous then... | Paul is generous. | contradiction | ((?[X]:((~calm(X)|calm(X))))=>(~quiet(lucy)))&
(![X]:((quiet(X)&~happy(X))<=>~happy(X)))&
(![X]:(creative(X)<=>(~wise(X)|tall(X))))&
((~patient(john))<=>((~curious(susan)<~>creative(susan))))&
((?[X]:((~funny(X)&~generous(X))))<=>((strong(paul)|brave(paul))))&
((?[X]:(humble(X)))<=>(?[X]:((kind(X)&~funny(X)))))&
(![X]:... | generous(paul) | [
"p1",
"p4",
"p6",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8477570819431685037908684
% SZS output start Proof for 8477570819431685037908684
2. ! [X0] : ((~happy(X0) & quiet(X0)) <=> ~happy(X0)) [input p1]
5. ? [X0] : (~generous(X0) & ~funny(X0)) <=> (brave(paul) | strong(paul)) [input p4]
7. ! [X0] : ((strong(X0) | ~happy(X0)) => (~strong(X0) <~>... | 0 |
If someone is not strong or not funny then someone is both not curious and not calm.
If someone is either not calm or not curious then someone is both not strong and patient.
If someone is either happy or not humble then someone is either quiet or wise.
If someone is both not happy and not patient then alice is creativ... | Alice is not quiet. | neutral | ((?[X]:((~strong(X)|~funny(X))))=>(?[X]:((~curious(X)&~calm(X)))))&
((?[X]:((~calm(X)<~>~curious(X))))=>(?[X]:((~strong(X)&patient(X)))))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((quiet(X)<~>wise(X)))))&
((?[X]:((~happy(X)&~patient(X))))=>((creative(alice)|~tall(alice))))&
((?[X]:((humble(X)<~>calm(X))))=>((calm(lucy... | ~quiet(alice) | [] | null | 0 |
Everyone who is both not patient and not quiet is not tall or not rich.
Everyone who is not calm or old is both brave and tall and vice versa.
Everyone who is kind is both not kind and humble.
Everyone who is happy or strong is kind.
Everyone who is happy or funny is both not tall and brave.
Everyone who is old is both... | John is not rich. | contradiction | (![X]:((~patient(X)&~quiet(X))=>(~tall(X)|~rich(X))))&
(![X]:((~calm(X)|old(X))<=>(brave(X)&tall(X))))&
(![X]:(kind(X)=>(~kind(X)&humble(X))))&
(![X]:((happy(X)|strong(X))=>kind(X)))&
(![X]:((happy(X)|funny(X))=>(~tall(X)&brave(X))))&
(![X]:(old(X)<=>(~patient(X)&patient(X))))&
(![X]:((patient(X)<~>~funny(X))=>patient(... | ~rich(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2169447622602098995481513
% SZS output start Proof for 2169447622602098995481513
14. ! [X0] : ((~rich(X0) | humble(X0)) => (calm(X0) & rich(X0))) [input p13]
24. ~rich(john) [input hypothesis]
34. ! [X0] : ((calm(X0) & rich(X0)) | (rich(X0) & ~humble(X0))) [ennf transformation 14]
120. ri... | 0 |
Everyone who is both not quiet and wise is both not strong and not quiet.
Everyone who is not generous is either funny or happy.
If paul is kind or curious then susan is either happy or tall.
Everyone who is either wise or creative is strong or not curious and vice versa.
If someone is either happy or generous then som... | Fred is not wise. | neutral | (![X]:((~quiet(X)&wise(X))=>(~strong(X)&~quiet(X))))&
(![X]:(~generous(X)=>(funny(X)<~>happy(X))))&
(((kind(paul)|curious(paul)))=>((happy(susan)<~>tall(susan))))&
(![X]:((wise(X)<~>creative(X))<=>(strong(X)|~curious(X))))&
((?[X]:((happy(X)<~>generous(X))))<=>(?[X]:((funny(X)&~patient(X)))))&
(![X]:((~brave(X)&wise(X)... | ~wise(fred) | [] | null | 0 |
If paul is wise then someone is either not kind or not funny and vice versa.
Everyone who is either not calm or funny is not creative or not curious and vice versa.
Everyone who is not curious or patient is either not creative or not funny.
If someone is both generous and funny then lucy is not calm.
