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 someone is both curious and rich then paul is either happy or funny. Everyone who is not funny is both generous and not funny and vice versa. If someone is either tall or not brave then lucy is brave. If susan is either funny or tall then someone is either not brave or rich and vice versa. If someone is not funny or... | Alice is not patient. | entailment | ((?[X]:((curious(X)&rich(X))))=>((happy(paul)<~>funny(paul))))&
(![X]:(~funny(X)<=>(generous(X)&~funny(X))))&
((?[X]:((tall(X)<~>~brave(X))))=>(brave(lucy)))&
(((funny(susan)<~>tall(susan)))<=>(?[X]:((~brave(X)<~>rich(X)))))&
((?[X]:((~funny(X)|~humble(X))))<=>(?[X]:((~brave(X)|wise(X)))))&
((~curious(susan))=>(?[X]:(~... | ~patient(alice) | [
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8669758685514638746982560
% SZS output start Proof for 8669758685514638746982560
12. ! [X0] : ((~wise(X0) | ~happy(X0)) => (~rich(X0) & ~patient(X0))) [input p11]
20. ~happy(alice) & ~quiet(alice) [input p19]
24. patient(alice) [input hypothesis]
34. ! [X0] : ((~rich(X0) & ~patient(X0)) |... | 0 |
If someone is both not brave and brave then someone is not creative or not generous and vice versa. Everyone who is not kind or kind is both not brave and not kind. Everyone who is not humble or not brave is strong or not generous. Everyone who is not strong is both happy and not quiet. If lucy is either not generous o... | Mary is strong. | entailment | ((?[X]:((~brave(X)&brave(X))))<=>(?[X]:((~creative(X)|~generous(X)))))&
(![X]:((~kind(X)|kind(X))=>(~brave(X)&~kind(X))))&
(![X]:((~humble(X)|~brave(X))=>(strong(X)|~generous(X))))&
(![X]:(~strong(X)=>(happy(X)&~quiet(X))))&
(((~generous(lucy)<~>generous(lucy)))<=>((~wise(susan)<~>~strong(susan))))&
(((brave(alice)|cal... | strong(mary) | [
"p0",
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 2505120047192381255860171
% SZS output start Proof for 2505120047192381255860171
1. ? [X0] : (brave(X0) & ~brave(X0)) <=> ? [X0] : (~generous(X0) | ~creative(X0)) [input p0]
2. ! [X0] : ((kind(X0) | ~kind(X0)) => (~kind(X0) & ~brave(X0))) [input p1]
3. ! [X0] : ((~brave(X0) | ~humble(X0))... | 0 |
Everyone who is either curious or not strong is both not generous and not rich.
If paul is both not quiet and rich then fred is happy or not strong.
If paul is not patient then fred is either not rich or not tall and vice versa.
If alice is both happy and not generous then paul is both not wise and creative.
Everyone w... | Susan is creative. | neutral | (![X]:((curious(X)<~>~strong(X))=>(~generous(X)&~rich(X))))&
(((~quiet(paul)&rich(paul)))=>((happy(fred)|~strong(fred))))&
((~patient(paul))<=>((~rich(fred)<~>~tall(fred))))&
(((happy(alice)&~generous(alice)))=>((~wise(paul)&creative(paul))))&
(![X]:((~generous(X)|~quiet(X))=>(~wise(X)<~>rich(X))))&
(![X]:((rich(X)&pat... | creative(susan) | [] | null | 0 |
Everyone who is either not rich or tall is either tall or not old.
If john is patient then susan is humble.
If mary is both not curious and not tall then lucy is rich or not old and vice versa.
If someone is generous or curious then someone is both not tall and not humble and vice versa.
Everyone who is both not funny ... | Mary is creative. | entailment | (![X]:((~rich(X)<~>tall(X))=>(tall(X)<~>~old(X))))&
((patient(john))=>(humble(susan)))&
(((~curious(mary)&~tall(mary)))<=>((rich(lucy)|~old(lucy))))&
((?[X]:((generous(X)|curious(X))))<=>(?[X]:((~tall(X)&~humble(X)))))&
(![X]:((~funny(X)&~patient(X))=>(~old(X)&humble(X))))&
(((funny(john)<~>creative(john)))<=>((wise(pa... | creative(mary) | [
"p2",
"p4",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8560050537528772270882347
% SZS output start Proof for 8560050537528772270882347
3. (~tall(mary) & ~curious(mary)) <=> (~old(lucy) | rich(lucy)) [input p2]
5. ! [X0] : ((~patient(X0) & ~funny(X0)) => (humble(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((~funny(X0) & ~patient(X0)) <=> (generou... | 0 |
If paul is either generous or not patient then someone is strong or not strong.
Everyone who is not tall or rich is creative and vice versa.
Everyone who is either curious or not creative is both not curious and not old.
Everyone who is kind is both rich and not curious.
If alice is either not rich or not brave then ma... | Lucy is not patient. | contradiction | (((generous(paul)<~>~patient(paul)))=>(?[X]:((strong(X)|~strong(X)))))&
(![X]:((~tall(X)|rich(X))<=>creative(X)))&
(![X]:((curious(X)<~>~creative(X))=>(~curious(X)&~old(X))))&
(![X]:(kind(X)=>(rich(X)&~curious(X))))&
(((~rich(alice)<~>~brave(alice)))<=>((humble(mary)<~>quiet(mary))))&
(((~kind(paul)&generous(paul)))<=>... | ~patient(lucy) | [
"p1",
"p2",
"p6",
"p7",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 954906670923344078898308
% SZS output start Proof for 954906670923344078898308
2. ! [X0] : ((rich(X0) | ~tall(X0)) <=> creative(X0)) [input p1]
3. ! [X0] : ((curious(X0) <~> ~creative(X0)) => (~old(X0) & ~curious(X0))) [input p2]
7. ! [X0] : (~creative(X0) <=> (~curious(X0) | rich(X0))) [... | 0 |
Everyone who is humble or wise is both not humble and curious.
If someone is either calm or kind then susan is both happy and brave and vice versa.
Everyone who is patient is either tall or funny.
If lucy is both not rich and generous then paul is not happy and vice versa.
If someone is both not tall and not humble the... | Paul is not happy. | neutral | (![X]:((humble(X)|wise(X))=>(~humble(X)&curious(X))))&
((?[X]:((calm(X)<~>kind(X))))<=>((happy(susan)&brave(susan))))&
(![X]:(patient(X)=>(tall(X)<~>funny(X))))&
(((~rich(lucy)&generous(lucy)))<=>(~happy(paul)))&
((?[X]:((~tall(X)&~humble(X))))=>((brave(fred)&~happy(fred))))&
(((curious(mary)&patient(mary)))<=>(?[X]:((... | ~happy(paul) | [] | null | 0 |
If john is both generous and old then mary is strong and vice versa.
If paul is both kind and brave then mary is calm.
If john is not happy then mary is both happy and not quiet.
If alice is both wise and not kind then alice is both happy and quiet and vice versa.
If someone is calm then someone is either quiet or wise... | Mary is not strong. | entailment | (((generous(john)&old(john)))<=>(strong(mary)))&
(((kind(paul)&brave(paul)))=>(calm(mary)))&
((~happy(john))=>((happy(mary)&~quiet(mary))))&
(((wise(alice)&~kind(alice)))<=>((happy(alice)&quiet(alice))))&
((?[X]:(calm(X)))<=>(?[X]:((quiet(X)<~>wise(X)))))&
(![X]:((brave(X)|~strong(X))<=>(generous(X)&~creative(X))))&
((... | ~strong(mary) | [
"p0",
"p3",
"p5",
"p8",
"p9",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4114527689379601381159475
% SZS output start Proof for 4114527689379601381159475
1. (old(john) & generous(john)) <=> strong(mary) [input p0]
4. (~kind(alice) & wise(alice)) <=> (quiet(alice) & happy(alice)) [input p3]
6. ! [X0] : ((~strong(X0) | brave(X0)) <=> (~creative(X0) & generous(X0... | 0 |
If someone is not humble then someone is either humble or not curious.
Everyone who is not curious is calm or patient and vice versa.
Everyone who is both old and not brave is either creative or not old and vice versa.
Everyone who is both creative and not generous is old and vice versa.
Everyone who is either old or n... | Fred is curious. | contradiction | ((?[X]:(~humble(X)))=>(?[X]:((humble(X)<~>~curious(X)))))&
(![X]:(~curious(X)<=>(calm(X)|patient(X))))&
(![X]:((old(X)&~brave(X))<=>(creative(X)<~>~old(X))))&
(![X]:((creative(X)&~generous(X))<=>old(X)))&
(![X]:((old(X)<~>~happy(X))<=>~creative(X)))&
((?[X]:(kind(X)))=>((~happy(fred)&calm(fred))))&
(![X]:(~calm(X)=>(~r... | curious(fred) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p8",
"p9",
"p12",
"p13",
"p14",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2109235022828055437184443
% SZS output start Proof for 2109235022828055437184443
2. ! [X0] : (~curious(X0) <=> (patient(X0) | calm(X0))) [input p1]
3. ! [X0] : ((~brave(X0) & old(X0)) <=> (creative(X0) <~> ~old(X0))) [input p2]
4. ! [X0] : ((~generous(X0) & creative(X0)) <=> old(X0)) [inp... | 0 |
Everyone who is either rich or funny is not wise or not calm. If someone is both brave and not creative then someone is either not strong or not rich. If susan is kind then someone is not kind. If someone is not wise then susan is either kind or rich. If lucy is both not creative and strong then someone is both not cre... | Paul is not rich. | contradiction | (![X]:((rich(X)<~>funny(X))=>(~wise(X)|~calm(X))))&
((?[X]:((brave(X)&~creative(X))))=>(?[X]:((~strong(X)<~>~rich(X)))))&
((kind(susan))=>(?[X]:(~kind(X))))&
((?[X]:(~wise(X)))=>((kind(susan)<~>rich(susan))))&
(((~creative(lucy)&strong(lucy)))<=>(?[X]:((~creative(X)&~calm(X)))))&
(![X]:((strong(X)|~curious(X))=>(~stron... | ~rich(paul) | [
"p5",
"p7",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1788854786458111459800859
% SZS output start Proof for 1788854786458111459800859
6. ! [X0] : ((~curious(X0) | strong(X0)) => (~rich(X0) & ~strong(X0))) [input p5]
8. (rich(paul) & ~brave(paul)) <=> ? [X0] : (~rich(X0) <~> curious(X0)) [input p7]
14. ! [X0] : ((~old(X0) & kind(X0)) <=> (cu... | 0 |
If mary is generous or not brave then susan is not rich or not curious.
Everyone who is either rich or not kind is patient.
If someone is both humble and not generous then mary is strong and vice versa.
If lucy is not strong then someone is not happy or not wise.
Everyone who is both rich and not generous is either tal... | Susan is strong. | entailment | (((generous(mary)|~brave(mary)))=>((~rich(susan)|~curious(susan))))&
(![X]:((rich(X)<~>~kind(X))=>patient(X)))&
((?[X]:((humble(X)&~generous(X))))<=>(strong(mary)))&
((~strong(lucy))=>(?[X]:((~happy(X)|~wise(X)))))&
(![X]:((rich(X)&~generous(X))<=>(tall(X)<~>~strong(X))))&
(![X]:((~old(X)&~rich(X))=>(~happy(X)|~strong(... | strong(susan) | [
"p1",
"p4",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8427494089226605772768336
% SZS output start Proof for 8427494089226605772768336
2. ! [X0] : ((rich(X0) <~> ~kind(X0)) => patient(X0)) [input p1]
5. ! [X0] : ((~generous(X0) & rich(X0)) <=> (tall(X0) <~> ~strong(X0))) [input p4]
8. ! [X0] : ((~humble(X0) | curious(X0)) <=> ~kind(X0)) [inp... | 0 |
If john is both not brave and curious then someone is creative and vice versa. Everyone who is not wise or brave is brave or not old and vice versa. Everyone who is funny or not generous is both patient and old. Everyone who is either not funny or wise is brave and vice versa. Everyone who is wise or not kind is not pa... | Alice is brave. | entailment | (((~brave(john)&curious(john)))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|brave(X))<=>(brave(X)|~old(X))))&
(![X]:((funny(X)|~generous(X))=>(patient(X)&old(X))))&
(![X]:((~funny(X)<~>wise(X))<=>brave(X)))&
(![X]:((wise(X)|~kind(X))<=>~patient(X)))&
(![X]:(creative(X)=>patient(X)))&
((?[X]:((~generous(X)|rich(X))))=>(?[... | brave(alice) | [
"p1",
"p2",
"p3",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6074559459502766217549508
% SZS output start Proof for 6074559459502766217549508
2. ! [X0] : ((brave(X0) | ~wise(X0)) <=> (~old(X0) | brave(X0))) [input p1]
3. ! [X0] : ((~generous(X0) | funny(X0)) => (old(X0) & patient(X0))) [input p2]
4. ! [X0] : ((~funny(X0) <~> wise(X0)) <=> brave(X0)... | 0 |
Everyone who is funny is either not funny or quiet and vice versa. If paul is curious then alice is not tall or not patient and vice versa. If lucy is both calm and not strong then lucy is both not humble and tall and vice versa. If someone is humble then someone is both calm and not patient. If someone is either not h... | Lucy is wise. | entailment | (![X]:(funny(X)<=>(~funny(X)<~>quiet(X))))&
((curious(paul))<=>((~tall(alice)|~patient(alice))))&
(((calm(lucy)&~strong(lucy)))<=>((~humble(lucy)&tall(lucy))))&
((?[X]:(humble(X)))=>(?[X]:((calm(X)&~patient(X)))))&
((?[X]:((~happy(X)<~>~wise(X))))<=>((~happy(lucy)|~creative(lucy))))&
(![X]:((generous(X)|~rich(X))=>~ric... | wise(lucy) | [
"p0",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 2471137319727792550481175
% SZS output start Proof for 2471137319727792550481175
1. ! [X0] : (funny(X0) <=> (~funny(X0) <~> quiet(X0))) [input p0]
6. ! [X0] : ((~rich(X0) | generous(X0)) => ~rich(X0)) [input p5]
8. ! [X0] : (~generous(X0) => (wise(X0) | ~quiet(X0))) [input p7]
10. ! [X0] ... | 0 |
Everyone who is not generous is not humble.
