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 both funny and not patient is not calm or not brave and vice versa.
If john is not rich then someone is both rich and curious and vice versa.
If someone is patient then someone is either humble or not funny.
If susan is not old or calm then susan is old.
Everyone who is not old or generous is not brave ... | John is not happy. | contradiction | (![X]:((funny(X)&~patient(X))<=>(~calm(X)|~brave(X))))&
((~rich(john))<=>(?[X]:((rich(X)&curious(X)))))&
((?[X]:(patient(X)))=>(?[X]:((humble(X)<~>~funny(X)))))&
(((~old(susan)|calm(susan)))=>(old(susan)))&
(![X]:((~old(X)|generous(X))<=>~brave(X)))&
(![X]:((rich(X)|~strong(X))<=>(curious(X)|~tall(X))))&
(((happy(lucy)... | ~happy(john) | [
"p0",
"p8",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1330194770555615366347782
% SZS output start Proof for 1330194770555615366347782
1. ! [X0] : ((~patient(X0) & funny(X0)) <=> (~brave(X0) | ~calm(X0))) [input p0]
9. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (kind(X0) <~> ~calm(X0))) [input p8]
11. ! [X0] : ((~calm(X0) & brave(X0)) <=> (~wi... | 0 |
Everyone who is both brave and happy is either funny or generous and vice versa.
If john is not quiet or not tall then susan is either kind or not kind.
Everyone who is not funny is not brave or funny and vice versa.
If lucy is both kind and not funny then someone is both generous and kind and vice versa.
Everyone who ... | Lucy is not tall. | entailment | (![X]:((brave(X)&happy(X))<=>(funny(X)<~>generous(X))))&
(((~quiet(john)|~tall(john)))=>((kind(susan)<~>~kind(susan))))&
(![X]:(~funny(X)<=>(~brave(X)|funny(X))))&
(((kind(lucy)&~funny(lucy)))<=>(?[X]:((generous(X)&kind(X)))))&
(![X]:(~tall(X)<=>(~patient(X)|funny(X))))&
(![X]:((quiet(X)|~strong(X))=>old(X)))&
((?[X]:(... | ~tall(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 485904584514925569314401
% SZS output start Proof for 485904584514925569314401
8. ! [X0] : ((calm(X0) & ~calm(X0)) <=> tall(X0)) [input p7]
23. tall(lucy) [input hypothesis]
46. ! [X0] : (((calm(X0) & ~calm(X0)) | ~tall(X0)) & (tall(X0) | (~calm(X0) | calm(X0)))) [nnf transformation 8]
47... | 0 |
If alice is both not tall and curious then mary is both calm and not patient.
Everyone who is both brave and creative is either wise or not kind and vice versa.
If fred is not tall then mary is both not humble and curious.
If someone is wise or not rich then fred is both not calm and strong.
Everyone who is tall or not... | Susan is rich. | entailment | (((~tall(alice)&curious(alice)))=>((calm(mary)&~patient(mary))))&
(![X]:((brave(X)&creative(X))<=>(wise(X)<~>~kind(X))))&
((~tall(fred))=>((~humble(mary)&curious(mary))))&
((?[X]:((wise(X)|~rich(X))))=>((~calm(fred)&strong(fred))))&
(![X]:((tall(X)|~funny(X))<=>(generous(X)&~tall(X))))&
(![X]:((rich(X)|tall(X))<=>(~hum... | rich(susan) | [
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2098759574346565409416627
% SZS output start Proof for 2098759574346565409416627
5. ! [X0] : ((~funny(X0) | tall(X0)) <=> (~tall(X0) & generous(X0))) [input p4]
9. ! [X0] : ((~brave(X0) | ~rich(X0)) => tall(X0)) [input p8]
18. ~rich(susan) [input hypothesis]
27. ! [X0] : (tall(X0) | (brav... | 0 |
If paul is both creative and generous then susan is funny or creative and vice versa.
If paul is not funny then someone is both brave and not old and vice versa.
Everyone who is not strong or patient is either not generous or old.
If someone is humble or generous then someone is either not happy or calm and vice versa.... | Fred is not brave. | neutral | (((creative(paul)&generous(paul)))<=>((funny(susan)|creative(susan))))&
((~funny(paul))<=>(?[X]:((brave(X)&~old(X)))))&
(![X]:((~strong(X)|patient(X))=>(~generous(X)<~>old(X))))&
((?[X]:((humble(X)|generous(X))))<=>(?[X]:((~happy(X)<~>calm(X)))))&
(![X]:((~kind(X)<~>rich(X))=>(~strong(X)|~rich(X))))&
(![X]:((curious(X)... | ~brave(fred) | [] | null | 0 |
Everyone who is generous is not quiet or not kind and vice versa.
Everyone who is kind or not happy is not quiet and vice versa.
If john is both not rich and not generous then john is either not creative or curious.
Everyone who is kind is not curious and vice versa.
Everyone who is not tall or curious is both not calm... | John is calm. | contradiction | (![X]:(generous(X)<=>(~quiet(X)|~kind(X))))&
(![X]:((kind(X)|~happy(X))<=>~quiet(X)))&
(((~rich(john)&~generous(john)))=>((~creative(john)<~>curious(john))))&
(![X]:(kind(X)<=>~curious(X)))&
(![X]:((~tall(X)|curious(X))=>(~calm(X)&~funny(X))))&
((?[X]:(~creative(X)))=>((~quiet(paul)&~strong(paul))))&
((?[X]:((tall(X)&r... | calm(john) | [
"p0",
"p1",
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4513121946960179766857047
% SZS output start Proof for 4513121946960179766857047
1. ! [X0] : (generous(X0) <=> (~kind(X0) | ~quiet(X0))) [input p0]
2. ! [X0] : ((~happy(X0) | kind(X0)) <=> ~quiet(X0)) [input p1]
4. ! [X0] : (kind(X0) <=> ~curious(X0)) [input p3]
5. ! [X0] : ((curious(X0) ... | 0 |
Everyone who is both wise and not kind is either not humble or creative and vice versa. Everyone who is both not kind and humble is either not rich or not quiet and vice versa. Everyone who is not tall is not wise and vice versa. If someone is both brave and not brave then lucy is both not quiet and strong and vice ver... | Fred is not quiet. | contradiction | (![X]:((wise(X)&~kind(X))<=>(~humble(X)<~>creative(X))))&
(![X]:((~kind(X)&humble(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:(~tall(X)<=>~wise(X)))&
((?[X]:((brave(X)&~brave(X))))<=>((~quiet(lucy)&strong(lucy))))&
((curious(lucy))<=>(?[X]:(happy(X))))&
(![X]:((rich(X)<~>~happy(X))=>(brave(X)<~>~funny(X))))&
(![X]:(happy(X)<... | ~quiet(fred) | [
"p2",
"p8",
"p9",
"p11",
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7546547467429232124980114
% SZS output start Proof for 7546547467429232124980114
3. ! [X0] : (~tall(X0) <=> ~wise(X0)) [input p2]
9. ! [X0] : ((~quiet(X0) | humble(X0)) => ~wise(X0)) [input p8]
10. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> (old(X0) & rich(X0))) [input p9]
12. ! [X0] : ((tall... | 0 |
If someone is both not quiet and strong then alice is both not calm and wise.
If fred is either not patient or brave then mary is both happy and not rich.
If john is not creative then paul is creative or old and vice versa.
If susan is not patient then john is not creative.
Everyone who is both not rich and strong is n... | John is not tall. | neutral | ((?[X]:((~quiet(X)&strong(X))))=>((~calm(alice)&wise(alice))))&
(((~patient(fred)<~>brave(fred)))=>((happy(mary)&~rich(mary))))&
((~creative(john))<=>((creative(paul)|old(paul))))&
((~patient(susan))=>(~creative(john)))&
(![X]:((~rich(X)&strong(X))<=>~strong(X)))&
((?[X]:(~funny(X)))=>(?[X]:((~curious(X)<~>tall(X)))))&... | ~tall(john) | [] | null | 0 |
Everyone who is both not rich and brave is both not funny and not old and vice versa. Everyone who is either not brave or rich is not brave. If someone is either quiet or not calm then someone is both brave and not old and vice versa. If lucy is either strong or tall then someone is strong and vice versa. Everyone who ... | Lucy is not rich. | entailment | (![X]:((~rich(X)&brave(X))<=>(~funny(X)&~old(X))))&
(![X]:((~brave(X)<~>rich(X))=>~brave(X)))&
((?[X]:((quiet(X)<~>~calm(X))))<=>(?[X]:((brave(X)&~old(X)))))&
(((strong(lucy)<~>tall(lucy)))<=>(?[X]:(strong(X))))&
(![X]:((~creative(X)&~happy(X))<=>(tall(X)<~>strong(X))))&
((humble(mary))<=>((patient(mary)&~funny(mary)))... | ~rich(lucy) | [
"p0",
"p1",
"p9",
"p13",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3833610645856386619487916
% SZS output start Proof for 3833610645856386619487916
1. ! [X0] : ((brave(X0) & ~rich(X0)) <=> (~old(X0) & ~funny(X0))) [input p0]
2. ! [X0] : ((~brave(X0) <~> rich(X0)) => ~brave(X0)) [input p1]
10. ? [X0] : (~brave(X0) | patient(X0)) => calm(lucy) [input p9]
1... | 0 |
If fred is both tall and not happy then mary is either not tall or not patient.
If someone is not patient or not happy then mary is both not happy and not funny.
Everyone who is either quiet or not tall is either not calm or funny.
If fred is not rich then someone is funny.
Everyone who is both quiet and wise is not br... | John is not rich. | contradiction | (((tall(fred)&~happy(fred)))=>((~tall(mary)<~>~patient(mary))))&
((?[X]:((~patient(X)|~happy(X))))=>((~happy(mary)&~funny(mary))))&
(![X]:((quiet(X)<~>~tall(X))=>(~calm(X)<~>funny(X))))&
((~rich(fred))=>(?[X]:(funny(X))))&
(![X]:((quiet(X)&wise(X))=>~brave(X)))&
(![X]:((~creative(X)<~>kind(X))=>(rich(X)<~>tall(X))))&
(... | ~rich(john) | [
"p5",
"p7",
"p8",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2788689791419854809694287
% SZS output start Proof for 2788689791419854809694287
6. ! [X0] : ((~creative(X0) <~> kind(X0)) => (rich(X0) <~> tall(X0))) [input p5]
8. ! [X0] : ((~creative(X0) | ~patient(X0)) <=> (~kind(X0) & ~patient(X0))) [input p7]
9. ! [X0] : ((creative(X0) | generous(X0... | 0 |
Everyone who is either tall or not patient is both tall and quiet and vice versa.
If john is not brave then mary is either old or not kind and vice versa.
Everyone who is either not rich or funny is either not kind or old.
Everyone who is both not old and not generous is patient or not kind.
Everyone who is patient or ... | Mary is not rich. | contradiction | (![X]:((tall(X)<~>~patient(X))<=>(tall(X)&quiet(X))))&
((~brave(john))<=>((old(mary)<~>~kind(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(~kind(X)<~>old(X))))&
(![X]:((~old(X)&~generous(X))=>(patient(X)|~kind(X))))&
(![X]:((patient(X)|old(X))<=>(tall(X)&~wise(X))))&
(![X]:((patient(X)&~old(X))<=>(~old(X)|funny(X))))&
(((qu... | ~rich(mary) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 492519984663159917132095
% SZS output start Proof for 492519984663159917132095
9. ! [X0] : (~rich(X0) => rich(X0)) [input p8]
22. ~rich(mary) [input hypothesis]
29. ! [X0] : (rich(X0) | rich(X0)) [ennf transformation 9]
114. rich(X0) | rich(X0) [cnf transformation 29]
155. ~rich(mary) [cn... | 0 |
Everyone who is not generous is patient or not brave and vice versa. Everyone who is brave is either not curious or not patient and vice versa. Everyone who is either not kind or rich is not wise and vice versa. If john is both generous and not strong then someone is not funny or strong and vice versa. If john is rich ... | Fred is not creative. | contradiction | (![X]:(~generous(X)<=>(patient(X)|~brave(X))))&
(![X]:(brave(X)<=>(~curious(X)<~>~patient(X))))&
(![X]:((~kind(X)<~>rich(X))<=>~wise(X)))&
(((generous(john)&~strong(john)))<=>(?[X]:((~funny(X)|strong(X)))))&
(((rich(john)|~strong(john)))=>((kind(mary)<~>quiet(mary))))&
((?[X]:((curious(X)<~>~happy(X))))=>(?[X]:((humble... | ~creative(fred) | [
"p0",
"p3",
"p12",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7092966477929834182648575
% SZS output start Proof for 7092966477929834182648575
1. ! [X0] : (~generous(X0) <=> (~brave(X0) | patient(X0))) [input p0]
4. (~strong(john) & generous(john)) <=> ? [X0] : (strong(X0) | ~funny(X0)) [input p3]
13. ! [X0] : ((old(X0) | ~strong(X0)) <=> ~kind(X0))... | 0 |
If someone is not strong then someone is old or not generous and vice versa.
Everyone who is either not quiet or not old is not wise or not humble and vice versa.
If someone is either not quiet or humble then someone is not creative or patient and vice versa.