If alice is both p... | Lucy is generous. | neutral | ((wise(paul))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:((~calm(X)<~>funny(X))<=>(~creative(X)|~curious(X))))&
(![X]:((~curious(X)|patient(X))=>(~creative(X)<~>~funny(X))))&
((?[X]:((generous(X)&funny(X))))=>(~calm(lucy)))&
(((patient(alice)&curious(alice)))=>((happy(mary)|strong(mary))))&
(![X]:(rich(X)<=>(patient(X)<... | generous(lucy) | [] | null | 0 |
Everyone who is happy or not quiet is either not patient or not kind. If someone is either not rich or not creative then paul is rich. Everyone who is not kind or humble is rich or generous. If mary is not tall then someone is both not old and wise and vice versa. Everyone who is quiet is not wise or not patient. Every... | Paul is not brave. | contradiction | (![X]:((happy(X)|~quiet(X))=>(~patient(X)<~>~kind(X))))&
((?[X]:((~rich(X)<~>~creative(X))))=>(rich(paul)))&
(![X]:((~kind(X)|humble(X))=>(rich(X)|generous(X))))&
((~tall(mary))<=>(?[X]:((~old(X)&wise(X)))))&
(![X]:(quiet(X)=>(~wise(X)|~patient(X))))&
(![X]:(~brave(X)=>(happy(X)<~>~kind(X))))&
(![X]:((rich(X)&~kind(X))... | ~brave(paul) | [
"p0",
"p1",
"p5",
"p6",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3156389113033243545683236
% SZS output start Proof for 3156389113033243545683236
1. ! [X0] : ((~quiet(X0) | happy(X0)) => (~patient(X0) <~> ~kind(X0))) [input p0]
2. ? [X0] : (~rich(X0) <~> ~creative(X0)) => rich(paul) [input p1]
6. ! [X0] : (~brave(X0) => (happy(X0) <~> ~kind(X0))) [inpu... | 0 |
Everyone who is not rich or not brave is not patient and vice versa.
Everyone who is either not patient or happy is kind or patient.
If alice is strong or generous then fred is either calm or tall and vice versa.
If someone is quiet then someone is curious or creative and vice versa.
Everyone who is not strong or not h... | Fred is not old. | entailment | (![X]:((~rich(X)|~brave(X))<=>~patient(X)))&
(![X]:((~patient(X)<~>happy(X))=>(kind(X)|patient(X))))&
(((strong(alice)|generous(alice)))<=>((calm(fred)<~>tall(fred))))&
((?[X]:(quiet(X)))<=>(?[X]:((curious(X)|creative(X)))))&
(![X]:((~strong(X)|~happy(X))=>(generous(X)<~>creative(X))))&
((~kind(lucy))=>((humble(mary)<~... | ~old(fred) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 5713585158100120026237587
% SZS output start Proof for 5713585158100120026237587
13. ! [X0] : ((rich(X0) | ~rich(X0)) <=> ~old(X0)) [input p12]
25. old(fred) [input hypothesis]
59. ! [X0] : (((rich(X0) | ~rich(X0)) | old(X0)) & (~old(X0) | (~rich(X0) & rich(X0)))) [nnf transformation 13]
... | 0 |
Everyone who is not funny is either not tall or brave.
Everyone who is either calm or not happy is not curious and vice versa.
Everyone who is not tall is either not creative or not brave and vice versa.
Everyone who is both not creative and tall is not tall.
Everyone who is both not quiet and not patient is either not... | Paul is kind. | entailment | (![X]:(~funny(X)=>(~tall(X)<~>brave(X))))&
(![X]:((calm(X)<~>~happy(X))<=>~curious(X)))&
(![X]:(~tall(X)<=>(~creative(X)<~>~brave(X))))&
(![X]:((~creative(X)&tall(X))=>~tall(X)))&
(![X]:((~quiet(X)&~patient(X))<=>(~funny(X)<~>old(X))))&
(![X]:((~rich(X)&curious(X))=>(~calm(X)|humble(X))))&
(![X]:((strong(X)&brave(X))=>... | kind(paul) | [
"p1",
"p11",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1716831714799431163169603
% SZS output start Proof for 1716831714799431163169603
2. ! [X0] : ((calm(X0) <~> ~happy(X0)) <=> ~curious(X0)) [input p1]
12. ! [X0] : ((~funny(X0) <~> creative(X0)) <=> ~creative(X0)) [input p11]
14. ! [X0] : ((~tall(X0) & brave(X0)) <=> (~curious(X0) <~> funny... | 0 |
Everyone who is kind or generous is either not brave or not happy and vice versa.
If someone is funny then lucy is generous.
Everyone who is not generous or creative is not funny and vice versa.
If susan is either brave or not strong then john is both patient and tall and vice versa.
If someone is generous or brave the... | Lucy is not curious. | neutral | (![X]:((kind(X)|generous(X))<=>(~brave(X)<~>~happy(X))))&
((?[X]:(funny(X)))=>(generous(lucy)))&
(![X]:((~generous(X)|creative(X))<=>~funny(X)))&
(((brave(susan)<~>~strong(susan)))<=>((patient(john)&tall(john))))&
((?[X]:((generous(X)|brave(X))))=>(?[X]:(~brave(X))))&
(![X]:((old(X)&~strong(X))<=>(~funny(X)|strong(X)))... | ~curious(lucy) | [] | null | 0 |
If lucy is either tall or not rich then lucy is both not patient and not quiet and vice versa.