If someone is not strong or not tall then someone is both not old and funny and vice versa.
Everyone who is both generous and not wise is either not strong or not happy and vice versa.
Everyone who is either tall or patient is both humble and wise.
If someone is both happy an... | Alice is happy. | neutral | (![X]:(~generous(X)=>~humble(X)))&
((?[X]:((~strong(X)|~tall(X))))<=>(?[X]:((~old(X)&funny(X)))))&
(![X]:((generous(X)&~wise(X))<=>(~strong(X)<~>~happy(X))))&
(![X]:((tall(X)<~>patient(X))=>(humble(X)&wise(X))))&
((?[X]:((happy(X)&tall(X))))<=>((creative(alice)<~>~funny(alice))))&
(![X]:((~rich(X)<~>patient(X))=>(rich(... | happy(alice) | [] | null | 0 |
Everyone who is either happy or not calm is both wise and quiet and vice versa.
Everyone who is not funny is not kind and vice versa.
Everyone who is rich or not curious is not happy or not quiet.
Everyone who is either not generous or not kind is either not funny or quiet.
Everyone who is either not strong or not curi... | Paul is not funny. | entailment | (![X]:((happy(X)<~>~calm(X))<=>(wise(X)&quiet(X))))&
(![X]:(~funny(X)<=>~kind(X)))&
(![X]:((rich(X)|~curious(X))=>(~happy(X)|~quiet(X))))&
(![X]:((~generous(X)<~>~kind(X))=>(~funny(X)<~>quiet(X))))&
(![X]:((~strong(X)<~>~curious(X))<=>(brave(X)&~humble(X))))&
(![X]:(~patient(X)=>wise(X)))&
((?[X]:((curious(X)<~>happy(X... | ~funny(paul) | [
"p1",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4061017717732539176716957
% SZS output start Proof for 4061017717732539176716957
2. ! [X0] : (~funny(X0) <=> ~kind(X0)) [input p1]
14. ! [X0] : ((funny(X0) | tall(X0)) <=> ~creative(X0)) [input p13]
15. ! [X0] : ((curious(X0) | ~creative(X0)) => ~kind(X0)) [input p14]
23. funny(paul) [inp... | 0 |
Everyone who is both not patient and happy is not patient and vice versa. Everyone who is not curious is not calm or not humble and vice versa. Everyone who is either quiet or happy is creative and vice versa. Everyone who is either strong or kind is quiet or not strong. Everyone who is either creative or brave is eith... | Mary is not kind. | neutral | (![X]:((~patient(X)&happy(X))<=>~patient(X)))&
(![X]:(~curious(X)<=>(~calm(X)|~humble(X))))&
(![X]:((quiet(X)<~>happy(X))<=>creative(X)))&
(![X]:((strong(X)<~>kind(X))=>(quiet(X)|~strong(X))))&
(![X]:((creative(X)<~>brave(X))=>(~quiet(X)<~>~wise(X))))&
(![X]:((~old(X)<~>patient(X))=>(generous(X)&~brave(X))))&
(((~kind(... | ~kind(mary) | [] | null | 0 |
If paul is creative or brave then someone is either old or kind and vice versa. Everyone who is tall is both quiet and not rich and vice versa. Everyone who is not calm is not patient and vice versa. If paul is either not quiet or patient then fred is both brave and not kind. If someone is quiet or tall then someone is... | Paul is patient. | contradiction | (((creative(paul)|brave(paul)))<=>(?[X]:((old(X)<~>kind(X)))))&
(![X]:(tall(X)<=>(quiet(X)&~rich(X))))&
(![X]:(~calm(X)<=>~patient(X)))&
(((~quiet(paul)<~>patient(paul)))=>((brave(fred)&~kind(fred))))&
((?[X]:((quiet(X)|tall(X))))=>(?[X]:((~brave(X)|humble(X)))))&
(![X]:((tall(X)|happy(X))=>~wise(X)))&
(![X]:((strong(X... | patient(paul) | [
"p1",
"p8",
"p11",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4157288606273409556878573
% SZS output start Proof for 4157288606273409556878573
2. ! [X0] : (tall(X0) <=> (~rich(X0) & quiet(X0))) [input p1]
9. ! [X0] : ((curious(X0) | rich(X0)) <=> (~funny(X0) & ~brave(X0))) [input p8]
12. ! [X0] : ((patient(X0) | ~funny(X0)) <=> ~old(X0)) [input p11]... | 0 |
Everyone who is not funny or quiet is not wise or kind.
If fred is both not old and generous then lucy is both patient and quiet and vice versa.
If alice is either not funny or not wise then paul is both not wise and not kind.
Everyone who is generous or not old is rich and vice versa.
If susan is either not patient or... | Mary is not wise. | entailment | (![X]:((~funny(X)|quiet(X))=>(~wise(X)|kind(X))))&
(((~old(fred)&generous(fred)))<=>((patient(lucy)&quiet(lucy))))&
(((~funny(alice)<~>~wise(alice)))=>((~wise(paul)&~kind(paul))))&
(![X]:((generous(X)|~old(X))<=>rich(X)))&
(((~patient(susan)<~>~rich(susan)))<=>(?[X]:((~rich(X)&creative(X)))))&
((?[X]:(~generous(X)))=>(... | ~wise(mary) | [
"p0",
"p6",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 7865623393543299879729874
% SZS output start Proof for 7865623393543299879729874
1. ! [X0] : ((quiet(X0) | ~funny(X0)) => (kind(X0) | ~wise(X0))) [input p0]
7. ! [X0] : ((generous(X0) | kind(X0)) => ~kind(X0)) [input p6]
11. ! [X0] : ((old(X0) | funny(X0)) <=> (kind(X0) & ~funny(X0))) [in... | 0 |
Everyone who is patient is creative or funny and vice versa.
If someone is either curious or not generous then john is patient or curious and vice versa.
Everyone who is not happy or not wise is both tall and not happy.
Everyone who is either tall or patient is not old and vice versa.
If fred is wise then fred is wise ... | John is not patient. | contradiction | (![X]:(patient(X)<=>(creative(X)|funny(X))))&
((?[X]:((curious(X)<~>~generous(X))))<=>((patient(john)|curious(john))))&
(![X]:((~happy(X)|~wise(X))=>(tall(X)&~happy(X))))&
(![X]:((tall(X)<~>patient(X))<=>~old(X)))&
((wise(fred))=>((wise(fred)|rich(fred))))&
(![X]:((~wise(X)&patient(X))<=>(~funny(X)<~>~tall(X))))&
((?[X... | ~patient(john) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5989911830370330426528232
% SZS output start Proof for 5989911830370330426528232
1. ! [X0] : (patient(X0) <=> (funny(X0) | creative(X0))) [input p0]
3. ! [X0] : ((~wise(X0) | ~happy(X0)) => (~happy(X0) & tall(X0))) [input p2]
6. ! [X0] : ((patient(X0) & ~wise(X0)) <=> (~funny(X0) <~> ~tal... | 0 |
Everyone who is either not curious or not old is tall or happy.
Everyone who is both not strong and not rich is wise or not brave and vice versa.
If someone is not calm or wise then lucy is curious.
Everyone who is patient or humble is funny.
If mary is not patient or not quiet then john is either kind or patient and v... | John is not quiet. | neutral | (![X]:((~curious(X)<~>~old(X))=>(tall(X)|happy(X))))&
(![X]:((~strong(X)&~rich(X))<=>(wise(X)|~brave(X))))&
((?[X]:((~calm(X)|wise(X))))=>(curious(lucy)))&
(![X]:((patient(X)|humble(X))=>funny(X)))&
(((~patient(mary)|~quiet(mary)))<=>((kind(john)<~>patient(john))))&
(![X]:((~calm(X)|~humble(X))<=>(funny(X)&~wise(X))))&... | ~quiet(john) | [] | null | 0 |
If mary is rich then john is both not creative and tall and vice versa.
Everyone who is not strong or tall is either not old or not wise and vice versa.
If someone is either not curious or rich then someone is both happy and not tall and vice versa.
Everyone who is tall or patient is either humble or tall and vice vers... | John is humble. | contradiction | ((rich(mary))<=>((~creative(john)&tall(john))))&
(![X]:((~strong(X)|tall(X))<=>(~old(X)<~>~wise(X))))&
((?[X]:((~curious(X)<~>rich(X))))<=>(?[X]:((happy(X)&~tall(X)))))&
(![X]:((tall(X)|patient(X))<=>(humble(X)<~>tall(X))))&
(((~humble(mary)&quiet(mary)))=>(~kind(mary)))&
(![X]:((~funny(X)|creative(X))<=>~humble(X)))&
... | humble(john) | [
"p3",
"p5",
"p8",
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6596241090224450599739220
% SZS output start Proof for 6596241090224450599739220
4. ! [X0] : ((patient(X0) | tall(X0)) <=> (humble(X0) <~> tall(X0))) [input p3]
6. ! [X0] : ((creative(X0) | ~funny(X0)) <=> ~humble(X0)) [input p5]
9. (creative(john) <~> ~strong(john)) <=> ? [X0] : (strong(... | 0 |
Everyone who is not strong or not calm is generous or not quiet.
Everyone who is strong is not kind or not tall and vice versa.
If someone is both curious and not tall then alice is either happy or not wise.
If someone is tall then paul is either not patient or rich and vice versa.
If john is not tall or generous then ... | Mary is not generous. | neutral | (![X]:((~strong(X)|~calm(X))=>(generous(X)|~quiet(X))))&
(![X]:(strong(X)<=>(~kind(X)|~tall(X))))&
((?[X]:((curious(X)&~tall(X))))=>((happy(alice)<~>~wise(alice))))&
((?[X]:(tall(X)))<=>((~patient(paul)<~>rich(paul))))&
(((~tall(john)|generous(john)))<=>((~rich(lucy)<~>kind(lucy))))&
((?[X]:(strong(X)))=>((calm(alice)|... | ~generous(mary) | [] | null | 0 |
If susan is both not humble and not funny then susan is not wise and vice versa.
If paul is not generous then alice is not curious or curious.
If someone is both not rich and not tall then someone is not old and vice versa.
If someone is wise then someone is strong or not creative and vice versa.
Everyone who is strong... | John is not generous. | neutral | (((~humble(susan)&~funny(susan)))<=>(~wise(susan)))&
((~generous(paul))=>((~curious(alice)|curious(alice))))&
((?[X]:((~rich(X)&~tall(X))))<=>(?[X]:(~old(X))))&
((?[X]:(wise(X)))<=>(?[X]:((strong(X)|~creative(X)))))&
(![X]:((strong(X)|~quiet(X))=>(funny(X)|wise(X))))&
(![X]:((curious(X)&~kind(X))<=>patient(X)))&
(![X]:... | ~generous(john) | [] | null | 0 |
If someone is humble or not kind then mary is not wise or not rich.
Everyone who is both not tall and not rich is not happy and vice versa.
Everyone who is both not happy and patient is both brave and not brave.
If someone is not brave or generous then lucy is not tall and vice versa.
If someone is both not tall and ol... | Lucy is happy. | entailment | ((?[X]:((humble(X)|~kind(X))))=>((~wise(mary)|~rich(mary))))&
(![X]:((~tall(X)&~rich(X))<=>~happy(X)))&
(![X]:((~happy(X)&patient(X))=>(brave(X)&~brave(X))))&
((?[X]:((~brave(X)|generous(X))))<=>(~tall(lucy)))&
((?[X]:((~tall(X)&old(X))))<=>(?[X]:((old(X)&~wise(X)))))&
((?[X]:((~brave(X)<~>funny(X))))=>(~humble(lucy)))... | happy(lucy) | [
"p1",
"p5",
"p7",
"p11",
"p13",
"p14",
"p20",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 2089806362298094392868148
% SZS output start Proof for 2089806362298094392868148
2. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> ~happy(X0)) [input p1]
6. ? [X0] : (~brave(X0) <~> funny(X0)) => ~humble(lucy) [input p5]
8. (rich(lucy) | ~creative(lucy)) <=> ? [X0] : (~calm(X0) <~> funny(X0)) [inp... | 0 |
If alice is either not old or curious then someone is either not curious or wise and vice versa.
Everyone who is patient is both not happy and not quiet.
Everyone who is not humble or tall is either not patient or not kind.
Everyone who is not old or not brave is not tall or not happy and vice versa.
If someone is crea... | Mary is not brave. | entailment | (((~old(alice)<~>curious(alice)))<=>(?[X]:((~curious(X)<~>wise(X)))))&
(![X]:(patient(X)=>(~happy(X)&~quiet(X))))&
(![X]:((~humble(X)|tall(X))=>(~patient(X)<~>~kind(X))))&
(![X]:((~old(X)|~brave(X))<=>(~tall(X)|~happy(X))))&
((?[X]:((creative(X)|patient(X))))=>(?[X]:((~humble(X)&creative(X)))))&
(![X]:((~quiet(X)&~old(... | ~brave(mary) | [
"p0",
"p1",
"p5",
"p6",
"p7",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8522161569364492171853585
% SZS output start Proof for 8522161569364492171853585
1. (~old(alice) <~> curious(alice)) <=> ? [X0] : (~curious(X0) <~> wise(X0)) [input p0]
2. ! [X0] : (patient(X0) => (~quiet(X0) & ~happy(X0))) [input p1]
6. ! [X0] : ((~old(X0) & ~quiet(X0)) => quiet(X0)) [in... | 0 |
If someone is either curious or wise then someone is both not kind and not curious.