If someone is both not quiet and not humble then someone is ... | Alice is not tall. | entailment | ((?[X]:(~strong(X)))<=>(?[X]:((old(X)|~generous(X)))))&
(![X]:((~quiet(X)<~>~old(X))<=>(~wise(X)|~humble(X))))&
((?[X]:((~quiet(X)<~>humble(X))))<=>(?[X]:((~creative(X)|patient(X)))))&
((?[X]:((~quiet(X)&~humble(X))))=>(?[X]:((~generous(X)|humble(X)))))&
(![X]:((~quiet(X)|generous(X))=>(tall(X)<~>old(X))))&
(![X]:((cur... | ~tall(alice) | [
"p1",
"p4",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8093278649362983226493188
% SZS output start Proof for 8093278649362983226493188
2. ! [X0] : ((~quiet(X0) <~> ~old(X0)) <=> (~humble(X0) | ~wise(X0))) [input p1]
5. ! [X0] : ((generous(X0) | ~quiet(X0)) => (tall(X0) <~> old(X0))) [input p4]
8. ! [X0] : ((~humble(X0) | old(X0)) <=> (creati... | 0 |
Everyone who is either not generous or not calm is either funny or strong and vice versa. Everyone who is patient is not quiet. Everyone who is not patient or happy is generous or not tall and vice versa. Everyone who is both not quiet and not tall is brave and vice versa. If someone is brave then john is humble. Every... | Fred is not kind. | contradiction | (![X]:((~generous(X)<~>~calm(X))<=>(funny(X)<~>strong(X))))&
(![X]:(patient(X)=>~quiet(X)))&
(![X]:((~patient(X)|happy(X))<=>(generous(X)|~tall(X))))&
(![X]:((~quiet(X)&~tall(X))<=>brave(X)))&
((?[X]:(brave(X)))=>(humble(john)))&
(![X]:((brave(X)|generous(X))<=>(~generous(X)|kind(X))))&
(![X]:((~funny(X)|~curious(X))<=... | ~kind(fred) | [
"p3",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1359419784495741057678700
% SZS output start Proof for 1359419784495741057678700
4. ! [X0] : ((~tall(X0) & ~quiet(X0)) <=> brave(X0)) [input p3]
6. ! [X0] : ((generous(X0) | brave(X0)) <=> (kind(X0) | ~generous(X0))) [input p5]
20. quiet(fred) | ~brave(fred) [input p19]
25. ~kind(fred) [i... | 0 |
Everyone who is not humble or calm is both old and patient and vice versa.
If someone is not strong then someone is either not generous or quiet and vice versa.
Everyone who is not generous or patient is tall or not strong and vice versa.
Everyone who is quiet or not strong is not funny.
Everyone who is either brave or... | Fred is tall. | entailment | (![X]:((~humble(X)|calm(X))<=>(old(X)&patient(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~generous(X)<~>quiet(X)))))&
(![X]:((~generous(X)|patient(X))<=>(tall(X)|~strong(X))))&
(![X]:((quiet(X)|~strong(X))=>~funny(X)))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)|~calm(X))))&
(((quiet(lucy)&generous(lucy)))<=>(?[X]:(~brave(X... | tall(fred) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7176621741002307537650839
% SZS output start Proof for 7176621741002307537650839
1. ! [X0] : ((calm(X0) | ~humble(X0)) <=> (patient(X0) & old(X0))) [input p0]
3. ! [X0] : ((patient(X0) | ~generous(X0)) <=> (~strong(X0) | tall(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | quiet(X0)) => ~fun... | 0 |
If alice is strong then alice is tall and vice versa.
Everyone who is both creative and funny is either brave or kind.
If john is both not kind and old then someone is not creative or not funny and vice versa.
Everyone who is not curious is either not patient or humble.
If someone is not curious then alice is old.
Ever... | Mary is not kind. | neutral | ((strong(alice))<=>(tall(alice)))&
(![X]:((creative(X)&funny(X))=>(brave(X)<~>kind(X))))&
(((~kind(john)&old(john)))<=>(?[X]:((~creative(X)|~funny(X)))))&
(![X]:(~curious(X)=>(~patient(X)<~>humble(X))))&
((?[X]:(~curious(X)))=>(old(alice)))&
(![X]:((~funny(X)|~rich(X))<=>(~strong(X)<~>patient(X))))&
((?[X]:((humble(X)|... | ~kind(mary) | [] | null | 0 |
Everyone who is not tall or strong is either calm or not funny and vice versa.
If someone is not brave or not rich then someone is both not quiet and quiet and vice versa.
If mary is not funny or not brave then paul is strong and vice versa.
If john is either not rich or wise then someone is either old or not wise.
Eve... | Mary is strong. | neutral | (![X]:((~tall(X)|strong(X))<=>(calm(X)<~>~funny(X))))&
((?[X]:((~brave(X)|~rich(X))))<=>(?[X]:((~quiet(X)&quiet(X)))))&
(((~funny(mary)|~brave(mary)))<=>(strong(paul)))&
(((~rich(john)<~>wise(john)))=>(?[X]:((old(X)<~>~wise(X)))))&
(![X]:((~generous(X)|brave(X))<=>~wise(X)))&
((~brave(lucy))=>(?[X]:(~patient(X))))&
(![... | strong(mary) | [] | null | 0 |
If john is either not funny or quiet then fred is happy.
If someone is brave or not wise then susan is both tall and not rich and vice versa.
If someone is humble then lucy is either humble or quiet.
Everyone who is strong is both not wise and strong.
Everyone who is not humble is not quiet or not old.
Everyone who is ... | Mary is quiet. | neutral | (((~funny(john)<~>quiet(john)))=>(happy(fred)))&
((?[X]:((brave(X)|~wise(X))))<=>((tall(susan)&~rich(susan))))&
((?[X]:(humble(X)))=>((humble(lucy)<~>quiet(lucy))))&
(![X]:(strong(X)=>(~wise(X)&strong(X))))&
(![X]:(~humble(X)=>(~quiet(X)|~old(X))))&
(![X]:((curious(X)|creative(X))=>tall(X)))&
(![X]:(generous(X)<=>curio... | quiet(mary) | [] | null | 0 |
If paul is kind then susan is happy and vice versa.
Everyone who is calm is both creative and old.
If fred is not kind or not tall then someone is not happy or not creative and vice versa.
Everyone who is not creative or not generous is not happy and vice versa.
Everyone who is brave or not wise is both not creative an... | Fred is not quiet. | neutral | ((kind(paul))<=>(happy(susan)))&
(![X]:(calm(X)=>(creative(X)&old(X))))&
(((~kind(fred)|~tall(fred)))<=>(?[X]:((~happy(X)|~creative(X)))))&
(![X]:((~creative(X)|~generous(X))<=>~happy(X)))&
(![X]:((brave(X)|~wise(X))=>(~creative(X)&humble(X))))&
(![X]:((~patient(X)|~humble(X))<=>(curious(X)|funny(X))))&
(((quiet(susan)... | ~quiet(fred) | [] | null | 0 |
If paul is both not generous and not curious then lucy is either not humble or not curious and vice versa. If someone is generous then someone is either not generous or not kind. If someone is not creative or not generous then someone is not generous or not tall and vice versa. Everyone who is strong is both old and no... | Alice is not kind. | contradiction | (((~generous(paul)&~curious(paul)))<=>((~humble(lucy)<~>~curious(lucy))))&
((?[X]:(generous(X)))=>(?[X]:((~generous(X)<~>~kind(X)))))&
((?[X]:((~creative(X)|~generous(X))))<=>(?[X]:((~generous(X)|~tall(X)))))&
(![X]:(strong(X)=>(old(X)&~brave(X))))&
((?[X]:((brave(X)|humble(X))))=>(?[X]:((wise(X)|generous(X)))))&
(![X]... | ~kind(alice) | [
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2483672174164604462234167
% SZS output start Proof for 2483672174164604462234167
11. ! [X0] : ((~kind(X0) | ~calm(X0)) => ~patient(X0)) [input p10]
23. patient(alice) [input p22]
24. ~kind(alice) [input hypothesis]
36. ! [X0] : (~patient(X0) | (kind(X0) & calm(X0))) [ennf transformation 1... | 0 |
Everyone who is strong or not wise is not old or not calm.
If someone is strong or happy then susan is not kind.
Everyone who is humble is both generous and not rich.
Everyone who is old or brave is both not brave and brave.
If someone is curious or not generous then lucy is quiet or generous and vice versa.
If alice i... | John is not kind. | neutral | (![X]:((strong(X)|~wise(X))=>(~old(X)|~calm(X))))&
((?[X]:((strong(X)|happy(X))))=>(~kind(susan)))&
(![X]:(humble(X)=>(generous(X)&~rich(X))))&
(![X]:((old(X)|brave(X))=>(~brave(X)&brave(X))))&
((?[X]:((curious(X)|~generous(X))))<=>((quiet(lucy)|generous(lucy))))&
(((brave(alice)&~curious(alice)))=>((old(paul)|~funny(p... | ~kind(john) | [] | null | 0 |
Everyone who is both old and patient is not kind or old and vice versa.
If someone is not creative then someone is both creative and not brave.
Everyone who is tall or not happy is not strong.
If mary is not kind or old then susan is not generous and vice versa.
Everyone who is not generous is either not generous or wi... | Lucy is tall. | entailment | (![X]:((old(X)&patient(X))<=>(~kind(X)|old(X))))&
((?[X]:(~creative(X)))=>(?[X]:((creative(X)&~brave(X)))))&
(![X]:((tall(X)|~happy(X))=>~strong(X)))&
(((~kind(mary)|old(mary)))<=>(~generous(susan)))&
(![X]:(~generous(X)<=>(~generous(X)<~>wise(X))))&
((?[X]:((funny(X)|brave(X))))<=>((kind(fred)<~>old(fred))))&
(((wise(... | tall(lucy) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8575071385555451340223928
% SZS output start Proof for 8575071385555451340223928
5. ! [X0] : (~generous(X0) <=> (~generous(X0) <~> wise(X0))) [input p4]
13. ? [X0] : (~tall(X0) | curious(X0)) <=> (patient(alice) & wise(alice)) [input p12]
21. ~tall(lucy) [input hypothesis]
39. ! [X0] : ((... | 0 |
If john is both not tall and not old then paul is happy and vice versa.
If someone is not humble then someone is not generous or not wise.
Everyone who is not strong is both not kind and tall.
If susan is either not happy or wise then lucy is either not generous or creative.
If john is humble or patient then lucy is no... | Mary is not patient. | entailment | (((~tall(john)&~old(john)))<=>(happy(paul)))&
((?[X]:(~humble(X)))=>(?[X]:((~generous(X)|~wise(X)))))&
(![X]:(~strong(X)=>(~kind(X)&tall(X))))&
(((~happy(susan)<~>wise(susan)))=>((~generous(lucy)<~>creative(lucy))))&
(((humble(john)|patient(john)))=>(~humble(lucy)))&
(![X]:((humble(X)|~kind(X))=>(brave(X)&~happy(X))))&... | ~patient(mary) | [
"p2",
"p5",
"p9",
"p10",
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1874110869370178508113586
% SZS output start Proof for 1874110869370178508113586
3. ! [X0] : (~strong(X0) => (tall(X0) & ~kind(X0))) [input p2]
6. ! [X0] : ((~kind(X0) | humble(X0)) => (~happy(X0) & brave(X0))) [input p5]
10. generous(mary) <=> ~patient(alice) [input p9]
11. ! [X0] : ((ol... | 0 |
Everyone who is both creative and not patient is not generous or not rich and vice versa.
Everyone who is either not brave or not old is either not funny or not kind and vice versa.
If someone is either not generous or not happy then someone is either not calm or not strong and vice versa.
Everyone who is humble or not... | Paul is not old. | contradiction | (![X]:((creative(X)&~patient(X))<=>(~generous(X)|~rich(X))))&
(![X]:((~brave(X)<~>~old(X))<=>(~funny(X)<~>~kind(X))))&
((?[X]:((~generous(X)<~>~happy(X))))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:((humble(X)|~quiet(X))<=>(patient(X)&tall(X))))&
(![X]:((creative(X)|kind(X))=>(wise(X)&strong(X))))&
((?[X]:((creative(X... | ~old(paul) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p9",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 617778292831176313137784
% SZS output start Proof for 617778292831176313137784
1. ! [X0] : ((~patient(X0) & creative(X0)) <=> (~rich(X0) | ~generous(X0))) [input p0]
4. ! [X0] : ((~quiet(X0) | humble(X0)) <=> (tall(X0) & patient(X0))) [input p3]
5. ! [X0] : ((kind(X0) | creative(X0)) => (... | 0 |
If someone is either not creative or not curious then fred is both happy and not happy and vice versa. Everyone who is kind or calm is both not funny and tall. Everyone who is both not brave and old is either not rich or brave and vice versa. If john is either humble or not kind then fred is both tall and curious and v... | Lucy is not happy. | neutral | ((?[X]:((~creative(X)<~>~curious(X))))<=>((happy(fred)&~happy(fred))))&
(![X]:((kind(X)|calm(X))=>(~funny(X)&tall(X))))&
(![X]:((~brave(X)&old(X))<=>(~rich(X)<~>brave(X))))&
(((humble(john)<~>~kind(john)))<=>((tall(fred)&curious(fred))))&
(![X]:((tall(X)<~>~kind(X))<=>(tall(X)|~calm(X))))&
((?[X]:((creative(X)&~old(X))... | ~happy(lucy) | [] | null | 0 |
Everyone who is kind or not strong is funny or not creative and vice versa. If someone is creative or happy then someone is quiet or not creative. Everyone who is quiet is old or not happy and vice versa. Everyone who is either old or not kind is both wise and not old. If someone is not rich then paul is quiet and vice... | Paul is kind. | contradiction | (![X]:((kind(X)|~strong(X))<=>(funny(X)|~creative(X))))&
((?[X]:((creative(X)|happy(X))))=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]:(quiet(X)<=>(old(X)|~happy(X))))&
(![X]:((old(X)<~>~kind(X))=>(wise(X)&~old(X))))&
((?[X]:(~rich(X)))<=>(quiet(paul)))&
(((quiet(mary)<~>curious(mary)))=>((~quiet(mary)&brave(mary))))&
((?... | kind(paul) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1062979044066078018290568
% SZS output start Proof for 1062979044066078018290568
4. ! [X0] : ((old(X0) <~> ~kind(X0)) => (~old(X0) & wise(X0))) [input p3]
5. ? [X0] : ~rich(X0) <=> quiet(paul) [input p4]
7. ? [X0] : (~generous(X0) | ~strong(X0)) <=> ? [X0] : (~humble(X0) & humble(X0)) [in... | 0 |
Everyone who is either not quiet or not humble is either not curious or old and vice versa.
