premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If susan is not wise then fred is either not curious or funny.
If alice is not quiet then someone is happy and vice versa.
Everyone who is not wise or generous is either not rich or not old.
If someone is quiet then paul is happy and vice versa.
Everyone who is not humble is both not happy and not curious and vice vers... | Susan is humble. | entailment | ((~wise(susan))=>((~curious(fred)<~>funny(fred))))&
((~quiet(alice))<=>(?[X]:(happy(X))))&
(![X]:((~wise(X)|generous(X))=>(~rich(X)<~>~old(X))))&
((?[X]:(quiet(X)))<=>(happy(paul)))&
(![X]:(~humble(X)<=>(~happy(X)&~curious(X))))&
((?[X]:((~rich(X)&~quiet(X))))<=>(?[X]:((~creative(X)|patient(X)))))&
((?[X]:((wise(X)|hum... | humble(susan) | [
"p2",
"p4",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2566675091507839672790
% SZS output start Proof for 2566675091507839672790
3. ! [X0] : ((generous(X0) | ~wise(X0)) => (~rich(X0) <~> ~old(X0))) [input p2]
5. ! [X0] : (~humble(X0) <=> (~curious(X0) & ~happy(X0))) [input p4]
13. ! [X0] : ((calm(X0) <~> generous(X0)) <=> (curious(X0) <~> ge... | 0 |
Everyone who is both not quiet and generous is not calm. Everyone who is not strong is kind or old and vice versa. Everyone who is kind or old is quiet and vice versa. Everyone who is both not humble and funny is either not generous or creative and vice versa. Everyone who is funny or generous is not quiet. If someone ... | Mary is not quiet. | neutral | (![X]:((~quiet(X)&generous(X))=>~calm(X)))&
(![X]:(~strong(X)<=>(kind(X)|old(X))))&
(![X]:((kind(X)|old(X))<=>quiet(X)))&
(![X]:((~humble(X)&funny(X))<=>(~generous(X)<~>creative(X))))&
(![X]:((funny(X)|generous(X))=>~quiet(X)))&
((?[X]:((tall(X)<~>kind(X))))=>(calm(fred)))&
(![X]:((wise(X)|~patient(X))=>~generous(X)))&... | ~quiet(mary) | [] | null | 0 |
Everyone who is either not creative or creative is humble or not curious and vice versa. Everyone who is both generous and creative is not humble and vice versa. Everyone who is not patient or strong is both creative and rich. Everyone who is strong is both not funny and not rich. If alice is humble or quiet then someo... | Alice is not calm. | neutral | (![X]:((~creative(X)<~>creative(X))<=>(humble(X)|~curious(X))))&
(![X]:((generous(X)&creative(X))<=>~humble(X)))&
(![X]:((~patient(X)|strong(X))=>(creative(X)&rich(X))))&
(![X]:(strong(X)=>(~funny(X)&~rich(X))))&
(((humble(alice)|quiet(alice)))<=>(?[X]:(creative(X))))&
(![X]:((~old(X)&old(X))=>(generous(X)|curious(X)))... | ~calm(alice) | [] | null | 0 |
Everyone who is not calm or curious is both not curious and not funny.
If someone is humble then mary is either not rich or tall and vice versa.
Everyone who is happy is either calm or brave.
Everyone who is either not old or not happy is both not brave and not old.
If someone is humble then someone is either funny or ... | Mary is happy. | entailment | (![X]:((~calm(X)|curious(X))=>(~curious(X)&~funny(X))))&
((?[X]:(humble(X)))<=>((~rich(mary)<~>tall(mary))))&
(![X]:(happy(X)=>(calm(X)<~>brave(X))))&
(![X]:((~old(X)<~>~happy(X))=>(~brave(X)&~old(X))))&
((?[X]:(humble(X)))=>(?[X]:((funny(X)<~>humble(X)))))&
(((~quiet(susan)<~>~funny(susan)))<=>((~humble(lucy)|funny(lu... | happy(mary) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2272415571095094669330579
% SZS output start Proof for 2272415571095094669330579
13. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> (happy(X0) & patient(X0))) [input p12]
25. ~happy(mary) [input hypothesis]
60. ! [X0] : ((((~humble(X0) | humble(X0)) & (humble(X0) | ~humble(X0))) | (~happy(X0)... | 0 |
If lucy is kind then susan is not patient or calm.
If lucy is rich then someone is both not humble and not old.
Everyone who is not strong or not kind is not humble and vice versa.
If susan is both brave and not rich then someone is wise or tall and vice versa.
Everyone who is either not humble or calm is either not fu... | John is not tall. | entailment | ((kind(lucy))=>((~patient(susan)|calm(susan))))&
((rich(lucy))=>(?[X]:((~humble(X)&~old(X)))))&
(![X]:((~strong(X)|~kind(X))<=>~humble(X)))&
(((brave(susan)&~rich(susan)))<=>(?[X]:((wise(X)|tall(X)))))&
(![X]:((~humble(X)<~>calm(X))<=>(~funny(X)<~>~wise(X))))&
(![X]:((humble(X)&kind(X))<=>~kind(X)))&
((?[X]:((brave(X)&... | ~tall(john) | [
"p3",
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7808229075717756014387496
% SZS output start Proof for 7808229075717756014387496
4. (~rich(susan) & brave(susan)) <=> ? [X0] : (tall(X0) | wise(X0)) [input p3]
6. ! [X0] : ((kind(X0) & humble(X0)) <=> ~kind(X0)) [input p5]
10. (patient(susan) | brave(susan)) => (kind(mary) & humble(mary))... | 0 |
If someone is either not quiet or creative then john is either tall or calm. Everyone who is either happy or strong is not calm. Everyone who is quiet is either not tall or not happy and vice versa. Everyone who is either tall or kind is tall and vice versa. If someone is either not strong or not curious then john is c... | John is not funny. | contradiction | ((?[X]:((~quiet(X)<~>creative(X))))=>((tall(john)<~>calm(john))))&
(![X]:((happy(X)<~>strong(X))=>~calm(X)))&
(![X]:(quiet(X)<=>(~tall(X)<~>~happy(X))))&
(![X]:((tall(X)<~>kind(X))<=>tall(X)))&
((?[X]:((~strong(X)<~>~curious(X))))=>((creative(john)|wise(john))))&
(![X]:((generous(X)&~humble(X))<=>rich(X)))&
((?[X]:((~f... | ~funny(john) | [
"p3",
"p5",
"p6",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5839613898171305002758716
% SZS output start Proof for 5839613898171305002758716
4. ! [X0] : ((tall(X0) <~> kind(X0)) <=> tall(X0)) [input p3]
6. ! [X0] : ((~humble(X0) & generous(X0)) <=> rich(X0)) [input p5]
7. ? [X0] : (~brave(X0) | ~funny(X0)) <=> ? [X0] : old(X0) [input p6]
13. ! [X0... | 0 |
Everyone who is either wise or not quiet is both quiet and not curious and vice versa.
Everyone who is happy is not quiet or old.
Everyone who is not brave or tall is either not patient or not quiet and vice versa.
Everyone who is both not quiet and kind is either creative or not brave.
If someone is not tall or quiet ... | Mary is wise. | entailment | (![X]:((wise(X)<~>~quiet(X))<=>(quiet(X)&~curious(X))))&
(![X]:(happy(X)=>(~quiet(X)|old(X))))&
(![X]:((~brave(X)|tall(X))<=>(~patient(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&kind(X))=>(creative(X)<~>~brave(X))))&
((?[X]:((~tall(X)|quiet(X))))<=>((~creative(john)<~>~curious(john))))&
(![X]:((~patient(X)|generous(X))=>(wis... | wise(mary) | [
"p0",
"p2",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5380912001572841421773218
% SZS output start Proof for 5380912001572841421773218
1. ! [X0] : ((wise(X0) <~> ~quiet(X0)) <=> (~curious(X0) & quiet(X0))) [input p0]
3. ! [X0] : ((tall(X0) | ~brave(X0)) <=> (~patient(X0) <~> ~quiet(X0))) [input p2]
6. ! [X0] : ((generous(X0) | ~patient(X0)) ... | 0 |
Everyone who is tall is not humble.
Everyone who is not generous is either brave or not wise.
If john is not rich or kind then mary is not happy and vice versa.
Everyone who is rich or not creative is either not rich or not strong.
Everyone who is either not generous or not curious is tall or not brave.
Everyone who is... | Susan is happy. | neutral | (![X]:(tall(X)=>~humble(X)))&
(![X]:(~generous(X)=>(brave(X)<~>~wise(X))))&
(((~rich(john)|kind(john)))<=>(~happy(mary)))&
(![X]:((rich(X)|~creative(X))=>(~rich(X)<~>~strong(X))))&
(![X]:((~generous(X)<~>~curious(X))=>(tall(X)|~brave(X))))&
(![X]:(brave(X)<=>(rich(X)<~>wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>(?[X]:(... | happy(susan) | [] | null | 0 |
If someone is both rich and quiet then paul is either not patient or not brave and vice versa.
Everyone who is not curious or wise is either not creative or not rich and vice versa.
Everyone who is not humble or not happy is both old and not calm.
If alice is either not brave or old then lucy is rich.
Everyone who is g... | Alice is not happy. | contradiction | ((?[X]:((rich(X)&quiet(X))))<=>((~patient(paul)<~>~brave(paul))))&
(![X]:((~curious(X)|wise(X))<=>(~creative(X)<~>~rich(X))))&
(![X]:((~humble(X)|~happy(X))=>(old(X)&~calm(X))))&
(((~brave(alice)<~>old(alice)))=>(rich(lucy)))&
(![X]:(generous(X)<=>(~rich(X)&~happy(X))))&
(![X]:((brave(X)|~generous(X))<=>(humble(X)&pati... | ~happy(alice) | [
"p1",
"p7",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7586688780620958631771969
% SZS output start Proof for 7586688780620958631771969
2. ! [X0] : ((wise(X0) | ~curious(X0)) <=> (~creative(X0) <~> ~rich(X0))) [input p1]
8. ! [X0] : ((tall(X0) <~> curious(X0)) <=> (~creative(X0) <~> rich(X0))) [input p7]
10. ! [X0] : ((brave(X0) | curious(X0)... | 0 |
Everyone who is both not creative and humble is both not generous and not funny.
If alice is creative then lucy is both not strong and not quiet and vice versa.
If someone is not tall then someone is not calm.
Everyone who is patient is both not wise and not strong and vice versa.
Everyone who is both strong and not ha... | Alice is not curious. | neutral | (![X]:((~creative(X)&humble(X))=>(~generous(X)&~funny(X))))&
((creative(alice))<=>((~strong(lucy)&~quiet(lucy))))&
((?[X]:(~tall(X)))=>(?[X]:(~calm(X))))&
(![X]:(patient(X)<=>(~wise(X)&~strong(X))))&
(![X]:((strong(X)&~happy(X))=>(~funny(X)&~generous(X))))&
(![X]:((quiet(X)<~>~brave(X))=>(~wise(X)&happy(X))))&
(![X]:((... | ~curious(alice) | [] | null | 0 |
Everyone who is patient or calm is not curious or humble.
If susan is rich or patient then alice is both not strong and not calm and vice versa.
If mary is both not kind and not tall then someone is either tall or not happy.
If alice is either not tall or not funny then someone is wise or happy.
Everyone who is both cr... | Fred is not wise. | neutral | (![X]:((patient(X)|calm(X))=>(~curious(X)|humble(X))))&
(((rich(susan)|patient(susan)))<=>((~strong(alice)&~calm(alice))))&
(((~kind(mary)&~tall(mary)))=>(?[X]:((tall(X)<~>~happy(X)))))&
(((~tall(alice)<~>~funny(alice)))=>(?[X]:((wise(X)|happy(X)))))&
(![X]:((creative(X)&patient(X))=>(funny(X)|tall(X))))&
(((~humble(fr... | ~wise(fred) | [] | null | 0 |
Everyone who is both happy and funny is either kind or wise and vice versa.
If someone is brave then susan is tall and vice versa.
Everyone who is funny is brave.
Everyone who is either not funny or patient is both kind and not curious.
If someone is both not wise and generous then someone is not brave and vice versa.
... | Paul is tall. | neutral | (![X]:((happy(X)&funny(X))<=>(kind(X)<~>wise(X))))&
((?[X]:(brave(X)))<=>(tall(susan)))&
(![X]:(funny(X)=>brave(X)))&
(![X]:((~funny(X)<~>patient(X))=>(kind(X)&~curious(X))))&
((?[X]:((~wise(X)&generous(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~calm(X)|~wise(X))<=>(~generous(X)|~happy(X))))&
((?[X]:((humble(X)&old(X))))=>(... | tall(paul) | [] | null | 0 |
If mary is creative or kind then paul is rich.
Everyone who is both happy and kind is not quiet and vice versa.
Everyone who is old is either old or quiet and vice versa.
If fred is both strong and not rich then lucy is both not humble and tall and vice versa.
Everyone who is not humble or strong is both not happy and ... | John is not curious. | entailment | (((creative(mary)|kind(mary)))=>(rich(paul)))&
(![X]:((happy(X)&kind(X))<=>~quiet(X)))&
(![X]:(old(X)<=>(old(X)<~>quiet(X))))&
(((strong(fred)&~rich(fred)))<=>((~humble(lucy)&tall(lucy))))&
(![X]:((~humble(X)|strong(X))<=>(~happy(X)&~curious(X))))&
(((~old(paul)|funny(paul)))<=>(?[X]:(~wise(X))))&
(![X]:((~funny(X)|cur... | ~curious(john) | [
"p1",
"p2",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 749739359903221567778673
% SZS output start Proof for 749739359903221567778673
2. ! [X0] : ((kind(X0) & happy(X0)) <=> ~quiet(X0)) [input p1]
3. ! [X0] : (old(X0) <=> (old(X0) <~> quiet(X0))) [input p2]
5. ! [X0] : ((strong(X0) | ~humble(X0)) <=> (~curious(X0) & ~happy(X0))) [input p4]
8.... | 0 |
Everyone who is either not curious or patient is not happy and vice versa.