Everyone who is brave is not funny or not rich.
Everyone who is not rich or not quiet is rich or not humble and vice versa.
If someone is either not patient or not wise then someone is humble.
If mary is both not old and kind then someo... | John is curious. | contradiction | ((?[X]:((curious(X)<~>wise(X))))=>(?[X]:((~kind(X)&~curious(X)))))&
(![X]:(brave(X)=>(~funny(X)|~rich(X))))&
(![X]:((~rich(X)|~quiet(X))<=>(rich(X)|~humble(X))))&
((?[X]:((~patient(X)<~>~wise(X))))=>(?[X]:(humble(X))))&
(((~old(mary)&kind(mary)))=>(?[X]:(kind(X))))&
((~curious(john))<=>(?[X]:(funny(X))))&
(![X]:((stron... | curious(john) | [
"p2",
"p5",
"p9",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8930784068549766994358019
% SZS output start Proof for 8930784068549766994358019
3. ! [X0] : ((~quiet(X0) | ~rich(X0)) <=> (~humble(X0) | rich(X0))) [input p2]
6. ~curious(john) <=> ? [X0] : funny(X0) [input p5]
10. ! [X0] : ((~calm(X0) & ~patient(X0)) <=> (~patient(X0) <~> ~funny(X0))) [... | 0 |
If john is either not quiet or not creative then alice is calm or not kind.
If mary is either calm or creative then john is both not creative and not wise.
Everyone who is funny is either curious or not patient and vice versa.
If susan is both not humble and not brave then lucy is either not creative or tall.
Everyone ... | Susan is wise. | neutral | (((~quiet(john)<~>~creative(john)))=>((calm(alice)|~kind(alice))))&
(((calm(mary)<~>creative(mary)))=>((~creative(john)&~wise(john))))&
(![X]:(funny(X)<=>(curious(X)<~>~patient(X))))&
(((~humble(susan)&~brave(susan)))=>((~creative(lucy)<~>tall(lucy))))&
(![X]:((patient(X)|~strong(X))=>(calm(X)&strong(X))))&
((?[X]:(~hu... | wise(susan) | [] | null | 0 |
If someone is curious then someone is calm.
If someone is not patient or not old then someone is not curious and vice versa.
Everyone who is happy is not old.
Everyone who is not old is not funny or not curious and vice versa.
Everyone who is either happy or not wise is tall and vice versa.
If someone is not rich then ... | Susan is not happy. | neutral | ((?[X]:(curious(X)))=>(?[X]:(calm(X))))&
((?[X]:((~patient(X)|~old(X))))<=>(?[X]:(~curious(X))))&
(![X]:(happy(X)=>~old(X)))&
(![X]:(~old(X)<=>(~funny(X)|~curious(X))))&
(![X]:((happy(X)<~>~wise(X))<=>tall(X)))&
((?[X]:(~rich(X)))=>(~funny(john)))&
(![X]:(curious(X)<=>(rich(X)<~>funny(X))))&
(((wise(mary)&funny(mary)))... | ~happy(susan) | [] | null | 0 |
If john is both not funny and not calm then someone is either generous or not quiet and vice versa.
If someone is both not old and not quiet then someone is both strong and not strong and vice versa.
Everyone who is not curious or not wise is both humble and quiet.
If john is either not tall or strong then someone is q... | John is not funny. | entailment | (((~funny(john)&~calm(john)))<=>(?[X]:((generous(X)<~>~quiet(X)))))&
((?[X]:((~old(X)&~quiet(X))))<=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((~curious(X)|~wise(X))=>(humble(X)&quiet(X))))&
(((~tall(john)<~>strong(john)))=>(?[X]:((quiet(X)|~generous(X)))))&
(![X]:((~calm(X)<~>creative(X))<=>(creative(X)<~>~brave(X))))&... | ~funny(john) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5978694745409821919168680
% SZS output start Proof for 5978694745409821919168680
1. (~calm(john) & ~funny(john)) <=> ? [X0] : (generous(X0) <~> ~quiet(X0)) [input p0]
2. ? [X0] : (~quiet(X0) & ~old(X0)) <=> ? [X0] : (~strong(X0) & strong(X0)) [input p1]
6. ! [X0] : ((curious(X0) | ~tall(X... | 0 |
If alice is either not kind or calm then someone is not rich or not tall and vice versa.
If someone is tall then someone is either funny or brave.
Everyone who is not rich is curious and vice versa.
If someone is generous then someone is both brave and not brave and vice versa.
Everyone who is not generous is both funn... | Fred is not generous. | entailment | (((~kind(alice)<~>calm(alice)))<=>(?[X]:((~rich(X)|~tall(X)))))&
((?[X]:(tall(X)))=>(?[X]:((funny(X)<~>brave(X)))))&
(![X]:(~rich(X)<=>curious(X)))&
((?[X]:(generous(X)))<=>(?[X]:((brave(X)&~brave(X)))))&
(![X]:(~generous(X)=>(funny(X)&~humble(X))))&
(![X]:((funny(X)<~>happy(X))<=>(~tall(X)|~patient(X))))&
(![X]:(brave... | ~generous(fred) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2321140529004485363233205
% SZS output start Proof for 2321140529004485363233205
4. ? [X0] : generous(X0) <=> ? [X0] : (~brave(X0) & brave(X0)) [input p3]
25. generous(fred) [input hypothesis]
27. ? [X0] : generous(X0) <=> ? [X1] : (~brave(X1) & brave(X1)) [rectify 4]
46. (? [X0] : genero... | 0 |
Everyone who is humble is not rich or not tall.
If john is both not generous and not calm then john is calm or funny.
Everyone who is not old is strong or not patient and vice versa.
Everyone who is both not brave and old is either humble or old and vice versa.
Everyone who is not humble is both not kind and tall and v... | Paul is not creative. | neutral | (![X]:(humble(X)=>(~rich(X)|~tall(X))))&
(((~generous(john)&~calm(john)))=>((calm(john)|funny(john))))&
(![X]:(~old(X)<=>(strong(X)|~patient(X))))&
(![X]:((~brave(X)&old(X))<=>(humble(X)<~>old(X))))&
(![X]:(~humble(X)<=>(~kind(X)&tall(X))))&
((?[X]:((~calm(X)|calm(X))))=>(?[X]:((~curious(X)<~>~generous(X)))))&
(![X]:((... | ~creative(paul) | [] | null | 0 |
Everyone who is both not quiet and tall is either curious or generous. If paul is both not happy and not rich then paul is quiet. If susan is rich then lucy is either not quiet or kind and vice versa. Everyone who is creative is calm and vice versa. Everyone who is both not funny and not strong is either calm or not cr... | Lucy is patient. | neutral | (![X]:((~quiet(X)&tall(X))=>(curious(X)<~>generous(X))))&
(((~happy(paul)&~rich(paul)))=>(quiet(paul)))&
((rich(susan))<=>((~quiet(lucy)<~>kind(lucy))))&
(![X]:(creative(X)<=>calm(X)))&
(![X]:((~funny(X)&~strong(X))<=>(calm(X)<~>~creative(X))))&
((?[X]:((happy(X)|~curious(X))))<=>((patient(mary)<~>kind(mary))))&
(![X]:... | patient(lucy) | [] | null | 0 |
If someone is not calm then someone is tall. If someone is either not humble or kind then paul is not patient and vice versa. If alice is both funny and generous then someone is curious or patient. Everyone who is not creative is either not brave or rich and vice versa. If someone is either creative or patient then som... | Mary is not quiet. | entailment | ((?[X]:(~calm(X)))=>(?[X]:(tall(X))))&
((?[X]:((~humble(X)<~>kind(X))))<=>(~patient(paul)))&
(((funny(alice)&generous(alice)))=>(?[X]:((curious(X)|patient(X)))))&
(![X]:(~creative(X)<=>(~brave(X)<~>rich(X))))&
((?[X]:((creative(X)<~>patient(X))))<=>(?[X]:((~old(X)|tall(X)))))&
((?[X]:((kind(X)|~creative(X))))=>(?[X]:((... | ~quiet(mary) | [
"p6",
"p7",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 18234548102019776187789
% SZS output start Proof for 18234548102019776187789
7. ! [X0] : ((~calm(X0) | ~kind(X0)) => (~quiet(X0) & ~generous(X0))) [input p6]
8. ? [X0] : (strong(X0) <~> ~patient(X0)) <=> (quiet(mary) <~> ~kind(mary)) [input p7]
10. ! [X0] : (~patient(X0) <=> strong(X0)) [... | 0 |
Everyone who is not kind is either wise or not wise and vice versa.
If alice is both not humble and not happy then someone is funny and vice versa.
If john is kind then fred is both happy and not quiet and vice versa.
Everyone who is either quiet or tall is either not patient or not kind and vice versa.
If someone is e... | Alice is humble. | contradiction | (![X]:(~kind(X)<=>(wise(X)<~>~wise(X))))&
(((~humble(alice)&~happy(alice)))<=>(?[X]:(funny(X))))&
((kind(john))<=>((happy(fred)&~quiet(fred))))&
(![X]:((quiet(X)<~>tall(X))<=>(~patient(X)<~>~kind(X))))&
((?[X]:((tall(X)<~>quiet(X))))<=>(?[X]:((kind(X)|generous(X)))))&
((~brave(paul))=>((~creative(fred)<~>~generous(fred... | humble(alice) | [
"p1",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1196877888762920551958647
% SZS output start Proof for 1196877888762920551958647
2. (~happy(alice) & ~humble(alice)) <=> ? [X0] : funny(X0) [input p1]
16. ! [X0] : ((tall(X0) & funny(X0)) <=> (~brave(X0) | humble(X0))) [input p15]
25. humble(alice) [input hypothesis]
35. ((~happy(alice) &... | 0 |
If alice is both humble and wise then someone is not happy or strong and vice versa.
Everyone who is curious is tall or calm.
If someone is either not wise or funny then mary is both rich and kind.
If someone is either old or happy then someone is not rich or not wise.
Everyone who is not calm is both not quiet and not... | Alice is not curious. | entailment | (((humble(alice)&wise(alice)))<=>(?[X]:((~happy(X)|strong(X)))))&
(![X]:(curious(X)=>(tall(X)|calm(X))))&
((?[X]:((~wise(X)<~>funny(X))))=>((rich(mary)&kind(mary))))&
((?[X]:((old(X)<~>happy(X))))=>(?[X]:((~rich(X)|~wise(X)))))&
(![X]:(~calm(X)<=>(~quiet(X)&~patient(X))))&
(![X]:((~patient(X)|curious(X))<=>(~happy(X)|k... | ~curious(alice) | [
"p0",
"p4",
"p6",
"p8",
"p9",
"p11",
"p12",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 18530034557876964245691
% SZS output start Proof for 18530034557876964245691
1. (wise(alice) & humble(alice)) <=> ? [X0] : (strong(X0) | ~happy(X0)) [input p0]
5. ! [X0] : (~calm(X0) <=> (~patient(X0) & ~quiet(X0))) [input p4]
7. ! [X0] : (~humble(X0) <=> (brave(X0) | generous(X0))) [inpu... | 0 |
Everyone who is both quiet and not kind is both not kind and funny and vice versa.
Everyone who is not brave or strong is both brave and not quiet and vice versa.
If john is either not funny or not old then mary is either not patient or not happy and vice versa.
Everyone who is not rich is not brave or not humble.
Ever... | Susan is not old. | contradiction | (![X]:((quiet(X)&~kind(X))<=>(~kind(X)&funny(X))))&
(![X]:((~brave(X)|strong(X))<=>(brave(X)&~quiet(X))))&
(((~funny(john)<~>~old(john)))<=>((~patient(mary)<~>~happy(mary))))&
(![X]:(~rich(X)=>(~brave(X)|~humble(X))))&
(![X]:(~kind(X)<=>rich(X)))&
(![X]:((creative(X)&~quiet(X))=>(calm(X)&strong(X))))&
((?[X]:(strong(X)... | ~old(susan) | [
"p0",
"p1",
"p3",
"p4",
"p6",
"p7",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 882868007700606844283417
% SZS output start Proof for 882868007700606844283417
1. ! [X0] : ((~kind(X0) & quiet(X0)) <=> (funny(X0) & ~kind(X0))) [input p0]
2. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~quiet(X0) & brave(X0))) [input p1]
4. ! [X0] : (~rich(X0) => (~humble(X0) | ~brave(X0)))... | 0 |
If someone is both generous and creative then john is both old and not curious. Everyone who is both quiet and happy is either not quiet or not funny. If mary is either not tall or kind then lucy is not quiet and vice versa. Everyone who is not creative is both not brave and not strong and vice versa. If susan is not h... | Mary is not wise. | neutral | ((?[X]:((generous(X)&creative(X))))=>((old(john)&~curious(john))))&
(![X]:((quiet(X)&happy(X))=>(~quiet(X)<~>~funny(X))))&
(((~tall(mary)<~>kind(mary)))<=>(~quiet(lucy)))&
(![X]:(~creative(X)<=>(~brave(X)&~strong(X))))&
((~humble(susan))<=>(~creative(alice)))&
(![X]:((funny(X)&~humble(X))=>(old(X)|~humble(X))))&
(![X]:... | ~wise(mary) | [] | null | 0 |
If someone is not strong or not calm then someone is either quiet or not quiet and vice versa. Everyone who is both not creative and strong is either not strong or not happy. Everyone who is either not strong or not funny is not wise and vice versa. If alice is either not happy or not brave then alice is both kind and ... | Alice is creative. | neutral | ((?[X]:((~strong(X)|~calm(X))))<=>(?[X]:((quiet(X)<~>~quiet(X)))))&
(![X]:((~creative(X)&strong(X))=>(~strong(X)<~>~happy(X))))&
(![X]:((~strong(X)<~>~funny(X))<=>~wise(X)))&
(((~happy(alice)<~>~brave(alice)))<=>((kind(alice)&calm(alice))))&
(![X]:((~wise(X)<~>~funny(X))<=>(~funny(X)&wise(X))))&
(((strong(mary)|humble(... | creative(alice) | [] | null | 0 |
Everyone who is both not kind and old is quiet and vice versa.
