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 rich or humble is not strong or kind. If someone is not tall or not rich then someone is not kind. If lucy is kind or generous then lucy is funny. If someone is either old or funny then someone is both calm and not calm. If alice is not tall then fred is both not generous and not rich and vice versa. If... | John is brave. | contradiction | (![X]:((rich(X)|humble(X))=>(~strong(X)|kind(X))))&
((?[X]:((~tall(X)|~rich(X))))=>(?[X]:(~kind(X))))&
(((kind(lucy)|generous(lucy)))=>(funny(lucy)))&
((?[X]:((old(X)<~>funny(X))))=>(?[X]:((calm(X)&~calm(X)))))&
((~tall(alice))<=>((~generous(fred)&~rich(fred))))&
(((~calm(paul)<~>~rich(paul)))<=>((humble(paul)<~>creati... | brave(john) | [
"p3",
"p6",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1560508052784989753593702
% SZS output start Proof for 1560508052784989753593702
4. ? [X0] : (old(X0) <~> funny(X0)) => ? [X0] : (~calm(X0) & calm(X0)) [input p3]
7. ! [X0] : ((~brave(X0) <~> kind(X0)) <=> funny(X0)) [input p6]
18. kind(john) [input p17]
20. ~funny(john) | ~old(john) [inp... | 0 |
Everyone who is not curious or calm is either humble or patient and vice versa. Everyone who is both tall and curious is either calm or humble. Everyone who is strong or not tall is either not rich or generous. If alice is not happy or not funny then someone is calm or not wise. Everyone who is not old or humble is not... | Lucy is not creative. | neutral | (![X]:((~curious(X)|calm(X))<=>(humble(X)<~>patient(X))))&
(![X]:((tall(X)&curious(X))=>(calm(X)<~>humble(X))))&
(![X]:((strong(X)|~tall(X))=>(~rich(X)<~>generous(X))))&
(((~happy(alice)|~funny(alice)))=>(?[X]:((calm(X)|~wise(X)))))&
(![X]:((~old(X)|humble(X))<=>(~calm(X)|patient(X))))&
(((wise(susan)&funny(susan)))<=>... | ~creative(lucy) | [] | null | 0 |
Everyone who is not wise or wise is either not curious or wise and vice versa.
If john is both creative and not happy then alice is either not generous or patient and vice versa.
If someone is not wise or not tall then someone is either curious or calm.
If susan is both happy and rich then someone is not happy.
Everyon... | Lucy is not generous. | entailment | (![X]:((~wise(X)|wise(X))<=>(~curious(X)<~>wise(X))))&
(((creative(john)&~happy(john)))<=>((~generous(alice)<~>patient(alice))))&
((?[X]:((~wise(X)|~tall(X))))=>(?[X]:((curious(X)<~>calm(X)))))&
(((happy(susan)&rich(susan)))=>(?[X]:(~happy(X))))&
(![X]:((generous(X)<~>happy(X))<=>~tall(X)))&
((?[X]:((generous(X)&~gener... | ~generous(lucy) | [
"p0",
"p4",
"p9",
"p10",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7892453002087922191518343
% SZS output start Proof for 7892453002087922191518343
1. ! [X0] : ((wise(X0) | ~wise(X0)) <=> (~curious(X0) <~> wise(X0))) [input p0]
5. ! [X0] : ((generous(X0) <~> happy(X0)) <=> ~tall(X0)) [input p4]
10. ! [X0] : ((~old(X0) | rich(X0)) => (happy(X0) | wise(X0)... | 0 |
If lucy is both funny and not humble then fred is both strong and funny.
If someone is either not tall or calm then someone is both not creative and wise.
Everyone who is generous or quiet is both humble and not patient and vice versa.
Everyone who is strong or not creative is funny or not humble and vice versa.
Everyo... | Fred is generous. | contradiction | (((funny(lucy)&~humble(lucy)))=>((strong(fred)&funny(fred))))&
((?[X]:((~tall(X)<~>calm(X))))=>(?[X]:((~creative(X)&wise(X)))))&
(![X]:((generous(X)|quiet(X))<=>(humble(X)&~patient(X))))&
(![X]:((strong(X)|~creative(X))<=>(funny(X)|~humble(X))))&
(![X]:((~rich(X)|~curious(X))<=>happy(X)))&
(((~generous(fred)&wise(fred)... | generous(fred) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 719325085233276734837846
% SZS output start Proof for 719325085233276734837846
3. ! [X0] : ((quiet(X0) | generous(X0)) <=> (~patient(X0) & humble(X0))) [input p2]
8. ! [X0] : ((humble(X0) | brave(X0)) <=> ~generous(X0)) [input p7]
24. generous(fred) [input hypothesis]
37. ! [X0] : (((quie... | 0 |
Everyone who is wise or not wise is both patient and not generous. Everyone who is not quiet is not tall and vice versa. If lucy is humble then someone is both quiet and not tall and vice versa. Everyone who is both not quiet and strong is both not rich and not generous. Everyone who is creative is either not strong or... | John is not wise. | neutral | (![X]:((wise(X)|~wise(X))=>(patient(X)&~generous(X))))&
(![X]:(~quiet(X)<=>~tall(X)))&
((humble(lucy))<=>(?[X]:((quiet(X)&~tall(X)))))&
(![X]:((~quiet(X)&strong(X))=>(~rich(X)&~generous(X))))&
(![X]:(creative(X)=>(~strong(X)<~>generous(X))))&
(![X]:((~old(X)<~>~quiet(X))=>(creative(X)|~kind(X))))&
(![X]:((kind(X)<~>cur... | ~wise(john) | [] | null | 0 |
If someone is not curious or calm then someone is either not humble or strong and vice versa. If someone is not rich then someone is either kind or not brave. If john is both not creative and not humble then someone is kind or generous. Everyone who is not quiet or patient is both old and not patient. Everyone who is e... | Fred is not tall. | entailment | ((?[X]:((~curious(X)|calm(X))))<=>(?[X]:((~humble(X)<~>strong(X)))))&
((?[X]:(~rich(X)))=>(?[X]:((kind(X)<~>~brave(X)))))&
(((~creative(john)&~humble(john)))=>(?[X]:((kind(X)|generous(X)))))&
(![X]:((~quiet(X)|patient(X))=>(old(X)&~patient(X))))&
(![X]:((~tall(X)<~>~old(X))<=>old(X)))&
((?[X]:((~calm(X)<~>wise(X))))<=>... | ~tall(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 960853705147566094819846
% SZS output start Proof for 960853705147566094819846
5. ! [X0] : ((~tall(X0) <~> ~old(X0)) <=> old(X0)) [input p4]
24. tall(fred) [input hypothesis]
54. ! [X0] : ((((old(X0) | tall(X0)) & (~old(X0) | ~tall(X0))) | ~old(X0)) & (old(X0) | ((~tall(X0) | old(X0)) & (... | 0 |
Everyone who is either patient or kind is either not calm or brave. If mary is either strong or kind then paul is kind or strong and vice versa. If john is not quiet or not generous then someone is both funny and not curious and vice versa. If someone is generous or not humble then someone is creative or not funny. If ... | John is tall. | neutral | (![X]:((patient(X)<~>kind(X))=>(~calm(X)<~>brave(X))))&
(((strong(mary)<~>kind(mary)))<=>((kind(paul)|strong(paul))))&
(((~quiet(john)|~generous(john)))<=>(?[X]:((funny(X)&~curious(X)))))&
((?[X]:((generous(X)|~humble(X))))=>(?[X]:((creative(X)|~funny(X)))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>((~strong(mary)|brave(mary... | tall(john) | [] | null | 0 |
If someone is both not patient and not curious then someone is either not generous or patient. Everyone who is wise or curious is not patient and vice versa. Everyone who is not old or old is either not creative or not old and vice versa. If someone is happy then someone is both tall and not patient. Everyone who is ei... | Lucy is not kind. | entailment | ((?[X]:((~patient(X)&~curious(X))))=>(?[X]:((~generous(X)<~>patient(X)))))&
(![X]:((wise(X)|curious(X))<=>~patient(X)))&
(![X]:((~old(X)|old(X))<=>(~creative(X)<~>~old(X))))&
((?[X]:(happy(X)))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((creative(X)<~>old(X))<=>~quiet(X)))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~brave... | ~kind(lucy) | [
"p2",
"p4",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3072778947478240352720435
% SZS output start Proof for 3072778947478240352720435
3. ! [X0] : ((old(X0) | ~old(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p2]
5. ! [X0] : ((creative(X0) <~> old(X0)) <=> ~quiet(X0)) [input p4]
15. ! [X0] : (~rich(X0) <=> (~kind(X0) & funny(X0))) [input p1... | 0 |
Everyone who is either wise or strong is calm or curious and vice versa. If someone is strong then paul is quiet. Everyone who is both not creative and not happy is not old and vice versa. If someone is rich or old then susan is patient. Everyone who is both not old and curious is funny. Everyone who is funny is either... | Paul is generous. | entailment | (![X]:((wise(X)<~>strong(X))<=>(calm(X)|curious(X))))&
((?[X]:(strong(X)))=>(quiet(paul)))&
(![X]:((~creative(X)&~happy(X))<=>~old(X)))&
((?[X]:((rich(X)|old(X))))=>(patient(susan)))&
(![X]:((~old(X)&curious(X))=>funny(X)))&
(![X]:(funny(X)<=>(~funny(X)<~>funny(X))))&
((wise(susan))<=>(?[X]:((~rich(X)|creative(X)))))&
... | generous(paul) | [
"p1",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 474911250365067111456295
% SZS output start Proof for 474911250365067111456295
2. ? [X0] : strong(X0) => quiet(paul) [input p1]
6. ! [X0] : (funny(X0) <=> (~funny(X0) <~> funny(X0))) [input p5]
9. ! [X0] : ((~old(X0) <~> old(X0)) <=> (strong(X0) <~> generous(X0))) [input p8]
14. ! [X0] : ... | 0 |
Everyone who is humble or quiet is both not calm and funny and vice versa.
Everyone who is strong is either not creative or happy.
If fred is both patient and funny then someone is either tall or strong and vice versa.
If someone is both calm and happy then mary is both wise and generous and vice versa.
If paul is not ... | Mary is not happy. | neutral | (![X]:((humble(X)|quiet(X))<=>(~calm(X)&funny(X))))&
(![X]:(strong(X)=>(~creative(X)<~>happy(X))))&
(((patient(fred)&funny(fred)))<=>(?[X]:((tall(X)<~>strong(X)))))&
((?[X]:((calm(X)&happy(X))))<=>((wise(mary)&generous(mary))))&
(((~calm(paul)|~brave(paul)))<=>(?[X]:((quiet(X)&~wise(X)))))&
(![X]:(~rich(X)<=>tall(X)))&... | ~happy(mary) | [] | null | 0 |
If someone is either not strong or humble then susan is funny or calm and vice versa.
If alice is either generous or not brave then someone is creative.
Everyone who is strong is not wise and vice versa.
If someone is either not curious or curious then susan is not tall or not old and vice versa.
Everyone who is genero... | Alice is humble. | entailment | ((?[X]:((~strong(X)<~>humble(X))))<=>((funny(susan)|calm(susan))))&
(((generous(alice)<~>~brave(alice)))=>(?[X]:(creative(X))))&
(![X]:(strong(X)<=>~wise(X)))&
((?[X]:((~curious(X)<~>curious(X))))<=>((~tall(susan)|~old(susan))))&
(![X]:((generous(X)|happy(X))<=>(creative(X)<~>brave(X))))&
(((humble(alice)&brave(alice))... | humble(alice) | [
"p2",
"p5",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1742320433989362379960023
% SZS output start Proof for 1742320433989362379960023
3. ! [X0] : (strong(X0) <=> ~wise(X0)) [input p2]
6. (brave(alice) & humble(alice)) <=> ? [X0] : (quiet(X0) | ~strong(X0)) [input p5]
18. funny(alice) & wise(alice) [input p17]
25. ~humble(alice) [input hypot... | 0 |
If someone is both not funny and not wise then john is either generous or not calm and vice versa.
Everyone who is both not curious and tall is not calm or not rich and vice versa.
Everyone who is old or not tall is either not strong or not funny.
If fred is both generous and not tall then fred is not happy or humble.
... | Lucy is not wise. | entailment | ((?[X]:((~funny(X)&~wise(X))))<=>((generous(john)<~>~calm(john))))&
(![X]:((~curious(X)&tall(X))<=>(~calm(X)|~rich(X))))&
(![X]:((old(X)|~tall(X))=>(~strong(X)<~>~funny(X))))&
(((generous(fred)&~tall(fred)))=>((~happy(fred)|humble(fred))))&
(![X]:((brave(X)&happy(X))<=>(~curious(X)|~old(X))))&
(((creative(john)|~strong... | ~wise(lucy) | [
"p1",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7022809260894728830203696
% SZS output start Proof for 7022809260894728830203696
2. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (~rich(X0) | ~calm(X0))) [input p1]
9. ! [X0] : (~curious(X0) => (rich(X0) & calm(X0))) [input p8]
10. ! [X0] : ((rich(X0) | brave(X0)) => (~wise(X0) & funny(X0))) [... | 0 |
If someone is kind then someone is not tall. If someone is brave then someone is either not kind or not happy and vice versa. If someone is both rich and generous then alice is calm and vice versa. Everyone who is happy or tall is humble and vice versa. Everyone who is not happy or rich is either funny or rich. Everyon... | John is not generous. | entailment | ((?[X]:(kind(X)))=>(?[X]:(~tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
((?[X]:((rich(X)&generous(X))))<=>(calm(alice)))&
(![X]:((happy(X)|tall(X))<=>humble(X)))&
(![X]:((~happy(X)|rich(X))=>(funny(X)<~>rich(X))))&
(![X]:((patient(X)&old(X))<=>(humble(X)|~humble(X))))&
(![X]:((~quiet(X)|curious(X)... | ~generous(john) | [
"p3",
"p4",
"p5",
"p6",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 165227256114922455271030
% SZS output start Proof for 165227256114922455271030
4. ! [X0] : ((tall(X0) | happy(X0)) <=> humble(X0)) [input p3]
5. ! [X0] : ((rich(X0) | ~happy(X0)) => (funny(X0) <~> rich(X0))) [input p4]
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~humble(X0) | humble(X0))) [... | 0 |
If susan is wise or strong then lucy is either not quiet or rich. Everyone who is not patient is tall or calm and vice versa. If someone is either generous or old then someone is either not old or quiet and vice versa. Everyone who is not strong or happy is not brave and vice versa. If lucy is not tall then fred is not... | John is not quiet. | entailment | (((wise(susan)|strong(susan)))=>((~quiet(lucy)<~>rich(lucy))))&
(![X]:(~patient(X)<=>(tall(X)|calm(X))))&
((?[X]:((generous(X)<~>old(X))))<=>(?[X]:((~old(X)<~>quiet(X)))))&
(![X]:((~strong(X)|happy(X))<=>~brave(X)))&
((~tall(lucy))<=>(~tall(fred)))&
(![X]:((creative(X)<~>humble(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:... | ~quiet(john) | [
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8964387267116791993626075
% SZS output start Proof for 8964387267116791993626075
7. ! [X0] : ((~creative(X0) | quiet(X0)) <=> (~brave(X0) & ~tall(X0))) [input p6]
13. ! [X0] : ((wise(X0) & ~strong(X0)) <=> (quiet(X0) & ~tall(X0))) [input p12]
14. ! [X0] : ((wise(X0) | generous(X0)) <=> st... | 0 |
If someone is not tall or creative then susan is curious or not rich.