Everyone who is brave is both quiet and humble and vice versa.
If someone is calm or funny then someone is either funny or generous and vice versa.
Everyone who is not wise or creative is wise or not happy and vice versa.
Everyo... | Susan is happy. | entailment | (![X]:((~quiet(X)<~>~humble(X))<=>(~curious(X)<~>old(X))))&
(![X]:(brave(X)<=>(quiet(X)&humble(X))))&
((?[X]:((calm(X)|funny(X))))<=>(?[X]:((funny(X)<~>generous(X)))))&
(![X]:((~wise(X)|creative(X))<=>(wise(X)|~happy(X))))&
(![X]:((~brave(X)|~tall(X))<=>(happy(X)&calm(X))))&
((?[X]:((~strong(X)|humble(X))))<=>((~curiou... | happy(susan) | [
"p1",
"p4",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1572231770095352391654107
% SZS output start Proof for 1572231770095352391654107
2. ! [X0] : (brave(X0) <=> (humble(X0) & quiet(X0))) [input p1]
5. ! [X0] : ((~tall(X0) | ~brave(X0)) <=> (calm(X0) & happy(X0))) [input p4]
6. ? [X0] : (humble(X0) | ~strong(X0)) <=> (~quiet(susan) | ~curiou... | 0 |
If paul is happy or not wise then someone is curious or not old.
If someone is both not brave and not curious then alice is both kind and tall.
If lucy is either rich or not happy then someone is kind or tall and vice versa.
Everyone who is both rich and brave is strong.
Everyone who is funny or quiet is either not cur... | Mary is strong. | neutral | (((happy(paul)|~wise(paul)))=>(?[X]:((curious(X)|~old(X)))))&
((?[X]:((~brave(X)&~curious(X))))=>((kind(alice)&tall(alice))))&
(((rich(lucy)<~>~happy(lucy)))<=>(?[X]:((kind(X)|tall(X)))))&
(![X]:((rich(X)&brave(X))=>strong(X)))&
(![X]:((funny(X)|quiet(X))<=>(~curious(X)<~>calm(X))))&
((?[X]:((brave(X)|quiet(X))))<=>((~... | strong(mary) | [] | null | 0 |
Everyone who is not calm is either not curious or not humble and vice versa.
If mary is not rich then someone is curious or not humble.
Everyone who is both not rich and old is both wise and patient.
Everyone who is not happy or old is both not calm and curious and vice versa.
Everyone who is either humble or not gener... | Mary is not calm. | neutral | (![X]:(~calm(X)<=>(~curious(X)<~>~humble(X))))&
((~rich(mary))=>(?[X]:((curious(X)|~humble(X)))))&
(![X]:((~rich(X)&old(X))=>(wise(X)&patient(X))))&
(![X]:((~happy(X)|old(X))<=>(~calm(X)&curious(X))))&
(![X]:((humble(X)<~>~generous(X))=>old(X)))&
((?[X]:((~calm(X)&~quiet(X))))=>(?[X]:((~wise(X)<~>~funny(X)))))&
((?[X]:... | ~calm(mary) | [] | null | 0 |
If someone is not brave then someone is either not brave or not wise and vice versa. Everyone who is quiet or not calm is either brave or kind and vice versa. Everyone who is not rich or brave is not creative and vice versa. Everyone who is both not patient and not curious is kind or brave. If fred is both wise and not... | John is happy. | neutral | ((?[X]:(~brave(X)))<=>(?[X]:((~brave(X)<~>~wise(X)))))&
(![X]:((quiet(X)|~calm(X))<=>(brave(X)<~>kind(X))))&
(![X]:((~rich(X)|brave(X))<=>~creative(X)))&
(![X]:((~patient(X)&~curious(X))=>(kind(X)|brave(X))))&
(((wise(fred)&~rich(fred)))<=>(?[X]:((quiet(X)&old(X)))))&
(![X]:((patient(X)<~>~happy(X))=>(~creative(X)&~kin... | happy(john) | [] | null | 0 |
If someone is not kind or not creative then lucy is not rich and vice versa.
If fred is happy then someone is both not curious and kind and vice versa.
Everyone who is both not rich and not wise is not rich or humble and vice versa.
If paul is not curious then john is both wise and rich and vice versa.
If someone is no... | Alice is not patient. | contradiction | ((?[X]:((~kind(X)|~creative(X))))<=>(~rich(lucy)))&
((happy(fred))<=>(?[X]:((~curious(X)&kind(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(~rich(X)|humble(X))))&
((~curious(paul))<=>((wise(john)&rich(john))))&
((?[X]:(~patient(X)))<=>(?[X]:(~quiet(X))))&
(![X]:((creative(X)|generous(X))=>(quiet(X)&~calm(X))))&
(![X]:(creative... | ~patient(alice) | [
"p0",
"p2",
"p4",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2759669405631705038665186
% SZS output start Proof for 2759669405631705038665186
1. ? [X0] : (~creative(X0) | ~kind(X0)) <=> ~rich(lucy) [input p0]
3. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> (humble(X0) | ~rich(X0))) [input p2]
5. ? [X0] : ~patient(X0) <=> ? [X0] : ~quiet(X0) [input p4]
6. ... | 0 |
Everyone who is not curious or happy is not wise or not generous and vice versa.
If someone is either rich or not rich then mary is both funny and not quiet.
If someone is both not creative and wise then someone is either creative or patient.
If someone is both old and rich then someone is rich or humble.
If lucy is ei... | Lucy is brave. | entailment | (![X]:((~curious(X)|happy(X))<=>(~wise(X)|~generous(X))))&
((?[X]:((rich(X)<~>~rich(X))))=>((funny(mary)&~quiet(mary))))&
((?[X]:((~creative(X)&wise(X))))=>(?[X]:((creative(X)<~>patient(X)))))&
((?[X]:((old(X)&rich(X))))=>(?[X]:((rich(X)|humble(X)))))&
(((~quiet(lucy)<~>old(lucy)))=>((~brave(lucy)|brave(lucy))))&
(((~p... | brave(lucy) | [
"p5",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5062454434353395357212088
% SZS output start Proof for 5062454434353395357212088
6. (generous(susan) | ~patient(susan)) <=> ? [X0] : (~funny(X0) & ~strong(X0)) [input p5]
8. ! [X0] : ((patient(X0) | curious(X0)) => (~funny(X0) <~> ~happy(X0))) [input p7]
10. ! [X0] : ((~rich(X0) <~> stron... | 0 |
Everyone who is not calm or not strong is not strong or tall and vice versa.
If john is not rich then someone is quiet or old and vice versa.
If lucy is not strong or not wise then mary is either not happy or creative.
Everyone who is not tall is wise and vice versa.
Everyone who is not brave is both not rich and not p... | Paul is not humble. | contradiction | (![X]:((~calm(X)|~strong(X))<=>(~strong(X)|tall(X))))&
((~rich(john))<=>(?[X]:((quiet(X)|old(X)))))&
(((~strong(lucy)|~wise(lucy)))=>((~happy(mary)<~>creative(mary))))&
(![X]:(~tall(X)<=>wise(X)))&
(![X]:(~brave(X)=>(~rich(X)&~patient(X))))&
(((~creative(alice)|tall(alice)))<=>((creative(fred)<~>patient(fred))))&
(((hu... | ~humble(paul) | [
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1294653388421436840522563
% SZS output start Proof for 1294653388421436840522563
16. ! [X0] : ((~calm(X0) | ~humble(X0)) <=> (humble(X0) <~> ~patient(X0))) [input p15]
23. ~calm(paul) & patient(paul) [input p22]
25. ~humble(paul) [input hypothesis]
62. ! [X0] : (((~calm(X0) | ~humble(X0))... | 0 |
Everyone who is not humble is both rich and happy and vice versa.
If someone is rich then someone is both not generous and not patient.
Everyone who is not rich or not patient is both creative and not funny and vice versa.
Everyone who is either not curious or calm is happy and vice versa.
Everyone who is not curious i... | Fred is patient. | entailment | (![X]:(~humble(X)<=>(rich(X)&happy(X))))&
((?[X]:(rich(X)))=>(?[X]:((~generous(X)&~patient(X)))))&
(![X]:((~rich(X)|~patient(X))<=>(creative(X)&~funny(X))))&
(![X]:((~curious(X)<~>calm(X))<=>happy(X)))&
(![X]:(~curious(X)<=>(~happy(X)|~funny(X))))&
(![X]:((~quiet(X)|happy(X))=>(curious(X)<~>~patient(X))))&
(((curious(s... | patient(fred) | [
"p0",
"p3",
"p4",
"p5",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7399262722734439166327068
% SZS output start Proof for 7399262722734439166327068
1. ! [X0] : (~humble(X0) <=> (happy(X0) & rich(X0))) [input p0]
4. ! [X0] : ((~curious(X0) <~> calm(X0)) <=> happy(X0)) [input p3]
5. ! [X0] : (~curious(X0) <=> (~funny(X0) | ~happy(X0))) [input p4]
6. ! [X0]... | 0 |
Everyone who is not old or patient is both not generous and old and vice versa.
Everyone who is not quiet or not wise is both not kind and quiet and vice versa.
Everyone who is either rich or happy is not strong and vice versa.
If mary is wise or creative then fred is both curious and not curious and vice versa.
Everyo... | John is not patient. | contradiction | (![X]:((~old(X)|patient(X))<=>(~generous(X)&old(X))))&
(![X]:((~quiet(X)|~wise(X))<=>(~kind(X)&quiet(X))))&
(![X]:((rich(X)<~>happy(X))<=>~strong(X)))&
(((wise(mary)|creative(mary)))<=>((curious(fred)&~curious(fred))))&
(![X]:((~happy(X)|kind(X))<=>(~creative(X)|~happy(X))))&
((?[X]:((~rich(X)|happy(X))))<=>((~old(john... | ~patient(john) | [
"p0",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 660231303561047022314797
% SZS output start Proof for 660231303561047022314797
1. ! [X0] : ((patient(X0) | ~old(X0)) <=> (old(X0) & ~generous(X0))) [input p0]
6. ? [X0] : (happy(X0) | ~rich(X0)) <=> (patient(john) & ~old(john)) [input p5]
9. ! [X0] : ((brave(X0) & curious(X0)) <=> ~patien... | 0 |
Everyone who is either not generous or wise is not tall or rich.
Everyone who is either not wise or not funny is old and vice versa.
If mary is either not strong or not tall then someone is either not calm or not strong and vice versa.
Everyone who is strong is either not old or humble.
Everyone who is not creative or ... | Mary is humble. | contradiction | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|rich(X))))&
(![X]:((~wise(X)<~>~funny(X))<=>old(X)))&
(((~strong(mary)<~>~tall(mary)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old(X)<~>humble(X))))&
(![X]:((~creative(X)|~humble(X))=>(~old(X)&~tall(X))))&
((?[X]:((~brave(X)|~strong(X))))=>((patient(fred)|tall... | humble(mary) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 818214195496348402529870
% SZS output start Proof for 818214195496348402529870
8. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> (curious(X0) & ~creative(X0))) [input p7]
10. ! [X0] : (funny(X0) <=> (~calm(X0) | ~funny(X0))) [input p9]
13. ! [X0] : ((creative(X0) & ~rich(X0)) <=> (humble(X0) ... | 0 |
If someone is not happy then someone is not humble or not patient and vice versa. Everyone who is not brave or creative is creative and vice versa. Everyone who is quiet or not humble is wise. If mary is either kind or brave then fred is both generous and brave and vice versa. If fred is either not brave or not wise th... | Susan is not quiet. | neutral | ((?[X]:(~happy(X)))<=>(?[X]:((~humble(X)|~patient(X)))))&
(![X]:((~brave(X)|creative(X))<=>creative(X)))&
(![X]:((quiet(X)|~humble(X))=>wise(X)))&
(((kind(mary)<~>brave(mary)))<=>((generous(fred)&brave(fred))))&
(((~brave(fred)<~>~wise(fred)))=>((old(fred)|~quiet(fred))))&
((?[X]:((calm(X)|~curious(X))))<=>(?[X]:((~hum... | ~quiet(susan) | [] | null | 0 |
If lucy is either rich or not quiet then someone is both funny and not old. If someone is both not creative and not rich then someone is brave or tall. If someone is kind or strong then susan is not brave and vice versa. Everyone who is both not strong and quiet is either not tall or not curious. If susan is both not h... | Lucy is curious. | contradiction | (((rich(lucy)<~>~quiet(lucy)))=>(?[X]:((funny(X)&~old(X)))))&
((?[X]:((~creative(X)&~rich(X))))=>(?[X]:((brave(X)|tall(X)))))&
((?[X]:((kind(X)|strong(X))))<=>(~brave(susan)))&
(![X]:((~strong(X)&quiet(X))=>(~tall(X)<~>~curious(X))))&
(((~happy(susan)&funny(susan)))<=>(?[X]:(curious(X))))&
(![X]:((~old(X)|~generous(X))... | curious(lucy) | [
"p2",
"p4",
"p5",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3930464758113387558788050
% SZS output start Proof for 3930464758113387558788050
3. ? [X0] : (strong(X0) | kind(X0)) <=> ~brave(susan) [input p2]
5. (funny(susan) & ~happy(susan)) <=> ? [X0] : curious(X0) [input p4]
6. ! [X0] : ((~generous(X0) | ~old(X0)) => (calm(X0) & ~creative(X0))) [i... | 0 |
Everyone who is either generous or not patient is either not happy or not curious and vice versa. Everyone who is calm is not wise or not calm. If someone is both tall and generous then someone is both not creative and generous and vice versa. If mary is both not kind and not wise then john is not calm. Everyone who is... | Alice is wise. | contradiction | (![X]:((generous(X)<~>~patient(X))<=>(~happy(X)<~>~curious(X))))&
(![X]:(calm(X)=>(~wise(X)|~calm(X))))&
((?[X]:((tall(X)&generous(X))))<=>(?[X]:((~creative(X)&generous(X)))))&
(((~kind(mary)&~wise(mary)))=>(~calm(john)))&
(![X]:((~strong(X)<~>~tall(X))<=>~tall(X)))&
(![X]:((quiet(X)|~generous(X))<=>(patient(X)|~kind(X... | wise(alice) | [
"p1",
"p4",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 757853943476745874225400
% SZS output start Proof for 757853943476745874225400
2. ! [X0] : (calm(X0) => (~calm(X0) | ~wise(X0))) [input p1]
5. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> ~tall(X0)) [input p4]
13. ! [X0] : (kind(X0) <=> (strong(X0) | rich(X0))) [input p12]
21. ~kind(alice) |... | 0 |
Everyone who is quiet is tall or curious and vice versa.
