premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is not strong is calm and vice versa. Everyone who is calm or curious is both funny and not creative. If john is both tall and not quiet then someone is funny. If mary is curious or funny then someone is both rich and not quiet and vice versa. Everyone who is both calm and not humble is either old or not f... | John is not calm. | neutral | (![X]:(~strong(X)<=>calm(X)))&
(![X]:((calm(X)|curious(X))=>(funny(X)&~creative(X))))&
(((tall(john)&~quiet(john)))=>(?[X]:(funny(X))))&
(((curious(mary)|funny(mary)))<=>(?[X]:((rich(X)&~quiet(X)))))&
(![X]:((calm(X)&~humble(X))<=>(old(X)<~>~funny(X))))&
(![X]:(~funny(X)=>old(X)))&
((calm(john))<=>((~humble(lucy)<~>~qu... | ~calm(john) | [] | null | 0 |
Everyone who is both kind and not happy is either not happy or rich and vice versa. Everyone who is not quiet or not brave is calm or not wise. Everyone who is not tall or tall is brave and vice versa. If john is either quiet or not tall then someone is not old or happy and vice versa. If alice is creative then mary is... | Fred is not curious. | neutral | (![X]:((kind(X)&~happy(X))<=>(~happy(X)<~>rich(X))))&
(![X]:((~quiet(X)|~brave(X))=>(calm(X)|~wise(X))))&
(![X]:((~tall(X)|tall(X))<=>brave(X)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:((~old(X)|happy(X)))))&
((creative(alice))<=>(curious(mary)))&
(![X]:((quiet(X)|generous(X))=>~curious(X)))&
(![X]:(~kind(X)=>(~brave(X... | ~curious(fred) | [] | null | 0 |
If fred is either not kind or not quiet then john is either not strong or rich and vice versa.
If someone is both not calm and calm then someone is either not old or not happy.
If someone is humble then paul is both not patient and kind.
If mary is either patient or not curious then someone is both not humble and not c... | John is not patient. | contradiction | (((~kind(fred)<~>~quiet(fred)))<=>((~strong(john)<~>rich(john))))&
((?[X]:((~calm(X)&calm(X))))=>(?[X]:((~old(X)<~>~happy(X)))))&
((?[X]:(humble(X)))=>((~patient(paul)&kind(paul))))&
(((patient(mary)<~>~curious(mary)))<=>(?[X]:((~humble(X)&~creative(X)))))&
((?[X]:((~generous(X)|wise(X))))=>(humble(mary)))&
(![X]:(~old... | ~patient(john) | [
"p5",
"p6",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5768317829102893788983720
% SZS output start Proof for 5768317829102893788983720
6. ! [X0] : (~old(X0) <=> (wise(X0) & creative(X0))) [input p5]
7. ! [X0] : (~patient(X0) <=> ~calm(X0)) [input p6]
9. ! [X0] : (~old(X0) <=> ~creative(X0)) [input p8]
11. ? [X0] : ~calm(X0) <=> ? [X0] : (wis... | 0 |
Everyone who is not brave is either not generous or not tall and vice versa. If someone is either patient or humble then lucy is happy or not brave and vice versa. Everyone who is either not humble or kind is rich and vice versa. Everyone who is both not generous and tall is old or curious and vice versa. Everyone who ... | Lucy is not rich. | neutral | (![X]:(~brave(X)<=>(~generous(X)<~>~tall(X))))&
((?[X]:((patient(X)<~>humble(X))))<=>((happy(lucy)|~brave(lucy))))&
(![X]:((~humble(X)<~>kind(X))<=>rich(X)))&
(![X]:((~generous(X)&tall(X))<=>(old(X)|curious(X))))&
(![X]:((~quiet(X)&~old(X))<=>wise(X)))&
(((brave(lucy)|happy(lucy)))<=>(?[X]:((creative(X)<~>~quiet(X)))))... | ~rich(lucy) | [] | null | 0 |
Everyone who is both not happy and not strong is not funny or not brave and vice versa.
Everyone who is both humble and not patient is not kind and vice versa.
If someone is wise or not humble then someone is quiet.
If john is either brave or not rich then lucy is funny or happy.
If john is both humble and not curious ... | Alice is strong. | entailment | (![X]:((~happy(X)&~strong(X))<=>(~funny(X)|~brave(X))))&
(![X]:((humble(X)&~patient(X))<=>~kind(X)))&
((?[X]:((wise(X)|~humble(X))))=>(?[X]:(quiet(X))))&
(((brave(john)<~>~rich(john)))=>((funny(lucy)|happy(lucy))))&
(((humble(john)&~curious(john)))=>(?[X]:((calm(X)|~tall(X)))))&
((?[X]:((patient(X)|~quiet(X))))=>(?[X]:... | strong(alice) | [
"p0",
"p7",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7323004793770810591311888
% SZS output start Proof for 7323004793770810591311888
1. ! [X0] : ((~strong(X0) & ~happy(X0)) <=> (~brave(X0) | ~funny(X0))) [input p0]
8. ! [X0] : ((~humble(X0) | funny(X0)) => (strong(X0) & ~creative(X0))) [input p7]
9. ! [X0] : ((~funny(X0) <~> patient(X0)) <... | 0 |
If someone is either not tall or funny then mary is either brave or not curious and vice versa.
Everyone who is not curious or curious is both not humble and not funny and vice versa.
If someone is both happy and not calm then someone is calm or rich and vice versa.
