premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not humble or not quiet is old and vice versa.
Everyone who is not creative or not humble is either not kind or not brave and vice versa.
Everyone who is both not wise and not calm is creative or not tall and vice versa.
If alice is either not patient or not calm then someone is either not tall or not h... | Susan is not generous. | neutral | (![X]:((~humble(X)|~quiet(X))<=>old(X)))&
(![X]:((~creative(X)|~humble(X))<=>(~kind(X)<~>~brave(X))))&
(![X]:((~wise(X)&~calm(X))<=>(creative(X)|~tall(X))))&
(((~patient(alice)<~>~calm(alice)))<=>(?[X]:((~tall(X)<~>~humble(X)))))&
((?[X]:((~curious(X)&~tall(X))))<=>(?[X]:(~strong(X))))&
(![X]:((strong(X)<~>creative(X))... | ~generous(susan) | [] | null | 0 |
If paul is wise then alice is either creative or not generous and vice versa.
Everyone who is either not old or not creative is either not calm or calm and vice versa.
Everyone who is rich is either not quiet or creative.
If someone is not curious or tall then fred is not old or not curious.
If lucy is not curious then... | Mary is old. | entailment | ((wise(paul))<=>((creative(alice)<~>~generous(alice))))&
(![X]:((~old(X)<~>~creative(X))<=>(~calm(X)<~>calm(X))))&
(![X]:(rich(X)=>(~quiet(X)<~>creative(X))))&
((?[X]:((~curious(X)|tall(X))))=>((~old(fred)|~curious(fred))))&
((~curious(lucy))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X]:((creative(X)|~happy(X))))<=>((b... | old(mary) | [
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 682650296711716227543733
% SZS output start Proof for 682650296711716227543733
12. ! [X0] : ((happy(X0) | ~old(X0)) => ~tall(X0)) [input p11]
17. ~old(mary) <~> ~tall(mary) [input p16]
21. ~old(mary) [input hypothesis]
29. ! [X0] : (~tall(X0) | (~happy(X0) & old(X0))) [ennf transformation... | 0 |
Everyone who is either not generous or not creative is not quiet and vice versa.
Everyone who is both not tall and humble is generous or calm.
Everyone who is not kind or old is either not rich or curious.
Everyone who is happy is either not strong or curious and vice versa.
Everyone who is not curious or kind is eithe... | Lucy is not wise. | contradiction | (![X]:((~generous(X)<~>~creative(X))<=>~quiet(X)))&
(![X]:((~tall(X)&humble(X))=>(generous(X)|calm(X))))&
(![X]:((~kind(X)|old(X))=>(~rich(X)<~>curious(X))))&
(![X]:(happy(X)<=>(~strong(X)<~>curious(X))))&
(![X]:((~curious(X)|kind(X))=>(~patient(X)<~>~rich(X))))&
(![X]:(strong(X)<=>(~funny(X)&wise(X))))&
((?[X]:((creat... | ~wise(lucy) | [
"p3",
"p4",
"p5",
"p10",
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3132065756652867187203776
% SZS output start Proof for 3132065756652867187203776
4. ! [X0] : (happy(X0) <=> (~strong(X0) <~> curious(X0))) [input p3]
5. ! [X0] : ((kind(X0) | ~curious(X0)) => (~patient(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : (strong(X0) <=> (wise(X0) & ~funny(X0))) [in... | 0 |
Everyone who is not old or tall is quiet and vice versa. If someone is either calm or not curious then someone is not happy or strong and vice versa. If mary is not calm then someone is happy or patient. Everyone who is calm is either not wise or not calm and vice versa. Everyone who is strong or calm is either not fun... | Mary is not calm. | neutral | (![X]:((~old(X)|tall(X))<=>quiet(X)))&
((?[X]:((calm(X)<~>~curious(X))))<=>(?[X]:((~happy(X)|strong(X)))))&
((~calm(mary))=>(?[X]:((happy(X)|patient(X)))))&
(![X]:(calm(X)<=>(~wise(X)<~>~calm(X))))&
(![X]:((strong(X)|calm(X))=>(~funny(X)<~>old(X))))&
(![X]:((~rich(X)<~>tall(X))=>tall(X)))&
(![X]:(~generous(X)<=>(funny(... | ~calm(mary) | [] | null | 0 |
If alice is either not brave or not patient then alice is not quiet or not generous and vice versa.
Everyone who is either not curious or strong is not old.
If someone is either not funny or not generous then someone is not curious or old and vice versa.
Everyone who is not creative is humble and vice versa.
Everyone w... | Susan is tall. | contradiction | (((~brave(alice)<~>~patient(alice)))<=>((~quiet(alice)|~generous(alice))))&
(![X]:((~curious(X)<~>strong(X))=>~old(X)))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:((~curious(X)|old(X)))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:((~quiet(X)&~rich(X))=>(strong(X)|rich(X))))&
(![X]:((~wise(X)&brave(X))<=>~kind(X)))&
... | tall(susan) | [
"p3",
"p6",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7384785290526668164101281
% SZS output start Proof for 7384785290526668164101281
4. ! [X0] : (~creative(X0) <=> humble(X0)) [input p3]
7. ? [X0] : (patient(X0) <~> creative(X0)) => ? [X0] : (~funny(X0) & funny(X0)) [input p6]
8. ! [X0] : ((humble(X0) | ~tall(X0)) <=> patient(X0)) [input p... | 0 |
Everyone who is both not funny and strong is either patient or kind. Everyone who is both funny and happy is strong or happy and vice versa. If someone is both funny and patient then paul is old. Everyone who is not tall is both not calm and not happy. If someone is either strong or not patient then someone is either n... | Alice is happy. | contradiction | (![X]:((~funny(X)&strong(X))=>(patient(X)<~>kind(X))))&
(![X]:((funny(X)&happy(X))<=>(strong(X)|happy(X))))&
((?[X]:((funny(X)&patient(X))))=>(old(paul)))&
(![X]:(~tall(X)=>(~calm(X)&~happy(X))))&
((?[X]:((strong(X)<~>~patient(X))))=>(?[X]:((~tall(X)<~>humble(X)))))&
(![X]:((~creative(X)|old(X))<=>(curious(X)|~wise(X))... | happy(alice) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 792458553246079229172940
% SZS output start Proof for 792458553246079229172940
10. ! [X0] : ((curious(X0) <~> ~happy(X0)) <=> calm(X0)) [input p9]
12. ! [X0] : (~calm(X0) <=> curious(X0)) [input p11]
25. happy(alice) [input hypothesis]
54. ! [X0] : ((((happy(X0) | ~curious(X0)) & (~happy(... | 0 |
Everyone who is both calm and not humble is either rich or not kind and vice versa.
Everyone who is generous is not calm or wise and vice versa.
If paul is patient then someone is both not kind and not quiet.
Everyone who is brave is both rich and creative.
If mary is either not happy or not generous then someone is no... | Fred is not happy. | neutral | (![X]:((calm(X)&~humble(X))<=>(rich(X)<~>~kind(X))))&
(![X]:(generous(X)<=>(~calm(X)|wise(X))))&
((patient(paul))=>(?[X]:((~kind(X)&~quiet(X)))))&
(![X]:(brave(X)=>(rich(X)&creative(X))))&
(((~happy(mary)<~>~generous(mary)))=>(?[X]:(~patient(X))))&
(![X]:(~funny(X)=>strong(X)))&
(![X]:((~humble(X)&~strong(X))<=>~calm(X... | ~happy(fred) | [] | null | 0 |
Everyone who is either not brave or not curious is not happy or not tall and vice versa. Everyone who is calm is not creative or strong and vice versa. Everyone who is both creative and brave is tall or not old and vice versa. Everyone who is both not generous and not funny is rich or not wise. Everyone who is kind or ... | Fred is tall. | contradiction | (![X]:((~brave(X)<~>~curious(X))<=>(~happy(X)|~tall(X))))&
(![X]:(calm(X)<=>(~creative(X)|strong(X))))&
(![X]:((creative(X)&brave(X))<=>(tall(X)|~old(X))))&
(![X]:((~generous(X)&~funny(X))=>(rich(X)|~wise(X))))&
(![X]:((kind(X)|humble(X))<=>~wise(X)))&
(![X]:((~creative(X)<~>~strong(X))<=>strong(X)))&
((~calm(john))=>(... | tall(fred) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 8565343850359257945700742
% SZS output start Proof for 8565343850359257945700742
3. ! [X0] : ((brave(X0) & creative(X0)) <=> (~old(X0) | tall(X0))) [input p2]
6. ! [X0] : ((~creative(X0) <~> ~strong(X0)) <=> strong(X0)) [input p5]
20. tall(fred) [input hypothesis]
32. ! [X0] : (((brave(X0... | 0 |
Everyone who is both creative and not brave is not calm.
Everyone who is both not happy and generous is patient.
If someone is wise or creative then alice is both patient and not calm.
Everyone who is not strong is both not generous and not kind and vice versa.
Everyone who is not strong or not happy is both rich and n... | Susan is quiet. | neutral | (![X]:((creative(X)&~brave(X))=>~calm(X)))&
(![X]:((~happy(X)&generous(X))=>patient(X)))&
((?[X]:((wise(X)|creative(X))))=>((patient(alice)&~calm(alice))))&
(![X]:(~strong(X)<=>(~generous(X)&~kind(X))))&
(![X]:((~strong(X)|~happy(X))=>(rich(X)&~curious(X))))&
(![X]:((~kind(X)|~patient(X))<=>(calm(X)|wise(X))))&
(![X]:(... | quiet(susan) | [] | null | 0 |
If someone is either calm or kind then susan is not kind or brave and vice versa.
If paul is curious or old then paul is tall or not generous.
If alice is both not wise and calm then alice is either not tall or not quiet and vice versa.
Everyone who is both not rich and generous is both not old and not brave and vice v... | Alice is not wise. | entailment | ((?[X]:((calm(X)<~>kind(X))))<=>((~kind(susan)|brave(susan))))&
(((curious(paul)|old(paul)))=>((tall(paul)|~generous(paul))))&
(((~wise(alice)&calm(alice)))<=>((~tall(alice)<~>~quiet(alice))))&
(![X]:((~rich(X)&generous(X))<=>(~old(X)&~brave(X))))&
(((~rich(lucy)|tall(lucy)))=>((creative(fred)&~tall(fred))))&
(((~humbl... | ~wise(alice) | [
"p2",
"p3",
"p7",
"p8",
"p9",
"p10",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5347447732844224493536026
% SZS output start Proof for 5347447732844224493536026
3. (calm(alice) & ~wise(alice)) <=> (~tall(alice) <~> ~quiet(alice)) [input p2]
4. ! [X0] : ((generous(X0) & ~rich(X0)) <=> (~brave(X0) & ~old(X0))) [input p3]
8. ! [X0] : ((funny(X0) <~> tall(X0)) <=> (brave... | 0 |
Everyone who is not curious is both wise and not generous and vice versa.
If someone is not kind or not strong then paul is not creative.
Everyone who is not creative or not old is both not humble and not creative and vice versa.
If someone is patient or kind then lucy is both curious and not quiet and vice versa.
If f... | Lucy is patient. | contradiction | (![X]:(~curious(X)<=>(wise(X)&~generous(X))))&
((?[X]:((~kind(X)|~strong(X))))=>(~creative(paul)))&
(![X]:((~creative(X)|~old(X))<=>(~humble(X)&~creative(X))))&
((?[X]:((patient(X)|kind(X))))<=>((curious(lucy)&~quiet(lucy))))&
(((funny(fred)<~>calm(fred)))<=>((~rich(lucy)<~>curious(lucy))))&
((?[X]:((~happy(X)&creative... | patient(lucy) | [
"p1",
"p3",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7789379960508523431119217
% SZS output start Proof for 7789379960508523431119217
2. ? [X0] : (~strong(X0) | ~kind(X0)) => ~creative(paul) [input p1]
4. ? [X0] : (kind(X0) | patient(X0)) <=> (~quiet(lucy) & curious(lucy)) [input p3]
16. ! [X0] : ((~quiet(X0) | creative(X0)) <=> (~tall(X0) ... | 0 |
If someone is both not patient and creative then susan is quiet and vice versa. Everyone who is both generous and not generous is kind or not generous and vice versa. Everyone who is not generous or calm is strong or old. If someone is not quiet or not brave then john is not brave or quiet and vice versa. If paul is qu... | John is humble. | neutral | ((?[X]:((~patient(X)&creative(X))))<=>(quiet(susan)))&
(![X]:((generous(X)&~generous(X))<=>(kind(X)|~generous(X))))&
(![X]:((~generous(X)|calm(X))=>(strong(X)|old(X))))&
((?[X]:((~quiet(X)|~brave(X))))<=>((~brave(john)|quiet(john))))&
(((quiet(paul)|wise(paul)))<=>(?[X]:((~brave(X)|happy(X)))))&
(![X]:(creative(X)=>(ca... | humble(john) | [] | null | 0 |
Everyone who is not old is either funny or kind. Everyone who is both wise and curious is not curious. Everyone who is not brave or not old is either kind or strong and vice versa. Everyone who is both not calm and not kind is either not patient or not happy and vice versa. If paul is either not creative or not old the... | Fred is kind. | neutral | (![X]:(~old(X)=>(funny(X)<~>kind(X))))&
(![X]:((wise(X)&curious(X))=>~curious(X)))&
(![X]:((~brave(X)|~old(X))<=>(kind(X)<~>strong(X))))&
(![X]:((~calm(X)&~kind(X))<=>(~patient(X)<~>~happy(X))))&
(((~creative(paul)<~>~old(paul)))=>(?[X]:((rich(X)&~calm(X)))))&
(![X]:(~strong(X)<=>(~generous(X)&tall(X))))&
(((~old(lucy)... | kind(fred) | [] | null | 0 |
If john is both calm and not strong then someone is either not curious or tall and vice versa.