Everyone who is both not patient and not brave is old or not curious and vice versa.
Everyone who is both not brave and not humble is not humble.
Everyone who is either not quiet or old is not creative and vice versa.
Everyone who is both not strong and not quiet... | Paul is not quiet. | neutral | (![X]:(quiet(X)<=>(tall(X)|curious(X))))&
(![X]:((~patient(X)&~brave(X))<=>(old(X)|~curious(X))))&
(![X]:((~brave(X)&~humble(X))=>~humble(X)))&
(![X]:((~quiet(X)<~>old(X))<=>~creative(X)))&
(![X]:((~strong(X)&~quiet(X))=>(~strong(X)&creative(X))))&
((?[X]:((kind(X)<~>~patient(X))))<=>(?[X]:((~old(X)&generous(X)))))&
((... | ~quiet(paul) | [] | null | 0 |
If someone is either not humble or creative then john is curious or not creative.
Everyone who is either quiet or not calm is both tall and not patient.
Everyone who is either not wise or not humble is either strong or not wise and vice versa.
If someone is happy or creative then paul is either not strong or not genero... | Paul is not funny. | contradiction | ((?[X]:((~humble(X)<~>creative(X))))=>((curious(john)|~creative(john))))&
(![X]:((quiet(X)<~>~calm(X))=>(tall(X)&~patient(X))))&
(![X]:((~wise(X)<~>~humble(X))<=>(strong(X)<~>~wise(X))))&
((?[X]:((happy(X)|creative(X))))<=>((~strong(paul)<~>~generous(paul))))&
((?[X]:((~kind(X)|rich(X))))<=>(?[X]:(strong(X))))&
((?[X]:... | ~funny(paul) | [
"p5",
"p12",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8985131604002699410117888
% SZS output start Proof for 8985131604002699410117888
6. ? [X0] : (~calm(X0) <~> ~creative(X0)) <=> (~old(lucy) & ~wise(lucy)) [input p5]
13. ! [X0] : (~creative(X0) => funny(X0)) [input p12]
20. ~calm(paul) [input p19]
22. wise(lucy) & ~creative(lucy) [input p2... | 0 |
Everyone who is both happy and funny is strong or not kind. Everyone who is brave is not generous or not brave and vice versa. Everyone who is not rich is not creative and vice versa. If paul is not funny then john is rich. If paul is calm then john is both kind and not funny and vice versa. Everyone who is either stro... | Paul is creative. | contradiction | (![X]:((happy(X)&funny(X))=>(strong(X)|~kind(X))))&
(![X]:(brave(X)<=>(~generous(X)|~brave(X))))&
(![X]:(~rich(X)<=>~creative(X)))&
((~funny(paul))=>(rich(john)))&
((calm(paul))<=>((kind(john)&~funny(john))))&
(![X]:((strong(X)<~>~kind(X))=>(curious(X)&~calm(X))))&
(![X]:((patient(X)&~happy(X))<=>(~kind(X)&~strong(X)))... | creative(paul) | [
"p1",
"p2",
"p7",
"p8",
"p10",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1698810047755265500765591
% SZS output start Proof for 1698810047755265500765591
2. ! [X0] : (brave(X0) <=> (~brave(X0) | ~generous(X0))) [input p1]
3. ! [X0] : (~rich(X0) <=> ~creative(X0)) [input p2]
8. ! [X0] : ((~tall(X0) | funny(X0)) <=> (generous(X0) <~> tall(X0))) [input p7]
9. ! [... | 0 |
If someone is not patient then someone is not quiet. If lucy is tall or not happy then someone is not rich. Everyone who is old is not old. If john is patient or not humble then mary is both not quiet and not wise and vice versa. Everyone who is kind or old is not calm. Everyone who is both not rich and not calm is wis... | Alice is old. | contradiction | ((?[X]:(~patient(X)))=>(?[X]:(~quiet(X))))&
(((tall(lucy)|~happy(lucy)))=>(?[X]:(~rich(X))))&
(![X]:(old(X)=>~old(X)))&
(((patient(john)|~humble(john)))<=>((~quiet(mary)&~wise(mary))))&
(![X]:((kind(X)|old(X))=>~calm(X)))&
(![X]:((~rich(X)&~calm(X))=>(wise(X)|creative(X))))&
(((~happy(fred)&generous(fred)))=>((~funny(s... | old(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 4108829290975169749871063
% SZS output start Proof for 4108829290975169749871063
3. ! [X0] : (old(X0) => ~old(X0)) [input p2]
25. old(alice) [input hypothesis]
33. ! [X0] : (~old(X0) | ~old(X0)) [ennf transformation 3]
82. ~old(X0) | ~old(X0) [cnf transformation 33]
131. old(alice) [cnf t... | 0 |
If john is either calm or generous then someone is not wise and vice versa.
If someone is either old or not strong then someone is tall and vice versa.
Everyone who is humble or quiet is both not humble and not brave and vice versa.
Everyone who is old is either not tall or not strong.
If fred is not wise or old then s... | Lucy is not patient. | neutral | (((calm(john)<~>generous(john)))<=>(?[X]:(~wise(X))))&
((?[X]:((old(X)<~>~strong(X))))<=>(?[X]:(tall(X))))&
(![X]:((humble(X)|quiet(X))<=>(~humble(X)&~brave(X))))&
(![X]:(old(X)=>(~tall(X)<~>~strong(X))))&
(((~wise(fred)|old(fred)))<=>(?[X]:(~brave(X))))&
(![X]:((wise(X)|~funny(X))<=>(generous(X)|~calm(X))))&
(((~rich(... | ~patient(lucy) | [] | null | 0 |
Everyone who is not rich or patient is either brave or not humble.
Everyone who is either not humble or not rich is either humble or rich.
If someone is generous then lucy is not old or funny and vice versa.
Everyone who is not brave or patient is either not generous or happy and vice versa.
Everyone who is either funn... | Lucy is patient. | contradiction | (![X]:((~rich(X)|patient(X))=>(brave(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>~rich(X))=>(humble(X)<~>rich(X))))&
((?[X]:(generous(X)))<=>((~old(lucy)|funny(lucy))))&
(![X]:((~brave(X)|patient(X))<=>(~generous(X)<~>happy(X))))&
(![X]:((funny(X)<~>~humble(X))=>tall(X)))&
(![X]:((~funny(X)|~tall(X))<=>(~patient(X)|wise(X... | patient(lucy) | [
"p0",
"p3",
"p5",
"p6",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 132278980239954197930128
% SZS output start Proof for 132278980239954197930128
1. ! [X0] : ((patient(X0) | ~rich(X0)) => (brave(X0) <~> ~humble(X0))) [input p0]
4. ! [X0] : ((patient(X0) | ~brave(X0)) <=> (~generous(X0) <~> happy(X0))) [input p3]
6. ! [X0] : ((~tall(X0) | ~funny(X0)) <=> ... | 0 |
Everyone who is either happy or not wise is not funny or not creative and vice versa. Everyone who is not kind is happy or not calm and vice versa. Everyone who is either funny or not patient is either humble or not quiet. Everyone who is not tall is happy or calm and vice versa. Everyone who is not funny is both tall ... | Fred is not rich. | contradiction | (![X]:((happy(X)<~>~wise(X))<=>(~funny(X)|~creative(X))))&
(![X]:(~kind(X)<=>(happy(X)|~calm(X))))&
(![X]:((funny(X)<~>~patient(X))=>(humble(X)<~>~quiet(X))))&
(![X]:(~tall(X)<=>(happy(X)|calm(X))))&
(![X]:(~funny(X)=>(tall(X)&~humble(X))))&
((?[X]:((~calm(X)&~quiet(X))))=>(?[X]:((patient(X)<~>strong(X)))))&
(![X]:((ca... | ~rich(fred) | [
"p1",
"p3",
"p11",
"p12",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4953623555814521556328593
% SZS output start Proof for 4953623555814521556328593
2. ! [X0] : (~kind(X0) <=> (~calm(X0) | happy(X0))) [input p1]
4. ! [X0] : (~tall(X0) <=> (calm(X0) | happy(X0))) [input p3]
12. ? [X0] : ~generous(X0) <=> (tall(fred) & wise(fred)) [input p11]
13. ! [X0] : (... | 0 |
Everyone who is both not strong and not rich is not happy or creative.
Everyone who is not strong is either not calm or not patient.
If someone is either not patient or not happy then alice is not curious.
Everyone who is rich is both rich and brave and vice versa.
If someone is not calm or old then susan is either not... | Lucy is generous. | entailment | (![X]:((~strong(X)&~rich(X))=>(~happy(X)|creative(X))))&
(![X]:(~strong(X)=>(~calm(X)<~>~patient(X))))&
((?[X]:((~patient(X)<~>~happy(X))))=>(~curious(alice)))&
(![X]:(rich(X)<=>(rich(X)&brave(X))))&
((?[X]:((~calm(X)|old(X))))<=>((~creative(susan)<~>~calm(susan))))&
(((~tall(alice)&wise(alice)))=>((~humble(john)<~>~st... | generous(lucy) | [
"p3",
"p8",
"p9",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7665339435780450627526270
% SZS output start Proof for 7665339435780450627526270
4. ! [X0] : (rich(X0) <=> (brave(X0) & rich(X0))) [input p3]
9. ? [X0] : (old(X0) | curious(X0)) <=> (rich(lucy) & ~old(lucy)) [input p8]
10. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> funny(X0)) [input p9]
11. ?... | 0 |
Everyone who is both not strong and not rich is not happy or creative.
Everyone who is tall is not tall.
If john is either humble or not strong then fred is either patient or calm and vice versa.
Everyone who is either not kind or not humble is not kind.
If mary is both rich and funny then someone is not quiet or funny... | Mary is old. | neutral | (![X]:((~strong(X)&~rich(X))=>(~happy(X)|creative(X))))&
(![X]:(tall(X)=>~tall(X)))&
(((humble(john)<~>~strong(john)))<=>((patient(fred)<~>calm(fred))))&
(![X]:((~kind(X)<~>~humble(X))=>~kind(X)))&
(((rich(mary)&funny(mary)))=>(?[X]:((~quiet(X)|funny(X)))))&
((?[X]:(kind(X)))=>(?[X]:((~wise(X)&happy(X)))))&
((?[X]:((wi... | old(mary) | [] | null | 0 |
Everyone who is happy is both not curious and curious.
If paul is both not quiet and happy then someone is either rich or not creative and vice versa.
Everyone who is either not rich or not strong is strong and vice versa.
If susan is both not brave and not quiet then someone is either brave or not strong.
If someone i... | Lucy is quiet. | neutral | (![X]:(happy(X)=>(~curious(X)&curious(X))))&
(((~quiet(paul)&happy(paul)))<=>(?[X]:((rich(X)<~>~creative(X)))))&
(![X]:((~rich(X)<~>~strong(X))<=>strong(X)))&
(((~brave(susan)&~quiet(susan)))=>(?[X]:((brave(X)<~>~strong(X)))))&
((?[X]:(~humble(X)))=>(?[X]:((funny(X)&~brave(X)))))&
(![X]:((~tall(X)&generous(X))=>(strong... | quiet(lucy) | [] | null | 0 |
Everyone who is calm or old is happy and vice versa.
Everyone who is humble is both humble and kind and vice versa.
If someone is both not calm and not quiet then someone is both creative and not happy and vice versa.
Everyone who is not creative or not tall is wise or quiet.
If fred is not generous or not happy then a... | Alice is brave. | neutral | (![X]:((calm(X)|old(X))<=>happy(X)))&
(![X]:(humble(X)<=>(humble(X)&kind(X))))&
((?[X]:((~calm(X)&~quiet(X))))<=>(?[X]:((creative(X)&~happy(X)))))&
(![X]:((~creative(X)|~tall(X))=>(wise(X)|quiet(X))))&
(((~generous(fred)|~happy(fred)))<=>((curious(alice)<~>~curious(alice))))&
(((calm(john)|~rich(john)))=>(?[X]:((~quiet... | brave(alice) | [] | null | 0 |
If john is either tall or curious then someone is not generous and vice versa.