If someone is not rich or not humble then someone is not funny or not brave and vice versa.
If paul is curious then john is both not strong and not generous.
If someone is both not creative and not funny then fred is both not generous and wise and vi... | Alice is not humble. | contradiction | ((?[X]:((~tall(X)|creative(X))))=>((curious(susan)|~rich(susan))))&
((?[X]:((~rich(X)|~humble(X))))<=>(?[X]:((~funny(X)|~brave(X)))))&
((curious(paul))=>((~strong(john)&~generous(john))))&
((?[X]:((~creative(X)&~funny(X))))<=>((~generous(fred)&wise(fred))))&
((?[X]:((~generous(X)<~>~rich(X))))=>(quiet(john)))&
(((~rich... | ~humble(alice) | [
"p1",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1284722702299866191493205
% SZS output start Proof for 1284722702299866191493205
2. ? [X0] : (~humble(X0) | ~rich(X0)) <=> ? [X0] : (~brave(X0) | ~funny(X0)) [input p1]
8. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> (~brave(X0) & ~funny(X0))) [input p7]
10. ! [X0] : ((~tall(X0) & wise(X0)) <... | 0 |
If someone is either not old or not humble then lucy is not old or creative.
Everyone who is either not generous or curious is either not happy or not quiet.
Everyone who is old is generous or not generous.
If john is either not tall or not patient then alice is either happy or curious and vice versa.
If fred is both c... | Lucy is not humble. | contradiction | ((?[X]:((~old(X)<~>~humble(X))))=>((~old(lucy)|creative(lucy))))&
(![X]:((~generous(X)<~>curious(X))=>(~happy(X)<~>~quiet(X))))&
(![X]:(old(X)=>(generous(X)|~generous(X))))&
(((~tall(john)<~>~patient(john)))<=>((happy(alice)<~>curious(alice))))&
(((creative(fred)&~happy(fred)))<=>(?[X]:((~funny(X)&wise(X)))))&
(((happy... | ~humble(lucy) | [
"p0",
"p8",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8222168787553274580886678
% SZS output start Proof for 8222168787553274580886678
1. ? [X0] : (~old(X0) <~> ~humble(X0)) => (creative(lucy) | ~old(lucy)) [input p0]
9. ? [X0] : patient(X0) <=> happy(lucy) [input p8]
10. ! [X0] : ((~creative(X0) <~> ~brave(X0)) => (happy(X0) <~> patient(X0)... | 0 |
If someone is either not tall or kind then someone is both curious and not generous and vice versa. Everyone who is generous or not strong is both tall and creative and vice versa. If someone is quiet then someone is happy or patient. Everyone who is either not funny or brave is either funny or not humble. If someone i... | Fred is calm. | entailment | ((?[X]:((~tall(X)<~>kind(X))))<=>(?[X]:((curious(X)&~generous(X)))))&
(![X]:((generous(X)|~strong(X))<=>(tall(X)&creative(X))))&
((?[X]:(quiet(X)))=>(?[X]:((happy(X)|patient(X)))))&
(![X]:((~funny(X)<~>brave(X))=>(funny(X)<~>~humble(X))))&
((?[X]:((~kind(X)|~strong(X))))=>(?[X]:((curious(X)&happy(X)))))&
(((~calm(lucy)... | calm(fred) | [
"p0",
"p4",
"p10",
"p12",
"p16",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7668989346644472422283390
% SZS output start Proof for 7668989346644472422283390
1. ? [X0] : (~tall(X0) <~> kind(X0)) <=> ? [X0] : (~generous(X0) & curious(X0)) [input p0]
5. ? [X0] : (~strong(X0) | ~kind(X0)) => ? [X0] : (happy(X0) & curious(X0)) [input p4]
11. (calm(fred) | ~rich(fred))... | 0 |
If susan is both generous and old then someone is either not humble or quiet and vice versa. Everyone who is not quiet is both not tall and rich and vice versa. Everyone who is not rich or not kind is either not calm or quiet and vice versa. Everyone who is generous is not happy or humble. Everyone who is kind or not s... | Mary is tall. | contradiction | (((generous(susan)&old(susan)))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:(~quiet(X)<=>(~tall(X)&rich(X))))&
(![X]:((~rich(X)|~kind(X))<=>(~calm(X)<~>quiet(X))))&
(![X]:(generous(X)=>(~happy(X)|humble(X))))&
(![X]:((kind(X)|~strong(X))<=>(~patient(X)&humble(X))))&
(![X]:(wise(X)=>(curious(X)|generous(X))))&
(![X]:((ri... | tall(mary) | [
"p0",
"p1",
"p4",
"p9",
"p11",
"p12",
"p16",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5697950215732233038507187
% SZS output start Proof for 5697950215732233038507187
1. (old(susan) & generous(susan)) <=> ? [X0] : (~humble(X0) <~> quiet(X0)) [input p0]
2. ! [X0] : (~quiet(X0) <=> (rich(X0) & ~tall(X0))) [input p1]
5. ! [X0] : ((~strong(X0) | kind(X0)) <=> (humble(X0) & ~pa... | 0 |
If mary is not funny then someone is not rich or not creative.
Everyone who is either not kind or humble is either not creative or kind.
If susan is not tall then alice is both old and tall and vice versa.
Everyone who is either quiet or patient is both quiet and kind and vice versa.
If someone is not creative then luc... | Lucy is not patient. | entailment | ((~funny(mary))=>(?[X]:((~rich(X)|~creative(X)))))&
(![X]:((~kind(X)<~>humble(X))=>(~creative(X)<~>kind(X))))&
((~tall(susan))<=>((old(alice)&tall(alice))))&
(![X]:((quiet(X)<~>patient(X))<=>(quiet(X)&kind(X))))&
((?[X]:(~creative(X)))=>(humble(lucy)))&
(((~calm(mary)&~rich(mary)))=>(strong(susan)))&
(![X]:((~old(X)|~k... | ~patient(lucy) | [
"p3",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1751044185137251738257256
% SZS output start Proof for 1751044185137251738257256
4. ! [X0] : ((quiet(X0) <~> patient(X0)) <=> (kind(X0) & quiet(X0))) [input p3]
7. ! [X0] : ((~kind(X0) | ~old(X0)) <=> (wise(X0) & ~generous(X0))) [input p6]
15. ! [X0] : ((wise(X0) | ~humble(X0)) <=> (~brav... | 0 |
If someone is funny or patient then paul is old or curious. Everyone who is not quiet is either patient or not curious and vice versa. Everyone who is humble is rich or not quiet. Everyone who is strong or not wise is either funny or not happy. If john is not curious or patient then alice is not calm or not funny. If f... | John is not creative. | entailment | ((?[X]:((funny(X)|patient(X))))=>((old(paul)|curious(paul))))&
(![X]:(~quiet(X)<=>(patient(X)<~>~curious(X))))&
(![X]:(humble(X)=>(rich(X)|~quiet(X))))&
(![X]:((strong(X)|~wise(X))=>(funny(X)<~>~happy(X))))&
(((~curious(john)|patient(john)))=>((~calm(alice)|~funny(alice))))&
((~strong(fred))<=>(?[X]:(quiet(X))))&
(((~g... | ~creative(john) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6404264529208024656434659
% SZS output start Proof for 6404264529208024656434659
10. ! [X0] : ((creative(X0) | rich(X0)) => (~curious(X0) & ~creative(X0))) [input p9]
24. creative(john) [input hypothesis]
35. ! [X0] : ((~curious(X0) & ~creative(X0)) | (~creative(X0) & ~rich(X0))) [ennf tr... | 0 |
Everyone who is not funny or rich is both not happy and not curious.
Everyone who is generous is both not happy and funny and vice versa.
If someone is brave then someone is either not calm or funny and vice versa.
If someone is either not wise or quiet then fred is curious or patient and vice versa.
Everyone who is no... | Mary is not humble. | contradiction | (![X]:((~funny(X)|rich(X))=>(~happy(X)&~curious(X))))&
(![X]:(generous(X)<=>(~happy(X)&funny(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~calm(X)<~>funny(X)))))&
((?[X]:((~wise(X)<~>quiet(X))))<=>((curious(fred)|patient(fred))))&
(![X]:(~brave(X)<=>(happy(X)|kind(X))))&
(((~humble(john)&~rich(john)))=>((~humble(lucy)|calm(lucy... | ~humble(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 273542709526562821977617
% SZS output start Proof for 273542709526562821977617
15. (~generous(lucy) & generous(lucy)) <=> ? [X0] : (~patient(X0) | ~humble(X0)) [input p14]
24. ~humble(mary) [input hypothesis]
71. ((~generous(lucy) & generous(lucy)) | ! [X0] : (patient(X0) & humble(X0))) &... | 0 |
If fred is either wise or brave then fred is both kind and brave and vice versa.
Everyone who is both not brave and not strong is not quiet and vice versa.
If someone is creative then lucy is either calm or quiet and vice versa.
Everyone who is not quiet is humble or not curious and vice versa.
If someone is happy or n... | Lucy is wise. | entailment | (((wise(fred)<~>brave(fred)))<=>((kind(fred)&brave(fred))))&
(![X]:((~brave(X)&~strong(X))<=>~quiet(X)))&
((?[X]:(creative(X)))<=>((calm(lucy)<~>quiet(lucy))))&
(![X]:(~quiet(X)<=>(humble(X)|~curious(X))))&
((?[X]:((happy(X)|~happy(X))))=>(creative(mary)))&
((~strong(lucy))<=>((humble(fred)&quiet(fred))))&
((?[X]:((bra... | wise(lucy) | [
"p1",
"p3",
"p5",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2437589831077284120438117
% SZS output start Proof for 2437589831077284120438117
2. ! [X0] : ((~strong(X0) & ~brave(X0)) <=> ~quiet(X0)) [input p1]
4. ! [X0] : (~quiet(X0) <=> (~curious(X0) | humble(X0))) [input p3]
6. ~strong(lucy) <=> (quiet(fred) & humble(fred)) [input p5]
14. ! [X0] :... | 0 |
Everyone who is either not wise or quiet is not funny.
Everyone who is kind is not quiet.
Everyone who is not creative is not quiet or not strong and vice versa.
If someone is either quiet or kind then paul is not curious and vice versa.
Everyone who is both quiet and tall is patient or not strong and vice versa.
If fr... | Fred is not tall. | contradiction | (![X]:((~wise(X)<~>quiet(X))=>~funny(X)))&
(![X]:(kind(X)=>~quiet(X)))&
(![X]:(~creative(X)<=>(~quiet(X)|~strong(X))))&
((?[X]:((quiet(X)<~>kind(X))))<=>(~curious(paul)))&
(![X]:((quiet(X)&tall(X))<=>(patient(X)|~strong(X))))&
(((~happy(fred)|~brave(fred)))<=>(?[X]:(~rich(X))))&
(![X]:((~curious(X)<~>curious(X))<=>~str... | ~tall(fred) | [
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 3654170576820118991338139
% SZS output start Proof for 3654170576820118991338139
5. ! [X0] : ((tall(X0) & quiet(X0)) <=> (~strong(X0) | patient(X0))) [input p4]
7. ! [X0] : ((~curious(X0) <~> curious(X0)) <=> ~strong(X0)) [input p6]
25. ~tall(fred) [input hypothesis]
43. ! [X0] : (((tall(... | 0 |
If someone is creative or not old then lucy is both humble and not rich. Everyone who is not quiet is funny or happy and vice versa. If someone is both not patient and not funny then susan is both wise and curious. If someone is both kind and not happy then someone is tall or not humble and vice versa. If alice is both... | Lucy is rich. | neutral | ((?[X]:((creative(X)|~old(X))))=>((humble(lucy)&~rich(lucy))))&
(![X]:(~quiet(X)<=>(funny(X)|happy(X))))&
((?[X]:((~patient(X)&~funny(X))))=>((wise(susan)&curious(susan))))&
((?[X]:((kind(X)&~happy(X))))<=>(?[X]:((tall(X)|~humble(X)))))&
(((~tall(alice)&wise(alice)))=>(strong(lucy)))&
((creative(susan))<=>(?[X]:((stron... | rich(lucy) | [] | null | 0 |
Everyone who is both not generous and not wise is either not old or tall. If paul is either kind or calm then fred is both curious and not brave. If someone is not funny then fred is not humble or patient and vice versa. Everyone who is not strong is not rich or not patient and vice versa. If someone is not generous or... | Paul is not kind. | contradiction | (![X]:((~generous(X)&~wise(X))=>(~old(X)<~>tall(X))))&
(((kind(paul)<~>calm(paul)))=>((curious(fred)&~brave(fred))))&
((?[X]:(~funny(X)))<=>((~humble(fred)|patient(fred))))&
(![X]:(~strong(X)<=>(~rich(X)|~patient(X))))&
((?[X]:((~generous(X)|humble(X))))=>(?[X]:((~calm(X)|humble(X)))))&
(![X]:((humble(X)&~creative(X))<... | ~kind(paul) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 8196806842878744631500211
% SZS output start Proof for 8196806842878744631500211
8. ! [X0] : (~curious(X0) <=> (curious(X0) <~> kind(X0))) [input p7]
24. ~kind(paul) [input hypothesis]
56. ! [X0] : ((~curious(X0) | ((curious(X0) | ~kind(X0)) & (kind(X0) | ~curious(X0)))) & (((~kind(X0) | ... | 0 |
Everyone who is both humble and not strong is either not humble or not generous and vice versa.