Everyone who is either creative or not quiet is quiet or not quiet.
If someone is tall then john is wise.
If someone is happy then someone is not generous.
If alice is not humble then someone is either not rich or strong.
If ... | Paul is wise. | neutral | (((calm(john)&~strong(john)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:((creative(X)<~>~quiet(X))=>(quiet(X)|~quiet(X))))&
((?[X]:(tall(X)))=>(wise(john)))&
((?[X]:(happy(X)))=>(?[X]:(~generous(X))))&
((~humble(alice))=>(?[X]:((~rich(X)<~>strong(X)))))&
((?[X]:(~wise(X)))<=>((~creative(alice)<~>creative(alice))))&
(!... | wise(paul) | [] | null | 0 |
Everyone who is both tall and not kind is not funny and vice versa. Everyone who is either not curious or not brave is funny or calm and vice versa. Everyone who is either not calm or not wise is not creative or brave and vice versa. Everyone who is humble or funny is both not strong and not funny. Everyone who is eith... | Paul is not kind. | entailment | (![X]:((tall(X)&~kind(X))<=>~funny(X)))&
(![X]:((~curious(X)<~>~brave(X))<=>(funny(X)|calm(X))))&
(![X]:((~calm(X)<~>~wise(X))<=>(~creative(X)|brave(X))))&
(![X]:((humble(X)|funny(X))=>(~strong(X)&~funny(X))))&
(![X]:((funny(X)<~>~happy(X))=>(~rich(X)|~patient(X))))&
(![X]:((~curious(X)|strong(X))<=>wise(X)))&
(![X]:((... | ~kind(paul) | [
"p0",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 595466072887343634951734
% SZS output start Proof for 595466072887343634951734
1. ! [X0] : ((~kind(X0) & tall(X0)) <=> ~funny(X0)) [input p0]
4. ! [X0] : ((funny(X0) | humble(X0)) => (~funny(X0) & ~strong(X0))) [input p3]
22. kind(paul) [input hypothesis]
25. ! [X0] : ((~funny(X0) & ~stro... | 0 |
Everyone who is either not brave or not wise is both happy and not patient and vice versa. Everyone who is not happy or not tall is both rich and not strong and vice versa. If someone is both kind and not brave then someone is not funny or old and vice versa. Everyone who is not generous or not happy is both happy and ... | Paul is not old. | entailment | (![X]:((~brave(X)<~>~wise(X))<=>(happy(X)&~patient(X))))&
(![X]:((~happy(X)|~tall(X))<=>(rich(X)&~strong(X))))&
((?[X]:((kind(X)&~brave(X))))<=>(?[X]:((~funny(X)|old(X)))))&
(![X]:((~generous(X)|~happy(X))=>(happy(X)&~rich(X))))&
(![X]:((~strong(X)&old(X))=>(brave(X)|patient(X))))&
(((rich(alice)<~>old(alice)))<=>((pat... | ~old(paul) | [
"p0",
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2933947676467158563980694
% SZS output start Proof for 2933947676467158563980694
1. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (~patient(X0) & happy(X0))) [input p0]
3. ? [X0] : (~brave(X0) & kind(X0)) <=> ? [X0] : (old(X0) | ~funny(X0)) [input p2]
8. ! [X0] : ((~patient(X0) <~> humble(X0))... | 0 |
Everyone who is rich or curious is not funny.
If paul is not tall or not rich then someone is either tall or kind and vice versa.
Everyone who is either not curious or humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humb... | Susan is generous. | neutral | (![X]:((rich(X)|curious(X))=>~funny(X)))&
(((~tall(paul)|~rich(paul)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
... | generous(susan) | [] | null | 0 |
Everyone who is either tall or not creative is either not funny or strong.
If paul is not humble or tall then someone is quiet.
Everyone who is not brave or not calm is both not tall and calm and vice versa.
Everyone who is both not tall and not brave is both not curious and not creative and vice versa.
If susan is eit... | Susan is not quiet. | contradiction | (![X]:((tall(X)<~>~creative(X))=>(~funny(X)<~>strong(X))))&
(((~humble(paul)|tall(paul)))=>(?[X]:(quiet(X))))&
(![X]:((~brave(X)|~calm(X))<=>(~tall(X)&calm(X))))&
(![X]:((~tall(X)&~brave(X))<=>(~curious(X)&~creative(X))))&
(((rich(susan)<~>~patient(susan)))=>(?[X]:((~funny(X)<~>quiet(X)))))&
((?[X]:((~creative(X)&calm(... | ~quiet(susan) | [
"p2",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6033115059107189306428135
% SZS output start Proof for 6033115059107189306428135
3. ! [X0] : ((~calm(X0) | ~brave(X0)) <=> (calm(X0) & ~tall(X0))) [input p2]
15. ! [X0] : ((happy(X0) & ~calm(X0)) <=> ~quiet(X0)) [input p14]
24. ~quiet(susan) [input hypothesis]
40. ! [X0] : (((~calm(X0) | ... | 0 |
Everyone who is either not humble or old is not creative.
Everyone who is both humble and not patient is either not strong or old and vice versa.
Everyone who is either not brave or not wise is either happy or not calm and vice versa.
Everyone who is quiet or not creative is either curious or brave.
Everyone who is eit... | Alice is not kind. | entailment | (![X]:((~humble(X)<~>old(X))=>~creative(X)))&
(![X]:((humble(X)&~patient(X))<=>(~strong(X)<~>old(X))))&
(![X]:((~brave(X)<~>~wise(X))<=>(happy(X)<~>~calm(X))))&
(![X]:((quiet(X)|~creative(X))=>(curious(X)<~>brave(X))))&
(![X]:((~old(X)<~>happy(X))=>~old(X)))&
(![X]:((happy(X)&~quiet(X))=>(~curious(X)|funny(X))))&
(![X]... | ~kind(alice) | [
"p1",
"p7",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8824803116642721940984803
% SZS output start Proof for 8824803116642721940984803
2. ! [X0] : ((~patient(X0) & humble(X0)) <=> (~strong(X0) <~> old(X0))) [input p1]
8. ! [X0] : (patient(X0) => (rich(X0) & happy(X0))) [input p7]
11. ? [X0] : (~old(X0) <~> ~kind(X0)) => (humble(alice) & stro... | 0 |
Everyone who is kind is both not funny and strong. Everyone who is either not curious or not creative is either not curious or wise. Everyone who is not strong is either not tall or not wise and vice versa. If someone is not wise or not old then paul is quiet or brave. If someone is old or curious then mary is either n... | Mary is generous. | entailment | (![X]:(kind(X)=>(~funny(X)&strong(X))))&
(![X]:((~curious(X)<~>~creative(X))=>(~curious(X)<~>wise(X))))&
(![X]:(~strong(X)<=>(~tall(X)<~>~wise(X))))&
((?[X]:((~wise(X)|~old(X))))=>((quiet(paul)|brave(paul))))&
((?[X]:((old(X)|curious(X))))<=>((~calm(mary)<~>old(mary))))&
(((~kind(susan)<~>calm(susan)))<=>(?[X]:((tall(X... | generous(mary) | [
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3056976117370048090263637
% SZS output start Proof for 3056976117370048090263637
15. ! [X0] : (~strong(X0) => generous(X0)) [input p14]
16. (calm(susan) & ~calm(susan)) <=> ? [X0] : strong(X0) [input p15]
24. ~generous(mary) [input hypothesis]
36. ! [X0] : (generous(X0) | strong(X0)) [enn... | 0 |
Everyone who is not rich or quiet is quiet. If someone is either happy or humble then someone is both tall and not wise. If alice is both curious and not humble then someone is either brave or not strong. If fred is both not brave and wise then john is calm. Everyone who is either curious or not old is not happy or cal... | John is calm. | neutral | (![X]:((~rich(X)|quiet(X))=>quiet(X)))&
((?[X]:((happy(X)<~>humble(X))))=>(?[X]:((tall(X)&~wise(X)))))&
(((curious(alice)&~humble(alice)))=>(?[X]:((brave(X)<~>~strong(X)))))&
(((~brave(fred)&wise(fred)))=>(calm(john)))&
(![X]:((curious(X)<~>~old(X))=>(~happy(X)|calm(X))))&
(![X]:((creative(X)|~humble(X))<=>(~generous(X... | calm(john) | [] | null | 0 |
Everyone who is curious is not generous and vice versa.
Everyone who is both old and not kind is not humble or generous and vice versa.
If paul is both humble and quiet then paul is either not funny or patient.
Everyone who is quiet is either not patient or rich.
If lucy is both calm and creative then someone is calm.
... | Susan is not strong. | neutral | (![X]:(curious(X)<=>~generous(X)))&
(![X]:((old(X)&~kind(X))<=>(~humble(X)|generous(X))))&
(((humble(paul)&quiet(paul)))=>((~funny(paul)<~>patient(paul))))&
(![X]:(quiet(X)=>(~patient(X)<~>rich(X))))&
(((calm(lucy)&creative(lucy)))=>(?[X]:(calm(X))))&
(![X]:((strong(X)|~happy(X))=>(~brave(X)&~wise(X))))&
((?[X]:(~brave... | ~strong(susan) | [] | null | 0 |
Everyone who is patient is happy or patient.
Everyone who is not funny or calm is wise and vice versa.
Everyone who is not rich or not generous is not brave and vice versa.
If paul is not humble then someone is either not humble or not rich.
If someone is not kind or rich then someone is either rich or kind and vice ve... | John is curious. | neutral | (![X]:(patient(X)=>(happy(X)|patient(X))))&
(![X]:((~funny(X)|calm(X))<=>wise(X)))&
(![X]:((~rich(X)|~generous(X))<=>~brave(X)))&
((~humble(paul))=>(?[X]:((~humble(X)<~>~rich(X)))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:((rich(X)<~>kind(X)))))&
(![X]:((~brave(X)&strong(X))<=>(~wise(X)<~>~curious(X))))&
(![X]:((calm(X)&... | curious(john) | [] | null | 0 |
Everyone who is quiet or not quiet is not happy.
If someone is old then someone is funny or not rich and vice versa.
If mary is not strong then someone is not old or creative.
If someone is both not kind and funny then someone is either tall or not brave.
If mary is rich or not creative then someone is both old and cur... | John is not patient. | contradiction | (![X]:((quiet(X)|~quiet(X))=>~happy(X)))&
((?[X]:(old(X)))<=>(?[X]:((funny(X)|~rich(X)))))&
((~strong(mary))=>(?[X]:((~old(X)|creative(X)))))&
((?[X]:((~kind(X)&funny(X))))=>(?[X]:((tall(X)<~>~brave(X)))))&
(((rich(mary)|~creative(mary)))<=>(?[X]:((old(X)&curious(X)))))&
(![X]:((~tall(X)|kind(X))<=>(kind(X)&brave(X))))... | ~patient(john) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7543236026980827039730304
% SZS output start Proof for 7543236026980827039730304
1. ! [X0] : ((~quiet(X0) | quiet(X0)) => ~happy(X0)) [input p0]
11. ? [X0] : (~patient(X0) | rich(X0)) => ? [X0] : (creative(X0) & happy(X0)) [input p10]
23. ~patient(john) [input hypothesis]
26. ? [X0] : (~p... | 0 |
Everyone who is strong is kind. If susan is curious then paul is calm. Everyone who is both not old and not patient is funny or generous. Everyone who is both not tall and funny is either not wise or old. Everyone who is either not curious or humble is not calm and vice versa. Everyone who is tall is funny. Everyone wh... | Fred is not wise. | neutral | (![X]:(strong(X)=>kind(X)))&
((curious(susan))=>(calm(paul)))&
(![X]:((~old(X)&~patient(X))=>(funny(X)|generous(X))))&
(![X]:((~tall(X)&funny(X))=>(~wise(X)<~>old(X))))&
(![X]:((~curious(X)<~>humble(X))<=>~calm(X)))&
(![X]:(tall(X)=>funny(X)))&
(![X]:((~quiet(X)|tall(X))=>(~happy(X)&~patient(X))))&
(((strong(paul)<~>wi... | ~wise(fred) | [] | null | 0 |
Everyone who is not patient or not brave is generous.
If alice is kind then john is not humble or not patient and vice versa.
Everyone who is either calm or happy is brave.
If someone is not old then someone is both not kind and not strong and vice versa.