Everyone who is humble or tall is either not creative or curious and vice versa.
If lucy is either tall or generous then someone is quiet.
Everyone who is either generous or not old is not humble or not quiet and vice versa.
Everyone who is ... | John is not curious. | neutral | (((tall(john)<~>curious(john)))<=>(?[X]:(~generous(X))))&
(![X]:((humble(X)|tall(X))<=>(~creative(X)<~>curious(X))))&
(((tall(lucy)<~>generous(lucy)))=>(?[X]:(quiet(X))))&
(![X]:((generous(X)<~>~old(X))<=>(~humble(X)|~quiet(X))))&
(![X]:((~wise(X)&~generous(X))=>(~old(X)|~rich(X))))&
(![X]:(~rich(X)=>generous(X)))&
((?... | ~curious(john) | [] | null | 0 |
If someone is both not calm and happy then lucy is both not quiet and generous and vice versa.
Everyone who is not humble is either not tall or old and vice versa.
Everyone who is either generous or humble is both humble and not calm and vice versa.
Everyone who is brave is both not rich and not tall and vice versa.
Ev... | John is creative. | contradiction | ((?[X]:((~calm(X)&happy(X))))<=>((~quiet(lucy)&generous(lucy))))&
(![X]:(~humble(X)<=>(~tall(X)<~>old(X))))&
(![X]:((generous(X)<~>humble(X))<=>(humble(X)&~calm(X))))&
(![X]:(brave(X)<=>(~rich(X)&~tall(X))))&
(![X]:((patient(X)&old(X))=>(tall(X)|rich(X))))&
(![X]:((~wise(X)|~tall(X))=>(curious(X)|humble(X))))&
((kind(m... | creative(john) | [
"p3",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 898557549694534779743478
% SZS output start Proof for 898557549694534779743478
4. ! [X0] : (brave(X0) <=> (~tall(X0) & ~rich(X0))) [input p3]
12. ! [X0] : (rich(X0) <=> (~tall(X0) | ~creative(X0))) [input p11]
13. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> rich(X0)) [input p12]
15. ! [X0] ... | 0 |
If someone is not curious or not old then mary is calm and vice versa.
Everyone who is wise or tall is happy or not generous.
Everyone who is both humble and creative is calm and vice versa.
Everyone who is either wise or not curious is strong.
If fred is both not kind and happy then someone is either not old or not ki... | Mary is generous. | neutral | ((?[X]:((~curious(X)|~old(X))))<=>(calm(mary)))&
(![X]:((wise(X)|tall(X))=>(happy(X)|~generous(X))))&
(![X]:((humble(X)&creative(X))<=>calm(X)))&
(![X]:((wise(X)<~>~curious(X))=>strong(X)))&
(((~kind(fred)&happy(fred)))<=>(?[X]:((~old(X)<~>~kind(X)))))&
(![X]:(~rich(X)<=>(~tall(X)&~creative(X))))&
(![X]:(~happy(X)<=>(~... | generous(mary) | [] | null | 0 |
Everyone who is not quiet or not strong is rich or funny and vice versa.
If someone is old or happy then paul is wise or brave.
Everyone who is either not old or not tall is generous or old and vice versa.
Everyone who is old is both not curious and quiet.
If someone is either quiet or not happy then someone is wise an... | Fred is not strong. | entailment | (![X]:((~quiet(X)|~strong(X))<=>(rich(X)|funny(X))))&
((?[X]:((old(X)|happy(X))))=>((wise(paul)|brave(paul))))&
(![X]:((~old(X)<~>~tall(X))<=>(generous(X)|old(X))))&
(![X]:(old(X)=>(~curious(X)&quiet(X))))&
((?[X]:((quiet(X)<~>~happy(X))))<=>(?[X]:(wise(X))))&
(![X]:((~humble(X)&~tall(X))=>(~rich(X)<~>tall(X))))&
(![X]... | ~strong(fred) | [
"p0",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6946122517145641538359
% SZS output start Proof for 6946122517145641538359
1. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> (funny(X0) | rich(X0))) [input p0]
7. ! [X0] : ((~quiet(X0) | rich(X0)) => (happy(X0) & calm(X0))) [input p6]
8. ! [X0] : (calm(X0) <=> quiet(X0)) [input p7]
9. ! [X0] : ... | 0 |
Everyone who is not quiet is either not quiet or calm.
Everyone who is not creative or brave is either happy or not happy and vice versa.
If someone is not brave or rich then fred is strong and vice versa.
Everyone who is kind or not quiet is either rich or curious and vice versa.
If fred is either tall or strong then ... | Fred is not patient. | entailment | (![X]:(~quiet(X)=>(~quiet(X)<~>calm(X))))&
(![X]:((~creative(X)|brave(X))<=>(happy(X)<~>~happy(X))))&
((?[X]:((~brave(X)|rich(X))))<=>(strong(fred)))&
(![X]:((kind(X)|~quiet(X))<=>(rich(X)<~>curious(X))))&
(((tall(fred)<~>strong(fred)))=>(?[X]:((rich(X)&humble(X)))))&
(![X]:((patient(X)&~rich(X))<=>(generous(X)|~calm(X... | ~patient(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 962009753365663649195352
% SZS output start Proof for 962009753365663649195352
9. ! [X0] : ((~old(X0) & ~patient(X0)) <=> (~curious(X0) <~> curious(X0))) [input p8]
23. patient(fred) [input hypothesis]
54. ! [X0] : (((~old(X0) & ~patient(X0)) | ((~curious(X0) | ~curious(X0)) & (curious(X0... | 0 |
Everyone who is both not creative and not old is both rich and humble and vice versa. If lucy is rich or curious then someone is not funny and vice versa. If someone is either not brave or not old then paul is not creative or not calm and vice versa. Everyone who is either not creative or tall is not patient and vice v... | Paul is not creative. | contradiction | (![X]:((~creative(X)&~old(X))<=>(rich(X)&humble(X))))&
(((rich(lucy)|curious(lucy)))<=>(?[X]:(~funny(X))))&
((?[X]:((~brave(X)<~>~old(X))))<=>((~creative(paul)|~calm(paul))))&
(![X]:((~creative(X)<~>tall(X))<=>~patient(X)))&
((~funny(john))=>(~generous(john)))&
(![X]:((~old(X)<~>~generous(X))=>(calm(X)<~>wise(X))))&
((... | ~creative(paul) | [
"p3",
"p11",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6259803739544937534404578
% SZS output start Proof for 6259803739544937534404578
4. ! [X0] : ((~creative(X0) <~> tall(X0)) <=> ~patient(X0)) [input p3]
12. ! [X0] : ((funny(X0) & tall(X0)) <=> calm(X0)) [input p11]
16. ! [X0] : ((~patient(X0) <~> tall(X0)) <=> calm(X0)) [input p15]
17. ~f... | 0 |
If mary is both not wise and not curious then someone is either not strong or not generous.
Everyone who is funny or not curious is wise and vice versa.
Everyone who is rich is not wise or not patient.
Everyone who is humble is either not rich or not old.
Everyone who is either not creative or old is humble or funny an... | Susan is curious. | entailment | (((~wise(mary)&~curious(mary)))=>(?[X]:((~strong(X)<~>~generous(X)))))&
(![X]:((funny(X)|~curious(X))<=>wise(X)))&
(![X]:(rich(X)=>(~wise(X)|~patient(X))))&
(![X]:(humble(X)=>(~rich(X)<~>~old(X))))&
(![X]:((~creative(X)<~>old(X))<=>(humble(X)|funny(X))))&
(![X]:((~humble(X)&~curious(X))<=>(tall(X)&~strong(X))))&
((~qui... | curious(susan) | [
"p1",
"p2",
"p4",
"p5",
"p11",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2186585520504782089343102
% SZS output start Proof for 2186585520504782089343102
2. ! [X0] : ((~curious(X0) | funny(X0)) <=> wise(X0)) [input p1]
3. ! [X0] : (rich(X0) => (~patient(X0) | ~wise(X0))) [input p2]
5. ! [X0] : ((~creative(X0) <~> old(X0)) <=> (funny(X0) | humble(X0))) [input p... | 0 |
If someone is both not old and tall then someone is either brave or humble and vice versa. If alice is both funny and not brave then fred is not strong or not rich. Everyone who is either calm or quiet is not generous or quiet and vice versa. Everyone who is not wise or not quiet is both not brave and wise and vice ver... | Susan is humble. | neutral | ((?[X]:((~old(X)&tall(X))))<=>(?[X]:((brave(X)<~>humble(X)))))&
(((funny(alice)&~brave(alice)))=>((~strong(fred)|~rich(fred))))&
(![X]:((calm(X)<~>quiet(X))<=>(~generous(X)|quiet(X))))&
(![X]:((~wise(X)|~quiet(X))<=>(~brave(X)&wise(X))))&
(![X]:((kind(X)|quiet(X))=>(~quiet(X)|tall(X))))&
(![X]:(quiet(X)<=>(~creative(X)... | humble(susan) | [] | null | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If someone is both not humble and creative then someone is either curious or creative.
Everyone who is creative is rich or not old and vice versa.
If someone is not brave or not patient then fred is old and vice versa.
If lucy is not creative then fred ... | Fred is old. | entailment | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
((?[X]:((~humble(X)&creative(X))))=>(?[X]:((curious(X)<~>creative(X)))))&
(![X]:(creative(X)<=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patien... | old(fred) | [
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5894321059148517678984706
% SZS output start Proof for 5894321059148517678984706
4. ? [X0] : (~patient(X0) | ~brave(X0)) <=> old(fred) [input p3]
16. creative(lucy) & ~brave(lucy) [input p15]
19. ~old(fred) [input hypothesis]
37. (? [X0] : (~patient(X0) | ~brave(X0)) | ~old(fred)) & (old(... | 0 |
If someone is creative or not curious then someone is either not patient or calm and vice versa.
Everyone who is not creative or not funny is either not tall or not curious.
Everyone who is humble or tall is both wise and not brave and vice versa.
If lucy is rich then alice is either not kind or quiet and vice versa.
I... | Paul is not calm. | neutral | ((?[X]:((creative(X)|~curious(X))))<=>(?[X]:((~patient(X)<~>calm(X)))))&
(![X]:((~creative(X)|~funny(X))=>(~tall(X)<~>~curious(X))))&
(![X]:((humble(X)|tall(X))<=>(wise(X)&~brave(X))))&
((rich(lucy))<=>((~kind(alice)<~>quiet(alice))))&
((funny(john))<=>(curious(fred)))&
((?[X]:((~wise(X)&generous(X))))=>(?[X]:((generou... | ~calm(paul) | [] | null | 0 |
If someone is either humble or quiet then someone is old and vice versa. Everyone who is not creative is kind or calm. If susan is not old then alice is not happy or kind and vice versa. If alice is happy then alice is creative and vice versa. Everyone who is generous or not creative is either generous or not funny. If... | Alice is creative. | neutral | ((?[X]:((humble(X)<~>quiet(X))))<=>(?[X]:(old(X))))&
(![X]:(~creative(X)=>(kind(X)|calm(X))))&
((~old(susan))<=>((~happy(alice)|kind(alice))))&
((happy(alice))<=>(creative(alice)))&
(![X]:((generous(X)|~creative(X))=>(generous(X)<~>~funny(X))))&
(((~wise(paul)<~>humble(paul)))<=>((~brave(alice)<~>~patient(alice))))&
(!... | creative(alice) | [] | null | 0 |
If someone is both not tall and not humble then john is either strong or not curious and vice versa.
Everyone who is not kind is tall or not curious.
Everyone who is creative or not patient is not kind and vice versa.
If someone is not funny then susan is both not wise and patient and vice versa.
If someone is either c... | John is not curious. | contradiction | ((?[X]:((~tall(X)&~humble(X))))<=>((strong(john)<~>~curious(john))))&
(![X]:(~kind(X)=>(tall(X)|~curious(X))))&
(![X]:((creative(X)|~patient(X))<=>~kind(X)))&
((?[X]:(~funny(X)))<=>((~wise(susan)&patient(susan))))&
((?[X]:((curious(X)<~>tall(X))))<=>(?[X]:((~happy(X)<~>~generous(X)))))&
(![X]:((creative(X)|~humble(X))=... | ~curious(john) | [
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 9164667214576090256213094
% SZS output start Proof for 9164667214576090256213094
6. ! [X0] : ((~humble(X0) | creative(X0)) => curious(X0)) [input p5]
7. (~curious(john) & ~creative(john)) => (~humble(mary) & ~curious(mary)) [input p6]
23. ~curious(john) [input hypothesis]
31. ! [X0] : (cu... | 0 |
Everyone who is either not funny or generous is either quiet or patient.
If lucy is both not rich and generous then lucy is both not quiet and old and vice versa.
If fred is not quiet or not strong then mary is not calm and vice versa.