Everyone who is funny is funny or not happy and vice versa.
Everyone who is not calm or brave is both not rich and not humble.
If mary is either not curious or tall then someone is both not patient and not old and vice versa... | Alice is not humble. | neutral | (![X]:((humble(X)&~strong(X))<=>(~humble(X)<~>~generous(X))))&
(![X]:(funny(X)<=>(funny(X)|~happy(X))))&
(![X]:((~calm(X)|brave(X))=>(~rich(X)&~humble(X))))&
(((~curious(mary)<~>tall(mary)))<=>(?[X]:((~patient(X)&~old(X)))))&
((?[X]:(~funny(X)))=>((happy(lucy)<~>funny(lucy))))&
(![X]:((wise(X)|~happy(X))=>(old(X)<~>bra... | ~humble(alice) | [] | null | 0 |
Everyone who is either patient or calm is not creative or not rich. Everyone who is either not kind or not old is strong or kind and vice versa. Everyone who is either not tall or not happy is humble and vice versa. If lucy is patient or not strong then john is not old and vice versa. If someone is both kind and not qu... | John is not curious. | entailment | (![X]:((patient(X)<~>calm(X))=>(~creative(X)|~rich(X))))&
(![X]:((~kind(X)<~>~old(X))<=>(strong(X)|kind(X))))&
(![X]:((~tall(X)<~>~happy(X))<=>humble(X)))&
(((patient(lucy)|~strong(lucy)))<=>(~old(john)))&
((?[X]:((kind(X)&~quiet(X))))<=>(?[X]:((~humble(X)<~>~brave(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:((~tall(X)&curious(... | ~curious(john) | [
"p1",
"p6",
"p8",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4813204258784945440232390
% SZS output start Proof for 4813204258784945440232390
2. ! [X0] : ((~kind(X0) <~> ~old(X0)) <=> (kind(X0) | strong(X0))) [input p1]
7. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (strong(X0) <~> ~calm(X0))) [input p6]
9. ? [X0] : old(X0) <=> ? [X0] : (~generous(X0) | ... | 0 |
Everyone who is funny or rich is not kind and vice versa.
Everyone who is either old or strong is both not strong and curious.
If someone is either creative or humble then someone is not patient and vice versa.
If someone is not brave then someone is either not calm or generous and vice versa.
Everyone who is not rich ... | Paul is not kind. | entailment | (![X]:((funny(X)|rich(X))<=>~kind(X)))&
(![X]:((old(X)<~>strong(X))=>(~strong(X)&curious(X))))&
((?[X]:((creative(X)<~>humble(X))))<=>(?[X]:(~patient(X))))&
((?[X]:(~brave(X)))<=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:(~rich(X)<=>~happy(X)))&
((?[X]:((~generous(X)&kind(X))))=>(~calm(alice)))&
(![X]:(~generous(X)<=>(... | ~kind(paul) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 254900192501258413131643
% SZS output start Proof for 254900192501258413131643
1. ! [X0] : ((rich(X0) | funny(X0)) <=> ~kind(X0)) [input p0]
11. ! [X0] : ((rich(X0) | kind(X0)) => (rich(X0) & happy(X0))) [input p10]
24. kind(paul) [input hypothesis]
32. ! [X0] : ((rich(X0) & happy(X0)) | ... | 0 |
If lucy is creative or not kind then someone is quiet and vice versa.
Everyone who is both tall and not humble is not patient.
If paul is both not wise and not brave then someone is both strong and not funny.
If someone is creative or not curious then someone is both not rich and not creative.
If susan is happy then so... | Mary is creative. | neutral | (((creative(lucy)|~kind(lucy)))<=>(?[X]:(quiet(X))))&
(![X]:((tall(X)&~humble(X))=>~patient(X)))&
(((~wise(paul)&~brave(paul)))=>(?[X]:((strong(X)&~funny(X)))))&
((?[X]:((creative(X)|~curious(X))))=>(?[X]:((~rich(X)&~creative(X)))))&
((happy(susan))=>(?[X]:((brave(X)|~creative(X)))))&
(![X]:(~funny(X)<=>(funny(X)|brave... | creative(mary) | [] | null | 0 |
Everyone who is funny or calm is both not generous and quiet and vice versa. If someone is both not tall and quiet then someone is either wise or tall and vice versa. Everyone who is creative or not strong is not kind and vice versa. If mary is humble then someone is both creative and not rich. Everyone who is happy or... | Alice is not strong. | contradiction | (![X]:((funny(X)|calm(X))<=>(~generous(X)&quiet(X))))&
((?[X]:((~tall(X)&quiet(X))))<=>(?[X]:((wise(X)<~>tall(X)))))&
(![X]:((creative(X)|~strong(X))<=>~kind(X)))&
((humble(mary))=>(?[X]:((creative(X)&~rich(X)))))&
(![X]:((happy(X)|~curious(X))<=>(~strong(X)<~>patient(X))))&
((?[X]:((strong(X)|wise(X))))=>(?[X]:((old(X... | ~strong(alice) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 866302207149241944451789
% SZS output start Proof for 866302207149241944451789
5. ! [X0] : ((~curious(X0) | happy(X0)) <=> (~strong(X0) <~> patient(X0))) [input p4]
13. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (happy(X0) & patient(X0))) [input p12]
24. ~strong(alice) [input hypothesis]
... | 0 |
Everyone who is either not brave or not wise is creative.
If lucy is not generous or tall then paul is humble or not humble and vice versa.
Everyone who is either not brave or not tall is not brave or not tall.
Everyone who is either not kind or calm is both curious and not humble and vice versa.
If someone is both not... | Fred is wise. | contradiction | (![X]:((~brave(X)<~>~wise(X))=>creative(X)))&
(((~generous(lucy)|tall(lucy)))<=>((humble(paul)|~humble(paul))))&
(![X]:((~brave(X)<~>~tall(X))=>(~brave(X)|~tall(X))))&
(![X]:((~kind(X)<~>calm(X))<=>(curious(X)&~humble(X))))&
((?[X]:((~humble(X)&~tall(X))))<=>(?[X]:((~brave(X)&~creative(X)))))&
((?[X]:((tall(X)&patient(... | wise(fred) | [
"p8",
"p10",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6729625880760186276642774
% SZS output start Proof for 6729625880760186276642774
9. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (patient(X0) & ~quiet(X0))) [input p8]
11. ! [X0] : (~quiet(X0) => (~quiet(X0) & ~wise(X0))) [input p10]
12. ! [X0] : (~patient(X0) => ~quiet(X0)) [input p11]
15. ? [X0... | 0 |
If someone is happy or not patient then mary is both tall and kind and vice versa. Everyone who is not funny is not generous or not brave and vice versa. Everyone who is happy is both not creative and rich. Everyone who is not wise or quiet is either not strong or humble and vice versa. If someone is not humble then al... | Paul is strong. | entailment | ((?[X]:((happy(X)|~patient(X))))<=>((tall(mary)&kind(mary))))&
(![X]:(~funny(X)<=>(~generous(X)|~brave(X))))&
(![X]:(happy(X)=>(~creative(X)&rich(X))))&
(![X]:((~wise(X)|quiet(X))<=>(~strong(X)<~>humble(X))))&
((?[X]:(~humble(X)))<=>((~calm(alice)|~tall(alice))))&
(![X]:((~humble(X)<~>~calm(X))<=>(~kind(X)|rich(X))))&
... | strong(paul) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 3570414623572728240615196
% SZS output start Proof for 3570414623572728240615196
1. ? [X0] : (~patient(X0) | happy(X0)) <=> (kind(mary) & tall(mary)) [input p0]
3. ! [X0] : (happy(X0) => (rich(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | ~wise(X0)) <=> (~strong(X0) <~> humbl... | 0 |
If fred is both not creative and not wise then fred is curious or calm and vice versa. Everyone who is either not rich or not patient is both brave and wise. Everyone who is both not brave and tall is not kind. Everyone who is not creative is either not happy or not patient and vice versa. If someone is either not gene... | Mary is not kind. | contradiction | (((~creative(fred)&~wise(fred)))<=>((curious(fred)|calm(fred))))&
(![X]:((~rich(X)<~>~patient(X))=>(brave(X)&wise(X))))&
(![X]:((~brave(X)&tall(X))=>~kind(X)))&
(![X]:(~creative(X)<=>(~happy(X)<~>~patient(X))))&
((?[X]:((~generous(X)<~>patient(X))))=>(?[X]:((patient(X)|quiet(X)))))&
((?[X]:((~kind(X)|quiet(X))))=>(?[X]... | ~kind(mary) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 636462158227748797681939
% SZS output start Proof for 636462158227748797681939
11. ! [X0] : ((~quiet(X0) <~> quiet(X0)) <=> (kind(X0) <~> brave(X0))) [input p10]
22. ~brave(mary) [input p21]
25. ~kind(mary) [input hypothesis]
62. ! [X0] : ((((~quiet(X0) | quiet(X0)) & (quiet(X0) | ~quiet(... | 0 |
Everyone who is creative is both quiet and calm and vice versa.
Everyone who is not kind or brave is not calm and vice versa.
If mary is both not funny and not happy then fred is not quiet or curious.
If someone is not quiet or humble then fred is both tall and funny.
Everyone who is either brave or happy is not tall o... | Susan is strong. | contradiction | (![X]:(creative(X)<=>(quiet(X)&calm(X))))&
(![X]:((~kind(X)|brave(X))<=>~calm(X)))&
(((~funny(mary)&~happy(mary)))=>((~quiet(fred)|curious(fred))))&
((?[X]:((~quiet(X)|humble(X))))=>((tall(fred)&funny(fred))))&
(![X]:((brave(X)<~>happy(X))=>(~tall(X)|kind(X))))&
((?[X]:(humble(X)))=>((strong(susan)&~strong(susan))))&
(... | strong(susan) | [
"p0",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7470400747382927000716734
% SZS output start Proof for 7470400747382927000716734
1. ! [X0] : (creative(X0) <=> (calm(X0) & quiet(X0))) [input p0]
7. ! [X0] : (quiet(X0) => (~strong(X0) & generous(X0))) [input p6]
12. ! [X0] : ((creative(X0) | ~quiet(X0)) => creative(X0)) [input p11]
23. s... | 0 |
If john is either quiet or not rich then someone is both curious and quiet. If paul is not humble then someone is not brave and vice versa. Everyone who is both rich and not calm is both generous and strong. Everyone who is both happy and funny is curious or humble and vice versa. Everyone who is both creative and kind... | Lucy is not happy. | neutral | (((quiet(john)<~>~rich(john)))=>(?[X]:((curious(X)&quiet(X)))))&
((~humble(paul))<=>(?[X]:(~brave(X))))&
(![X]:((rich(X)&~calm(X))=>(generous(X)&strong(X))))&
(![X]:((happy(X)&funny(X))<=>(curious(X)|humble(X))))&
(![X]:((creative(X)&kind(X))=>(old(X)&~old(X))))&
(![X]:(brave(X)<=>(~calm(X)&wise(X))))&
((old(lucy))=>((... | ~happy(lucy) | [] | null | 0 |
Everyone who is either old or not wise is either kind or not generous and vice versa.
Everyone who is both not calm and not generous is not funny or not old and vice versa.
If someone is happy or not rich then someone is both not happy and strong and vice versa.
Everyone who is both rich and brave is not patient.
If so... | Fred is strong. | contradiction | (![X]:((old(X)<~>~wise(X))<=>(kind(X)<~>~generous(X))))&
(![X]:((~calm(X)&~generous(X))<=>(~funny(X)|~old(X))))&
((?[X]:((happy(X)|~rich(X))))<=>(?[X]:((~happy(X)&strong(X)))))&
(![X]:((rich(X)&brave(X))=>~patient(X)))&
((?[X]:((~funny(X)&generous(X))))=>(?[X]:((old(X)|~humble(X)))))&
(![X]:((tall(X)<~>strong(X))<=>~st... | strong(fred) | [
"p5",
"p7",
"p11",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7968553660927883176238901
% SZS output start Proof for 7968553660927883176238901
6. ! [X0] : ((tall(X0) <~> strong(X0)) <=> ~strong(X0)) [input p5]
8. ! [X0] : (tall(X0) => (~calm(X0) <~> humble(X0))) [input p7]
12. ! [X0] : ((kind(X0) <~> ~calm(X0)) <=> (~strong(X0) | ~humble(X0))) [inpu... | 0 |
Everyone who is not strong or strong is both wise and rich and vice versa.
If alice is not creative then someone is humble and vice versa.
If john is both generous and not generous then alice is either not funny or happy.
Everyone who is not generous or not brave is either not humble or curious and vice versa.
