premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not funny or kind is brave or not quiet and vice versa. Everyone who is calm or not happy is either not creative or not strong and vice versa. Everyone who is both wise and creative is not generous. If alice is both not generous and wise then someone is both not happy and not funny and vice versa... | Fred is wise. | contradiction | (![X]:((~funny(X)<~>kind(X))<=>(brave(X)|~quiet(X))))&
(![X]:((calm(X)|~happy(X))<=>(~creative(X)<~>~strong(X))))&
(![X]:((wise(X)&creative(X))=>~generous(X)))&
(((~generous(alice)&wise(alice)))<=>(?[X]:((~happy(X)&~funny(X)))))&
((?[X]:((generous(X)|~humble(X))))<=>((~brave(fred)|~wise(fred))))&
(![X]:(rich(X)=>(happy... | wise(fred) | [
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2810002383556521848754910
% SZS output start Proof for 2810002383556521848754910
6. ! [X0] : (rich(X0) => (~tall(X0) & happy(X0))) [input p5]
8. ! [X0] : ((~wise(X0) & ~creative(X0)) <=> ~rich(X0)) [input p7]
9. ! [X0] : ((~humble(X0) | wise(X0)) => ~happy(X0)) [input p8]
21. wise(fred) [... | 0 |
If lucy is brave then mary is calm and vice versa.
If mary is not creative or not quiet then fred is not quiet and vice versa.
If someone is happy or not tall then alice is wise or old and vice versa.
Everyone who is not curious or curious is not humble and vice versa.
If someone is either wise or not wise then alice i... | Alice is not curious. | neutral | ((brave(lucy))<=>(calm(mary)))&
(((~creative(mary)|~quiet(mary)))<=>(~quiet(fred)))&
((?[X]:((happy(X)|~tall(X))))<=>((wise(alice)|old(alice))))&
(![X]:((~curious(X)|curious(X))<=>~humble(X)))&
((?[X]:((wise(X)<~>~wise(X))))<=>(~humble(alice)))&
(![X]:((creative(X)|~generous(X))<=>curious(X)))&
(((humble(paul)&~funny(p... | ~curious(alice) | [] | null | 0 |
Everyone who is strong is not humble or creative. If paul is not calm or not old then someone is not strong or patient. Everyone who is humble is both not brave and not happy. Everyone who is not creative or tall is either not patient or old and vice versa. Everyone who is creative is not rich and vice versa. If someon... | Alice is not happy. | contradiction | (![X]:(strong(X)=>(~humble(X)|creative(X))))&
(((~calm(paul)|~old(paul)))=>(?[X]:((~strong(X)|patient(X)))))&
(![X]:(humble(X)=>(~brave(X)&~happy(X))))&
(![X]:((~creative(X)|tall(X))<=>(~patient(X)<~>old(X))))&
(![X]:(creative(X)<=>~rich(X)))&
((?[X]:((~patient(X)&rich(X))))=>((happy(lucy)<~>funny(lucy))))&
(![X]:((str... | ~happy(alice) | [
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 372987864871576562989770
% SZS output start Proof for 372987864871576562989770
4. ! [X0] : ((tall(X0) | ~creative(X0)) <=> (~patient(X0) <~> old(X0))) [input p3]
7. ! [X0] : ((~tall(X0) | strong(X0)) <=> happy(X0)) [input p6]
10. ! [X0] : ((patient(X0) <~> ~old(X0)) => (~patient(X0) & pat... | 0 |
Everyone who is not brave is not calm or not curious. Everyone who is either not brave or humble is both not patient and not creative. Everyone who is brave or rich is both not funny and old and vice versa. If someone is not funny then lucy is not quiet or calm and vice versa. If alice is creative then alice is either ... | Lucy is not generous. | neutral | (![X]:(~brave(X)=>(~calm(X)|~curious(X))))&
(![X]:((~brave(X)<~>humble(X))=>(~patient(X)&~creative(X))))&
(![X]:((brave(X)|rich(X))<=>(~funny(X)&old(X))))&
((?[X]:(~funny(X)))<=>((~quiet(lucy)|calm(lucy))))&
((creative(alice))<=>((old(alice)<~>~rich(alice))))&
(![X]:((~funny(X)|generous(X))=>humble(X)))&
((?[X]:((funny... | ~generous(lucy) | [] | null | 0 |
If mary is either tall or not kind then someone is old.
Everyone who is strong or generous is old and vice versa.
Everyone who is both not old and wise is both humble and funny and vice versa.
Everyone who is both generous and not quiet is not happy or not quiet.
If alice is either tall or not humble then alice is eith... | Paul is tall. | entailment | (((tall(mary)<~>~kind(mary)))=>(?[X]:(old(X))))&
(![X]:((strong(X)|generous(X))<=>old(X)))&
(![X]:((~old(X)&wise(X))<=>(humble(X)&funny(X))))&
(![X]:((generous(X)&~quiet(X))=>(~happy(X)|~quiet(X))))&
(((tall(alice)<~>~humble(alice)))<=>((~funny(alice)<~>funny(alice))))&
(![X]:((creative(X)|tall(X))<=>(generous(X)&~funn... | tall(paul) | [
"p5",
"p6",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7865273243082612809240816
% SZS output start Proof for 7865273243082612809240816
6. ! [X0] : ((tall(X0) | creative(X0)) <=> (~funny(X0) & generous(X0))) [input p5]
7. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~funny(X0) <~> ~tall(X0))) [input p6]
10. ! [X0] : (happy(X0) <=> (~kind(X0) | ~hap... | 0 |
Everyone who is funny is kind or generous. If john is either not wise or not calm then alice is either not curious or calm and vice versa. Everyone who is both not patient and creative is not wise or brave. If mary is both generous and quiet then someone is either strong or not kind and vice versa. Everyone who is both... | Lucy is tall. | contradiction | (![X]:(funny(X)=>(kind(X)|generous(X))))&
(((~wise(john)<~>~calm(john)))<=>((~curious(alice)<~>calm(alice))))&
(![X]:((~patient(X)&creative(X))=>(~wise(X)|brave(X))))&
(((generous(mary)&quiet(mary)))<=>(?[X]:((strong(X)<~>~kind(X)))))&
(![X]:((tall(X)&generous(X))<=>curious(X)))&
((~creative(lucy))=>((humble(fred)&happ... | tall(lucy) | [
"p4",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7761295019845270315276635
% SZS output start Proof for 7761295019845270315276635
5. ! [X0] : ((generous(X0) & tall(X0)) <=> curious(X0)) [input p4]
10. ! [X0] : (kind(X0) => ~kind(X0)) [input p9]
13. ! [X0] : ((~generous(X0) | creative(X0)) => (wise(X0) & ~wise(X0))) [input p12]
16. ! [X0... | 0 |
If susan is both not generous and strong then someone is both not brave and not rich. If someone is either not funny or not patient then someone is both wise and not old and vice versa. Everyone who is either not wise or kind is both happy and humble and vice versa. Everyone who is either not brave or not humble is bra... | Susan is not curious. | neutral | (((~generous(susan)&strong(susan)))=>(?[X]:((~brave(X)&~rich(X)))))&
((?[X]:((~funny(X)<~>~patient(X))))<=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((~wise(X)<~>kind(X))<=>(happy(X)&humble(X))))&
(![X]:((~brave(X)<~>~humble(X))<=>(brave(X)|~happy(X))))&
(![X]:(~happy(X)=>~humble(X)))&
((kind(lucy))<=>(?[X]:((~strong(X)|wise(... | ~curious(susan) | [] | null | 0 |
If someone is both funny and not calm then someone is both brave and not funny and vice versa.
Everyone who is not humble is either not funny or not humble.
Everyone who is both not brave and quiet is tall and vice versa.
If paul is not curious then someone is not strong or generous and vice versa.
Everyone who is both... | Paul is not patient. | entailment | ((?[X]:((funny(X)&~calm(X))))<=>(?[X]:((brave(X)&~funny(X)))))&
(![X]:(~humble(X)=>(~funny(X)<~>~humble(X))))&
(![X]:((~brave(X)&quiet(X))<=>tall(X)))&
((~curious(paul))<=>(?[X]:((~strong(X)|generous(X)))))&
(![X]:((~rich(X)&calm(X))=>~curious(X)))&
(((~old(fred)<~>kind(fred)))<=>(?[X]:(~funny(X))))&
(((~creative(alice... | ~patient(paul) | [
"p3",
"p8",
"p19",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1680736355196441769291754
% SZS output start Proof for 1680736355196441769291754
4. ~curious(paul) <=> ? [X0] : (generous(X0) | ~strong(X0)) [input p3]
9. ! [X0] : ((~brave(X0) <~> curious(X0)) <=> patient(X0)) [input p8]
20. ? [X0] : generous(X0) [input p19]
23. ~wise(paul) & brave(paul)... | 0 |
Everyone who is not curious or brave is not brave or humble and vice versa.
If alice is not rich then someone is old.
If alice is not funny or calm then john is generous and vice versa.
Everyone who is not happy or not calm is either generous or creative and vice versa.
Everyone who is both creative and not strong is b... | Susan is not brave. | neutral | (![X]:((~curious(X)|brave(X))<=>(~brave(X)|humble(X))))&
((~rich(alice))=>(?[X]:(old(X))))&
(((~funny(alice)|calm(alice)))<=>(generous(john)))&
(![X]:((~happy(X)|~calm(X))<=>(generous(X)<~>creative(X))))&
(![X]:((creative(X)&~strong(X))=>(rich(X)&humble(X))))&
((?[X]:((funny(X)|~calm(X))))=>(funny(fred)))&
(![X]:((~tal... | ~brave(susan) | [] | null | 0 |
Everyone who is both not tall and not kind is funny or brave and vice versa.
If john is quiet then john is either humble or curious and vice versa.
Everyone who is generous is either tall or quiet.
If someone is either not wise or kind then john is both brave and not strong.
Everyone who is not brave is both brave and ... | Mary is humble. | contradiction | (![X]:((~tall(X)&~kind(X))<=>(funny(X)|brave(X))))&
((quiet(john))<=>((humble(john)<~>curious(john))))&
(![X]:(generous(X)=>(tall(X)<~>quiet(X))))&
((?[X]:((~wise(X)<~>kind(X))))=>((brave(john)&~strong(john))))&
(![X]:(~brave(X)=>(brave(X)&~brave(X))))&
(![X]:((calm(X)&~quiet(X))=>~brave(X)))&
((?[X]:((~old(X)|curious(... | humble(mary) | [
"p4",
"p5",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8699759104346626021860225
% SZS output start Proof for 8699759104346626021860225
5. ! [X0] : (~brave(X0) => (~brave(X0) & brave(X0))) [input p4]
6. ! [X0] : ((~quiet(X0) & calm(X0)) => ~brave(X0)) [input p5]
10. ! [X0] : ((quiet(X0) <~> ~kind(X0)) <=> ~kind(X0)) [input p9]
11. ! [X0] : ((... | 0 |
Everyone who is quiet or strong is either humble or happy.
Everyone who is both funny and humble is rich.
Everyone who is both happy and not wise is rich and vice versa.
If someone is quiet or not curious then fred is both not rich and old and vice versa.
If someone is either old or not humble then john is both not qui... | Alice is wise. | entailment | (![X]:((quiet(X)|strong(X))=>(humble(X)<~>happy(X))))&
(![X]:((funny(X)&humble(X))=>rich(X)))&
(![X]:((happy(X)&~wise(X))<=>rich(X)))&
((?[X]:((quiet(X)|~curious(X))))<=>((~rich(fred)&old(fred))))&
((?[X]:((old(X)<~>~humble(X))))=>((~quiet(john)&~brave(john))))&
(![X]:(tall(X)<=>(kind(X)|~curious(X))))&
(![X]:((wise(X)... | wise(alice) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 605109225788806403771248
% SZS output start Proof for 605109225788806403771248
2. ! [X0] : ((humble(X0) & funny(X0)) => rich(X0)) [input p1]
3. ! [X0] : ((~wise(X0) & happy(X0)) <=> rich(X0)) [input p2]
5. ? [X0] : (old(X0) <~> ~humble(X0)) => (~brave(john) & ~quiet(john)) [input p4]
6. !... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa.
Everyone who is both not calm and creative is both not happy and not patient and vice versa.
Everyone who is not tall or not calm is either not strong or curious and vice versa.
If alice is strong or happy then someone is not tall or... | Paul is happy. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~tall(X)|~calm(X))<=>(~strong(X)<~>curious(X))))&
(((strong(alice)|happy(alice)))<=>(?[X]:((~tall(X)|~humble(X)))))&
(((~creative(paul)&~generous(paul)))=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]... | happy(paul) | [
"p1",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 921675032931918508846781
% SZS output start Proof for 921675032931918508846781
2. ! [X0] : ((creative(X0) & ~calm(X0)) <=> (~patient(X0) & ~happy(X0))) [input p1]
6. ! [X0] : ((patient(X0) | rich(X0)) => (~humble(X0) & humble(X0))) [input p5]
14. ! [X0] : ((funny(X0) | creative(X0)) <=> (... | 0 |
If paul is both creative and not creative then someone is either strong or humble.
Everyone who is both tall and not kind is either wise or kind and vice versa.
If someone is not old or not kind then someone is either funny or not curious.
Everyone who is not curious is not strong or not happy.