If mary is either not curious or not quiet then someone is both not kind and curious... | Alice is creative. | neutral | (![X]:((~funny(X)<~>generous(X))=>(quiet(X)<~>patient(X))))&
(((~rich(lucy)&generous(lucy)))<=>((~quiet(lucy)&old(lucy))))&
(((~quiet(fred)|~strong(fred)))<=>(~calm(mary)))&
(((~curious(mary)<~>~quiet(mary)))<=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((old(X)<~>brave(X))<=>~tall(X)))&
((?[X]:(old(X)))<=>((~happy(alice)&... | creative(alice) | [] | null | 0 |
If someone is curious or not strong then someone is either calm or kind and vice versa. Everyone who is not humble is both not brave and not wise and vice versa. Everyone who is tall is both not wise and quiet and vice versa. If paul is either humble or strong then someone is kind or not funny and vice versa. Everyone ... | Mary is not creative. | contradiction | ((?[X]:((curious(X)|~strong(X))))<=>(?[X]:((calm(X)<~>kind(X)))))&
(![X]:(~humble(X)<=>(~brave(X)&~wise(X))))&
(![X]:(tall(X)<=>(~wise(X)&quiet(X))))&
(((humble(paul)<~>strong(paul)))<=>(?[X]:((kind(X)|~funny(X)))))&
(![X]:((~humble(X)&brave(X))=>(~generous(X)<~>~rich(X))))&
(![X]:((~brave(X)<~>~strong(X))=>(tall(X)|ca... | ~creative(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7956329506056860417269810
% SZS output start Proof for 7956329506056860417269810
20. creative(mary) [input p19]
24. ~creative(mary) [input hypothesis]
140. creative(mary) [cnf transformation 20]
145. ~creative(mary) [cnf transformation 24]
287. $false [subsumption resolution 145,140]
% SZ... | 0 |
Everyone who is not patient or not curious is either not generous or strong and vice versa. If alice is both patient and not happy then someone is either kind or happy. If lucy is not generous then someone is either tall or brave. If paul is not strong then someone is not tall or not calm and vice versa. If alice is bo... | Mary is happy. | entailment | (![X]:((~patient(X)|~curious(X))<=>(~generous(X)<~>strong(X))))&
(((patient(alice)&~happy(alice)))=>(?[X]:((kind(X)<~>happy(X)))))&
((~generous(lucy))=>(?[X]:((tall(X)<~>brave(X)))))&
((~strong(paul))<=>(?[X]:((~tall(X)|~calm(X)))))&
(((calm(alice)&brave(alice)))=>(happy(mary)))&
(![X]:((quiet(X)<~>~wise(X))<=>(~funny(... | happy(mary) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7881919287215349429404085
% SZS output start Proof for 7881919287215349429404085
21. ~quiet(mary) & happy(mary) [input p20]
23. ~happy(mary) [input hypothesis]
127. happy(mary) [cnf transformation 21]
131. ~happy(mary) [cnf transformation 23]
199. 15 <=> happy(mary) [avatar definition]
25... | 0 |
Everyone who is kind or not wise is both generous and not funny and vice versa.
Everyone who is both quiet and not quiet is not brave or not old.
Everyone who is both humble and not kind is creative or wise.
If someone is not happy then mary is not kind or calm.
Everyone who is both not strong and not calm is both not ... | Fred is not rich. | entailment | (![X]:((kind(X)|~wise(X))<=>(generous(X)&~funny(X))))&
(![X]:((quiet(X)&~quiet(X))=>(~brave(X)|~old(X))))&
(![X]:((humble(X)&~kind(X))=>(creative(X)|wise(X))))&
((?[X]:(~happy(X)))=>((~kind(mary)|calm(mary))))&
(![X]:((~strong(X)&~calm(X))<=>(~wise(X)&~brave(X))))&
((?[X]:(funny(X)))=>(?[X]:((~humble(X)<~>curious(X))))... | ~rich(fred) | [
"p7",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1250491490348524417519698
% SZS output start Proof for 1250491490348524417519698
8. ! [X0] : (~patient(X0) => (~rich(X0) | wise(X0))) [input p7]
12. ! [X0] : ((rich(X0) & happy(X0)) => creative(X0)) [input p11]
13. ! [X0] : ((~strong(X0) & happy(X0)) <=> (~patient(X0) <~> ~happy(X0))) [in... | 0 |
Everyone who is both patient and humble is tall or brave. Everyone who is wise or not curious is either curious or wise and vice versa. If john is patient then someone is both not happy and generous. Everyone who is old is either not wise or not tall and vice versa. If john is both wise and generous then someone is not... | Alice is generous. | entailment | (![X]:((patient(X)&humble(X))=>(tall(X)|brave(X))))&
(![X]:((wise(X)|~curious(X))<=>(curious(X)<~>wise(X))))&
((patient(john))=>(?[X]:((~happy(X)&generous(X)))))&
(![X]:(old(X)<=>(~wise(X)<~>~tall(X))))&
(((wise(john)&generous(john)))<=>(?[X]:(~rich(X))))&
((?[X]:((~brave(X)|~strong(X))))<=>(?[X]:((~happy(X)<~>~funny(X... | generous(alice) | [
"p1",
"p3",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3369852844509976727502064
% SZS output start Proof for 3369852844509976727502064
2. ! [X0] : ((~curious(X0) | wise(X0)) <=> (curious(X0) <~> wise(X0))) [input p1]
4. ! [X0] : (old(X0) <=> (~wise(X0) <~> ~tall(X0))) [input p3]
13. (curious(alice) <~> generous(alice)) <=> ? [X0] : (happy(X0... | 0 |
Everyone who is either old or not patient is strong or not generous. If susan is not calm or quiet then someone is rich or not strong. Everyone who is patient or not curious is either kind or not generous and vice versa. Everyone who is tall or not rich is either calm or strong and vice versa. If someone is either rich... | Mary is wise. | neutral | (![X]:((old(X)<~>~patient(X))=>(strong(X)|~generous(X))))&
(((~calm(susan)|quiet(susan)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:((patient(X)|~curious(X))<=>(kind(X)<~>~generous(X))))&
(![X]:((tall(X)|~rich(X))<=>(calm(X)<~>strong(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((generous(X)&~creative(X)))))&
(((generous... | wise(mary) | [] | null | 0 |
Everyone who is kind is old. If someone is humble then lucy is not quiet or not old and vice versa. If someone is not tall then lucy is both wise and not tall. If lucy is either not old or not strong then paul is not happy. If susan is wise then someone is happy or wise. Everyone who is both not old and old is kind or ... | John is not strong. | entailment | (![X]:(kind(X)=>old(X)))&
((?[X]:(humble(X)))<=>((~quiet(lucy)|~old(lucy))))&
((?[X]:(~tall(X)))=>((wise(lucy)&~tall(lucy))))&
(((~old(lucy)<~>~strong(lucy)))=>(~happy(paul)))&
((wise(susan))=>(?[X]:((happy(X)|wise(X)))))&
(![X]:((~old(X)&old(X))<=>(kind(X)|wise(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(patient(X)<~>~... | ~strong(john) | [
"p0",
"p5",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 42279417361053599639260
% SZS output start Proof for 42279417361053599639260
1. ! [X0] : (kind(X0) => old(X0)) [input p0]
6. ! [X0] : ((old(X0) & ~old(X0)) <=> (wise(X0) | kind(X0))) [input p5]
8. ! [X0] : ((calm(X0) <~> generous(X0)) <=> (kind(X0) | ~calm(X0))) [input p7]
9. ? [X0] : (~t... | 0 |
Everyone who is not strong is not curious or generous.
Everyone who is either not funny or old is brave.
If fred is not wise then lucy is either not generous or old and vice versa.
Everyone who is funny is not funny or calm and vice versa.
Everyone who is both not kind and not patient is either not old or wise and vice... | Fred is not happy. | neutral | (![X]:(~strong(X)=>(~curious(X)|generous(X))))&
(![X]:((~funny(X)<~>old(X))=>brave(X)))&
((~wise(fred))<=>((~generous(lucy)<~>old(lucy))))&
(![X]:(funny(X)<=>(~funny(X)|calm(X))))&
(![X]:((~kind(X)&~patient(X))<=>(~old(X)<~>wise(X))))&
(![X]:((strong(X)|~generous(X))<=>~tall(X)))&
(![X]:(~old(X)=>(~wise(X)|happy(X))))&... | ~happy(fred) | [] | null | 0 |
Everyone who is both calm and not old is either quiet or not generous.
If fred is not old then someone is either old or kind.
If mary is happy or not funny then lucy is brave or not generous.
If paul is either not humble or curious then someone is not strong or not generous.
If lucy is either not humble or humble then ... | Lucy is not generous. | neutral | (![X]:((calm(X)&~old(X))=>(quiet(X)<~>~generous(X))))&
((~old(fred))=>(?[X]:((old(X)<~>kind(X)))))&
(((happy(mary)|~funny(mary)))=>((brave(lucy)|~generous(lucy))))&
(((~humble(paul)<~>curious(paul)))=>(?[X]:((~strong(X)|~generous(X)))))&
(((~humble(lucy)<~>humble(lucy)))=>(creative(paul)))&
(((calm(lucy)<~>humble(lucy)... | ~generous(lucy) | [] | null | 0 |
Everyone who is both humble and not happy is not generous or patient.
Everyone who is either creative or patient is tall or patient and vice versa.
If someone is wise then susan is either curious or quiet.
If fred is not patient or not generous then fred is both happy and creative and vice versa.
Everyone who is either... | Fred is not generous. | contradiction | (![X]:((humble(X)&~happy(X))=>(~generous(X)|patient(X))))&
(![X]:((creative(X)<~>patient(X))<=>(tall(X)|patient(X))))&
((?[X]:(wise(X)))=>((curious(susan)<~>quiet(susan))))&
(((~patient(fred)|~generous(fred)))<=>((happy(fred)&creative(fred))))&
(![X]:((~calm(X)<~>~humble(X))<=>(humble(X)<~>happy(X))))&
((?[X]:((~humble... | ~generous(fred) | [
"p1",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 5697751469533620495210763
% SZS output start Proof for 5697751469533620495210763
2. ! [X0] : ((creative(X0) <~> patient(X0)) <=> (patient(X0) | tall(X0))) [input p1]
4. (~generous(fred) | ~patient(fred)) <=> (creative(fred) & happy(fred)) [input p3]
8. ! [X0] : ((~patient(X0) & ~creative(... | 0 |
If john is either kind or not wise then someone is both quiet and happy. If someone is not wise or not brave then someone is not creative or not funny and vice versa. If someone is tall then fred is creative or tall and vice versa. Everyone who is not rich is rich or not creative and vice versa. Everyone who is not pat... | Mary is rich. | contradiction | (((kind(john)<~>~wise(john)))=>(?[X]:((quiet(X)&happy(X)))))&
((?[X]:((~wise(X)|~brave(X))))<=>(?[X]:((~creative(X)|~funny(X)))))&
((?[X]:(tall(X)))<=>((creative(fred)|tall(fred))))&
(![X]:(~rich(X)<=>(rich(X)|~creative(X))))&
(![X]:(~patient(X)<=>old(X)))&
(![X]:((~strong(X)&~quiet(X))=>(~happy(X)|creative(X))))&
(![X... | rich(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 5629615091976878897696731
% SZS output start Proof for 5629615091976878897696731
4. ! [X0] : (~rich(X0) <=> (~creative(X0) | rich(X0))) [input p3]
23. rich(mary) [input hypothesis]
50. ! [X0] : ((~rich(X0) | (creative(X0) & ~rich(X0))) & ((~creative(X0) | rich(X0)) | rich(X0))) [nnf trans... | 0 |
If someone is either not tall or not happy then someone is not funny and vice versa. If someone is happy or not curious then john is either not calm or brave and vice versa. If someone is not creative or humble then susan is not old. Everyone who is either not patient or strong is patient and vice versa. If john is wis... | Fred is not happy. | contradiction | ((?[X]:((~tall(X)<~>~happy(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((happy(X)|~curious(X))))<=>((~calm(john)<~>brave(john))))&
((?[X]:((~creative(X)|humble(X))))=>(~old(susan)))&
(![X]:((~patient(X)<~>strong(X))<=>patient(X)))&
((wise(john))<=>(?[X]:((old(X)|funny(X)))))&
((?[X]:((old(X)&~happy(X))))=>(?[X]:((~funny(X)<~>~... | ~happy(fred) | [
"p3",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6897436002797846129217677
% SZS output start Proof for 6897436002797846129217677
4. ! [X0] : ((~patient(X0) <~> strong(X0)) <=> patient(X0)) [input p3]
10. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> ~happy(X0)) [input p9]
19. ~generous(fred) & ~wise(fred) [input p18]
25. ~happy(fred) [input... | 0 |
Everyone who is not humble is either strong or not generous and vice versa. Everyone who is funny is not kind or not calm. If paul is either patient or not curious then someone is creative or strong. If someone is both patient and not strong then someone is quiet and vice versa. If lucy is not strong then fred is both ... | Lucy is not calm. | neutral | (![X]:(~humble(X)<=>(strong(X)<~>~generous(X))))&
(![X]:(funny(X)=>(~kind(X)|~calm(X))))&
(((patient(paul)<~>~curious(paul)))=>(?[X]:((creative(X)|strong(X)))))&
((?[X]:((patient(X)&~strong(X))))<=>(?[X]:(quiet(X))))&
((~strong(lucy))=>((humble(fred)&~funny(fred))))&
(((rich(lucy)<~>~patient(lucy)))<=>(?[X]:(kind(X))))... | ~calm(lucy) | [] | null | 0 |
If paul is both strong and quiet then susan is not kind or not generous and vice versa. If someone is not old or quiet then someone is both old and not calm and vice versa. If lucy is not rich or funny then lucy is not calm and vice versa. If someone is tall or brave then someone is old and vice versa. If paul is eithe... | Susan is not tall. | contradiction | (((strong(paul)&quiet(paul)))<=>((~kind(susan)|~generous(susan))))&
((?[X]:((~old(X)|quiet(X))))<=>(?[X]:((old(X)&~calm(X)))))&
(((~rich(lucy)|funny(lucy)))<=>(~calm(lucy)))&
((?[X]:((tall(X)|brave(X))))<=>(?[X]:(old(X))))&
(((~old(paul)<~>patient(paul)))=>(?[X]:((~curious(X)<~>kind(X)))))&
(![X]:((~patient(X)&generous... | ~tall(susan) | [
"p0",
"p1",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7456773483890491622879800
% SZS output start Proof for 7456773483890491622879800
1. (quiet(paul) & strong(paul)) <=> (~generous(susan) | ~kind(susan)) [input p0]
2. ? [X0] : (quiet(X0) | ~old(X0)) <=> ? [X0] : (~calm(X0) & old(X0)) [input p1]
7. ? [X0] : (~wise(X0) | ~calm(X0)) <=> ? [X0]... | 0 |
If fred is both not rich and creative then john is either curious or not happy and vice versa. Everyone who is not curious is both not rich and kind and vice versa. If someone is not calm then someone is not patient or not tall and vice versa. If someone is both not old and kind then mary is not creative or not happy. ... | Lucy is creative. | contradiction | (((~rich(fred)&creative(fred)))<=>((curious(john)<~>~happy(john))))&
(![X]:(~curious(X)<=>(~rich(X)&kind(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((~patient(X)|~tall(X)))))&
((?[X]:((~old(X)&kind(X))))=>((~creative(mary)|~happy(mary))))&
(![X]:((funny(X)&old(X))<=>~strong(X)))&
(![X]:(kind(X)=>(strong(X)<~>~quiet(X))))&
(((ca... | creative(lucy) | [
"p4",
"p8",
"p9",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1258249113537027979560165
% SZS output start Proof for 1258249113537027979560165
5. ! [X0] : ((old(X0) & funny(X0)) <=> ~strong(X0)) [input p4]
9. ! [X0] : ((~kind(X0) | funny(X0)) => (strong(X0) <~> humble(X0))) [input p8]
10. ~creative(lucy) <=> ? [X0] : (~brave(X0) | ~humble(X0)) [inpu... | 0 |
Everyone who is both kind and not brave is both not kind and kind and vice versa.