Everyone who is either not brave or not happy is not ... | Fred is calm. | contradiction | ((?[X]:((~tall(X)<~>funny(X))))<=>((brave(mary)<~>~curious(mary))))&
(![X]:((~curious(X)|curious(X))<=>(~humble(X)&~funny(X))))&
((?[X]:((happy(X)&~calm(X))))<=>(?[X]:((calm(X)|rich(X)))))&
(![X]:((~brave(X)<~>~happy(X))<=>(~old(X)|~strong(X))))&
(![X]:((~wise(X)&patient(X))<=>(creative(X)<~>~tall(X))))&
((?[X]:(~kind(... | calm(fred) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2135788630812094393266810
% SZS output start Proof for 2135788630812094393266810
11. ! [X0] : ((calm(X0) | ~strong(X0)) => (tall(X0) & ~tall(X0))) [input p10]
22. calm(fred) [input hypothesis]
30. ! [X0] : ((tall(X0) & ~tall(X0)) | (~calm(X0) & strong(X0))) [ennf transformation 11]
125. ~... | 0 |
Everyone who is not kind is rich and vice versa.
Everyone who is not wise is not curious or not patient and vice versa.
Everyone who is either brave or strong is not creative or happy and vice versa.
If someone is old then someone is brave or not funny and vice versa.
If someone is strong or brave then lucy is not humb... | John is happy. | entailment | (![X]:(~kind(X)<=>rich(X)))&
(![X]:(~wise(X)<=>(~curious(X)|~patient(X))))&
(![X]:((brave(X)<~>strong(X))<=>(~creative(X)|happy(X))))&
((?[X]:(old(X)))<=>(?[X]:((brave(X)|~funny(X)))))&
((?[X]:((strong(X)|brave(X))))=>((~humble(lucy)|calm(lucy))))&
(((~humble(john)|~quiet(john)))<=>((kind(john)<~>~strong(john))))&
((~s... | happy(john) | [
"p8",
"p9",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 66962211644459312416639
% SZS output start Proof for 66962211644459312416639
9. ! [X0] : ((~generous(X0) & ~old(X0)) => (rich(X0) & ~curious(X0))) [input p8]
10. ! [X0] : (~kind(X0) => (kind(X0) | happy(X0))) [input p9]
11. ! [X0] : ((kind(X0) | tall(X0)) => (~generous(X0) & curious(X0)))... | 0 |
Everyone who is happy is either not funny or not creative and vice versa.
Everyone who is not quiet or not rich is not wise or quiet.
Everyone who is not tall or not kind is humble.
If someone is curious then someone is both not calm and not brave.
Everyone who is either curious or not rich is calm or tall and vice ver... | Paul is funny. | contradiction | (![X]:(happy(X)<=>(~funny(X)<~>~creative(X))))&
(![X]:((~quiet(X)|~rich(X))=>(~wise(X)|quiet(X))))&
(![X]:((~tall(X)|~kind(X))=>humble(X)))&
((?[X]:(curious(X)))=>(?[X]:((~calm(X)&~brave(X)))))&
(![X]:((curious(X)<~>~rich(X))<=>(calm(X)|tall(X))))&
(![X]:(kind(X)=>(~kind(X)&strong(X))))&
(![X]:(~humble(X)<=>(happy(X)<~... | funny(paul) | [
"p0",
"p1",
"p2",
"p6",
"p8",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4878891183920078589634336
% SZS output start Proof for 4878891183920078589634336
1. ! [X0] : (happy(X0) <=> (~funny(X0) <~> ~creative(X0))) [input p0]
2. ! [X0] : ((~rich(X0) | ~quiet(X0)) => (quiet(X0) | ~wise(X0))) [input p1]
3. ! [X0] : ((~kind(X0) | ~tall(X0)) => humble(X0)) [input p2... | 0 |
If someone is either happy or not generous then paul is either creative or not happy and vice versa. If susan is both creative and not wise then someone is either patient or strong. Everyone who is either not old or not strong is not quiet or not happy. If lucy is strong or curious then paul is not creative and vice ve... | Lucy is rich. | entailment | ((?[X]:((happy(X)<~>~generous(X))))<=>((creative(paul)<~>~happy(paul))))&
(((creative(susan)&~wise(susan)))=>(?[X]:((patient(X)<~>strong(X)))))&
(![X]:((~old(X)<~>~strong(X))=>(~quiet(X)|~happy(X))))&
(((strong(lucy)|curious(lucy)))<=>(~creative(paul)))&
(![X]:((old(X)|~tall(X))=>~strong(X)))&
(![X]:((quiet(X)|~curious... | rich(lucy) | [
"p8",
"p9",
"p11",
"p12",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4174663657415141521944517
% SZS output start Proof for 4174663657415141521944517
9. ? [X0] : (humble(X0) <~> rich(X0)) <=> ~wise(lucy) [input p8]
10. ! [X0] : ((humble(X0) & old(X0)) <=> (calm(X0) | ~rich(X0))) [input p9]
12. ! [X0] : ((calm(X0) & ~old(X0)) <=> (~quiet(X0) & ~humble(X0)))... | 0 |
Everyone who is funny is both patient and rich. Everyone who is humble is generous or rich and vice versa. If someone is either humble or not curious then someone is either not curious or not kind and vice versa. Everyone who is not brave is either generous or not funny and vice versa. If fred is not funny then someone... | Paul is creative. | contradiction | (![X]:(funny(X)=>(patient(X)&rich(X))))&
(![X]:(humble(X)<=>(generous(X)|rich(X))))&
((?[X]:((humble(X)<~>~curious(X))))<=>(?[X]:((~curious(X)<~>~kind(X)))))&
(![X]:(~brave(X)<=>(generous(X)<~>~funny(X))))&
((~funny(fred))<=>(?[X]:((calm(X)|~strong(X)))))&
(![X]:(happy(X)=>(brave(X)<~>old(X))))&
((~kind(lucy))<=>((kind... | creative(paul) | [
"p7",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4799184656257628211665997
% SZS output start Proof for 4799184656257628211665997
8. ? [X0] : (calm(X0) <~> creative(X0)) <=> (wise(lucy) & calm(lucy)) [input p7]
14. ! [X0] : ((~kind(X0) | generous(X0)) <=> ~generous(X0)) [input p13]
16. ! [X0] : (~generous(X0) => ~calm(X0)) [input p15]
2... | 0 |
Everyone who is happy is both funny and strong. Everyone who is either generous or not wise is both curious and quiet. Everyone who is both not humble and kind is either not patient or not creative and vice versa. If someone is not happy then john is both not calm and not curious. If john is both not wise and not funny... | Susan is funny. | neutral | (![X]:(happy(X)=>(funny(X)&strong(X))))&
(![X]:((generous(X)<~>~wise(X))=>(curious(X)&quiet(X))))&
(![X]:((~humble(X)&kind(X))<=>(~patient(X)<~>~creative(X))))&
((?[X]:(~happy(X)))=>((~calm(john)&~curious(john))))&
(((~wise(john)&~funny(john)))=>(?[X]:((~kind(X)&~quiet(X)))))&
(((~old(susan)<~>funny(susan)))<=>(?[X]:((... | funny(susan) | [] | null | 0 |
Everyone who is not tall or happy is both not generous and quiet and vice versa.