Everyone who is either n... | Mary is curious. | contradiction | (((creative(paul)&~creative(paul)))=>(?[X]:((strong(X)<~>humble(X)))))&
(![X]:((tall(X)&~kind(X))<=>(wise(X)<~>kind(X))))&
((?[X]:((~old(X)|~kind(X))))=>(?[X]:((funny(X)<~>~curious(X)))))&
(![X]:(~curious(X)=>(~strong(X)|~happy(X))))&
(![X]:((~kind(X)<~>brave(X))<=>(~patient(X)<~>strong(X))))&
(![X]:((~calm(X)&~rich(X)... | curious(mary) | [
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1545243300528177274507981
% SZS output start Proof for 1545243300528177274507981
13. (~curious(mary) & old(mary)) <=> ? [X0] : (quiet(X0) | funny(X0)) [input p12]
23. ? [X0] : (funny(X0) | quiet(X0)) [input p22]
25. curious(mary) [input hypothesis]
62. ((~curious(mary) & old(mary)) | ! [X... | 0 |
If someone is not curious or not happy then alice is both kind and humble. If someone is both not tall and not patient then someone is both strong and tall and vice versa. If someone is not generous or not strong then john is either strong or tall. If paul is not kind then someone is not happy or patient. If someone is... | John is curious. | entailment | ((?[X]:((~curious(X)|~happy(X))))=>((kind(alice)&humble(alice))))&
((?[X]:((~tall(X)&~patient(X))))<=>(?[X]:((strong(X)&tall(X)))))&
((?[X]:((~generous(X)|~strong(X))))=>((strong(john)<~>tall(john))))&
((~kind(paul))=>(?[X]:((~happy(X)|patient(X)))))&
((?[X]:((quiet(X)&~brave(X))))<=>(?[X]:((calm(X)<~>~calm(X)))))&
((?... | curious(john) | [
"p0",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5010564090110222616747365
% SZS output start Proof for 5010564090110222616747365
1. ? [X0] : (~happy(X0) | ~curious(X0)) => (humble(alice) & kind(alice)) [input p0]
21. funny(alice) & ~kind(alice) [input p20]
25. ~curious(john) [input hypothesis]
32. ~kind(alice) [pure predicate removal 2... | 0 |
If someone is not rich or curious then alice is either brave or funny and vice versa.
Everyone who is not humble is both humble and not patient and vice versa.
If lucy is either not rich or not generous then fred is either not kind or patient.
If lucy is either not rich or generous then lucy is not generous or brave.
E... | Susan is happy. | neutral | ((?[X]:((~rich(X)|curious(X))))<=>((brave(alice)<~>funny(alice))))&
(![X]:(~humble(X)<=>(humble(X)&~patient(X))))&
(((~rich(lucy)<~>~generous(lucy)))=>((~kind(fred)<~>patient(fred))))&
(((~rich(lucy)<~>generous(lucy)))=>((~generous(lucy)|brave(lucy))))&
(![X]:(~curious(X)=>(old(X)<~>~tall(X))))&
((?[X]:(~humble(X)))=>(... | happy(susan) | [] | null | 0 |
If alice is both curious and not funny then fred is generous and vice versa.
Everyone who is both not generous and not tall is both humble and not happy.
If alice is both rich and not generous then john is both calm and not kind.
If fred is both calm and not generous then someone is either rich or not curious and vice ... | Mary is patient. | neutral | (((curious(alice)&~funny(alice)))<=>(generous(fred)))&
(![X]:((~generous(X)&~tall(X))=>(humble(X)&~happy(X))))&
(((rich(alice)&~generous(alice)))=>((calm(john)&~kind(john))))&
(((calm(fred)&~generous(fred)))<=>(?[X]:((rich(X)<~>~curious(X)))))&
(![X]:((~old(X)<~>happy(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X... | patient(mary) | [] | null | 0 |
If someone is old then someone is either curious or not patient. Everyone who is not calm or generous is not humble or not wise and vice versa. Everyone who is both rich and not curious is old or creative and vice versa. If someone is not old then fred is both old and patient. Everyone who is both not tall and not happ... | Fred is not curious. | entailment | ((?[X]:(old(X)))=>(?[X]:((curious(X)<~>~patient(X)))))&
(![X]:((~calm(X)|generous(X))<=>(~humble(X)|~wise(X))))&
(![X]:((rich(X)&~curious(X))<=>(old(X)|creative(X))))&
((?[X]:(~old(X)))=>((old(fred)&patient(fred))))&
(![X]:((~tall(X)&~happy(X))=>(~tall(X)|strong(X))))&
(((wise(fred)<~>generous(fred)))<=>(?[X]:((old(X)<... | ~curious(fred) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 699049799678436495761474
% SZS output start Proof for 699049799678436495761474
3. ! [X0] : ((~curious(X0) & rich(X0)) <=> (creative(X0) | old(X0))) [input p2]
4. ? [X0] : ~old(X0) => (patient(fred) & old(fred)) [input p3]
25. curious(fred) [input hypothesis]
34. (patient(fred) & old(fred)... | 0 |
If someone is generous then someone is either not patient or brave and vice versa.
Everyone who is either not kind or not quiet is happy.
Everyone who is kind or not curious is tall and vice versa.
Everyone who is both not calm and patient is not tall or strong.
Everyone who is both quiet and not generous is either hap... | Mary is not patient. | neutral | ((?[X]:(generous(X)))<=>(?[X]:((~patient(X)<~>brave(X)))))&
(![X]:((~kind(X)<~>~quiet(X))=>happy(X)))&
(![X]:((kind(X)|~curious(X))<=>tall(X)))&
(![X]:((~calm(X)&patient(X))=>(~tall(X)|strong(X))))&
(![X]:((quiet(X)&~generous(X))=>(happy(X)<~>~wise(X))))&
(![X]:((generous(X)<~>old(X))<=>(old(X)&~rich(X))))&
(![X]:((~ge... | ~patient(mary) | [] | null | 0 |
Everyone who is both old and not quiet is either not kind or not curious and vice versa.
Everyone who is both curious and not curious is either generous or quiet and vice versa.
Everyone who is not happy is both not calm and not tall.
If john is either not wise or not humble then someone is strong or not calm.
If alice... | Mary is not humble. | neutral | (![X]:((old(X)&~quiet(X))<=>(~kind(X)<~>~curious(X))))&
(![X]:((curious(X)&~curious(X))<=>(generous(X)<~>quiet(X))))&
(![X]:(~happy(X)=>(~calm(X)&~tall(X))))&
(((~wise(john)<~>~humble(john)))=>(?[X]:((strong(X)|~calm(X)))))&
(((~funny(alice)&humble(alice)))<=>((old(lucy)&~tall(lucy))))&
(![X]:((~patient(X)<~>brave(X))<... | ~humble(mary) | [] | null | 0 |
If someone is not happy or not wise then alice is not quiet or not brave and vice versa. Everyone who is curious or strong is either not generous or old and vice versa. Everyone who is both funny and not happy is not humble or not curious and vice versa. Everyone who is both not brave and calm is not tall or curious. I... | Paul is humble. | entailment | ((?[X]:((~happy(X)|~wise(X))))<=>((~quiet(alice)|~brave(alice))))&
(![X]:((curious(X)|strong(X))<=>(~generous(X)<~>old(X))))&
(![X]:((funny(X)&~happy(X))<=>(~humble(X)|~curious(X))))&
(![X]:((~brave(X)&calm(X))=>(~tall(X)|curious(X))))&
(((old(alice)&~humble(alice)))=>((rich(mary)<~>~tall(mary))))&
((?[X]:((wise(X)|qui... | humble(paul) | [
"p1",
"p2",
"p6",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3445689616350349337423661
% SZS output start Proof for 3445689616350349337423661
2. ! [X0] : ((strong(X0) | curious(X0)) <=> (~generous(X0) <~> old(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & funny(X0)) <=> (~curious(X0) | ~humble(X0))) [input p2]
7. (~strong(john) <~> ~brave(john)) <=> ?... | 0 |
If someone is not curious or not quiet then fred is either not wise or strong. If lucy is rich then alice is either rich or not humble. If alice is both brave and generous then someone is not kind. If someone is both brave and calm then fred is both not strong and not creative and vice versa. Everyone who is not curiou... | Fred is creative. | neutral | ((?[X]:((~curious(X)|~quiet(X))))=>((~wise(fred)<~>strong(fred))))&
((rich(lucy))=>((rich(alice)<~>~humble(alice))))&
(((brave(alice)&generous(alice)))=>(?[X]:(~kind(X))))&
((?[X]:((brave(X)&calm(X))))<=>((~strong(fred)&~creative(fred))))&
(![X]:((~curious(X)|~creative(X))=>(old(X)<~>funny(X))))&
(![X]:(old(X)=>generou... | creative(fred) | [] | null | 0 |
If susan is calm then fred is quiet.
If susan is either patient or not humble then someone is either not brave or not tall and vice versa.
If lucy is funny or tall then someone is kind and vice versa.
If someone is calm then someone is quiet.
If mary is either not kind or not generous then someone is patient or humble ... | Alice is curious. | contradiction | ((calm(susan))=>(quiet(fred)))&
(((patient(susan)<~>~humble(susan)))<=>(?[X]:((~brave(X)<~>~tall(X)))))&
(((funny(lucy)|tall(lucy)))<=>(?[X]:(kind(X))))&
((?[X]:(calm(X)))=>(?[X]:(quiet(X))))&
(((~kind(mary)<~>~generous(mary)))<=>(?[X]:((patient(X)|humble(X)))))&
((?[X]:((~rich(X)&generous(X))))<=>(~rich(fred)))&
(![X]... | curious(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6313761590892809960304183
% SZS output start Proof for 6313761590892809960304183
7. ! [X0] : ((~humble(X0) | curious(X0)) <=> (~curious(X0) & ~calm(X0))) [input p6]
25. curious(alice) [input hypothesis]
54. ! [X0] : (((~humble(X0) | curious(X0)) | (curious(X0) | calm(X0))) & ((~curious(X0... | 0 |
Everyone who is either wise or generous is quiet or strong and vice versa.
Everyone who is either not patient or old is both not kind and not old and vice versa.
If someone is both not humble and not tall then alice is kind.
Everyone who is both not rich and humble is not old.
Everyone who is not curious or not old is ... | John is not strong. | neutral | (![X]:((wise(X)<~>generous(X))<=>(quiet(X)|strong(X))))&
(![X]:((~patient(X)<~>old(X))<=>(~kind(X)&~old(X))))&
((?[X]:((~humble(X)&~tall(X))))=>(kind(alice)))&
(![X]:((~rich(X)&humble(X))=>~old(X)))&
(![X]:((~curious(X)|~old(X))=>funny(X)))&
(![X]:((~happy(X)|~tall(X))<=>(~happy(X)|patient(X))))&
(![X]:((~kind(X)|~curi... | ~strong(john) | [] | null | 0 |
Everyone who is brave is not funny or not kind and vice versa.
If someone is not patient or happy then someone is both tall and not calm.
If someone is not kind or not generous then someone is not rich and vice versa.
If someone is brave or curious then someone is humble or not humble.
Everyone who is brave is either s... | Mary is not brave. | entailment | (![X]:(brave(X)<=>(~funny(X)|~kind(X))))&
((?[X]:((~patient(X)|happy(X))))=>(?[X]:((tall(X)&~calm(X)))))&
((?[X]:((~kind(X)|~generous(X))))<=>(?[X]:(~rich(X))))&
((?[X]:((brave(X)|curious(X))))=>(?[X]:((humble(X)|~humble(X)))))&
(![X]:(brave(X)<=>(strong(X)<~>old(X))))&
(![X]:((brave(X)&~patient(X))=>tall(X)))&
(![X]:(... | ~brave(mary) | [
"p0",
"p18",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1132900021959481014522938
% SZS output start Proof for 1132900021959481014522938
1. ! [X0] : (brave(X0) <=> (~kind(X0) | ~funny(X0))) [input p0]
19. ~generous(mary) & funny(mary) [input p18]
21. generous(mary) <~> kind(mary) [input p20]
25. brave(mary) [input hypothesis]
37. ! [X0] : ((br... | 0 |
Everyone who is both not old and patient is either humble or not happy.
Everyone who is not quiet is both kind and not calm.
If someone is funny then someone is not curious.
Everyone who is both creative and tall is happy or not tall and vice versa.
Everyone who is creative is generous and vice versa.
Everyone who is n... | Lucy is not patient. | neutral | (![X]:((~old(X)&patient(X))=>(humble(X)<~>~happy(X))))&
(![X]:(~quiet(X)=>(kind(X)&~calm(X))))&
((?[X]:(funny(X)))=>(?[X]:(~curious(X))))&
(![X]:((creative(X)&tall(X))<=>(happy(X)|~tall(X))))&
(![X]:(creative(X)<=>generous(X)))&
(![X]:((~patient(X)|~creative(X))=>~quiet(X)))&
((?[X]:((~generous(X)&~quiet(X))))<=>(?[X]:... | ~patient(lucy) | [] | null | 0 |
If mary is tall or patient then someone is either not strong or not generous and vice versa. Everyone who is either strong or not tall is rich or brave and vice versa. Everyone who is either tall or not humble is not patient. Everyone who is not patient is curious or not strong. Everyone who is tall or not creative is ... | Fred is not quiet. | neutral | (((tall(mary)|patient(mary)))<=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((strong(X)<~>~tall(X))<=>(rich(X)|brave(X))))&
(![X]:((tall(X)<~>~humble(X))=>~patient(X)))&
(![X]:(~patient(X)=>(curious(X)|~strong(X))))&
(![X]:((tall(X)|~creative(X))<=>(~brave(X)&strong(X))))&
((?[X]:((~rich(X)<~>old(X))))<=>(?[X]:((humbl... | ~quiet(fred) | [] | null | 0 |
Everyone who is not tall or not happy is either tall or creative and vice versa.
If lucy is not tall or not wise then someone is both quiet and brave.
Everyone who is both brave and tall is generous or funny and vice versa.
Everyone who is not wise or creative is both quiet and not old and vice versa.