Everyone who is either not happy or not funny is both not calm and generous.
If someone is both rich and creative then lucy is either not strong or not calm.
Everyone who is curious or calm is either not kind or happy and vic... | Fred is not brave. | entailment | (((tall(lucy)<~>~rich(lucy)))<=>((~patient(lucy)&~quiet(lucy))))&
(![X]:((~happy(X)<~>~funny(X))=>(~calm(X)&generous(X))))&
((?[X]:((rich(X)&creative(X))))=>((~strong(lucy)<~>~calm(lucy))))&
(![X]:((curious(X)|calm(X))<=>(~kind(X)<~>happy(X))))&
((?[X]:(~old(X)))<=>((old(fred)<~>~humble(fred))))&
(((happy(fred)<~>~brav... | ~brave(fred) | [
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5359555785145348559964415
% SZS output start Proof for 5359555785145348559964415
16. (humble(fred) & ~brave(fred)) <=> ? [X0] : (~funny(X0) | tall(X0)) [input p15]
19. ~funny(lucy) [input p18]
24. brave(fred) [input hypothesis]
61. ((humble(fred) & ~brave(fred)) | ! [X0] : (funny(X0) & ~t... | 0 |
Everyone who is old is curious and vice versa.
Everyone who is both not kind and patient is not funny.
If lucy is either not calm or quiet then fred is not kind or not creative and vice versa.
Everyone who is brave or patient is either not curious or patient and vice versa.
Everyone who is both strong and kind is not t... | Lucy is not kind. | contradiction | (![X]:(old(X)<=>curious(X)))&
(![X]:((~kind(X)&patient(X))=>~funny(X)))&
(((~calm(lucy)<~>quiet(lucy)))<=>((~kind(fred)|~creative(fred))))&
(![X]:((brave(X)|patient(X))<=>(~curious(X)<~>patient(X))))&
(![X]:((strong(X)&kind(X))<=>(~tall(X)|~strong(X))))&
(![X]:((funny(X)|quiet(X))=>(brave(X)&~curious(X))))&
(((~quiet(l... | ~kind(lucy) | [
"p4",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 469143991524807255258618
% SZS output start Proof for 469143991524807255258618
5. ! [X0] : ((kind(X0) & strong(X0)) <=> (~strong(X0) | ~tall(X0))) [input p4]
11. ? [X0] : (~tall(X0) <~> curious(X0)) <=> (~strong(lucy) <~> ~curious(lucy)) [input p10]
15. ! [X0] : ((~kind(X0) | curious(X0))... | 0 |
If someone is both wise and calm then alice is either creative or not happy and vice versa. Everyone who is both happy and quiet is not rich or not brave and vice versa. If someone is calm or curious then mary is either creative or humble. Everyone who is not humble or not wise is either humble or not quiet. If paul is... | Mary is rich. | contradiction | ((?[X]:((wise(X)&calm(X))))<=>((creative(alice)<~>~happy(alice))))&
(![X]:((happy(X)&quiet(X))<=>(~rich(X)|~brave(X))))&
((?[X]:((calm(X)|curious(X))))=>((creative(mary)<~>humble(mary))))&
(![X]:((~humble(X)|~wise(X))=>(humble(X)<~>~quiet(X))))&
(((generous(paul)&tall(paul)))=>((strong(susan)&~tall(susan))))&
((~funny(... | rich(mary) | [
"p1",
"p2",
"p3",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7187484679743876262318204
% SZS output start Proof for 7187484679743876262318204
2. ! [X0] : ((quiet(X0) & happy(X0)) <=> (~brave(X0) | ~rich(X0))) [input p1]
3. ? [X0] : (curious(X0) | calm(X0)) => (creative(mary) <~> humble(mary)) [input p2]
4. ! [X0] : ((~wise(X0) | ~humble(X0)) => (hu... | 0 |
If someone is calm then paul is curious. Everyone who is both not curious and funny is not curious. Everyone who is both patient and not patient is kind or rich. Everyone who is both old and kind is quiet or not generous. If someone is both not old and old then someone is not creative or not wise. Everyone who is eithe... | Mary is generous. | neutral | ((?[X]:(calm(X)))=>(curious(paul)))&
(![X]:((~curious(X)&funny(X))=>~curious(X)))&
(![X]:((patient(X)&~patient(X))=>(kind(X)|rich(X))))&
(![X]:((old(X)&kind(X))=>(quiet(X)|~generous(X))))&
((?[X]:((~old(X)&old(X))))=>(?[X]:((~creative(X)|~wise(X)))))&
(![X]:((~patient(X)<~>~brave(X))=>(generous(X)<~>kind(X))))&
(![X]:(... | generous(mary) | [] | null | 0 |
Everyone who is funny or patient is either kind or quiet. Everyone who is either happy or not strong is both not calm and not kind and vice versa. If mary is not rich then alice is either strong or not curious. Everyone who is both humble and not funny is happy or creative. If paul is not kind or old then someone is no... | Fred is curious. | neutral | (![X]:((funny(X)|patient(X))=>(kind(X)<~>quiet(X))))&
(![X]:((happy(X)<~>~strong(X))<=>(~calm(X)&~kind(X))))&
((~rich(mary))=>((strong(alice)<~>~curious(alice))))&
(![X]:((humble(X)&~funny(X))=>(happy(X)|creative(X))))&
(((~kind(paul)|old(paul)))=>(?[X]:((~calm(X)|~wise(X)))))&
(((~generous(john)&kind(john)))<=>(brave(... | curious(fred) | [] | null | 0 |
Everyone who is creative is humble.