Everyone who is both not strong and not old is both curious and strong.
Everyone who is both generous and rich is both not strong and rich.
Everyone who is both not kind and not generous is not patient and vice versa.
Everyone who is wise or not... | John is not wise. | neutral | (![X]:((~curious(X)<~>patient(X))<=>~happy(X)))&
(![X]:((~strong(X)&~old(X))=>(curious(X)&strong(X))))&
(![X]:((generous(X)&rich(X))=>(~strong(X)&rich(X))))&
(![X]:((~kind(X)&~generous(X))<=>~patient(X)))&
(![X]:((wise(X)|~quiet(X))<=>(patient(X)|wise(X))))&
(![X]:((brave(X)|happy(X))<=>(~generous(X)&happy(X))))&
(((hu... | ~wise(john) | [] | null | 0 |
Everyone who is quiet is either quiet or not strong and vice versa.
If lucy is rich then someone is wise and vice versa.
Everyone who is both strong and quiet is both quiet and strong.
If alice is both strong and not brave then someone is both not old and not humble and vice versa.
If someone is either creative or not ... | Fred is calm. | contradiction | (![X]:(quiet(X)<=>(quiet(X)<~>~strong(X))))&
((rich(lucy))<=>(?[X]:(wise(X))))&
(![X]:((strong(X)&quiet(X))=>(quiet(X)&strong(X))))&
(((strong(alice)&~brave(alice)))<=>(?[X]:((~old(X)&~humble(X)))))&
((?[X]:((creative(X)<~>~curious(X))))<=>(?[X]:((tall(X)&~wise(X)))))&
(((~curious(alice)&~calm(alice)))=>(?[X]:((rich(X)... | calm(fred) | [
"p0",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 389440771084096568881634
% SZS output start Proof for 389440771084096568881634
1. ! [X0] : (quiet(X0) <=> (quiet(X0) <~> ~strong(X0))) [input p0]
11. ! [X0] : (calm(X0) => (~brave(X0) & rich(X0))) [input p10]
12. ! [X0] : (rich(X0) => (~strong(X0) & ~creative(X0))) [input p11]
24. calm(fr... | 0 |
Everyone who is either not strong or generous is both not tall and not happy and vice versa. Everyone who is both not calm and creative is not creative and vice versa. Everyone who is not strong or not creative is both strong and kind and vice versa. If mary is patient or not humble then mary is both not tall and humbl... | Mary is not generous. | contradiction | (![X]:((~strong(X)<~>generous(X))<=>(~tall(X)&~happy(X))))&
(![X]:((~calm(X)&creative(X))<=>~creative(X)))&
(![X]:((~strong(X)|~creative(X))<=>(strong(X)&kind(X))))&
(((patient(mary)|~humble(mary)))=>((~tall(mary)&humble(mary))))&
(![X]:(quiet(X)=>(~rich(X)|~patient(X))))&
((?[X]:((~old(X)<~>tall(X))))=>((funny(alice)&... | ~generous(mary) | [
"p3",
"p5",
"p7",
"p9",
"p12",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1046914033500087453516073
% SZS output start Proof for 1046914033500087453516073
4. (~humble(mary) | patient(mary)) => (humble(mary) & ~tall(mary)) [input p3]
6. ? [X0] : (~old(X0) <~> tall(X0)) => (~quiet(alice) & funny(alice)) [input p5]
8. ! [X0] : ((rich(X0) <~> old(X0)) <=> (~tall(X0... | 0 |
Everyone who is both not happy and curious is not strong or quiet and vice versa.
Everyone who is not curious is not old and vice versa.
If john is either kind or not old then alice is either not calm or patient.
If someone is kind then fred is not kind or not funny.
Everyone who is humble or not creative is both creat... | Alice is funny. | contradiction | (![X]:((~happy(X)&curious(X))<=>(~strong(X)|quiet(X))))&
(![X]:(~curious(X)<=>~old(X)))&
(((kind(john)<~>~old(john)))=>((~calm(alice)<~>patient(alice))))&
((?[X]:(kind(X)))=>((~kind(fred)|~funny(fred))))&
(![X]:((humble(X)|~creative(X))<=>(creative(X)&~rich(X))))&
(![X]:((~kind(X)|~creative(X))=>(~kind(X)|~patient(X)))... | funny(alice) | [
"p0",
"p1",
"p4",
"p6",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 334382887890172340325218
% SZS output start Proof for 334382887890172340325218
1. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (quiet(X0) | ~strong(X0))) [input p0]
2. ! [X0] : (~curious(X0) <=> ~old(X0)) [input p1]
5. ! [X0] : ((~creative(X0) | humble(X0)) <=> (~rich(X0) & creative(X0))) [in... | 0 |
If someone is both curious and patient then fred is not creative or tall and vice versa. If someone is both brave and tall then someone is either happy or kind. Everyone who is both calm and not quiet is both not quiet and not curious and vice versa. If someone is both generous and brave then someone is both not calm a... | Mary is not kind. | contradiction | ((?[X]:((curious(X)&patient(X))))<=>((~creative(fred)|tall(fred))))&
((?[X]:((brave(X)&tall(X))))=>(?[X]:((happy(X)<~>kind(X)))))&
(![X]:((calm(X)&~quiet(X))<=>(~quiet(X)&~curious(X))))&
((?[X]:((generous(X)&brave(X))))<=>(?[X]:((~calm(X)&~tall(X)))))&
(![X]:((~creative(X)&~patient(X))<=>(brave(X)|~patient(X))))&
((kin... | ~kind(mary) | [
"p0",
"p2",
"p4",
"p5",
"p6",
"p7",
"p11",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2852214898977607954435794
% SZS output start Proof for 2852214898977607954435794
1. ? [X0] : (patient(X0) & curious(X0)) <=> (tall(fred) | ~creative(fred)) [input p0]
3. ! [X0] : ((~quiet(X0) & calm(X0)) <=> (~curious(X0) & ~quiet(X0))) [input p2]
5. ! [X0] : ((~patient(X0) & ~creative(X0... | 0 |
If someone is not patient then fred is either not curious or not happy and vice versa.
If someone is not quiet then someone is both generous and not quiet and vice versa.
Everyone who is not tall or tall is either patient or not happy.
Everyone who is either curious or happy is both brave and not brave and vice versa.
... | Paul is kind. | contradiction | ((?[X]:(~patient(X)))<=>((~curious(fred)<~>~happy(fred))))&
((?[X]:(~quiet(X)))<=>(?[X]:((generous(X)&~quiet(X)))))&
(![X]:((~tall(X)|tall(X))=>(patient(X)<~>~happy(X))))&
(![X]:((curious(X)<~>happy(X))<=>(brave(X)&~brave(X))))&
((~creative(mary))<=>((brave(mary)<~>tall(mary))))&
(![X]:(~creative(X)=>generous(X)))&
((?... | kind(paul) | [
"p0",
"p3",
"p5",
"p6",
"p9",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8971636015013305108605239
% SZS output start Proof for 8971636015013305108605239
1. ? [X0] : ~patient(X0) <=> (~curious(fred) <~> ~happy(fred)) [input p0]
4. ! [X0] : ((curious(X0) <~> happy(X0)) <=> (~brave(X0) & brave(X0))) [input p3]
6. ! [X0] : (~creative(X0) => generous(X0)) [input p... | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is patient. | entailment | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | patient(mary) | [
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3161793777393875485344108
% SZS output start Proof for 3161793777393875485344108
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
4. ! [X0] : ((old(X0) <~> ~tall(X0)) <=> (old(X0) | funny(X0))) [input p3]
10. ! [X0] : (tall(X0) => (patient(X0) | ~kind(X0))... | 0 |
Everyone who is rich is either not curious or not tall.
If susan is not funny or wise then fred is kind or not patient and vice versa.
If fred is either not patient or creative then john is brave and vice versa.
If someone is either not wise or calm then lucy is either not creative or not funny and vice versa.
If lucy ... | Lucy is patient. | entailment | (![X]:(rich(X)=>(~curious(X)<~>~tall(X))))&
(((~funny(susan)|wise(susan)))<=>((kind(fred)|~patient(fred))))&
(((~patient(fred)<~>creative(fred)))<=>(brave(john)))&
((?[X]:((~wise(X)<~>calm(X))))<=>((~creative(lucy)<~>~funny(lucy))))&
(((~old(lucy)<~>~humble(lucy)))=>((~strong(lucy)|~curious(lucy))))&
(![X]:((~calm(X)|~... | patient(lucy) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8524950934630857335221172
% SZS output start Proof for 8524950934630857335221172
11. ! [X0] : (~patient(X0) => (patient(X0) & curious(X0))) [input p10]
23. ~patient(lucy) [input hypothesis]
31. ! [X0] : ((patient(X0) & curious(X0)) | patient(X0)) [ennf transformation 11]
115. patient(X0) ... | 0 |
Everyone who is both tall and not wise is both quiet and old and vice versa.
If john is either humble or rich then paul is both patient and old.
If someone is not happy or humble then someone is both not curious and old and vice versa.
If someone is either calm or tall then someone is both not humble and not kind.
If s... | Lucy is not wise. | entailment | (![X]:((tall(X)&~wise(X))<=>(quiet(X)&old(X))))&
(((humble(john)<~>rich(john)))=>((patient(paul)&old(paul))))&
((?[X]:((~happy(X)|humble(X))))<=>(?[X]:((~curious(X)&old(X)))))&
((?[X]:((calm(X)<~>tall(X))))=>(?[X]:((~humble(X)&~kind(X)))))&
((?[X]:((old(X)&~strong(X))))<=>((generous(fred)<~>~brave(fred))))&
(((creative... | ~wise(lucy) | [
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7915614578392180700254328
% SZS output start Proof for 7915614578392180700254328
18. ~funny(lucy) <~> ~wise(lucy) [input p17]
20. funny(lucy) [input p19]
25. wise(lucy) [input hypothesis]
75. (wise(lucy) | funny(lucy)) & (~wise(lucy) | ~funny(lucy)) [nnf transformation 18]
138. ~wise(lucy... | 0 |
Everyone who is patient is wise and vice versa.
Everyone who is not old or wise is both not happy and not quiet and vice versa.
Everyone who is either not happy or brave is either not patient or not kind and vice versa.
If fred is not tall or happy then lucy is either not kind or happy and vice versa.
Everyone who is b... | Paul is not curious. | neutral | (![X]:(patient(X)<=>wise(X)))&
(![X]:((~old(X)|wise(X))<=>(~happy(X)&~quiet(X))))&
(![X]:((~happy(X)<~>brave(X))<=>(~patient(X)<~>~kind(X))))&
(((~tall(fred)|happy(fred)))<=>((~kind(lucy)<~>happy(lucy))))&
(![X]:((~funny(X)&~quiet(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:((~quiet(X)&brave(X))<=>~generous(X)))&
((?[X]:((... | ~curious(paul) | [] | null | 0 |
Everyone who is not brave is happy or not kind and vice versa.
Everyone who is not quiet or not rich is not quiet or not brave and vice versa.
If someone is not happy then mary is creative or brave.
If john is quiet then someone is both not generous and creative and vice versa.
If john is kind or not rich then john is ... | Fred is strong. | neutral | (![X]:(~brave(X)<=>(happy(X)|~kind(X))))&
(![X]:((~quiet(X)|~rich(X))<=>(~quiet(X)|~brave(X))))&
((?[X]:(~happy(X)))=>((creative(mary)|brave(mary))))&
((quiet(john))<=>(?[X]:((~generous(X)&creative(X)))))&
(((kind(john)|~rich(john)))<=>((~creative(john)&old(john))))&
(((quiet(susan)|~brave(susan)))=>((~rich(john)&~gene... | strong(fred) | [] | null | 0 |
If someone is either kind or wise then john is not rich and vice versa.
Everyone who is both not calm and happy is not kind or not old and vice versa.
Everyone who is either not funny or rich is not curious.
If lucy is either not old or calm then someone is both not curious and creative.
If someone is not tall or not c... | Paul is kind. | entailment | ((?[X]:((kind(X)<~>wise(X))))<=>(~rich(john)))&
(![X]:((~calm(X)&happy(X))<=>(~kind(X)|~old(X))))&
(![X]:((~funny(X)<~>rich(X))=>~curious(X)))&
(((~old(lucy)<~>calm(lucy)))=>(?[X]:((~curious(X)&creative(X)))))&
((?[X]:((~tall(X)|~calm(X))))<=>(?[X]:(strong(X))))&
(![X]:((~happy(X)|~quiet(X))<=>(~generous(X)|~calm(X))))... | kind(paul) | [
"p1",
"p2",
"p5",
"p6",
"p7",
"p10",
"p11",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8019270194418564361413893
% SZS output start Proof for 8019270194418564361413893
2. ! [X0] : ((happy(X0) & ~calm(X0)) <=> (~old(X0) | ~kind(X0))) [input p1]
3. ! [X0] : ((~funny(X0) <~> rich(X0)) => ~curious(X0)) [input p2]
6. ! [X0] : ((~quiet(X0) | ~happy(X0)) <=> (~calm(X0) | ~generous... | 0 |
If someone is either not funny or not generous then paul is both not patient and not tall and vice versa.
If someone is calm then fred is funny.
Everyone who is either funny or not happy is funny or not old and vice versa.
Everyone who is either not creative or not wise is not patient.