Everyone who is not funny is funny or not humble and vice versa.... | Paul is not strong. | entailment | (![X]:((~patient(X)|~brave(X))=>generous(X)))&
((kind(alice))<=>((~humble(john)|~patient(john))))&
(![X]:((calm(X)<~>happy(X))=>brave(X)))&
((?[X]:(~old(X)))<=>(?[X]:((~kind(X)&~strong(X)))))&
(![X]:(~funny(X)<=>(funny(X)|~humble(X))))&
(((kind(john)|~humble(john)))<=>((funny(paul)<~>~rich(paul))))&
(![X]:((wise(X)<~>~... | ~strong(paul) | [
"p0",
"p4",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3334316392381239997460314
% SZS output start Proof for 3334316392381239997460314
1. ! [X0] : ((~brave(X0) | ~patient(X0)) => generous(X0)) [input p0]
5. ! [X0] : (~funny(X0) <=> (~humble(X0) | funny(X0))) [input p4]
6. (~humble(john) | kind(john)) <=> (funny(paul) <~> ~rich(paul)) [input ... | 0 |
Everyone who is old or not patient is both rich and not creative and vice versa. Everyone who is both humble and not kind is not wise or not rich. Everyone who is not tall is not happy. If john is both not quiet and not wise then someone is both not strong and not brave and vice versa. Everyone who is either patient or... | John is not tall. | neutral | (![X]:((old(X)|~patient(X))<=>(rich(X)&~creative(X))))&
(![X]:((humble(X)&~kind(X))=>(~wise(X)|~rich(X))))&
(![X]:(~tall(X)=>~happy(X)))&
(((~quiet(john)&~wise(john)))<=>(?[X]:((~strong(X)&~brave(X)))))&
(![X]:((patient(X)<~>creative(X))<=>(humble(X)<~>tall(X))))&
(![X]:((tall(X)|~generous(X))=>generous(X)))&
((?[X]:(o... | ~tall(john) | [] | null | 0 |
Everyone who is not strong or not humble is both not happy and not rich. Everyone who is either not old or happy is not tall. Everyone who is not brave or not happy is old or not tall and vice versa. Everyone who is kind or generous is either creative or not strong and vice versa. Everyone who is both humble and not ge... | Lucy is not curious. | contradiction | (![X]:((~strong(X)|~humble(X))=>(~happy(X)&~rich(X))))&
(![X]:((~old(X)<~>happy(X))=>~tall(X)))&
(![X]:((~brave(X)|~happy(X))<=>(old(X)|~tall(X))))&
(![X]:((kind(X)|generous(X))<=>(creative(X)<~>~strong(X))))&
(![X]:((humble(X)&~generous(X))=>(~patient(X)&~humble(X))))&
(![X]:((patient(X)|~quiet(X))<=>~patient(X)))&
(!... | ~curious(lucy) | [
"p0",
"p4",
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4920831255504198096488042
% SZS output start Proof for 4920831255504198096488042
1. ! [X0] : ((~humble(X0) | ~strong(X0)) => (~rich(X0) & ~happy(X0))) [input p0]
5. ! [X0] : ((~generous(X0) & humble(X0)) => (~humble(X0) & ~patient(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) | patient(X0)) <... | 0 |
If lucy is quiet then john is quiet or brave and vice versa.
Everyone who is old is both funny and rich.
Everyone who is curious or not curious is either funny or calm.
Everyone who is generous or not old is either not patient or rich.
Everyone who is both not strong and not wise is both strong and not humble.
If someo... | John is generous. | contradiction | ((quiet(lucy))<=>((quiet(john)|brave(john))))&
(![X]:(old(X)=>(funny(X)&rich(X))))&
(![X]:((curious(X)|~curious(X))=>(funny(X)<~>calm(X))))&
(![X]:((generous(X)|~old(X))=>(~patient(X)<~>rich(X))))&
(![X]:((~strong(X)&~wise(X))=>(strong(X)&~humble(X))))&
((?[X]:((~wise(X)<~>calm(X))))<=>(?[X]:((~old(X)|patient(X)))))&
(... | generous(john) | [
"p1",
"p3",
"p9",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2655341658484610892643424
% SZS output start Proof for 2655341658484610892643424
2. ! [X0] : (old(X0) => (rich(X0) & funny(X0))) [input p1]
4. ! [X0] : ((~old(X0) | generous(X0)) => (~patient(X0) <~> rich(X0))) [input p3]
10. ? [X0] : (~creative(X0) | tall(X0)) => (old(john) & quiet(john)... | 0 |
Everyone who is either old or not quiet is either brave or humble.
If someone is either brave or happy then alice is either not calm or funny and vice versa.
If alice is not happy or curious then susan is brave or tall and vice versa.
If someone is both kind and not humble then susan is not patient or not tall.
Everyon... | Lucy is not brave. | contradiction | (![X]:((old(X)<~>~quiet(X))=>(brave(X)<~>humble(X))))&
((?[X]:((brave(X)<~>happy(X))))<=>((~calm(alice)<~>funny(alice))))&
(((~happy(alice)|curious(alice)))<=>((brave(susan)|tall(susan))))&
((?[X]:((kind(X)&~humble(X))))=>((~patient(susan)|~tall(susan))))&
(![X]:((generous(X)<~>old(X))<=>(~funny(X)&humble(X))))&
(![X]:... | ~brave(lucy) | [
"p0",
"p4",
"p5",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 775715891137366367789483
% SZS output start Proof for 775715891137366367789483
1. ! [X0] : ((old(X0) <~> ~quiet(X0)) => (brave(X0) <~> humble(X0))) [input p0]
5. ! [X0] : ((generous(X0) <~> old(X0)) <=> (humble(X0) & ~funny(X0))) [input p4]
6. ! [X0] : ((~old(X0) & strong(X0)) <=> (~creat... | 0 |
Everyone who is both quiet and not happy is rich or not kind and vice versa. If fred is either not curious or rich then someone is both not old and not funny and vice versa. Everyone who is both happy and not tall is both brave and not wise. Everyone who is not old is creative or not funny and vice versa. If someone is... | Fred is curious. | entailment | (![X]:((quiet(X)&~happy(X))<=>(rich(X)|~kind(X))))&
(((~curious(fred)<~>rich(fred)))<=>(?[X]:((~old(X)&~funny(X)))))&
(![X]:((happy(X)&~tall(X))=>(brave(X)&~wise(X))))&
(![X]:(~old(X)<=>(creative(X)|~funny(X))))&
((?[X]:(~quiet(X)))=>((~strong(john)<~>~old(john))))&
(![X]:((~quiet(X)<~>~funny(X))=>~strong(X)))&
(![X]:(... | curious(fred) | [
"p3",
"p5",
"p6",
"p10",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8644714152295236004225161
% SZS output start Proof for 8644714152295236004225161
4. ! [X0] : (~old(X0) <=> (~funny(X0) | creative(X0))) [input p3]
6. ! [X0] : ((~quiet(X0) <~> ~funny(X0)) => ~strong(X0)) [input p5]
7. ! [X0] : ((strong(X0) | funny(X0)) <=> patient(X0)) [input p6]
11. ! [X... | 0 |
Everyone who is generous is both tall and not kind.
If paul is both not funny and old then someone is both not kind and patient and vice versa.
If someone is wise then alice is not generous.
If someone is both not wise and not calm then mary is both not patient and curious.
If someone is both humble and not tall then a... | Mary is brave. | contradiction | (![X]:(generous(X)=>(tall(X)&~kind(X))))&
(((~funny(paul)&old(paul)))<=>(?[X]:((~kind(X)&patient(X)))))&
((?[X]:(wise(X)))=>(~generous(alice)))&
((?[X]:((~wise(X)&~calm(X))))=>((~patient(mary)&curious(mary))))&
((?[X]:((humble(X)&~tall(X))))<=>((~tall(alice)&~kind(alice))))&
(((strong(lucy)|~patient(lucy)))<=>(calm(joh... | brave(mary) | [
"p0",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5905852975178749794896939
% SZS output start Proof for 5905852975178749794896939
1. ! [X0] : (generous(X0) => (~kind(X0) & tall(X0))) [input p0]
7. ! [X0] : ((~curious(X0) & strong(X0)) <=> (tall(X0) | ~generous(X0))) [input p6]
8. ! [X0] : ((patient(X0) | ~quiet(X0)) => (~curious(X0) <~>... | 0 |
If someone is wise or not happy then paul is either calm or happy and vice versa.
Everyone who is either tall or patient is not wise and vice versa.
If mary is not calm or not rich then someone is generous.
Everyone who is either calm or not rich is either generous or patient.
Everyone who is either not creative or str... | Mary is old. | contradiction | ((?[X]:((wise(X)|~happy(X))))<=>((calm(paul)<~>happy(paul))))&
(![X]:((tall(X)<~>patient(X))<=>~wise(X)))&
(((~calm(mary)|~rich(mary)))=>(?[X]:(generous(X))))&
(![X]:((calm(X)<~>~rich(X))=>(generous(X)<~>patient(X))))&
(![X]:((~creative(X)<~>strong(X))<=>~creative(X)))&
(![X]:(~patient(X)=>(~funny(X)|~quiet(X))))&
(![X... | old(mary) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8842401819802797731372587
% SZS output start Proof for 8842401819802797731372587
7. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (~generous(X0) & ~old(X0))) [input p6]
23. old(mary) [input hypothesis]
41. ! [X0] : ((((tall(X0) | ~tall(X0)) & (~tall(X0) | tall(X0))) | (generous(X0) | old(X0))) &... | 0 |
If someone is not rich then lucy is old or not tall and vice versa.
Everyone who is not patient is both generous and not creative and vice versa.
Everyone who is either not quiet or kind is generous or brave and vice versa.
If someone is not rich then someone is not generous or quiet.
Everyone who is both not strong an... | Paul is wise. | entailment | ((?[X]:(~rich(X)))<=>((old(lucy)|~tall(lucy))))&
(![X]:(~patient(X)<=>(generous(X)&~creative(X))))&
(![X]:((~quiet(X)<~>kind(X))<=>(generous(X)|brave(X))))&
((?[X]:(~rich(X)))=>(?[X]:((~generous(X)|quiet(X)))))&
(![X]:((~strong(X)&~quiet(X))<=>~creative(X)))&
(((~generous(mary)<~>quiet(mary)))=>((~brave(fred)&kind(fred... | wise(paul) | [
"p4",
"p6",
"p13",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6294478706824844431504442
% SZS output start Proof for 6294478706824844431504442
5. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> ~creative(X0)) [input p4]
7. ! [X0] : ((quiet(X0) <~> humble(X0)) <=> (creative(X0) & ~wise(X0))) [input p6]
14. ! [X0] : ((creative(X0) | happy(X0)) <=> (~rich(X0)... | 0 |
Everyone who is both not kind and not wise is strong.
Everyone who is not calm or rich is both not tall and not rich and vice versa.
Everyone who is either old or funny is both brave and not quiet.
If mary is either creative or patient then someone is both rich and funny and vice versa.
Everyone who is rich is either r... | John is funny. | contradiction | (![X]:((~kind(X)&~wise(X))=>strong(X)))&
(![X]:((~calm(X)|rich(X))<=>(~tall(X)&~rich(X))))&
(![X]:((old(X)<~>funny(X))=>(brave(X)&~quiet(X))))&
(((creative(mary)<~>patient(mary)))<=>(?[X]:((rich(X)&funny(X)))))&
(![X]:(rich(X)<=>(rich(X)<~>patient(X))))&
((?[X]:((tall(X)|~humble(X))))=>((~rich(paul)<~>rich(paul))))&
(!... | funny(john) | [
"p1",
"p4",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8945793731668323663213178
% SZS output start Proof for 8945793731668323663213178
2. ! [X0] : ((rich(X0) | ~calm(X0)) <=> (~rich(X0) & ~tall(X0))) [input p1]
5. ! [X0] : (rich(X0) <=> (rich(X0) <~> patient(X0))) [input p4]
7. ! [X0] : (~calm(X0) => (~funny(X0) | patient(X0))) [input p6]
15... | 0 |
Everyone who is either not creative or patient is quiet and vice versa.
Everyone who is either happy or not quiet is not wise or quiet and vice versa.
If someone is rich then lucy is either strong or not humble.
Everyone who is both quiet and not happy is either strong or not curious.
Everyone who is not quiet is both ... | Lucy is not strong. | entailment | (![X]:((~creative(X)<~>patient(X))<=>quiet(X)))&
(![X]:((happy(X)<~>~quiet(X))<=>(~wise(X)|quiet(X))))&
((?[X]:(rich(X)))=>((strong(lucy)<~>~humble(lucy))))&
(![X]:((quiet(X)&~happy(X))=>(strong(X)<~>~curious(X))))&
(![X]:(~quiet(X)<=>(humble(X)&~strong(X))))&
(![X]:((creative(X)<~>~calm(X))=>(generous(X)<~>~rich(X))))... | ~strong(lucy) | [
"p0",
"p1",
"p4",
"p6",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8280194328615879351457115
% SZS output start Proof for 8280194328615879351457115
1. ! [X0] : ((~creative(X0) <~> patient(X0)) <=> quiet(X0)) [input p0]
2. ! [X0] : ((happy(X0) <~> ~quiet(X0)) <=> (quiet(X0) | ~wise(X0))) [input p1]
5. ! [X0] : (~quiet(X0) <=> (~strong(X0) & humble(X0))) [... | 0 |
If someone is curious then paul is either rich or not old.
If lucy is not happy or creative then someone is humble and vice versa.
Everyone who is both happy and not rich is both generous and not generous and vice versa.
Everyone who is not rich or not creative is both generous and patient and vice versa.
Everyone who ... | Fred is not brave. | contradiction | ((?[X]:(curious(X)))=>((rich(paul)<~>~old(paul))))&
(((~happy(lucy)|creative(lucy)))<=>(?[X]:(humble(X))))&
(![X]:((happy(X)&~rich(X))<=>(generous(X)&~generous(X))))&
(![X]:((~rich(X)|~creative(X))<=>(generous(X)&patient(X))))&
(![X]:((~happy(X)<~>~brave(X))=>(~curious(X)&old(X))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:(... | ~brave(fred) | [
"p3",
"p4",
"p5",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1318862779120339668126107
% SZS output start Proof for 1318862779120339668126107
4. ! [X0] : ((~creative(X0) | ~rich(X0)) <=> (patient(X0) & generous(X0))) [input p3]
5. ! [X0] : ((~happy(X0) <~> ~brave(X0)) => (old(X0) & ~curious(X0))) [input p4]
6. ! [X0] : (funny(X0) <=> rich(X0)) [inp... | 0 |
Everyone who is not calm or not brave is not strong and vice versa. If susan is not old or quiet then lucy is both wise and not patient. Everyone who is both not creative and patient is generous or strong and vice versa. Everyone who is rich is either patient or not curious. Everyone who is either quiet or generous is ... | Lucy is calm. | contradiction | (![X]:((~calm(X)|~brave(X))<=>~strong(X)))&
(((~old(susan)|quiet(susan)))=>((wise(lucy)&~patient(lucy))))&
(![X]:((~creative(X)&patient(X))<=>(generous(X)|strong(X))))&
(![X]:(rich(X)=>(patient(X)<~>~curious(X))))&
(![X]:((quiet(X)<~>generous(X))=>(~patient(X)&quiet(X))))&
((?[X]:((~old(X)&rich(X))))<=>((~quiet(fred)&~... | calm(lucy) | [
"p0",
"p1",
"p2",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8562514249522017113258275
% SZS output start Proof for 8562514249522017113258275
1. ! [X0] : ((~brave(X0) | ~calm(X0)) <=> ~strong(X0)) [input p0]
2. (quiet(susan) | ~old(susan)) => (~patient(lucy) & wise(lucy)) [input p1]
3. ! [X0] : ((patient(X0) & ~creative(X0)) <=> (strong(X0) | gener... | 0 |
Everyone who is both happy and brave is either brave or not calm.