Everyone who is either not humble or not calm is either curious or rich.
Everyone who is generous or strong is not wise.
Everyone who is both humble and not humble is not curious or not funny and vice versa.
Everyone who is either not quiet or not strong is not rich.
Everyone who is ... | Susan is not kind. | neutral | (![X]:(creative(X)=>humble(X)))&
(![X]:((~humble(X)<~>~calm(X))=>(curious(X)<~>rich(X))))&
(![X]:((generous(X)|strong(X))=>~wise(X)))&
(![X]:((humble(X)&~humble(X))<=>(~curious(X)|~funny(X))))&
(![X]:((~quiet(X)<~>~strong(X))=>~rich(X)))&
(![X]:((patient(X)|humble(X))<=>(tall(X)&~happy(X))))&
(((~wise(susan)<~>~rich(su... | ~kind(susan) | [] | null | 0 |
Everyone who is humble or happy is not old or not quiet and vice versa.
If lucy is both not funny and not kind then fred is either rich or humble and vice versa.
Everyone who is tall or kind is both not humble and not calm and vice versa.
Everyone who is either not generous or not strong is both not creative and not wi... | Lucy is not happy. | neutral | (![X]:((humble(X)|happy(X))<=>(~old(X)|~quiet(X))))&
(((~funny(lucy)&~kind(lucy)))<=>((rich(fred)<~>humble(fred))))&
(![X]:((tall(X)|kind(X))<=>(~humble(X)&~calm(X))))&
(![X]:((~generous(X)<~>~strong(X))=>(~creative(X)&~wise(X))))&
(![X]:(~wise(X)<=>(quiet(X)<~>~generous(X))))&
((?[X]:((kind(X)&~calm(X))))<=>(?[X]:((~t... | ~happy(lucy) | [] | null | 0 |
Everyone who is calm is either kind or happy. If someone is both wise and creative then someone is patient or not calm. Everyone who is either wise or not rich is old or not funny and vice versa. If someone is not strong or not kind then mary is not wise and vice versa. Everyone who is funny or not strong is both not g... | Mary is rich. | contradiction | (![X]:(calm(X)=>(kind(X)<~>happy(X))))&
((?[X]:((wise(X)&creative(X))))=>(?[X]:((patient(X)|~calm(X)))))&
(![X]:((wise(X)<~>~rich(X))<=>(old(X)|~funny(X))))&
((?[X]:((~strong(X)|~kind(X))))<=>(~wise(mary)))&
(![X]:((funny(X)|~strong(X))<=>(~generous(X)&brave(X))))&
(![X]:((~kind(X)&~happy(X))<=>(~quiet(X)<~>patient(X))... | rich(mary) | [
"p2",
"p3",
"p6",
"p8",
"p9",
"p11",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6748483690733109404578045
% SZS output start Proof for 6748483690733109404578045
3. ! [X0] : ((wise(X0) <~> ~rich(X0)) <=> (~funny(X0) | old(X0))) [input p2]
4. ? [X0] : (~kind(X0) | ~strong(X0)) <=> ~wise(mary) [input p3]
7. ! [X0] : ((old(X0) <~> ~creative(X0)) <=> (tall(X0) & ~calm(X0)... | 0 |
Everyone who is not funny or funny is either not happy or generous and vice versa. If susan is both not curious and not rich then someone is creative or not calm. Everyone who is both happy and not rich is funny or not creative and vice versa. Everyone who is either not tall or not curious is both humble and not funny ... | John is wise. | contradiction | (![X]:((~funny(X)|funny(X))<=>(~happy(X)<~>generous(X))))&
(((~curious(susan)&~rich(susan)))=>(?[X]:((creative(X)|~calm(X)))))&
(![X]:((happy(X)&~rich(X))<=>(funny(X)|~creative(X))))&
(![X]:((~tall(X)<~>~curious(X))<=>(humble(X)&~funny(X))))&
(![X]:((~funny(X)<~>tall(X))=>~wise(X)))&
((?[X]:((rich(X)&old(X))))=>(?[X]:(... | wise(john) | [
"p0",
"p2",
"p4",
"p11",
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 588125280719727068637571
% SZS output start Proof for 588125280719727068637571
1. ! [X0] : ((funny(X0) | ~funny(X0)) <=> (~happy(X0) <~> generous(X0))) [input p0]
3. ! [X0] : ((~rich(X0) & happy(X0)) <=> (~creative(X0) | funny(X0))) [input p2]
5. ! [X0] : ((~funny(X0) <~> tall(X0)) => ~wi... | 0 |
If someone is either kind or not strong then someone is not funny or not kind. If susan is either kind or creative then fred is either happy or not quiet. If susan is both not generous and strong then mary is not tall and vice versa. Everyone who is not happy or patient is both curious and not creative. If john is not ... | Mary is not rich. | contradiction | ((?[X]:((kind(X)<~>~strong(X))))=>(?[X]:((~funny(X)|~kind(X)))))&