If fred is either old or generous then someone is happy or calm.
Everyone who is either creative or not curious is not creative or happy.
Everyone who is either humble or not quiet is not patient or not curious and vice versa.
Everyone who is both not happy... | Mary is curious. | neutral | (![X]:((~kind(X)&old(X))<=>quiet(X)))&
(((old(fred)<~>generous(fred)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))... | curious(mary) | [] | null | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa.
Everyone who is both not rich and strong is not old or creative and vice versa.
Everyone who is either not wise or strong is both not quiet and not happy.
Everyone who is calm is either not wise or not humble.
Everyone who is either ... | Susan is not rich. | neutral | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~rich(X)&strong(X))<=>(~old(X)|creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>(~quiet(X)&~happy(X))))&
(![X]:(calm(X)=>(~wise(X)<~>~humble(X))))&
(![X]:((curious(X)<~>brave(X))<=>(~kind(X)&rich(X))))&
(![X]:((kind(X)|~funny(X))=>(~strong(X)&happy(X))))&
... | ~rich(susan) | [] | null | 0 |
Everyone who is not curious or not happy is not funny and vice versa.
If someone is not creative or not tall then someone is humble and vice versa.
Everyone who is either rich or not generous is funny or not curious and vice versa.
Everyone who is both not quiet and not humble is either funny or creative.
If paul is bo... | Mary is not creative. | neutral | (![X]:((~curious(X)|~happy(X))<=>~funny(X)))&
((?[X]:((~creative(X)|~tall(X))))<=>(?[X]:(humble(X))))&
(![X]:((rich(X)<~>~generous(X))<=>(funny(X)|~curious(X))))&
(![X]:((~quiet(X)&~humble(X))=>(funny(X)<~>creative(X))))&
(((brave(paul)&~old(paul)))<=>(?[X]:(happy(X))))&
(![X]:((~calm(X)|~brave(X))=>curious(X)))&
(((ta... | ~creative(mary) | [] | null | 0 |
Everyone who is either not humble or not strong is generous. If alice is humble then someone is not quiet or not strong and vice versa. If someone is wise or not strong then someone is either creative or brave. Everyone who is kind or rich is not curious or not calm. Everyone who is not old or not kind is both kind and... | Paul is quiet. | neutral | (![X]:((~humble(X)<~>~strong(X))=>generous(X)))&
((humble(alice))<=>(?[X]:((~quiet(X)|~strong(X)))))&
((?[X]:((wise(X)|~strong(X))))=>(?[X]:((creative(X)<~>brave(X)))))&
(![X]:((kind(X)|rich(X))=>(~curious(X)|~calm(X))))&
(![X]:((~old(X)|~kind(X))=>(kind(X)&~curious(X))))&
(((~patient(lucy)|~strong(lucy)))=>(?[X]:((ric... | quiet(paul) | [] | null | 0 |
Everyone who is both humble and happy is either not tall or quiet.
Everyone who is not calm or not old is not kind and vice versa.
Everyone who is both not creative and not strong is both rich and not funny.
If fred is both strong and not quiet then someone is patient or creative.
Everyone who is both not creative and ... | Alice is not old. | neutral | (![X]:((humble(X)&happy(X))=>(~tall(X)<~>quiet(X))))&
(![X]:((~calm(X)|~old(X))<=>~kind(X)))&
(![X]:((~creative(X)&~strong(X))=>(rich(X)&~funny(X))))&
(((strong(fred)&~quiet(fred)))=>(?[X]:((patient(X)|creative(X)))))&
(![X]:((~creative(X)&brave(X))=>(~brave(X)&~creative(X))))&
(((~quiet(mary)&wise(mary)))<=>(?[X]:((~c... | ~old(alice) | [] | null | 0 |
If lucy is not quiet or not old then someone is either brave or tall.
Everyone who is rich or funny is both creative and funny and vice versa.
Everyone who is calm is not tall and vice versa.
If susan is both not funny and not strong then someone is either not rich or curious and vice versa.
If fred is either brave or ... | Paul is not brave. | entailment | (((~quiet(lucy)|~old(lucy)))=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((rich(X)|funny(X))<=>(creative(X)&funny(X))))&
(![X]:(calm(X)<=>~tall(X)))&
(((~funny(susan)&~strong(susan)))<=>(?[X]:((~rich(X)<~>curious(X)))))&
(((brave(fred)<~>~wise(fred)))=>(?[X]:((~kind(X)|~curious(X)))))&
(![X]:((strong(X)<~>~strong(X))=>(~ric... | ~brave(paul) | [
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 510869529872170218228929
% SZS output start Proof for 510869529872170218228929
6. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (strong(X0) | ~rich(X0))) [input p5]
8. ? [X0] : ~happy(X0) => ? [X0] : (rich(X0) & ~strong(X0)) [input p7]
10. ! [X0] : ((brave(X0) | humble(X0)) <=> (brave(X0) <~>... | 0 |
Everyone who is either not curious or funny is both old and not creative. Everyone who is old or humble is creative. If someone is not curious then lucy is either brave or generous and vice versa. Everyone who is both not old and not strong is both calm and tall. Everyone who is either not wise or happy is either quiet... | Mary is not quiet. | entailment | (![X]:((~curious(X)<~>funny(X))=>(old(X)&~creative(X))))&
(![X]:((old(X)|humble(X))=>creative(X)))&
((?[X]:(~curious(X)))<=>((brave(lucy)<~>generous(lucy))))&
(![X]:((~old(X)&~strong(X))=>(calm(X)&tall(X))))&
(![X]:((~wise(X)<~>happy(X))=>(quiet(X)<~>~curious(X))))&
(![X]:((tall(X)&calm(X))<=>~calm(X)))&
((?[X]:((funny... | ~quiet(mary) | [
"p5",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 822059124680014326991435
% SZS output start Proof for 822059124680014326991435
6. ! [X0] : ((calm(X0) & tall(X0)) <=> ~calm(X0)) [input p5]
10. ! [X0] : ((calm(X0) | ~curious(X0)) <=> (kind(X0) & ~humble(X0))) [input p9]
16. ! [X0] : (quiet(X0) <=> (~creative(X0) & humble(X0))) [input p15... | 0 |
Everyone who is either strong or not funny is either quiet or patient and vice versa.
Everyone who is not calm or not quiet is both not wise and not patient and vice versa.
Everyone who is not curious is either wise or generous and vice versa.
Everyone who is not happy or not kind is not calm.
Everyone who is old or no... | Mary is kind. | neutral | (![X]:((strong(X)<~>~funny(X))<=>(quiet(X)<~>patient(X))))&
(![X]:((~calm(X)|~quiet(X))<=>(~wise(X)&~patient(X))))&
(![X]:(~curious(X)<=>(wise(X)<~>generous(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((old(X)|~generous(X))<=>(~strong(X)|~brave(X))))&
(![X]:((tall(X)<~>~curious(X))<=>(old(X)|tall(X))))&
(![X]... | kind(mary) | [] | null | 0 |
Everyone who is not tall or happy is brave and vice versa. If someone is either quiet or not kind then someone is either strong or patient. Everyone who is funny or kind is either not old or creative. If paul is either not patient or calm then susan is either wise or not calm. If someone is not old then someone is not ... | Mary is quiet. | entailment | (![X]:((~tall(X)|happy(X))<=>brave(X)))&
((?[X]:((quiet(X)<~>~kind(X))))=>(?[X]:((strong(X)<~>patient(X)))))&
(![X]:((funny(X)|kind(X))=>(~old(X)<~>creative(X))))&
(((~patient(paul)<~>calm(paul)))=>((wise(susan)<~>~calm(susan))))&
((?[X]:(~old(X)))<=>(?[X]:((~curious(X)|~humble(X)))))&
(![X]:((happy(X)&calm(X))=>(old(X... | quiet(mary) | [
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2148168750089341577664112
% SZS output start Proof for 2148168750089341577664112
12. ! [X0] : ((kind(X0) | humble(X0)) <=> (~wise(X0) <~> ~strong(X0))) [input p11]
13. ! [X0] : ((~humble(X0) <~> ~wise(X0)) <=> (happy(X0) & calm(X0))) [input p12]
15. ! [X0] : ((~quiet(X0) | ~humble(X0)) =>... | 0 |
Everyone who is curious or tall is not brave.
Everyone who is either wise or not rich is both creative and quiet and vice versa.
Everyone who is either humble or old is either kind or tall.
Everyone who is patient or not kind is both wise and not happy.
If someone is not strong then someone is both strong and brave.
Ev... | Alice is not curious. | contradiction | (![X]:((curious(X)|tall(X))=>~brave(X)))&
(![X]:((wise(X)<~>~rich(X))<=>(creative(X)&quiet(X))))&
(![X]:((humble(X)<~>old(X))=>(kind(X)<~>tall(X))))&
(![X]:((patient(X)|~kind(X))=>(wise(X)&~happy(X))))&
((?[X]:(~strong(X)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:((~tall(X)|~curious(X))<=>(~patient(X)&~strong(X))))&
(![... | ~curious(alice) | [
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4999423162336449525260642
% SZS output start Proof for 4999423162336449525260642
6. ! [X0] : ((~curious(X0) | ~tall(X0)) <=> (~strong(X0) & ~patient(X0))) [input p5]
14. ! [X0] : ((~patient(X0) | ~kind(X0)) => (funny(X0) & rich(X0))) [input p13]
15. ! [X0] : ((~patient(X0) | brave(X0)) =>... | 0 |
If someone is either not kind or not strong then paul is quiet.
If someone is either not brave or not strong then paul is either not brave or humble.
If john is not kind then someone is either not curious or not humble.
Everyone who is not happy is both not quiet and patient and vice versa.
If lucy is both not happy an... | Susan is not kind. | entailment | ((?[X]:((~kind(X)<~>~strong(X))))=>(quiet(paul)))&
((?[X]:((~brave(X)<~>~strong(X))))=>((~brave(paul)<~>humble(paul))))&
((~kind(john))=>(?[X]:((~curious(X)<~>~humble(X)))))&
(![X]:(~happy(X)<=>(~quiet(X)&patient(X))))&
(((~happy(lucy)&quiet(lucy)))<=>(?[X]:((happy(X)&~old(X)))))&
(((~calm(mary)<~>humble(mary)))<=>(?[X... | ~kind(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7650991280261294212907396
% SZS output start Proof for 7650991280261294212907396
15. ! [X0] : ((~kind(X0) & ~humble(X0)) <=> (~kind(X0) <~> kind(X0))) [input p14]
25. kind(susan) [input hypothesis]
64. ! [X0] : (((~kind(X0) & ~humble(X0)) | ((~kind(X0) | ~kind(X0)) & (kind(X0) | kind(X0))... | 0 |
Everyone who is not old is both happy and not creative.
If fred is either funny or not kind then someone is both wise and not kind and vice versa.
Everyone who is either creative or tall is brave and vice versa.
Everyone who is strong is not humble or old.
Everyone who is either not humble or kind is curious and vice v... | Lucy is not generous. | contradiction | (![X]:(~old(X)=>(happy(X)&~creative(X))))&
(((funny(fred)<~>~kind(fred)))<=>(?[X]:((wise(X)&~kind(X)))))&
(![X]:((creative(X)<~>tall(X))<=>brave(X)))&
(![X]:(strong(X)=>(~humble(X)|old(X))))&
(![X]:((~humble(X)<~>kind(X))<=>curious(X)))&
(![X]:((~happy(X)&funny(X))<=>(~brave(X)&~humble(X))))&
((?[X]:((~rich(X)&~generou... | ~generous(lucy) | [
"p2",
"p7",
"p10",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 7876577948141392031299640
% SZS output start Proof for 7876577948141392031299640
3. ! [X0] : ((creative(X0) <~> tall(X0)) <=> brave(X0)) [input p2]
8. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (tall(X0) | ~generous(X0))) [input p7]
11. ! [X0] : ((~wise(X0) & ~rich(X0)) <=> tall(X0)) [inpu... | 0 |
If someone is calm then someone is both not creative and not old. Everyone who is both curious and generous is both rich and strong and vice versa. If someone is curious then someone is old or kind. Everyone who is both happy and creative is not curious. If susan is quiet then someone is both not patient and kind and v... | John is calm. | contradiction | ((?[X]:(calm(X)))=>(?[X]:((~creative(X)&~old(X)))))&
(![X]:((curious(X)&generous(X))<=>(rich(X)&strong(X))))&
((?[X]:(curious(X)))=>(?[X]:((old(X)|kind(X)))))&
(![X]:((happy(X)&creative(X))=>~curious(X)))&
((quiet(susan))<=>(?[X]:((~patient(X)&kind(X)))))&
(![X]:((tall(X)|~humble(X))<=>(strong(X)|~creative(X))))&
(![X]... | calm(john) | [
"p5",
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3734460128116872454361020
% SZS output start Proof for 3734460128116872454361020
6. ! [X0] : ((~humble(X0) | tall(X0)) <=> (~creative(X0) | strong(X0))) [input p5]
7. ! [X0] : ((calm(X0) | ~tall(X0)) <=> (~strong(X0) <~> ~tall(X0))) [input p6]
13. ! [X0] : ((tall(X0) | ~tall(X0)) <=> (hum... | 0 |
Everyone who is old or not curious is not curious.