Everyone who is both not strong and generous is both not generous and not patient.
Everyone who is tall or happy is either calm or not old and vice versa.
Everyone who is both quiet and strong is not tall or not creative and vice versa.
Everyone who is e... | Paul is generous. | contradiction | (![X]:((happy(X)&brave(X))=>(brave(X)<~>~calm(X))))&
(![X]:((~strong(X)&generous(X))=>(~generous(X)&~patient(X))))&
(![X]:((tall(X)|happy(X))<=>(calm(X)<~>~old(X))))&
(![X]:((quiet(X)&strong(X))<=>(~tall(X)|~creative(X))))&
(![X]:((~kind(X)<~>~curious(X))<=>(tall(X)&~kind(X))))&
((?[X]:(~calm(X)))=>(?[X]:((generous(X)|... | generous(paul) | [
"p1",
"p4",
"p7",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6878019910248664031637756
% SZS output start Proof for 6878019910248664031637756
2. ! [X0] : ((generous(X0) & ~strong(X0)) => (~patient(X0) & ~generous(X0))) [input p1]
5. ! [X0] : ((~kind(X0) <~> ~curious(X0)) <=> (~kind(X0) & tall(X0))) [input p4]
8. ! [X0] : ((curious(X0) | ~tall(X0)) ... | 0 |
Everyone who is creative or not calm is either quiet or not happy.
Everyone who is both funny and not strong is generous or happy and vice versa.
Everyone who is both not curious and calm is both creative and not quiet.
Everyone who is not tall or funny is wise or not rich and vice versa.
If fred is not generous or not... | Fred is rich. | neutral | (![X]:((creative(X)|~calm(X))=>(quiet(X)<~>~happy(X))))&
(![X]:((funny(X)&~strong(X))<=>(generous(X)|happy(X))))&
(![X]:((~curious(X)&calm(X))=>(creative(X)&~quiet(X))))&
(![X]:((~tall(X)|funny(X))<=>(wise(X)|~rich(X))))&
(((~generous(fred)|~patient(fred)))=>(?[X]:((wise(X)|calm(X)))))&
(![X]:(~rich(X)<=>generous(X)))&... | rich(fred) | [] | null | 0 |
If mary is calm then alice is both not curious and not brave and vice versa.
Everyone who is not brave is either not curious or tall.
Everyone who is either quiet or funny is patient or tall.
Everyone who is both not patient and not happy is either funny or not tall.
Everyone who is not brave is rich and vice versa.
If... | John is not generous. | neutral | ((calm(mary))<=>((~curious(alice)&~brave(alice))))&
(![X]:(~brave(X)=>(~curious(X)<~>tall(X))))&
(![X]:((quiet(X)<~>funny(X))=>(patient(X)|tall(X))))&
(![X]:((~patient(X)&~happy(X))=>(funny(X)<~>~tall(X))))&
(![X]:(~brave(X)<=>rich(X)))&
((rich(susan))<=>(?[X]:((wise(X)<~>~creative(X)))))&
(((humble(susan)|patient(susa... | ~generous(john) | [] | null | 0 |
Everyone who is either patient or not strong is both not calm and not patient.
If someone is curious then someone is not rich.
Everyone who is not old or not brave is both not calm and not happy.
If mary is curious or not calm then fred is either wise or brave and vice versa.
Everyone who is not tall or not old is not ... | Mary is not calm. | contradiction | (![X]:((patient(X)<~>~strong(X))=>(~calm(X)&~patient(X))))&
((?[X]:(curious(X)))=>(?[X]:(~rich(X))))&
(![X]:((~old(X)|~brave(X))=>(~calm(X)&~happy(X))))&
(((curious(mary)|~calm(mary)))<=>((wise(fred)<~>brave(fred))))&
(![X]:((~tall(X)|~old(X))<=>(~tall(X)|patient(X))))&
(![X]:(calm(X)<=>(quiet(X)|~wise(X))))&
(![X]:((g... | ~calm(mary) | [
"p0",
"p5",
"p9",
"p11",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7907331405710223671939237
% SZS output start Proof for 7907331405710223671939237
1. ! [X0] : ((patient(X0) <~> ~strong(X0)) => (~patient(X0) & ~calm(X0))) [input p0]
6. ! [X0] : (calm(X0) <=> (~wise(X0) | quiet(X0))) [input p5]
10. ! [X0] : ((~patient(X0) & strong(X0)) <=> quiet(X0)) [inp... | 0 |
If susan is not patient then alice is both not calm and tall. Everyone who is both not brave and humble is not wise and vice versa. Everyone who is either patient or not funny is either curious or quiet and vice versa. Everyone who is not humble is both happy and not funny and vice versa. Everyone who is both tall and ... | John is not happy. | entailment | ((~patient(susan))=>((~calm(alice)&tall(alice))))&
(![X]:((~brave(X)&humble(X))<=>~wise(X)))&
(![X]:((patient(X)<~>~funny(X))<=>(curious(X)<~>quiet(X))))&
(![X]:(~humble(X)<=>(happy(X)&~funny(X))))&
(![X]:((tall(X)&strong(X))=>(~tall(X)<~>~curious(X))))&
(![X]:((calm(X)&old(X))<=>~wise(X)))&
((?[X]:((strong(X)&~humble(... | ~happy(john) | [
"p1",
"p3",
"p5",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7354115821816680164670534
% SZS output start Proof for 7354115821816680164670534
2. ! [X0] : ((humble(X0) & ~brave(X0)) <=> ~wise(X0)) [input p1]
4. ! [X0] : (~humble(X0) <=> (~funny(X0) & happy(X0))) [input p3]
6. ! [X0] : ((old(X0) & calm(X0)) <=> ~wise(X0)) [input p5]
16. ! [X0] : ((~c... | 0 |
Everyone who is both not happy and not strong is not quiet or tall.
Everyone who is not generous or not quiet is both humble and curious and vice versa.
If mary is both rich and kind then someone is either not quiet or not generous and vice versa.
Everyone who is curious is not happy.
Everyone who is both not curious a... | John is old. | contradiction | (![X]:((~happy(X)&~strong(X))=>(~quiet(X)|tall(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(humble(X)&curious(X))))&
(((rich(mary)&kind(mary)))<=>(?[X]:((~quiet(X)<~>~generous(X)))))&
(![X]:(curious(X)=>~happy(X)))&
(![X]:((~curious(X)&wise(X))=>(~kind(X)&happy(X))))&
(((~old(john)&~calm(john)))<=>((~tall(john)|~generous(... | old(john) | [
"p1",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7789319395634136569937134
% SZS output start Proof for 7789319395634136569937134
2. ! [X0] : ((~quiet(X0) | ~generous(X0)) <=> (curious(X0) & humble(X0))) [input p1]
6. (~calm(john) & ~old(john)) <=> (~generous(john) | ~tall(john)) [input p5]
9. ! [X0] : ((curious(X0) & ~curious(X0)) <=> ... | 0 |
Everyone who is happy or not patient is either not funny or creative and vice versa. Everyone who is not creative or not happy is wise and vice versa. Everyone who is generous or not creative is both calm and quiet and vice versa. Everyone who is either kind or creative is not brave or calm and vice versa. Everyone who... | Alice is funny. | entailment | (![X]:((happy(X)|~patient(X))<=>(~funny(X)<~>creative(X))))&
(![X]:((~creative(X)|~happy(X))<=>wise(X)))&
(![X]:((generous(X)|~creative(X))<=>(calm(X)&quiet(X))))&
(![X]:((kind(X)<~>creative(X))<=>(~brave(X)|calm(X))))&
(![X]:(humble(X)<=>(~humble(X)<~>humble(X))))&
(![X]:((old(X)<~>strong(X))=>(~rich(X)&~happy(X))))&
... | funny(alice) | [
"p1",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7050759423629698990232556
% SZS output start Proof for 7050759423629698990232556
2. ! [X0] : ((~happy(X0) | ~creative(X0)) <=> wise(X0)) [input p1]
7. ! [X0] : ((~funny(X0) | ~calm(X0)) => (~happy(X0) <~> wise(X0))) [input p6]
11. ! [X0] : (~funny(X0) => (~calm(X0) & tall(X0))) [input p10... | 0 |
Everyone who is rich or kind is either strong or not rich and vice versa. Everyone who is either not strong or creative is both creative and humble. Everyone who is both not wise and rich is generous or rich. If alice is both old and not patient then someone is either brave or creative and vice versa. Everyone who is p... | Lucy is not funny. | contradiction | (![X]:((rich(X)|kind(X))<=>(strong(X)<~>~rich(X))))&
(![X]:((~strong(X)<~>creative(X))=>(creative(X)&humble(X))))&
(![X]:((~wise(X)&rich(X))=>(generous(X)|rich(X))))&
(((old(alice)&~patient(alice)))<=>(?[X]:((brave(X)<~>creative(X)))))&
(![X]:(patient(X)<=>~tall(X)))&
(![X]:((~old(X)|~happy(X))<=>(~brave(X)|~funny(X)))... | ~funny(lucy) | [
"p0",
"p5",
"p6",
"p7",
"p9",
"p12",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5388892049266240874936653
% SZS output start Proof for 5388892049266240874936653
1. ! [X0] : ((kind(X0) | rich(X0)) <=> (strong(X0) <~> ~rich(X0))) [input p0]
6. ! [X0] : ((~happy(X0) | ~old(X0)) <=> (~funny(X0) | ~brave(X0))) [input p5]
7. ! [X0] : ((old(X0) <~> humble(X0)) <=> (~patient... | 0 |
Everyone who is both rich and not happy is both not funny and strong. If someone is both not funny and funny then someone is not wise or not humble. Everyone who is both creative and not rich is brave or kind. If someone is both patient and not old then someone is not calm or humble. Everyone who is not humble or not c... | Lucy is not old. | neutral | (![X]:((rich(X)&~happy(X))=>(~funny(X)&strong(X))))&
((?[X]:((~funny(X)&funny(X))))=>(?[X]:((~wise(X)|~humble(X)))))&
(![X]:((creative(X)&~rich(X))=>(brave(X)|kind(X))))&
((?[X]:((patient(X)&~old(X))))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((~humble(X)|~curious(X))=>(~patient(X)&~tall(X))))&
((~quiet(fred))<=>(strong(... | ~old(lucy) | [] | null | 0 |
If someone is both not patient and kind then lucy is either funny or humble. Everyone who is not tall is either strong or not calm and vice versa. Everyone who is funny is not tall or not calm and vice versa. Everyone who is not funny or funny is tall or generous. Everyone who is both not happy and strong is rich or ki... | Fred is old. | entailment | ((?[X]:((~patient(X)&kind(X))))=>((funny(lucy)<~>humble(lucy))))&
(![X]:(~tall(X)<=>(strong(X)<~>~calm(X))))&
(![X]:(funny(X)<=>(~tall(X)|~calm(X))))&
(![X]:((~funny(X)|funny(X))=>(tall(X)|generous(X))))&
(![X]:((~happy(X)&strong(X))<=>(rich(X)|kind(X))))&
(![X]:((~old(X)|~rich(X))<=>(~funny(X)&~happy(X))))&
(![X]:((wi... | old(fred) | [
"p1",
"p2",
"p4",
"p5",
"p10",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6410519544025016172471988
% SZS output start Proof for 6410519544025016172471988
2. ! [X0] : (~tall(X0) <=> (strong(X0) <~> ~calm(X0))) [input p1]
3. ! [X0] : (funny(X0) <=> (~calm(X0) | ~tall(X0))) [input p2]
5. ! [X0] : ((strong(X0) & ~happy(X0)) <=> (kind(X0) | rich(X0))) [input p4]
6.... | 0 |
Everyone who is funny or not strong is both happy and patient and vice versa. Everyone who is both old and happy is tall. Everyone who is either not kind or quiet is either not kind or generous. Everyone who is either not wise or not quiet is kind and vice versa. Everyone who is kind or not generous is both not strong ... | Mary is not wise. | contradiction | (![X]:((funny(X)|~strong(X))<=>(happy(X)&patient(X))))&
(![X]:((old(X)&happy(X))=>tall(X)))&
(![X]:((~kind(X)<~>quiet(X))=>(~kind(X)<~>generous(X))))&
(![X]:((~wise(X)<~>~quiet(X))<=>kind(X)))&
(![X]:((kind(X)|~generous(X))=>(~strong(X)&wise(X))))&
(![X]:((creative(X)|quiet(X))=>(strong(X)<~>~generous(X))))&
(![X]:((~k... | ~wise(mary) | [
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6156135661866382592730542
% SZS output start Proof for 6156135661866382592730542
3. ! [X0] : ((~kind(X0) <~> quiet(X0)) => (~kind(X0) <~> generous(X0))) [input p2]
4. ! [X0] : ((~wise(X0) <~> ~quiet(X0)) <=> kind(X0)) [input p3]
5. ! [X0] : ((~generous(X0) | kind(X0)) => (wise(X0) & ~stro... | 0 |
If someone is either not generous or generous then mary is brave or not brave and vice versa.
Everyone who is either not brave or not creative is either wise or rich and vice versa.