If someone is not... | Paul is kind. | neutral | (![X]:((~tall(X)|~happy(X))<=>(tall(X)<~>creative(X))))&
(((~tall(lucy)|~wise(lucy)))=>(?[X]:((quiet(X)&brave(X)))))&
(![X]:((brave(X)&tall(X))<=>(generous(X)|funny(X))))&
(![X]:((~wise(X)|creative(X))<=>(quiet(X)&~old(X))))&
((?[X]:((~old(X)|~rich(X))))=>((~creative(john)<~>~curious(john))))&
(![X]:((tall(X)<~>~kind(X... | kind(paul) | [] | null | 0 |
Everyone who is patient or old is both not quiet and not kind. Everyone who is creative is rich and vice versa. Everyone who is not old is not kind and vice versa. Everyone who is not funny is kind and vice versa. If someone is wise or not generous then john is both kind and not brave and vice versa. If someone is both... | Alice is not funny. | contradiction | (![X]:((patient(X)|old(X))=>(~quiet(X)&~kind(X))))&
(![X]:(creative(X)<=>rich(X)))&
(![X]:(~old(X)<=>~kind(X)))&
(![X]:(~funny(X)<=>kind(X)))&
((?[X]:((wise(X)|~generous(X))))<=>((kind(john)&~brave(john))))&
((?[X]:((funny(X)&~quiet(X))))<=>((~curious(alice)|~patient(alice))))&
((wise(fred))=>(~happy(lucy)))&
(((~humbl... | ~funny(alice) | [
"p0",
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7485062649146379123250768
% SZS output start Proof for 7485062649146379123250768
1. ! [X0] : ((old(X0) | patient(X0)) => (~kind(X0) & ~quiet(X0))) [input p0]
3. ! [X0] : (~old(X0) <=> ~kind(X0)) [input p2]
4. ! [X0] : (~funny(X0) <=> kind(X0)) [input p3]
22. ~funny(alice) [input hypothesi... | 0 |
Everyone who is both brave and not patient is patient or not creative and vice versa. If lucy is not calm or happy then someone is both not wise and not generous and vice versa. Everyone who is humble or not generous is both not calm and not rich and vice versa. Everyone who is both generous and not quiet is both old a... | Fred is not patient. | entailment | (![X]:((brave(X)&~patient(X))<=>(patient(X)|~creative(X))))&
(((~calm(lucy)|happy(lucy)))<=>(?[X]:((~wise(X)&~generous(X)))))&
(![X]:((humble(X)|~generous(X))<=>(~calm(X)&~rich(X))))&
(![X]:((generous(X)&~quiet(X))<=>(old(X)&creative(X))))&
((curious(fred))=>(?[X]:(~brave(X))))&
((?[X]:((~creative(X)&rich(X))))<=>(?[X]... | ~patient(fred) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 4753824948844776224139701
% SZS output start Proof for 4753824948844776224139701
1. ! [X0] : ((~patient(X0) & brave(X0)) <=> (~creative(X0) | patient(X0))) [input p0]
23. patient(fred) [input hypothesis]
33. ! [X0] : (((~patient(X0) & brave(X0)) | (creative(X0) & ~patient(X0))) & ((~creat... | 0 |
Everyone who is not kind is happy or not rich.
If someone is tall or not creative then paul is not tall or brave and vice versa.
If alice is either not patient or curious then someone is either calm or rich and vice versa.
Everyone who is either not patient or creative is either not old or wise.
Everyone who is either ... | Lucy is brave. | entailment | (![X]:(~kind(X)=>(happy(X)|~rich(X))))&
((?[X]:((tall(X)|~creative(X))))<=>((~tall(paul)|brave(paul))))&
(((~patient(alice)<~>curious(alice)))<=>(?[X]:((calm(X)<~>rich(X)))))&
(![X]:((~patient(X)<~>creative(X))=>(~old(X)<~>wise(X))))&
(![X]:((~kind(X)<~>brave(X))<=>brave(X)))&
(![X]:((calm(X)<~>~old(X))=>~funny(X)))&
(... | brave(lucy) | [
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 603430983076204791958906
% SZS output start Proof for 603430983076204791958906
9. ! [X0] : ((~generous(X0) & humble(X0)) <=> ~patient(X0)) [input p8]
11. ! [X0] : ((~brave(X0) | ~humble(X0)) <=> (generous(X0) & ~patient(X0))) [input p10]
25. ~brave(lucy) [input hypothesis]
51. ! [X0] : ((... | 0 |
Everyone who is not kind is rich or not calm and vice versa.
Everyone who is both curious and quiet is not tall and vice versa.
Everyone who is either happy or old is happy or quiet and vice versa.
Everyone who is either wise or creative is both not patient and not happy.
Everyone who is both not curious and not strong... | John is wise. | entailment | (![X]:(~kind(X)<=>(rich(X)|~calm(X))))&
(![X]:((curious(X)&quiet(X))<=>~tall(X)))&
(![X]:((happy(X)<~>old(X))<=>(happy(X)|quiet(X))))&
(![X]:((wise(X)<~>creative(X))=>(~patient(X)&~happy(X))))&
(![X]:((~curious(X)&~strong(X))<=>~old(X)))&
((?[X]:(patient(X)))<=>(?[X]:((funny(X)<~>~brave(X)))))&
(![X]:((~patient(X)|rich... | wise(john) | [
"p1",
"p3",
"p6",
"p7",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7485005117777665184921955
% SZS output start Proof for 7485005117777665184921955
2. ! [X0] : ((quiet(X0) & curious(X0)) <=> ~tall(X0)) [input p1]
4. ! [X0] : ((wise(X0) <~> creative(X0)) => (~happy(X0) & ~patient(X0))) [input p3]
7. ! [X0] : ((rich(X0) | ~patient(X0)) => (calm(X0) <~> old... | 0 |
Everyone who is not quiet or calm is rich or not calm.
Everyone who is not calm or generous is either not happy or kind and vice versa.
If someone is humble then paul is either not wise or calm.
Everyone who is not brave or happy is not happy and vice versa.
If someone is both not strong and not brave then susan is not... | Susan is not funny. | neutral | (![X]:((~quiet(X)|calm(X))=>(rich(X)|~calm(X))))&
(![X]:((~calm(X)|generous(X))<=>(~happy(X)<~>kind(X))))&
((?[X]:(humble(X)))=>((~wise(paul)<~>calm(paul))))&
(![X]:((~brave(X)|happy(X))<=>~happy(X)))&
((?[X]:((~strong(X)&~brave(X))))<=>(~patient(susan)))&
((?[X]:((~strong(X)|calm(X))))<=>(?[X]:(~kind(X))))&
(![X]:((~h... | ~funny(susan) | [] | null | 0 |
If someone is not strong then someone is both happy and creative.
If mary is not humble or funny then john is curious and vice versa.
If paul is strong or not funny then someone is either funny or creative and vice versa.
Everyone who is either not funny or not generous is kind or not funny and vice versa.
If susan is ... | Mary is not humble. | neutral | ((?[X]:(~strong(X)))=>(?[X]:((happy(X)&creative(X)))))&
(((~humble(mary)|funny(mary)))<=>(curious(john)))&
(((strong(paul)|~funny(paul)))<=>(?[X]:((funny(X)<~>creative(X)))))&
(![X]:((~funny(X)<~>~generous(X))<=>(kind(X)|~funny(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((old(X)&generous(X)))))&
((?[X]:((quiet(X)... | ~humble(mary) | [] | null | 0 |
If someone is either humble or not tall then fred is either not creative or wise. Everyone who is not generous or not quiet is not generous. If susan is either not happy or calm then lucy is not tall or kind. If someone is either not rich or calm then susan is not kind. Everyone who is humble or not patient is happy or... | Alice is not happy. | entailment | ((?[X]:((humble(X)<~>~tall(X))))=>((~creative(fred)<~>wise(fred))))&
(![X]:((~generous(X)|~quiet(X))=>~generous(X)))&
(((~happy(susan)<~>calm(susan)))=>((~tall(lucy)|kind(lucy))))&
((?[X]:((~rich(X)<~>calm(X))))=>(~kind(susan)))&
(![X]:((humble(X)|~patient(X))=>(happy(X)|curious(X))))&
(![X]:((~kind(X)|curious(X))=>hum... | ~happy(alice) | [
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2189520340429199186911641
% SZS output start Proof for 2189520340429199186911641
14. ! [X0] : (curious(X0) => ~curious(X0)) [input p13]
22. curious(alice) | ~happy(alice) [input p21]
24. happy(alice) [input hypothesis]
37. ! [X0] : (~curious(X0) | ~curious(X0)) [ennf transformation 14]
10... | 0 |
If someone is both wise and happy then someone is brave or not strong and vice versa.
If someone is not old then lucy is either quiet or not generous.
Everyone who is both tall and not funny is either rich or not creative and vice versa.
If someone is both not generous and not funny then someone is both not patient and... | Fred is happy. | contradiction | ((?[X]:((wise(X)&happy(X))))<=>(?[X]:((brave(X)|~strong(X)))))&
((?[X]:(~old(X)))=>((quiet(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)&~funny(X))<=>(rich(X)<~>~creative(X))))&
((?[X]:((~generous(X)&~funny(X))))=>(?[X]:((~patient(X)&~quiet(X)))))&
((?[X]:(~calm(X)))=>(?[X]:(tall(X))))&
(![X]:((wise(X)<~>calm(X))<=>(~cal... | happy(fred) | [
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6644265671402454707501751
% SZS output start Proof for 6644265671402454707501751
7. ! [X0] : ((happy(X0) | ~kind(X0)) => (happy(X0) & ~humble(X0))) [input p6]
11. (curious(fred) & ~strong(fred)) <=> ? [X0] : (kind(X0) | ~humble(X0)) [input p10]
13. ! [X0] : (~happy(X0) <=> (~wise(X0) | cu... | 0 |
Everyone who is not kind or kind is both not rich and curious and vice versa. If alice is generous then fred is both not generous and not wise. Everyone who is either creative or brave is rich or not rich and vice versa. Everyone who is both not tall and wise is quiet and vice versa. If someone is either rich or humble... | Susan is brave. | contradiction | (![X]:((~kind(X)|kind(X))<=>(~rich(X)&curious(X))))&
((generous(alice))=>((~generous(fred)&~wise(fred))))&
(![X]:((creative(X)<~>brave(X))<=>(rich(X)|~rich(X))))&
(![X]:((~tall(X)&wise(X))<=>quiet(X)))&
((?[X]:((rich(X)<~>humble(X))))=>(?[X]:((~tall(X)&calm(X)))))&
(![X]:(calm(X)=>~brave(X)))&
(((old(susan)&patient(sus... | brave(susan) | [
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3655742273375887939496541
% SZS output start Proof for 3655742273375887939496541
23. ~brave(susan) & ~old(susan) [input p22]
25. brave(susan) [input hypothesis]
30. ~brave(susan) [pure predicate removal 23]
123. ~brave(susan) [cnf transformation 30]
126. brave(susan) [cnf transformation 2... | 0 |
If someone is creative or not tall then someone is both rich and not old and vice versa. If someone is funny then someone is both not curious and not patient and vice versa. If someone is either strong or kind then susan is not calm and vice versa. If john is creative then paul is both brave and curious and vice versa.... | Susan is curious. | contradiction | ((?[X]:((creative(X)|~tall(X))))<=>(?[X]:((rich(X)&~old(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((~curious(X)&~patient(X)))))&
((?[X]:((strong(X)<~>kind(X))))<=>(~calm(susan)))&
((creative(john))<=>((brave(paul)&curious(paul))))&
((?[X]:((creative(X)<~>humble(X))))<=>((creative(lucy)<~>calm(lucy))))&
((kind(susan))<=>(?[X]:... | curious(susan) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7677432599324161626555893
% SZS output start Proof for 7677432599324161626555893
13. ! [X0] : ((brave(X0) & ~brave(X0)) <=> (curious(X0) | ~tall(X0))) [input p12]
25. curious(susan) [input hypothesis]
66. ! [X0] : (((brave(X0) & ~brave(X0)) | (~curious(X0) & tall(X0))) & ((curious(X0) | ~... | 0 |
If someone is not wise or tall then susan is generous or not quiet.
Everyone who is not wise is not patient or tall.
Everyone who is not quiet or humble is either generous or not quiet and vice versa.
If someone is both not old and not creative then someone is both not happy and brave and vice versa.
Everyone who is ta... | Susan is not patient. | entailment | ((?[X]:((~wise(X)|tall(X))))=>((generous(susan)|~quiet(susan))))&
(![X]:(~wise(X)=>(~patient(X)|tall(X))))&
(![X]:((~quiet(X)|humble(X))<=>(generous(X)<~>~quiet(X))))&
((?[X]:((~old(X)&~creative(X))))<=>(?[X]:((~happy(X)&brave(X)))))&
(![X]:((tall(X)|happy(X))=>~kind(X)))&
(![X]:((~old(X)|curious(X))=>(funny(X)<~>gener... | ~patient(susan) | [
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7592729315997760123843453
% SZS output start Proof for 7592729315997760123843453
13. ! [X0] : ((~happy(X0) <~> patient(X0)) <=> (~happy(X0) | generous(X0))) [input p12]
19. ~happy(susan) & ~humble(susan) [input p18]
24. patient(susan) [input hypothesis]
61. ! [X0] : ((((~patient(X0) | hap... | 0 |
Everyone who is not kind or funny is not wise and vice versa.
Everyone who is not old or curious is either strong or not happy and vice versa.
Everyone who is either not calm or not patient is creative or wise and vice versa.
Everyone who is not calm is both not old and generous.