Everyone who is either calm or generous is tall.
Everyone who is not brave is both kind and not strong and vice versa.
Everyone who is either quiet or not calm is not creative.
If paul is both generous and creative then someone is not funny or happy and vice versa.
Eve... | Paul is not kind. | contradiction | (![X]:((old(X)|~curious(X))=>~curious(X)))&
(![X]:((calm(X)<~>generous(X))=>tall(X)))&
(![X]:(~brave(X)<=>(kind(X)&~strong(X))))&
(![X]:((quiet(X)<~>~calm(X))=>~creative(X)))&
(((generous(paul)&creative(paul)))<=>(?[X]:((~funny(X)|happy(X)))))&
(![X]:((patient(X)|~wise(X))=>~curious(X)))&
((?[X]:((old(X)<~>~wise(X))))<... | ~kind(paul) | [
"p2",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6129133539495100353960338
% SZS output start Proof for 6129133539495100353960338
3. ! [X0] : (~brave(X0) <=> (~strong(X0) & kind(X0))) [input p2]
13. ! [X0] : ((curious(X0) & ~brave(X0)) <=> (brave(X0) | strong(X0))) [input p12]
24. ~kind(paul) [input hypothesis]
36. ! [X0] : ((~brave(X0)... | 0 |
Everyone who is either old or not patient is strong or not generous. If susan is not calm or quiet then someone is rich or not strong. Everyone who is patient or not curious is either kind or not generous and vice versa. Everyone who is tall or not rich is either calm or strong and vice versa. If someone is either rich... | Lucy is not kind. | neutral | (![X]:((old(X)<~>~patient(X))=>(strong(X)|~generous(X))))&
(((~calm(susan)|quiet(susan)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:((patient(X)|~curious(X))<=>(kind(X)<~>~generous(X))))&
(![X]:((tall(X)|~rich(X))<=>(calm(X)<~>strong(X))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:((generous(X)&~creative(X)))))&
(((generous... | ~kind(lucy) | [] | null | 0 |
If someone is funny then someone is not curious or wise. Everyone who is both kind and calm is brave or strong and vice versa. Everyone who is either curious or happy is both calm and brave and vice versa. Everyone who is both kind and generous is kind and vice versa. Everyone who is not strong or creative is happy and... | John is calm. | entailment | ((?[X]:(funny(X)))=>(?[X]:((~curious(X)|wise(X)))))&
(![X]:((kind(X)&calm(X))<=>(brave(X)|strong(X))))&
(![X]:((curious(X)<~>happy(X))<=>(calm(X)&brave(X))))&
(![X]:((kind(X)&generous(X))<=>kind(X)))&
(![X]:((~strong(X)|creative(X))<=>happy(X)))&
(((~curious(alice)&tall(alice)))=>((~brave(john)&~quiet(john))))&
((rich(... | calm(john) | [
"p1",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 649007288741698742522539
% SZS output start Proof for 649007288741698742522539
2. ! [X0] : ((calm(X0) & kind(X0)) <=> (strong(X0) | brave(X0))) [input p1]
9. ! [X0] : ((calm(X0) | ~strong(X0)) => (~rich(X0) & funny(X0))) [input p8]
14. ! [X0] : (~strong(X0) => (rich(X0) & ~quiet(X0))) [in... | 0 |
If someone is both rich and happy then someone is not brave and vice versa. If someone is either creative or brave then lucy is both not quiet and tall and vice versa. If someone is calm or not tall then john is both brave and tall and vice versa. Everyone who is rich or not old is both not curious and not wise and vic... | Paul is not happy. | neutral | ((?[X]:((rich(X)&happy(X))))<=>(?[X]:(~brave(X))))&
((?[X]:((creative(X)<~>brave(X))))<=>((~quiet(lucy)&tall(lucy))))&
((?[X]:((calm(X)|~tall(X))))<=>((brave(john)&tall(john))))&
(![X]:((rich(X)|~old(X))<=>(~curious(X)&~wise(X))))&
(![X]:((~kind(X)&~strong(X))=>(kind(X)<~>~funny(X))))&
(![X]:(~happy(X)=>brave(X)))&
(![... | ~happy(paul) | [] | null | 0 |
Everyone who is calm or funny is humble and vice versa. Everyone who is both not old and not happy is not patient or not happy. If susan is either strong or not curious then lucy is brave and vice versa. Everyone who is both not patient and not tall is happy or not brave. Everyone who is not quiet is both curious and n... | Susan is humble. | neutral | (![X]:((calm(X)|funny(X))<=>humble(X)))&
(![X]:((~old(X)&~happy(X))=>(~patient(X)|~happy(X))))&
(((strong(susan)<~>~curious(susan)))<=>(brave(lucy)))&
(![X]:((~patient(X)&~tall(X))=>(happy(X)|~brave(X))))&
(![X]:(~quiet(X)=>(curious(X)&~calm(X))))&
((?[X]:((rich(X)<~>~old(X))))<=>((~kind(lucy)<~>~strong(lucy))))&
(((~q... | humble(susan) | [] | null | 0 |
If someone is either not happy or generous then alice is funny.
If someone is either humble or kind then someone is both not brave and not patient.
Everyone who is strong is generous or happy and vice versa.
Everyone who is not patient is creative and vice versa.
If someone is happy or not tall then someone is both not... | Alice is not patient. | entailment | ((?[X]:((~happy(X)<~>generous(X))))=>(funny(alice)))&
((?[X]:((humble(X)<~>kind(X))))=>(?[X]:((~brave(X)&~patient(X)))))&
(![X]:(strong(X)<=>(generous(X)|happy(X))))&
(![X]:(~patient(X)<=>creative(X)))&
((?[X]:((happy(X)|~tall(X))))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:(~creative(X)<=>(old(X)&wise(X))))&
(![X]:((~st... | ~patient(alice) | [
"p0",
"p2",
"p5",
"p6",
"p7",
"p8",
"p9",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5882370464891568079354501
% SZS output start Proof for 5882370464891568079354501
1. ? [X0] : (~happy(X0) <~> generous(X0)) => funny(alice) [input p0]
3. ! [X0] : (strong(X0) <=> (happy(X0) | generous(X0))) [input p2]
6. ! [X0] : (~creative(X0) <=> (wise(X0) & old(X0))) [input p5]
7. ! [X0... | 0 |
If someone is kind then mary is both humble and quiet.
Everyone who is either generous or rich is both not happy and not creative and vice versa.
If susan is both not creative and not strong then lucy is funny or not old and vice versa.
If someone is either wise or funny then someone is either patient or not rich and v... | Lucy is curious. | neutral | ((?[X]:(kind(X)))=>((humble(mary)&quiet(mary))))&
(![X]:((generous(X)<~>rich(X))<=>(~happy(X)&~creative(X))))&
(((~creative(susan)&~strong(susan)))<=>((funny(lucy)|~old(lucy))))&
((?[X]:((wise(X)<~>funny(X))))<=>(?[X]:((patient(X)<~>~rich(X)))))&
(![X]:((patient(X)&~funny(X))=>strong(X)))&
(![X]:((~tall(X)<~>~happy(X))... | curious(lucy) | [] | null | 0 |
Everyone who is both happy and humble is not brave or not funny.
If alice is not happy then alice is not rich and vice versa.
Everyone who is calm or creative is not wise or curious and vice versa.
Everyone who is not rich is either not rich or not curious.
Everyone who is either not curious or not tall is both not hap... | Mary is not calm. | neutral | (![X]:((happy(X)&humble(X))=>(~brave(X)|~funny(X))))&
((~happy(alice))<=>(~rich(alice)))&
(![X]:((calm(X)|creative(X))<=>(~wise(X)|curious(X))))&
(![X]:(~rich(X)=>(~rich(X)<~>~curious(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~happy(X)&~rich(X))))&
(((~funny(fred)<~>funny(fred)))=>((tall(john)<~>~happy(john))))&
((gene... | ~calm(mary) | [] | null | 0 |
If mary is both not wise and not patient then someone is not patient. If someone is creative then paul is both not curious and not funny and vice versa. Everyone who is both rich and happy is generous and vice versa. Everyone who is calm is not happy and vice versa. If mary is not quiet or tall then someone is either g... | Mary is not patient. | entailment | (((~wise(mary)&~patient(mary)))=>(?[X]:(~patient(X))))&
((?[X]:(creative(X)))<=>((~curious(paul)&~funny(paul))))&
(![X]:((rich(X)&happy(X))<=>generous(X)))&
(![X]:(calm(X)<=>~happy(X)))&
(((~quiet(mary)|tall(mary)))<=>(?[X]:((generous(X)<~>~tall(X)))))&
(((humble(susan)&tall(susan)))=>((rich(mary)&~old(mary))))&
(![X]:... | ~patient(mary) | [
"p3",
"p9",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5779541425643073428449621
% SZS output start Proof for 5779541425643073428449621
4. ! [X0] : (calm(X0) <=> ~happy(X0)) [input p3]
10. ! [X0] : ((~rich(X0) <~> ~happy(X0)) <=> (~happy(X0) | creative(X0))) [input p9]
13. ? [X0] : rich(X0) <=> (~patient(mary) & ~happy(mary)) [input p12]
18. ... | 0 |
If fred is not kind then mary is either not curious or funny and vice versa.
If someone is both quiet and creative then paul is both not quiet and old and vice versa.
Everyone who is both generous and not old is both not patient and brave and vice versa.
If someone is not old then someone is both wise and tall.
If susa... | Alice is creative. | neutral | ((~kind(fred))<=>((~curious(mary)<~>funny(mary))))&
((?[X]:((quiet(X)&creative(X))))<=>((~quiet(paul)&old(paul))))&
(![X]:((generous(X)&~old(X))<=>(~patient(X)&brave(X))))&
((?[X]:(~old(X)))=>(?[X]:((wise(X)&tall(X)))))&
(((old(susan)<~>~generous(susan)))<=>((~strong(susan)|~happy(susan))))&
(![X]:((old(X)&happy(X))=>~... | creative(alice) | [] | null | 0 |
If paul is not creative or not rich then alice is either not calm or not kind. If someone is calm or old then alice is either not funny or not curious. Everyone who is not funny is not kind or old. If paul is both not creative and strong then someone is either happy or not kind and vice versa. If someone is both funny ... | Paul is not rich. | contradiction | (((~creative(paul)|~rich(paul)))=>((~calm(alice)<~>~kind(alice))))&
((?[X]:((calm(X)|old(X))))=>((~funny(alice)<~>~curious(alice))))&
(![X]:(~funny(X)=>(~kind(X)|old(X))))&
(((~creative(paul)&strong(paul)))<=>(?[X]:((happy(X)<~>~kind(X)))))&
((?[X]:((funny(X)&~strong(X))))=>(?[X]:((humble(X)&~strong(X)))))&
((?[X]:(cal... | ~rich(paul) | [
"p10",
"p11",
"p12",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7428676975073269140554452
% SZS output start Proof for 7428676975073269140554452
11. ! [X0] : ((old(X0) <~> brave(X0)) <=> ~tall(X0)) [input p10]
12. ? [X0] : old(X0) <=> (brave(alice) & ~happy(alice)) [input p11]
13. ! [X0] : ((~generous(X0) | humble(X0)) <=> (quiet(X0) <~> tall(X0))) [i... | 0 |
If lucy is either funny or not rich then susan is both calm and brave. If someone is wise then someone is rich or not strong. Everyone who is not strong is both not tall and generous and vice versa. Everyone who is both not funny and rich is not curious or not patient and vice versa. Everyone who is not tall or not hum... | Mary is creative. | contradiction | (((funny(lucy)<~>~rich(lucy)))=>((calm(susan)&brave(susan))))&
((?[X]:(wise(X)))=>(?[X]:((rich(X)|~strong(X)))))&
(![X]:(~strong(X)<=>(~tall(X)&generous(X))))&
(![X]:((~funny(X)&rich(X))<=>(~curious(X)|~patient(X))))&
(![X]:((~tall(X)|~humble(X))=>(~generous(X)&~rich(X))))&
((?[X]:((quiet(X)|old(X))))=>(?[X]:(humble(X)... | creative(mary) | [
"p3",
"p4",
"p9",
"p10",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 285845997955715458028480
% SZS output start Proof for 285845997955715458028480
4. ! [X0] : ((rich(X0) & ~funny(X0)) <=> (~patient(X0) | ~curious(X0))) [input p3]
5. ! [X0] : ((~humble(X0) | ~tall(X0)) => (~rich(X0) & ~generous(X0))) [input p4]
10. ! [X0] : ((quiet(X0) <~> ~tall(X0)) <=> b... | 0 |
Everyone who is both tall and patient is either not quiet or rich.
If someone is strong then someone is tall.
Everyone who is not patient is not creative or not tall.
Everyone who is both not patient and not wise is either brave or not funny.
Everyone who is both generous and not curious is calm.
If someone is not wise... | Susan is humble. | neutral | (![X]:((tall(X)&patient(X))=>(~quiet(X)<~>rich(X))))&
((?[X]:(strong(X)))=>(?[X]:(tall(X))))&
(![X]:(~patient(X)=>(~creative(X)|~tall(X))))&
(![X]:((~patient(X)&~wise(X))=>(brave(X)<~>~funny(X))))&
(![X]:((generous(X)&~curious(X))=>calm(X)))&
((?[X]:(~wise(X)))<=>((kind(susan)|~old(susan))))&
((?[X]:((funny(X)<~>genero... | humble(susan) | [] | null | 0 |
Everyone who is old is either not creative or not funny and vice versa.
Everyone who is humble or not kind is calm or not generous.