If someone is either calm or tall then someone is funny and vice versa.
Everyone who is not calm or quiet is both not wise and not generous.
If susan is not calm then someone is both not humble and not rich.
Everyone who is both not patie... | Mary is creative. | neutral | (![X]:((kind(X)&~brave(X))<=>(~kind(X)&kind(X))))&
((?[X]:((calm(X)<~>tall(X))))<=>(?[X]:(funny(X))))&
(![X]:((~calm(X)|quiet(X))=>(~wise(X)&~generous(X))))&
((~calm(susan))=>(?[X]:((~humble(X)&~rich(X)))))&
(![X]:((~patient(X)&~humble(X))=>(~old(X)|curious(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)))... | creative(mary) | [] | null | 0 |
If someone is either not kind or humble then john is curious.
Everyone who is not creative is either not calm or old.
Everyone who is generous is both happy and not kind and vice versa.
If someone is creative or not calm then someone is either not rich or not strong.
Everyone who is both not kind and tall is both not f... | Paul is patient. | contradiction | ((?[X]:((~kind(X)<~>humble(X))))=>(curious(john)))&
(![X]:(~creative(X)=>(~calm(X)<~>old(X))))&
(![X]:(generous(X)<=>(happy(X)&~kind(X))))&
((?[X]:((creative(X)|~calm(X))))=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:((~kind(X)&tall(X))=>(~funny(X)&~kind(X))))&
((~strong(john))=>((~patient(fred)&curious(fred))))&
(![X]:(... | patient(paul) | [
"p1",
"p6",
"p8",
"p9",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7280923264583674261292600
% SZS output start Proof for 7280923264583674261292600
2. ! [X0] : (~creative(X0) => (~calm(X0) <~> old(X0))) [input p1]
7. ! [X0] : ((~old(X0) <~> ~calm(X0)) <=> (creative(X0) <~> ~humble(X0))) [input p6]
9. ! [X0] : ((~rich(X0) | humble(X0)) <=> ~patient(X0)) [... | 0 |
Everyone who is both patient and not old is not tall or not patient.
If someone is both wise and brave then mary is either happy or generous.
Everyone who is either kind or not kind is happy.
If someone is tall then someone is both tall and not patient and vice versa.
If someone is both not rich and not wise then john ... | Alice is not curious. | contradiction | (![X]:((patient(X)&~old(X))=>(~tall(X)|~patient(X))))&
((?[X]:((wise(X)&brave(X))))=>((happy(mary)<~>generous(mary))))&
(![X]:((kind(X)<~>~kind(X))=>happy(X)))&
((?[X]:(tall(X)))<=>(?[X]:((tall(X)&~patient(X)))))&
((?[X]:((~rich(X)&~wise(X))))=>((patient(john)&strong(john))))&
((?[X]:((quiet(X)&~calm(X))))<=>(?[X]:((br... | ~curious(alice) | [
"p2",
"p6",
"p8",
"p9",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2069933649845262839423027
% SZS output start Proof for 2069933649845262839423027
3. ! [X0] : ((kind(X0) <~> ~kind(X0)) => happy(X0)) [input p2]
7. ! [X0] : ((quiet(X0) | happy(X0)) => (generous(X0) | curious(X0))) [input p6]
9. ! [X0] : ((patient(X0) <~> quiet(X0)) <=> (wise(X0) | happy(X... | 0 |
If mary is not calm then lucy is either calm or not funny and vice versa. If susan is not kind or not patient then someone is creative or not quiet. If someone is not calm then fred is either not curious or quiet and vice versa. If john is humble then someone is both happy and brave and vice versa. Everyone who is both... | John is quiet. | entailment | ((~calm(mary))<=>((calm(lucy)<~>~funny(lucy))))&
(((~kind(susan)|~patient(susan)))=>(?[X]:((creative(X)|~quiet(X)))))&
((?[X]:(~calm(X)))<=>((~curious(fred)<~>quiet(fred))))&
((humble(john))<=>(?[X]:((happy(X)&brave(X)))))&
(![X]:((~humble(X)&~funny(X))=>(~humble(X)<~>tall(X))))&
(![X]:(~patient(X)<=>(patient(X)<~>~hum... | quiet(john) | [
"p7",
"p8",
"p12",
"p14",
"p17",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1052567245832210744864023
% SZS output start Proof for 1052567245832210744864023
8. ! [X0] : ((~funny(X0) <~> wise(X0)) <=> (~old(X0) & creative(X0))) [input p7]
9. ! [X0] : (rich(X0) => (~tall(X0) & ~brave(X0))) [input p8]
13. ! [X0] : ((tall(X0) | curious(X0)) => (~generous(X0) & rich(X... | 0 |
If someone is either not curious or brave then someone is both not creative and wise and vice versa.
Everyone who is either not humble or not old is funny or not funny and vice versa.
Everyone who is either not brave or humble is not happy or not quiet.
If fred is both patient and creative then paul is either old or br... | Lucy is not funny. | neutral | ((?[X]:((~curious(X)<~>brave(X))))<=>(?[X]:((~creative(X)&wise(X)))))&
(![X]:((~humble(X)<~>~old(X))<=>(funny(X)|~funny(X))))&
(![X]:((~brave(X)<~>humble(X))=>(~happy(X)|~quiet(X))))&
(((patient(fred)&creative(fred)))=>((old(paul)<~>brave(paul))))&
(![X]:(generous(X)<=>~quiet(X)))&
(![X]:((~wise(X)|generous(X))<=>~old(... | ~funny(lucy) | [] | null | 0 |
Everyone who is brave or not generous is not tall or not generous and vice versa.
Everyone who is quiet or not funny is not tall and vice versa.
If someone is both calm and brave then mary is strong or quiet and vice versa.
If fred is brave then someone is not generous or calm.
Everyone who is not humble is either kind... | Fred is brave. | neutral | (![X]:((brave(X)|~generous(X))<=>(~tall(X)|~generous(X))))&
(![X]:((quiet(X)|~funny(X))<=>~tall(X)))&
((?[X]:((calm(X)&brave(X))))<=>((strong(mary)|quiet(mary))))&
((brave(fred))=>(?[X]:((~generous(X)|calm(X)))))&
(![X]:(~humble(X)<=>(kind(X)<~>quiet(X))))&
(![X]:(~funny(X)<=>(kind(X)&~old(X))))&
(![X]:((~quiet(X)&gene... | brave(fred) | [] | null | 0 |
Everyone who is curious or funny is not tall and vice versa. If fred is either not generous or kind then susan is either not patient or calm. If someone is either not wise or not quiet then someone is either not old or old and vice versa. Everyone who is either not calm or not rich is not rich. If alice is not kind the... | Susan is not patient. | neutral | (![X]:((curious(X)|funny(X))<=>~tall(X)))&
(((~generous(fred)<~>kind(fred)))=>((~patient(susan)<~>calm(susan))))&
((?[X]:((~wise(X)<~>~quiet(X))))<=>(?[X]:((~old(X)<~>old(X)))))&
(![X]:((~calm(X)<~>~rich(X))=>~rich(X)))&
((~kind(alice))<=>((~happy(susan)|~old(susan))))&
(((funny(paul)|~curious(paul)))<=>((~tall(mary)<~... | ~patient(susan) | [] | null | 0 |
Everyone who is curious or not generous is rich or not curious and vice versa.
If john is either rich or calm then alice is either patient or not calm.
If someone is either brave or not calm then lucy is either happy or not patient.
Everyone who is both quiet and rich is not tall or strong.
Everyone who is both not cur... | Mary is creative. | contradiction | (![X]:((curious(X)|~generous(X))<=>(rich(X)|~curious(X))))&
(((rich(john)<~>calm(john)))=>((patient(alice)<~>~calm(alice))))&
((?[X]:((brave(X)<~>~calm(X))))=>((happy(lucy)<~>~patient(lucy))))&
(![X]:((quiet(X)&rich(X))=>(~tall(X)|strong(X))))&
(![X]:((~curious(X)&brave(X))=>curious(X)))&
(![X]:((tall(X)&happy(X))<=>(~... | creative(mary) | [
"p0",
"p4",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4005682598829685464367309
% SZS output start Proof for 4005682598829685464367309
1. ! [X0] : ((~generous(X0) | curious(X0)) <=> (~curious(X0) | rich(X0))) [input p0]
5. ! [X0] : ((brave(X0) & ~curious(X0)) => curious(X0)) [input p4]
7. ! [X0] : ((~generous(X0) <~> ~creative(X0)) => brave(... | 0 |
If someone is both not curious and tall then someone is not calm or not creative.
Everyone who is rich is both wise and curious.
If mary is either kind or patient then alice is both not quiet and not strong and vice versa.
Everyone who is wise is either not calm or patient.
Everyone who is either happy or brave is both... | Susan is quiet. | contradiction | ((?[X]:((~curious(X)&tall(X))))=>(?[X]:((~calm(X)|~creative(X)))))&
(![X]:(rich(X)=>(wise(X)&curious(X))))&
(((kind(mary)<~>patient(mary)))<=>((~quiet(alice)&~strong(alice))))&
(![X]:(wise(X)=>(~calm(X)<~>patient(X))))&
(![X]:((happy(X)<~>brave(X))<=>(~humble(X)&funny(X))))&
((?[X]:(~creative(X)))<=>((old(mary)&~creati... | quiet(susan) | [
"p1",
"p4",
"p6",
"p7",
"p8",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 546840728877029541361447
% SZS output start Proof for 546840728877029541361447
2. ! [X0] : (rich(X0) => (curious(X0) & wise(X0))) [input p1]
5. ! [X0] : ((happy(X0) <~> brave(X0)) <=> (funny(X0) & ~humble(X0))) [input p4]
7. ? [X0] : ~calm(X0) <=> ? [X0] : generous(X0) [input p6]
8. ! [X0... | 0 |
If alice is generous or not patient then someone is not strong or happy and vice versa.
If john is both not wise and tall then someone is not kind or patient and vice versa.
Everyone who is brave is not wise.
Everyone who is brave is both not generous and not happy.
If someone is not patient then someone is humble or c... | John is not tall. | contradiction | (((generous(alice)|~patient(alice)))<=>(?[X]:((~strong(X)|happy(X)))))&
(((~wise(john)&tall(john)))<=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:(brave(X)=>~wise(X)))&
(![X]:(brave(X)=>(~generous(X)&~happy(X))))&
((?[X]:(~patient(X)))=>(?[X]:((humble(X)|curious(X)))))&
(![X]:(~quiet(X)=>tall(X)))&
(((~strong(paul)<~>quiet(... | ~tall(john) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 9197586509356837344238468
% SZS output start Proof for 9197586509356837344238468
2. (tall(john) & ~wise(john)) <=> ? [X0] : (patient(X0) | ~kind(X0)) [input p1]
22. ? [X0] : patient(X0) [input p21]
25. ~tall(john) [input hypothesis]
47. ((tall(john) & ~wise(john)) | ! [X0] : (~patient(X0)... | 0 |
Everyone who is creative or old is not wise and vice versa. If lucy is not generous then fred is generous or tall. Everyone who is either creative or old is either calm or old and vice versa. Everyone who is not kind or not brave is tall and vice versa. Everyone who is either not strong or not rich is both not humble a... | Lucy is curious. | neutral | (![X]:((creative(X)|old(X))<=>~wise(X)))&
((~generous(lucy))=>((generous(fred)|tall(fred))))&
(![X]:((creative(X)<~>old(X))<=>(calm(X)<~>old(X))))&
(![X]:((~kind(X)|~brave(X))<=>tall(X)))&
(![X]:((~strong(X)<~>~rich(X))=>(~humble(X)&creative(X))))&
(![X]:((strong(X)&~wise(X))=>(generous(X)|calm(X))))&
(((rich(susan)<~>... | curious(lucy) | [] | null | 0 |
If lucy is both not calm and brave then someone is both not brave and rich.