Everyone who is not old is both kind an... | John is calm. | entailment | (![X]:((~kind(X)|funny(X))<=>~wise(X)))&
(![X]:((~old(X)|curious(X))<=>(strong(X)<~>~happy(X))))&
(![X]:((~calm(X)<~>~patient(X))<=>(creative(X)|wise(X))))&
(![X]:(~calm(X)=>(~old(X)&generous(X))))&
(![X]:(~old(X)=>(kind(X)&old(X))))&
(![X]:((~strong(X)&~kind(X))=>~brave(X)))&
((?[X]:((brave(X)&calm(X))))<=>(?[X]:(curi... | calm(john) | [
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 911707724735513563445629
% SZS output start Proof for 911707724735513563445629
4. ! [X0] : (~calm(X0) => (generous(X0) & ~old(X0))) [input p3]
5. ! [X0] : (~old(X0) => (old(X0) & kind(X0))) [input p4]
23. ~calm(john) [input hypothesis]
29. ! [X0] : ((generous(X0) & ~old(X0)) | calm(X0)) [... | 0 |
Everyone who is old or curious is funny.
If john is both strong and not quiet then mary is not humble.
If paul is both not old and old then someone is kind or not brave and vice versa.
If lucy is happy or generous then someone is not creative or not generous.
If someone is not quiet then john is both not funny and not ... | John is not funny. | entailment | (![X]:((old(X)|curious(X))=>funny(X)))&
(((strong(john)&~quiet(john)))=>(~humble(mary)))&
(((~old(paul)&old(paul)))<=>(?[X]:((kind(X)|~brave(X)))))&
(((happy(lucy)|generous(lucy)))=>(?[X]:((~creative(X)|~generous(X)))))&
((?[X]:(~quiet(X)))<=>((~funny(john)&~wise(john))))&
((~happy(paul))=>(calm(mary)))&
(((~calm(fred)... | ~funny(john) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 6995530208594998173367700
% SZS output start Proof for 6995530208594998173367700
5. ? [X0] : ~quiet(X0) <=> (~wise(john) & ~funny(john)) [input p4]
7. (quiet(fred) | ~calm(fred)) => ~quiet(john) [input p6]
25. funny(john) [input hypothesis]
34. ~quiet(john) | (~quiet(fred) & calm(fred)) [... | 0 |
If john is both humble and not creative then paul is either not rich or happy and vice versa. If someone is kind then john is not strong or not quiet. Everyone who is quiet is either old or not funny. If someone is both quiet and not kind then paul is either not wise or patient and vice versa. Everyone who is either ge... | Paul is brave. | neutral | (((humble(john)&~creative(john)))<=>((~rich(paul)<~>happy(paul))))&
((?[X]:(kind(X)))=>((~strong(john)|~quiet(john))))&
(![X]:(quiet(X)=>(old(X)<~>~funny(X))))&
((?[X]:((quiet(X)&~kind(X))))<=>((~wise(paul)<~>patient(paul))))&
(![X]:((generous(X)<~>patient(X))=>(strong(X)|old(X))))&
(((quiet(mary)<~>funny(mary)))<=>(?[... | brave(paul) | [] | null | 0 |
Everyone who is not humble is either humble or not funny.
Everyone who is curious or not curious is not wise.
Everyone who is generous or funny is not strong.
If fred is both not creative and not generous then someone is both not strong and not humble and vice versa.
Everyone who is not wise is tall or not creative and... | Fred is kind. | neutral | (![X]:(~humble(X)=>(humble(X)<~>~funny(X))))&
(![X]:((curious(X)|~curious(X))=>~wise(X)))&
(![X]:((generous(X)|funny(X))=>~strong(X)))&
(((~creative(fred)&~generous(fred)))<=>(?[X]:((~strong(X)&~humble(X)))))&
(![X]:(~wise(X)<=>(tall(X)|~creative(X))))&
((?[X]:((~old(X)<~>quiet(X))))=>(?[X]:((~kind(X)<~>wise(X)))))&
(!... | kind(fred) | [] | null | 0 |
If susan is both not patient and curious then alice is curious.
If fred is either not generous or not patient then susan is old or not rich and vice versa.
Everyone who is both strong and quiet is not tall and vice versa.
If mary is humble then someone is either not strong or not quiet.
Everyone who is not strong or no... | Alice is happy. | neutral | (((~patient(susan)&curious(susan)))=>(curious(alice)))&
(((~generous(fred)<~>~patient(fred)))<=>((old(susan)|~rich(susan))))&
(![X]:((strong(X)&quiet(X))<=>~tall(X)))&
((humble(mary))=>(?[X]:((~strong(X)<~>~quiet(X)))))&
(![X]:((~strong(X)|~generous(X))<=>(~old(X)|wise(X))))&
(![X]:(~brave(X)<=>(~tall(X)<~>~creative(X)... | happy(alice) | [] | null | 0 |
If fred is both kind and not calm then paul is both funny and strong.
Everyone who is both not happy and not curious is both rich and not patient.
Everyone who is humble or not tall is brave or not patient and vice versa.
Everyone who is old or not old is either strong or not humble and vice versa.
If someone is both c... | Fred is creative. | contradiction | (((kind(fred)&~calm(fred)))=>((funny(paul)&strong(paul))))&
(![X]:((~happy(X)&~curious(X))=>(rich(X)&~patient(X))))&
(![X]:((humble(X)|~tall(X))<=>(brave(X)|~patient(X))))&
(![X]:((old(X)|~old(X))<=>(strong(X)<~>~humble(X))))&
((?[X]:((calm(X)&generous(X))))<=>((~wise(john)<~>generous(john))))&
((?[X]:((~kind(X)|kind(X... | creative(fred) | [
"p3",
"p6",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 468958449610270674726414
% SZS output start Proof for 468958449610270674726414
4. ! [X0] : ((~old(X0) | old(X0)) <=> (strong(X0) <~> ~humble(X0))) [input p3]
7. ! [X0] : ((~old(X0) | ~brave(X0)) => (humble(X0) & ~generous(X0))) [input p6]
9. ! [X0] : ((~creative(X0) | old(X0)) <=> generou... | 0 |
Everyone who is either not quiet or strong is both funny and not quiet.
Everyone who is both curious and brave is both old and wise.
If alice is not humble then someone is not tall and vice versa.
Everyone who is not humble is either strong or quiet and vice versa.
If someone is both creative and generous then someone ... | Lucy is wise. | entailment | (![X]:((~quiet(X)<~>strong(X))=>(funny(X)&~quiet(X))))&
(![X]:((curious(X)&brave(X))=>(old(X)&wise(X))))&
((~humble(alice))<=>(?[X]:(~tall(X))))&
(![X]:(~humble(X)<=>(strong(X)<~>quiet(X))))&
((?[X]:((creative(X)&generous(X))))<=>(?[X]:((old(X)&quiet(X)))))&
(![X]:(generous(X)<=>(~patient(X)|quiet(X))))&
((?[X]:((~calm... | wise(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 399964938386055304543721
% SZS output start Proof for 399964938386055304543721
17. wise(lucy) & ~strong(lucy) [input p16]
25. ~wise(lucy) [input hypothesis]
142. wise(lucy) [cnf transformation 17]
152. ~wise(lucy) [cnf transformation 25]
355. $false [subsumption resolution 152,142]
% SZS ... | 0 |
If someone is creative then mary is patient.
Everyone who is both not quiet and not wise is both rich and not old.
If someone is both not brave and funny then someone is not strong.
Everyone who is either not funny or not generous is wise and vice versa.
Everyone who is both calm and not wise is both not quiet and rich... | Mary is not wise. | contradiction | ((?[X]:(creative(X)))=>(patient(mary)))&
(![X]:((~quiet(X)&~wise(X))=>(rich(X)&~old(X))))&
((?[X]:((~brave(X)&funny(X))))=>(?[X]:(~strong(X))))&
(![X]:((~funny(X)<~>~generous(X))<=>wise(X)))&
(![X]:((calm(X)&~wise(X))<=>(~quiet(X)&rich(X))))&
((?[X]:((~kind(X)|kind(X))))<=>(?[X]:((~kind(X)|quiet(X)))))&
(![X]:((~old(X)... | ~wise(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3275478911998899625465342
% SZS output start Proof for 3275478911998899625465342
9. ! [X0] : ((curious(X0) <~> ~curious(X0)) <=> (wise(X0) & kind(X0))) [input p8]
25. ~wise(mary) [input hypothesis]
57. ! [X0] : ((((curious(X0) | ~curious(X0)) & (~curious(X0) | curious(X0))) | (~wise(X0) |... | 0 |
Everyone who is both not wise and not calm is not kind or not old. Everyone who is not curious is old and vice versa. If someone is not patient or rich then someone is both curious and brave. If john is either not old or not quiet then mary is both not old and not creative and vice versa. If alice is not wise or not ki... | John is happy. | contradiction | (![X]:((~wise(X)&~calm(X))=>(~kind(X)|~old(X))))&
(![X]:(~curious(X)<=>old(X)))&
((?[X]:((~patient(X)|rich(X))))=>(?[X]:((curious(X)&brave(X)))))&
(((~old(john)<~>~quiet(john)))<=>((~old(mary)&~creative(mary))))&
(((~wise(alice)|~kind(alice)))<=>(?[X]:(~creative(X))))&
(![X]:((tall(X)&generous(X))=>(~kind(X)&~generous(... | happy(john) | [
"p5",
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 569487647662912642272734
% SZS output start Proof for 569487647662912642272734
6. ! [X0] : ((generous(X0) & tall(X0)) => (~generous(X0) & ~kind(X0))) [input p5]
7. ! [X0] : ((happy(X0) | tall(X0)) <=> (patient(X0) <~> tall(X0))) [input p6]
14. ! [X0] : (~tall(X0) => (~patient(X0) & ~rich(... | 0 |
If someone is either funny or not kind then alice is strong and vice versa.
If someone is both not old and brave then someone is not happy.
If john is either generous or happy then fred is tall and vice versa.
If someone is creative then mary is strong and vice versa.
If alice is either happy or not rich then mary is e... | Lucy is not tall. | neutral | ((?[X]:((funny(X)<~>~kind(X))))<=>(strong(alice)))&
((?[X]:((~old(X)&brave(X))))=>(?[X]:(~happy(X))))&
(((generous(john)<~>happy(john)))<=>(tall(fred)))&
((?[X]:(creative(X)))<=>(strong(mary)))&
(((happy(alice)<~>~rich(alice)))=>((~generous(mary)<~>~funny(mary))))&
(![X]:(~creative(X)<=>(~funny(X)|tall(X))))&
((?[X]:((... | ~tall(lucy) | [] | null | 0 |
Everyone who is either not patient or not quiet is both not patient and kind.
Everyone who is not wise or not calm is either calm or humble and vice versa.
Everyone who is not tall or not calm is either quiet or not creative.
Everyone who is not calm or calm is not creative or curious.