If lucy is generous or rich then someone is both not funny and strong and vice versa.
If someone is not quiet or old then alice is not curious and vice versa.
Everyone who is either quiet ... | Mary is not rich. | contradiction | (![X]:(old(X)<=>(~creative(X)<~>~funny(X))))&
(![X]:((humble(X)|~kind(X))=>(calm(X)|~generous(X))))&
(((generous(lucy)|rich(lucy)))<=>(?[X]:((~funny(X)&strong(X)))))&
((?[X]:((~quiet(X)|old(X))))<=>(~curious(alice)))&
(![X]:((quiet(X)<~>~humble(X))=>(~calm(X)<~>quiet(X))))&
(((~tall(susan)|calm(susan)))=>(?[X]:(~genero... | ~rich(mary) | [
"p0",
"p7",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5441141559356693327929442
% SZS output start Proof for 5441141559356693327929442
1. ! [X0] : (old(X0) <=> (~creative(X0) <~> ~funny(X0))) [input p0]
8. ! [X0] : ((~patient(X0) & rich(X0)) <=> ~funny(X0)) [input p7]
21. ~old(mary) <~> creative(mary) [input p20]
25. ~rich(mary) [input hypot... | 0 |
Everyone who is funny is not creative or not funny.
If someone is not wise or not patient then mary is both tall and creative.
If lucy is not strong then paul is both rich and not funny and vice versa.
Everyone who is not funny is calm and vice versa.
If paul is either not tall or not brave then alice is either creativ... | Mary is not happy. | entailment | (![X]:(funny(X)=>(~creative(X)|~funny(X))))&
((?[X]:((~wise(X)|~patient(X))))=>((tall(mary)&creative(mary))))&
((~strong(lucy))<=>((rich(paul)&~funny(paul))))&
(![X]:(~funny(X)<=>calm(X)))&
(((~tall(paul)<~>~brave(paul)))=>((creative(alice)<~>~creative(alice))))&
((tall(susan))<=>(?[X]:((~curious(X)<~>~tall(X)))))&
((?... | ~happy(mary) | [
"p1",
"p8",
"p9",
"p11",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6676174840909065740776797
% SZS output start Proof for 6676174840909065740776797
2. ? [X0] : (~patient(X0) | ~wise(X0)) => (creative(mary) & tall(mary)) [input p1]
9. ! [X0] : ((~happy(X0) <~> curious(X0)) <=> (rich(X0) <~> ~calm(X0))) [input p8]
10. ! [X0] : ((~curious(X0) | ~wise(X0)) <... | 0 |
Everyone who is both calm and patient is funny or wise.
If susan is tall or not quiet then john is both not rich and not curious and vice versa.
Everyone who is both not wise and wise is not patient and vice versa.
Everyone who is either not creative or old is both wise and not strong.
If susan is rich or kind then som... | John is not creative. | contradiction | (![X]:((calm(X)&patient(X))=>(funny(X)|wise(X))))&
(((tall(susan)|~quiet(susan)))<=>((~rich(john)&~curious(john))))&
(![X]:((~wise(X)&wise(X))<=>~patient(X)))&
(![X]:((~creative(X)<~>old(X))=>(wise(X)&~strong(X))))&
(((rich(susan)|kind(susan)))=>(?[X]:((~calm(X)|rich(X)))))&
((?[X]:(~curious(X)))<=>(?[X]:((~calm(X)<~>~... | ~creative(john) | [
"p1",
"p2",
"p7",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2676354767234905430591537
% SZS output start Proof for 2676354767234905430591537
2. (~quiet(susan) | tall(susan)) <=> (~curious(john) & ~rich(john)) [input p1]
3. ! [X0] : ((wise(X0) & ~wise(X0)) <=> ~patient(X0)) [input p2]
8. ! [X0] : ((~quiet(X0) & ~brave(X0)) <=> (patient(X0) | tall(X... | 0 |
If john is either not quiet or not creative then alice is calm or not kind.
If mary is either calm or creative then john is both not creative and not wise.
Everyone who is funny is either curious or not patient and vice versa.
If susan is both not humble and not brave then lucy is either not creative or tall.
Everyone ... | Lucy is strong. | entailment | (((~quiet(john)<~>~creative(john)))=>((calm(alice)|~kind(alice))))&
(((calm(mary)<~>creative(mary)))=>((~creative(john)&~wise(john))))&
(![X]:(funny(X)<=>(curious(X)<~>~patient(X))))&
(((~humble(susan)&~brave(susan)))=>((~creative(lucy)<~>tall(lucy))))&
(![X]:((patient(X)|~strong(X))=>(calm(X)&strong(X))))&
((?[X]:(~hu... | strong(lucy) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 693430607640059005964968
% SZS output start Proof for 693430607640059005964968
5. ! [X0] : ((~strong(X0) | patient(X0)) => (strong(X0) & calm(X0))) [input p4]
20. ~strong(lucy) [input hypothesis]
27. ! [X0] : ((strong(X0) & calm(X0)) | (strong(X0) & ~patient(X0))) [ennf transformation 5]
... | 0 |
If mary is either calm or not curious then someone is funny. Everyone who is both happy and rich is strong and vice versa. If fred is both funny and curious then someone is either wise or not tall and vice versa. Everyone who is both brave and not rich is not humble and vice versa. Everyone who is both brave and calm i... | John is rich. | contradiction | (((calm(mary)<~>~curious(mary)))=>(?[X]:(funny(X))))&
(![X]:((happy(X)&rich(X))<=>strong(X)))&
(((funny(fred)&curious(fred)))<=>(?[X]:((wise(X)<~>~tall(X)))))&
(![X]:((brave(X)&~rich(X))<=>~humble(X)))&
(![X]:((brave(X)&calm(X))=>(~kind(X)<~>~rich(X))))&
((?[X]:((strong(X)&~kind(X))))<=>(?[X]:((generous(X)|~brave(X))))... | rich(john) | [
"p1",
"p3",
"p8",
"p12",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7720608252765241030312909
% SZS output start Proof for 7720608252765241030312909
2. ! [X0] : ((rich(X0) & happy(X0)) <=> strong(X0)) [input p1]
4. ! [X0] : ((~rich(X0) & brave(X0)) <=> ~humble(X0)) [input p3]
9. ~humble(john) <=> ? [X0] : (patient(X0) & ~strong(X0)) [input p8]
13. ! [X0] ... | 0 |
Everyone who is both not creative and creative is happy and vice versa. If alice is humble then someone is both not wise and strong and vice versa. Everyone who is not quiet is not calm. Everyone who is both brave and curious is not tall or not rich and vice versa. If paul is either not funny or not calm then someone i... | Lucy is curious. | entailment | (![X]:((~creative(X)&creative(X))<=>happy(X)))&
((humble(alice))<=>(?[X]:((~wise(X)&strong(X)))))&
(![X]:(~quiet(X)=>~calm(X)))&
(![X]:((brave(X)&curious(X))<=>(~tall(X)|~rich(X))))&
(((~funny(paul)<~>~calm(paul)))<=>(?[X]:((~quiet(X)|~creative(X)))))&
(![X]:((~strong(X)<~>tall(X))=>(~kind(X)&generous(X))))&
((?[X]:(pa... | curious(lucy) | [
"p3",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3404235237774365492271402
% SZS output start Proof for 3404235237774365492271402
4. ! [X0] : ((curious(X0) & brave(X0)) <=> (~rich(X0) | ~tall(X0))) [input p3]
8. ! [X0] : ((patient(X0) & ~tall(X0)) <=> (~old(X0) <~> ~brave(X0))) [input p7]
10. ! [X0] : (tall(X0) <=> (~brave(X0) & old(X0)... | 0 |
If lucy is either not patient or not old then susan is both not brave and not kind.
Everyone who is both not funny and not rich is both happy and funny.
Everyone who is not wise is both not tall and not rich.
Everyone who is both calm and creative is brave and vice versa.
Everyone who is both not brave and curious is b... | Lucy is not funny. | neutral | (((~patient(lucy)<~>~old(lucy)))=>((~brave(susan)&~kind(susan))))&
(![X]:((~funny(X)&~rich(X))=>(happy(X)&funny(X))))&
(![X]:(~wise(X)=>(~tall(X)&~rich(X))))&
(![X]:((calm(X)&creative(X))<=>brave(X)))&
(![X]:((~brave(X)&curious(X))=>(curious(X)&~quiet(X))))&
(![X]:(quiet(X)<=>(wise(X)|~patient(X))))&
(![X]:(tall(X)<=>~... | ~funny(lucy) | [] | null | 0 |
Everyone who is both not strong and brave is both not quiet and strong.
If lucy is quiet or not strong then someone is not tall or not creative.
Everyone who is not curious or not patient is both not patient and strong and vice versa.
Everyone who is either funny or not calm is both not quiet and not calm and vice vers... | Lucy is not creative. | neutral | (![X]:((~strong(X)&brave(X))=>(~quiet(X)&strong(X))))&
(((quiet(lucy)|~strong(lucy)))=>(?[X]:((~tall(X)|~creative(X)))))&
(![X]:((~curious(X)|~patient(X))<=>(~patient(X)&strong(X))))&
(![X]:((funny(X)<~>~calm(X))<=>(~quiet(X)&~calm(X))))&
(![X]:((brave(X)|kind(X))=>~strong(X)))&
((?[X]:((~humble(X)<~>humble(X))))=>((hu... | ~creative(lucy) | [] | null | 0 |
If susan is not creative then fred is both not generous and wise.
Everyone who is either not generous or strong is both not curious and funny and vice versa.
Everyone who is creative or kind is curious.
Everyone who is not funny or tall is both not brave and strong and vice versa.
If fred is either not calm or not humb... | Mary is patient. | contradiction | ((~creative(susan))=>((~generous(fred)&wise(fred))))&
(![X]:((~generous(X)<~>strong(X))<=>(~curious(X)&funny(X))))&
(![X]:((creative(X)|kind(X))=>curious(X)))&
(![X]:((~funny(X)|tall(X))<=>(~brave(X)&strong(X))))&
(((~calm(fred)<~>~humble(fred)))<=>(~wise(john)))&
((old(lucy))=>(?[X]:((calm(X)&~wise(X)))))&
(((calm(fre... | patient(mary) | [
"p1",
"p3",
"p7",
"p8",
"p13",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 138705905275504068934526
% SZS output start Proof for 138705905275504068934526
2. ! [X0] : ((~generous(X0) <~> strong(X0)) <=> (funny(X0) & ~curious(X0))) [input p1]
4. ! [X0] : ((tall(X0) | ~funny(X0)) <=> (strong(X0) & ~brave(X0))) [input p3]
8. ! [X0] : ((~generous(X0) | calm(X0)) => (... | 0 |
Everyone who is both rich and not rich is not humble or quiet and vice versa. If mary is both humble and funny then mary is rich or not happy and vice versa. If fred is both old and strong then lucy is funny and vice versa. If alice is not generous or humble then mary is not strong or rich and vice versa. Everyone who ... | Fred is curious. | contradiction | (![X]:((rich(X)&~rich(X))<=>(~humble(X)|quiet(X))))&
(((humble(mary)&funny(mary)))<=>((rich(mary)|~happy(mary))))&
(((old(fred)&strong(fred)))<=>(funny(lucy)))&
(((~generous(alice)|humble(alice)))<=>((~strong(mary)|rich(mary))))&
(![X]:((strong(X)|quiet(X))<=>(happy(X)|~tall(X))))&
(![X]:((~rich(X)&old(X))<=>(~rich(X)<... | curious(fred) | [
"p5",
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6368521101754887793540096
% SZS output start Proof for 6368521101754887793540096
6. ! [X0] : ((old(X0) & ~rich(X0)) <=> (~rich(X0) <~> patient(X0))) [input p5]
7. ! [X0] : ((~happy(X0) & tall(X0)) <=> (patient(X0) | rich(X0))) [input p6]
14. ! [X0] : ((rich(X0) & calm(X0)) <=> (curious(X0... | 0 |
If mary is not calm or calm then fred is either rich or humble and vice versa. Everyone who is either not curious or old is not quiet. Everyone who is either old or not generous is strong and vice versa. If lucy is either rich or not curious then alice is either not rich or not creative. If someone is either not happy ... | John is kind. | entailment | (((~calm(mary)|calm(mary)))<=>((rich(fred)<~>humble(fred))))&
(![X]:((~curious(X)<~>old(X))=>~quiet(X)))&
(![X]:((old(X)<~>~generous(X))<=>strong(X)))&
(((rich(lucy)<~>~curious(lucy)))=>((~rich(alice)<~>~creative(alice))))&
((?[X]:((~happy(X)<~>~humble(X))))=>(patient(paul)))&
(![X]:((strong(X)&happy(X))=>~happy(X)))&
... | kind(john) | [
"p5",
"p9",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 676259294765973224764888
% SZS output start Proof for 676259294765973224764888
6. ! [X0] : ((happy(X0) & strong(X0)) => ~happy(X0)) [input p5]
10. ! [X0] : ((kind(X0) & wise(X0)) <=> ~strong(X0)) [input p9]
13. ? [X0] : (wise(X0) <~> ~kind(X0)) <=> ~strong(john) [input p12]
19. happy(fred... | 0 |
If someone is not humble or not happy then alice is both not generous and not rich. If fred is both happy and strong then susan is not curious. If paul is either tall or not old then mary is not tall. If someone is either not funny or funny then someone is either not kind or old. Everyone who is either happy or brave i... | Alice is not rich. | entailment | ((?[X]:((~humble(X)|~happy(X))))=>((~generous(alice)&~rich(alice))))&
(((happy(fred)&strong(fred)))=>(~curious(susan)))&
(((tall(paul)<~>~old(paul)))=>(~tall(mary)))&
((?[X]:((~funny(X)<~>funny(X))))=>(?[X]:((~kind(X)<~>old(X)))))&
(![X]:((happy(X)<~>brave(X))<=>(~patient(X)<~>~kind(X))))&
((?[X]:((wise(X)<~>tall(X))))... | ~rich(alice) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 493866946234841135805762
% SZS output start Proof for 493866946234841135805762
7. ! [X0] : ((wise(X0) & ~rich(X0)) <=> (creative(X0) <~> ~creative(X0))) [input p6]
22. rich(alice) [input hypothesis]
47. ! [X0] : (((wise(X0) & ~rich(X0)) | ((creative(X0) | creative(X0)) & (~creative(X0) | ... | 0 |
Everyone who is not funny is brave and vice versa. If someone is not kind or old then someone is creative. Everyone who is not creative is kind or not brave. If john is either quiet or funny then someone is both not generous and not patient. Everyone who is not kind or funny is both patient and not old and vice versa. ... | Paul is not funny. | entailment | (![X]:(~funny(X)<=>brave(X)))&
((?[X]:((~kind(X)|old(X))))=>(?[X]:(creative(X))))&
(![X]:(~creative(X)=>(kind(X)|~brave(X))))&
(((quiet(john)<~>funny(john)))=>(?[X]:((~generous(X)&~patient(X)))))&
(![X]:((~kind(X)|funny(X))<=>(patient(X)&~old(X))))&
(((calm(alice)<~>~strong(alice)))<=>((~funny(paul)<~>~quiet(paul))))&
... | ~funny(paul) | [
"p4",
"p5",
"p7",
"p9",
"p10",
"p11",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2724090541334468048838218
% SZS output start Proof for 2724090541334468048838218
5. ! [X0] : ((funny(X0) | ~kind(X0)) <=> (~old(X0) & patient(X0))) [input p4]
6. (calm(alice) <~> ~strong(alice)) <=> (~funny(paul) <~> ~quiet(paul)) [input p5]
8. ! [X0] : ((~happy(X0) | ~wise(X0)) <=> (humb... | 0 |
Everyone who is not strong or tall is both kind and old and vice versa.