If someone is both calm and not h... | Susan is not happy. | contradiction | ((?[X]:((~funny(X)<~>~generous(X))))<=>((~patient(paul)&~tall(paul))))&
((?[X]:(calm(X)))=>(funny(fred)))&
(![X]:((funny(X)<~>~happy(X))<=>(funny(X)|~old(X))))&
(![X]:((~creative(X)<~>~wise(X))=>~patient(X)))&
((?[X]:((calm(X)&~humble(X))))<=>(?[X]:((quiet(X)<~>creative(X)))))&
((?[X]:((~creative(X)&~tall(X))))<=>(?[X]... | ~happy(susan) | [
"p2",
"p6",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4339806143216725466296641
% SZS output start Proof for 4339806143216725466296641
3. ! [X0] : ((funny(X0) <~> ~happy(X0)) <=> (~old(X0) | funny(X0))) [input p2]
7. ! [X0] : ((~curious(X0) <~> quiet(X0)) <=> (funny(X0) <~> happy(X0))) [input p6]
9. ? [X0] : (quiet(X0) <~> curious(X0)) <=> ?... | 0 |
If someone is either not brave or brave then someone is both not curious and not tall and vice versa.
Everyone who is both rich and not creative is either old or funny.
If paul is either strong or wise then susan is either not curious or not strong and vice versa.
Everyone who is not calm or old is either not wise or r... | Fred is calm. | contradiction | ((?[X]:((~brave(X)<~>brave(X))))<=>(?[X]:((~curious(X)&~tall(X)))))&
(![X]:((rich(X)&~creative(X))=>(old(X)<~>funny(X))))&
(((strong(paul)<~>wise(paul)))<=>((~curious(susan)<~>~strong(susan))))&
(![X]:((~calm(X)|old(X))<=>(~wise(X)<~>rich(X))))&
(![X]:(happy(X)=>(~funny(X)<~>happy(X))))&
((?[X]:(~patient(X)))<=>((~crea... | calm(fred) | [
"p1",
"p3",
"p4",
"p8",
"p10",
"p12",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2402701360697467247977602
% SZS output start Proof for 2402701360697467247977602
2. ! [X0] : ((~creative(X0) & rich(X0)) => (old(X0) <~> funny(X0))) [input p1]
4. ! [X0] : ((old(X0) | ~calm(X0)) <=> (~wise(X0) <~> rich(X0))) [input p3]
5. ! [X0] : (happy(X0) => (~funny(X0) <~> happy(X0)))... | 0 |
Everyone who is not strong is both not happy and not wise and vice versa.
Everyone who is either not kind or creative is either not curious or rich and vice versa.
Everyone who is not calm or wise is kind and vice versa.
Everyone who is both generous and not rich is generous and vice versa.
Everyone who is either rich ... | Fred is not patient. | neutral | (![X]:(~strong(X)<=>(~happy(X)&~wise(X))))&
(![X]:((~kind(X)<~>creative(X))<=>(~curious(X)<~>rich(X))))&
(![X]:((~calm(X)|wise(X))<=>kind(X)))&
(![X]:((generous(X)&~rich(X))<=>generous(X)))&
(![X]:((rich(X)<~>~rich(X))=>(tall(X)&~wise(X))))&
((?[X]:((~tall(X)|brave(X))))<=>(?[X]:((wise(X)<~>generous(X)))))&
((?[X]:((ri... | ~patient(fred) | [] | null | 0 |
Everyone who is both not curious and not rich is not kind and vice versa.
If john is either not old or strong then someone is curious and vice versa.
If fred is both humble and happy then lucy is not rich or not happy.
Everyone who is not calm is not tall or calm and vice versa.
Everyone who is either not calm or happy... | Mary is not tall. | entailment | (![X]:((~curious(X)&~rich(X))<=>~kind(X)))&
(((~old(john)<~>strong(john)))<=>(?[X]:(curious(X))))&
(((humble(fred)&happy(fred)))=>((~rich(lucy)|~happy(lucy))))&
(![X]:(~calm(X)<=>(~tall(X)|calm(X))))&
(![X]:((~calm(X)<~>happy(X))<=>(~funny(X)|strong(X))))&
(![X]:((rich(X)<~>calm(X))=>(tall(X)&~calm(X))))&
(((~funny(luc... | ~tall(mary) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 329729158964578996740640
% SZS output start Proof for 329729158964578996740640
4. ! [X0] : (~calm(X0) <=> (calm(X0) | ~tall(X0))) [input p3]
25. tall(mary) [input hypothesis]
43. ! [X0] : ((~calm(X0) | (~calm(X0) & tall(X0))) & ((calm(X0) | ~tall(X0)) | calm(X0))) [nnf transformation 4]
4... | 0 |
Everyone who is both not old and humble is not calm.
Everyone who is not tall or wise is not wise and vice versa.
If fred is wise or not strong then paul is strong.
If someone is creative or rich then someone is either calm or not happy and vice versa.
Everyone who is either not tall or not patient is both creative and... | Fred is not calm. | contradiction | (![X]:((~old(X)&humble(X))=>~calm(X)))&
(![X]:((~tall(X)|wise(X))<=>~wise(X)))&
(((wise(fred)|~strong(fred)))=>(strong(paul)))&
((?[X]:((creative(X)|rich(X))))<=>(?[X]:((calm(X)<~>~happy(X)))))&
(![X]:((~tall(X)<~>~patient(X))=>(creative(X)&brave(X))))&
(((funny(fred)|curious(fred)))<=>((~strong(alice)|kind(alice))))&
... | ~calm(fred) | [
"p1",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 885977659046646375163552
% SZS output start Proof for 885977659046646375163552
2. ! [X0] : ((wise(X0) | ~tall(X0)) <=> ~wise(X0)) [input p1]
9. ? [X0] : (~patient(X0) & wise(X0)) <=> ? [X0] : (~calm(X0) | ~rich(X0)) [input p8]
21. ~calm(fred) [input hypothesis]
24. ? [X0] : (~patient(X0) ... | 0 |
If susan is quiet or not old then someone is both not generous and not happy.
If fred is not tall or curious then paul is both not patient and not creative.
Everyone who is both not tall and not strong is quiet or not creative and vice versa.
If someone is both not creative and tall then john is not generous.
Everyone ... | Fred is strong. | contradiction | (((quiet(susan)|~old(susan)))=>(?[X]:((~generous(X)&~happy(X)))))&
(((~tall(fred)|curious(fred)))=>((~patient(paul)&~creative(paul))))&
(![X]:((~tall(X)&~strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~creative(X)&tall(X))))=>(~generous(john)))&
(![X]:(~curious(X)<=>(~old(X)|~brave(X))))&
(((~calm(alice)|humble(alice... | strong(fred) | [
"p2",
"p6",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3534543557259865250639451
% SZS output start Proof for 3534543557259865250639451
3. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~creative(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (tall(X0) <~> generous(X0))) [input p6]
10. ! [X0] : (brave(X0) <=> (~humble(X0) | st... | 0 |
Everyone who is not tall is not creative or strong. Everyone who is not humble is not patient and vice versa. Everyone who is not wise or patient is not generous or not rich and vice versa. If someone is either humble or not creative then mary is both old and brave. Everyone who is either happy or not humble is not str... | Fred is not humble. | entailment | (![X]:(~tall(X)=>(~creative(X)|strong(X))))&
(![X]:(~humble(X)<=>~patient(X)))&
(![X]:((~wise(X)|patient(X))<=>(~generous(X)|~rich(X))))&
((?[X]:((humble(X)<~>~creative(X))))=>((old(mary)&brave(mary))))&
(![X]:((happy(X)<~>~humble(X))<=>~strong(X)))&
(![X]:((generous(X)|calm(X))<=>(~kind(X)<~>funny(X))))&
((?[X]:((~bra... | ~humble(fred) | [
"p1",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 7523679069746274233279159
% SZS output start Proof for 7523679069746274233279159
2. ! [X0] : (~humble(X0) <=> ~patient(X0)) [input p1]
22. ~patient(fred) & funny(fred) [input p21]
25. humble(fred) [input hypothesis]
39. ! [X0] : ((~humble(X0) | patient(X0)) & (~patient(X0) | humble(X0))) ... | 0 |
If someone is both kind and humble then someone is not strong or quiet and vice versa.
Everyone who is not old or not funny is brave or funny.
Everyone who is not generous or not quiet is not creative and vice versa.
Everyone who is curious or quiet is rich.
Everyone who is not happy or not tall is both curious and kin... | Alice is not brave. | contradiction | ((?[X]:((kind(X)&humble(X))))<=>(?[X]:((~strong(X)|quiet(X)))))&
(![X]:((~old(X)|~funny(X))=>(brave(X)|funny(X))))&
(![X]:((~generous(X)|~quiet(X))<=>~creative(X)))&
(![X]:((curious(X)|quiet(X))=>rich(X)))&
(![X]:((~happy(X)|~tall(X))=>(curious(X)&kind(X))))&
((?[X]:(~tall(X)))<=>((strong(fred)<~>~calm(fred))))&
(((cre... | ~brave(alice) | [
"p1",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 360530970260945330168743
% SZS output start Proof for 360530970260945330168743
2. ! [X0] : ((~funny(X0) | ~old(X0)) => (funny(X0) | brave(X0))) [input p1]
11. (~strong(alice) & ~funny(alice)) <=> ? [X0] : wise(X0) [input p10]
24. ? [X0] : (funny(X0) & wise(X0)) [input p23]
25. ~brave(alic... | 0 |
Everyone who is brave or happy is both not quiet and not humble and vice versa. Everyone who is not rich is either tall or rich and vice versa. Everyone who is either humble or not rich is not old and vice versa. Everyone who is either rich or not wise is happy. Everyone who is happy is either rich or not quiet. Everyo... | Mary is not patient. | neutral | (![X]:((brave(X)|happy(X))<=>(~quiet(X)&~humble(X))))&
(![X]:(~rich(X)<=>(tall(X)<~>rich(X))))&
(![X]:((humble(X)<~>~rich(X))<=>~old(X)))&
(![X]:((rich(X)<~>~wise(X))=>happy(X)))&
(![X]:(happy(X)=>(rich(X)<~>~quiet(X))))&
(![X]:(patient(X)=>~quiet(X)))&
((?[X]:(~rich(X)))<=>((patient(paul)|brave(paul))))&
(![X]:((~quie... | ~patient(mary) | [] | null | 0 |
Everyone who is generous is both funny and rich.
Everyone who is either humble or old is both generous and funny.
Everyone who is humble is calm and vice versa.
Everyone who is humble is generous and vice versa.
If someone is either happy or not humble then someone is either patient or not creative.
Everyone who is bot... | John is generous. | contradiction | (![X]:(generous(X)=>(funny(X)&rich(X))))&
(![X]:((humble(X)<~>old(X))=>(generous(X)&funny(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:(humble(X)<=>generous(X)))&
((?[X]:((happy(X)<~>~humble(X))))=>(?[X]:((patient(X)<~>~creative(X)))))&
(![X]:((~strong(X)&~creative(X))<=>(~brave(X)|tall(X))))&
(![X]:((calm(X)|~quiet(X))<... | generous(john) | [
"p2",
"p3",
"p5",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7148652641533790302960937
% SZS output start Proof for 7148652641533790302960937
3. ! [X0] : (humble(X0) <=> calm(X0)) [input p2]
4. ! [X0] : (humble(X0) <=> generous(X0)) [input p3]
6. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (tall(X0) | ~brave(X0))) [input p5]
11. ! [X0] : (generous(... | 0 |
If someone is patient then someone is both old and generous.
If fred is both not curious and not rich then someone is not brave.
If someone is old then paul is patient and vice versa.
Everyone who is both creative and not humble is not happy or not quiet and vice versa.
Everyone who is patient or not wise is either tal... | Susan is generous. | neutral | ((?[X]:(patient(X)))=>(?[X]:((old(X)&generous(X)))))&
(((~curious(fred)&~rich(fred)))=>(?[X]:(~brave(X))))&
((?[X]:(old(X)))<=>(patient(paul)))&
(![X]:((creative(X)&~humble(X))<=>(~happy(X)|~quiet(X))))&
(![X]:((patient(X)|~wise(X))=>(tall(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(~calm(X)<~>rich(X))))&
(![X]:((~generous... | generous(susan) | [] | null | 0 |
If alice is not generous or creative then john is not strong and vice versa.
If someone is either not quiet or not funny then someone is brave and vice versa.
If someone is either not generous or calm then someone is either tall or curious and vice versa.
Everyone who is strong or generous is both not wise and not funn... | Alice is not wise. | entailment | (((~generous(alice)|creative(alice)))<=>(~strong(john)))&
((?[X]:((~quiet(X)<~>~funny(X))))<=>(?[X]:(brave(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>(?[X]:((tall(X)<~>curious(X)))))&
(![X]:((strong(X)|generous(X))<=>(~wise(X)&~funny(X))))&
(![X]:(strong(X)<=>(~tall(X)&calm(X))))&
((?[X]:((~strong(X)|wise(X))))<=>(?[X... | ~wise(alice) | [
"p3",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 7066563556549242803285527
% SZS output start Proof for 7066563556549242803285527
4. ! [X0] : ((generous(X0) | strong(X0)) <=> (~funny(X0) & ~wise(X0))) [input p3]
8. ! [X0] : ((~wise(X0) | funny(X0)) <=> ~wise(X0)) [input p7]
9. ! [X0] : ((funny(X0) & ~kind(X0)) <=> (~strong(X0) <~> funny... | 0 |
If someone is not curious then mary is brave and vice versa.
If someone is both tall and not wise then paul is either not calm or not kind and vice versa.
Everyone who is either not strong or brave is generous and vice versa.
Everyone who is either rich or patient is either generous or curious and vice versa.
Everyone ... | Fred is tall. | neutral | ((?[X]:(~curious(X)))<=>(brave(mary)))&
((?[X]:((tall(X)&~wise(X))))<=>((~calm(paul)<~>~kind(paul))))&
(![X]:((~strong(X)<~>brave(X))<=>generous(X)))&
(![X]:((rich(X)<~>patient(X))<=>(generous(X)<~>curious(X))))&
(![X]:(funny(X)=>(happy(X)&~strong(X))))&
(![X]:((~calm(X)<~>~old(X))=>(~calm(X)|~old(X))))&
((?[X]:((calm(... | tall(fred) | [] | null | 0 |
Everyone who is both humble and not old is humble or generous and vice versa.