Everyone who is not quiet or rich... | Susan is brave. | contradiction | (![X]:((~patient(X)<~>~quiet(X))=>(~patient(X)&kind(X))))&
(![X]:((~wise(X)|~calm(X))<=>(calm(X)<~>humble(X))))&
(![X]:((~tall(X)|~calm(X))=>(quiet(X)<~>~creative(X))))&
(![X]:((~calm(X)|calm(X))=>(~creative(X)|curious(X))))&
(![X]:((~quiet(X)|rich(X))=>(patient(X)&kind(X))))&
(![X]:((strong(X)|funny(X))<=>generous(X))... | brave(susan) | [
"p0",
"p2",
"p4",
"p5",
"p8",
"p14",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4844378739886973780703311
% SZS output start Proof for 4844378739886973780703311
1. ! [X0] : ((~patient(X0) <~> ~quiet(X0)) => (kind(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((~calm(X0) | ~tall(X0)) => (quiet(X0) <~> ~creative(X0))) [input p2]
5. ! [X0] : ((rich(X0) | ~quiet(X0)) => (k... | 0 |
Everyone who is both not curious and rich is either strong or not generous and vice versa. If someone is both rich and not calm then lucy is either strong or curious. If mary is not wise then someone is not tall or kind. Everyone who is not humble is tall or not happy. If someone is both strong and quiet then susan is ... | Paul is happy. | contradiction | (![X]:((~curious(X)&rich(X))<=>(strong(X)<~>~generous(X))))&
((?[X]:((rich(X)&~calm(X))))=>((strong(lucy)<~>curious(lucy))))&
((~wise(mary))=>(?[X]:((~tall(X)|kind(X)))))&
(![X]:(~humble(X)=>(tall(X)|~happy(X))))&
((?[X]:((strong(X)&quiet(X))))<=>(happy(susan)))&
(![X]:(quiet(X)=>(~wise(X)|~rich(X))))&
(![X]:((~rich(X)... | happy(paul) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1344220764610962091970668
% SZS output start Proof for 1344220764610962091970668
2. ? [X0] : (~calm(X0) & rich(X0)) => (strong(lucy) <~> curious(lucy)) [input p1]
6. ! [X0] : (quiet(X0) => (~rich(X0) | ~wise(X0))) [input p5]
8. ! [X0] : (brave(X0) <=> patient(X0)) [input p7]
9. ! [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 8945793731668323663488826
% SZS output start Proof for 8945793731668323663488826
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 quiet or calm is both not patient and old. Everyone who is either kind or not tall is both calm and not creative and vice versa. Everyone who is either not wise or curious is both quiet and humble and vice versa. If someone is both not brave and not wise then susan is both not happy and not patie... | Susan is humble. | contradiction | (![X]:((quiet(X)<~>calm(X))=>(~patient(X)&old(X))))&
(![X]:((kind(X)<~>~tall(X))<=>(calm(X)&~creative(X))))&
(![X]:((~wise(X)<~>curious(X))<=>(quiet(X)&humble(X))))&
((?[X]:((~brave(X)&~wise(X))))<=>((~happy(susan)&~patient(susan))))&
(![X]:((~creative(X)|creative(X))<=>(quiet(X)|wise(X))))&
(((funny(paul)&tall(paul)))... | humble(susan) | [
"p0",
"p2",
"p3",
"p4",
"p6",
"p10",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6207617928529430407167372
% SZS output start Proof for 6207617928529430407167372
1. ! [X0] : ((quiet(X0) <~> calm(X0)) => (old(X0) & ~patient(X0))) [input p0]
3. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (humble(X0) & quiet(X0))) [input p2]
4. ? [X0] : (~wise(X0) & ~brave(X0)) <=> (~patie... | 0 |
If someone is not calm or tall then someone is both not curious and old and vice versa. Everyone who is either tall or brave is both not creative and not curious and vice versa. Everyone who is both not curious and patient is patient or not humble. Everyone who is both not generous and old is generous or brave and vice... | Alice is not curious. | neutral | ((?[X]:((~calm(X)|tall(X))))<=>(?[X]:((~curious(X)&old(X)))))&
(![X]:((tall(X)<~>brave(X))<=>(~creative(X)&~curious(X))))&
(![X]:((~curious(X)&patient(X))=>(patient(X)|~humble(X))))&
(![X]:((~generous(X)&old(X))<=>(generous(X)|brave(X))))&
(![X]:(~tall(X)<=>funny(X)))&
(![X]:((~patient(X)&tall(X))<=>~creative(X)))&
(((... | ~curious(alice) | [] | null | 0 |
Everyone who is either not rich or not curious is either not funny or wise. If susan is either strong or not wise then someone is either happy or not quiet and vice versa. If mary is not brave then someone is both strong and humble. Everyone who is not tall is both tall and not rich and vice versa. If mary is brave or ... | John is not patient. | entailment | (![X]:((~rich(X)<~>~curious(X))=>(~funny(X)<~>wise(X))))&
(((strong(susan)<~>~wise(susan)))<=>(?[X]:((happy(X)<~>~quiet(X)))))&
((~brave(mary))=>(?[X]:((strong(X)&humble(X)))))&
(![X]:(~tall(X)<=>(tall(X)&~rich(X))))&
(((brave(mary)|kind(mary)))<=>((~rich(fred)|generous(fred))))&
(![X]:((~tall(X)|wise(X))<=>~patient(X)... | ~patient(john) | [
"p0",
"p3",
"p5",
"p6",
"p9",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5495644703504969172436673
% SZS output start Proof for 5495644703504969172436673
1. ! [X0] : ((~rich(X0) <~> ~curious(X0)) => (~funny(X0) <~> wise(X0))) [input p0]
4. ! [X0] : (~tall(X0) <=> (~rich(X0) & tall(X0))) [input p3]
6. ! [X0] : ((wise(X0) | ~tall(X0)) <=> ~patient(X0)) [input p5... | 0 |
If someone is not patient then susan is both not tall and not generous. Everyone who is generous is both creative and old. If someone is either tall or not happy then someone is not strong or kind. Everyone who is not quiet or not brave is both not patient and not strong and vice versa. Everyone who is not tall or not ... | Lucy is generous. | entailment | ((?[X]:(~patient(X)))=>((~tall(susan)&~generous(susan))))&
(![X]:(generous(X)=>(creative(X)&old(X))))&
((?[X]:((tall(X)<~>~happy(X))))=>(?[X]:((~strong(X)|kind(X)))))&
(![X]:((~quiet(X)|~brave(X))<=>(~patient(X)&~strong(X))))&
(![X]:((~tall(X)|~strong(X))=>(calm(X)<~>generous(X))))&
(![X]:((~brave(X)&~funny(X))<=>happy... | generous(lucy) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 807325646192599239167907
% SZS output start Proof for 807325646192599239167907
15. ! [X0] : ((generous(X0) <~> ~curious(X0)) <=> curious(X0)) [input p14]
22. ~generous(lucy) [input hypothesis]
63. ! [X0] : ((((curious(X0) | ~generous(X0)) & (~curious(X0) | generous(X0))) | ~curious(X0)) &... | 0 |
If someone is both tall and not calm then lucy is both not patient and not wise and vice versa.
Everyone who is not calm is either not quiet or not curious and vice versa.
If paul is both strong and happy then someone is old or quiet and vice versa.
If lucy is either tall or calm then john is both not humble and funny.... | Fred is not tall. | neutral | ((?[X]:((tall(X)&~calm(X))))<=>((~patient(lucy)&~wise(lucy))))&
(![X]:(~calm(X)<=>(~quiet(X)<~>~curious(X))))&
(((strong(paul)&happy(paul)))<=>(?[X]:((old(X)|quiet(X)))))&
(((tall(lucy)<~>calm(lucy)))=>((~humble(john)&funny(john))))&
((?[X]:((tall(X)<~>funny(X))))<=>(?[X]:((generous(X)&~quiet(X)))))&
(![X]:((~patient(X... | ~tall(fred) | [] | null | 0 |
Everyone who is creative is not humble or patient and vice versa.
If someone is creative or wise then alice is both not tall and not rich.
Everyone who is either creative or not generous is either not curious or strong and vice versa.
If mary is both not curious and not strong then mary is not humble and vice versa.
If... | Alice is not creative. | contradiction | (![X]:(creative(X)<=>(~humble(X)|patient(X))))&
((?[X]:((creative(X)|wise(X))))=>((~tall(alice)&~rich(alice))))&
(![X]:((creative(X)<~>~generous(X))<=>(~curious(X)<~>strong(X))))&
(((~curious(mary)&~strong(mary)))<=>(~humble(mary)))&
(((old(lucy)&~humble(lucy)))<=>(?[X]:((patient(X)|curious(X)))))&
(((~quiet(john)&rich... | ~creative(alice) | [
"p0",
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8896710835580502577936529
% SZS output start Proof for 8896710835580502577936529
1. ! [X0] : (creative(X0) <=> (patient(X0) | ~humble(X0))) [input p0]
2. ? [X0] : (wise(X0) | creative(X0)) => (~rich(alice) & ~tall(alice)) [input p1]
14. ! [X0] : ((~rich(X0) | wise(X0)) <=> (rich(X0) | ~hu... | 0 |
Everyone who is both patient and generous is happy or not old.
Everyone who is both rich and not tall is kind.
If someone is both patient and brave then someone is both not kind and happy and vice versa.
Everyone who is not patient is not calm or not old and vice versa.
Everyone who is either not happy or funny is rich... | John is not rich. | contradiction | (![X]:((patient(X)&generous(X))=>(happy(X)|~old(X))))&
(![X]:((rich(X)&~tall(X))=>kind(X)))&
((?[X]:((patient(X)&brave(X))))<=>(?[X]:((~kind(X)&happy(X)))))&
(![X]:(~patient(X)<=>(~calm(X)|~old(X))))&
(![X]:((~happy(X)<~>funny(X))=>rich(X)))&
(![X]:((generous(X)|kind(X))<=>(~old(X)|~quiet(X))))&
(![X]:((quiet(X)|happy(... | ~rich(john) | [
"p2",
"p3",
"p6",
"p8",
"p9",
"p12",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 750275454164449853065569
% SZS output start Proof for 750275454164449853065569
3. ? [X0] : (brave(X0) & patient(X0)) <=> ? [X0] : (happy(X0) & ~kind(X0)) [input p2]
4. ! [X0] : (~patient(X0) <=> (~old(X0) | ~calm(X0))) [input p3]
7. ! [X0] : ((happy(X0) | quiet(X0)) => ~calm(X0)) [input p... | 0 |
If someone is not kind or happy then fred is either not tall or not wise and vice versa.
If someone is either strong or not creative then fred is both brave and not generous and vice versa.
If susan is not strong then susan is patient or not happy and vice versa.
If someone is either not wise or not old then john is no... | Lucy is not creative. | entailment | ((?[X]:((~kind(X)|happy(X))))<=>((~tall(fred)<~>~wise(fred))))&
((?[X]:((strong(X)<~>~creative(X))))<=>((brave(fred)&~generous(fred))))&
((~strong(susan))<=>((patient(susan)|~happy(susan))))&
((?[X]:((~wise(X)<~>~old(X))))<=>((~kind(john)|curious(john))))&
((?[X]:(~generous(X)))<=>(?[X]:(~quiet(X))))&
((~calm(susan))=>... | ~creative(lucy) | [
"p7",
"p9",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4918144667837819287916332
% SZS output start Proof for 4918144667837819287916332
8. ! [X0] : (~creative(X0) <=> (humble(X0) | ~curious(X0))) [input p7]
10. ! [X0] : (wise(X0) <=> (creative(X0) | ~generous(X0))) [input p9]
13. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (old(X0) & brave(X... | 0 |
Everyone who is not wise or brave is both not tall and not rich and vice versa.
Everyone who is either not old or not rich is calm or funny and vice versa.
Everyone who is either brave or humble is either patient or old and vice versa.
Everyone who is both creative and not tall is both not old and patient.
If someone i... | Lucy is not rich. | entailment | (![X]:((~wise(X)|brave(X))<=>(~tall(X)&~rich(X))))&
(![X]:((~old(X)<~>~rich(X))<=>(calm(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))<=>(patient(X)<~>old(X))))&
(![X]:((creative(X)&~tall(X))=>(~old(X)&patient(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((~generous(X)&~rich(X)))))&
((?[X]:(humble(X)))<=>(curious(alice)))&
((~... | ~rich(lucy) | [
"p1",
"p9",
"p12",
"p13",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1148983354455522664711202
% SZS output start Proof for 1148983354455522664711202
2. ! [X0] : ((~old(X0) <~> ~rich(X0)) <=> (funny(X0) | calm(X0))) [input p1]
10. ! [X0] : ((rich(X0) <~> old(X0)) => ~humble(X0)) [input p9]
13. ! [X0] : ((humble(X0) <~> strong(X0)) => (funny(X0) & creative(... | 0 |
Everyone who is either rich or not wise is not quiet and vice versa.
Everyone who is either not funny or not creative is rich and vice versa.
Everyone who is either generous or not tall is either tall or happy and vice versa.
If mary is not tall then alice is generous or happy and vice versa.
Everyone who is both funny... | Fred is tall. | contradiction | (![X]:((rich(X)<~>~wise(X))<=>~quiet(X)))&
(![X]:((~funny(X)<~>~creative(X))<=>rich(X)))&
(![X]:((generous(X)<~>~tall(X))<=>(tall(X)<~>happy(X))))&
((~tall(mary))<=>((generous(alice)|happy(alice))))&
(![X]:((funny(X)&wise(X))<=>(rich(X)&generous(X))))&
(![X]:((~rich(X)&brave(X))=>(~creative(X)<~>~curious(X))))&
(((~str... | tall(fred) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5408880761512724391522171
% SZS output start Proof for 5408880761512724391522171
14. ! [X0] : ((creative(X0) & ~creative(X0)) <=> ~brave(X0)) [input p13]
17. brave(fred) <~> tall(fred) [input p16]
25. tall(fred) [input hypothesis]
59. ! [X0] : (((creative(X0) & ~creative(X0)) | brave(X0))... | 0 |
Everyone who is old is either not brave or not strong and vice versa.
If someone is both not rich and generous then mary is not curious.
Everyone who is either humble or not generous is either strong or not kind and vice versa.
If someone is not patient then someone is not wise.