If susan is both humble and not funny then alice is not wise.
If someone is brave then someone is both not old and not tall.
If fred is both not curious and not kind then someone is not humble.
If john is not humble then someone is rich an... | Lucy is generous. | contradiction | (![X]:((~tall(X)|happy(X))<=>(~generous(X)&quiet(X))))&
(((humble(susan)&~funny(susan)))=>(~wise(alice)))&
((?[X]:(brave(X)))=>(?[X]:((~old(X)&~tall(X)))))&
(((~curious(fred)&~kind(fred)))=>(?[X]:(~humble(X))))&
((~humble(john))<=>(?[X]:(rich(X))))&
(![X]:((strong(X)|~rich(X))=>(~wise(X)<~>~old(X))))&
(![X]:(~creative(... | generous(lucy) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 1488055102178030203777768
% SZS output start Proof for 1488055102178030203777768
1. ! [X0] : ((happy(X0) | ~tall(X0)) <=> (quiet(X0) & ~generous(X0))) [input p0]
9. ! [X0] : ((~happy(X0) | ~kind(X0)) => (~curious(X0) & ~tall(X0))) [input p8]
24. generous(lucy) [input hypothesis]
34. ! [X0... | 0 |
Everyone who is either rich or brave is either not creative or old and vice versa. Everyone who is either not kind or curious is not rich or not old. Everyone who is either humble or not curious is either not quiet or not humble and vice versa. Everyone who is tall is either quiet or not strong and vice versa. If someo... | Fred is not humble. | contradiction | (![X]:((rich(X)<~>brave(X))<=>(~creative(X)<~>old(X))))&
(![X]:((~kind(X)<~>curious(X))=>(~rich(X)|~old(X))))&
(![X]:((humble(X)<~>~curious(X))<=>(~quiet(X)<~>~humble(X))))&
(![X]:(tall(X)<=>(quiet(X)<~>~strong(X))))&
((?[X]:((~tall(X)<~>~humble(X))))=>(?[X]:(funny(X))))&
(![X]:(~creative(X)=>(~kind(X)|tall(X))))&
((?[... | ~humble(fred) | [
"p2",
"p7",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 146411505140597739825818
% SZS output start Proof for 146411505140597739825818
3. ! [X0] : ((humble(X0) <~> ~curious(X0)) <=> (~quiet(X0) <~> ~humble(X0))) [input p2]
8. ! [X0] : (funny(X0) <=> ~rich(X0)) [input p7]
9. ? [X0] : curious(X0) => (rich(mary) & calm(mary)) [input p8]
10. ! [X0... | 0 |
If someone is kind or quiet then someone is quiet and vice versa.
Everyone who is funny is both not wise and generous and vice versa.
If mary is not kind then someone is both calm and not quiet and vice versa.
If someone is either creative or not creative then mary is both not humble and curious.
Everyone who is either... | Alice is quiet. | neutral | ((?[X]:((kind(X)|quiet(X))))<=>(?[X]:(quiet(X))))&
(![X]:(funny(X)<=>(~wise(X)&generous(X))))&
((~kind(mary))<=>(?[X]:((calm(X)&~quiet(X)))))&
((?[X]:((creative(X)<~>~creative(X))))=>((~humble(mary)&curious(mary))))&
(![X]:((~rich(X)<~>strong(X))<=>(kind(X)&wise(X))))&
(![X]:(quiet(X)=>(tall(X)&~calm(X))))&
(![X]:((ric... | quiet(alice) | [] | null | 0 |
Everyone who is both calm and not calm is both kind and old and vice versa.
If someone is either not strong or humble then lucy is both brave and not humble.
Everyone who is not old or patient is either funny or not calm.
Everyone who is not kind or tall is either old or patient and vice versa.
If someone is not tall t... | Susan is not tall. | entailment | (![X]:((calm(X)&~calm(X))<=>(kind(X)&old(X))))&
((?[X]:((~strong(X)<~>humble(X))))=>((brave(lucy)&~humble(lucy))))&
(![X]:((~old(X)|patient(X))=>(funny(X)<~>~calm(X))))&
(![X]:((~kind(X)|tall(X))<=>(old(X)<~>patient(X))))&
((?[X]:(~tall(X)))<=>((~patient(john)<~>wise(john))))&
(![X]:((~rich(X)&~old(X))=>(funny(X)&calm(... | ~tall(susan) | [
"p3",
"p21",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4140868672518774663221334
% SZS output start Proof for 4140868672518774663221334
4. ! [X0] : ((tall(X0) | ~kind(X0)) <=> (old(X0) <~> patient(X0))) [input p3]
22. ~patient(susan) & ~creative(susan) [input p21]
23. old(susan) <~> ~creative(susan) [input p22]
25. tall(susan) [input hypothes... | 0 |
Everyone who is either wise or not creative is quiet.