Everyone who is not wise is happy or not creative and vice versa.
Everyone who is brave is not calm or rich and vice versa.
Everyone who i... | Fred is creative. | contradiction | ((?[X]:((~generous(X)<~>generous(X))))<=>((brave(mary)|~brave(mary))))&
(![X]:((~brave(X)<~>~creative(X))<=>(wise(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(happy(X)|~creative(X))))&
(![X]:(brave(X)<=>(~calm(X)|rich(X))))&
(![X]:((~creative(X)|~brave(X))<=>(wise(X)|funny(X))))&
((~quiet(fred))<=>(rich(paul)))&
(![X]:((patient... | creative(fred) | [
"p1",
"p2",
"p3",
"p4",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6443778530126203140500076
% SZS output start Proof for 6443778530126203140500076
2. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (wise(X0) <~> rich(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (~creative(X0) | happy(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (rich(X0) | ~calm(X0))) [input... | 0 |
Everyone who is not curious is not kind and vice versa.
Everyone who is not calm is not happy or strong and vice versa.
Everyone who is either strong or not wise is happy and vice versa.
Everyone who is curious is calm.
Everyone who is either curious or not brave is strong and vice versa.
Everyone who is either not wis... | Mary is not strong. | neutral | (![X]:(~curious(X)<=>~kind(X)))&
(![X]:(~calm(X)<=>(~happy(X)|strong(X))))&
(![X]:((strong(X)<~>~wise(X))<=>happy(X)))&
(![X]:(curious(X)=>calm(X)))&
(![X]:((curious(X)<~>~brave(X))<=>strong(X)))&
(![X]:((~wise(X)<~>~kind(X))<=>(quiet(X)&brave(X))))&
(![X]:((curious(X)&~creative(X))<=>(~funny(X)|calm(X))))&
((rich(fred... | ~strong(mary) | [] | null | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa. If someone is both kind and not brave then alice is both old and not strong. If someone is patient then john is rich. If mary is funny then someone is not wise or not strong. Everyone who is curious or not old is brave or not wise. Everyo... | Alice is rich. | neutral | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((kind(X)&~brave(X))))=>((old(alice)&~strong(alice))))&
((?[X]:(patient(X)))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient(X)))&... | rich(alice) | [] | null | 0 |
Everyone who is tall or humble is not curious or humble and vice versa.
Everyone who is not happy or not humble is either not rich or brave and vice versa.
Everyone who is not strong or not brave is not old and vice versa.
If someone is either old or not generous then lucy is patient or calm.
Everyone who is not funny ... | John is happy. | entailment | (![X]:((tall(X)|humble(X))<=>(~curious(X)|humble(X))))&
(![X]:((~happy(X)|~humble(X))<=>(~rich(X)<~>brave(X))))&
(![X]:((~strong(X)|~brave(X))<=>~old(X)))&
((?[X]:((old(X)<~>~generous(X))))=>((patient(lucy)|calm(lucy))))&
(![X]:((~funny(X)|quiet(X))=>(patient(X)<~>generous(X))))&
(![X]:(brave(X)=>(curious(X)|~generous(... | happy(john) | [
"p1",
"p5",
"p7",
"p11",
"p12",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8025325667166400251377067
% SZS output start Proof for 8025325667166400251377067
2. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> (~rich(X0) <~> brave(X0))) [input p1]
6. ! [X0] : (brave(X0) => (~generous(X0) | curious(X0))) [input p5]
8. ! [X0] : (happy(X0) <=> (kind(X0) | ~rich(X0))) [input ... | 0 |
Everyone who is either not happy or happy is strong and vice versa. Everyone who is not strong or not tall is either calm or brave. Everyone who is either not quiet or curious is brave or not kind and vice versa. Everyone who is patient is not patient or not wise and vice versa. If someone is old then someone is humble... | Susan is old. | entailment | (![X]:((~happy(X)<~>happy(X))<=>strong(X)))&
(![X]:((~strong(X)|~tall(X))=>(calm(X)<~>brave(X))))&
(![X]:((~quiet(X)<~>curious(X))<=>(brave(X)|~kind(X))))&
(![X]:(patient(X)<=>(~patient(X)|~wise(X))))&
((?[X]:(old(X)))<=>(?[X]:(humble(X))))&
(![X]:((rich(X)|kind(X))=>(~kind(X)&~rich(X))))&
(![X]:((old(X)&~kind(X))=>hum... | old(susan) | [
"p0",
"p5",
"p7",
"p10",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7612777532267631516249542
% SZS output start Proof for 7612777532267631516249542
1. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> strong(X0)) [input p0]
6. ! [X0] : ((kind(X0) | rich(X0)) => (~rich(X0) & ~kind(X0))) [input p5]
8. ! [X0] : ((~creative(X0) | kind(X0)) <=> (strong(X0) <~> ~strong... | 0 |
Everyone who is not rich or generous is both not wise and not strong.
If someone is not generous or not old then mary is both not quiet and not curious and vice versa.
If alice is both brave and creative then lucy is not kind or not curious.
Everyone who is not wise is not old.
If fred is not rich or kind then someone ... | Alice is not strong. | neutral | (![X]:((~rich(X)|generous(X))=>(~wise(X)&~strong(X))))&
((?[X]:((~generous(X)|~old(X))))<=>((~quiet(mary)&~curious(mary))))&
(((brave(alice)&creative(alice)))=>((~kind(lucy)|~curious(lucy))))&
(![X]:(~wise(X)=>~old(X)))&
(((~rich(fred)|kind(fred)))=>(?[X]:((~tall(X)|~creative(X)))))&
(![X]:((~curious(X)|generous(X))=>(... | ~strong(alice) | [] | null | 0 |
If paul is rich then fred is not tall or patient.
Everyone who is strong or not patient is both strong and quiet.
Everyone who is not creative or not curious is patient and vice versa.
If someone is calm or tall then susan is both old and creative and vice versa.
Everyone who is not generous is either creative or not r... | Fred is happy. | contradiction | ((rich(paul))=>((~tall(fred)|patient(fred))))&
(![X]:((strong(X)|~patient(X))=>(strong(X)&quiet(X))))&
(![X]:((~creative(X)|~curious(X))<=>patient(X)))&
((?[X]:((calm(X)|tall(X))))<=>((old(susan)&creative(susan))))&
(![X]:(~generous(X)<=>(creative(X)<~>~rich(X))))&
(![X]:(~generous(X)=>~wise(X)))&
(![X]:((~curious(X)&~... | happy(fred) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2621373633932542758288516
% SZS output start Proof for 2621373633932542758288516
2. ! [X0] : ((~patient(X0) | strong(X0)) => (quiet(X0) & strong(X0))) [input p1]
3. ! [X0] : ((~curious(X0) | ~creative(X0)) <=> patient(X0)) [input p2]
5. ! [X0] : (~generous(X0) <=> (creative(X0) <~> ~rich(... | 0 |
If someone is not creative then someone is either brave or not calm and vice versa.
Everyone who is not strong is either not creative or patient and vice versa.
Everyone who is creative or curious is both not old and not curious.
If mary is not rich or not generous then lucy is not generous.
If alice is both brave and ... | John is curious. | contradiction | ((?[X]:(~creative(X)))<=>(?[X]:((brave(X)<~>~calm(X)))))&
(![X]:(~strong(X)<=>(~creative(X)<~>patient(X))))&
(![X]:((creative(X)|curious(X))=>(~old(X)&~curious(X))))&
(((~rich(mary)|~generous(mary)))=>(~generous(lucy)))&
(((brave(alice)&~generous(alice)))=>(?[X]:((wise(X)&rich(X)))))&
(![X]:((tall(X)&wise(X))<=>(~rich(... | curious(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 8446397952816339772236
% SZS output start Proof for 8446397952816339772236
3. ! [X0] : ((curious(X0) | creative(X0)) => (~curious(X0) & ~old(X0))) [input p2]
25. curious(john) [input hypothesis]
29. ! [X0] : ((~curious(X0) & ~old(X0)) | (~curious(X0) & ~creative(X0))) [ennf transformation... | 0 |
If someone is either not creative or not rich then mary is rich or patient. If someone is either not quiet or not wise then someone is tall or not brave and vice versa. If fred is wise or not tall then someone is either creative or patient and vice versa. Everyone who is kind or not tall is not brave. Everyone who is e... | John is rich. | neutral | ((?[X]:((~creative(X)<~>~rich(X))))=>((rich(mary)|patient(mary))))&
((?[X]:((~quiet(X)<~>~wise(X))))<=>(?[X]:((tall(X)|~brave(X)))))&
(((wise(fred)|~tall(fred)))<=>(?[X]:((creative(X)<~>patient(X)))))&
(![X]:((kind(X)|~tall(X))=>~brave(X)))&
(![X]:((tall(X)<~>quiet(X))=>(~rich(X)<~>brave(X))))&
((?[X]:(strong(X)))<=>(?... | rich(john) | [] | null | 0 |
Everyone who is rich is kind or not generous.
If someone is either generous or wise then someone is both not humble and not happy.
Everyone who is either not strong or quiet is old.
Everyone who is both not curious and patient is both brave and not kind.
Everyone who is either not tall or rich is calm or strong.
If fre... | Susan is not strong. | contradiction | (![X]:(rich(X)=>(kind(X)|~generous(X))))&
((?[X]:((generous(X)<~>wise(X))))=>(?[X]:((~humble(X)&~happy(X)))))&
(![X]:((~strong(X)<~>quiet(X))=>old(X)))&
(![X]:((~curious(X)&patient(X))=>(brave(X)&~kind(X))))&
(![X]:((~tall(X)<~>rich(X))=>(calm(X)|strong(X))))&
(((funny(fred)&~curious(fred)))<=>(?[X]:(~rich(X))))&
(((ta... | ~strong(susan) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7175639947267633468384835
% SZS output start Proof for 7175639947267633468384835
12. (~creative(susan) & ~funny(susan)) <=> ? [X0] : (~strong(X0) | ~wise(X0)) [input p11]
20. funny(susan) | strong(susan) [input p19]
25. ~strong(susan) [input hypothesis]
61. ((~creative(susan) & ~funny(sus... | 0 |
Everyone who is both not funny and not calm is not rich. Everyone who is either calm or not quiet is not creative or funny and vice versa. If alice is either not quiet or not wise then john is both wise and curious. If someone is not old or not wise then someone is not kind and vice versa. Everyone who is either not hu... | Susan is not curious. | neutral | (![X]:((~funny(X)&~calm(X))=>~rich(X)))&
(![X]:((calm(X)<~>~quiet(X))<=>(~creative(X)|funny(X))))&
(((~quiet(alice)<~>~wise(alice)))=>((wise(john)&curious(john))))&
((?[X]:((~old(X)|~wise(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)<~>wise(X))<=>~brave(X)))&
(![X]:((~old(X)&~happy(X))<=>(~strong(X)&curious(X))))&
(![... | ~curious(susan) | [] | null | 0 |
Everyone who is both not rich and rich is not rich or tall and vice versa. Everyone who is either curious or humble is brave. If john is not funny or rich then john is both wise and not funny. If someone is creative or old then someone is not humble or not happy. If someone is either not brave or brave then someone is ... | John is tall. | contradiction | (![X]:((~rich(X)&rich(X))<=>(~rich(X)|tall(X))))&
(![X]:((curious(X)<~>humble(X))=>brave(X)))&
(((~funny(john)|rich(john)))=>((wise(john)&~funny(john))))&
((?[X]:((creative(X)|old(X))))=>(?[X]:((~humble(X)|~happy(X)))))&
((?[X]:((~brave(X)<~>brave(X))))=>(?[X]:((~curious(X)<~>~patient(X)))))&
(![X]:((strong(X)<~>~humbl... | tall(john) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 8496440642684916630188844
% SZS output start Proof for 8496440642684916630188844
1. ! [X0] : ((rich(X0) & ~rich(X0)) <=> (tall(X0) | ~rich(X0))) [input p0]
24. tall(john) [input hypothesis]
43. ! [X0] : (((rich(X0) & ~rich(X0)) | (~tall(X0) & rich(X0))) & ((tall(X0) | ~rich(X0)) | (~rich(... | 0 |
Everyone who is either rich or calm is calm.
Everyone who is both strong and generous is both not strong and not happy.
Everyone who is not curious or not generous is either old or patient.
Everyone who is both not brave and not strong is both not strong and not tall and vice versa.
Everyone who is brave or generous is... | Mary is not rich. | entailment | (![X]:((rich(X)<~>calm(X))=>calm(X)))&
(![X]:((strong(X)&generous(X))=>(~strong(X)&~happy(X))))&
(![X]:((~curious(X)|~generous(X))=>(old(X)<~>patient(X))))&
(![X]:((~brave(X)&~strong(X))<=>(~strong(X)&~tall(X))))&
(![X]:((brave(X)|generous(X))<=>old(X)))&
(![X]:(wise(X)<=>(creative(X)|old(X))))&
(![X]:((~wise(X)&~happy... | ~rich(mary) | [
"p2",
"p4",
"p5",
"p6",
"p8",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 449763153663712124260352
% SZS output start Proof for 449763153663712124260352
3. ! [X0] : ((~generous(X0) | ~curious(X0)) => (old(X0) <~> patient(X0))) [input p2]
5. ! [X0] : ((generous(X0) | brave(X0)) <=> old(X0)) [input p4]
6. ! [X0] : (wise(X0) <=> (old(X0) | creative(X0))) [input p5... | 0 |
If susan is not humble then lucy is either strong or rich and vice versa.
If someone is funny then someone is patient or wise.
Everyone who is either not humble or not quiet is calm or not strong and vice versa.
Everyone who is humble or not calm is not happy or not wise.