Everyone who is curious is both not kind... | Mary is humble. | contradiction | (![X]:(old(X)<=>(~brave(X)<~>~strong(X))))&
((?[X]:((~rich(X)&generous(X))))=>(~curious(mary)))&
(![X]:((humble(X)<~>~generous(X))<=>(strong(X)<~>~kind(X))))&
((?[X]:(~patient(X)))=>(?[X]:(~wise(X))))&
(![X]:(curious(X)=>(~kind(X)&~tall(X))))&
(![X]:((curious(X)&~quiet(X))<=>(generous(X)<~>strong(X))))&
(![X]:((~wise(X... | humble(mary) | [
"p0",
"p2",
"p3",
"p4",
"p5",
"p6",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6142465193401535454594659
% SZS output start Proof for 6142465193401535454594659
1. ! [X0] : (old(X0) <=> (~brave(X0) <~> ~strong(X0))) [input p0]
3. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> (strong(X0) <~> ~kind(X0))) [input p2]
4. ? [X0] : ~patient(X0) => ? [X0] : ~wise(X0) [input p... | 0 |
If paul is not rich then lucy is either creative or calm and vice versa. Everyone who is both not curious and not humble is not strong or not patient and vice versa. If someone is both not happy and old then john is humble or happy. If mary is kind or creative then someone is not calm or not curious. If someone is eith... | Lucy is not tall. | entailment | ((~rich(paul))<=>((creative(lucy)<~>calm(lucy))))&
(![X]:((~curious(X)&~humble(X))<=>(~strong(X)|~patient(X))))&
((?[X]:((~happy(X)&old(X))))=>((humble(john)|happy(john))))&
(((kind(mary)|creative(mary)))=>(?[X]:((~calm(X)|~curious(X)))))&
((?[X]:((~kind(X)<~>~curious(X))))<=>(?[X]:(~tall(X))))&
(![X]:(~humble(X)<=>(~q... | ~tall(lucy) | [
"p1",
"p5",
"p7",
"p8",
"p9",
"p10",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 248291617975048976232385
% SZS output start Proof for 248291617975048976232385
2. ! [X0] : ((~humble(X0) & ~curious(X0)) <=> (~patient(X0) | ~strong(X0))) [input p1]
6. ! [X0] : (~humble(X0) <=> (~kind(X0) | ~quiet(X0))) [input p5]
8. ! [X0] : ((happy(X0) <~> strong(X0)) => (~funny(X0) & ... | 0 |
If lucy is both not tall and not creative then fred is not rich or not kind and vice versa. Everyone who is patient is not funny and vice versa. If lucy is both not patient and old then fred is not brave. If someone is not kind then john is both wise and old. Everyone who is not quiet or strong is quiet or not creative... | John is happy. | contradiction | (((~tall(lucy)&~creative(lucy)))<=>((~rich(fred)|~kind(fred))))&
(![X]:(patient(X)<=>~funny(X)))&
(((~patient(lucy)&old(lucy)))=>(~brave(fred)))&
((?[X]:(~kind(X)))=>((wise(john)&old(john))))&
(![X]:((~quiet(X)|strong(X))<=>(quiet(X)|~creative(X))))&
(![X]:(~humble(X)<=>strong(X)))&
(![X]:((~strong(X)|old(X))<=>~kind(X... | happy(john) | [
"p1",
"p7",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1083778664073333402528200
% SZS output start Proof for 1083778664073333402528200
2. ! [X0] : (patient(X0) <=> ~funny(X0)) [input p1]
8. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> (funny(X0) <~> happy(X0))) [input p7]
13. ! [X0] : ((~funny(X0) | ~old(X0)) => (~quiet(X0) & ~humble(X0))) [inp... | 0 |
If mary is either generous or not brave then someone is not quiet. If alice is both wise and not quiet then someone is generous and vice versa. Everyone who is kind or quiet is both quiet and funny. Everyone who is both funny and strong is not calm and vice versa. Everyone who is both calm and not wise is both quiet an... | John is not calm. | entailment | (((generous(mary)<~>~brave(mary)))=>(?[X]:(~quiet(X))))&
(((wise(alice)&~quiet(alice)))<=>(?[X]:(generous(X))))&
(![X]:((kind(X)|quiet(X))=>(quiet(X)&funny(X))))&
(![X]:((funny(X)&strong(X))<=>~calm(X)))&
(![X]:((calm(X)&~wise(X))<=>(quiet(X)&patient(X))))&
((~curious(susan))=>(?[X]:((brave(X)&kind(X)))))&
((?[X]:((~qu... | ~calm(john) | [
"p2",
"p3",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8087033326622834125259986
% SZS output start Proof for 8087033326622834125259986
3. ! [X0] : ((quiet(X0) | kind(X0)) => (funny(X0) & quiet(X0))) [input p2]
4. ! [X0] : ((strong(X0) & funny(X0)) <=> ~calm(X0)) [input p3]
10. ! [X0] : ((~funny(X0) & ~quiet(X0)) => (kind(X0) & ~strong(X0))) ... | 0 |
Everyone who is both happy and funny is either kind or wise and vice versa.
If someone is brave then susan is tall and vice versa.
Everyone who is funny is brave.
Everyone who is either not funny or patient is both kind and not curious.
If someone is both not wise and generous then someone is not brave and vice versa.
... | Paul is generous. | neutral | (![X]:((happy(X)&funny(X))<=>(kind(X)<~>wise(X))))&
((?[X]:(brave(X)))<=>(tall(susan)))&
(![X]:(funny(X)=>brave(X)))&
(![X]:((~funny(X)<~>patient(X))=>(kind(X)&~curious(X))))&
((?[X]:((~wise(X)&generous(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~calm(X)|~wise(X))<=>(~generous(X)|~happy(X))))&
((?[X]:((humble(X)&old(X))))=>(... | generous(paul) | [] | null | 0 |
If someone is both not patient and funny then john is not kind or not curious. If someone is both quiet and old then someone is both strong and not strong. Everyone who is not kind or patient is both not quiet and creative. If john is not strong then someone is either rich or not humble and vice versa. If someone is ei... | Fred is kind. | entailment | ((?[X]:((~patient(X)&funny(X))))=>((~kind(john)|~curious(john))))&
((?[X]:((quiet(X)&old(X))))=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((~kind(X)|patient(X))=>(~quiet(X)&creative(X))))&
((~strong(john))<=>(?[X]:((rich(X)<~>~humble(X)))))&
((?[X]:((creative(X)<~>kind(X))))=>((patient(mary)&~old(mary))))&
(![X]:(wise(X)... | kind(fred) | [
"p1",
"p2",
"p4",
"p7",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3533812425810481961204592
% SZS output start Proof for 3533812425810481961204592
2. ? [X0] : (old(X0) & quiet(X0)) => ? [X0] : (~strong(X0) & strong(X0)) [input p1]
3. ! [X0] : ((patient(X0) | ~kind(X0)) => (creative(X0) & ~quiet(X0))) [input p2]
5. ? [X0] : (creative(X0) <~> kind(X0)) =>... | 0 |
If fred is either wise or creative then someone is brave. If lucy is both funny and calm then someone is both not tall and wise. Everyone who is rich or not brave is brave or not patient. If someone is not old then paul is both patient and not rich and vice versa. If fred is not old then paul is either happy or creativ... | Paul is curious. | contradiction | (((wise(fred)<~>creative(fred)))=>(?[X]:(brave(X))))&
(((funny(lucy)&calm(lucy)))=>(?[X]:((~tall(X)&wise(X)))))&
(![X]:((rich(X)|~brave(X))=>(brave(X)|~patient(X))))&
((?[X]:(~old(X)))<=>((patient(paul)&~rich(paul))))&
((~old(fred))=>((happy(paul)<~>creative(paul))))&
((happy(susan))<=>(?[X]:((~calm(X)&~generous(X)))))... | curious(paul) | [
"p2",
"p3",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2346270534941838688331891
% SZS output start Proof for 2346270534941838688331891
3. ! [X0] : ((~brave(X0) | rich(X0)) => (~patient(X0) | brave(X0))) [input p2]
4. ? [X0] : ~old(X0) <=> (~rich(paul) & patient(paul)) [input p3]
12. ! [X0] : ((brave(X0) & patient(X0)) => (~curious(X0) <~> ~p... | 0 |
If mary is either not creative or creative then someone is both not quiet and humble.
Everyone who is not quiet is calm and vice versa.
If someone is creative or not old then someone is not calm or not kind.
Everyone who is both not quiet and not kind is not wise or quiet.
If someone is not creative then someone is not... | Susan is not creative. | neutral | (((~creative(mary)<~>creative(mary)))=>(?[X]:((~quiet(X)&humble(X)))))&
(![X]:(~quiet(X)<=>calm(X)))&
((?[X]:((creative(X)|~old(X))))=>(?[X]:((~calm(X)|~kind(X)))))&
(![X]:((~quiet(X)&~kind(X))=>(~wise(X)|quiet(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~quiet(X)|~humble(X)))))&
((?[X]:((~calm(X)|~curious(X))))<=>((~happy... | ~creative(susan) | [] | null | 0 |
If fred is either not creative or not brave then someone is either not rich or not patient and vice versa. Everyone who is both not old and patient is either not happy or rich. Everyone who is either not tall or quiet is both kind and not wise and vice versa. If paul is both rich and not quiet then someone is both not ... | Paul is not brave. | entailment | (((~creative(fred)<~>~brave(fred)))<=>(?[X]:((~rich(X)<~>~patient(X)))))&
(![X]:((~old(X)&patient(X))=>(~happy(X)<~>rich(X))))&
(![X]:((~tall(X)<~>quiet(X))<=>(kind(X)&~wise(X))))&
(((rich(paul)&~quiet(paul)))<=>(?[X]:((~curious(X)&~brave(X)))))&
(![X]:((wise(X)<~>creative(X))<=>~tall(X)))&
(((~brave(mary)|happy(mary))... | ~brave(paul) | [
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7556566004839636161501690
% SZS output start Proof for 7556566004839636161501690
11. ! [X0] : ((~curious(X0) & humble(X0)) <=> ~tall(X0)) [input p10]
13. ! [X0] : ((~quiet(X0) | tall(X0)) <=> (~curious(X0) & ~creative(X0))) [input p12]
19. curious(paul) <~> ~brave(paul) [input p18]
24. br... | 0 |
Everyone who is not tall or not strong is not wise or quiet and vice versa.
If paul is both patient and not funny then susan is either not patient or not happy.
Everyone who is kind or not quiet is either calm or not kind and vice versa.
If paul is both not old and not humble then fred is rich.
Everyone who is not tall... | Lucy is not wise. | contradiction | (![X]:((~tall(X)|~strong(X))<=>(~wise(X)|quiet(X))))&
(((patient(paul)&~funny(paul)))=>((~patient(susan)<~>~happy(susan))))&
(![X]:((kind(X)|~quiet(X))<=>(calm(X)<~>~kind(X))))&
(((~old(paul)&~humble(paul)))=>(rich(fred)))&
(![X]:((~tall(X)|wise(X))=>~quiet(X)))&
(![X]:((humble(X)<~>creative(X))=>happy(X)))&
(((~funny(... | ~wise(lucy) | [
"p0",
"p5",
"p7",
"p9",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 9114024058426848447746026
% SZS output start Proof for 9114024058426848447746026
1. ! [X0] : ((~strong(X0) | ~tall(X0)) <=> (quiet(X0) | ~wise(X0))) [input p0]
6. ! [X0] : ((humble(X0) <~> creative(X0)) => happy(X0)) [input p5]
8. ! [X0] : ((~humble(X0) & tall(X0)) <=> (~strong(X0) | ~wis... | 0 |
If someone is not brave or curious then someone is either not funny or rich.
If someone is funny or not patient then john is not calm or old.
If someone is tall then paul is not happy.
If mary is either old or kind then someone is quiet or not calm and vice versa.
Everyone who is wise or not tall is not strong and vice... | Mary is not kind. | entailment | ((?[X]:((~brave(X)|curious(X))))=>(?[X]:((~funny(X)<~>rich(X)))))&
((?[X]:((funny(X)|~patient(X))))=>((~calm(john)|old(john))))&
((?[X]:(tall(X)))=>(~happy(paul)))&
(((old(mary)<~>kind(mary)))<=>(?[X]:((quiet(X)|~calm(X)))))&
(![X]:((wise(X)|~tall(X))<=>~strong(X)))&
(![X]:((kind(X)&generous(X))<=>(~calm(X)&~tall(X))))... | ~kind(mary) | [
"p5",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3770155695430611635727298
% SZS output start Proof for 3770155695430611635727298
6. ! [X0] : ((generous(X0) & kind(X0)) <=> (~tall(X0) & ~calm(X0))) [input p5]
9. ! [X0] : ((strong(X0) | ~tall(X0)) <=> (humble(X0) & tall(X0))) [input p8]
18. generous(mary) | ~kind(mary) [input p17]
22. ki... | 0 |
If susan is both humble and not rich then someone is both creative and not rich and vice versa. If susan is creative or not curious then someone is not quiet and vice versa. Everyone who is not humble or not calm is both calm and quiet. If john is wise then mary is both not happy and humble and vice versa. If fred is e... | Paul is not kind. | contradiction | (((humble(susan)&~rich(susan)))<=>(?[X]:((creative(X)&~rich(X)))))&
(((creative(susan)|~curious(susan)))<=>(?[X]:(~quiet(X))))&
(![X]:((~humble(X)|~calm(X))=>(calm(X)&quiet(X))))&
((wise(john))<=>((~happy(mary)&humble(mary))))&
(((rich(fred)<~>kind(fred)))=>((~creative(john)&happy(john))))&
(((~old(john)&~strong(john))... | ~kind(paul) | [
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4319777248846220521977214
% SZS output start Proof for 4319777248846220521977214
14. ! [X0] : (~strong(X0) <=> (kind(X0) & rich(X0))) [input p13]
16. ? [X0] : (~curious(X0) | ~wise(X0)) <=> ~strong(paul) [input p15]
20. kind(susan) & ~wise(susan) [input p19]
25. ~kind(paul) [input hypothe... | 0 |
Everyone who is both not generous and kind is generous. Everyone who is not rich is either curious or not patient and vice versa. If john is not brave or generous then alice is not wise or not kind. If susan is either quiet or curious then someone is both not humble and not calm. Everyone who is patient or calm is curi... | Fred is calm. | contradiction | (![X]:((~generous(X)&kind(X))=>generous(X)))&
(![X]:(~rich(X)<=>(curious(X)<~>~patient(X))))&
(((~brave(john)|generous(john)))=>((~wise(alice)|~kind(alice))))&
(((quiet(susan)<~>curious(susan)))=>(?[X]:((~humble(X)&~calm(X)))))&
(![X]:((patient(X)|calm(X))=>(curious(X)|rich(X))))&
(((~tall(john)<~>~old(john)))=>(?[X]:(... | calm(fred) | [
"p0",
"p4",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1707240845600399719127038
% SZS output start Proof for 1707240845600399719127038
1. ! [X0] : ((kind(X0) & ~generous(X0)) => generous(X0)) [input p0]
5. ! [X0] : ((calm(X0) | patient(X0)) => (rich(X0) | curious(X0))) [input p4]
11. (happy(john) & calm(john)) <=> (curious(fred) | ~kind(fred... | 0 |
Everyone who is patient or not funny is curious or funny and vice versa. If mary is not brave then john is not rich and vice versa. Everyone who is either quiet or not tall is either not tall or not quiet. If someone is not curious then someone is wise and vice versa. If someone is generous or happy then someone is bot... | John is not kind. | contradiction | (![X]:((patient(X)|~funny(X))<=>(curious(X)|funny(X))))&
((~brave(mary))<=>(~rich(john)))&
(![X]:((quiet(X)<~>~tall(X))=>(~tall(X)<~>~quiet(X))))&
((?[X]:(~curious(X)))<=>(?[X]:(wise(X))))&
((?[X]:((generous(X)|happy(X))))<=>(?[X]:((old(X)&tall(X)))))&
(![X]:((happy(X)|~old(X))<=>(~generous(X)&~strong(X))))&
(![X]:((~f... | ~kind(john) | [
"p2",
"p5",
"p6",
"p8",
"p9",
"p11",
"p13",
"p16",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 29646582372107301412162
% SZS output start Proof for 29646582372107301412162
3. ! [X0] : ((quiet(X0) <~> ~tall(X0)) => (~tall(X0) <~> ~quiet(X0))) [input p2]
6. ! [X0] : ((~old(X0) | happy(X0)) <=> (~strong(X0) & ~generous(X0))) [input p5]
7. ! [X0] : ((~calm(X0) & ~funny(X0)) <=> (~tall(... | 0 |
If someone is both humble and kind then someone is happy or not wise and vice versa.