Everyone who is both happy and patient is not funny and vice versa.
Everyone who is either not humble or not patient is not creative.
If someone is both generous and not brave then someone is either humble or not generous.
If mary is generous t... | Paul is not funny. | contradiction | (((~calm(lucy)&brave(lucy)))=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((happy(X)&patient(X))<=>~funny(X)))&
(![X]:((~humble(X)<~>~patient(X))=>~creative(X)))&
((?[X]:((generous(X)&~brave(X))))=>(?[X]:((humble(X)<~>~generous(X)))))&
((generous(mary))=>(?[X]:(brave(X))))&
(![X]:(~wise(X)<=>(patient(X)|wise(X))))&
(((tall(jo... | ~funny(paul) | [
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 352910608691226189801548
% SZS output start Proof for 352910608691226189801548
6. ! [X0] : (~wise(X0) <=> (wise(X0) | patient(X0))) [input p5]
14. ! [X0] : ((~wise(X0) | patient(X0)) <=> funny(X0)) [input p13]
24. ~funny(paul) [input hypothesis]
48. ! [X0] : ((~wise(X0) | (~wise(X0) & ~pa... | 0 |
Everyone who is both not kind and not tall is both generous and not happy. Everyone who is curious is humble and vice versa. Everyone who is happy is not curious and vice versa. If alice is both curious and not wise then lucy is either not old or curious and vice versa. If john is not calm or not humble then alice is b... | John is calm. | entailment | (![X]:((~kind(X)&~tall(X))=>(generous(X)&~happy(X))))&
(![X]:(curious(X)<=>humble(X)))&
(![X]:(happy(X)<=>~curious(X)))&
(((curious(alice)&~wise(alice)))<=>((~old(lucy)<~>curious(lucy))))&
(((~calm(john)|~humble(john)))<=>((~humble(alice)&humble(alice))))&
(![X]:((patient(X)&rich(X))=>(generous(X)&quiet(X))))&
((?[X]:(... | calm(john) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5876693043784566068938844
% SZS output start Proof for 5876693043784566068938844
5. (~humble(john) | ~calm(john)) <=> (humble(alice) & ~humble(alice)) [input p4]
22. ~calm(john) [input hypothesis]
38. ((~humble(john) | ~calm(john)) | (~humble(alice) | humble(alice))) & ((humble(alice) & ~... | 0 |
Everyone who is both creative and generous is rich or kind and vice versa.
Everyone who is both not strong and happy is patient or rich.
If lucy is not curious or not happy then susan is either patient or not kind.
If someone is either not tall or wise then alice is not happy or wise.
If someone is both not tall and cr... | Mary is funny. | neutral | (![X]:((creative(X)&generous(X))<=>(rich(X)|kind(X))))&
(![X]:((~strong(X)&happy(X))=>(patient(X)|rich(X))))&
(((~curious(lucy)|~happy(lucy)))=>((patient(susan)<~>~kind(susan))))&
((?[X]:((~tall(X)<~>wise(X))))=>((~happy(alice)|wise(alice))))&
((?[X]:((~tall(X)&creative(X))))<=>(?[X]:((patient(X)&wise(X)))))&
(![X]:((~... | funny(mary) | [] | null | 0 |
Everyone who is not humble or curious is happy.
Everyone who is both patient and not patient is not old or wise and vice versa.
Everyone who is either not happy or patient is old.
Everyone who is kind is both funny and not funny.
If fred is not patient then someone is either generous or creative and vice versa.
If alic... | John is not kind. | entailment | (![X]:((~humble(X)|curious(X))=>happy(X)))&
(![X]:((patient(X)&~patient(X))<=>(~old(X)|wise(X))))&
(![X]:((~happy(X)<~>patient(X))=>old(X)))&
(![X]:(kind(X)=>(funny(X)&~funny(X))))&
((~patient(fred))<=>(?[X]:((generous(X)<~>creative(X)))))&
((~brave(alice))<=>((~creative(paul)<~>wise(paul))))&
(![X]:((~creative(X)|~ric... | ~kind(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7553182343526390432284274
% SZS output start Proof for 7553182343526390432284274
4. ! [X0] : (kind(X0) => (~funny(X0) & funny(X0))) [input p3]
24. kind(john) [input hypothesis]
28. ! [X0] : ((~funny(X0) & funny(X0)) | ~kind(X0)) [ennf transformation 4]
79. funny(X0) | ~kind(X0) [cnf trans... | 0 |
If someone is not funny then someone is either not funny or patient and vice versa.
Everyone who is not patient or not generous is either calm or not happy.
Everyone who is not tall or not happy is both not calm and old.
If someone is both tall and not strong then john is both wise and not humble and vice versa.
If som... | John is not wise. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~funny(X)<~>patient(X)))))&
(![X]:((~patient(X)|~generous(X))=>(calm(X)<~>~happy(X))))&
(![X]:((~tall(X)|~happy(X))=>(~calm(X)&old(X))))&
((?[X]:((tall(X)&~strong(X))))<=>((wise(john)&~humble(john))))&
((?[X]:(brave(X)))=>((quiet(paul)&rich(paul))))&
(![X]:((happy(X)<~>rich(X))<=>(~calm(X)... | ~wise(john) | [
"p1",
"p2",
"p3",
"p5",
"p6",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4387191137832180140908512
% SZS output start Proof for 4387191137832180140908512
2. ! [X0] : ((~generous(X0) | ~patient(X0)) => (calm(X0) <~> ~happy(X0))) [input p1]
3. ! [X0] : ((~happy(X0) | ~tall(X0)) => (old(X0) & ~calm(X0))) [input p2]
4. ? [X0] : (~strong(X0) & tall(X0)) <=> (~humbl... | 0 |
Everyone who is both generous and not brave is either not rich or not quiet and vice versa.
Everyone who is either quiet or kind is not strong or not creative and vice versa.
If lucy is not patient or not funny then someone is both tall and not quiet.
Everyone who is not calm or not patient is not kind or wise.
Everyon... | Alice is kind. | contradiction | (![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(~strong(X)|~creative(X))))&
(((~patient(lucy)|~funny(lucy)))=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~calm(X)|~patient(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(... | kind(alice) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7859709397438543645140844
% SZS output start Proof for 7859709397438543645140844
4. ! [X0] : ((~patient(X0) | ~calm(X0)) => (wise(X0) | ~kind(X0))) [input p3]
5. ! [X0] : ((humble(X0) | ~wise(X0)) <=> (tall(X0) | ~wise(X0))) [input p4]
6. ! [X0] : (~kind(X0) <=> (old(X0) | happy(X0))) [in... | 0 |
Everyone who is either old or creative is creative and vice versa. Everyone who is strong or curious is both brave and not patient. Everyone who is wise or patient is both patient and not brave and vice versa. If mary is either not creative or not generous then someone is both kind and patient. Everyone who is funny or... | Mary is kind. | neutral | (![X]:((old(X)<~>creative(X))<=>creative(X)))&
(![X]:((strong(X)|curious(X))=>(brave(X)&~patient(X))))&
(![X]:((wise(X)|patient(X))<=>(patient(X)&~brave(X))))&
(((~creative(mary)<~>~generous(mary)))=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((funny(X)|~old(X))=>(~rich(X)&patient(X))))&
(![X]:((funny(X)|~curious(X))<=>(pat... | kind(mary) | [] | null | 0 |
Everyone who is either happy or not wise is not tall.
If someone is patient or not curious then someone is either curious or strong.
Everyone who is humble or wise is either tall or not rich.
Everyone who is either humble or not humble is either not funny or calm.
Everyone who is both old and not tall is not strong or ... | Susan is tall. | neutral | (![X]:((happy(X)<~>~wise(X))=>~tall(X)))&
((?[X]:((patient(X)|~curious(X))))=>(?[X]:((curious(X)<~>strong(X)))))&
(![X]:((humble(X)|wise(X))=>(tall(X)<~>~rich(X))))&
(![X]:((humble(X)<~>~humble(X))=>(~funny(X)<~>calm(X))))&
(![X]:((old(X)&~tall(X))<=>(~strong(X)|calm(X))))&
(![X]:(~calm(X)<=>~funny(X)))&
(((tall(susan)... | tall(susan) | [] | null | 0 |
Everyone who is brave or not patient is not generous. Everyone who is both brave and tall is calm or generous and vice versa. If someone is not quiet then fred is either not quiet or not calm. Everyone who is not curious or calm is not generous or old and vice versa. If lucy is either not old or not brave then someone ... | Mary is not funny. | entailment | (![X]:((brave(X)|~patient(X))=>~generous(X)))&
(![X]:((brave(X)&tall(X))<=>(calm(X)|generous(X))))&
((?[X]:(~quiet(X)))=>((~quiet(fred)<~>~calm(fred))))&
(![X]:((~curious(X)|calm(X))<=>(~generous(X)|old(X))))&
(((~old(lucy)<~>~brave(lucy)))=>(?[X]:((~humble(X)|~strong(X)))))&
(((~rich(susan)<~>happy(susan)))<=>(?[X]:((... | ~funny(mary) | [
"p0",
"p1",
"p3",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 704711134836396388815507
% SZS output start Proof for 704711134836396388815507
1. ! [X0] : ((~patient(X0) | brave(X0)) => ~generous(X0)) [input p0]
2. ! [X0] : ((tall(X0) & brave(X0)) <=> (generous(X0) | calm(X0))) [input p1]
4. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (old(X0) | ~generous... | 0 |
Everyone who is not wise is both not quiet and wise and vice versa.
Everyone who is both not curious and not tall is both tall and not kind and vice versa.
Everyone who is both not rich and not humble is both calm and not generous.
If someone is either kind or not calm then mary is either not brave or not wise.
If some... | Lucy is quiet. | entailment | (![X]:(~wise(X)<=>(~quiet(X)&wise(X))))&
(![X]:((~curious(X)&~tall(X))<=>(tall(X)&~kind(X))))&
(![X]:((~rich(X)&~humble(X))=>(calm(X)&~generous(X))))&
((?[X]:((kind(X)<~>~calm(X))))=>((~brave(mary)<~>~wise(mary))))&
((?[X]:((~creative(X)<~>~generous(X))))<=>(?[X]:((kind(X)|patient(X)))))&
((?[X]:((tall(X)<~>humble(X)))... | quiet(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 498218408385098675391960
% SZS output start Proof for 498218408385098675391960
1. ! [X0] : (~wise(X0) <=> (wise(X0) & ~quiet(X0))) [input p0]
25. ~quiet(lucy) [input hypothesis]
35. ! [X0] : ((~wise(X0) | (~wise(X0) | quiet(X0))) & ((wise(X0) & ~quiet(X0)) | wise(X0))) [nnf transformation... | 0 |
Everyone who is both not quiet and rich is brave or not brave and vice versa.
Everyone who is not wise or patient is old or not humble and vice versa.
Everyone who is either not happy or not generous is old.
If mary is either not happy or not calm then susan is not tall.
Everyone who is curious or not curious is genero... | Mary is old. | contradiction | (![X]:((~quiet(X)&rich(X))<=>(brave(X)|~brave(X))))&
(![X]:((~wise(X)|patient(X))<=>(old(X)|~humble(X))))&
(![X]:((~happy(X)<~>~generous(X))=>old(X)))&
(((~happy(mary)<~>~calm(mary)))=>(~tall(susan)))&
(![X]:((curious(X)|~curious(X))=>generous(X)))&
((?[X]:((strong(X)|humble(X))))<=>(?[X]:((kind(X)&generous(X)))))&
(![... | old(mary) | [
"p4",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2669922905806069895215895
% SZS output start Proof for 2669922905806069895215895
5. ! [X0] : ((~curious(X0) | curious(X0)) => generous(X0)) [input p4]
9. ! [X0] : ((~tall(X0) <~> ~generous(X0)) <=> (creative(X0) | ~creative(X0))) [input p8]
14. ! [X0] : ((~happy(X0) | old(X0)) <=> (genero... | 0 |
If susan is humble then someone is either not kind or not quiet. If susan is not creative then mary is not patient or strong and vice versa. If someone is strong or calm then john is strong or rich. If someone is both wise and tall then someone is not calm. If john is kind or not strong then someone is either not wise ... | Susan is generous. | neutral | ((humble(susan))=>(?[X]:((~kind(X)<~>~quiet(X)))))&
((~creative(susan))<=>((~patient(mary)|strong(mary))))&
((?[X]:((strong(X)|calm(X))))=>((strong(john)|rich(john))))&
((?[X]:((wise(X)&tall(X))))=>(?[X]:(~calm(X))))&
(((kind(john)|~strong(john)))<=>(?[X]:((~wise(X)<~>brave(X)))))&
(![X]:((curious(X)<~>generous(X))=>(~... | generous(susan) | [] | null | 0 |
Everyone who is both not wise and strong is curious or not kind and vice versa.
If someone is not tall or kind then someone is generous or not happy and vice versa.
Everyone who is not funny is creative.
Everyone who is both creative and happy is calm or not humble and vice versa.
Everyone who is either quiet or genero... | Alice is funny. | neutral | (![X]:((~wise(X)&strong(X))<=>(curious(X)|~kind(X))))&
((?[X]:((~tall(X)|kind(X))))<=>(?[X]:((generous(X)|~happy(X)))))&
(![X]:(~funny(X)=>creative(X)))&
(![X]:((creative(X)&happy(X))<=>(calm(X)|~humble(X))))&
(![X]:((quiet(X)<~>generous(X))<=>(creative(X)|~curious(X))))&
((?[X]:(~generous(X)))=>(~generous(mary)))&
(![... | funny(alice) | [] | null | 0 |
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