(((kind(susan)<~>creative(susan)))=>((happy(fred)<~>~quiet(fred))))&
(((~generous(susan)&strong(susan)))<=>(~tall(mary)))&
(![X]:((~happy(X)|patient(X))=>(curious(X)&~creative(X))))&
((~strong(john))=>((~old(lucy)|~generous(lucy))))&
(![X]:(happy(X)<=>(~... | ~rich(mary) | [
"p3",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 14589684085951468133316
% SZS output start Proof for 14589684085951468133316
4. ! [X0] : ((patient(X0) | ~happy(X0)) => (~creative(X0) & curious(X0))) [input p3]
9. ? [X0] : (~quiet(X0) | ~strong(X0)) => ? [X0] : (patient(X0) & ~funny(X0)) [input p8]
10. ! [X0] : ((kind(X0) | ~tall(X0)) <... | 0 |
If someone is not calm or not brave then fred is both patient and not funny.
If someone is wise then lucy is both happy and not patient and vice versa.
Everyone who is creative or not humble is both funny and rich and vice versa.
Everyone who is strong or funny is both calm and funny and vice versa.
If fred is both bra... | Paul is wise. | contradiction | ((?[X]:((~calm(X)|~brave(X))))=>((patient(fred)&~funny(fred))))&
((?[X]:(wise(X)))<=>((happy(lucy)&~patient(lucy))))&
(![X]:((creative(X)|~humble(X))<=>(funny(X)&rich(X))))&
(![X]:((strong(X)|funny(X))<=>(calm(X)&funny(X))))&
(((brave(fred)&tall(fred)))<=>(?[X]:(curious(X))))&
((brave(alice))<=>(curious(paul)))&
(![X]:... | wise(paul) | [
"p1",
"p2",
"p4",
"p7",
"p9",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3429284206021290450733628
% SZS output start Proof for 3429284206021290450733628
2. ? [X0] : wise(X0) <=> (~patient(lucy) & happy(lucy)) [input p1]
3. ! [X0] : ((~humble(X0) | creative(X0)) <=> (rich(X0) & funny(X0))) [input p2]
5. (tall(fred) & brave(fred)) <=> ? [X0] : curious(X0) [inpu... | 0 |
If someone is tall or not strong then someone is not humble or calm. Everyone who is both curious and funny is either not quiet or patient. Everyone who is tall or not humble is either rich or funny. If someone is curious then susan is both kind and humble and vice versa. If mary is not strong then paul is either not h... | Alice is funny. | contradiction | ((?[X]:((tall(X)|~strong(X))))=>(?[X]:((~humble(X)|calm(X)))))&
(![X]:((curious(X)&funny(X))=>(~quiet(X)<~>patient(X))))&
(![X]:((tall(X)|~humble(X))=>(rich(X)<~>funny(X))))&
((?[X]:(curious(X)))<=>((kind(susan)&humble(susan))))&
((~strong(mary))<=>((~happy(paul)<~>wise(paul))))&
((?[X]:((humble(X)|~generous(X))))=>(?[... | funny(alice) | [
"p2",
"p6",
"p7",
"p14",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4650754820255941092636840
% SZS output start Proof for 4650754820255941092636840
3. ! [X0] : ((~humble(X0) | tall(X0)) => (rich(X0) <~> funny(X0))) [input p2]
7. ! [X0] : (~quiet(X0) <=> (strong(X0) & creative(X0))) [input p6]
8. ! [X0] : ((~brave(X0) | ~rich(X0)) => (~quiet(X0) <~> brave... | 0 |
Everyone who is strong or not rich is calm or creative and vice versa. If alice is not brave then alice is both humble and strong. If susan is both rich and not old then alice is both not old and not calm and vice versa. Everyone who is generous or not creative is creative. Everyone who is happy or strong is either not... | Alice is quiet. | neutral | (![X]:((strong(X)|~rich(X))<=>(calm(X)|creative(X))))&
((~brave(alice))=>((humble(alice)&strong(alice))))&
(((rich(susan)&~old(susan)))<=>((~old(alice)&~calm(alice))))&
(![X]:((generous(X)|~creative(X))=>creative(X)))&
(![X]:((happy(X)|strong(X))<=>(~calm(X)<~>~tall(X))))&
(![X]:((curious(X)&strong(X))=>(tall(X)&curiou... | quiet(alice) | [] | null | 0 |
If paul is not tall or not strong then fred is patient or curious and vice versa.