Everyone who is happy is both generous and not curious and vice versa.
If someone is both humble and happy then john is happy or funny and vice versa.
If john is both not humble and not curious then paul is not quiet and vice versa.
Ev... | Alice is not strong. | neutral | ((?[X]:((humble(X)&kind(X))))<=>(?[X]:((happy(X)|~wise(X)))))&
(![X]:(happy(X)<=>(generous(X)&~curious(X))))&
((?[X]:((humble(X)&happy(X))))<=>((happy(john)|funny(john))))&
(((~humble(john)&~curious(john)))<=>(~quiet(paul)))&
(![X]:((~calm(X)|old(X))<=>(creative(X)|kind(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~quiet(X)|... | ~strong(alice) | [] | null | 0 |
Everyone who is either not creative or humble is strong.
Everyone who is both not wise and not curious is wise or kind.
Everyone who is not patient or not happy is kind or not brave and vice versa.
If lucy is not rich or generous then someone is old or not wise and vice versa.
Everyone who is funny is calm or old.
Ever... | Paul is rich. | neutral | (![X]:((~creative(X)<~>humble(X))=>strong(X)))&
(![X]:((~wise(X)&~curious(X))=>(wise(X)|kind(X))))&
(![X]:((~patient(X)|~happy(X))<=>(kind(X)|~brave(X))))&
(((~rich(lucy)|generous(lucy)))<=>(?[X]:((old(X)|~wise(X)))))&
(![X]:(funny(X)=>(calm(X)|old(X))))&
(![X]:((calm(X)<~>~funny(X))=>(~calm(X)&strong(X))))&
((~calm(jo... | rich(paul) | [] | null | 0 |
Everyone who is either not kind or humble is both strong and tall and vice versa. Everyone who is both not strong and not patient is not funny and vice versa. If john is not curious then lucy is not creative and vice versa. Everyone who is either not tall or not rich is both strong and not kind. Everyone who is not hum... | Susan is not rich. | entailment | (![X]:((~kind(X)<~>humble(X))<=>(strong(X)&tall(X))))&
(![X]:((~strong(X)&~patient(X))<=>~funny(X)))&
((~curious(john))<=>(~creative(lucy)))&
(![X]:((~tall(X)<~>~rich(X))=>(strong(X)&~kind(X))))&
(![X]:((~humble(X)|~quiet(X))<=>~happy(X)))&
((?[X]:((~tall(X)|quiet(X))))=>(?[X]:(~calm(X))))&
((happy(john))=>((calm(fred)... | ~rich(susan) | [
"p1",
"p4",
"p11",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 565806066178135619276257
% SZS output start Proof for 565806066178135619276257
2. ! [X0] : ((~patient(X0) & ~strong(X0)) <=> ~funny(X0)) [input p1]
5. ! [X0] : ((~quiet(X0) | ~humble(X0)) <=> ~happy(X0)) [input p4]
12. ! [X0] : (~curious(X0) <=> (~rich(X0) <~> ~patient(X0))) [input p11]
1... | 0 |
If someone is not rich then paul is either generous or calm and vice versa.
Everyone who is both old and wise is not happy or funny.
If susan is both not generous and not calm then john is not brave and vice versa.
Everyone who is not humble is either rich or not happy and vice versa.
Everyone who is either brave or no... | John is brave. | entailment | ((?[X]:(~rich(X)))<=>((generous(paul)<~>calm(paul))))&
(![X]:((old(X)&wise(X))=>(~happy(X)|funny(X))))&
(((~generous(susan)&~calm(susan)))<=>(~brave(john)))&
(![X]:(~humble(X)<=>(rich(X)<~>~happy(X))))&
(![X]:((brave(X)<~>~tall(X))<=>(~kind(X)&patient(X))))&
(((~generous(susan)<~>strong(susan)))<=>((~quiet(mary)<~>~kin... | brave(john) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6041290928180096505174564
% SZS output start Proof for 6041290928180096505174564
18. brave(john) & ~humble(john) [input p17]
25. ~brave(john) [input hypothesis]
137. brave(john) [cnf transformation 18]
148. ~brave(john) [cnf transformation 25]
169. 5 <=> brave(john) [avatar definition]
27... | 0 |
If fred is either not creative or not humble then alice is both not happy and strong and vice versa.
If someone is either brave or not brave then someone is both not curious and patient.
Everyone who is either generous or not curious is either not strong or strong.
If alice is both calm and creative then alice is not q... | Paul is quiet. | entailment | (((~creative(fred)<~>~humble(fred)))<=>((~happy(alice)&strong(alice))))&
((?[X]:((brave(X)<~>~brave(X))))=>(?[X]:((~curious(X)&patient(X)))))&
(![X]:((generous(X)<~>~curious(X))=>(~strong(X)<~>strong(X))))&
(((calm(alice)&creative(alice)))<=>(~quiet(alice)))&
(![X]:((strong(X)&~tall(X))=>(brave(X)|tall(X))))&
(![X]:((c... | quiet(paul) | [
"p5",
"p6",
"p11",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8973513009504358482271304
% SZS output start Proof for 8973513009504358482271304
6. ! [X0] : ((~kind(X0) & curious(X0)) <=> (happy(X0) & ~calm(X0))) [input p5]
7. ? [X0] : (patient(X0) & ~calm(X0)) <=> ~quiet(paul) [input p6]
12. ! [X0] : (brave(X0) => (~generous(X0) & curious(X0))) [inpu... | 0 |
Everyone who is both wise and not quiet is both not curious and funny.
If someone is both not brave and not strong then fred is patient or not quiet and vice versa.
Everyone who is creative is both not old and creative and vice versa.
Everyone who is both happy and not quiet is either not quiet or not creative and vice... | Paul is kind. | neutral | (![X]:((wise(X)&~quiet(X))=>(~curious(X)&funny(X))))&
((?[X]:((~brave(X)&~strong(X))))<=>((patient(fred)|~quiet(fred))))&
(![X]:(creative(X)<=>(~old(X)&creative(X))))&
(![X]:((happy(X)&~quiet(X))<=>(~quiet(X)<~>~creative(X))))&
(![X]:((funny(X)&happy(X))<=>(happy(X)|patient(X))))&
(![X]:(calm(X)<=>(~brave(X)<~>wise(X))... | kind(paul) | [] | null | 0 |
Everyone who is either old or curious is humble. Everyone who is either humble or creative is creative and vice versa. Everyone who is not old is rich. If someone is either curious or tall then john is either rich or kind. Everyone who is not quiet or not tall is both old and wise and vice versa. Everyone who is both n... | Mary is tall. | contradiction | (![X]:((old(X)<~>curious(X))=>humble(X)))&
(![X]:((humble(X)<~>creative(X))<=>creative(X)))&
(![X]:(~old(X)=>rich(X)))&
((?[X]:((curious(X)<~>tall(X))))=>((rich(john)<~>kind(john))))&
(![X]:((~quiet(X)|~tall(X))<=>(old(X)&wise(X))))&
(![X]:((~brave(X)&old(X))<=>~humble(X)))&
(![X]:((old(X)&brave(X))=>(funny(X)|~strong(... | tall(mary) | [
"p1",
"p5",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7968030472257702410248668
% SZS output start Proof for 7968030472257702410248668
2. ! [X0] : ((humble(X0) <~> creative(X0)) <=> creative(X0)) [input p1]
6. ! [X0] : ((old(X0) & ~brave(X0)) <=> ~humble(X0)) [input p5]
13. ! [X0] : ((~tall(X0) <~> old(X0)) => (calm(X0) & funny(X0))) [input ... | 0 |
If alice is either rich or happy then alice is curious.
If mary is wise or not patient then lucy is either not funny or kind.
If mary is either wise or humble then john is either not quiet or old.
If someone is either funny or not happy then someone is either humble or not humble.
Everyone who is both humble and patien... | John is patient. | entailment | (((rich(alice)<~>happy(alice)))=>(curious(alice)))&
(((wise(mary)|~patient(mary)))=>((~funny(lucy)<~>kind(lucy))))&
(((wise(mary)<~>humble(mary)))=>((~quiet(john)<~>old(john))))&
((?[X]:((funny(X)<~>~happy(X))))=>(?[X]:((humble(X)<~>~humble(X)))))&
(![X]:((humble(X)&patient(X))=>(wise(X)&~generous(X))))&
(![X]:(~calm(X... | patient(john) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2185719525243393696642691
% SZS output start Proof for 2185719525243393696642691
9. ! [X0] : (~patient(X0) <=> (~generous(X0) & patient(X0))) [input p8]
22. ~patient(john) [input hypothesis]
48. ! [X0] : ((~patient(X0) | (generous(X0) | ~patient(X0))) & ((~generous(X0) & patient(X0)) | pa... | 0 |
Everyone who is both not wise and brave is either patient or brave and vice versa.
Everyone who is strong or old is not calm.
Everyone who is both curious and not wise is calm.
Everyone who is not calm or not generous is not creative.
If someone is wise then john is either patient or not patient.
If susan is not strong... | Mary is wise. | contradiction | (![X]:((~wise(X)&brave(X))<=>(patient(X)<~>brave(X))))&
(![X]:((strong(X)|old(X))=>~calm(X)))&
(![X]:((curious(X)&~wise(X))=>calm(X)))&
(![X]:((~calm(X)|~generous(X))=>~creative(X)))&
((?[X]:(wise(X)))=>((patient(john)<~>~patient(john))))&
((~strong(susan))<=>(?[X]:((funny(X)&patient(X)))))&
((~funny(mary))=>((humble(j... | wise(mary) | [
"p0",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6433330320979590046299516
% SZS output start Proof for 6433330320979590046299516
1. ! [X0] : ((brave(X0) & ~wise(X0)) <=> (patient(X0) <~> brave(X0))) [input p0]
18. ~brave(mary) <~> ~patient(mary) [input p17]
24. wise(mary) [input hypothesis]
45. ! [X0] : (((brave(X0) & ~wise(X0)) | ((pa... | 0 |
If fred is generous then paul is not old and vice versa.
If someone is funny then someone is either happy or quiet and vice versa.
If someone is either not curious or quiet then someone is both not calm and not brave and vice versa.
Everyone who is not rich is both kind and not tall.
Everyone who is not patient is eith... | Paul is happy. | neutral | ((generous(fred))<=>(~old(paul)))&
((?[X]:(funny(X)))<=>(?[X]:((happy(X)<~>quiet(X)))))&
((?[X]:((~curious(X)<~>quiet(X))))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:(~rich(X)=>(kind(X)&~tall(X))))&
(![X]:(~patient(X)<=>(wise(X)<~>~calm(X))))&
(![X]:(~quiet(X)<=>(strong(X)|happy(X))))&
(![X]:((kind(X)<~>~humble(X))=>(ric... | happy(paul) | [] | null | 0 |
Everyone who is happy is patient.
Everyone who is either not calm or calm is wise or kind and vice versa.
If someone is either generous or rich then someone is both patient and generous.
If john is both kind and quiet then someone is both tall and not creative.
Everyone who is either old or not wise is not curious and ... | Mary is quiet. | entailment | (![X]:(happy(X)=>patient(X)))&
(![X]:((~calm(X)<~>calm(X))<=>(wise(X)|kind(X))))&
((?[X]:((generous(X)<~>rich(X))))=>(?[X]:((patient(X)&generous(X)))))&
(((kind(john)&quiet(john)))=>(?[X]:((tall(X)&~creative(X)))))&
(![X]:((old(X)<~>~wise(X))<=>~curious(X)))&
(![X]:(patient(X)<=>(tall(X)<~>happy(X))))&
(![X]:(~quiet(X)... | quiet(mary) | [
"p0",
"p5",
"p6",
"p9",
"p10",
"p11",
"p13",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5280292067772269106314974
% SZS output start Proof for 5280292067772269106314974
1. ! [X0] : (happy(X0) => patient(X0)) [input p0]
6. ! [X0] : (patient(X0) <=> (tall(X0) <~> happy(X0))) [input p5]
7. ! [X0] : (~quiet(X0) => creative(X0)) [input p6]
10. ? [X0] : (~funny(X0) <~> brave(X0)) ... | 0 |
Everyone who is both wise and not happy is both quiet and not funny and vice versa.
Everyone who is kind is either strong or not wise.
Everyone who is not calm or humble is old or not tall and vice versa.
Everyone who is curious is not quiet or funny and vice versa.