If alice is both patient and brave then john is not generous or funny.
Everyone who is rich or humble is either strong or creative.
Everyone who is both not quiet and not tall is both generous and not humble and vice versa.
If someone is both not old and not funny t... | Paul is not funny. | neutral | (![X]:((wise(X)<~>~creative(X))=>quiet(X)))&
(((patient(alice)&brave(alice)))=>((~generous(john)|funny(john))))&
(![X]:((rich(X)|humble(X))=>(strong(X)<~>creative(X))))&
(![X]:((~quiet(X)&~tall(X))<=>(generous(X)&~humble(X))))&
((?[X]:((~old(X)&~funny(X))))<=>((~curious(paul)|quiet(paul))))&
(![X]:((calm(X)&brave(X))<=... | ~funny(paul) | [] | null | 0 |
If john is both not patient and not generous then someone is both old and rich and vice versa.
If paul is either not tall or not creative then fred is old and vice versa.
Everyone who is not kind is not funny or not old and vice versa.
Everyone who is both wise and quiet is either not rich or calm.
If someone is patien... | Susan is not kind. | entailment | (((~patient(john)&~generous(john)))<=>(?[X]:((old(X)&rich(X)))))&
(((~tall(paul)<~>~creative(paul)))<=>(old(fred)))&
(![X]:(~kind(X)<=>(~funny(X)|~old(X))))&
(![X]:((wise(X)&quiet(X))=>(~rich(X)<~>calm(X))))&
((?[X]:((patient(X)|~funny(X))))=>(?[X]:((~calm(X)|~tall(X)))))&
(((old(john)&creative(john)))=>(?[X]:((rich(X)... | ~kind(susan) | [
"p6",
"p7",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 226420229141527887074110
% SZS output start Proof for 226420229141527887074110
7. ! [X0] : (wise(X0) <=> (humble(X0) & ~humble(X0))) [input p6]
8. ! [X0] : ((curious(X0) | ~wise(X0)) => (kind(X0) <~> happy(X0))) [input p7]
24. happy(susan) [input p23]
25. kind(susan) [input hypothesis]
32... | 0 |
Everyone who is either not calm or humble is brave and vice versa. If someone is either calm or kind then someone is not calm and vice versa. Everyone who is both creative and humble is either wise or not creative. Everyone who is both happy and brave is not tall or quiet and vice versa. Everyone who is brave is calm o... | Alice is not humble. | contradiction | (![X]:((~calm(X)<~>humble(X))<=>brave(X)))&
((?[X]:((calm(X)<~>kind(X))))<=>(?[X]:(~calm(X))))&
(![X]:((creative(X)&humble(X))=>(wise(X)<~>~creative(X))))&
(![X]:((happy(X)&brave(X))<=>(~tall(X)|quiet(X))))&
(![X]:(brave(X)=>(calm(X)|humble(X))))&
(![X]:((funny(X)<~>~calm(X))=>(humble(X)|curious(X))))&
(![X]:((~calm(X)... | ~humble(alice) | [
"p0",
"p3",
"p4",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 821101136147152376911943
% SZS output start Proof for 821101136147152376911943
1. ! [X0] : ((~calm(X0) <~> humble(X0)) <=> brave(X0)) [input p0]
4. ! [X0] : ((brave(X0) & happy(X0)) <=> (quiet(X0) | ~tall(X0))) [input p3]
5. ! [X0] : (brave(X0) => (humble(X0) | calm(X0))) [input p4]
8. ? ... | 0 |
Everyone who is not kind or not wise is either not creative or not old.
Everyone who is curious is both brave and happy and vice versa.
Everyone who is not kind or not rich is either kind or not humble.
If john is both not happy and strong then someone is happy or kind.
Everyone who is not brave is tall or not funny an... | Paul is old. | neutral | (![X]:((~kind(X)|~wise(X))=>(~creative(X)<~>~old(X))))&
(![X]:(curious(X)<=>(brave(X)&happy(X))))&
(![X]:((~kind(X)|~rich(X))=>(kind(X)<~>~humble(X))))&
(((~happy(john)&strong(john)))=>(?[X]:((happy(X)|kind(X)))))&
(![X]:(~brave(X)<=>(tall(X)|~funny(X))))&
(![X]:(generous(X)<=>(~kind(X)|quiet(X))))&
(![X]:((~generous(X... | old(paul) | [] | null | 0 |
Everyone who is not curious or not funny is either tall or strong and vice versa. If someone is either funny or not brave then mary is patient and vice versa. If fred is not rich or not kind then susan is both old and not old. If someone is either happy or not curious then someone is both not brave and brave. If someon... | Susan is quiet. | contradiction | (![X]:((~curious(X)|~funny(X))<=>(tall(X)<~>strong(X))))&
((?[X]:((funny(X)<~>~brave(X))))<=>(patient(mary)))&
(((~rich(fred)|~kind(fred)))=>((old(susan)&~old(susan))))&
((?[X]:((happy(X)<~>~curious(X))))=>(?[X]:((~brave(X)&brave(X)))))&
((?[X]:((~curious(X)|creative(X))))=>(?[X]:(~creative(X))))&
((?[X]:((happy(X)|~ca... | quiet(susan) | [
"p3",
"p5",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8345538521722637434477158
% SZS output start Proof for 8345538521722637434477158
4. ? [X0] : (happy(X0) <~> ~curious(X0)) => ? [X0] : (brave(X0) & ~brave(X0)) [input p3]
6. ? [X0] : (~calm(X0) | happy(X0)) <=> ~quiet(susan) [input p5]
20. calm(paul) & ~curious(paul) [input p19]
23. quiet(... | 0 |
Everyone who is both not brave and not kind is either not kind or happy. Everyone who is both tall and not generous is not humble and vice versa. Everyone who is either calm or tall is either kind or old. Everyone who is not quiet or strong is not patient or not humble. If john is both old and tall then john is not gen... | Paul is not creative. | neutral | (![X]:((~brave(X)&~kind(X))=>(~kind(X)<~>happy(X))))&
(![X]:((tall(X)&~generous(X))<=>~humble(X)))&
(![X]:((calm(X)<~>tall(X))=>(kind(X)<~>old(X))))&
(![X]:((~quiet(X)|strong(X))=>(~patient(X)|~humble(X))))&
(((old(john)&tall(john)))<=>((~generous(john)|~funny(john))))&
(![X]:((~funny(X)&~rich(X))=>(~strong(X)|brave(X)... | ~creative(paul) | [] | null | 0 |
Everyone who is tall is generous or old and vice versa.