Everyone who is both not strong and not calm is not brave.
Everyone who is both patient and not generous is both tall and not humble and vice versa.
Everyone who is either rich or kind is both not tall and brave and vice versa.
Everyone who i... | Susan is funny. | neutral | (![X]:((humble(X)&~old(X))<=>(humble(X)|generous(X))))&
(![X]:((~strong(X)&~calm(X))=>~brave(X)))&
(![X]:((patient(X)&~generous(X))<=>(tall(X)&~humble(X))))&
(![X]:((rich(X)<~>kind(X))<=>(~tall(X)&brave(X))))&
(![X]:((~patient(X)|~kind(X))<=>brave(X)))&
(((funny(john)&~kind(john)))=>(generous(fred)))&
(![X]:((wise(X)&b... | funny(susan) | [] | null | 0 |
Everyone who is either patient or tall is either humble or not happy and vice versa. If someone is either not strong or not funny then someone is wise. If lucy is not rich or not brave then john is either not generous or not funny. Everyone who is either patient or not happy is both wise and not kind. If someone is eit... | Alice is not curious. | neutral | (![X]:((patient(X)<~>tall(X))<=>(humble(X)<~>~happy(X))))&
((?[X]:((~strong(X)<~>~funny(X))))=>(?[X]:(wise(X))))&
(((~rich(lucy)|~brave(lucy)))=>((~generous(john)<~>~funny(john))))&
(![X]:((patient(X)<~>~happy(X))=>(wise(X)&~kind(X))))&
((?[X]:((quiet(X)<~>strong(X))))=>(?[X]:((~kind(X)<~>~strong(X)))))&
((?[X]:((~funn... | ~curious(alice) | [] | null | 0 |
If mary is not quiet or kind then susan is either tall or strong and vice versa.
Everyone who is both not old and not strong is not humble or funny and vice versa.
If someone is not quiet then someone is not funny.
Everyone who is either not strong or creative is quiet.
Everyone who is curious is tall or not kind.
If a... | Fred is wise. | contradiction | (((~quiet(mary)|kind(mary)))<=>((tall(susan)<~>strong(susan))))&
(![X]:((~old(X)&~strong(X))<=>(~humble(X)|funny(X))))&
((?[X]:(~quiet(X)))=>(?[X]:(~funny(X))))&
(![X]:((~strong(X)<~>creative(X))=>quiet(X)))&
(![X]:(curious(X)=>(tall(X)|~kind(X))))&
(((~humble(alice)<~>funny(alice)))<=>(?[X]:((~patient(X)<~>~rich(X))))... | wise(fred) | [
"p1",
"p6",
"p7",
"p8",
"p9",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 484665274633798720428033
% SZS output start Proof for 484665274633798720428033
2. ! [X0] : ((~strong(X0) & ~old(X0)) <=> (funny(X0) | ~humble(X0))) [input p1]
7. ! [X0] : ((calm(X0) | funny(X0)) <=> (~funny(X0) & ~old(X0))) [input p6]
8. ! [X0] : (~curious(X0) <=> (wise(X0) <~> ~generous(... | 0 |
Everyone who is not rich is both not curious and not tall and vice versa. Everyone who is both quiet and not kind is not strong or brave and vice versa. Everyone who is both not curious and tall is not generous or curious and vice versa. Everyone who is both not brave and calm is both calm and not calm. Everyone who is... | Paul is not old. | entailment | (![X]:(~rich(X)<=>(~curious(X)&~tall(X))))&
(![X]:((quiet(X)&~kind(X))<=>(~strong(X)|brave(X))))&
(![X]:((~curious(X)&tall(X))<=>(~generous(X)|curious(X))))&
(![X]:((~brave(X)&calm(X))=>(calm(X)&~calm(X))))&
(![X]:((calm(X)&~strong(X))=>(happy(X)&creative(X))))&
((?[X]:((~creative(X)&funny(X))))<=>((~strong(fred)<~>kin... | ~old(paul) | [
"p0",
"p1",
"p2",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 606079118604694617443723
% SZS output start Proof for 606079118604694617443723
1. ! [X0] : (~rich(X0) <=> (~tall(X0) & ~curious(X0))) [input p0]
2. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (brave(X0) | ~strong(X0))) [input p1]
3. ! [X0] : ((tall(X0) & ~curious(X0)) <=> (curious(X0) | ~genero... | 0 |
If paul is old or not funny then lucy is not brave or not tall and vice versa.
If lucy is both brave and not strong then alice is either not happy or tall.
If someone is either not rich or not brave then paul is not strong or not calm.
If john is both not calm and funny then someone is not curious or not wise and vice ... | Fred is not quiet. | entailment | (((old(paul)|~funny(paul)))<=>((~brave(lucy)|~tall(lucy))))&
(((brave(lucy)&~strong(lucy)))=>((~happy(alice)<~>tall(alice))))&
((?[X]:((~rich(X)<~>~brave(X))))=>((~strong(paul)|~calm(paul))))&
(((~calm(john)&funny(john)))<=>(?[X]:((~curious(X)|~wise(X)))))&
(![X]:(kind(X)<=>(wise(X)|tall(X))))&
(((~generous(paul)&funny... | ~quiet(fred) | [
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 757758789821584406318065
% SZS output start Proof for 757758789821584406318065
7. ! [X0] : ((~humble(X0) <~> strong(X0)) <=> (quiet(X0) <~> ~strong(X0))) [input p6]
22. ~humble(fred) [input p21]
25. quiet(fred) [input hypothesis]
53. ! [X0] : ((((~strong(X0) | humble(X0)) & (strong(X0) | ... | 0 |
Everyone who is not creative or not kind is both curious and old and vice versa. If lucy is strong then mary is both not rich and brave and vice versa. Everyone who is either not curious or not tall is either patient or tall. Everyone who is not brave or not curious is tall. Everyone who is both not calm and strong is ... | Lucy is not patient. | entailment | (![X]:((~creative(X)|~kind(X))<=>(curious(X)&old(X))))&
((strong(lucy))<=>((~rich(mary)&brave(mary))))&
(![X]:((~curious(X)<~>~tall(X))=>(patient(X)<~>tall(X))))&
(![X]:((~brave(X)|~curious(X))=>tall(X)))&
(![X]:((~calm(X)&strong(X))=>(~generous(X)<~>~patient(X))))&
((?[X]:((~tall(X)<~>~old(X))))<=>((wise(mary)<~>calm(... | ~patient(lucy) | [
"p2",
"p3",
"p8",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7427636797251561370241153
% SZS output start Proof for 7427636797251561370241153
3. ! [X0] : ((~curious(X0) <~> ~tall(X0)) => (patient(X0) <~> tall(X0))) [input p2]
4. ! [X0] : ((~curious(X0) | ~brave(X0)) => tall(X0)) [input p3]
9. ! [X0] : ((patient(X0) | ~rich(X0)) <=> (old(X0) & ~humb... | 0 |
If someone is old then fred is not generous or not rich and vice versa. If mary is generous then someone is both quiet and tall. Everyone who is calm or quiet is both not patient and creative and vice versa. Everyone who is not calm is not creative or not happy. Everyone who is not happy or not curious is both calm and... | Alice is not funny. | contradiction | ((?[X]:(old(X)))<=>((~generous(fred)|~rich(fred))))&
((generous(mary))=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((calm(X)|quiet(X))<=>(~patient(X)&creative(X))))&
(![X]:(~calm(X)=>(~creative(X)|~happy(X))))&
(![X]:((~happy(X)|~curious(X))=>(calm(X)&~rich(X))))&
(![X]:((~curious(X)&~old(X))<=>(~calm(X)<~>~funny(X))))&
(![X]... | ~funny(alice) | [
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3655139078010507206531805
% SZS output start Proof for 3655139078010507206531805
3. ! [X0] : ((quiet(X0) | calm(X0)) <=> (creative(X0) & ~patient(X0))) [input p2]
4. ! [X0] : (~calm(X0) => (~happy(X0) | ~creative(X0))) [input p3]
5. ! [X0] : ((~curious(X0) | ~happy(X0)) => (~rich(X0) & ca... | 0 |
Everyone who is either not brave or brave is not strong or not kind. Everyone who is both funny and not wise is either curious or not calm. Everyone who is not tall is not kind or not strong and vice versa. Everyone who is not wise is both not curious and not rich and vice versa. Everyone who is not strong or wise is b... | John is not curious. | entailment | (![X]:((~brave(X)<~>brave(X))=>(~strong(X)|~kind(X))))&
(![X]:((funny(X)&~wise(X))=>(curious(X)<~>~calm(X))))&
(![X]:(~tall(X)<=>(~kind(X)|~strong(X))))&
(![X]:(~wise(X)<=>(~curious(X)&~rich(X))))&
(![X]:((~strong(X)|wise(X))<=>(~generous(X)&tall(X))))&
(((~curious(mary)|~funny(mary)))<=>(?[X]:((generous(X)<~>~funny(X)... | ~curious(john) | [
"p0",
"p2",
"p3",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 5589080162923985640809906
% SZS output start Proof for 5589080162923985640809906
1. ! [X0] : ((~brave(X0) <~> brave(X0)) => (~kind(X0) | ~strong(X0))) [input p0]
3. ! [X0] : (~tall(X0) <=> (~strong(X0) | ~kind(X0))) [input p2]
4. ! [X0] : (~wise(X0) <=> (~rich(X0) & ~curious(X0))) [input ... | 0 |
If fred is both not kind and creative then someone is either quiet or generous.
If lucy is kind then someone is quiet or not old.
Everyone who is both kind and old is strong.
Everyone who is creative is both tall and patient and vice versa.
Everyone who is both kind and quiet is brave.
Everyone who is kind or not curio... | Lucy is humble. | entailment | (((~kind(fred)&creative(fred)))=>(?[X]:((quiet(X)<~>generous(X)))))&
((kind(lucy))=>(?[X]:((quiet(X)|~old(X)))))&
(![X]:((kind(X)&old(X))=>strong(X)))&
(![X]:(creative(X)<=>(tall(X)&patient(X))))&
(![X]:((kind(X)&quiet(X))=>brave(X)))&
(![X]:((kind(X)|~curious(X))=>(~quiet(X)|~happy(X))))&
(![X]:((curious(X)|~funny(X))... | humble(lucy) | [
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 3290729690706964849698366
% SZS output start Proof for 3290729690706964849698366
24. humble(lucy) & tall(lucy) [input p23]
25. ~humble(lucy) [input hypothesis]
130. humble(lucy) [cnf transformation 24]
131. ~humble(lucy) [cnf transformation 25]
286. $false [subsumption resolution 131,130]... | 0 |
If someone is funny or not quiet then mary is both not generous and not wise.
Everyone who is not calm or not happy is creative or not patient.
If someone is not quiet then paul is kind.
Everyone who is both strong and wise is both kind and not strong and vice versa.
If john is not generous or not quiet then someone is... | Paul is quiet. | entailment | ((?[X]:((funny(X)|~quiet(X))))=>((~generous(mary)&~wise(mary))))&
(![X]:((~calm(X)|~happy(X))=>(creative(X)|~patient(X))))&
((?[X]:(~quiet(X)))=>(kind(paul)))&
(![X]:((strong(X)&wise(X))<=>(kind(X)&~strong(X))))&
(((~generous(john)|~quiet(john)))<=>(?[X]:(~funny(X))))&
(![X]:((rich(X)<~>~wise(X))<=>(patient(X)|~creativ... | quiet(paul) | [
"p2",
"p3",
"p5",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2919050183177421466152010
% SZS output start Proof for 2919050183177421466152010
3. ? [X0] : ~quiet(X0) => kind(paul) [input p2]
4. ! [X0] : ((wise(X0) & strong(X0)) <=> (~strong(X0) & kind(X0))) [input p3]
6. ! [X0] : ((rich(X0) <~> ~wise(X0)) <=> (~creative(X0) | patient(X0))) [input p5... | 0 |
Everyone who is either not happy or not calm is not quiet or not brave and vice versa.
Everyone who is not generous is calm and vice versa.
Everyone who is calm or generous is either funny or not happy and vice versa.
If mary is wise or happy then someone is happy.
If lucy is not patient or brave then someone is either... | Fred is not happy. | entailment | (![X]:((~happy(X)<~>~calm(X))<=>(~quiet(X)|~brave(X))))&
(![X]:(~generous(X)<=>calm(X)))&
(![X]:((calm(X)|generous(X))<=>(funny(X)<~>~happy(X))))&
(((wise(mary)|happy(mary)))=>(?[X]:(happy(X))))&
(((~patient(lucy)|brave(lucy)))<=>(?[X]:((~patient(X)<~>~strong(X)))))&
((brave(mary))<=>((~tall(paul)<~>~quiet(paul))))&
(!... | ~happy(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4163006405111326914839236
% SZS output start Proof for 4163006405111326914839236
7. ! [X0] : ((~calm(X0) | happy(X0)) => (~humble(X0) & humble(X0))) [input p6]
24. happy(fred) [input hypothesis]
26. ! [X0] : ((~humble(X0) & humble(X0)) | (calm(X0) & ~happy(X0))) [ennf transformation 7]
99... | 0 |
If fred is either rich or not tall then mary is generous. If someone is not kind or not creative then susan is not brave or curious. Everyone who is not patient is not humble or not creative and vice versa. Everyone who is not rich or quiet is not old or not strong and vice versa. If susan is calm then mary is both str... | Fred is rich. | contradiction | (((rich(fred)<~>~tall(fred)))=>(generous(mary)))&
((?[X]:((~kind(X)|~creative(X))))=>((~brave(susan)|curious(susan))))&
(![X]:(~patient(X)<=>(~humble(X)|~creative(X))))&
(![X]:((~rich(X)|quiet(X))<=>(~old(X)|~strong(X))))&
((calm(susan))<=>((strong(mary)&~curious(mary))))&
(((~tall(alice)|calm(alice)))=>(?[X]:(quiet(X)... | rich(fred) | [
"p2",
"p3",
"p8",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 193076730212363733501661
% SZS output start Proof for 193076730212363733501661
3. ! [X0] : (~patient(X0) <=> (~creative(X0) | ~humble(X0))) [input p2]
4. ! [X0] : ((quiet(X0) | ~rich(X0)) <=> (~strong(X0) | ~old(X0))) [input p3]
9. ? [X0] : (quiet(X0) | ~creative(X0)) => ? [X0] : (~patien... | 0 |
If john is both not curious and wise then mary is quiet or happy.