If someone is creative then someone is both wise and not funny.
Everyone who is not quiet is both happy and brave.
Everyone who is not rich is either generous or not rich.
Everyone who is not strong is patient or funny.
Everyone who is no... | Fred is not strong. | entailment | (((~tall(paul)|~strong(paul)))<=>((patient(fred)|curious(fred))))&
((?[X]:(creative(X)))=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:(~quiet(X)=>(happy(X)&brave(X))))&
(![X]:(~rich(X)=>(generous(X)<~>~rich(X))))&
(![X]:(~strong(X)=>(patient(X)|funny(X))))&
(![X]:((~kind(X)|~tall(X))=>(happy(X)<~>generous(X))))&
(((~generous(... | ~strong(fred) | [
"p2",
"p6",
"p10",
"p12",
"p13",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4744135274567040978190577
% SZS output start Proof for 4744135274567040978190577
3. ! [X0] : (~quiet(X0) => (brave(X0) & happy(X0))) [input p2]
7. (~generous(fred) <~> quiet(fred)) <=> ? [X0] : (happy(X0) | ~calm(X0)) [input p6]
11. ! [X0] : (strong(X0) <=> (patient(X0) <~> ~generous(X0))... | 0 |
Everyone who is not quiet or not patient is both funny and wise and vice versa. Everyone who is not brave or happy is either not brave or funny. Everyone who is not curious is humble or creative and vice versa. Everyone who is either creative or kind is either patient or not brave and vice versa. Everyone who is either... | Mary is happy. | entailment | (![X]:((~quiet(X)|~patient(X))<=>(funny(X)&wise(X))))&
(![X]:((~brave(X)|happy(X))=>(~brave(X)<~>funny(X))))&
(![X]:(~curious(X)<=>(humble(X)|creative(X))))&
(![X]:((creative(X)<~>kind(X))<=>(patient(X)<~>~brave(X))))&
(![X]:((~tall(X)<~>~old(X))<=>(~brave(X)|~calm(X))))&
(![X]:(calm(X)=>generous(X)))&
((?[X]:(~creativ... | happy(mary) | [
"p0",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8377296939808318125810982
% SZS output start Proof for 8377296939808318125810982
1. ! [X0] : ((~patient(X0) | ~quiet(X0)) <=> (wise(X0) & funny(X0))) [input p0]
16. ? [X0] : (~happy(X0) | wise(X0)) => (~wise(alice) & ~quiet(alice)) [input p15]
25. ~happy(mary) [input hypothesis]
35. (~wis... | 0 |
If susan is either brave or tall then someone is both not wise and not funny and vice versa. Everyone who is both quiet and not generous is both not kind and creative. If alice is both old and tall then someone is either curious or quiet and vice versa. Everyone who is generous or not happy is humble and vice versa. If... | Lucy is creative. | entailment | (((brave(susan)<~>tall(susan)))<=>(?[X]:((~wise(X)&~funny(X)))))&
(![X]:((quiet(X)&~generous(X))=>(~kind(X)&creative(X))))&
(((old(alice)&tall(alice)))<=>(?[X]:((curious(X)<~>quiet(X)))))&
(![X]:((generous(X)|~happy(X))<=>humble(X)))&
(((~patient(mary)<~>~curious(mary)))=>(?[X]:((creative(X)&kind(X)))))&
((~humble(lucy... | creative(lucy) | [
"p1",
"p3",
"p5",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4437554354788853546372344
% SZS output start Proof for 4437554354788853546372344
2. ! [X0] : ((~generous(X0) & quiet(X0)) => (creative(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((~happy(X0) | generous(X0)) <=> humble(X0)) [input p3]
6. ~humble(lucy) <=> ? [X0] : (~curious(X0) | brave(X0)) ... | 0 |
If lucy is either wise or not funny then lucy is quiet or not happy and vice versa.
If paul is curious or brave then someone is humble.
Everyone who is both wise and not humble is both calm and wise.
Everyone who is both old and not funny is both funny and strong and vice versa.