Everyone who is not quiet or wise is curious or... | Paul is not rich. | neutral | ((~humble(susan))<=>((strong(lucy)<~>rich(lucy))))&
((?[X]:(funny(X)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((~humble(X)<~>~quiet(X))<=>(calm(X)|~strong(X))))&
(![X]:((humble(X)|~calm(X))=>(~happy(X)|~wise(X))))&
(![X]:((~quiet(X)|wise(X))=>(curious(X)|~tall(X))))&
((?[X]:((~quiet(X)|calm(X))))=>(?[X]:((happy(X)|funn... | ~rich(paul) | [] | null | 0 |
Everyone who is either happy or patient is either not strong or not quiet. If someone is not creative then someone is either tall or funny. If someone is both funny and strong then alice is both quiet and not curious and vice versa. If someone is not old then someone is curious and vice versa. Everyone who is kind is n... | Susan is kind. | contradiction | (![X]:((happy(X)<~>patient(X))=>(~strong(X)<~>~quiet(X))))&
((?[X]:(~creative(X)))=>(?[X]:((tall(X)<~>funny(X)))))&
((?[X]:((funny(X)&strong(X))))<=>((quiet(alice)&~curious(alice))))&
((?[X]:(~old(X)))<=>(?[X]:(curious(X))))&
(![X]:(kind(X)=>~kind(X)))&
((?[X]:((~curious(X)<~>quiet(X))))<=>(?[X]:((tall(X)|brave(X)))))&... | kind(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 3937066634148715934377107
% SZS output start Proof for 3937066634148715934377107
5. ! [X0] : (kind(X0) => ~kind(X0)) [input p4]
21. kind(susan) [input hypothesis]
30. ! [X0] : (~kind(X0) | ~kind(X0)) [ennf transformation 5]
96. ~kind(X0) | ~kind(X0) [cnf transformation 30]
143. kind(susan... | 0 |
Everyone who is strong or not patient is generous and vice versa.
Everyone who is both patient and happy is old.
If someone is not wise or not calm then someone is both brave and strong and vice versa.
Everyone who is not patient is both rich and not calm and vice versa.
Everyone who is humble or not creative is wise o... | Fred is not kind. | neutral | (![X]:((strong(X)|~patient(X))<=>generous(X)))&
(![X]:((patient(X)&happy(X))=>old(X)))&
((?[X]:((~wise(X)|~calm(X))))<=>(?[X]:((brave(X)&strong(X)))))&
(![X]:(~patient(X)<=>(rich(X)&~calm(X))))&
(![X]:((humble(X)|~creative(X))<=>(wise(X)|~tall(X))))&
((?[X]:((~creative(X)<~>~strong(X))))<=>((curious(mary)<~>~tall(mary)... | ~kind(fred) | [] | null | 0 |
If someone is either calm or patient then mary is calm.
Everyone who is both tall and strong is kind.
Everyone who is not calm is not wise or not curious and vice versa.
Everyone who is either creative or quiet is curious.
If paul is strong or not happy then someone is not quiet.
If susan is both not curious and not br... | Alice is not brave. | contradiction | ((?[X]:((calm(X)<~>patient(X))))=>(calm(mary)))&
(![X]:((tall(X)&strong(X))=>kind(X)))&
(![X]:(~calm(X)<=>(~wise(X)|~curious(X))))&
(![X]:((creative(X)<~>quiet(X))=>curious(X)))&
(((strong(paul)|~happy(paul)))=>(?[X]:(~quiet(X))))&
(((~curious(susan)&~brave(susan)))=>(?[X]:((happy(X)&~wise(X)))))&
(![X]:((~wise(X)<~>~c... | ~brave(alice) | [
"p2",
"p6",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3995390089774062518849943
% SZS output start Proof for 3995390089774062518849943
3. ! [X0] : (~calm(X0) <=> (~curious(X0) | ~wise(X0))) [input p2]
7. ! [X0] : ((~wise(X0) <~> ~calm(X0)) <=> (curious(X0) | quiet(X0))) [input p6]
10. ! [X0] : ((~creative(X0) <~> ~brave(X0)) <=> (~creative(X... | 0 |
Everyone who is not creative or quiet is not happy.
If someone is old or creative then mary is happy and vice versa.
Everyone who is old is either calm or humble.
If someone is not quiet or generous then someone is not tall.
If someone is either strong or not patient then someone is both not generous and creative.
Ever... | Mary is not curious. | contradiction | (![X]:((~creative(X)|quiet(X))=>~happy(X)))&
((?[X]:((old(X)|creative(X))))<=>(happy(mary)))&
(![X]:(old(X)=>(calm(X)<~>humble(X))))&
((?[X]:((~quiet(X)|generous(X))))=>(?[X]:(~tall(X))))&
((?[X]:((strong(X)<~>~patient(X))))=>(?[X]:((~generous(X)&creative(X)))))&
(![X]:(tall(X)<=>(~brave(X)<~>~curious(X))))&
((?[X]:((~... | ~curious(mary) | [
"p0",
"p1",
"p5",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5000924376036856512296095
% SZS output start Proof for 5000924376036856512296095
1. ! [X0] : ((quiet(X0) | ~creative(X0)) => ~happy(X0)) [input p0]
2. ? [X0] : (creative(X0) | old(X0)) <=> happy(mary) [input p1]
6. ! [X0] : (tall(X0) <=> (~brave(X0) <~> ~curious(X0))) [input p5]
9. ? [X0]... | 0 |
If someone is both wise and not brave then susan is both not tall and wise. If lucy is not tall then someone is either funny or not creative and vice versa. Everyone who is rich or not humble is both not kind and not curious and vice versa. Everyone who is happy or curious is both not happy and not rich. Everyone who i... | John is not quiet. | contradiction | ((?[X]:((wise(X)&~brave(X))))=>((~tall(susan)&wise(susan))))&
((~tall(lucy))<=>(?[X]:((funny(X)<~>~creative(X)))))&
(![X]:((rich(X)|~humble(X))<=>(~kind(X)&~curious(X))))&
(![X]:((happy(X)|curious(X))=>(~happy(X)&~rich(X))))&
(![X]:(~humble(X)=>~wise(X)))&
(![X]:((~humble(X)&calm(X))=>(rich(X)<~>calm(X))))&
(![X]:(~tal... | ~quiet(john) | [
"p3",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7767303168161538857536024
% SZS output start Proof for 7767303168161538857536024
4. ! [X0] : ((curious(X0) | happy(X0)) => (~rich(X0) & ~happy(X0))) [input p3]
9. ! [X0] : (~quiet(X0) <=> (strong(X0) & calm(X0))) [input p8]
12. ! [X0] : ((~calm(X0) & strong(X0)) <=> (creative(X0) | ~patie... | 0 |
If paul is either happy or not humble then someone is either kind or not curious. Everyone who is either tall or not patient is strong or tall and vice versa. If mary is both not brave and humble then john is both funny and not old and vice versa. If lucy is both tall and wise then someone is both calm and creative and... | Lucy is happy. | entailment | (((happy(paul)<~>~humble(paul)))=>(?[X]:((kind(X)<~>~curious(X)))))&
(![X]:((tall(X)<~>~patient(X))<=>(strong(X)|tall(X))))&
(((~brave(mary)&humble(mary)))<=>((funny(john)&~old(john))))&
(((tall(lucy)&wise(lucy)))<=>(?[X]:((calm(X)&creative(X)))))&
((?[X]:((kind(X)<~>wise(X))))=>((curious(paul)<~>~creative(paul))))&
((... | happy(lucy) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6424366590140446989340352
% SZS output start Proof for 6424366590140446989340352
14. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (~old(X0) <~> old(X0))) [input p13]
22. ~happy(lucy) [input hypothesis]
55. ! [X0] : (((happy(X0) & ~quiet(X0)) | ((~old(X0) | ~old(X0)) & (old(X0) | old(X0)))) & ((... | 0 |
If alice is not curious or not strong then someone is not old or not wise and vice versa.
If paul is either not curious or creative then someone is both not generous and not happy.
Everyone who is generous or not creative is not happy or not quiet.
Everyone who is not kind is either strong or not funny and vice versa.
... | Susan is tall. | contradiction | (((~curious(alice)|~strong(alice)))<=>(?[X]:((~old(X)|~wise(X)))))&
(((~curious(paul)<~>creative(paul)))=>(?[X]:((~generous(X)&~happy(X)))))&
(![X]:((generous(X)|~creative(X))=>(~happy(X)|~quiet(X))))&
(![X]:(~kind(X)<=>(strong(X)<~>~funny(X))))&
(![X]:((strong(X)&~generous(X))=>(~generous(X)|kind(X))))&
((?[X]:((gener... | tall(susan) | [
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 762032639273947892627283
% SZS output start Proof for 762032639273947892627283
7. ! [X0] : ((~rich(X0) & happy(X0)) <=> (quiet(X0) | tall(X0))) [input p6]
10. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> (~rich(X0) | ~brave(X0))) [input p9]
25. tall(susan) [input hypothesis]
49. ! [X0] : (((... | 0 |
Everyone who is not brave is both not quiet and not rich and vice versa.
Everyone who is both not tall and quiet is both not wise and not humble.
If someone is not brave then someone is either calm or humble.
Everyone who is not curious or not creative is calm or rich and vice versa.
If mary is brave or generous then s... | Alice is not calm. | entailment | (![X]:(~brave(X)<=>(~quiet(X)&~rich(X))))&
(![X]:((~tall(X)&quiet(X))=>(~wise(X)&~humble(X))))&
((?[X]:(~brave(X)))=>(?[X]:((calm(X)<~>humble(X)))))&
(![X]:((~curious(X)|~creative(X))<=>(calm(X)|rich(X))))&
(((brave(mary)|generous(mary)))=>(?[X]:(rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:((rich(X)&~rich(X))))... | ~calm(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2352409216791813884479055
% SZS output start Proof for 2352409216791813884479055
6. ? [X0] : (creative(X0) | calm(X0)) <=> ? [X0] : (~rich(X0) & rich(X0)) [input p5]
23. calm(alice) [input hypothesis]
25. ? [X0] : (creative(X0) | calm(X0)) <=> ? [X1] : (~rich(X1) & rich(X1)) [rectify 6]
5... | 0 |
Everyone who is not curious or not brave is patient and vice versa.
If someone is both not humble and patient then lucy is patient or happy.
Everyone who is curious or rich is not happy or curious.
If someone is both not generous and strong then alice is both not old and humble.
Everyone who is both wise and not calm i... | Alice is not generous. | entailment | (![X]:((~curious(X)|~brave(X))<=>patient(X)))&
((?[X]:((~humble(X)&patient(X))))=>((patient(lucy)|happy(lucy))))&
(![X]:((curious(X)|rich(X))=>(~happy(X)|curious(X))))&
((?[X]:((~generous(X)&strong(X))))=>((~old(alice)&humble(alice))))&
(![X]:((wise(X)&~calm(X))<=>~curious(X)))&
(![X]:((~humble(X)|tall(X))=>(~generous(... | ~generous(alice) | [
"p0",
"p4",
"p6",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 75537905988745388179332
% SZS output start Proof for 75537905988745388179332
1. ! [X0] : ((~brave(X0) | ~curious(X0)) <=> patient(X0)) [input p0]
5. ! [X0] : ((~calm(X0) & wise(X0)) <=> ~curious(X0)) [input p4]
7. ! [X0] : (patient(X0) => (curious(X0) & humble(X0))) [input p6]
14. ! [X0] ... | 0 |
If mary is both not generous and not calm then alice is not kind. Everyone who is strong is patient and vice versa. If lucy is not patient or funny then fred is tall or not patient and vice versa. If someone is either not brave or not generous then susan is kind or not old. Everyone who is not tall or not calm is humbl... | Mary is brave. | entailment | (((~generous(mary)&~calm(mary)))=>(~kind(alice)))&
(![X]:(strong(X)<=>patient(X)))&
(((~patient(lucy)|funny(lucy)))<=>((tall(fred)|~patient(fred))))&
((?[X]:((~brave(X)<~>~generous(X))))=>((kind(susan)|~old(susan))))&
(![X]:((~tall(X)|~calm(X))=>humble(X)))&
(![X]:((~calm(X)|~rich(X))<=>(~humble(X)|~kind(X))))&
((?[X]:... | brave(mary) | [
"p4",
"p5",
"p11",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 751152732399353725291754
% SZS output start Proof for 751152732399353725291754
5. ! [X0] : ((~calm(X0) | ~tall(X0)) => humble(X0)) [input p4]
6. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> (~kind(X0) | ~humble(X0))) [input p5]
12. ! [X0] : ((brave(X0) | wise(X0)) <=> (calm(X0) & ~wise(X0))) [in... | 0 |
If someone is either not brave or humble then someone is both happy and kind.
If mary is either happy or not humble then someone is both rich and happy.
Everyone who is wise or not wise is both wise and not funny and vice versa.
Everyone who is brave is either not calm or strong.