Everyone who is creative or old is both not kind and old.
Everyone who is either creative or not creative is not curious or not old.
Everyone who is not brave or old is both not happy and happy.
If susan is both not strong and not quiet then someone is either funn... | Lucy is funny. | contradiction | (![X]:(tall(X)<=>(generous(X)|old(X))))&
(![X]:((creative(X)|old(X))=>(~kind(X)&old(X))))&
(![X]:((creative(X)<~>~creative(X))=>(~curious(X)|~old(X))))&
(![X]:((~brave(X)|old(X))=>(~happy(X)&happy(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((funny(X)<~>~happy(X)))))&
((?[X]:((funny(X)|calm(X))))<=>((creative(alic... | funny(lucy) | [
"p1",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2566065758131198050436813
% SZS output start Proof for 2566065758131198050436813
2. ! [X0] : ((old(X0) | creative(X0)) => (old(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((old(X0) | ~brave(X0)) => (happy(X0) & ~happy(X0))) [input p3]
6. ? [X0] : (calm(X0) | funny(X0)) <=> (creative(alice) <... | 0 |
If someone is happy then someone is either not strong or creative. If lucy is both not curious and not calm then someone is both generous and not old. If john is not curious or not calm then someone is both not quiet and strong and vice versa. If alice is tall then lucy is not tall. Everyone who is either happy or gene... | Mary is strong. | contradiction | ((?[X]:(happy(X)))=>(?[X]:((~strong(X)<~>creative(X)))))&
(((~curious(lucy)&~calm(lucy)))=>(?[X]:((generous(X)&~old(X)))))&
(((~curious(john)|~calm(john)))<=>(?[X]:((~quiet(X)&strong(X)))))&
((tall(alice))=>(~tall(lucy)))&
(![X]:((happy(X)<~>generous(X))=>generous(X)))&
((?[X]:(~humble(X)))<=>(curious(lucy)))&
(![X]:((... | strong(mary) | [
"p4",
"p6",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4735153178779595519941841
% SZS output start Proof for 4735153178779595519941841
5. ! [X0] : ((happy(X0) <~> generous(X0)) => generous(X0)) [input p4]
7. ! [X0] : ((~rich(X0) | kind(X0)) => ~happy(X0)) [input p6]
14. ! [X0] : ((~strong(X0) <~> generous(X0)) => (brave(X0) & kind(X0))) [inp... | 0 |
Everyone who is both not kind and not wise is either not creative or funny and vice versa.
If someone is tall then lucy is not rich and vice versa.
Everyone who is both creative and not tall is not quiet or not generous.
If susan is both happy and not tall then alice is rich and vice versa.
If someone is not creative o... | Susan is not kind. | entailment | (![X]:((~kind(X)&~wise(X))<=>(~creative(X)<~>funny(X))))&
((?[X]:(tall(X)))<=>(~rich(lucy)))&
(![X]:((creative(X)&~tall(X))=>(~quiet(X)|~generous(X))))&
(((happy(susan)&~tall(susan)))<=>(rich(alice)))&
((?[X]:((~creative(X)|~wise(X))))=>((~curious(lucy)&patient(lucy))))&
(((~funny(paul)<~>~kind(paul)))=>((rich(paul)|~c... | ~kind(susan) | [
"p0",
"p8",
"p10",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2410701698477735190808182
% SZS output start Proof for 2410701698477735190808182
1. ! [X0] : ((~wise(X0) & ~kind(X0)) <=> (~creative(X0) <~> funny(X0))) [input p0]
9. ! [X0] : ((~happy(X0) | ~funny(X0)) <=> (~strong(X0) & ~rich(X0))) [input p8]
11. ! [X0] : (happy(X0) => (~old(X0) & funny... | 0 |
If alice is tall then someone is either not rich or not curious.
Everyone who is not happy or kind is patient or humble and vice versa.
Everyone who is not brave is funny or not funny and vice versa.
Everyone who is not humble or not patient is either happy or patient and vice versa.