Everyone who is tall is both wise and not curious.
Everyone who is tall is wise.
If fred is either not happy or not wise then someone is quiet and vice versa.
Everyone who is not creative is either not curious or generous.
Everyone who is both patient an... | Mary is not rich. | contradiction | (((~curious(john)&wise(john)))=>((quiet(mary)|happy(mary))))&
(![X]:(tall(X)=>(wise(X)&~curious(X))))&
(![X]:(tall(X)=>wise(X)))&
(((~happy(fred)<~>~wise(fred)))<=>(?[X]:(quiet(X))))&
(![X]:(~creative(X)=>(~curious(X)<~>generous(X))))&
(![X]:((patient(X)&~humble(X))=>(tall(X)<~>creative(X))))&
(![X]:((happy(X)<~>kind(X... | ~rich(mary) | [
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4360848015154436447100167
% SZS output start Proof for 4360848015154436447100167
9. ? [X0] : (~rich(X0) | strong(X0)) <=> ? [X0] : (quiet(X0) & curious(X0)) [input p8]
15. ! [X0] : ((~curious(X0) & generous(X0)) <=> (strong(X0) | curious(X0))) [input p14]
23. ~rich(mary) [input hypothesis... | 0 |
Everyone who is not patient or funny is strong. If someone is calm then fred is tall or funny. Everyone who is humble is kind and vice versa. If someone is not generous then someone is funny and vice versa. Everyone who is quiet or not creative is wise or calm and vice versa. If paul is not creative then paul is not hu... | Alice is humble. | entailment | (![X]:((~patient(X)|funny(X))=>strong(X)))&
((?[X]:(calm(X)))=>((tall(fred)|funny(fred))))&
(![X]:(humble(X)<=>kind(X)))&
((?[X]:(~generous(X)))<=>(?[X]:(funny(X))))&
(![X]:((quiet(X)|~creative(X))<=>(wise(X)|calm(X))))&
((~creative(paul))<=>(~humble(paul)))&
(![X]:((funny(X)&kind(X))<=>(wise(X)<~>~happy(X))))&
(((tall... | humble(alice) | [
"p2",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8199525537035563717484266
% SZS output start Proof for 8199525537035563717484266
3. ! [X0] : (humble(X0) <=> kind(X0)) [input p2]
9. ! [X0] : ((tall(X0) | generous(X0)) => (humble(X0) & ~creative(X0))) [input p8]
15. ! [X0] : ((tall(X0) | kind(X0)) <=> (~happy(X0) <~> happy(X0))) [input p... | 0 |
Everyone who is calm is not creative or not quiet.
Everyone who is either not funny or not humble is strong or old.
Everyone who is strong or not happy is quiet and vice versa.
Everyone who is not quiet is tall or wise and vice versa.
Everyone who is either kind or happy is calm or not tall.
Everyone who is not patient... | Fred is not strong. | entailment | (![X]:(calm(X)=>(~creative(X)|~quiet(X))))&
(![X]:((~funny(X)<~>~humble(X))=>(strong(X)|old(X))))&
(![X]:((strong(X)|~happy(X))<=>quiet(X)))&
(![X]:(~quiet(X)<=>(tall(X)|wise(X))))&
(![X]:((kind(X)<~>happy(X))=>(calm(X)|~tall(X))))&
(![X]:((~patient(X)|humble(X))<=>calm(X)))&
((?[X]:(~kind(X)))<=>(?[X]:(strong(X))))&
(... | ~strong(fred) | [
"p2",
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6357036725908407614367886
% SZS output start Proof for 6357036725908407614367886
3. ! [X0] : ((~happy(X0) | strong(X0)) <=> quiet(X0)) [input p2]
4. ! [X0] : (~quiet(X0) <=> (wise(X0) | tall(X0))) [input p3]
18. tall(fred) [input p17]
25. strong(fred) [input hypothesis]
47. ! [X0] : (((~h... | 0 |
Everyone who is humble is both not creative and not humble and vice versa.
Everyone who is either brave or not patient is not calm and vice versa.
Everyone who is not funny is either not rich or not kind.
If lucy is either not curious or old then someone is not generous or not happy and vice versa.
If john is both humb... | Susan is humble. | contradiction | (![X]:(humble(X)<=>(~creative(X)&~humble(X))))&
(![X]:((brave(X)<~>~patient(X))<=>~calm(X)))&
(![X]:(~funny(X)=>(~rich(X)<~>~kind(X))))&
(((~curious(lucy)<~>old(lucy)))<=>(?[X]:((~generous(X)|~happy(X)))))&
(((humble(john)&~curious(john)))=>(?[X]:(happy(X))))&
(![X]:((patient(X)&generous(X))=>(calm(X)<~>~tall(X))))&
((... | humble(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5772695367951031028114553
% SZS output start Proof for 5772695367951031028114553
1. ! [X0] : (humble(X0) <=> (~humble(X0) & ~creative(X0))) [input p0]
24. humble(susan) [input hypothesis]
42. ! [X0] : ((humble(X0) | (humble(X0) | creative(X0))) & ((~humble(X0) & ~creative(X0)) | ~humble(X... | 0 |
Everyone who is both not happy and generous is either wise or calm.
Everyone who is both not generous and tall is not humble and vice versa.
Everyone who is not curious or not calm is both old and not patient and vice versa.
Everyone who is creative or not humble is creative or not funny and vice versa.
Everyone who is... | Lucy is happy. | neutral | (![X]:((~happy(X)&generous(X))=>(wise(X)<~>calm(X))))&
(![X]:((~generous(X)&tall(X))<=>~humble(X)))&
(![X]:((~curious(X)|~calm(X))<=>(old(X)&~patient(X))))&
(![X]:((creative(X)|~humble(X))<=>(creative(X)|~funny(X))))&
(![X]:((funny(X)|quiet(X))=>~creative(X)))&
((~old(susan))<=>(?[X]:((brave(X)|~brave(X)))))&
((?[X]:((... | happy(lucy) | [] | null | 0 |
Everyone who is not quiet is brave or wise. Everyone who is both curious and happy is not brave. Everyone who is tall or creative is funny. Everyone who is either creative or not funny is either not generous or not calm. Everyone who is not creative is humble and vice versa. Everyone who is not creative is rich or funn... | Lucy is not wise. | neutral | (![X]:(~quiet(X)=>(brave(X)|wise(X))))&
(![X]:((curious(X)&happy(X))=>~brave(X)))&
(![X]:((tall(X)|creative(X))=>funny(X)))&
(![X]:((creative(X)<~>~funny(X))=>(~generous(X)<~>~calm(X))))&
(![X]:(~creative(X)<=>humble(X)))&
(![X]:(~creative(X)<=>(rich(X)|funny(X))))&
(![X]:((~humble(X)|~funny(X))<=>(tall(X)&~funny(X))))... | ~wise(lucy) | [] | null | 0 |
If alice is not rich then someone is both not old and old. If someone is not wise then mary is either not brave or curious and vice versa. Everyone who is either brave or not brave is not patient and vice versa. If someone is either creative or not wise then john is wise or not happy and vice versa. Everyone who is qui... | Mary is rich. | neutral | ((~rich(alice))=>(?[X]:((~old(X)&old(X)))))&
((?[X]:(~wise(X)))<=>((~brave(mary)<~>curious(mary))))&
(![X]:((brave(X)<~>~brave(X))<=>~patient(X)))&
((?[X]:((creative(X)<~>~wise(X))))<=>((wise(john)|~happy(john))))&
(![X]:((quiet(X)|tall(X))<=>(~quiet(X)&happy(X))))&
(![X]:(generous(X)=>(tall(X)<~>~humble(X))))&
((?[X]:... | rich(mary) | [] | null | 0 |
If paul is both brave and generous then someone is either funny or not quiet and vice versa. If fred is not generous then someone is either not brave or rich. If someone is either not wise or old then someone is happy and vice versa. Everyone who is not curious is either not creative or kind. Everyone who is generous o... | Fred is not rich. | contradiction | (((brave(paul)&generous(paul)))<=>(?[X]:((funny(X)<~>~quiet(X)))))&
((~generous(fred))=>(?[X]:((~brave(X)<~>rich(X)))))&
((?[X]:((~wise(X)<~>old(X))))<=>(?[X]:(happy(X))))&
(![X]:(~curious(X)=>(~creative(X)<~>kind(X))))&
(![X]:((generous(X)|~generous(X))<=>~brave(X)))&
(![X]:((~tall(X)<~>strong(X))<=>(calm(X)<~>~tall(X... | ~rich(fred) | [
"p4",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6178728669930422789184830
% SZS output start Proof for 6178728669930422789184830
5. ! [X0] : ((~generous(X0) | generous(X0)) <=> ~brave(X0)) [input p4]
9. ! [X0] : (~quiet(X0) => rich(X0)) [input p8]
15. ! [X0] : ((~quiet(X0) & ~humble(X0)) <=> (kind(X0) | ~brave(X0))) [input p14]
24. ~ri... | 0 |
If someone is happy then mary is strong or not calm.
Everyone who is either not tall or not patient is both not brave and not quiet.
If mary is tall then someone is not tall or not brave and vice versa.
If someone is both calm and not old then paul is strong and vice versa.
Everyone who is both calm and not old is not ... | Mary is not patient. | contradiction | ((?[X]:(happy(X)))=>((strong(mary)|~calm(mary))))&
(![X]:((~tall(X)<~>~patient(X))=>(~brave(X)&~quiet(X))))&
((tall(mary))<=>(?[X]:((~tall(X)|~brave(X)))))&
((?[X]:((calm(X)&~old(X))))<=>(strong(paul)))&
(![X]:((calm(X)&~old(X))=>~curious(X)))&
((?[X]:(wise(X)))<=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((generous(X)|ric... | ~patient(mary) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8632102272069038145521506
% SZS output start Proof for 8632102272069038145521506
2. ! [X0] : ((~tall(X0) <~> ~patient(X0)) => (~quiet(X0) & ~brave(X0))) [input p1]
3. tall(mary) <=> ? [X0] : (~brave(X0) | ~tall(X0)) [input p2]
11. ? [X0] : ~quiet(X0) <=> (~rich(alice) & rich(alice)) [inpu... | 0 |
If someone is either not rich or kind then paul is humble.
Everyone who is either not tall or old is generous.
If fred is curious or humble then susan is either not wise or brave.
If alice is both wise and not brave then alice is either generous or quiet and vice versa.
If alice is either not quiet or not brave then so... | Fred is not strong. | contradiction | ((?[X]:((~rich(X)<~>kind(X))))=>(humble(paul)))&
(![X]:((~tall(X)<~>old(X))=>generous(X)))&
(((curious(fred)|humble(fred)))=>((~wise(susan)<~>brave(susan))))&
(((wise(alice)&~brave(alice)))<=>((generous(alice)<~>quiet(alice))))&
(((~quiet(alice)<~>~brave(alice)))=>(?[X]:((~tall(X)<~>curious(X)))))&
(![X]:((~humble(X)<~... | ~strong(fred) | [
"p1",
"p5",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8108530672835790159976269
% SZS output start Proof for 8108530672835790159976269
2. ! [X0] : ((~tall(X0) <~> old(X0)) => generous(X0)) [input p1]
6. ! [X0] : ((~humble(X0) <~> old(X0)) => (~old(X0) | strong(X0))) [input p5]
13. ! [X0] : ((happy(X0) | tall(X0)) <=> (curious(X0) & ~curious(... | 0 |
If someone is both quiet and not wise then someone is either not kind or not curious and vice versa.
Everyone who is both wise and kind is wise.
Everyone who is funny is both not tall and not brave.
Everyone who is not humble or creative is tall or not tall.
If someone is both brave and not creative then fred is quiet ... | John is kind. | neutral | ((?[X]:((quiet(X)&~wise(X))))<=>(?[X]:((~kind(X)<~>~curious(X)))))&
(![X]:((wise(X)&kind(X))=>wise(X)))&
(![X]:(funny(X)=>(~tall(X)&~brave(X))))&
(![X]:((~humble(X)|creative(X))=>(tall(X)|~tall(X))))&
((?[X]:((brave(X)&~creative(X))))<=>(quiet(fred)))&
(![X]:((~generous(X)|humble(X))<=>(strong(X)<~>~strong(X))))&
(![X]... | kind(john) | [] | null | 0 |
Everyone who is either not patient or old is funny and vice versa. Everyone who is funny or kind is old and vice versa. Everyone who is curious is happy or not quiet and vice versa. Everyone who is old or not curious is either not brave or tall. Everyone who is old or not quiet is either not brave or not generous and v... | Susan is calm. | neutral | (![X]:((~patient(X)<~>old(X))<=>funny(X)))&
(![X]:((funny(X)|kind(X))<=>old(X)))&
(![X]:(curious(X)<=>(happy(X)|~quiet(X))))&
(![X]:((old(X)|~curious(X))=>(~brave(X)<~>tall(X))))&
(![X]:((old(X)|~quiet(X))<=>(~brave(X)<~>~generous(X))))&
(![X]:((happy(X)&~happy(X))<=>(~old(X)&strong(X))))&
((funny(john))=>(?[X]:((humbl... | calm(susan) | [] | null | 0 |
Everyone who is happy is either wise or not quiet.
If alice is creative or not calm then paul is curious.
If fred is happy or quiet then someone is not tall or quiet.
Everyone who is generous or not wise is kind.
Everyone who is not rich or not humble is funny.