Everyone who is old or curious is brave... | Susan is not kind. | neutral | ((?[X]:((~brave(X)<~>humble(X))))=>(?[X]:((happy(X)&kind(X)))))&
(((happy(mary)<~>~humble(mary)))=>(?[X]:((rich(X)&happy(X)))))&
(![X]:((wise(X)|~wise(X))<=>(wise(X)&~funny(X))))&
(![X]:(brave(X)=>(~calm(X)<~>strong(X))))&
(![X]:((old(X)|curious(X))<=>(brave(X)|~happy(X))))&
(![X]:((~wise(X)|~rich(X))=>creative(X)))&
(... | ~kind(susan) | [] | null | 0 |
Everyone who is not old or old is happy or rich. Everyone who is both not curious and calm is old or not old and vice versa. If john is strong then lucy is tall or not kind. If john is either tall or not rich then someone is not quiet and vice versa. If fred is both not patient and wise then susan is not generous and v... | Fred is patient. | entailment | (![X]:((~old(X)|old(X))=>(happy(X)|rich(X))))&
(![X]:((~curious(X)&calm(X))<=>(old(X)|~old(X))))&
((strong(john))=>((tall(lucy)|~kind(lucy))))&
(((tall(john)<~>~rich(john)))<=>(?[X]:(~quiet(X))))&
(((~patient(fred)&wise(fred)))<=>(~generous(susan)))&
((?[X]:(~creative(X)))=>(?[X]:(old(X))))&
(![X]:(tall(X)=>(~kind(X)&~... | patient(fred) | [
"p1",
"p4",
"p8",
"p9",
"p11",
"p13",
"p14",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6713692878712353536911093
% SZS output start Proof for 6713692878712353536911093
2. ! [X0] : ((calm(X0) & ~curious(X0)) <=> (~old(X0) | old(X0))) [input p1]
5. (wise(fred) & ~patient(fred)) <=> ~generous(susan) [input p4]
9. ! [X0] : ((patient(X0) <~> ~calm(X0)) <=> (generous(X0) | curiou... | 0 |
Everyone who is either strong or not patient is not old and vice versa.
Everyone who is either not funny or quiet is both not wise and generous and vice versa.
If paul is both not creative and creative then someone is strong.
If lucy is not old then someone is not brave or quiet.
If someone is both wise and calm then s... | Mary is brave. | neutral | (![X]:((strong(X)<~>~patient(X))<=>~old(X)))&
(![X]:((~funny(X)<~>quiet(X))<=>(~wise(X)&generous(X))))&
(((~creative(paul)&creative(paul)))=>(?[X]:(strong(X))))&
((~old(lucy))=>(?[X]:((~brave(X)|quiet(X)))))&
((?[X]:((wise(X)&calm(X))))<=>(?[X]:((funny(X)|brave(X)))))&
((?[X]:((~old(X)&~wise(X))))<=>(?[X]:(~humble(X)))... | brave(mary) | [] | null | 0 |
If mary is curious then fred is tall or kind.
Everyone who is either wise or creative is brave or not brave.
Everyone who is brave or rich is both not funny and funny and vice versa.
Everyone who is brave or not calm is either generous or happy and vice versa.
If someone is old then alice is both creative and strong an... | Mary is not old. | entailment | ((curious(mary))=>((tall(fred)|kind(fred))))&
(![X]:((wise(X)<~>creative(X))=>(brave(X)|~brave(X))))&
(![X]:((brave(X)|rich(X))<=>(~funny(X)&funny(X))))&
(![X]:((brave(X)|~calm(X))<=>(generous(X)<~>happy(X))))&
((?[X]:(old(X)))<=>((creative(alice)&strong(alice))))&
(![X]:((~happy(X)|~strong(X))=>~curious(X)))&
(![X]:((... | ~old(mary) | [
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6881538786052103935867125
% SZS output start Proof for 6881538786052103935867125
3. ! [X0] : ((rich(X0) | brave(X0)) <=> (funny(X0) & ~funny(X0))) [input p2]
14. ? [X0] : old(X0) => (brave(susan) & humble(susan)) [input p13]
25. old(mary) [input hypothesis]
38. (brave(susan) & humble(susa... | 0 |
If someone is strong or not old then someone is rich or generous.
Everyone who is not kind is either not brave or rich.
Everyone who is curious or quiet is either calm or creative.
If someone is kind then someone is rich or creative and vice versa.
If john is both not happy and not rich then lucy is generous or tall an... | Susan is not humble. | neutral | ((?[X]:((strong(X)|~old(X))))=>(?[X]:((rich(X)|generous(X)))))&
(![X]:(~kind(X)=>(~brave(X)<~>rich(X))))&
(![X]:((curious(X)|quiet(X))=>(calm(X)<~>creative(X))))&
((?[X]:(kind(X)))<=>(?[X]:((rich(X)|creative(X)))))&
(((~happy(john)&~rich(john)))<=>((generous(lucy)|tall(lucy))))&
(((~creative(fred)|creative(fred)))<=>((... | ~humble(susan) | [] | null | 0 |
If someone is either old or rich then lucy is either happy or patient.
If someone is not kind then paul is both not strong and kind and vice versa.
Everyone who is both not tall and brave is not old and vice versa.
Everyone who is both not funny and wise is patient or rich.
Everyone who is either not kind or not old is... | Mary is rich. | neutral | ((?[X]:((old(X)<~>rich(X))))=>((happy(lucy)<~>patient(lucy))))&
((?[X]:(~kind(X)))<=>((~strong(paul)&kind(paul))))&
(![X]:((~tall(X)&brave(X))<=>~old(X)))&
(![X]:((~funny(X)&wise(X))=>(patient(X)|rich(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(~curious(X)&patient(X))))&
(![X]:((~curious(X)|~generous(X))<=>(curious(X)&~creat... | rich(mary) | [] | null | 0 |
If paul is not quiet or tall then susan is not strong.
If someone is not brave or kind then fred is both not brave and not creative and vice versa.
Everyone who is not tall or not strong is both generous and patient and vice versa.
Everyone who is both not kind and quiet is not patient and vice versa.
Everyone who is n... | John is not creative. | neutral | (((~quiet(paul)|tall(paul)))=>(~strong(susan)))&
((?[X]:((~brave(X)|kind(X))))<=>((~brave(fred)&~creative(fred))))&
(![X]:((~tall(X)|~strong(X))<=>(generous(X)&patient(X))))&
(![X]:((~kind(X)&quiet(X))<=>~patient(X)))&
(![X]:((~creative(X)|~strong(X))<=>tall(X)))&
(![X]:((old(X)<~>curious(X))=>~quiet(X)))&
(![X]:((quie... | ~creative(john) | [] | null | 0 |
Everyone who is humble is strong or quiet and vice versa. Everyone who is not funny or calm is brave or patient. If paul is both quiet and tall then fred is either not kind or not curious. Everyone who is not calm or not quiet is both not kind and not generous. If someone is both not funny and curious then someone is c... | Susan is curious. | contradiction | (![X]:(humble(X)<=>(strong(X)|quiet(X))))&
(![X]:((~funny(X)|calm(X))=>(brave(X)|patient(X))))&
(((quiet(paul)&tall(paul)))=>((~kind(fred)<~>~curious(fred))))&
(![X]:((~calm(X)|~quiet(X))=>(~kind(X)&~generous(X))))&
((?[X]:((~funny(X)&curious(X))))<=>(?[X]:(creative(X))))&
(((humble(lucy)<~>strong(lucy)))<=>((~curious(... | curious(susan) | [
"p0",
"p3",
"p10",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 858245968982312121623213
% SZS output start Proof for 858245968982312121623213
1. ! [X0] : (humble(X0) <=> (quiet(X0) | strong(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | ~calm(X0)) => (~generous(X0) & ~kind(X0))) [input p3]
11. ! [X0] : ((~humble(X0) | ~kind(X0)) => (patient(X0) <~> brav... | 0 |
Everyone who is brave or creative is either wise or tall. If alice is both not brave and old then paul is not patient. Everyone who is tall is either not wise or not tall. If someone is quiet then someone is both rich and creative and vice versa. If fred is either creative or patient then john is both not old and happy... | Alice is strong. | entailment | (![X]:((brave(X)|creative(X))=>(wise(X)<~>tall(X))))&
(((~brave(alice)&old(alice)))=>(~patient(paul)))&
(![X]:(tall(X)=>(~wise(X)<~>~tall(X))))&
((?[X]:(quiet(X)))<=>(?[X]:((rich(X)&creative(X)))))&
(((creative(fred)<~>patient(fred)))=>((~old(john)&happy(john))))&
(![X]:((~calm(X)&~rich(X))<=>(~curious(X)|~patient(X)))... | strong(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5807937700222594645410576
% SZS output start Proof for 5807937700222594645410576
16. ! [X0] : (~strong(X0) => (strong(X0) & tall(X0))) [input p15]
22. ~strong(alice) [input hypothesis]
37. ! [X0] : ((strong(X0) & tall(X0)) | strong(X0)) [ennf transformation 16]
112. strong(X0) | strong(X0... | 0 |
If someone is quiet then susan is either curious or not rich and vice versa.
Everyone who is either calm or old is not happy and vice versa.
If someone is not funny or calm then someone is both not patient and creative.
If paul is either calm or humble then paul is not kind.
Everyone who is either not creative or patie... | Susan is quiet. | neutral | ((?[X]:(quiet(X)))<=>((curious(susan)<~>~rich(susan))))&
(![X]:((calm(X)<~>old(X))<=>~happy(X)))&
((?[X]:((~funny(X)|calm(X))))=>(?[X]:((~patient(X)&creative(X)))))&
(((calm(paul)<~>humble(paul)))=>(~kind(paul)))&
(![X]:((~creative(X)<~>patient(X))=>rich(X)))&
(![X]:((~quiet(X)&calm(X))<=>(old(X)<~>~humble(X))))&
((?[X... | quiet(susan) | [] | null | 0 |
If someone is not wise or not calm then someone is either funny or happy.
Everyone who is both not patient and quiet is both generous and not quiet.
Everyone who is calm is either old or not creative.
If fred is both calm and not brave then someone is not strong or not happy and vice versa.
Everyone who is either brave... | Fred is not rich. | entailment | ((?[X]:((~wise(X)|~calm(X))))=>(?[X]:((funny(X)<~>happy(X)))))&
(![X]:((~patient(X)&quiet(X))=>(generous(X)&~quiet(X))))&
(![X]:(calm(X)=>(old(X)<~>~creative(X))))&
(((calm(fred)&~brave(fred)))<=>(?[X]:((~strong(X)|~happy(X)))))&
(![X]:((brave(X)<~>~strong(X))<=>(quiet(X)|~old(X))))&
((?[X]:(tall(X)))<=>(?[X]:((wise(X)... | ~rich(fred) | [
"p3",
"p4",
"p6",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7637981046675760990525227
% SZS output start Proof for 7637981046675760990525227
4. (~brave(fred) & calm(fred)) <=> ? [X0] : (~happy(X0) | ~strong(X0)) [input p3]
5. ! [X0] : ((brave(X0) <~> ~strong(X0)) <=> (~old(X0) | quiet(X0))) [input p4]
7. ! [X0] : (~funny(X0) <=> (funny(X0) | calm(... | 0 |
If someone is either not strong or not quiet then paul is either curious or brave and vice versa.
Everyone who is both not curious and curious is not calm or old.
Everyone who is both wise and calm is patient and vice versa.
If someone is both not brave and not kind then alice is funny or brave and vice versa.
Everyone... | Fred is strong. | neutral | ((?[X]:((~strong(X)<~>~quiet(X))))<=>((curious(paul)<~>brave(paul))))&
(![X]:((~curious(X)&curious(X))=>(~calm(X)|old(X))))&
(![X]:((wise(X)&calm(X))<=>patient(X)))&
((?[X]:((~brave(X)&~kind(X))))<=>((funny(alice)|brave(alice))))&
(![X]:(~creative(X)<=>~happy(X)))&
(![X]:((~funny(X)|calm(X))<=>curious(X)))&
(![X]:((~ha... | strong(fred) | [] | null | 0 |
If lucy is either not quiet or not wise then lucy is humble or quiet. Everyone who is kind is old or humble. If paul is both kind and old then alice is quiet. Everyone who is both not happy and not curious is both not rich and not generous and vice versa. Everyone who is happy or not curious is both not rich and curiou... | Lucy is not wise. | neutral | (((~quiet(lucy)<~>~wise(lucy)))=>((humble(lucy)|quiet(lucy))))&
(![X]:(kind(X)=>(old(X)|humble(X))))&
(((kind(paul)&old(paul)))=>(quiet(alice)))&
(![X]:((~happy(X)&~curious(X))<=>(~rich(X)&~generous(X))))&
(![X]:((happy(X)|~curious(X))<=>(~rich(X)&curious(X))))&
(((funny(alice)|humble(alice)))=>((~brave(john)<~>~happy(... | ~wise(lucy) | [] | null | 0 |
If john is brave or not creative then paul is not tall and vice versa.
Everyone who is not wise or strong is either not generous or patient and vice versa.
Everyone who is not old is curious or not humble and vice versa.
If mary is either quiet or old then someone is both brave and generous.
If alice is both not genero... | Lucy is generous. | neutral | (((brave(john)|~creative(john)))<=>(~tall(paul)))&
(![X]:((~wise(X)|strong(X))<=>(~generous(X)<~>patient(X))))&
(![X]:(~old(X)<=>(curious(X)|~humble(X))))&
(((quiet(mary)<~>old(mary)))=>(?[X]:((brave(X)&generous(X)))))&
(((~generous(alice)&~rich(alice)))<=>(?[X]:((strong(X)<~>~brave(X)))))&
(![X]:((~happy(X)<~>brave(X)... | generous(lucy) | [] | null | 0 |
If mary is either not patient or patient then someone is quiet or not humble.
If someone is both not curious and brave then someone is either not generous or not kind.
If someone is not rich or not quiet then lucy is kind and vice versa.
Everyone who is not brave or not patient is both old and not curious and vice vers... | Mary is tall. | contradiction | (((~patient(mary)<~>patient(mary)))=>(?[X]:((quiet(X)|~humble(X)))))&
((?[X]:((~curious(X)&brave(X))))=>(?[X]:((~generous(X)<~>~kind(X)))))&
((?[X]:((~rich(X)|~quiet(X))))<=>(kind(lucy)))&
(![X]:((~brave(X)|~patient(X))<=>(old(X)&~curious(X))))&
((?[X]:(~humble(X)))=>(?[X]:(~curious(X))))&
(((creative(john)|~wise(john)... | tall(mary) | [
"p3",
"p6",
"p8",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7721642793322796827600978
% SZS output start Proof for 7721642793322796827600978
4. ! [X0] : ((~patient(X0) | ~brave(X0)) <=> (~curious(X0) & old(X0))) [input p3]
7. ? [X0] : (~creative(X0) | ~kind(X0)) <=> ? [X0] : (~humble(X0) & ~old(X0)) [input p6]
9. ! [X0] : ((~wise(X0) & ~tall(X0)) ... | 0 |
Everyone who is generous is happy or not wise and vice versa.