If john ... | Mary is not kind. | neutral | (![X]:((~strong(X)|strong(X))<=>(wise(X)&rich(X))))&
((~creative(alice))<=>(?[X]:(humble(X))))&
(((generous(john)&~generous(john)))=>((~funny(alice)<~>happy(alice))))&
(![X]:((~generous(X)|~brave(X))<=>(~humble(X)<~>curious(X))))&
(((~kind(john)|~generous(john)))=>((~creative(paul)&happy(paul))))&
(![X]:((~humble(X)&~c... | ~kind(mary) | [] | null | 0 |
If someone is both humble and not calm then paul is either not happy or brave. Everyone who is both rich and brave is both not generous and not calm and vice versa. Everyone who is old is both not strong and creative. If susan is not funny then someone is either humble or not brave. Everyone who is not generous is not ... | Lucy is not quiet. | neutral | ((?[X]:((humble(X)&~calm(X))))=>((~happy(paul)<~>brave(paul))))&
(![X]:((rich(X)&brave(X))<=>(~generous(X)&~calm(X))))&
(![X]:(old(X)=>(~strong(X)&creative(X))))&
((~funny(susan))=>(?[X]:((humble(X)<~>~brave(X)))))&
(![X]:(~generous(X)=>~creative(X)))&
(((happy(fred)|humble(fred)))=>(?[X]:((~funny(X)|wise(X)))))&
(![X]... | ~quiet(lucy) | [] | null | 0 |
Everyone who is both not old and not patient is brave. Everyone who is patient or funny is either not humble or creative. Everyone who is both rich and generous is not happy or not humble and vice versa. Everyone who is not rich is both not brave and not happy. Everyone who is funny or old is not wise. Everyone who is ... | Alice is humble. | contradiction | (![X]:((~old(X)&~patient(X))=>brave(X)))&
(![X]:((patient(X)|funny(X))=>(~humble(X)<~>creative(X))))&
(![X]:((rich(X)&generous(X))<=>(~happy(X)|~humble(X))))&
(![X]:(~rich(X)=>(~brave(X)&~happy(X))))&
(![X]:((funny(X)|old(X))=>~wise(X)))&
(![X]:((~brave(X)&~strong(X))<=>(creative(X)<~>~wise(X))))&
(![X]:(creative(X)<=>... | humble(alice) | [
"p2",
"p3",
"p6",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7097593716518252391873945
% SZS output start Proof for 7097593716518252391873945
3. ! [X0] : ((generous(X0) & rich(X0)) <=> (~humble(X0) | ~happy(X0))) [input p2]
4. ! [X0] : (~rich(X0) => (~happy(X0) & ~brave(X0))) [input p3]
7. ! [X0] : (creative(X0) <=> (~curious(X0) & happy(X0))) [inp... | 0 |
If someone is not happy then susan is both not strong and rich.
If someone is not calm or curious then someone is creative and vice versa.
If paul is either not calm or strong then someone is both calm and not brave and vice versa.
Everyone who is not brave or curious is not wise.
If alice is generous then someone is r... | Lucy is generous. | neutral | ((?[X]:(~happy(X)))=>((~strong(susan)&rich(susan))))&
((?[X]:((~calm(X)|curious(X))))<=>(?[X]:(creative(X))))&
(((~calm(paul)<~>strong(paul)))<=>(?[X]:((calm(X)&~brave(X)))))&
(![X]:((~brave(X)|curious(X))=>~wise(X)))&
((generous(alice))<=>(?[X]:((rich(X)|strong(X)))))&
((?[X]:(tall(X)))=>((funny(susan)<~>~kind(susan))... | generous(lucy) | [] | null | 0 |
If someone is either not old or not strong then someone is both calm and old and vice versa.
Everyone who is both funny and not generous is not brave or curious and vice versa.
Everyone who is not quiet is both tall and calm.
Everyone who is both not wise and not kind is both calm and not kind and vice versa.
If someon... | Alice is not happy. | entailment | ((?[X]:((~old(X)<~>~strong(X))))<=>(?[X]:((calm(X)&old(X)))))&
(![X]:((funny(X)&~generous(X))<=>(~brave(X)|curious(X))))&
(![X]:(~quiet(X)=>(tall(X)&calm(X))))&
(![X]:((~wise(X)&~kind(X))<=>(calm(X)&~kind(X))))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((~creative(X)|strong(X)))))&
(((patient(lucy)&~old(lucy)))<=>(?[X]:(~ric... | ~happy(alice) | [
"p1",
"p12",
"p13",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 3646590572514993524372642
% SZS output start Proof for 3646590572514993524372642
2. ! [X0] : ((~generous(X0) & funny(X0)) <=> (curious(X0) | ~brave(X0))) [input p1]
13. ! [X0] : (~old(X0) => (~strong(X0) & ~calm(X0))) [input p12]
14. ! [X0] : ((~generous(X0) <~> brave(X0)) <=> (~rich(X0) ... | 0 |
If someone is humble then john is not creative.
If paul is both not generous and quiet then fred is both creative and not quiet and vice versa.
If someone is either not strong or creative then someone is both not funny and creative.
If mary is both not kind and humble then john is calm.
If fred is quiet then someone is... | Lucy is not curious. | entailment | ((?[X]:(humble(X)))=>(~creative(john)))&
(((~generous(paul)&quiet(paul)))<=>((creative(fred)&~quiet(fred))))&
((?[X]:((~strong(X)<~>creative(X))))=>(?[X]:((~funny(X)&creative(X)))))&
(((~kind(mary)&humble(mary)))=>(calm(john)))&
((quiet(fred))<=>(?[X]:((~wise(X)&kind(X)))))&
(![X]:((~creative(X)<~>~quiet(X))=>(~humble(... | ~curious(lucy) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1381939060696552631568952
% SZS output start Proof for 1381939060696552631568952
12. ! [X0] : ((kind(X0) | curious(X0)) => (~old(X0) & ~curious(X0))) [input p11]
25. curious(lucy) [input hypothesis]
32. ! [X0] : ((kind(X0) | curious(X0)) => ~curious(X0)) [pure predicate removal 12]
43. ! ... | 0 |
Everyone who is either happy or generous is both humble and wise and vice versa.
Everyone who is either creative or not curious is both strong and not tall.
If someone is both not quiet and not rich then someone is tall and vice versa.
If someone is not creative or not kind then someone is funny.
Everyone who is happy ... | Lucy is not tall. | entailment | (![X]:((happy(X)<~>generous(X))<=>(humble(X)&wise(X))))&
(![X]:((creative(X)<~>~curious(X))=>(strong(X)&~tall(X))))&
((?[X]:((~quiet(X)&~rich(X))))<=>(?[X]:(tall(X))))&
((?[X]:((~creative(X)|~kind(X))))=>(?[X]:(funny(X))))&
(![X]:(happy(X)=>(~funny(X)|~old(X))))&
(![X]:(kind(X)=>(~curious(X)&~happy(X))))&
(![X]:(~rich(... | ~tall(lucy) | [
"p2",
"p3",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4320859334516857271217229
% SZS output start Proof for 4320859334516857271217229
3. ? [X0] : (~rich(X0) & ~quiet(X0)) <=> ? [X0] : tall(X0) [input p2]
4. ? [X0] : (~kind(X0) | ~creative(X0)) => ? [X0] : funny(X0) [input p3]
7. ! [X0] : (~rich(X0) <=> (~creative(X0) & ~quiet(X0))) [input p... | 0 |
If john is not generous then someone is not strong or not brave. If fred is either not rich or not patient then someone is kind. If someone is not calm then alice is both not kind and not generous. If john is either strong or not happy then mary is both not wise and not curious and vice versa. Everyone who is curious o... | Lucy is brave. | entailment | ((~generous(john))=>(?[X]:((~strong(X)|~brave(X)))))&
(((~rich(fred)<~>~patient(fred)))=>(?[X]:(kind(X))))&
((?[X]:(~calm(X)))=>((~kind(alice)&~generous(alice))))&
(((strong(john)<~>~happy(john)))<=>((~wise(mary)&~curious(mary))))&
(![X]:((curious(X)|strong(X))=>(~brave(X)<~>~old(X))))&
(![X]:(~brave(X)<=>(kind(X)<~>ha... | brave(lucy) | [
"p4",
"p7",
"p13",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3935590549807622663438266
% SZS output start Proof for 3935590549807622663438266
5. ! [X0] : ((strong(X0) | curious(X0)) => (~brave(X0) <~> ~old(X0))) [input p4]
8. ! [X0] : ((brave(X0) & ~happy(X0)) <=> (wise(X0) <~> strong(X0))) [input p7]
14. ! [X0] : (happy(X0) <=> (~curious(X0) <~> ~... | 0 |
Everyone who is either wise or not brave is kind or old and vice versa.
Everyone who is generous or not generous is both not curious and funny.
Everyone who is curious is humble or not tall and vice versa.
If mary is not strong or not funny then susan is either not kind or not brave and vice versa.
Everyone who is both... | Paul is not quiet. | entailment | (![X]:((wise(X)<~>~brave(X))<=>(kind(X)|old(X))))&
(![X]:((generous(X)|~generous(X))=>(~curious(X)&funny(X))))&
(![X]:(curious(X)<=>(humble(X)|~tall(X))))&
(((~strong(mary)|~funny(mary)))<=>((~kind(susan)<~>~brave(susan))))&
(![X]:((~old(X)&old(X))<=>~old(X)))&
(![X]:((quiet(X)&generous(X))=>humble(X)))&
(![X]:((~kind(... | ~quiet(paul) | [
"p1",
"p2",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5510221854650553945441262
% SZS output start Proof for 5510221854650553945441262
2. ! [X0] : ((~generous(X0) | generous(X0)) => (funny(X0) & ~curious(X0))) [input p1]
3. ! [X0] : (curious(X0) <=> (~tall(X0) | humble(X0))) [input p2]
6. ! [X0] : ((generous(X0) & quiet(X0)) => humble(X0)) [... | 0 |
If someone is happy then someone is either not rich or not strong and vice versa.
Everyone who is not quiet is either not kind or calm and vice versa.
Everyone who is either not kind or not wise is not humble and vice versa.
Everyone who is patient is creative and vice versa.
If fred is both funny and brave then lucy i... | John is not quiet. | entailment | ((?[X]:(happy(X)))<=>(?[X]:((~rich(X)<~>~strong(X)))))&
(![X]:(~quiet(X)<=>(~kind(X)<~>calm(X))))&
(![X]:((~kind(X)<~>~wise(X))<=>~humble(X)))&
(![X]:(patient(X)<=>creative(X)))&
(((funny(fred)&brave(fred)))=>(~creative(lucy)))&
(![X]:((~kind(X)&~humble(X))<=>(calm(X)&strong(X))))&
(![X]:((curious(X)&tall(X))<=>(~tall(... | ~quiet(john) | [
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2436752786914154820239456
% SZS output start Proof for 2436752786914154820239456
7. ! [X0] : ((tall(X0) & curious(X0)) <=> (~humble(X0) | ~tall(X0))) [input p6]
14. ! [X0] : (quiet(X0) => (~brave(X0) & ~tall(X0))) [input p13]
23. quiet(john) [input hypothesis]
34. ! [X0] : ((~brave(X0) & ... | 0 |
Everyone who is not old or not quiet is both curious and not happy.
If susan is both rich and not old then mary is not strong and vice versa.
Everyone who is not happy is both not generous and not humble.
If someone is not patient then susan is not rich.
Everyone who is not tall or not patient is both not patient and n... | Susan is quiet. | neutral | (![X]:((~old(X)|~quiet(X))=>(curious(X)&~happy(X))))&
(((rich(susan)&~old(susan)))<=>(~strong(mary)))&
(![X]:(~happy(X)=>(~generous(X)&~humble(X))))&
((?[X]:(~patient(X)))=>(~rich(susan)))&
(![X]:((~tall(X)|~patient(X))=>(~patient(X)&~old(X))))&
(((creative(fred)|~old(fred)))=>((creative(john)|~curious(john))))&
(![X]:... | quiet(susan) | [] | null | 0 |
If paul is both generous and not rich then someone is either not calm or brave and vice versa.
If paul is both patient and not creative then john is both not quiet and not humble and vice versa.
Everyone who is either not old or old is creative or not creative and vice versa.
Everyone who is not generous is both funny ... | Paul is not generous. | contradiction | (((generous(paul)&~rich(paul)))<=>(?[X]:((~calm(X)<~>brave(X)))))&
(((patient(paul)&~creative(paul)))<=>((~quiet(john)&~humble(john))))&
(![X]:((~old(X)<~>old(X))<=>(creative(X)|~creative(X))))&
(![X]:(~generous(X)=>(funny(X)&~funny(X))))&
((?[X]:((~calm(X)|~rich(X))))=>(?[X]:((~calm(X)&patient(X)))))&
((tall(lucy))=>(... | ~generous(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 306722953052167213516964
% SZS output start Proof for 306722953052167213516964
4. ! [X0] : (~generous(X0) => (~funny(X0) & funny(X0))) [input p3]
25. ~generous(paul) [input hypothesis]
29. ! [X0] : ((~funny(X0) & funny(X0)) | generous(X0)) [ennf transformation 4]
97. funny(X0) | generous(... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and kind then someone is not old or rich.
If someone is both patient and happy then john is rich.
If mary is funny then someone is not wise or not strong.
Everyone who is curious or not old is brave or not wise.
Ev... | Fred is happy. | contradiction | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&kind(X))))=>(?[X]:((~old(X)|rich(X)))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient... | happy(fred) | [
"p4",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1501028208210413494318667
% SZS output start Proof for 1501028208210413494318667
5. ! [X0] : ((~old(X0) | curious(X0)) => (~wise(X0) | brave(X0))) [input p4]
7. ! [X0] : (brave(X0) <=> patient(X0)) [input p6]
8. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p... | 0 |
Everyone who is not curious or creative is not old. If alice is both not tall and not rich then alice is both not old and not curious and vice versa. If someone is either not tall or tall then someone is not humble. Everyone who is not wise or humble is both humble and not rich and vice versa. If paul is not happy then... | Mary is not tall. | neutral | (![X]:((~curious(X)|creative(X))=>~old(X)))&
(((~tall(alice)&~rich(alice)))<=>((~old(alice)&~curious(alice))))&
((?[X]:((~tall(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((~wise(X)|humble(X))<=>(humble(X)&~rich(X))))&
((~happy(paul))=>((~quiet(mary)|funny(mary))))&
((?[X]:(~curious(X)))<=>(?[X]:(~wise(X))))&
((?[X]:(... | ~tall(mary) | [] | null | 0 |
If someone is either happy or not kind then mary is not kind or not tall and vice versa.
Everyone who is both rich and creative is not quiet and vice versa.