Everyone who is kind is both funny and n... | Susan is not happy. | entailment | (((wise(lucy)<~>~funny(lucy)))<=>((quiet(lucy)|~happy(lucy))))&
(((curious(paul)|brave(paul)))=>(?[X]:(humble(X))))&
(![X]:((wise(X)&~humble(X))=>(calm(X)&wise(X))))&
(![X]:((old(X)&~funny(X))<=>(funny(X)&strong(X))))&
(![X]:(kind(X)=>(funny(X)&~strong(X))))&
(![X]:((rich(X)&~curious(X))<=>(~creative(X)&creative(X))))&... | ~happy(susan) | [
"p4",
"p6",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5115289277266629008142821
% SZS output start Proof for 5115289277266629008142821
5. ! [X0] : (kind(X0) => (~strong(X0) & funny(X0))) [input p4]
7. ! [X0] : ((~happy(X0) & ~tall(X0)) <=> ~kind(X0)) [input p6]
8. ? [X0] : (generous(X0) | ~patient(X0)) => ? [X0] : (~funny(X0) & ~strong(X0)) ... | 0 |
Everyone who is either tall or humble is both not rich and not kind.
Everyone who is either quiet or wise is both not brave and not tall and vice versa.
If someone is either tall or not tall then fred is both not old and not brave.
If mary is both not creative and tall then someone is not strong.
Everyone who is both k... | Mary is not strong. | contradiction | (![X]:((tall(X)<~>humble(X))=>(~rich(X)&~kind(X))))&
(![X]:((quiet(X)<~>wise(X))<=>(~brave(X)&~tall(X))))&
((?[X]:((tall(X)<~>~tall(X))))=>((~old(fred)&~brave(fred))))&
(((~creative(mary)&tall(mary)))=>(?[X]:(~strong(X))))&
(![X]:((kind(X)&~calm(X))<=>(~brave(X)|patient(X))))&
(![X]:((~rich(X)<~>~tall(X))<=>(strong(X)|... | ~strong(mary) | [
"p1",
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7785883420470707322578676
% SZS output start Proof for 7785883420470707322578676
2. ! [X0] : ((quiet(X0) <~> wise(X0)) <=> (~tall(X0) & ~brave(X0))) [input p1]
7. ! [X0] : ((~tall(X0) <~> wise(X0)) <=> (~strong(X0) & ~quiet(X0))) [input p6]
17. calm(mary) & tall(mary) [input p16]
25. ~str... | 0 |
If paul is not funny or brave then someone is both not brave and tall and vice versa. If alice is both strong and rich then lucy is both not curious and not quiet and vice versa. If fred is not calm then someone is not brave or not happy. If paul is creative or not rich then lucy is either not creative or not generous ... | Susan is not creative. | neutral | (((~funny(paul)|brave(paul)))<=>(?[X]:((~brave(X)&tall(X)))))&
(((strong(alice)&rich(alice)))<=>((~curious(lucy)&~quiet(lucy))))&
((~calm(fred))=>(?[X]:((~brave(X)|~happy(X)))))&
(((creative(paul)|~rich(paul)))<=>((~creative(lucy)<~>~generous(lucy))))&
(((~curious(alice)&~patient(alice)))<=>((kind(susan)&~creative(susa... | ~creative(susan) | [] | null | 0 |
Everyone who is strong is not tall or not kind and vice versa.
If someone is not quiet then someone is either not creative or not quiet.
Everyone who is tall or not funny is both brave and not generous and vice versa.
If lucy is both not strong and not quiet then someone is not kind and vice versa.
If someone is not st... | Mary is not generous. | contradiction | (![X]:(strong(X)<=>(~tall(X)|~kind(X))))&
((?[X]:(~quiet(X)))=>(?[X]:((~creative(X)<~>~quiet(X)))))&
(![X]:((tall(X)|~funny(X))<=>(brave(X)&~generous(X))))&
(((~strong(lucy)&~quiet(lucy)))<=>(?[X]:(~kind(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
((~funny(mary))=>((strong(fred)&tall(fred))))&
(![X]... | ~generous(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4247579315353124482818173
% SZS output start Proof for 4247579315353124482818173
7. ! [X0] : ((~patient(X0) | patient(X0)) => (generous(X0) & ~old(X0))) [input p6]
20. ~generous(mary) [input hypothesis]
28. ! [X0] : ((generous(X0) & ~old(X0)) | (patient(X0) & ~patient(X0))) [ennf transfor... | 0 |
If susan is both not funny and generous then susan is both not humble and not rich and vice versa.
Everyone who is not strong or funny is either not curious or not wise.
If someone is both not generous and humble then someone is either funny or not old and vice versa.