Everyone who is either not strong o... | Fred is not brave. | entailment | ((tall(alice))=>(?[X]:((~rich(X)<~>~curious(X)))))&
(![X]:((~happy(X)|kind(X))<=>(patient(X)|humble(X))))&
(![X]:(~brave(X)<=>(funny(X)|~funny(X))))&
(![X]:((~humble(X)|~patient(X))<=>(happy(X)<~>patient(X))))&
(![X]:((~strong(X)<~>~kind(X))=>rich(X)))&
((?[X]:((~quiet(X)<~>rich(X))))=>(?[X]:((~happy(X)|humble(X)))))&
... | ~brave(fred) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6789556713550692101946284
% SZS output start Proof for 6789556713550692101946284
3. ! [X0] : (~brave(X0) <=> (~funny(X0) | funny(X0))) [input p2]
22. brave(fred) [input hypothesis]
39. ! [X0] : ((~brave(X0) | (funny(X0) & ~funny(X0))) & ((~funny(X0) | funny(X0)) | brave(X0))) [nnf transfo... | 0 |
If mary is either quiet or wise then alice is both not tall and not patient and vice versa.
Everyone who is either rich or not generous is both not old and funny.
Everyone who is not kind or strong is calm or brave.
Everyone who is either wise or not wise is either generous or not creative and vice versa.
Everyone who ... | Paul is not brave. | contradiction | (((quiet(mary)<~>wise(mary)))<=>((~tall(alice)&~patient(alice))))&
(![X]:((rich(X)<~>~generous(X))=>(~old(X)&funny(X))))&
(![X]:((~kind(X)|strong(X))=>(calm(X)|brave(X))))&
(![X]:((wise(X)<~>~wise(X))<=>(generous(X)<~>~creative(X))))&
(![X]:((creative(X)|happy(X))=>(rich(X)|brave(X))))&
((?[X]:(~funny(X)))=>(?[X]:((hum... | ~brave(paul) | [
"p1",
"p3",
"p4",
"p6",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5811076134630870923399236
% SZS output start Proof for 5811076134630870923399236
2. ! [X0] : ((rich(X0) <~> ~generous(X0)) => (funny(X0) & ~old(X0))) [input p1]
4. ! [X0] : ((wise(X0) <~> ~wise(X0)) <=> (generous(X0) <~> ~creative(X0))) [input p3]
5. ! [X0] : ((happy(X0) | creative(X0)) =... | 0 |
Everyone who is not patient is both generous and not rich.
If susan is either not strong or not humble then someone is either not funny or not brave.
Everyone who is not happy is either not patient or brave.
Everyone who is both strong and not kind is not patient and vice versa.
If john is curious then someone is eithe... | Mary is not calm. | entailment | (![X]:(~patient(X)=>(generous(X)&~rich(X))))&
(((~strong(susan)<~>~humble(susan)))=>(?[X]:((~funny(X)<~>~brave(X)))))&
(![X]:(~happy(X)=>(~patient(X)<~>brave(X))))&
(![X]:((strong(X)&~kind(X))<=>~patient(X)))&
((curious(john))=>(?[X]:((strong(X)<~>~generous(X)))))&
(![X]:(~strong(X)<=>~tall(X)))&
(![X]:((humble(X)&quie... | ~calm(mary) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2391341579130343841337281
% SZS output start Proof for 2391341579130343841337281
7. ! [X0] : ((quiet(X0) & humble(X0)) <=> rich(X0)) [input p6]
8. ! [X0] : ((~rich(X0) | humble(X0)) <=> ~calm(X0)) [input p7]
25. calm(mary) [input hypothesis]
44. ! [X0] : (((quiet(X0) & humble(X0)) | ~rich... | 0 |
Everyone who is kind is calm.
If someone is wise then someone is either not creative or creative and vice versa.
Everyone who is rich or funny is wise or creative and vice versa.
Everyone who is not strong or not calm is both not generous and not old and vice versa.
If someone is not patient or not humble then john is ... | Susan is not strong. | contradiction | (![X]:(kind(X)=>calm(X)))&
((?[X]:(wise(X)))<=>(?[X]:((~creative(X)<~>creative(X)))))&
(![X]:((rich(X)|funny(X))<=>(wise(X)|creative(X))))&
(![X]:((~strong(X)|~calm(X))<=>(~generous(X)&~old(X))))&
((?[X]:((~patient(X)|~humble(X))))<=>((humble(john)|~old(john))))&
(![X]:(~rich(X)<=>(tall(X)|quiet(X))))&
((?[X]:((tall(X)... | ~strong(susan) | [
"p3",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 6176025756086613334889115
% SZS output start Proof for 6176025756086613334889115
4. ! [X0] : ((~calm(X0) | ~strong(X0)) <=> (~old(X0) & ~generous(X0))) [input p3]
18. strong(susan) | generous(susan) [input p17]
25. ~strong(susan) [input hypothesis]
44. ! [X0] : (((~calm(X0) | ~strong(X0))... | 0 |
Everyone who is both not brave and not calm is strong.
If alice is both not quiet and happy then mary is both happy and brave and vice versa.
If someone is not rich then someone is both not wise and quiet.
If someone is both strong and curious then lucy is old and vice versa.
If john is rich then mary is both not rich ... | Paul is not curious. | neutral | (![X]:((~brave(X)&~calm(X))=>strong(X)))&
(((~quiet(alice)&happy(alice)))<=>((happy(mary)&brave(mary))))&
((?[X]:(~rich(X)))=>(?[X]:((~wise(X)&quiet(X)))))&
((?[X]:((strong(X)&curious(X))))<=>(old(lucy)))&
((rich(john))<=>((~rich(mary)&~creative(mary))))&
(((~generous(alice)|kind(alice)))<=>(?[X]:((funny(X)|kind(X)))))... | ~curious(paul) | [] | null | 0 |
If susan is quiet or not old then someone is both not generous and not happy.
If fred is not tall or curious then paul is both not patient and not creative.
Everyone who is both not tall and not strong is quiet or not creative and vice versa.