If someone is wise or not humble then john is not rich and... | John is not brave. | entailment | (![X]:(happy(X)=>(wise(X)<~>~quiet(X))))&
(((creative(alice)|~calm(alice)))=>(curious(paul)))&
(((happy(fred)|quiet(fred)))=>(?[X]:((~tall(X)|quiet(X)))))&
(![X]:((generous(X)|~wise(X))=>kind(X)))&
(![X]:((~rich(X)|~humble(X))=>funny(X)))&
((?[X]:((wise(X)|~humble(X))))<=>(~rich(john)))&
(![X]:(generous(X)<=>(brave(X)<... | ~brave(john) | [
"p3",
"p4",
"p5",
"p13",
"p17",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7249709384488648944635743
% SZS output start Proof for 7249709384488648944635743
4. ! [X0] : ((~wise(X0) | generous(X0)) => kind(X0)) [input p3]
5. ! [X0] : ((~humble(X0) | ~rich(X0)) => funny(X0)) [input p4]
6. ? [X0] : (~humble(X0) | wise(X0)) <=> ~rich(john) [input p5]
14. ? [X0] : (qu... | 0 |
Everyone who is both rich and not generous is creative or patient and vice versa.
Everyone who is both not strong and not creative is both not generous and creative and vice versa.
Everyone who is kind is not creative or not curious and vice versa.
If someone is not old then john is either calm or not rich and vice ver... | Susan is not tall. | entailment | (![X]:((rich(X)&~generous(X))<=>(creative(X)|patient(X))))&
(![X]:((~strong(X)&~creative(X))<=>(~generous(X)&creative(X))))&
(![X]:(kind(X)<=>(~creative(X)|~curious(X))))&
((?[X]:(~old(X)))<=>((calm(john)<~>~rich(john))))&
(((generous(lucy)&wise(lucy)))<=>(?[X]:((~creative(X)&tall(X)))))&
(((~funny(susan)&old(susan)))=... | ~tall(susan) | [
"p0",
"p1",
"p2",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1564794509426441256716697
% SZS output start Proof for 1564794509426441256716697
1. ! [X0] : ((~generous(X0) & rich(X0)) <=> (patient(X0) | creative(X0))) [input p0]
2. ! [X0] : ((~creative(X0) & ~strong(X0)) <=> (creative(X0) & ~generous(X0))) [input p1]
3. ! [X0] : (kind(X0) <=> (~curio... | 0 |
Everyone who is brave or generous is either tall or strong and vice versa. Everyone who is not curious or not calm is either strong or not humble. If someone is not happy then john is either not happy or tall and vice versa. If someone is either not kind or tall then someone is not humble. Everyone who is both humble a... | Alice is not happy. | entailment | (![X]:((brave(X)|generous(X))<=>(tall(X)<~>strong(X))))&
(![X]:((~curious(X)|~calm(X))=>(strong(X)<~>~humble(X))))&
((?[X]:(~happy(X)))<=>((~happy(john)<~>tall(john))))&
((?[X]:((~kind(X)<~>tall(X))))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)&~funny(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((~kind(X)&creative(X))=>calm(X... | ~happy(alice) | [
"p1",
"p4",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 641174697666187249499769
% SZS output start Proof for 641174697666187249499769
2. ! [X0] : ((~calm(X0) | ~curious(X0)) => (strong(X0) <~> ~humble(X0))) [input p1]
5. ! [X0] : ((~funny(X0) & humble(X0)) <=> (~strong(X0) <~> ~happy(X0))) [input p4]
9. ! [X0] : ((~calm(X0) | ~strong(X0)) <=>... | 0 |
Everyone who is both not old and brave is not strong or not quiet and vice versa.
If someone is wise or kind then someone is either not tall or not wise.
Everyone who is either brave or quiet is not funny.
Everyone who is both not old and wise is happy or not curious.
If someone is humble or not curious then someone is... | Paul is kind. | neutral | (![X]:((~old(X)&brave(X))<=>(~strong(X)|~quiet(X))))&
((?[X]:((wise(X)|kind(X))))=>(?[X]:((~tall(X)<~>~wise(X)))))&
(![X]:((brave(X)<~>quiet(X))=>~funny(X)))&
(![X]:((~old(X)&wise(X))=>(happy(X)|~curious(X))))&
((?[X]:((humble(X)|~curious(X))))<=>(?[X]:(~generous(X))))&
((calm(alice))=>(?[X]:((brave(X)<~>~strong(X)))))... | kind(paul) | [] | null | 0 |
Everyone who is funny or not happy is funny.
Everyone who is not wise is old and vice versa.
Everyone who is both not quiet and not funny is either wise or rich.
If someone is both not quiet and wise then someone is rich.
If someone is happy then mary is either humble or not quiet and vice versa.
Everyone who is either... | John is not calm. | contradiction | (![X]:((funny(X)|~happy(X))=>funny(X)))&
(![X]:(~wise(X)<=>old(X)))&
(![X]:((~quiet(X)&~funny(X))=>(wise(X)<~>rich(X))))&
((?[X]:((~quiet(X)&wise(X))))=>(?[X]:(rich(X))))&
((?[X]:(happy(X)))<=>((humble(mary)<~>~quiet(mary))))&
(![X]:((~strong(X)<~>~happy(X))<=>(quiet(X)&~old(X))))&
((patient(paul))<=>(?[X]:((~patient(X... | ~calm(john) | [
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5871190321964861038661286
% SZS output start Proof for 5871190321964861038661286
7. patient(paul) <=> ? [X0] : (patient(X0) & ~patient(X0)) [input p6]
8. ! [X0] : ((~humble(X0) & ~rich(X0)) <=> ~patient(X0)) [input p7]
9. ? [X0] : ~calm(X0) <=> (calm(paul) & rich(paul)) [input p8]
25. ~ca... | 0 |
Everyone who is both not tall and patient is either not patient or tall.
Everyone who is rich is not tall and vice versa.
If someone is humble then fred is either not humble or not patient and vice versa.
Everyone who is happy or curious is either brave or not happy and vice versa.
Everyone who is both not creative and... | John is curious. | neutral | (![X]:((~tall(X)&patient(X))=>(~patient(X)<~>tall(X))))&
(![X]:(rich(X)<=>~tall(X)))&
((?[X]:(humble(X)))<=>((~humble(fred)<~>~patient(fred))))&
(![X]:((happy(X)|curious(X))<=>(brave(X)<~>~happy(X))))&
(![X]:((~creative(X)&curious(X))<=>(calm(X)<~>~quiet(X))))&
(((~tall(alice)<~>tall(alice)))=>((rich(john)&old(john))))... | curious(john) | [] | null | 0 |
Everyone who is either not strong or not patient is either humble or patient and vice versa.
Everyone who is humble is calm and vice versa.
Everyone who is both not kind and not quiet is not creative or not happy and vice versa.
If someone is not curious or not strong then someone is either not calm or not humble and v... | John is not generous. | neutral | (![X]:((~strong(X)<~>~patient(X))<=>(humble(X)<~>patient(X))))&
(![X]:(humble(X)<=>calm(X)))&
(![X]:((~kind(X)&~quiet(X))<=>(~creative(X)|~happy(X))))&
((?[X]:((~curious(X)|~strong(X))))<=>(?[X]:((~calm(X)<~>~humble(X)))))&
(((tall(paul)|old(paul)))<=>(?[X]:((tall(X)&~kind(X)))))&
(((brave(mary)|funny(mary)))<=>((~tall... | ~generous(john) | [] | null | 0 |
If john is either rich or not patient then paul is either generous or calm and vice versa. If paul is both not old and humble then someone is both kind and brave and vice versa. Everyone who is both not brave and not tall is not curious. Everyone who is happy is both strong and not tall and vice versa. Everyone who is ... | Mary is generous. | neutral | (((rich(john)<~>~patient(john)))<=>((generous(paul)<~>calm(paul))))&
(((~old(paul)&humble(paul)))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:((~brave(X)&~tall(X))=>~curious(X)))&
(![X]:(happy(X)<=>(strong(X)&~tall(X))))&
(![X]:((~brave(X)<~>kind(X))<=>(~wise(X)<~>creative(X))))&
(![X]:((~calm(X)<~>~tall(X))<=>calm(X)))&
((?... | generous(mary) | [] | null | 0 |
Everyone who is either not patient or creative is both not rich and generous and vice versa. Everyone who is either kind or happy is either not tall or not humble. Everyone who is not happy is humble or not funny. If paul is either not old or not wise then someone is not calm and vice versa. Everyone who is not tall is... | Paul is not tall. | entailment | (![X]:((~patient(X)<~>creative(X))<=>(~rich(X)&generous(X))))&
(![X]:((kind(X)<~>happy(X))=>(~tall(X)<~>~humble(X))))&
(![X]:(~happy(X)=>(humble(X)|~funny(X))))&
(((~old(paul)<~>~wise(paul)))<=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(~rich(X)|creative(X))))&
(![X]:((~brave(X)<~>strong(X))<=>(~quiet(X)|patient(X))))&
(![... | ~tall(paul) | [
"p1",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8838551667776728149854353
% SZS output start Proof for 8838551667776728149854353
2. ! [X0] : ((kind(X0) <~> happy(X0)) => (~tall(X0) <~> ~humble(X0))) [input p1]
9. ? [X0] : (~old(X0) & old(X0)) <=> ? [X0] : (~humble(X0) <~> kind(X0)) [input p8]
11. ! [X0] : ((happy(X0) <~> ~brave(X0)) <=... | 0 |
If someone is both not strong and humble then someone is both happy and rich and vice versa.
Everyone who is rich or not curious is not patient and vice versa.
Everyone who is both old and not old is both not generous and not tall.
If someone is kind then fred is not curious or rich and vice versa.
Everyone who is not ... | Mary is kind. | neutral | ((?[X]:((~strong(X)&humble(X))))<=>(?[X]:((happy(X)&rich(X)))))&
(![X]:((rich(X)|~curious(X))<=>~patient(X)))&
(![X]:((old(X)&~old(X))=>(~generous(X)&~tall(X))))&
((?[X]:(kind(X)))<=>((~curious(fred)|rich(fred))))&
(![X]:((~tall(X)|~rich(X))=>(~old(X)&~calm(X))))&
(![X]:((brave(X)&~quiet(X))<=>creative(X)))&
(![X]:((~c... | kind(mary) | [] | null | 0 |
If someone is either not calm or wise then alice is both patient and creative and vice versa. If someone is both curious and tall then someone is both rich and not rich. Everyone who is not happy is quiet or not quiet and vice versa. Everyone who is not strong or rich is both not curious and not kind and vice versa. If... | Alice is not rich. | entailment | ((?[X]:((~calm(X)<~>wise(X))))<=>((patient(alice)&creative(alice))))&
((?[X]:((curious(X)&tall(X))))=>(?[X]:((rich(X)&~rich(X)))))&
(![X]:(~happy(X)<=>(quiet(X)|~quiet(X))))&
(![X]:((~strong(X)|rich(X))<=>(~curious(X)&~kind(X))))&
(((wise(susan)&kind(susan)))=>((~strong(susan)|curious(susan))))&
(![X]:((~wise(X)|~quiet... | ~rich(alice) | [
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6729178970984157196879081
% SZS output start Proof for 6729178970984157196879081
4. ! [X0] : ((rich(X0) | ~strong(X0)) <=> (~kind(X0) & ~curious(X0))) [input p3]
11. ! [X0] : ((~brave(X0) <~> ~tall(X0)) <=> (rich(X0) <~> ~brave(X0))) [input p10]
16. ! [X0] : (~kind(X0) <=> (~tall(X0) <~> ... | 0 |
If someone is happy or not calm then mary is both not strong and not happy and vice versa. If alice is rich or not patient then john is either not kind or not creative. If john is either not patient or not kind then paul is kind or not happy and vice versa. If someone is kind or not strong then someone is humble. Every... | Mary is funny. | neutral | ((?[X]:((happy(X)|~calm(X))))<=>((~strong(mary)&~happy(mary))))&
(((rich(alice)|~patient(alice)))=>((~kind(john)<~>~creative(john))))&
(((~patient(john)<~>~kind(john)))<=>((kind(paul)|~happy(paul))))&
((?[X]:((kind(X)|~strong(X))))=>(?[X]:(humble(X))))&
(![X]:((wise(X)&happy(X))<=>(~rich(X)|~quiet(X))))&
((?[X]:(old(X)... | funny(mary) | [] | null | 0 |
Everyone who is either not strong or not old is calm or brave. Everyone who is either kind or not generous is either not creative or not humble and vice versa. Everyone who is not quiet is both not calm and not quiet and vice versa. Everyone who is quiet is either not strong or not old and vice versa. Everyone who is n... | Fred is curious. | entailment | (![X]:((~strong(X)<~>~old(X))=>(calm(X)|brave(X))))&
(![X]:((kind(X)<~>~generous(X))<=>(~creative(X)<~>~humble(X))))&
(![X]:(~quiet(X)<=>(~calm(X)&~quiet(X))))&
(![X]:(quiet(X)<=>(~strong(X)<~>~old(X))))&
(![X]:(~kind(X)<=>(~calm(X)|brave(X))))&
(![X]:((happy(X)|rich(X))=>(~brave(X)&calm(X))))&
(![X]:((happy(X)<~>quiet... | curious(fred) | [
"p2",
"p4",
"p5",
"p6",
"p8",
"p10",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2958642258029877924128911
% SZS output start Proof for 2958642258029877924128911
3. ! [X0] : (~quiet(X0) <=> (~quiet(X0) & ~calm(X0))) [input p2]
5. ! [X0] : (~kind(X0) <=> (brave(X0) | ~calm(X0))) [input p4]
6. ! [X0] : ((rich(X0) | happy(X0)) => (calm(X0) & ~brave(X0))) [input p5]
7. ! ... | 0 |
Everyone who is not humble is both not tall and not quiet and vice versa. If someone is quiet then paul is funny and vice versa. Everyone who is creative or strong is both not kind and not curious. If paul is not quiet then paul is either not wise or old and vice versa. Everyone who is patient is either brave or not hu... | Paul is not wise. | neutral | (![X]:(~humble(X)<=>(~tall(X)&~quiet(X))))&
((?[X]:(quiet(X)))<=>(funny(paul)))&
(![X]:((creative(X)|strong(X))=>(~kind(X)&~curious(X))))&
((~quiet(paul))<=>((~wise(paul)<~>old(paul))))&
(![X]:(patient(X)<=>(brave(X)<~>~humble(X))))&
(((brave(john)&humble(john)))=>(?[X]:((~strong(X)|~creative(X)))))&
((~kind(fred))<=>(... | ~wise(paul) | [] | null | 0 |
Everyone who is humble or not creative is not calm.