Everyone who is tall or not wise is quiet or not hu... | Alice is not curious. | entailment | (((~funny(susan)&generous(susan)))<=>((~humble(susan)&~rich(susan))))&
(![X]:((~strong(X)|funny(X))=>(~curious(X)<~>~wise(X))))&
((?[X]:((~generous(X)&humble(X))))<=>(?[X]:((funny(X)<~>~old(X)))))&
(![X]:((tall(X)|~wise(X))<=>(quiet(X)|~humble(X))))&
(![X]:((curious(X)<~>wise(X))<=>~funny(X)))&
(![X]:((patient(X)&~tall... | ~curious(alice) | [
"p1",
"p4",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7552589034074084477642002
% SZS output start Proof for 7552589034074084477642002
2. ! [X0] : ((funny(X0) | ~strong(X0)) => (~curious(X0) <~> ~wise(X0))) [input p1]
5. ! [X0] : ((curious(X0) <~> wise(X0)) <=> ~funny(X0)) [input p4]
10. ? [X0] : kind(X0) => (wise(alice) & ~old(alice)) [inpu... | 0 |
If someone is either brave or patient then susan is not patient and vice versa.
Everyone who is either not strong or not patient is both rich and curious and vice versa.
Everyone who is both strong and not kind is funny and vice versa.
Everyone who is not curious is either not brave or not rich and vice versa.
Everyone... | Fred is not quiet. | neutral | ((?[X]:((brave(X)<~>patient(X))))<=>(~patient(susan)))&
(![X]:((~strong(X)<~>~patient(X))<=>(rich(X)&curious(X))))&
(![X]:((strong(X)&~kind(X))<=>funny(X)))&
(![X]:(~curious(X)<=>(~brave(X)<~>~rich(X))))&
(![X]:((humble(X)&brave(X))=>(generous(X)&kind(X))))&
(![X]:((~funny(X)&generous(X))=>(wise(X)<~>~curious(X))))&
((... | ~quiet(fred) | [] | null | 0 |
Everyone who is both funny and not creative is either tall or generous. If paul is either brave or not generous then john is not creative and vice versa. Everyone who is either not brave or not funny is not humble and vice versa. Everyone who is either curious or creative is both not quiet and curious and vice versa. E... | Lucy is tall. | neutral | (![X]:((funny(X)&~creative(X))=>(tall(X)<~>generous(X))))&
(((brave(paul)<~>~generous(paul)))<=>(~creative(john)))&
(![X]:((~brave(X)<~>~funny(X))<=>~humble(X)))&
(![X]:((curious(X)<~>creative(X))<=>(~quiet(X)&curious(X))))&
(![X]:(~curious(X)<=>(~old(X)|brave(X))))&
((?[X]:((quiet(X)<~>creative(X))))=>((~quiet(lucy)&~... | tall(lucy) | [] | null | 0 |
Everyone who is not rich is either not old or rich and vice versa. Everyone who is either patient or not old is not curious or old and vice versa. If someone is not strong then john is not rich and vice versa. Everyone who is not kind is either not quiet or not kind and vice versa. Everyone who is either generous or fu... | John is brave. | neutral | (![X]:(~rich(X)<=>(~old(X)<~>rich(X))))&
(![X]:((patient(X)<~>~old(X))<=>(~curious(X)|old(X))))&
((?[X]:(~strong(X)))<=>(~rich(john)))&
(![X]:(~kind(X)<=>(~quiet(X)<~>~kind(X))))&
(![X]:((generous(X)<~>funny(X))=>(~brave(X)&~rich(X))))&
((~rich(alice))=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((funny(X)<~>~curious(X))... | brave(john) | [] | null | 0 |
If someone is quiet or old then someone is both wise and old and vice versa.
Everyone who is either curious or happy is kind or not humble.
If someone is both humble and not happy then someone is not tall and vice versa.
If john is either not happy or strong then john is curious or brave.
Everyone who is either not fun... | Mary is calm. | entailment | ((?[X]:((quiet(X)|old(X))))<=>(?[X]:((wise(X)&old(X)))))&
(![X]:((curious(X)<~>happy(X))=>(kind(X)|~humble(X))))&
((?[X]:((humble(X)&~happy(X))))<=>(?[X]:(~tall(X))))&
(((~happy(john)<~>strong(john)))=>((curious(john)|brave(john))))&
(![X]:((~funny(X)<~>~tall(X))=>happy(X)))&
(![X]:((generous(X)<~>~generous(X))<=>(~cur... | calm(mary) | [
"p0",
"p7",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3483490109812512669761426
% SZS output start Proof for 3483490109812512669761426
1. ? [X0] : (old(X0) | quiet(X0)) <=> ? [X0] : (old(X0) & wise(X0)) [input p0]
8. ! [X0] : ((old(X0) & strong(X0)) <=> kind(X0)) [input p7]
11. ! [X0] : ((wise(X0) | ~calm(X0)) <=> happy(X0)) [input p10]
12. ... | 0 |
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