If paul is either not old or humble then someone is not strong.
Everyone who is not patient or not tall is either not kind or calm and vice versa.
If someone is either not old or kind then someone is both wise and not wise.
Everyone who is either n... | Paul is curious. | entailment | (![X]:((~strong(X)|tall(X))<=>(kind(X)&old(X))))&
(((~old(paul)<~>humble(paul)))=>(?[X]:(~strong(X))))&
(![X]:((~patient(X)|~tall(X))<=>(~kind(X)<~>calm(X))))&
((?[X]:((~old(X)<~>kind(X))))=>(?[X]:((wise(X)&~wise(X)))))&
(![X]:((~strong(X)<~>~creative(X))=>(~curious(X)<~>rich(X))))&
((?[X]:((patient(X)&tall(X))))=>((~h... | curious(paul) | [
"p0",
"p1",
"p3",
"p4",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 3562600436540168417711401
% SZS output start Proof for 3562600436540168417711401
1. ! [X0] : ((tall(X0) | ~strong(X0)) <=> (old(X0) & kind(X0))) [input p0]
2. (~old(paul) <~> humble(paul)) => ? [X0] : ~strong(X0) [input p1]
4. ? [X0] : (~old(X0) <~> kind(X0)) => ? [X0] : (~wise(X0) & wise... | 0 |
Everyone who is not humble is either not old or funny and vice versa.
If someone is either not wise or funny then someone is either calm or happy.
Everyone who is either creative or curious is not brave.
Everyone who is both not generous and happy is happy or not calm and vice versa.
If someone is not funny then lucy i... | Susan is patient. | neutral | (![X]:(~humble(X)<=>(~old(X)<~>funny(X))))&
((?[X]:((~wise(X)<~>funny(X))))=>(?[X]:((calm(X)<~>happy(X)))))&
(![X]:((creative(X)<~>curious(X))=>~brave(X)))&
(![X]:((~generous(X)&happy(X))<=>(happy(X)|~calm(X))))&
((?[X]:(~funny(X)))=>((rich(lucy)|~tall(lucy))))&
(![X]:(~funny(X)<=>(~funny(X)&funny(X))))&
(![X]:((~wise(... | patient(susan) | [] | null | 0 |
Everyone who is either brave or generous is either not quiet or creative and vice versa.
If susan is both funny and happy then alice is both not creative and not strong and vice versa.
Everyone who is both not kind and not quiet is both not happy and creative.
Everyone who is both generous and not curious is not kind a... | Alice is not creative. | entailment | (![X]:((brave(X)<~>generous(X))<=>(~quiet(X)<~>creative(X))))&
(((funny(susan)&happy(susan)))<=>((~creative(alice)&~strong(alice))))&
(![X]:((~kind(X)&~quiet(X))=>(~happy(X)&creative(X))))&
(![X]:((generous(X)&~curious(X))<=>~kind(X)))&
((?[X]:(humble(X)))=>(~quiet(lucy)))&
((?[X]:((~happy(X)&old(X))))=>(?[X]:((curious... | ~creative(alice) | [
"p2",
"p3",
"p6",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 911414662451034902420443
% SZS output start Proof for 911414662451034902420443
3. ! [X0] : ((~quiet(X0) & ~kind(X0)) => (creative(X0) & ~happy(X0))) [input p2]
4. ! [X0] : ((~curious(X0) & generous(X0)) <=> ~kind(X0)) [input p3]
7. ! [X0] : (generous(X0) => (calm(X0) & happy(X0))) [input ... | 0 |
If someone is not tall then someone is either calm or generous and vice versa. If someone is both not quiet and funny then someone is calm and vice versa. If someone is creative or not happy then fred is not calm and vice versa. If someone is not wise then mary is either not kind or funny and vice versa. If john is eit... | Fred is strong. | contradiction | ((?[X]:(~tall(X)))<=>(?[X]:((calm(X)<~>generous(X)))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:(calm(X))))&
((?[X]:((creative(X)|~happy(X))))<=>(~calm(fred)))&
((?[X]:(~wise(X)))<=>((~kind(mary)<~>funny(mary))))&
(((humble(john)<~>~funny(john)))=>(?[X]:((~patient(X)|patient(X)))))&
(![X]:((curious(X)|quiet(X))<=>(~old(... | strong(fred) | [
"p5",
"p6",
"p7",
"p9",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5218249087876767482757447
% SZS output start Proof for 5218249087876767482757447
6. ! [X0] : ((quiet(X0) | curious(X0)) <=> (~brave(X0) | ~old(X0))) [input p5]
7. ! [X0] : ((patient(X0) | ~brave(X0)) => ~quiet(X0)) [input p6]
8. ? [X0] : ~old(X0) => (~happy(fred) & creative(fred)) [input ... | 0 |
Everyone who is both wise and not wise is both generous and not calm and vice versa.
If someone is not tall then someone is either calm or not generous and vice versa.
Everyone who is either not creative or rich is brave and vice versa.
Everyone who is both funny and curious is both not rich and funny.
Everyone who is ... | Alice is not wise. | contradiction | (![X]:((wise(X)&~wise(X))<=>(generous(X)&~calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((calm(X)<~>~generous(X)))))&
(![X]:((~creative(X)<~>rich(X))<=>brave(X)))&
(![X]:((funny(X)&curious(X))=>(~rich(X)&funny(X))))&
(![X]:(brave(X)<=>(~patient(X)|brave(X))))&
(((~humble(alice)|wise(alice)))<=>(?[X]:((patient(X)|~old(X)))))&
... | ~wise(alice) | [
"p2",
"p5",
"p8",
"p9",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2342290947339840888774099
% SZS output start Proof for 2342290947339840888774099
3. ! [X0] : ((~creative(X0) <~> rich(X0)) <=> brave(X0)) [input p2]
6. (wise(alice) | ~humble(alice)) <=> ? [X0] : (~old(X0) | patient(X0)) [input p5]
9. ? [X0] : (creative(X0) <~> ~brave(X0)) => ? [X0] : cre... | 0 |
If fred is not wise then someone is not old or not rich and vice versa.
Everyone who is kind or not patient is not happy or creative and vice versa.
If susan is either not rich or brave then john is both not kind and not wise.
Everyone who is both patient and not generous is both tall and not quiet and vice versa.
If s... | Fred is old. | neutral | ((~wise(fred))<=>(?[X]:((~old(X)|~rich(X)))))&
(![X]:((kind(X)|~patient(X))<=>(~happy(X)|creative(X))))&
(((~rich(susan)<~>brave(susan)))=>((~kind(john)&~wise(john))))&
(![X]:((patient(X)&~generous(X))<=>(tall(X)&~quiet(X))))&
((?[X]:((strong(X)<~>~kind(X))))=>(?[X]:((old(X)&~happy(X)))))&
((?[X]:((kind(X)&old(X))))=>(... | old(fred) | [] | null | 0 |
If susan is not curious then someone is both not quiet and tall and vice versa.
Everyone who is either curious or calm is either calm or not curious.
Everyone who is both kind and patient is either not calm or strong and vice versa.
Everyone who is both not brave and calm is brave and vice versa.
If john is both not cu... | Paul is humble. | neutral | ((~curious(susan))<=>(?[X]:((~quiet(X)&tall(X)))))&
(![X]:((curious(X)<~>calm(X))=>(calm(X)<~>~curious(X))))&
(![X]:((kind(X)&patient(X))<=>(~calm(X)<~>strong(X))))&
(![X]:((~brave(X)&calm(X))<=>brave(X)))&
(((~curious(john)&~happy(john)))=>((~rich(lucy)&generous(lucy))))&
((?[X]:(~funny(X)))=>(strong(susan)))&
((?[X]:... | humble(paul) | [] | null | 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... | Alice is not curious. | 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)))... | ~curious(alice) | [
"p0",
"p1",
"p3",
"p9",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3834703801122983501483996
% SZS output start Proof for 3834703801122983501483996
1. ! [X0] : (~quiet(X0) <=> (calm(X0) <~> ~generous(X0))) [input p0]
2. ! [X0] : ((happy(X0) | ~happy(X0)) <=> (~patient(X0) & ~wise(X0))) [input p1]
4. ? [X0] : (~strong(X0) | ~quiet(X0)) <=> ? [X0] : (~tall... | 0 |
Everyone who is both not happy and not curious is either not humble or calm and vice versa. If alice is not humble or generous then fred is either not humble or not strong. Everyone who is old is not quiet and vice versa. Everyone who is old is not curious or not calm and vice versa. Everyone who is not wise is either ... | Susan is quiet. | contradiction | (![X]:((~happy(X)&~curious(X))<=>(~humble(X)<~>calm(X))))&
(((~humble(alice)|generous(alice)))=>((~humble(fred)<~>~strong(fred))))&
(![X]:(old(X)<=>~quiet(X)))&
(![X]:(old(X)<=>(~curious(X)|~calm(X))))&
(![X]:(~wise(X)<=>(happy(X)<~>~curious(X))))&
(![X]:((calm(X)|~humble(X))=>(happy(X)|~curious(X))))&
(![X]:((creative... | quiet(susan) | [
"p0",
"p2",
"p3",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5494031663689835179864115
% SZS output start Proof for 5494031663689835179864115
1. ! [X0] : ((~curious(X0) & ~happy(X0)) <=> (~humble(X0) <~> calm(X0))) [input p0]
3. ! [X0] : (old(X0) <=> ~quiet(X0)) [input p2]
4. ! [X0] : (old(X0) <=> (~calm(X0) | ~curious(X0))) [input p3]
11. ! [X0] :... | 0 |
Everyone who is tall is not patient. Everyone who is brave is both tall and not funny and vice versa. If someone is not strong or not generous then someone is either not funny or not old and vice versa. Everyone who is not wise or happy is not rich and vice versa. Everyone who is both humble and brave is not tall. Ever... | Alice is creative. | entailment | (![X]:(tall(X)=>~patient(X)))&
(![X]:(brave(X)<=>(tall(X)&~funny(X))))&
((?[X]:((~strong(X)|~generous(X))))<=>(?[X]:((~funny(X)<~>~old(X)))))&
(![X]:((~wise(X)|happy(X))<=>~rich(X)))&
(![X]:((humble(X)&brave(X))=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:... | creative(alice) | [
"p1",
"p4",
"p6",
"p7",
"p10",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6328176020705448417281535
% SZS output start Proof for 6328176020705448417281535
2. ! [X0] : (brave(X0) <=> (~funny(X0) & tall(X0))) [input p1]
5. ! [X0] : ((brave(X0) & humble(X0)) => ~tall(X0)) [input p4]
7. ! [X0] : (~brave(X0) => (humble(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((quie... | 0 |
If someone is both funny and not rich then lucy is both not old and brave.
If fred is kind or quiet then alice is both not brave and not funny and vice versa.
If mary is either happy or quiet then lucy is quiet or not creative.