Everyone who is not old is both not quiet and creative and vice versa.
If someone is either kind or not happy then lucy is both not rich and old and vice versa.
Everyone who is rich or not kind is both not happy and not creative and vice versa.
If someone is... | Alice is not quiet. | neutral | (![X]:(generous(X)<=>(happy(X)|~wise(X))))&
(![X]:(~old(X)<=>(~quiet(X)&creative(X))))&
((?[X]:((kind(X)<~>~happy(X))))<=>((~rich(lucy)&old(lucy))))&
(![X]:((rich(X)|~kind(X))<=>(~happy(X)&~creative(X))))&
((?[X]:((curious(X)|generous(X))))=>((patient(susan)<~>old(susan))))&
(![X]:((humble(X)|~old(X))=>(~humble(X)|happ... | ~quiet(alice) | [] | null | 0 |
Everyone who is both not tall and funny is either not curious or generous. Everyone who is not generous or not old is creative. Everyone who is funny is either not creative or tall and vice versa. If alice is either not happy or not generous then paul is calm and vice versa. Everyone who is not funny is not generous. E... | Paul is not generous. | entailment | (![X]:((~tall(X)&funny(X))=>(~curious(X)<~>generous(X))))&
(![X]:((~generous(X)|~old(X))=>creative(X)))&
(![X]:(funny(X)<=>(~creative(X)<~>tall(X))))&
(((~happy(alice)<~>~generous(alice)))<=>(calm(paul)))&
(![X]:(~funny(X)=>~generous(X)))&
(![X]:(~quiet(X)=>(patient(X)|quiet(X))))&
(((~kind(susan)<~>~generous(susan)))=... | ~generous(paul) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8892417142990746151640537
% SZS output start Proof for 8892417142990746151640537
1. ! [X0] : ((funny(X0) & ~tall(X0)) => (~curious(X0) <~> generous(X0))) [input p0]
2. ! [X0] : ((~old(X0) | ~generous(X0)) => creative(X0)) [input p1]
3. ! [X0] : (funny(X0) <=> (~creative(X0) <~> tall(X0)))... | 0 |
If someone is not brave or funny then lucy is both not generous and not quiet and vice versa.
If someone is humble then someone is happy or not wise and vice versa.
If someone is either wise or not humble then someone is creative and vice versa.
Everyone who is either not rich or rich is both strong and not old and vic... | Susan is not brave. | contradiction | ((?[X]:((~brave(X)|funny(X))))<=>((~generous(lucy)&~quiet(lucy))))&
((?[X]:(humble(X)))<=>(?[X]:((happy(X)|~wise(X)))))&
((?[X]:((wise(X)<~>~humble(X))))<=>(?[X]:(creative(X))))&
(![X]:((~rich(X)<~>rich(X))<=>(strong(X)&~old(X))))&
(![X]:((creative(X)&calm(X))<=>~rich(X)))&
((?[X]:(~wise(X)))<=>((~wise(susan)&happy(sus... | ~brave(susan) | [
"p0",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1089415284134344893238042
% SZS output start Proof for 1089415284134344893238042
1. ? [X0] : (funny(X0) | ~brave(X0)) <=> (~quiet(lucy) & ~generous(lucy)) [input p0]
10. ! [X0] : (~patient(X0) <=> ~quiet(X0)) [input p9]
11. ! [X0] : (~patient(X0) => quiet(X0)) [input p10]
22. ~brave(susan... | 0 |
Everyone who is either generous or curious is wise.
If paul is either brave or not brave then someone is not wise or old.
If someone is not curious or quiet then alice is either humble or not kind and vice versa.
If someone is not happy then someone is humble.
If someone is not tall or not brave then someone is both no... | Alice is not creative. | entailment | (![X]:((generous(X)<~>curious(X))=>wise(X)))&
(((brave(paul)<~>~brave(paul)))=>(?[X]:((~wise(X)|old(X)))))&
((?[X]:((~curious(X)|quiet(X))))<=>((humble(alice)<~>~kind(alice))))&
((?[X]:(~happy(X)))=>(?[X]:(humble(X))))&
((?[X]:((~tall(X)|~brave(X))))<=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((creative(X)|wise(X))=>quiet(X... | ~creative(alice) | [
"p4",
"p5",
"p7",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2201438045068929426296524
% SZS output start Proof for 2201438045068929426296524
5. ? [X0] : (~brave(X0) | ~tall(X0)) <=> ? [X0] : (wise(X0) & ~tall(X0)) [input p4]
6. ! [X0] : ((wise(X0) | creative(X0)) => quiet(X0)) [input p5]
8. ! [X0] : ((~tall(X0) | ~humble(X0)) <=> (~brave(X0) & ~pa... | 0 |
Everyone who is strong or not tall is either not curious or curious and vice versa.
Everyone who is rich or patient is both not curious and calm.
Everyone who is not patient or calm is both not creative and not calm and vice versa.
If mary is either not quiet or kind then paul is either humble or quiet and vice versa.
... | Paul is not rich. | entailment | (![X]:((strong(X)|~tall(X))<=>(~curious(X)<~>curious(X))))&
(![X]:((rich(X)|patient(X))=>(~curious(X)&calm(X))))&
(![X]:((~patient(X)|calm(X))<=>(~creative(X)&~calm(X))))&
(((~quiet(mary)<~>kind(mary)))<=>((humble(paul)<~>quiet(paul))))&
((kind(mary))<=>(tall(alice)))&
((?[X]:((quiet(X)&~strong(X))))=>(curious(susan)))... | ~rich(paul) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1071132235233978121956487
% SZS output start Proof for 1071132235233978121956487
2. ! [X0] : ((patient(X0) | rich(X0)) => (calm(X0) & ~curious(X0))) [input p1]
3. ! [X0] : ((calm(X0) | ~patient(X0)) <=> (~calm(X0) & ~creative(X0))) [input p2]
20. rich(paul) [input hypothesis]
23. ! [X0] :... | 0 |
If someone is kind then john is not quiet or humble and vice versa.
Everyone who is not generous is not generous or old and vice versa.
If susan is generous then alice is both not kind and not wise and vice versa.
Everyone who is either not quiet or funny is rich.
If someone is either old or curious then lucy is either... | Paul is kind. | entailment | ((?[X]:(kind(X)))<=>((~quiet(john)|humble(john))))&
(![X]:(~generous(X)<=>(~generous(X)|old(X))))&
((generous(susan))<=>((~kind(alice)&~wise(alice))))&
(![X]:((~quiet(X)<~>funny(X))=>rich(X)))&
((?[X]:((old(X)<~>curious(X))))<=>((~brave(lucy)<~>strong(lucy))))&
((?[X]:((strong(X)&brave(X))))<=>(?[X]:(curious(X))))&
(![... | kind(paul) | [
"p5",
"p8",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 89140490649957942930943
% SZS output start Proof for 89140490649957942930943
6. ? [X0] : (brave(X0) & strong(X0)) <=> ? [X0] : curious(X0) [input p5]
9. ! [X0] : (humble(X0) => (~curious(X0) <~> ~brave(X0))) [input p8]
14. ! [X0] : ((~kind(X0) | ~calm(X0)) => (strong(X0) & humble(X0))) [i... | 0 |
If someone is both quiet and not wise then someone is either not kind or not curious and vice versa.
Everyone who is both wise and kind is wise.
Everyone who is funny is both not tall and not brave.
Everyone who is not humble or creative is tall or not tall.
If someone is both brave and not creative then fred is quiet ... | Susan is rich. | neutral | ((?[X]:((quiet(X)&~wise(X))))<=>(?[X]:((~kind(X)<~>~curious(X)))))&
(![X]:((wise(X)&kind(X))=>wise(X)))&
(![X]:(funny(X)=>(~tall(X)&~brave(X))))&
(![X]:((~humble(X)|creative(X))=>(tall(X)|~tall(X))))&
((?[X]:((brave(X)&~creative(X))))<=>(quiet(fred)))&
(![X]:((~generous(X)|humble(X))<=>(strong(X)<~>~strong(X))))&
(![X]... | rich(susan) | [] | null | 0 |
If fred is both not creative and humble then someone is funny and vice versa. Everyone who is either not funny or patient is both not kind and not generous. Everyone who is both not funny and creative is humble. Everyone who is not kind is not strong or happy and vice versa. If someone is either not funny or not genero... | Susan is not funny. | contradiction | (((~creative(fred)&humble(fred)))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)<~>patient(X))=>(~kind(X)&~generous(X))))&
(![X]:((~funny(X)&creative(X))=>humble(X)))&
(![X]:(~kind(X)<=>(~strong(X)|happy(X))))&
((?[X]:((~funny(X)<~>~generous(X))))<=>(?[X]:((rich(X)&patient(X)))))&
((happy(fred))=>(?[X]:((creative(X)&~rich(X))... | ~funny(susan) | [
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2190255490118517010728508
% SZS output start Proof for 2190255490118517010728508
4. ! [X0] : (~kind(X0) <=> (happy(X0) | ~strong(X0))) [input p3]
7. ! [X0] : ((~strong(X0) <~> ~funny(X0)) => (kind(X0) & funny(X0))) [input p6]
10. ! [X0] : ((~kind(X0) <~> strong(X0)) => (~humble(X0) & kind... | 0 |
If fred is patient then someone is not curious or curious and vice versa.
If fred is old or calm then paul is curious and vice versa.
Everyone who is both not happy and funny is either old or not creative.
If someone is tall or not quiet then paul is both not strong and not old and vice versa.
If susan is tall then som... | Susan is generous. | neutral | ((patient(fred))<=>(?[X]:((~curious(X)|curious(X)))))&
(((old(fred)|calm(fred)))<=>(curious(paul)))&
(![X]:((~happy(X)&funny(X))=>(old(X)<~>~creative(X))))&
((?[X]:((tall(X)|~quiet(X))))<=>((~strong(paul)&~old(paul))))&
((tall(susan))=>(?[X]:(calm(X))))&
(![X]:((tall(X)|rich(X))=>(~calm(X)<~>rich(X))))&
(((quiet(lucy)<... | generous(susan) | [] | null | 0 |
Everyone who is not brave is tall and vice versa.
Everyone who is creative or tall is funny or not tall.
If someone is funny or happy then someone is not funny or not generous and vice versa.
If susan is not kind or generous then someone is either curious or generous and vice versa.
Everyone who is both calm and not cu... | Susan is generous. | neutral | (![X]:(~brave(X)<=>tall(X)))&
(![X]:((creative(X)|tall(X))=>(funny(X)|~tall(X))))&
((?[X]:((funny(X)|happy(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(((~kind(susan)|generous(susan)))<=>(?[X]:((curious(X)<~>generous(X)))))&
(![X]:((calm(X)&~curious(X))<=>funny(X)))&
(![X]:(~old(X)<=>(~humble(X)&~tall(X))))&
((?[X]:((~... | generous(susan) | [] | null | 0 |
If someone is happy then someone is either not happy or not brave.
If alice is both not humble and not quiet then lucy is both calm and happy and vice versa.
Everyone who is not strong or rich is not old.
Everyone who is either strong or calm is either not old or happy.
Everyone who is both calm and not rich is both pa... | Alice is not old. | entailment | ((?[X]:(happy(X)))=>(?[X]:((~happy(X)<~>~brave(X)))))&
(((~humble(alice)&~quiet(alice)))<=>((calm(lucy)&happy(lucy))))&
(![X]:((~strong(X)|rich(X))=>~old(X)))&
(![X]:((strong(X)<~>calm(X))=>(~old(X)<~>happy(X))))&
(![X]:((calm(X)&~rich(X))=>(patient(X)&calm(X))))&
(((~strong(paul)&generous(paul)))=>((~calm(fred)&~stron... | ~old(alice) | [
"p2",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3757452416785855300208896
% SZS output start Proof for 3757452416785855300208896
3. ! [X0] : ((rich(X0) | ~strong(X0)) => ~old(X0)) [input p2]
9. ! [X0] : (~rich(X0) => ~creative(X0)) [input p8]
24. creative(alice) [input p23]
25. old(alice) [input hypothesis]
30. ! [X0] : (~old(X0) | (~r... | 0 |
Everyone who is not strong or not funny is either not curious or kind.
Everyone who is not calm or kind is not quiet or not old.
Everyone who is not calm or quiet is either curious or quiet and vice versa.
If paul is both generous and not creative then someone is either not happy or not tall and vice versa.
Everyone wh... | Paul is calm. | entailment | (![X]:((~strong(X)|~funny(X))=>(~curious(X)<~>kind(X))))&
(![X]:((~calm(X)|kind(X))=>(~quiet(X)|~old(X))))&
(![X]:((~calm(X)|quiet(X))<=>(curious(X)<~>quiet(X))))&
(((generous(paul)&~creative(paul)))<=>(?[X]:((~happy(X)<~>~tall(X)))))&
(![X]:(old(X)<=>(~quiet(X)|~creative(X))))&
(![X]:(calm(X)<=>(~happy(X)<~>strong(X))... | calm(paul) | [
"p0",
"p2",
"p7",
"p11",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 579491112276160985730060
% SZS output start Proof for 579491112276160985730060
1. ! [X0] : ((~funny(X0) | ~strong(X0)) => (~curious(X0) <~> kind(X0))) [input p0]
3. ! [X0] : ((quiet(X0) | ~calm(X0)) <=> (curious(X0) <~> quiet(X0))) [input p2]
8. ~kind(paul) <=> ? [X0] : (~calm(X0) & ~quie... | 0 |
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