If someone is both not creative and tall then john is not generous.
Everyone ... | Paul is not strong. | entailment | (((quiet(susan)|~old(susan)))=>(?[X]:((~generous(X)&~happy(X)))))&
(((~tall(fred)|curious(fred)))=>((~patient(paul)&~creative(paul))))&
(![X]:((~tall(X)&~strong(X))<=>(quiet(X)|~creative(X))))&
((?[X]:((~creative(X)&tall(X))))=>(~generous(john)))&
(![X]:(~curious(X)<=>(~old(X)|~brave(X))))&
(((~calm(alice)|humble(alice... | ~strong(paul) | [
"p2",
"p6",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2216335288004543217392369
% SZS output start Proof for 2216335288004543217392369
3. ! [X0] : ((~strong(X0) & ~tall(X0)) <=> (~creative(X0) | quiet(X0))) [input p2]
7. ! [X0] : ((kind(X0) | ~rich(X0)) <=> (tall(X0) <~> generous(X0))) [input p6]
10. ! [X0] : (brave(X0) <=> (~humble(X0) | st... | 0 |
Everyone who is both not rich and rich is either not kind or not quiet.
If someone is not rich or not quiet then fred is both not old and not rich.
If someone is either kind or funny then lucy is brave or humble.
Everyone who is both curious and old is both quiet and wise.
Everyone who is quiet or not curious is both n... | Lucy is not kind. | entailment | (![X]:((~rich(X)&rich(X))=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~rich(X)|~quiet(X))))=>((~old(fred)&~rich(fred))))&
((?[X]:((kind(X)<~>funny(X))))=>((brave(lucy)|humble(lucy))))&
(![X]:((curious(X)&old(X))=>(quiet(X)&wise(X))))&
(![X]:((quiet(X)|~curious(X))=>(~kind(X)&brave(X))))&
((?[X]:((~wise(X)&humble(X))))=>(?[X]:(... | ~kind(lucy) | [
"p4",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4911306865204664090745509
% SZS output start Proof for 4911306865204664090745509
5. ! [X0] : ((~curious(X0) | quiet(X0)) => (brave(X0) & ~kind(X0))) [input p4]
21. ~curious(lucy) [input p20]
25. kind(lucy) [input hypothesis]
39. ! [X0] : ((brave(X0) & ~kind(X0)) | (curious(X0) & ~quiet(X0... | 0 |
If mary is strong then fred is both not strong and not curious. Everyone who is either brave or strong is either not strong or not rich. Everyone who is tall is both not rich and happy. Everyone who is not funny or strong is both creative and not brave. Everyone who is not brave or not quiet is both not humble and not ... | John is not rich. | neutral | ((strong(mary))=>((~strong(fred)&~curious(fred))))&
(![X]:((brave(X)<~>strong(X))=>(~strong(X)<~>~rich(X))))&
(![X]:(tall(X)=>(~rich(X)&happy(X))))&
(![X]:((~funny(X)|strong(X))=>(creative(X)&~brave(X))))&
(![X]:((~brave(X)|~quiet(X))<=>(~humble(X)&~calm(X))))&
((?[X]:((humble(X)<~>~kind(X))))<=>(?[X]:((~humble(X)&rich... | ~rich(john) | [] | null | 0 |
Everyone who is both rich and not wise is not humble and vice versa.
Everyone who is calm or not strong is both not wise and not creative and vice versa.
Everyone who is not generous is either patient or not patient and vice versa.
If john is both not quiet and not brave then fred is tall or not generous and vice versa... | John is funny. | contradiction | (![X]:((rich(X)&~wise(X))<=>~humble(X)))&
(![X]:((calm(X)|~strong(X))<=>(~wise(X)&~creative(X))))&
(![X]:(~generous(X)<=>(patient(X)<~>~patient(X))))&
(((~quiet(john)&~brave(john)))<=>((tall(fred)|~generous(fred))))&
(![X]:((~rich(X)<~>~calm(X))=>patient(X)))&
(![X]:((calm(X)&~wise(X))=>(~generous(X)<~>humble(X))))&
(!... | funny(john) | [
"p2",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4038593209153208863932336
% SZS output start Proof for 4038593209153208863932336
3. ! [X0] : (~generous(X0) <=> (patient(X0) <~> ~patient(X0))) [input p2]
7. ! [X0] : ((~generous(X0) | ~calm(X0)) => (~funny(X0) & curious(X0))) [input p6]
25. funny(john) [input hypothesis]
26. ! [X0] : ((~... | 0 |
Everyone who is not wise is not funny and vice versa. Everyone who is generous is tall and vice versa. If fred is not brave then someone is either creative or not happy and vice versa. If paul is both not strong and not old then someone is not tall or not brave and vice versa. Everyone who is not rich is strong and vic... | Paul is kind. | contradiction | (![X]:(~wise(X)<=>~funny(X)))&
(![X]:(generous(X)<=>tall(X)))&
((~brave(fred))<=>(?[X]:((creative(X)<~>~happy(X)))))&
(((~strong(paul)&~old(paul)))<=>(?[X]:((~tall(X)|~brave(X)))))&
(![X]:(~rich(X)<=>strong(X)))&
(((~creative(alice)&~wise(alice)))<=>((~rich(alice)|humble(alice))))&
((?[X]:((calm(X)|happy(X))))=>((~wise... | kind(paul) | [
"p2",
"p4",
"p7",
"p10",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3500781744047426196732815
% SZS output start Proof for 3500781744047426196732815
3. ~brave(fred) <=> ? [X0] : (creative(X0) <~> ~happy(X0)) [input p2]
5. ! [X0] : (~rich(X0) <=> strong(X0)) [input p4]
8. ! [X0] : ((~kind(X0) & ~wise(X0)) <=> quiet(X0)) [input p7]
11. ? [X0] : ~happy(X0) =... | 0 |
Everyone who is either strong or not calm is strong or not creative and vice versa.