Everyone who is either wise or quiet is either curiou... | John is rich. | contradiction | (![X]:((wise(X)&~happy(X))<=>(quiet(X)&~funny(X))))&
(![X]:(kind(X)=>(strong(X)<~>~wise(X))))&
(![X]:((~calm(X)|humble(X))<=>(old(X)|~tall(X))))&
(![X]:(curious(X)<=>(~quiet(X)|funny(X))))&
(![X]:((wise(X)<~>quiet(X))<=>(curious(X)<~>calm(X))))&
(((happy(alice)<~>calm(alice)))=>(?[X]:((~creative(X)|~kind(X)))))&
(![X]:... | rich(john) | [
"p3",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2329343692925795010513981
% SZS output start Proof for 2329343692925795010513981
4. ! [X0] : (curious(X0) <=> (funny(X0) | ~quiet(X0))) [input p3]
15. ! [X0] : ((~curious(X0) <~> wise(X0)) <=> (~rich(X0) <~> ~wise(X0))) [input p14]
17. generous(john) & funny(john) [input p16]
25. rich(joh... | 0 |
If paul is rich then lucy is wise and vice versa.
Everyone who is old is not creative.
If someone is brave or rich then paul is either not creative or old.
Everyone who is both not creative and not rich is both not curious and generous and vice versa.
Everyone who is either funny or creative is either not funny or not ... | Susan is creative. | entailment | ((rich(paul))<=>(wise(lucy)))&
(![X]:(old(X)=>~creative(X)))&
((?[X]:((brave(X)|rich(X))))=>((~creative(paul)<~>old(paul))))&
(![X]:((~creative(X)&~rich(X))<=>(~curious(X)&generous(X))))&
(![X]:((funny(X)<~>creative(X))=>(~funny(X)<~>~curious(X))))&
(![X]:((~old(X)<~>~curious(X))<=>humble(X)))&
(((~rich(john)<~>~old(jo... | creative(susan) | [
"p0",
"p1",
"p2",
"p4",
"p6",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8033286531787355646578615
% SZS output start Proof for 8033286531787355646578615
1. rich(paul) <=> wise(lucy) [input p0]
2. ! [X0] : (old(X0) => ~creative(X0)) [input p1]
3. ? [X0] : (rich(X0) | brave(X0)) => (~creative(paul) <~> old(paul)) [input p2]
5. ! [X0] : ((funny(X0) <~> creative(... | 0 |
If john is both not calm and curious then someone is either kind or patient.
Everyone who is not quiet is either not happy or curious and vice versa.
Everyone who is not kind or not strong is not kind or strong.
Everyone who is either not curious or funny is either not kind or not patient.
Everyone who is not patient o... | Paul is creative. | neutral | (((~calm(john)&curious(john)))=>(?[X]:((kind(X)<~>patient(X)))))&
(![X]:(~quiet(X)<=>(~happy(X)<~>curious(X))))&
(![X]:((~kind(X)|~strong(X))=>(~kind(X)|strong(X))))&
(![X]:((~curious(X)<~>funny(X))=>(~kind(X)<~>~patient(X))))&
(![X]:((~patient(X)|~strong(X))=>(~strong(X)&~curious(X))))&
(![X]:(~curious(X)=>(~creative(... | creative(paul) | [] | null | 0 |
Everyone who is either not curious or curious is not creative or rich and vice versa.
Everyone who is both not happy and generous is either happy or tall.
If mary is either not quiet or not funny then someone is both not generous and rich and vice versa.
If john is both not happy and not quiet then paul is both tall an... | Mary is not wise. | neutral | (![X]:((~curious(X)<~>curious(X))<=>(~creative(X)|rich(X))))&
(![X]:((~happy(X)&generous(X))=>(happy(X)<~>tall(X))))&
(((~quiet(mary)<~>~funny(mary)))<=>(?[X]:((~generous(X)&rich(X)))))&
(((~happy(john)&~quiet(john)))<=>((tall(paul)&~curious(paul))))&
(![X]:((rich(X)&quiet(X))=>(funny(X)<~>creative(X))))&
(![X]:((~pati... | ~wise(mary) | [] | null | 0 |
If someone is both tall and not patient then john is not strong.
If mary is not humble then someone is both brave and not patient and vice versa.
Everyone who is not calm or not humble is both old and funny.
If someone is humble or wise then someone is both tall and creative.
If susan is patient or not curious then som... | Alice is not old. | neutral | ((?[X]:((tall(X)&~patient(X))))=>(~strong(john)))&
((~humble(mary))<=>(?[X]:((brave(X)&~patient(X)))))&
(![X]:((~calm(X)|~humble(X))=>(old(X)&funny(X))))&
((?[X]:((humble(X)|wise(X))))=>(?[X]:((tall(X)&creative(X)))))&
(((patient(susan)|~curious(susan)))<=>(?[X]:((~happy(X)|funny(X)))))&
(![X]:((rich(X)|~calm(X))=>humb... | ~old(alice) | [] | null | 0 |
Everyone who is funny or not kind is both not wise and brave.
Everyone who is not curious or not quiet is either not patient or humble.
If paul is not wise or generous then fred is either not strong or not tall.
Everyone who is both brave and generous is either rich or kind and vice versa.
If fred is both not calm and ... | Alice is humble. | contradiction | (![X]:((funny(X)|~kind(X))=>(~wise(X)&brave(X))))&
(![X]:((~curious(X)|~quiet(X))=>(~patient(X)<~>humble(X))))&
(((~wise(paul)|generous(paul)))=>((~strong(fred)<~>~tall(fred))))&
(![X]:((brave(X)&generous(X))<=>(rich(X)<~>kind(X))))&
(((~calm(fred)&~rich(fred)))<=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((~calm(X)|~crea... | humble(alice) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8431065962888121039290721
% SZS output start Proof for 8431065962888121039290721
13. ! [X0] : (tall(X0) <=> curious(X0)) [input p12]
14. ! [X0] : ((tall(X0) <~> humble(X0)) <=> curious(X0)) [input p13]
23. humble(alice) [input hypothesis]
51. ! [X0] : ((tall(X0) | ~curious(X0)) & (curious... | 0 |
Everyone who is both tall and generous is both humble and tall and vice versa. Everyone who is rich or not old is both not curious and not wise and vice versa. Everyone who is both not kind and not strong is either kind or not funny. Everyone who is not happy is brave. Everyone who is happy is not humble and vice versa... | Mary is strong. | neutral | (![X]:((tall(X)&generous(X))<=>(humble(X)&tall(X))))&
(![X]:((rich(X)|~old(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~kind(X)&~strong(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~happy(X)=>brave(X)))&
(![X]:(happy(X)<=>~humble(X)))&
(![X]:((~wise(X)&generous(X))=>~calm(X)))&
(![X]:((brave(X)|rich(X))<=>(~patient(X)|happy(X))))&... | strong(mary) | [] | null | 0 |
If susan is old then someone is either rich or not old.
Everyone who is either not old or kind is not generous or calm and vice versa.
Everyone who is both old and not humble is both not tall and patient and vice versa.
If someone is both not wise and not happy then someone is either not strong or tall.
Everyone who is... | Fred is strong. | entailment | ((old(susan))=>(?[X]:((rich(X)<~>~old(X)))))&
(![X]:((~old(X)<~>kind(X))<=>(~generous(X)|calm(X))))&
(![X]:((old(X)&~humble(X))<=>(~tall(X)&patient(X))))&
((?[X]:((~wise(X)&~happy(X))))=>(?[X]:((~strong(X)<~>tall(X)))))&
(![X]:((calm(X)|humble(X))=>(brave(X)&happy(X))))&
(((~humble(lucy)|strong(lucy)))=>(wise(susan)))&... | strong(fred) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4870558147101296715384476
% SZS output start Proof for 4870558147101296715384476
19. strong(fred) [input p18]
25. ~strong(fred) [input hypothesis]
124. strong(fred) [cnf transformation 19]
133. ~strong(fred) [cnf transformation 25]
224. $false [subsumption resolution 133,124]
% SZS output... | 0 |
If someone is both wise and calm then someone is not quiet or tall and vice versa. If someone is rich or wise then john is not strong. If someone is both quiet and not humble then someone is not old and vice versa. If john is wise then someone is patient or not old. If mary is not creative then paul is both not patient... | John is not strong. | entailment | ((?[X]:((wise(X)&calm(X))))<=>(?[X]:((~quiet(X)|tall(X)))))&
((?[X]:((rich(X)|wise(X))))=>(~strong(john)))&
((?[X]:((quiet(X)&~humble(X))))<=>(?[X]:(~old(X))))&
((wise(john))=>(?[X]:((patient(X)|~old(X)))))&
((~creative(mary))<=>((~patient(paul)&~strong(paul))))&
(![X]:((~strong(X)&~humble(X))=>(calm(X)<~>strong(X))))&... | ~strong(john) | [
"p0",
"p1",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3448421340705827655445789
% SZS output start Proof for 3448421340705827655445789
1. ? [X0] : (calm(X0) & wise(X0)) <=> ? [X0] : (tall(X0) | ~quiet(X0)) [input p0]
2. ? [X0] : (wise(X0) | rich(X0)) => ~strong(john) [input p1]
21. ? [X0] : (~quiet(X0) & ~calm(X0)) [input p20]
25. strong(joh... | 0 |
Everyone who is funny is either not brave or humble and vice versa.
If someone is either quiet or kind then alice is both generous and not quiet.
Everyone who is not old or tall is either not old or not kind.
If someone is either not kind or brave then someone is both creative and generous and vice versa.
If someone is... | Fred is not strong. | neutral | (![X]:(funny(X)<=>(~brave(X)<~>humble(X))))&
((?[X]:((quiet(X)<~>kind(X))))=>((generous(alice)&~quiet(alice))))&
(![X]:((~old(X)|tall(X))=>(~old(X)<~>~kind(X))))&
((?[X]:((~kind(X)<~>brave(X))))<=>(?[X]:((creative(X)&generous(X)))))&
((?[X]:(quiet(X)))=>(?[X]:((brave(X)&~brave(X)))))&
((?[X]:(humble(X)))=>((~humble(ali... | ~strong(fred) | [] | null | 0 |
If mary is quiet then someone is not happy. Everyone who is kind is tall or not tall and vice versa. Everyone who is curious is both humble and not kind and vice versa. If someone is quiet or tall then someone is not creative and vice versa. Everyone who is either patient or not patient is not brave and vice versa. Eve... | Mary is patient. | neutral | ((quiet(mary))=>(?[X]:(~happy(X))))&
(![X]:(kind(X)<=>(tall(X)|~tall(X))))&
(![X]:(curious(X)<=>(humble(X)&~kind(X))))&
((?[X]:((quiet(X)|tall(X))))<=>(?[X]:(~creative(X))))&
(![X]:((patient(X)<~>~patient(X))<=>~brave(X)))&
(![X]:((brave(X)|strong(X))=>~calm(X)))&
((?[X]:((~wise(X)|patient(X))))=>(?[X]:(~rich(X))))&
(!... | patient(mary) | [] | null | 0 |
If someone is either old or funny then someone is either not tall or not wise and vice versa.
If someone is both not wise and strong then paul is generous or curious.
Everyone who is both not rich and funny is either not happy or creative and vice versa.
If susan is not kind then someone is happy or calm and vice versa... | John is not happy. | contradiction | ((?[X]:((old(X)<~>funny(X))))<=>(?[X]:((~tall(X)<~>~wise(X)))))&
((?[X]:((~wise(X)&strong(X))))=>((generous(paul)|curious(paul))))&
(![X]:((~rich(X)&funny(X))<=>(~happy(X)<~>creative(X))))&
((~kind(susan))<=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((~creative(X)<~>creative(X))<=>(quiet(X)<~>calm(X))))&
(![X]:(~patient(X)<=... | ~happy(john) | [
"p5",
"p18",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5266356355241536356767942
% SZS output start Proof for 5266356355241536356767942
6. ! [X0] : (~patient(X0) <=> (rich(X0) | ~happy(X0))) [input p5]
19. ~tall(john) <~> ~patient(john) [input p18]
22. ~tall(john) [input p21]
23. ~happy(john) [input hypothesis]
46. ! [X0] : ((~patient(X0) | (... | 0 |
Everyone who is both calm and not curious is curious or generous and vice versa.
If someone is both not patient and not creative then someone is both strong and not wise and vice versa.
Everyone who is either rich or humble is either kind or not funny.
If someone is either not kind or tall then someone is not generous.... | Alice is not calm. | entailment | (![X]:((calm(X)&~curious(X))<=>(curious(X)|generous(X))))&
((?[X]:((~patient(X)&~creative(X))))<=>(?[X]:((strong(X)&~wise(X)))))&
(![X]:((rich(X)<~>humble(X))=>(kind(X)<~>~funny(X))))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~generous(X))))&
(((wise(mary)|brave(mary)))=>(?[X]:((strong(X)<~>tall(X)))))&
(![X]:((tall(X)<~... | ~calm(alice) | [
"p0",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7189684597859834878683942
% SZS output start Proof for 7189684597859834878683942
1. ! [X0] : ((~curious(X0) & calm(X0)) <=> (generous(X0) | curious(X0))) [input p0]
7. ! [X0] : ((curious(X0) | ~creative(X0)) => (patient(X0) & ~generous(X0))) [input p6]
10. ! [X0] : ((calm(X0) | curious(X0... | 0 |
If someone is either not calm or not curious then someone is either strong or not old and vice versa. If someone is not humble or not creative then lucy is both not creative and rich. Everyone who is funny or kind is both not quiet and old. If someone is happy or not calm then someone is not quiet. Everyone who is crea... | Fred is rich. | neutral | ((?[X]:((~calm(X)<~>~curious(X))))<=>(?[X]:((strong(X)<~>~old(X)))))&
((?[X]:((~humble(X)|~creative(X))))=>((~creative(lucy)&rich(lucy))))&
(![X]:((funny(X)|kind(X))=>(~quiet(X)&old(X))))&
((?[X]:((happy(X)|~calm(X))))=>(?[X]:(~quiet(X))))&
(![X]:(creative(X)=>(~wise(X)|~happy(X))))&
((?[X]:((~quiet(X)&kind(X))))=>((ha... | rich(fred) | [] | null | 0 |
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