Everyone who is not kind is either generous or not calm and vice versa.
Everyone who is both curious and quiet is both not rich and not funny and vice versa.
Every... | Lucy is wise. | entailment | ((?[X]:((happy(X)<~>~kind(X))))<=>((~kind(mary)|~tall(mary))))&
(![X]:((rich(X)&creative(X))<=>~quiet(X)))&
(![X]:(~kind(X)<=>(generous(X)<~>~calm(X))))&
(![X]:((curious(X)&quiet(X))<=>(~rich(X)&~funny(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(~happy(X)|curious(X))))&
(![X]:(~rich(X)<=>patient(X)))&
(![X]:((~calm(X)&funn... | wise(lucy) | [
"p1",
"p3",
"p4",
"p6",
"p7",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7762396488249624209977784
% SZS output start Proof for 7762396488249624209977784
2. ! [X0] : ((creative(X0) & rich(X0)) <=> ~quiet(X0)) [input p1]
4. ! [X0] : ((quiet(X0) & curious(X0)) <=> (~funny(X0) & ~rich(X0))) [input p3]
5. ! [X0] : ((~kind(X0) <~> ~happy(X0)) <=> (curious(X0) | ~ha... | 0 |
If someone is quiet or not brave then someone is rich or not calm.
If alice is both not funny and strong then mary is curious.
Everyone who is not happy or not creative is generous.
If susan is not strong or tall then someone is either quiet or not strong and vice versa.
If someone is both not patient and humble then s... | Lucy is funny. | neutral | ((?[X]:((quiet(X)|~brave(X))))=>(?[X]:((rich(X)|~calm(X)))))&
(((~funny(alice)&strong(alice)))=>(curious(mary)))&
(![X]:((~happy(X)|~creative(X))=>generous(X)))&
(((~strong(susan)|tall(susan)))<=>(?[X]:((quiet(X)<~>~strong(X)))))&
((?[X]:((~patient(X)&humble(X))))<=>(?[X]:((~kind(X)|~wise(X)))))&
(![X]:((quiet(X)|~wise... | funny(lucy) | [] | null | 0 |
Everyone who is either not generous or wise is not tall or quiet.
If susan is both not creative and not quiet then paul is not kind or rich.
If someone is quiet or not creative then someone is rich or strong and vice versa.
If someone is not curious then john is calm.
If mary is either not strong or not tall then someo... | Fred is not strong. | neutral | (![X]:((~generous(X)<~>wise(X))=>(~tall(X)|quiet(X))))&
(((~creative(susan)&~quiet(susan)))=>((~kind(paul)|rich(paul))))&
((?[X]:((quiet(X)|~creative(X))))<=>(?[X]:((rich(X)|strong(X)))))&
((?[X]:(~curious(X)))=>(calm(john)))&
(((~strong(mary)<~>~tall(mary)))<=>(?[X]:((~calm(X)<~>~strong(X)))))&
(![X]:(strong(X)=>(~old... | ~strong(fred) | [] | null | 0 |
If mary is either kind or not patient then john is either not generous or not happy and vice versa.
If fred is brave then alice is both rich and strong and vice versa.
Everyone who is both not rich and happy is either funny or kind and vice versa.
Everyone who is either patient or not tall is not patient or wise and vi... | John is funny. | entailment | (((kind(mary)<~>~patient(mary)))<=>((~generous(john)<~>~happy(john))))&
((brave(fred))<=>((rich(alice)&strong(alice))))&
(![X]:((~rich(X)&happy(X))<=>(funny(X)<~>kind(X))))&
(![X]:((patient(X)<~>~tall(X))<=>(~patient(X)|wise(X))))&
(![X]:(happy(X)=>quiet(X)))&
((?[X]:((quiet(X)<~>~rich(X))))=>(~old(susan)))&
(![X]:((br... | funny(john) | [
"p2",
"p4",
"p5",
"p6",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7655872714989571462891553
% SZS output start Proof for 7655872714989571462891553
3. ! [X0] : ((happy(X0) & ~rich(X0)) <=> (funny(X0) <~> kind(X0))) [input p2]
5. ! [X0] : (happy(X0) => quiet(X0)) [input p4]
6. ? [X0] : (quiet(X0) <~> ~rich(X0)) => ~old(susan) [input p5]
7. ! [X0] : ((funn... | 0 |
If someone is tall or not happy then john is either funny or not rich and vice versa. If someone is kind or wise then someone is generous or not brave. If susan is either tall or not creative then someone is both not brave and kind and vice versa. Everyone who is not happy or not kind is kind and vice versa. If alice i... | John is not kind. | contradiction | ((?[X]:((tall(X)|~happy(X))))<=>((funny(john)<~>~rich(john))))&
((?[X]:((kind(X)|wise(X))))=>(?[X]:((generous(X)|~brave(X)))))&
(((tall(susan)<~>~creative(susan)))<=>(?[X]:((~brave(X)&kind(X)))))&
(![X]:((~happy(X)|~kind(X))<=>kind(X)))&
(((creative(alice)<~>generous(alice)))=>((creative(mary)<~>calm(mary))))&
((?[X]:(... | ~kind(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 8048200085580423455590091
% SZS output start Proof for 8048200085580423455590091
4. ! [X0] : ((~kind(X0) | ~happy(X0)) <=> kind(X0)) [input p3]
24. ~kind(john) [input hypothesis]
50. ! [X0] : (((~kind(X0) | ~happy(X0)) | ~kind(X0)) & (kind(X0) | (kind(X0) & happy(X0)))) [nnf transformatio... | 0 |
If mary is both funny and not humble then susan is tall or funny.
If someone is either not curious or happy then someone is both not creative and not humble and vice versa.
Everyone who is rich or not tall is generous or not happy.
If john is either not rich or not generous then someone is either generous or not funny.... | Fred is humble. | contradiction | (((funny(mary)&~humble(mary)))=>((tall(susan)|funny(susan))))&
((?[X]:((~curious(X)<~>happy(X))))<=>(?[X]:((~creative(X)&~humble(X)))))&
(![X]:((rich(X)|~tall(X))=>(generous(X)|~happy(X))))&
(((~rich(john)<~>~generous(john)))=>(?[X]:((generous(X)<~>~funny(X)))))&
(![X]:(~creative(X)=>~funny(X)))&
(![X]:((old(X)&quiet(X... | humble(fred) | [
"p5",
"p8",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2166453843070955252473198
% SZS output start Proof for 2166453843070955252473198
6. ! [X0] : ((quiet(X0) & old(X0)) <=> old(X0)) [input p5]
9. ! [X0] : (humble(X0) <=> old(X0)) [input p8]
23. ~generous(fred) & ~quiet(fred) [input p22]
24. humble(fred) [input hypothesis]
49. ! [X0] : (((qu... | 0 |
Everyone who is both not kind and tall is old and vice versa.
Everyone who is humble is both not curious and happy and vice versa.
If susan is both not old and not wise then mary is brave or not calm and vice versa.
If fred is not curious or old then someone is not happy or rich.
If someone is not calm then someone is ... | Mary is not humble. | entailment | (![X]:((~kind(X)&tall(X))<=>old(X)))&
(![X]:(humble(X)<=>(~curious(X)&happy(X))))&
(((~old(susan)&~wise(susan)))<=>((brave(mary)|~calm(mary))))&
(((~curious(fred)|old(fred)))=>(?[X]:((~happy(X)|rich(X)))))&
((?[X]:(~calm(X)))<=>(?[X]:((brave(X)|~kind(X)))))&
((~kind(john))=>(?[X]:((~quiet(X)|~old(X)))))&
(![X]:(~calm(X... | ~humble(mary) | [
"p1",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2380078917300054359370398
% SZS output start Proof for 2380078917300054359370398
2. ! [X0] : (humble(X0) <=> (happy(X0) & ~curious(X0))) [input p1]
11. ! [X0] : ((rich(X0) <~> curious(X0)) => (~happy(X0) <~> ~kind(X0))) [input p10]
13. ~curious(mary) => (rich(mary) & kind(mary)) [input p1... | 0 |
Everyone who is not humble or tall is not humble or not happy.
Everyone who is either not brave or not calm is either not rich or happy and vice versa.
Everyone who is both quiet and funny is creative or rich.
If susan is either not calm or happy then someone is either not funny or creative and vice versa.
Everyone who... | John is not creative. | neutral | (![X]:((~humble(X)|tall(X))=>(~humble(X)|~happy(X))))&
(![X]:((~brave(X)<~>~calm(X))<=>(~rich(X)<~>happy(X))))&
(![X]:((quiet(X)&funny(X))=>(creative(X)|rich(X))))&
(((~calm(susan)<~>happy(susan)))<=>(?[X]:((~funny(X)<~>creative(X)))))&
(![X]:((brave(X)|tall(X))=>(~humble(X)|rich(X))))&
((?[X]:((funny(X)|generous(X))))... | ~creative(john) | [] | null | 0 |
Everyone who is both curious and not strong is not curious or funny and vice versa.
Everyone who is not creative is both not patient and not strong.
If someone is not old or creative then someone is either funny or patient and vice versa.
Everyone who is wise is not rich or funny and vice versa.
If someone is not rich ... | Lucy is humble. | entailment | (![X]:((curious(X)&~strong(X))<=>(~curious(X)|funny(X))))&
(![X]:(~creative(X)=>(~patient(X)&~strong(X))))&
((?[X]:((~old(X)|creative(X))))<=>(?[X]:((funny(X)<~>patient(X)))))&
(![X]:(wise(X)<=>(~rich(X)|funny(X))))&
((?[X]:((~rich(X)|curious(X))))<=>((~strong(paul)|generous(paul))))&
(![X]:((tall(X)|wise(X))<=>patient... | humble(lucy) | [
"p0",
"p1",
"p13",
"p15",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 384087848847027066410221
% SZS output start Proof for 384087848847027066410221
1. ! [X0] : ((~strong(X0) & curious(X0)) <=> (funny(X0) | ~curious(X0))) [input p0]
2. ! [X0] : (~creative(X0) => (~strong(X0) & ~patient(X0))) [input p1]
14. ! [X0] : ((curious(X0) | tall(X0)) => (tall(X0) & s... | 0 |
If someone is not patient or funny then someone is both humble and curious.
If alice is not tall then someone is not brave or creative.
If susan is not calm then someone is both brave and happy.
If paul is wise then someone is either not kind or not funny and vice versa.
Everyone who is either not calm or funny is not ... | John is tall. | contradiction | ((?[X]:((~patient(X)|funny(X))))=>(?[X]:((humble(X)&curious(X)))))&
((~tall(alice))=>(?[X]:((~brave(X)|creative(X)))))&
((~calm(susan))=>(?[X]:((brave(X)&happy(X)))))&
((wise(paul))<=>(?[X]:((~kind(X)<~>~funny(X)))))&
(![X]:((~calm(X)<~>funny(X))<=>(~creative(X)|~curious(X))))&
(![X]:((~curious(X)|patient(X))=>(~creati... | tall(john) | [
"p4",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4305494174816655448741494
% SZS output start Proof for 4305494174816655448741494
5. ! [X0] : ((~calm(X0) <~> funny(X0)) <=> (~curious(X0) | ~creative(X0))) [input p4]
13. ! [X0] : (~funny(X0) <=> (tall(X0) & creative(X0))) [input p12]
21. ~calm(john) & curious(john) [input p20]
24. tall(j... | 0 |
If someone is both not humble and humble then paul is calm and vice versa.
Everyone who is both quiet and not wise is not curious or quiet and vice versa.
Everyone who is quiet or humble is not quiet and vice versa.
Everyone who is not generous or not tall is both not rich and kind and vice versa.
If alice is either no... | Alice is happy. | entailment | ((?[X]:((~humble(X)&humble(X))))<=>(calm(paul)))&
(![X]:((quiet(X)&~wise(X))<=>(~curious(X)|quiet(X))))&
(![X]:((quiet(X)|humble(X))<=>~quiet(X)))&
(![X]:((~generous(X)|~tall(X))<=>(~rich(X)&kind(X))))&
(((~brave(alice)<~>~patient(alice)))=>(?[X]:((wise(X)&~generous(X)))))&
(![X]:(~humble(X)<=>~funny(X)))&
((?[X]:((kin... | happy(alice) | [
"p1",
"p2",
"p3",
"p6",
"p7",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8635403290166155588799400
% SZS output start Proof for 8635403290166155588799400
2. ! [X0] : ((~wise(X0) & quiet(X0)) <=> (quiet(X0) | ~curious(X0))) [input p1]
3. ! [X0] : ((humble(X0) | quiet(X0)) <=> ~quiet(X0)) [input p2]
4. ! [X0] : ((~tall(X0) | ~generous(X0)) <=> (kind(X0) & ~rich(... | 0 |
If someone is not strong or not humble then someone is not rich or not tall. Everyone who is both humble and tall is not humble or wise. If susan is both funny and not patient then fred is either not brave or not calm and vice versa. If someone is either wise or funny then john is wise or not patient and vice versa. If... | Alice is not wise. | contradiction | ((?[X]:((~strong(X)|~humble(X))))=>(?[X]:((~rich(X)|~tall(X)))))&
(![X]:((humble(X)&tall(X))=>(~humble(X)|wise(X))))&
(((funny(susan)&~patient(susan)))<=>((~brave(fred)<~>~calm(fred))))&
((?[X]:((wise(X)<~>funny(X))))<=>((wise(john)|~patient(john))))&
((?[X]:(~old(X)))=>(?[X]:((~happy(X)|~creative(X)))))&
((~calm(alice... | ~wise(alice) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p9",
"p10",
"p12",
"p14",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 31704312745951408939101
% SZS output start Proof for 31704312745951408939101
1. ? [X0] : (~humble(X0) | ~strong(X0)) => ? [X0] : (~tall(X0) | ~rich(X0)) [input p0]
2. ! [X0] : ((tall(X0) & humble(X0)) => (wise(X0) | ~humble(X0))) [input p1]
6. ~calm(alice) <=> ? [X0] : humble(X0) [input p... | 0 |
Everyone who is either not rich or curious is both not brave and not wise. Everyone who is not rich is both calm and not humble. If someone is either not strong or funny then someone is either not patient or tall and vice versa. Everyone who is old or not strong is wise or not calm. Everyone who is either not strong or... | Mary is not tall. | entailment | (![X]:((~rich(X)<~>curious(X))=>(~brave(X)&~wise(X))))&
(![X]:(~rich(X)=>(calm(X)&~humble(X))))&
((?[X]:((~strong(X)<~>funny(X))))<=>(?[X]:((~patient(X)<~>tall(X)))))&
(![X]:((old(X)|~strong(X))=>(wise(X)|~calm(X))))&
(![X]:((~strong(X)<~>happy(X))<=>~quiet(X)))&
(![X]:(humble(X)<=>wise(X)))&
(((~calm(john)&~strong(joh... | ~tall(mary) | [
"p5",
"p9",
"p10",
"p11",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7912883981948102652750083
% SZS output start Proof for 7912883981948102652750083
6. ! [X0] : (humble(X0) <=> wise(X0)) [input p5]
10. ! [X0] : ((~strong(X0) | tall(X0)) => (~strong(X0) | ~kind(X0))) [input p9]
11. ! [X0] : ((~tall(X0) <~> strong(X0)) <=> (~brave(X0) | ~creative(X0))) [inp... | 0 |
Everyone who is either quiet or calm is either funny or not tall and vice versa.