Everyone who is happy or not rich is either not generous or creative.
Everyone who is both not generous and wise is curious or not happy and vice versa.
Everyone who is not tall is either strong or not tall.
Everyone who is both not curious and brave is not kind or no... | John is curious. | entailment | (![X]:((humble(X)|~creative(X))=>~calm(X)))&
(![X]:((happy(X)|~rich(X))=>(~generous(X)<~>creative(X))))&
(![X]:((~generous(X)&wise(X))<=>(curious(X)|~happy(X))))&
(![X]:(~tall(X)=>(strong(X)<~>~tall(X))))&
(![X]:((~curious(X)&brave(X))<=>(~kind(X)|~curious(X))))&
(![X]:(kind(X)=>old(X)))&
((quiet(john))<=>(?[X]:((~wise... | curious(john) | [
"p0",
"p1",
"p2",
"p4",
"p5",
"p6",
"p8",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4349851389187218163632375
% SZS output start Proof for 4349851389187218163632375
1. ! [X0] : ((~creative(X0) | humble(X0)) => ~calm(X0)) [input p0]
2. ! [X0] : ((~rich(X0) | happy(X0)) => (~generous(X0) <~> creative(X0))) [input p1]
3. ! [X0] : ((wise(X0) & ~generous(X0)) <=> (~happy(X0) ... | 0 |
If someone is not creative then someone is both not humble and creative and vice versa. Everyone who is not happy is curious or not quiet. If someone is strong or calm then mary is not wise or old. Everyone who is both not curious and not wise is not creative or not kind and vice versa. If lucy is either not tall or no... | Mary is humble. | entailment | ((?[X]:(~creative(X)))<=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:(~happy(X)=>(curious(X)|~quiet(X))))&
((?[X]:((strong(X)|calm(X))))=>((~wise(mary)|old(mary))))&
(![X]:((~curious(X)&~wise(X))<=>(~creative(X)|~kind(X))))&
(((~tall(lucy)<~>~happy(lucy)))=>(?[X]:((~calm(X)|tall(X)))))&
(![X]:((~strong(X)<~>~patient(X))<... | humble(mary) | [
"p0",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 100637771064137513872018
% SZS output start Proof for 100637771064137513872018
1. ? [X0] : ~creative(X0) <=> ? [X0] : (creative(X0) & ~humble(X0)) [input p0]
4. ! [X0] : ((~wise(X0) & ~curious(X0)) <=> (~kind(X0) | ~creative(X0))) [input p3]
10. ! [X0] : ((~old(X0) <~> ~curious(X0)) <=> ~... | 0 |
Everyone who is either quiet or brave is both not wise and brave.
If fred is tall then paul is not brave or not tall.
Everyone who is not quiet or not wise is funny.
If alice is quiet or not humble then someone is happy and vice versa.
Everyone who is not calm or strong is both not creative and not happy and vice versa... | Lucy is not patient. | neutral | (![X]:((quiet(X)<~>brave(X))=>(~wise(X)&brave(X))))&
((tall(fred))=>((~brave(paul)|~tall(paul))))&
(![X]:((~quiet(X)|~wise(X))=>funny(X)))&
(((quiet(alice)|~humble(alice)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|strong(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((humble(X)|~calm(X))))=>(?[X]:((generous(X)&~humble(X)))))&... | ~patient(lucy) | [] | null | 0 |
If alice is either curious or not curious then alice is old.
Everyone who is either not strong or not brave is not rich or not quiet and vice versa.
Everyone who is curious is calm and vice versa.
Everyone who is either not brave or happy is either not kind or generous.
Everyone who is not funny is either calm or not k... | Lucy is happy. | entailment | (((curious(alice)<~>~curious(alice)))=>(old(alice)))&
(![X]:((~strong(X)<~>~brave(X))<=>(~rich(X)|~quiet(X))))&
(![X]:(curious(X)<=>calm(X)))&
(![X]:((~brave(X)<~>happy(X))=>(~kind(X)<~>generous(X))))&
(![X]:(~funny(X)=>(calm(X)<~>~kind(X))))&
((?[X]:((~calm(X)&rich(X))))<=>((funny(john)|calm(john))))&
(![X]:(~brave(X)... | happy(lucy) | [
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6012338341942503121275178
% SZS output start Proof for 6012338341942503121275178
11. ! [X0] : ((creative(X0) | old(X0)) => happy(X0)) [input p10]
17. old(lucy) [input p16]
25. ~happy(lucy) [input hypothesis]
35. ! [X0] : (happy(X0) | (~creative(X0) & ~old(X0))) [ennf transformation 11]
10... | 0 |
Everyone who is not quiet is either calm or not generous and vice versa.
Everyone who is not happy or happy is both not wise and not patient and vice versa.
Everyone who is not humble is old or tall and vice versa.
If someone is not quiet or not strong then someone is both curious and not tall and vice versa.
If someon... | Paul is not wise. | entailment | (![X]:(~quiet(X)<=>(calm(X)<~>~generous(X))))&
(![X]:((~happy(X)|happy(X))<=>(~wise(X)&~patient(X))))&
(![X]:(~humble(X)<=>(old(X)|tall(X))))&
((?[X]:((~quiet(X)|~strong(X))))<=>(?[X]:((curious(X)&~tall(X)))))&
((?[X]:((~brave(X)&tall(X))))<=>(~tall(lucy)))&
((?[X]:((curious(X)<~>~old(X))))=>((humble(fred)|calm(fred)))... | ~wise(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 2068483740439789206930552
% SZS output start Proof for 2068483740439789206930552
2. ! [X0] : ((happy(X0) | ~happy(X0)) <=> (~patient(X0) & ~wise(X0))) [input p1]
24. wise(paul) [input hypothesis]
35. ! [X0] : (((happy(X0) | ~happy(X0)) | (patient(X0) | wise(X0))) & ((~patient(X0) & ~wise(... | 0 |
If mary is generous or tall then paul is both creative and not tall. If someone is both not brave and not tall then john is either rich or not kind. Everyone who is both not wise and old is both kind and not old. If alice is either patient or funny then fred is both calm and tall. Everyone who is either not calm or not... | Mary is creative. | entailment | (((generous(mary)|tall(mary)))=>((creative(paul)&~tall(paul))))&
((?[X]:((~brave(X)&~tall(X))))=>((rich(john)<~>~kind(john))))&
(![X]:((~wise(X)&old(X))=>(kind(X)&~old(X))))&
(((patient(alice)<~>funny(alice)))=>((calm(fred)&tall(fred))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~generous(X)|brave(X))))&
((?[X]:((rich(X)&~gene... | creative(mary) | [
"p7",
"p8",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 816551901525313272479714
% SZS output start Proof for 816551901525313272479714
8. ! [X0] : ((~creative(X0) | creative(X0)) <=> (generous(X0) | creative(X0))) [input p7]
9. ! [X0] : ((tall(X0) | generous(X0)) => wise(X0)) [input p8]
11. ! [X0] : ((~patient(X0) & ~rich(X0)) <=> (wise(X0) | ... | 0 |
Everyone who is either not calm or not wise is either happy or not happy and vice versa.
Everyone who is either generous or not old is not patient or not kind and vice versa.
If lucy is either curious or brave then paul is both rich and happy and vice versa.
If someone is both not strong and generous then john is eithe... | Lucy is not brave. | neutral | (![X]:((~calm(X)<~>~wise(X))<=>(happy(X)<~>~happy(X))))&
(![X]:((generous(X)<~>~old(X))<=>(~patient(X)|~kind(X))))&
(((curious(lucy)<~>brave(lucy)))<=>((rich(paul)&happy(paul))))&
((?[X]:((~strong(X)&generous(X))))=>((brave(john)<~>~generous(john))))&
(![X]:(~curious(X)=>(~tall(X)&~funny(X))))&
(![X]:(~wise(X)=>(~old(X... | ~brave(lucy) | [] | null | 0 |
If someone is calm or not curious then mary is either wise or funny.
Everyone who is both not calm and calm is both not strong and quiet and vice versa.
If someone is not humble or happy then someone is either brave or wise and vice versa.
Everyone who is either funny or not happy is not kind.
Everyone who is not funny... | Paul is rich. | neutral | ((?[X]:((calm(X)|~curious(X))))=>((wise(mary)<~>funny(mary))))&
(![X]:((~calm(X)&calm(X))<=>(~strong(X)&quiet(X))))&
((?[X]:((~humble(X)|happy(X))))<=>(?[X]:((brave(X)<~>wise(X)))))&
(![X]:((funny(X)<~>~happy(X))=>~kind(X)))&
(![X]:((~funny(X)|brave(X))<=>(strong(X)<~>~brave(X))))&
(![X]:((~creative(X)|wise(X))<=>(funn... | rich(paul) | [] | null | 0 |
Everyone who is not wise is both not kind and not rich.
If susan is kind or creative then fred is wise or not quiet.
If lucy is either not strong or not wise then fred is generous or quiet and vice versa.
Everyone who is happy or strong is either not quiet or patient and vice versa.
Everyone who is both not creative an... | Alice is not generous. | entailment | (![X]:(~wise(X)=>(~kind(X)&~rich(X))))&
(((kind(susan)|creative(susan)))=>((wise(fred)|~quiet(fred))))&
(((~strong(lucy)<~>~wise(lucy)))<=>((generous(fred)|quiet(fred))))&
(![X]:((happy(X)|strong(X))<=>(~quiet(X)<~>patient(X))))&
(![X]:((~creative(X)&~humble(X))=>~creative(X)))&
((~happy(susan))=>(?[X]:((~curious(X)|~b... | ~generous(alice) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7313814283283221411889618
% SZS output start Proof for 7313814283283221411889618
7. ? [X0] : (funny(X0) | humble(X0)) => ~generous(alice) [input p6]
17. funny(lucy) [input p16]
25. generous(alice) [input hypothesis]
36. ~generous(alice) | ! [X0] : (~funny(X0) & ~humble(X0)) [ennf transfor... | 0 |
If mary is both not patient and not calm then susan is either not tall or not curious and vice versa. Everyone who is not old or wise is quiet or not calm and vice versa. Everyone who is both not tall and quiet is both not funny and not rich and vice versa. Everyone who is not rich is rich. Everyone who is not calm or ... | Alice is funny. | neutral | (((~patient(mary)&~calm(mary)))<=>((~tall(susan)<~>~curious(susan))))&
(![X]:((~old(X)|wise(X))<=>(quiet(X)|~calm(X))))&
(![X]:((~tall(X)&quiet(X))<=>(~funny(X)&~rich(X))))&
(![X]:(~rich(X)=>rich(X)))&
(![X]:((~calm(X)|happy(X))<=>(humble(X)&~rich(X))))&
((?[X]:((~brave(X)|~rich(X))))<=>(?[X]:((~strong(X)|~old(X)))))&
... | funny(alice) | [] | null | 0 |
If john is either rich or generous then someone is not brave and vice versa. If someone is not calm or not patient then someone is both calm and not curious and vice versa. Everyone who is wise or not creative is both happy and patient and vice versa. If someone is both not generous and not old then someone is both str... | John is not generous. | neutral | (((rich(john)<~>generous(john)))<=>(?[X]:(~brave(X))))&
((?[X]:((~calm(X)|~patient(X))))<=>(?[X]:((calm(X)&~curious(X)))))&
(![X]:((wise(X)|~creative(X))<=>(happy(X)&patient(X))))&
((?[X]:((~generous(X)&~old(X))))=>(?[X]:((strong(X)&patient(X)))))&
((?[X]:((~rich(X)<~>calm(X))))=>(?[X]:((patient(X)&rich(X)))))&
(![X]:(... | ~generous(john) | [] | null | 0 |
Everyone who is either humble or not curious is not creative or not rich and vice versa.
If fred is quiet then susan is patient or not creative.
Everyone who is either not old or not curious is not old or not quiet and vice versa.
Everyone who is not strong is either not patient or tall.
If someone is strong then mary ... | John is not old. | entailment | (![X]:((humble(X)<~>~curious(X))<=>(~creative(X)|~rich(X))))&
((quiet(fred))=>((patient(susan)|~creative(susan))))&
(![X]:((~old(X)<~>~curious(X))<=>(~old(X)|~quiet(X))))&
(![X]:(~strong(X)=>(~patient(X)<~>tall(X))))&
((?[X]:(strong(X)))=>((wise(mary)&~calm(mary))))&
(![X]:(kind(X)=>(happy(X)<~>~strong(X))))&
(![X]:((c... | ~old(john) | [
"p2",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6223991939938323429530975
% SZS output start Proof for 6223991939938323429530975
3. ! [X0] : ((~old(X0) <~> ~curious(X0)) <=> (~quiet(X0) | ~old(X0))) [input p2]
7. ! [X0] : ((brave(X0) | creative(X0)) <=> ~quiet(X0)) [input p6]
15. ! [X0] : ((~curious(X0) | ~creative(X0)) => (patient(X0)... | 0 |
Everyone who is either patient or not calm is calm and vice versa. If someone is both not patient and not wise then mary is not rich and vice versa. Everyone who is happy is both creative and not wise and vice versa. Everyone who is not strong or calm is not humble or not happy and vice versa. Everyone who is both calm... | Paul is not rich. | neutral | (![X]:((patient(X)<~>~calm(X))<=>calm(X)))&
((?[X]:((~patient(X)&~wise(X))))<=>(~rich(mary)))&
(![X]:(happy(X)<=>(creative(X)&~wise(X))))&
(![X]:((~strong(X)|calm(X))<=>(~humble(X)|~happy(X))))&
(![X]:((calm(X)&creative(X))<=>(rich(X)&~wise(X))))&
(![X]:(~patient(X)=>rich(X)))&
(![X]:((~kind(X)&~generous(X))<=>(~rich(X... | ~rich(paul) | [] | null | 0 |
Everyone who is not old is either old or not kind and vice versa.