If someone is both not rich and not strong then someone is either not calm or happy and vice... | Paul is curious. | entailment | ((?[X]:((funny(X)&~rich(X))))=>((~old(lucy)&brave(lucy))))&
(((kind(fred)|quiet(fred)))<=>((~brave(alice)&~funny(alice))))&
(((happy(mary)<~>quiet(mary)))=>((quiet(lucy)|~creative(lucy))))&
((?[X]:((~rich(X)&~strong(X))))<=>(?[X]:((~calm(X)<~>happy(X)))))&
(((quiet(paul)&curious(paul)))=>(?[X]:((~old(X)&calm(X)))))&
(!... | curious(paul) | [
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 8456561394207933194186044
% SZS output start Proof for 8456561394207933194186044
9. ! [X0] : ((~curious(X0) | ~generous(X0)) => (~strong(X0) <~> ~creative(X0))) [input p8]
16. ! [X0] : ((creative(X0) & ~rich(X0)) <=> strong(X0)) [input p15]
21. ~strong(paul) <~> rich(paul) [input p20]
25.... | 0 |
If john is either creative or funny then someone is not kind or humble and vice versa. Everyone who is both not strong and wise is not happy or quiet and vice versa. Everyone who is both brave and not generous is not generous and vice versa. Everyone who is either old or kind is either not creative or funny and vice ve... | Alice is not old. | entailment | (((creative(john)<~>funny(john)))<=>(?[X]:((~kind(X)|humble(X)))))&
(![X]:((~strong(X)&wise(X))<=>(~happy(X)|quiet(X))))&
(![X]:((brave(X)&~generous(X))<=>~generous(X)))&
(![X]:((old(X)<~>kind(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((patient(X)|strong(X))<=>(~funny(X)|~tall(X))))&
((old(mary))=>((~creative(fred)&~pat... | ~old(alice) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5655920417784878221179730
% SZS output start Proof for 5655920417784878221179730
8. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (~old(X0) & kind(X0))) [input p7]
10. ! [X0] : ((old(X0) | patient(X0)) => (~tall(X0) & ~funny(X0))) [input p9]
25. old(alice) [input hypothesis]
30. ! [X0] : ((~t... | 0 |
Everyone who is quiet or patient is both humble and not tall and vice versa.
Everyone who is quiet is either not patient or happy and vice versa.
If someone is both not curious and tall then someone is not wise or not generous and vice versa.
Everyone who is both creative and not old is either not strong or curious.
Ev... | Fred is patient. | neutral | (![X]:((quiet(X)|patient(X))<=>(humble(X)&~tall(X))))&
(![X]:(quiet(X)<=>(~patient(X)<~>happy(X))))&
((?[X]:((~curious(X)&tall(X))))<=>(?[X]:((~wise(X)|~generous(X)))))&
(![X]:((creative(X)&~old(X))=>(~strong(X)<~>curious(X))))&
(![X]:((old(X)<~>~wise(X))<=>(~happy(X)|~creative(X))))&
((?[X]:((calm(X)&quiet(X))))<=>(?[... | patient(fred) | [] | null | 0 |
Everyone who is either brave or wise is either not humble or strong. If someone is both not strong and not old then paul is kind and vice versa. If someone is rich or not happy then someone is not wise and vice versa. Everyone who is both rich and calm is either curious or strong. If mary is curious or kind then paul i... | Lucy is curious. | entailment | (![X]:((brave(X)<~>wise(X))=>(~humble(X)<~>strong(X))))&
((?[X]:((~strong(X)&~old(X))))<=>(kind(paul)))&
((?[X]:((rich(X)|~happy(X))))<=>(?[X]:(~wise(X))))&
(![X]:((rich(X)&calm(X))=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lu... | curious(lucy) | [
"p8",
"p12",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 167198169982355356167077
% SZS output start Proof for 167198169982355356167077
9. ! [X0] : ((old(X0) | generous(X0)) => (tall(X0) & ~curious(X0))) [input p8]
13. (~tall(lucy) & strong(lucy)) <=> old(fred) [input p12]
16. ! [X0] : (~generous(X0) <=> (curious(X0) & humble(X0))) [input p15]
... | 0 |
Everyone who is not rich is old.
Everyone who is not kind is old.
If someone is both calm and not tall then alice is not calm or not old.
If someone is both happy and not generous then someone is not old and vice versa.
If alice is both not wise and not kind then someone is rich or patient and vice versa.
Everyone who ... | Paul is not quiet. | contradiction | (![X]:(~rich(X)=>old(X)))&
(![X]:(~kind(X)=>old(X)))&
((?[X]:((calm(X)&~tall(X))))=>((~calm(alice)|~old(alice))))&
((?[X]:((happy(X)&~generous(X))))<=>(?[X]:(~old(X))))&
(((~wise(alice)&~kind(alice)))<=>(?[X]:((rich(X)|patient(X)))))&
(![X]:((humble(X)<~>~patient(X))<=>wise(X)))&
(![X]:((~patient(X)|brave(X))<=>(patien... | ~quiet(paul) | [
"p6",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 2007200012520158298300637
% SZS output start Proof for 2007200012520158298300637
7. ! [X0] : ((brave(X0) | ~patient(X0)) <=> (old(X0) & patient(X0))) [input p6]
11. ~quiet(paul) <=> (brave(paul) & wise(paul)) [input p10]
18. ~old(paul) [input p17]
24. ~quiet(paul) [input hypothesis]
46. !... | 0 |
Everyone who is both strong and not creative is rich and vice versa.
Everyone who is generous is patient or humble and vice versa.
Everyone who is not strong or not humble is creative or kind and vice versa.
Everyone who is creative or not funny is not humble or old and vice versa.
Everyone who is both curious and not ... | Paul is not rich. | entailment | (![X]:((strong(X)&~creative(X))<=>rich(X)))&
(![X]:(generous(X)<=>(patient(X)|humble(X))))&
(![X]:((~strong(X)|~humble(X))<=>(creative(X)|kind(X))))&
(![X]:((creative(X)|~funny(X))<=>(~humble(X)|old(X))))&
(![X]:((curious(X)&~humble(X))<=>(~quiet(X)<~>~strong(X))))&
(((~calm(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|funny... | ~rich(paul) | [
"p0",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3682690167355111338650298
% SZS output start Proof for 3682690167355111338650298
1. ! [X0] : ((~creative(X0) & strong(X0)) <=> rich(X0)) [input p0]
14. ! [X0] : ((~funny(X0) <~> curious(X0)) <=> (~funny(X0) <~> creative(X0))) [input p13]
22. curious(paul) [input p21]
25. rich(paul) [input... | 0 |
Everyone who is old or not generous is either not patient or kind and vice versa.
If someone is both not brave and calm then fred is humble or brave and vice versa.
If someone is generous then lucy is either not humble or happy and vice versa.
Everyone who is both not happy and not kind is either happy or calm and vice... | Susan is not patient. | neutral | (![X]:((old(X)|~generous(X))<=>(~patient(X)<~>kind(X))))&
((?[X]:((~brave(X)&calm(X))))<=>((humble(fred)|brave(fred))))&
((?[X]:(generous(X)))<=>((~humble(lucy)<~>happy(lucy))))&
(![X]:((~happy(X)&~kind(X))<=>(happy(X)<~>calm(X))))&
(![X]:(~tall(X)<=>(~kind(X)<~>tall(X))))&
(![X]:(~happy(X)=>(old(X)&~tall(X))))&
(![X]:... | ~patient(susan) | [] | null | 0 |
If susan is not humble then lucy is either strong or rich and vice versa.
If someone is funny then someone is patient or wise.
Everyone who is either not humble or not quiet is calm or not strong and vice versa.
Everyone who is humble or not calm is not happy or not wise.
Everyone who is not quiet or wise is curious or... | Susan is happy. | entailment | ((~humble(susan))<=>((strong(lucy)<~>rich(lucy))))&
((?[X]:(funny(X)))=>(?[X]:((patient(X)|wise(X)))))&
(![X]:((~humble(X)<~>~quiet(X))<=>(calm(X)|~strong(X))))&
(![X]:((humble(X)|~calm(X))=>(~happy(X)|~wise(X))))&
(![X]:((~quiet(X)|wise(X))=>(curious(X)|~tall(X))))&
((?[X]:((~quiet(X)|calm(X))))=>(?[X]:((happy(X)|funn... | happy(susan) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6030398249925451710679069
% SZS output start Proof for 6030398249925451710679069
12. ! [X0] : ((quiet(X0) <~> ~happy(X0)) <=> (~generous(X0) | generous(X0))) [input p11]
16. ! [X0] : ((~quiet(X0) | ~calm(X0)) => happy(X0)) [input p15]
23. ~happy(susan) [input hypothesis]
39. ! [X0] : (hap... | 0 |
Everyone who is humble or funny is not funny.
Everyone who is kind or curious is not happy.
If someone is tall then mary is not brave.
Everyone who is both rich and kind is both strong and creative and vice versa.
If susan is both not creative and not humble then susan is either not brave or not humble.
Everyone who is... | Mary is not strong. | neutral | (![X]:((humble(X)|funny(X))=>~funny(X)))&
(![X]:((kind(X)|curious(X))=>~happy(X)))&
((?[X]:(tall(X)))=>(~brave(mary)))&
(![X]:((rich(X)&kind(X))<=>(strong(X)&creative(X))))&
(((~creative(susan)&~humble(susan)))=>((~brave(susan)<~>~humble(susan))))&
(![X]:((old(X)|~quiet(X))=>(happy(X)&~brave(X))))&
(![X]:(funny(X)<=>(c... | ~strong(mary) | [] | null | 0 |
Everyone who is both not brave and brave is not funny and vice versa.
If lucy is funny then fred is both tall and strong and vice versa.
Everyone who is calm or brave is both curious and not happy.
If john is either not brave or not generous then someone is not rich and vice versa.
If someone is patient then paul is no... | Mary is not brave. | neutral | (![X]:((~brave(X)&brave(X))<=>~funny(X)))&
((funny(lucy))<=>((tall(fred)&strong(fred))))&
(![X]:((calm(X)|brave(X))=>(curious(X)&~happy(X))))&
(((~brave(john)<~>~generous(john)))<=>(?[X]:(~rich(X))))&
((?[X]:(patient(X)))<=>(~funny(paul)))&
((?[X]:((~generous(X)|calm(X))))<=>((~creative(lucy)&strong(lucy))))&
(![X]:((~... | ~brave(mary) | [] | null | 0 |
Everyone who is humble is both not calm and curious and vice versa.
Everyone who is both happy and calm is not strong or strong and vice versa.
If someone is either not humble or not brave then someone is both funny and not wise and vice versa.
If alice is happy then lucy is either not brave or not rich and vice versa.... | Lucy is rich. | neutral | (![X]:(humble(X)<=>(~calm(X)&curious(X))))&
(![X]:((happy(X)&calm(X))<=>(~strong(X)|strong(X))))&
((?[X]:((~humble(X)<~>~brave(X))))<=>(?[X]:((funny(X)&~wise(X)))))&
((happy(alice))<=>((~brave(lucy)<~>~rich(lucy))))&
((?[X]:((curious(X)|~old(X))))=>(?[X]:((happy(X)&calm(X)))))&
((?[X]:((~wise(X)<~>~calm(X))))=>(?[X]:((... | rich(lucy) | [] | null | 0 |
Everyone who is humble is curious or not kind. If lucy is generous then someone is either kind or not kind and vice versa. Everyone who is both not brave and not wise is not quiet or generous. Everyone who is both not brave and not creative is either brave or rich and vice versa. Everyone who is strong is not quiet and... | Mary is not funny. | contradiction | (![X]:(humble(X)=>(curious(X)|~kind(X))))&
((generous(lucy))<=>(?[X]:((kind(X)<~>~kind(X)))))&
(![X]:((~brave(X)&~wise(X))=>(~quiet(X)|generous(X))))&
(![X]:((~brave(X)&~creative(X))<=>(brave(X)<~>rich(X))))&
(![X]:(strong(X)<=>~quiet(X)))&
(![X]:((~strong(X)&happy(X))<=>(~curious(X)&creative(X))))&
(((~generous(lucy)&... | ~funny(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6082463201058149418298493
% SZS output start Proof for 6082463201058149418298493
20. funny(mary) & ~creative(mary) [input p19]
25. ~funny(mary) [input hypothesis]
137. funny(mary) [cnf transformation 20]
144. ~funny(mary) [cnf transformation 25]
284. $false [subsumption resolution 144,137... | 0 |
If susan is either not curious or not quiet then mary is not creative.
Everyone who is not happy or not creative is both patient and not old.
Everyone who is either not old or not funny is quiet and vice versa.
If someone is not happy then susan is either brave or not curious.
If someone is both creative and quiet then... | Fred is curious. | contradiction | (((~curious(susan)<~>~quiet(susan)))=>(~creative(mary)))&
(![X]:((~happy(X)|~creative(X))=>(patient(X)&~old(X))))&
(![X]:((~old(X)<~>~funny(X))<=>quiet(X)))&
((?[X]:(~happy(X)))=>((brave(susan)<~>~curious(susan))))&
((?[X]:((creative(X)&quiet(X))))<=>(happy(lucy)))&
(((~rich(paul)&~kind(paul)))=>(tall(susan)))&
(![X]:(... | curious(fred) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2678869442195008074972268
% SZS output start Proof for 2678869442195008074972268
12. ! [X0] : (~humble(X0) <=> (humble(X0) & curious(X0))) [input p11]
25. curious(fred) [input hypothesis]
57. ! [X0] : ((~humble(X0) | (~humble(X0) | ~curious(X0))) & ((humble(X0) & curious(X0)) | humble(X0)... | 0 |
Everyone who is either not calm or not happy is both quiet and not creative. If someone is both brave and not quiet then someone is rich and vice versa. Everyone who is not quiet is both rich and not humble. Everyone who is either not patient or humble is generous. Everyone who is not quiet or strong is either wise or ... | Fred is not kind. | neutral | (![X]:((~calm(X)<~>~happy(X))=>(quiet(X)&~creative(X))))&
((?[X]:((brave(X)&~quiet(X))))<=>(?[X]:(rich(X))))&
(![X]:(~quiet(X)=>(rich(X)&~humble(X))))&
(![X]:((~patient(X)<~>humble(X))=>generous(X)))&
(![X]:((~quiet(X)|strong(X))=>(wise(X)<~>~rich(X))))&
(![X]:((happy(X)|old(X))<=>strong(X)))&
((?[X]:((~rich(X)|~creati... | ~kind(fred) | [] | null | 0 |
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