Everyone who is strong is not wise and vice versa.
If lucy is not curious or strong then someone is both brave and curious.
If someone is either generous or not strong then mary is both brave and not calm.
Everyone who is not kind is not c... | Fred is brave. | entailment | (![X]:((quiet(X)<~>calm(X))<=>(funny(X)<~>~tall(X))))&
(![X]:(strong(X)<=>~wise(X)))&
(((~curious(lucy)|strong(lucy)))=>(?[X]:((brave(X)&curious(X)))))&
((?[X]:((generous(X)<~>~strong(X))))=>((brave(mary)&~calm(mary))))&
(![X]:(~kind(X)<=>(~curious(X)|creative(X))))&
(![X]:((rich(X)|humble(X))=>(~tall(X)&~quiet(X))))&
... | brave(fred) | [
"p5",
"p7",
"p9",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6341604236879760082828561
% SZS output start Proof for 6341604236879760082828561
6. ! [X0] : ((humble(X0) | rich(X0)) => (~quiet(X0) & ~tall(X0))) [input p5]
8. ! [X0] : ((creative(X0) | ~brave(X0)) => tall(X0)) [input p7]
10. ? [X0] : (~quiet(X0) | ~creative(X0)) <=> humble(fred) [input ... | 0 |
If alice is both kind and rich then fred is either old or strong and vice versa.
If someone is both calm and happy then alice is both not strong and not rich and vice versa.
Everyone who is not tall is generous or not generous.
If mary is both not generous and patient then someone is either wise or not kind.
Everyone w... | Mary is wise. | contradiction | (((kind(alice)&rich(alice)))<=>((old(fred)<~>strong(fred))))&
((?[X]:((calm(X)&happy(X))))<=>((~strong(alice)&~rich(alice))))&
(![X]:(~tall(X)=>(generous(X)|~generous(X))))&
(((~generous(mary)&patient(mary)))=>(?[X]:((wise(X)<~>~kind(X)))))&
(![X]:((creative(X)|~tall(X))<=>(~brave(X)<~>curious(X))))&
((?[X]:((~calm(X)|... | wise(mary) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8337187939222767225321224
% SZS output start Proof for 8337187939222767225321224
15. ! [X0] : ((wise(X0) | strong(X0)) => (~patient(X0) & ~wise(X0))) [input p14]
25. wise(mary) [input hypothesis]
38. ! [X0] : ((~patient(X0) & ~wise(X0)) | (~wise(X0) & ~strong(X0))) [ennf transformation 15... | 0 |
If paul is either not tall or rich then someone is both humble and not wise and vice versa.
If john is both creative and generous then alice is either happy or funny and vice versa.
Everyone who is patient or brave is not happy or quiet and vice versa.
If lucy is both not happy and not quiet then someone is either not ... | Paul is brave. | neutral | (((~tall(paul)<~>rich(paul)))<=>(?[X]:((humble(X)&~wise(X)))))&
(((creative(john)&generous(john)))<=>((happy(alice)<~>funny(alice))))&
(![X]:((patient(X)|brave(X))<=>(~happy(X)|quiet(X))))&
(((~happy(lucy)&~quiet(lucy)))=>(?[X]:((~funny(X)<~>quiet(X)))))&
((~generous(alice))=>(?[X]:((creative(X)&kind(X)))))&
(![X]:((~h... | brave(paul) | [] | null | 0 |
If john is wise or not calm then someone is both strong and curious.
If someone is either kind or not wise then paul is either patient or happy and vice versa.
Everyone who is curious or not tall is curious or not calm and vice versa.
If someone is not patient or not quiet then someone is calm or not brave.
If someone ... | Susan is not wise. | contradiction | (((wise(john)|~calm(john)))=>(?[X]:((strong(X)&curious(X)))))&
((?[X]:((kind(X)<~>~wise(X))))<=>((patient(paul)<~>happy(paul))))&
(![X]:((curious(X)|~tall(X))<=>(curious(X)|~calm(X))))&
((?[X]:((~patient(X)|~quiet(X))))=>(?[X]:((calm(X)|~brave(X)))))&
((?[X]:((brave(X)|~creative(X))))<=>(?[X]:((brave(X)|quiet(X)))))&
(... | ~wise(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1627552493163669436401803
% SZS output start Proof for 1627552493163669436401803
9. ! [X0] : ((curious(X0) & wise(X0)) <=> (~brave(X0) <~> brave(X0))) [input p8]
23. ~wise(susan) [input hypothesis]
60. ! [X0] : (((curious(X0) & wise(X0)) | ((~brave(X0) | ~brave(X0)) & (brave(X0) | brave(X... | 0 |
Everyone who is both humble and kind is both happy and kind and vice versa.
If fred is either humble or brave then alice is either happy or not tall and vice versa.
If john is calm then someone is happy.
If mary is either happy or not strong then someone is either generous or brave.
Everyone who is either not quiet or ... | Fred is not calm. | entailment | (![X]:((humble(X)&kind(X))<=>(happy(X)&kind(X))))&
(((humble(fred)<~>brave(fred)))<=>((happy(alice)<~>~tall(alice))))&
((calm(john))=>(?[X]:(happy(X))))&
(((happy(mary)<~>~strong(mary)))=>(?[X]:((generous(X)<~>brave(X)))))&
(![X]:((~quiet(X)<~>~humble(X))<=>(~creative(X)|~brave(X))))&
(![X]:((~happy(X)&old(X))=>~brave(... | ~calm(fred) | [
"p4",
"p7",
"p11",
"p12",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1736014975465861828898902
% SZS output start Proof for 1736014975465861828898902
5. ! [X0] : ((~quiet(X0) <~> ~humble(X0)) <=> (~brave(X0) | ~creative(X0))) [input p4]
8. (~wise(john) | rich(john)) => (~humble(fred) & ~generous(fred)) [input p7]
12. ! [X0] : ((wise(X0) | strong(X0)) <=> (... | 0 |
Everyone who is rich or not rich is generous or strong. If fred is both not curious and happy then someone is either not kind or old and vice versa. If someone is both not strong and wise then alice is happy and vice versa. If john is funny or not funny then paul is both not creative and funny. If someone is both kind ... | Alice is happy. | entailment | (![X]:((rich(X)|~rich(X))=>(generous(X)|strong(X))))&
(((~curious(fred)&happy(fred)))<=>(?[X]:((~kind(X)<~>old(X)))))&
((?[X]:((~strong(X)&wise(X))))<=>(happy(alice)))&
(((funny(john)|~funny(john)))=>((~creative(paul)&funny(paul))))&
((?[X]:((kind(X)&~creative(X))))<=>(?[X]:((~kind(X)<~>~wise(X)))))&
(![X]:((~humble(X)... | happy(alice) | [
"p2",
"p3",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7536626487300318407464123
% SZS output start Proof for 7536626487300318407464123
3. ? [X0] : (wise(X0) & ~strong(X0)) <=> happy(alice) [input p2]
4. (~funny(john) | funny(john)) => (funny(paul) & ~creative(paul)) [input p3]
6. ! [X0] : ((~wise(X0) & ~humble(X0)) <=> (~kind(X0) <~> creativ... | 0 |
Everyone who is both humble and strong is not brave or not rich. Everyone who is either not curious or not rich is either not generous or not quiet and vice versa. If alice is both calm and not generous then fred is not tall and vice versa. Everyone who is not brave or not calm is either funny or not rich and vice vers... | Alice is strong. | neutral | (![X]:((humble(X)&strong(X))=>(~brave(X)|~rich(X))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~generous(X)<~>~quiet(X))))&
(((calm(alice)&~generous(alice)))<=>(~tall(fred)))&
(![X]:((~brave(X)|~calm(X))<=>(funny(X)<~>~rich(X))))&
((quiet(fred))=>(?[X]:((~humble(X)|rich(X)))))&
(((~humble(mary)<~>generous(mary)))<=>(?[X]:((f... | strong(alice) | [] | null | 0 |
If someone is either not rich or not kind then mary is either not funny or not kind. If alice is either creative or not curious then someone is happy and vice versa. If someone is calm or not curious then someone is not wise. If someone is not quiet then fred is not quiet or calm. Everyone who is both tall and not brav... | Alice is not curious. | contradiction | ((?[X]:((~rich(X)<~>~kind(X))))=>((~funny(mary)<~>~kind(mary))))&
(((creative(alice)<~>~curious(alice)))<=>(?[X]:(happy(X))))&
((?[X]:((calm(X)|~curious(X))))=>(?[X]:(~wise(X))))&
((?[X]:(~quiet(X)))=>((~quiet(fred)|calm(fred))))&
(![X]:((tall(X)&~brave(X))=>(kind(X)&~humble(X))))&
(![X]:((~old(X)&curious(X))=>(~strong... | ~curious(alice) | [
"p1",
"p6",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8145071611945216961144236
% SZS output start Proof for 8145071611945216961144236
2. (creative(alice) <~> ~curious(alice)) <=> ? [X0] : happy(X0) [input p1]
7. ! [X0] : ((creative(X0) | ~rich(X0)) <=> (rich(X0) & old(X0))) [input p6]
11. ! [X0] : (rich(X0) => old(X0)) [input p10]
19. ? [X0... | 0 |
If someone is either not patient or curious then mary is both happy and curious.
If someone is generous then susan is not creative or not strong.
Everyone who is either funny or old is either not rich or tall and vice versa.
If someone is both not patient and not humble then alice is not brave.
If fred is humble then s... | Alice is strong. | entailment | ((?[X]:((~patient(X)<~>curious(X))))=>((happy(mary)&curious(mary))))&
((?[X]:(generous(X)))=>((~creative(susan)|~strong(susan))))&
(![X]:((funny(X)<~>old(X))<=>(~rich(X)<~>tall(X))))&
((?[X]:((~patient(X)&~humble(X))))=>(~brave(alice)))&
((humble(fred))=>(?[X]:(~creative(X))))&
(![X]:((~strong(X)|funny(X))=>(strong(X)&... | strong(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7573361024851565071115302
% SZS output start Proof for 7573361024851565071115302
6. ! [X0] : ((funny(X0) | ~strong(X0)) => (funny(X0) & strong(X0))) [input p5]
25. ~strong(alice) [input hypothesis]
33. ! [X0] : ((funny(X0) & strong(X0)) | (~funny(X0) & strong(X0))) [ennf transformation 6]... | 0 |
If someone is happy then someone is kind or not wise.
If alice is not wise then someone is not happy or rich.
Everyone who is both not old and rich is wise or not rich and vice versa.
Everyone who is either not calm or quiet is either not humble or wise and vice versa.
Everyone who is either not humble or not happy is ... | John is not generous. | neutral | ((?[X]:(happy(X)))=>(?[X]:((kind(X)|~wise(X)))))&
((~wise(alice))=>(?[X]:((~happy(X)|rich(X)))))&
(![X]:((~old(X)&rich(X))<=>(wise(X)|~rich(X))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~humble(X)<~>wise(X))))&
(![X]:((~humble(X)<~>~happy(X))=>(~wise(X)&~brave(X))))&
(((quiet(paul)|~generous(paul)))<=>((~calm(mary)<~>~quiet(m... | ~generous(john) | [] | null | 0 |
Everyone who is not wise is both not wise and not humble and vice versa.
Everyone who is either not rich or not quiet is either wise or brave.
Everyone who is either not calm or not strong is curious or old and vice versa.
Everyone who is humble is either funny or humble and vice versa.
If alice is either brave or not ... | Mary is not rich. | neutral | (![X]:(~wise(X)<=>(~wise(X)&~humble(X))))&
(![X]:((~rich(X)<~>~quiet(X))=>(wise(X)<~>brave(X))))&
(![X]:((~calm(X)<~>~strong(X))<=>(curious(X)|old(X))))&
(![X]:(humble(X)<=>(funny(X)<~>humble(X))))&
(((brave(alice)<~>~generous(alice)))=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|~wise(X))<=>(patient(X)<~>~old(X))))&
(![X]:(... | ~rich(mary) | [] | null | 0 |
If someone is both not patient and not curious then someone is either not generous or patient. Everyone who is wise or curious is not patient and vice versa. Everyone who is not old or old is either not creative or not old and vice versa. If someone is happy then someone is both tall and not patient. Everyone who is ei... | Lucy is not rich. | entailment | ((?[X]:((~patient(X)&~curious(X))))=>(?[X]:((~generous(X)<~>patient(X)))))&
(![X]:((wise(X)|curious(X))<=>~patient(X)))&
(![X]:((~old(X)|old(X))<=>(~creative(X)<~>~old(X))))&
((?[X]:(happy(X)))=>(?[X]:((tall(X)&~patient(X)))))&
(![X]:((creative(X)<~>old(X))<=>~quiet(X)))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~brave... | ~rich(lucy) | [
"p2",
"p4",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7805653202930539753693056
% SZS output start Proof for 7805653202930539753693056
3. ! [X0] : ((old(X0) | ~old(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p2]
5. ! [X0] : ((creative(X0) <~> old(X0)) <=> ~quiet(X0)) [input p4]
16. ! [X0] : (rich(X0) => (quiet(X0) | ~rich(X0))) [input p15]... | 0 |
Everyone who is humble is brave and vice versa.