Everyone who is both happy and not generous is either generous or not happy and vice versa.
If someone is either not funny or not creative then lucy is either curious or kind and vice versa.
If someone is both creative and calm then susan is either quiet... | Lucy is curious. | entailment | (![X]:(~old(X)<=>(old(X)<~>~kind(X))))&
(![X]:((happy(X)&~generous(X))<=>(generous(X)<~>~happy(X))))&
((?[X]:((~funny(X)<~>~creative(X))))<=>((curious(lucy)<~>kind(lucy))))&
((?[X]:((creative(X)&calm(X))))=>((quiet(susan)<~>~wise(susan))))&
(![X]:(old(X)=>(~quiet(X)<~>kind(X))))&
(((~curious(alice)<~>~brave(alice)))<=>... | curious(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p7",
"p8",
"p9",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6532288302477878197621330
% SZS output start Proof for 6532288302477878197621330
1. ! [X0] : (~old(X0) <=> (old(X0) <~> ~kind(X0))) [input p0]
2. ! [X0] : ((~generous(X0) & happy(X0)) <=> (generous(X0) <~> ~happy(X0))) [input p1]
3. ? [X0] : (~funny(X0) <~> ~creative(X0)) <=> (curious(luc... | 0 |
If john is not strong or not calm then alice is either strong or not funny. Everyone who is both not generous and not patient is both not quiet and not tall and vice versa. Everyone who is both not wise and old is both tall and kind and vice versa. If someone is both humble and happy then someone is tall and vice versa... | Fred is not kind. | entailment | (((~strong(john)|~calm(john)))=>((strong(alice)<~>~funny(alice))))&
(![X]:((~generous(X)&~patient(X))<=>(~quiet(X)&~tall(X))))&
(![X]:((~wise(X)&old(X))<=>(tall(X)&kind(X))))&
((?[X]:((humble(X)&happy(X))))<=>(?[X]:(tall(X))))&
(![X]:((~creative(X)&strong(X))=>creative(X)))&
((?[X]:((kind(X)<~>~happy(X))))=>((~tall(ali... | ~kind(fred) | [
"p1",
"p7",
"p8",
"p10",
"p14",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4419982074065390893288803
% SZS output start Proof for 4419982074065390893288803
2. ! [X0] : ((~patient(X0) & ~generous(X0)) <=> (~tall(X0) & ~quiet(X0))) [input p1]
8. ! [X0] : ((creative(X0) | ~wise(X0)) => (~calm(X0) <~> ~rich(X0))) [input p7]
9. ! [X0] : ((~quiet(X0) | wise(X0)) => (q... | 0 |
Everyone who is kind or not generous is not creative or not old.
If john is happy or curious then alice is brave and vice versa.
If john is either not calm or tall then someone is not funny.
If someone is either not humble or not patient then mary is either curious or not old.
Everyone who is not calm is either not gen... | Susan is humble. | entailment | (![X]:((kind(X)|~generous(X))=>(~creative(X)|~old(X))))&
(((happy(john)|curious(john)))<=>(brave(alice)))&
(((~calm(john)<~>tall(john)))=>(?[X]:(~funny(X))))&
((?[X]:((~humble(X)<~>~patient(X))))=>((curious(mary)<~>~old(mary))))&
(![X]:(~calm(X)=>(~generous(X)<~>~old(X))))&
(![X]:(strong(X)=>(~happy(X)<~>~rich(X))))&
(... | humble(susan) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5320725682232996075500222
% SZS output start Proof for 5320725682232996075500222
22. humble(susan) [input p21]
25. ~humble(susan) [input hypothesis]
137. humble(susan) [cnf transformation 22]
141. ~humble(susan) [cnf transformation 25]
302. 36 <=> humble(susan) [avatar definition]
310. 36... | 0 |
If lucy is old then mary is both creative and rich. Everyone who is not funny or not calm is not generous or humble and vice versa. If fred is kind or not tall then someone is both not humble and generous and vice versa. If mary is not curious or not kind then someone is either creative or humble. Everyone who is eithe... | Susan is not happy. | entailment | ((old(lucy))=>((creative(mary)&rich(mary))))&
(![X]:((~funny(X)|~calm(X))<=>(~generous(X)|humble(X))))&
(((kind(fred)|~tall(fred)))<=>(?[X]:((~humble(X)&generous(X)))))&
(((~curious(mary)|~kind(mary)))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:((brave(X)<~>~happy(X))<=>~curious(X)))&
(![X]:((curious(X)&~funny(X))=>~s... | ~happy(susan) | [
"p8",
"p11",
"p12",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 702734398329017980552615
% SZS output start Proof for 702734398329017980552615
9. ! [X0] : ((funny(X0) & ~creative(X0)) <=> patient(X0)) [input p8]
12. ? [X0] : funny(X0) => (creative(fred) & ~calm(fred)) [input p11]
13. (calm(fred) | happy(fred)) <=> ~patient(fred) [input p12]
15. ! [X0]... | 0 |
If susan is generous then someone is both not strong and not generous.
Everyone who is either tall or quiet is both not creative and humble.
Everyone who is either not brave or not generous is both brave and not quiet and vice versa.
If paul is both not strong and funny then someone is both happy and wise and vice vers... | Paul is not tall. | entailment | ((generous(susan))=>(?[X]:((~strong(X)&~generous(X)))))&
(![X]:((tall(X)<~>quiet(X))=>(~creative(X)&humble(X))))&
(![X]:((~brave(X)<~>~generous(X))<=>(brave(X)&~quiet(X))))&
(((~strong(paul)&funny(paul)))<=>(?[X]:((happy(X)&wise(X)))))&
(![X]:(~tall(X)=>(~humble(X)<~>~funny(X))))&
(![X]:(~rich(X)=>(kind(X)&~tall(X))))&... | ~tall(paul) | [
"p5",
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 354855043194992219978386
% SZS output start Proof for 354855043194992219978386
6. ! [X0] : (~rich(X0) => (~tall(X0) & kind(X0))) [input p5]
7. ! [X0] : ((~brave(X0) | ~rich(X0)) <=> ~old(X0)) [input p6]
8. ! [X0] : (~brave(X0) <=> (~happy(X0) | old(X0))) [input p7]
12. ! [X0] : ((tall(X0)... | 0 |
Everyone who is humble is either not curious or not creative.
If alice is not funny or quiet then someone is not happy and vice versa.
Everyone who is calm or wise is not rich and vice versa.
If someone is quiet then john is not strong and vice versa.
If someone is both brave and humble then susan is not wise or rich a... | Fred is not old. | contradiction | (![X]:(humble(X)=>(~curious(X)<~>~creative(X))))&
(((~funny(alice)|quiet(alice)))<=>(?[X]:(~happy(X))))&
(![X]:((calm(X)|wise(X))<=>~rich(X)))&
((?[X]:(quiet(X)))<=>(~strong(john)))&
((?[X]:((brave(X)&humble(X))))<=>((~wise(susan)|rich(susan))))&
(![X]:((quiet(X)&~tall(X))<=>(~tall(X)<~>quiet(X))))&
(((~brave(paul)<~>~... | ~old(fred) | [
"p2",
"p5",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 652737405216490308981300
% SZS output start Proof for 652737405216490308981300
3. ! [X0] : ((wise(X0) | calm(X0)) <=> ~rich(X0)) [input p2]
6. ! [X0] : ((~tall(X0) & quiet(X0)) <=> (~tall(X0) <~> quiet(X0))) [input p5]
10. ! [X0] : ((~calm(X0) | ~happy(X0)) <=> (old(X0) | quiet(X0))) [inp... | 0 |
If someone is not curious then paul is either not strong or not funny.
Everyone who is either happy or rich is patient or not strong and vice versa.
If someone is funny then paul is either not kind or calm and vice versa.
Everyone who is wise is both rich and not brave.
If john is brave then someone is wise and vice ve... | Mary is not rich. | contradiction | ((?[X]:(~curious(X)))=>((~strong(paul)<~>~funny(paul))))&
(![X]:((happy(X)<~>rich(X))<=>(patient(X)|~strong(X))))&
((?[X]:(funny(X)))<=>((~kind(paul)<~>calm(paul))))&
(![X]:(wise(X)=>(rich(X)&~brave(X))))&
((brave(john))<=>(?[X]:(wise(X))))&
((?[X]:((~strong(X)&brave(X))))=>(?[X]:(~calm(X))))&
((?[X]:((curious(X)<~>hap... | ~rich(mary) | [
"p3",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2193882306097230114908018
% SZS output start Proof for 2193882306097230114908018
4. ! [X0] : (wise(X0) => (~brave(X0) & rich(X0))) [input p3]
21. wise(mary) & ~kind(mary) [input p20]
25. ~rich(mary) [input hypothesis]
30. ! [X0] : ((~brave(X0) & rich(X0)) | ~wise(X0)) [ennf transformation... | 0 |
Everyone who is both not quiet and not curious is either not brave or old. Everyone who is not quiet or brave is either calm or humble. If paul is not curious or not brave then alice is quiet or rich and vice versa. Everyone who is not calm is either brave or not old. Everyone who is both not creative and not strong is... | Alice is not old. | neutral | (![X]:((~quiet(X)&~curious(X))=>(~brave(X)<~>old(X))))&
(![X]:((~quiet(X)|brave(X))=>(calm(X)<~>humble(X))))&
(((~curious(paul)|~brave(paul)))<=>((quiet(alice)|rich(alice))))&
(![X]:(~calm(X)=>(brave(X)<~>~old(X))))&
(![X]:((~creative(X)&~strong(X))=>(~creative(X)&curious(X))))&
(![X]:((~humble(X)|~generous(X))<=>(~cre... | ~old(alice) | [] | null | 0 |
Everyone who is both not funny and not quiet is both not patient and not tall.
If lucy is curious then someone is not old and vice versa.
Everyone who is both patient and old is either not wise or not old and vice versa.
If lucy is either not calm or funny then john is not curious or not patient.
Everyone who is both n... | Alice is curious. | contradiction | (![X]:((~funny(X)&~quiet(X))=>(~patient(X)&~tall(X))))&
((curious(lucy))<=>(?[X]:(~old(X))))&
(![X]:((patient(X)&old(X))<=>(~wise(X)<~>~old(X))))&
(((~calm(lucy)<~>funny(lucy)))=>((~curious(john)|~patient(john))))&
(![X]:((~generous(X)&quiet(X))=>(~calm(X)<~>~creative(X))))&
((?[X]:((old(X)<~>patient(X))))<=>(?[X]:((~c... | curious(alice) | [
"p16",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6899173694249382660591147
% SZS output start Proof for 6899173694249382660591147
17. ~curious(alice) <~> calm(alice) [input p16]
18. quiet(alice) & ~calm(alice) [input p17]
25. curious(alice) [input hypothesis]
68. (~calm(alice) | curious(alice)) & (calm(alice) | ~curious(alice)) [nnf tra... | 0 |
If mary is not funny then fred is either not old or not wise and vice versa.
Everyone who is either not wise or not happy is both humble and kind and vice versa.
Everyone who is old or kind is both not creative and strong and vice versa.
Everyone who is either creative or kind is both curious and not generous and vice ... | Paul is happy. | contradiction | ((~funny(mary))<=>((~old(fred)<~>~wise(fred))))&
(![X]:((~wise(X)<~>~happy(X))<=>(humble(X)&kind(X))))&
(![X]:((old(X)|kind(X))<=>(~creative(X)&strong(X))))&
(![X]:((creative(X)<~>kind(X))<=>(curious(X)&~generous(X))))&
(![X]:((tall(X)<~>~humble(X))<=>(brave(X)<~>~calm(X))))&
(![X]:((creative(X)<~>~funny(X))=>humble(X)... | happy(paul) | [
"p1",
"p2",
"p3",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 426930943869752340740860
% SZS output start Proof for 426930943869752340740860
2. ! [X0] : ((~wise(X0) <~> ~happy(X0)) <=> (kind(X0) & humble(X0))) [input p1]
3. ! [X0] : ((kind(X0) | old(X0)) <=> (strong(X0) & ~creative(X0))) [input p2]
4. ! [X0] : ((creative(X0) <~> kind(X0)) <=> (~gene... | 0 |
If mary is quiet then john is not calm or humble. If susan is funny then someone is old and vice versa. If paul is curious then someone is both quiet and creative. If someone is not curious or rich then someone is either not generous or not strong and vice versa. Everyone who is either creative or old is not calm or no... | John is humble. | contradiction | ((quiet(mary))=>((~calm(john)|humble(john))))&
((funny(susan))<=>(?[X]:(old(X))))&
((curious(paul))=>(?[X]:((quiet(X)&creative(X)))))&
((?[X]:((~curious(X)|rich(X))))<=>(?[X]:((~generous(X)<~>~strong(X)))))&
(![X]:((creative(X)<~>old(X))<=>(~calm(X)|~curious(X))))&
(![X]:((wise(X)<~>~quiet(X))=>brave(X)))&
(![X]:(~pati... | humble(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1201310502069082304239316
% SZS output start Proof for 1201310502069082304239316
19. ~tall(john) & ~humble(john) [input p18]
25. humble(john) [input hypothesis]
138. ~humble(john) [cnf transformation 19]
147. humble(john) [cnf transformation 25]
157. 3 <=> humble(john) [avatar definition]... | 0 |
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