If someone is not rich then alice is strong or not kind and vice versa.
Everyone who is tall is not funny or funny.
Everyone who is either patient or not generous is both humble and patient.
If someone is not kind or tall then someone is both not happy and quiet and vice ... | Fred is not creative. | neutral | (![X]:(humble(X)<=>brave(X)))&
((?[X]:(~rich(X)))<=>((strong(alice)|~kind(alice))))&
(![X]:(tall(X)=>(~funny(X)|funny(X))))&
(![X]:((patient(X)<~>~generous(X))=>(humble(X)&patient(X))))&
((?[X]:((~kind(X)|tall(X))))<=>(?[X]:((~happy(X)&quiet(X)))))&
(((~brave(alice)<~>old(alice)))<=>(?[X]:((~humble(X)<~>brave(X)))))&
(... | ~creative(fred) | [] | null | 0 |
Everyone who is both strong and not rich is not calm or not brave.
If mary is not generous then someone is both kind and brave and vice versa.
Everyone who is tall is creative or kind.
Everyone who is both not happy and brave is either brave or curious and vice versa.
If john is either rich or not tall then mary is eit... | Mary is rich. | neutral | (![X]:((strong(X)&~rich(X))=>(~calm(X)|~brave(X))))&
((~generous(mary))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:(tall(X)=>(creative(X)|kind(X))))&
(![X]:((~happy(X)&brave(X))<=>(brave(X)<~>curious(X))))&
(((rich(john)<~>~tall(john)))=>((generous(mary)<~>creative(mary))))&
((rich(paul))<=>(?[X]:((~tall(X)&wise(X)))))&
(![... | rich(mary) | [] | null | 0 |
Everyone who is not wise or patient is either not old or not curious and vice versa. Everyone who is generous is either strong or not tall. If lucy is humble then susan is both not funny and not generous and vice versa. Everyone who is both quiet and not funny is patient or tall and vice versa. Everyone who is not wise... | Lucy is wise. | neutral | (![X]:((~wise(X)|patient(X))<=>(~old(X)<~>~curious(X))))&
(![X]:(generous(X)=>(strong(X)<~>~tall(X))))&
((humble(lucy))<=>((~funny(susan)&~generous(susan))))&
(![X]:((quiet(X)&~funny(X))<=>(patient(X)|tall(X))))&
(![X]:(~wise(X)=>(~rich(X)<~>old(X))))&
(((wise(lucy)<~>~brave(lucy)))<=>((creative(john)<~>~creative(john)... | wise(lucy) | [] | null | 0 |
If someone is calm or happy then someone is both strong and not curious and vice versa.
Everyone who is not funny is not generous or not old and vice versa.
Everyone who is not tall is both generous and not old and vice versa.
Everyone who is curious is both quiet and generous.
If fred is not kind then someone is eithe... | Fred is not patient. | entailment | ((?[X]:((calm(X)|happy(X))))<=>(?[X]:((strong(X)&~curious(X)))))&
(![X]:(~funny(X)<=>(~generous(X)|~old(X))))&
(![X]:(~tall(X)<=>(generous(X)&~old(X))))&
(![X]:(curious(X)=>(quiet(X)&generous(X))))&
((~kind(fred))<=>(?[X]:((~patient(X)<~>~happy(X)))))&
(![X]:((~old(X)<~>strong(X))<=>~old(X)))&
(![X]:(~old(X)=>(wise(X)<... | ~patient(fred) | [
"p0",
"p2",
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 340783959872716388665823
% SZS output start Proof for 340783959872716388665823
1. ? [X0] : (happy(X0) | calm(X0)) <=> ? [X0] : (~curious(X0) & strong(X0)) [input p0]
3. ! [X0] : (~tall(X0) <=> (~old(X0) & generous(X0))) [input p2]
6. ! [X0] : ((~old(X0) <~> strong(X0)) <=> ~old(X0)) [inpu... | 0 |
Everyone who is kind is not generous.
Everyone who is humble or curious is kind.
Everyone who is both creative and not patient is either not happy or calm.
If someone is both not tall and creative then someone is strong or old.
Everyone who is both not creative and tall is not happy and vice versa.
If alice is not curi... | Alice is curious. | neutral | (![X]:(kind(X)=>~generous(X)))&
(![X]:((humble(X)|curious(X))=>kind(X)))&
(![X]:((creative(X)&~patient(X))=>(~happy(X)<~>calm(X))))&
((?[X]:((~tall(X)&creative(X))))=>(?[X]:((strong(X)|old(X)))))&
(![X]:((~creative(X)&tall(X))<=>~happy(X)))&
(((~curious(alice)|~brave(alice)))<=>(?[X]:((~quiet(X)<~>~strong(X)))))&
((?[X... | curious(alice) | [] | null | 0 |
Everyone who is happy or curious is either rich or not brave and vice versa. Everyone who is both not patient and not kind is not strong and vice versa. Everyone who is patient or rich is curious. If paul is either kind or not tall then someone is both humble and not curious. Everyone who is either not patient or quiet... | Susan is curious. | neutral | (![X]:((happy(X)|curious(X))<=>(rich(X)<~>~brave(X))))&
(![X]:((~patient(X)&~kind(X))<=>~strong(X)))&
(![X]:((patient(X)|rich(X))=>curious(X)))&
(((kind(paul)<~>~tall(paul)))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((~patient(X)<~>quiet(X))<=>(wise(X)|humble(X))))&
(![X]:(~strong(X)=>~old(X)))&
(![X]:((strong(X)<~>ta... | curious(susan) | [] | null | 0 |
If someone is not funny then someone is both not funny and not strong and vice versa.
If someone is either wise or generous then someone is either not tall or not humble.
Everyone who is both not curious and not old is not creative or humble and vice versa.
Everyone who is not strong is tall and vice versa.
If susan is... | Alice is not funny. | contradiction | ((?[X]:(~funny(X)))<=>(?[X]:((~funny(X)&~strong(X)))))&
((?[X]:((wise(X)<~>generous(X))))=>(?[X]:((~tall(X)<~>~humble(X)))))&
(![X]:((~curious(X)&~old(X))<=>(~creative(X)|humble(X))))&
(![X]:(~strong(X)<=>tall(X)))&
((generous(susan))<=>(wise(susan)))&
(((patient(john)&humble(john)))<=>(?[X]:((~strong(X)<~>funny(X)))))... | ~funny(alice) | [
"p6",
"p7",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8272292749060428198973297
% SZS output start Proof for 8272292749060428198973297
7. ! [X0] : ((~wise(X0) | ~humble(X0)) => (~tall(X0) & humble(X0))) [input p6]
8. ! [X0] : ((~funny(X0) | quiet(X0)) <=> brave(X0)) [input p7]
11. ! [X0] : ((~humble(X0) | humble(X0)) <=> (~strong(X0) & ~brav... | 0 |
If someone is not rich or not old then paul is either not funny or curious and vice versa. Everyone who is curious or not tall is either humble or wise. Everyone who is both not patient and not quiet is not quiet. Everyone who is both not creative and kind is both rich and not old. Everyone who is either not patient or... | Paul is not patient. | entailment | ((?[X]:((~rich(X)|~old(X))))<=>((~funny(paul)<~>curious(paul))))&
(![X]:((curious(X)|~tall(X))=>(humble(X)<~>wise(X))))&
(![X]:((~patient(X)&~quiet(X))=>~quiet(X)))&
(![X]:((~creative(X)&kind(X))=>(rich(X)&~old(X))))&
(![X]:((~patient(X)<~>quiet(X))<=>(brave(X)&curious(X))))&
(![X]:(curious(X)=>(~brave(X)|~generous(X))... | ~patient(paul) | [
"p4",
"p5",
"p6",
"p7",
"p8",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4116793696402303378179398
% SZS output start Proof for 4116793696402303378179398
5. ! [X0] : ((~patient(X0) <~> quiet(X0)) <=> (curious(X0) & brave(X0))) [input p4]
6. ! [X0] : (curious(X0) => (~generous(X0) | ~brave(X0))) [input p5]
7. ! [X0] : ((~generous(X0) <~> curious(X0)) <=> (funny... | 0 |
Everyone who is not curious or rich is old and vice versa.
Everyone who is either not brave or calm is funny or not rich.
Everyone who is both not funny and curious is either not generous or creative.
If alice is both not funny and calm then someone is not curious or not generous.
If someone is not funny then paul is n... | Paul is not kind. | entailment | (![X]:((~curious(X)|rich(X))<=>old(X)))&
(![X]:((~brave(X)<~>calm(X))=>(funny(X)|~rich(X))))&
(![X]:((~funny(X)&curious(X))=>(~generous(X)<~>creative(X))))&
(((~funny(alice)&calm(alice)))=>(?[X]:((~curious(X)|~generous(X)))))&
((?[X]:(~funny(X)))<=>((~tall(paul)|wise(paul))))&
((~patient(lucy))<=>((brave(john)<~>~patie... | ~kind(paul) | [
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 141516381272431926899667
% SZS output start Proof for 141516381272431926899667
16. ! [X0] : ((~calm(X0) <~> calm(X0)) <=> brave(X0)) [input p15]
20. ~brave(paul) <~> ~kind(paul) [input p19]
25. kind(paul) [input hypothesis]
70. ! [X0] : ((((~calm(X0) | calm(X0)) & (calm(X0) | ~calm(X0))) ... | 0 |
If someone is not rich or not kind then someone is either not strong or kind and vice versa.
Everyone who is happy or not funny is funny or not calm.
Everyone who is both not strong and funny is happy or not generous and vice versa.
If someone is either not curious or not funny then someone is not rich and vice versa.
... | Paul is not strong. | neutral | ((?[X]:((~rich(X)|~kind(X))))<=>(?[X]:((~strong(X)<~>kind(X)))))&
(![X]:((happy(X)|~funny(X))=>(funny(X)|~calm(X))))&
(![X]:((~strong(X)&funny(X))<=>(happy(X)|~generous(X))))&
((?[X]:((~curious(X)<~>~funny(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~wise(X)<~>tall(X))<=>(creative(X)&~brave(X))))&
(![X]:((~funny(X)<~>~calm(X))... | ~strong(paul) | [] | null | 0 |
If john is both generous and old then mary is strong and vice versa.
If paul is both kind and brave then mary is calm.
If john is not happy then mary is both happy and not quiet.
If alice is both wise and not kind then alice is both happy and quiet and vice versa.
If someone is calm then someone is either quiet or wise... | Mary is strong. | contradiction | (((generous(john)&old(john)))<=>(strong(mary)))&
(((kind(paul)&brave(paul)))=>(calm(mary)))&
((~happy(john))=>((happy(mary)&~quiet(mary))))&
(((wise(alice)&~kind(alice)))<=>((happy(alice)&quiet(alice))))&
((?[X]:(calm(X)))<=>(?[X]:((quiet(X)<~>wise(X)))))&
(![X]:((brave(X)|~strong(X))<=>(generous(X)&~creative(X))))&
((... | strong(mary) | [
"p0",
"p3",
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7406375086864346060304310
% SZS output start Proof for 7406375086864346060304310
1. (old(john) & generous(john)) <=> strong(mary) [input p0]
4. (~kind(alice) & wise(alice)) <=> (quiet(alice) & happy(alice)) [input p3]
6. ! [X0] : ((~strong(X0) | brave(X0)) <=> (~creative(X0) & generous(X0... | 0 |
If mary is both quiet and calm then susan is brave.
If susan is not wise then someone is either not brave or not funny and vice versa.
Everyone who is both not patient and not old is both tall and not humble.
If someone is either old or quiet then susan is not brave or not kind and vice versa.
Everyone who is both pati... | Paul is funny. | entailment | (((quiet(mary)&calm(mary)))=>(brave(susan)))&
((~wise(susan))<=>(?[X]:((~brave(X)<~>~funny(X)))))&
(![X]:((~patient(X)&~old(X))=>(tall(X)&~humble(X))))&
((?[X]:((old(X)<~>quiet(X))))<=>((~brave(susan)|~kind(susan))))&
(![X]:((patient(X)&~funny(X))<=>(~funny(X)<~>~calm(X))))&
((~calm(paul))<=>((curious(paul)|patient(pau... | funny(paul) | [
"p4",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 6422761343601189790219896
% SZS output start Proof for 6422761343601189790219896
5. ! [X0] : ((~funny(X0) & patient(X0)) <=> (~funny(X0) <~> ~calm(X0))) [input p4]
6. ~calm(paul) <=> (patient(paul) | curious(paul)) [input p5]
11. ! [X0] : ((patient(X0) | ~patient(X0)) => (~generous(X0) & ... | 0 |
If someone is old or wise then alice is calm. Everyone who is either not kind or not happy is either not quiet or old and vice versa. If someone is not old then susan is not funny. If mary is patient then someone is not calm and vice versa. If john is either not happy or rich then someone is old or not strong and vice ... | John is funny. | entailment | ((?[X]:((old(X)|wise(X))))=>(calm(alice)))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>(~funny(X)&rich(X))))&
(![X]:((~quiet(X)<~>calm(X... | funny(john) | [
"p1",
"p2",
"p4",
"p5",
"p6",
"p9",
"p10",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3352465436821140945475700
% SZS output start Proof for 3352465436821140945475700
2. ! [X0] : ((~kind(X0) <~> ~happy(X0)) <=> (~quiet(X0) <~> old(X0))) [input p1]
3. ? [X0] : ~old(X0) => ~funny(susan) [input p2]
5. (~happy(john) <~> rich(john)) <=> ? [X0] : (~strong(X0) | old(X0)) [input p... | 0 |
Everyone who is either not rich or not humble is either not tall or creative.
Everyone who is both not brave and not rich is not humble and vice versa.
If someone is either kind or not calm then susan is either not patient or not quiet.
If john is either not old or strong then someone is quiet.
Everyone who is either n... | Alice is not curious. | contradiction | (![X]:((~rich(X)<~>~humble(X))=>(~tall(X)<~>creative(X))))&
(![X]:((~brave(X)&~rich(X))<=>~humble(X)))&
((?[X]:((kind(X)<~>~calm(X))))=>((~patient(susan)<~>~quiet(susan))))&
(((~old(john)<~>strong(john)))=>(?[X]:(quiet(X))))&
(![X]:((~generous(X)<~>~rich(X))=>(quiet(X)&curious(X))))&
(![X]:((~creative(X)<~>~patient(X))... | ~curious(alice) | [
"p1",
"p4",
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1103830330184933042299790
% SZS output start Proof for 1103830330184933042299790
2. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> ~humble(X0)) [input p1]
5. ! [X0] : ((~generous(X0) <~> ~rich(X0)) => (curious(X0) & quiet(X0))) [input p4]
6. ! [X0] : ((~creative(X0) <~> ~patient(X0)) <=> (funny(X... | 0 |
If lucy is wise then mary is either brave or not happy.
If john is calm then someone is both not quiet and not old and vice versa.
If someone is funny then someone is quiet or calm and vice versa.
Everyone who is not creative is not humble or not tall and vice versa.
Everyone who is not quiet or not generous is either ... | Lucy is creative. | entailment | ((wise(lucy))=>((brave(mary)<~>~happy(mary))))&
((calm(john))<=>(?[X]:((~quiet(X)&~old(X)))))&
((?[X]:(funny(X)))<=>(?[X]:((quiet(X)|calm(X)))))&
(![X]:(~creative(X)<=>(~humble(X)|~tall(X))))&
(![X]:((~quiet(X)|~generous(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((~generous(X)<~>~happy(X))<=>(patient(X)<~>~generous(X))... | creative(lucy) | [
"p2",
"p10",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2859231380973372858505118
% SZS output start Proof for 2859231380973372858505118
3. ? [X0] : funny(X0) <=> ? [X0] : (calm(X0) | quiet(X0)) [input p2]
11. ! [X0] : (brave(X0) <=> (strong(X0) | patient(X0))) [input p10]
14. ? [X0] : (creative(X0) | ~patient(X0)) => (creative(lucy) & funny(l... | 0 |
Everyone who is happy is not funny and vice versa.
Everyone who is not curious is not tall.
If lucy is not brave or not calm then someone is not rich and vice versa.
Everyone who is both curious and not patient is either not brave or not funny.
If alice is both brave and not patient then fred is either not quiet or not... | Lucy is not tall. | entailment | (![X]:(happy(X)<=>~funny(X)))&
(![X]:(~curious(X)=>~tall(X)))&
(((~brave(lucy)|~calm(lucy)))<=>(?[X]:(~rich(X))))&
(![X]:((curious(X)&~patient(X))=>(~brave(X)<~>~funny(X))))&
(((brave(alice)&~patient(alice)))<=>((~quiet(fred)<~>~tall(fred))))&
(((funny(alice)<~>~old(alice)))<=>((brave(mary)<~>generous(mary))))&
((?[X]:... | ~tall(lucy) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 892077493894988376400242
% SZS output start Proof for 892077493894988376400242
2. ! [X0] : (~curious(X0) => ~tall(X0)) [input p1]
20. ~curious(lucy) & calm(lucy) [input p19]
25. tall(lucy) [input hypothesis]
28. ! [X0] : (~tall(X0) | curious(X0)) [ennf transformation 2]
67. ~tall(X0) | cu... | 0 |
Everyone who is either tall or calm is both curious and not kind and vice versa. If someone is creative then someone is not humble and vice versa. If someone is either not quiet or wise then someone is both rich and not quiet and vice versa. Everyone who is not old or tall is both happy and not calm and vice versa. Eve... | Lucy is not funny. | contradiction | (![X]:((tall(X)<~>calm(X))<=>(curious(X)&~kind(X))))&
((?[X]:(creative(X)))<=>(?[X]:(~humble(X))))&
((?[X]:((~quiet(X)<~>wise(X))))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((~old(X)|tall(X))<=>(happy(X)&~calm(X))))&
(![X]:((old(X)<~>~kind(X))=>(kind(X)&patient(X))))&
(![X]:(strong(X)=>(~funny(X)<~>~curious(X))))&
(![X]:... | ~funny(lucy) | [
"p1",
"p3",
"p6",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 287038685061099257720
% SZS output start Proof for 287038685061099257720
2. ? [X0] : creative(X0) <=> ? [X0] : ~humble(X0) [input p1]
4. ! [X0] : ((tall(X0) | ~old(X0)) <=> (~calm(X0) & happy(X0))) [input p3]
7. ! [X0] : ((~rich(X0) | ~calm(X0)) <=> ~tall(X0)) [input p6]
8. ? [X0] : (tall... | 0 |
Everyone who is curious or not kind is both not humble and not happy and vice versa.
Everyone who is both brave and not old is either calm or not curious and vice versa.
If someone is either not creative or tall then mary is generous.
Everyone who is either generous or not generous is humble or not kind.
Everyone who i... | Paul is rich. | entailment | (![X]:((curious(X)|~kind(X))<=>(~humble(X)&~happy(X))))&
(![X]:((brave(X)&~old(X))<=>(calm(X)<~>~curious(X))))&
((?[X]:((~creative(X)<~>tall(X))))=>(generous(mary)))&
(![X]:((generous(X)<~>~generous(X))=>(humble(X)|~kind(X))))&
(![X]:(~happy(X)<=>~strong(X)))&
(![X]:(calm(X)=>(calm(X)&~strong(X))))&
(![X]:((kind(X)<~>t... | rich(paul) | [
"p0",
"p5",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4194406725524788614982526
% SZS output start Proof for 4194406725524788614982526
1. ! [X0] : ((~kind(X0) | curious(X0)) <=> (~happy(X0) & ~humble(X0))) [input p0]
6. ! [X0] : (calm(X0) => (~strong(X0) & calm(X0))) [input p5]
9. ! [X0] : ((~tall(X0) | ~kind(X0)) <=> (happy(X0) & ~generous(... | 0 |
Everyone who is tall is not rich.
Everyone who is quiet or old is either happy or not strong and vice versa.
Everyone who is both not patient and not creative is not rich and vice versa.
If lucy is either happy or generous then someone is patient or not curious.
Everyone who is strong or tall is old.
If lucy is either ... | Alice is not happy. | entailment | (![X]:(tall(X)=>~rich(X)))&
(![X]:((quiet(X)|old(X))<=>(happy(X)<~>~strong(X))))&
(![X]:((~patient(X)&~creative(X))<=>~rich(X)))&
(((happy(lucy)<~>generous(lucy)))=>(?[X]:((patient(X)|~curious(X)))))&
(![X]:((strong(X)|tall(X))=>old(X)))&
(((~funny(lucy)<~>kind(lucy)))<=>(calm(fred)))&
(![X]:((calm(X)&happy(X))=>(~old(... | ~happy(alice) | [
"p1",
"p4",
"p8",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1747284445600702218153362
% SZS output start Proof for 1747284445600702218153362
2. ! [X0] : ((old(X0) | quiet(X0)) <=> (happy(X0) <~> ~strong(X0))) [input p1]
5. ! [X0] : ((tall(X0) | strong(X0)) => old(X0)) [input p4]
9. ! [X0] : (~old(X0) <=> strong(X0)) [input p8]
12. ! [X0] : ((~crea... | 0 |
Everyone who is wise is funny and vice versa.
If someone is brave then someone is brave or wise.
Everyone who is generous or not patient is not kind or wise.
If lucy is not wise or kind then someone is either not happy or not funny.
Everyone who is both not calm and humble is generous and vice versa.
If john is rich th... | John is not tall. | entailment | (![X]:(wise(X)<=>funny(X)))&
((?[X]:(brave(X)))=>(?[X]:((brave(X)|wise(X)))))&
(![X]:((generous(X)|~patient(X))=>(~kind(X)|wise(X))))&
(((~wise(lucy)|kind(lucy)))=>(?[X]:((~happy(X)<~>~funny(X)))))&
(![X]:((~calm(X)&humble(X))<=>generous(X)))&
((rich(john))<=>(?[X]:((~curious(X)|funny(X)))))&
(![X]:((~patient(X)&happy(... | ~tall(john) | [
"p0",
"p4",
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8637921696795843281987435
% SZS output start Proof for 8637921696795843281987435
1. ! [X0] : (wise(X0) <=> funny(X0)) [input p0]
5. ! [X0] : ((humble(X0) & ~calm(X0)) <=> generous(X0)) [input p4]
8. ? [X0] : (~funny(X0) & ~quiet(X0)) <=> ? [X0] : patient(X0) [input p7]
9. ! [X0] : (~calm(... | 0 |
If someone is both not calm and not rich then paul is either not old or funny and vice versa. If someone is not quiet then alice is happy or not patient and vice versa. Everyone who is either not funny or not brave is not calm or not quiet and vice versa. Everyone who is tall or funny is both not calm and not patient. ... | Paul is not patient. | neutral | ((?[X]:((~calm(X)&~rich(X))))<=>((~old(paul)<~>funny(paul))))&
((?[X]:(~quiet(X)))<=>((happy(alice)|~patient(alice))))&
(![X]:((~funny(X)<~>~brave(X))<=>(~calm(X)|~quiet(X))))&
(![X]:((tall(X)|funny(X))=>(~calm(X)&~patient(X))))&
(![X]:((quiet(X)&~funny(X))<=>(~rich(X)&~funny(X))))&
(![X]:((wise(X)&tall(X))<=>(~calm(X)... | ~patient(paul) | [] | null | 0 |
If susan is not humble then paul is patient and vice versa. Everyone who is either happy or not old is both not happy and not quiet. Everyone who is old is either not kind or not quiet and vice versa. Everyone who is wise is both not strong and not calm. Everyone who is happy is not strong or patient and vice versa. If... | Alice is not patient. | contradiction | ((~humble(susan))<=>(patient(paul)))&
(![X]:((happy(X)<~>~old(X))=>(~happy(X)&~quiet(X))))&
(![X]:(old(X)<=>(~kind(X)<~>~quiet(X))))&
(![X]:(wise(X)=>(~strong(X)&~calm(X))))&
(![X]:(happy(X)<=>(~strong(X)|patient(X))))&
(((quiet(lucy)&kind(lucy)))=>((~calm(lucy)|kind(lucy))))&
(![X]:((~quiet(X)<~>~wise(X))<=>(~funny(X)... | ~patient(alice) | [
"p3",
"p6",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 214219618565971539977765
% SZS output start Proof for 214219618565971539977765
4. ! [X0] : (wise(X0) => (~calm(X0) & ~strong(X0))) [input p3]
7. ! [X0] : ((~quiet(X0) <~> ~wise(X0)) <=> (~funny(X0) <~> quiet(X0))) [input p6]
9. ! [X0] : ((generous(X0) & ~funny(X0)) <=> ~patient(X0)) [inpu... | 0 |
Everyone who is kind is both not calm and wise.
If someone is not strong then someone is strong or not rich.
Everyone who is both not curious and not strong is not funny or quiet and vice versa.
Everyone who is not curious or humble is not kind.
If someone is generous then lucy is generous or not happy.
Everyone who is... | Mary is not happy. | neutral | (![X]:(kind(X)=>(~calm(X)&wise(X))))&
((?[X]:(~strong(X)))=>(?[X]:((strong(X)|~rich(X)))))&
(![X]:((~curious(X)&~strong(X))<=>(~funny(X)|quiet(X))))&
(![X]:((~curious(X)|humble(X))=>~kind(X)))&
((?[X]:(generous(X)))=>((generous(lucy)|~happy(lucy))))&
(![X]:((kind(X)|wise(X))<=>brave(X)))&
((?[X]:(curious(X)))=>((kind(f... | ~happy(mary) | [] | null | 0 |
Everyone who is either curious or not tall is not tall. If someone is either old or not quiet then mary is either funny or not strong. Everyone who is both wise and creative is either not generous or not happy and vice versa. If someone is not strong then someone is creative or tall. Everyone who is either old or not b... | Susan is not kind. | neutral | (![X]:((curious(X)<~>~tall(X))=>~tall(X)))&
((?[X]:((old(X)<~>~quiet(X))))=>((funny(mary)<~>~strong(mary))))&
(![X]:((wise(X)&creative(X))<=>(~generous(X)<~>~happy(X))))&
((?[X]:(~strong(X)))=>(?[X]:((creative(X)|tall(X)))))&
(![X]:((old(X)<~>~brave(X))=>(~happy(X)&kind(X))))&
((?[X]:((wise(X)<~>curious(X))))=>(?[X]:((... | ~kind(susan) | [] | null | 0 |
If someone is both not happy and wise then someone is humble. Everyone who is creative is either old or curious and vice versa. Everyone who is both not patient and humble is either not funny or strong and vice versa. If john is either rich or not rich then alice is kind or not kind and vice versa. If someone is calm t... | Paul is not kind. | contradiction | ((?[X]:((~happy(X)&wise(X))))=>(?[X]:(humble(X))))&
(![X]:(creative(X)<=>(old(X)<~>curious(X))))&
(![X]:((~patient(X)&humble(X))<=>(~funny(X)<~>strong(X))))&
(((rich(john)<~>~rich(john)))<=>((kind(alice)|~kind(alice))))&
((?[X]:(calm(X)))=>(?[X]:((~curious(X)&tall(X)))))&
(((~quiet(susan)|~calm(susan)))=>((~old(paul)<~... | ~kind(paul) | [
"p4",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6613429999864631022997287
% SZS output start Proof for 6613429999864631022997287
5. ? [X0] : calm(X0) => ? [X0] : (tall(X0) & ~curious(X0)) [input p4]
11. ! [X0] : ((~patient(X0) & ~creative(X0)) <=> (curious(X0) <~> ~curious(X0))) [input p10]
14. ? [X0] : (tall(X0) <~> curious(X0)) <=> (... | 0 |
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