Everyone who is either not brave or brave is both not happy and not tall and vice versa.
If alice is either not generous or not curious then someone is not quiet or not old and vice versa.
Everyone who is not quiet or strong is not calm... | Fred is tall. | contradiction | (![X]:((strong(X)<~>~calm(X))<=>(strong(X)|~creative(X))))&
(![X]:((~brave(X)<~>brave(X))<=>(~happy(X)&~tall(X))))&
(((~generous(alice)<~>~curious(alice)))<=>(?[X]:((~quiet(X)|~old(X)))))&
(![X]:((~quiet(X)|strong(X))=>(~calm(X)|calm(X))))&
((?[X]:((humble(X)|~creative(X))))<=>(rich(lucy)))&
((?[X]:((~funny(X)&patient(... | tall(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8794674880261819033913146
% SZS output start Proof for 8794674880261819033913146
2. ! [X0] : ((~brave(X0) <~> brave(X0)) <=> (~tall(X0) & ~happy(X0))) [input p1]
23. tall(fred) [input hypothesis]
37. ! [X0] : ((((~brave(X0) | brave(X0)) & (brave(X0) | ~brave(X0))) | (tall(X0) | happy(X0))... | 0 |
If susan is either not quiet or not tall then someone is rich or humble and vice versa.
If fred is either not brave or not kind then someone is both not tall and kind and vice versa.
If mary is not tall then paul is not strong and vice versa.
Everyone who is both not rich and not generous is either not kind or patient ... | Mary is funny. | entailment | (((~quiet(susan)<~>~tall(susan)))<=>(?[X]:((rich(X)|humble(X)))))&
(((~brave(fred)<~>~kind(fred)))<=>(?[X]:((~tall(X)&kind(X)))))&
((~tall(mary))<=>(~strong(paul)))&
(![X]:((~rich(X)&~generous(X))<=>(~kind(X)<~>patient(X))))&
(![X]:((calm(X)&humble(X))<=>(~humble(X)|~wise(X))))&
(![X]:((old(X)<~>~old(X))=>(funny(X)&wis... | funny(mary) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 5220965984136044274517370
% SZS output start Proof for 5220965984136044274517370
6. ! [X0] : ((old(X0) <~> ~old(X0)) => (wise(X0) & funny(X0))) [input p5]
23. ~funny(mary) [input hypothesis]
24. ! [X0] : ((wise(X0) & funny(X0)) | (old(X0) <=> ~old(X0))) [ennf transformation 6]
43. ! [X0] ... | 0 |
If mary is not rich then someone is patient.
If susan is curious then someone is either brave or not quiet and vice versa.
Everyone who is not curious or not brave is either tall or not calm.
Everyone who is not creative or kind is funny or not rich.
Everyone who is brave or rich is either not rich or not strong and vi... | John is not humble. | contradiction | ((~rich(mary))=>(?[X]:(patient(X))))&
((curious(susan))<=>(?[X]:((brave(X)<~>~quiet(X)))))&
(![X]:((~curious(X)|~brave(X))=>(tall(X)<~>~calm(X))))&
(![X]:((~creative(X)|kind(X))=>(funny(X)|~rich(X))))&
(![X]:((brave(X)|rich(X))<=>(~rich(X)<~>~strong(X))))&
(![X]:((tall(X)|~curious(X))=>(~kind(X)&~creative(X))))&
((?[X]... | ~humble(john) | [
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3985887219273578587127407
% SZS output start Proof for 3985887219273578587127407
14. humble(john) <=> ? [X0] : (quiet(X0) <~> ~quiet(X0)) [input p13]
24. ~humble(john) [input hypothesis]
62. (humble(john) | ! [X0] : ((quiet(X0) | quiet(X0)) & (~quiet(X0) | ~quiet(X0)))) & (? [X0] : ((quie... | 0 |
If someone is either not wise or patient then someone is either not wise or brave. If someone is creative then someone is happy. Everyone who is both not calm and not curious is calm and vice versa. Everyone who is both not generous and not humble is creative and vice versa. Everyone who is not happy or not funny is bo... | Alice is not curious. | contradiction | ((?[X]:((~wise(X)<~>patient(X))))=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:(creative(X)))=>(?[X]:(happy(X))))&
(![X]:((~calm(X)&~curious(X))<=>calm(X)))&
(![X]:((~generous(X)&~humble(X))<=>creative(X)))&
(![X]:((~happy(X)|~funny(X))=>(wise(X)&happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~old(X)&creative(X))))&
(![X]:((q... | ~curious(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 3586379720240653116630958
% SZS output start Proof for 3586379720240653116630958
3. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> calm(X0)) [input p2]
21. ~curious(alice) [input hypothesis]
43. ! [X0] : (((~curious(X0) & ~calm(X0)) | ~calm(X0)) & (calm(X0) | (curious(X0) | calm(X0)))) [nnf tra... | 0 |
Everyone who is rich or strong is either not quiet or humble and vice versa.
Everyone who is not humble is either not curious or funny.
Everyone who is both not kind and curious is generous and vice versa.
If someone is either not old or rich then someone is not funny and vice versa.
Everyone who is not generous is not... | Susan is funny. | neutral | (![X]:((rich(X)|strong(X))<=>(~quiet(X)<~>humble(X))))&
(![X]:(~humble(X)=>(~curious(X)<~>funny(X))))&
(![X]:((~kind(X)&curious(X))<=>generous(X)))&
((?[X]:((~old(X)<~>rich(X))))<=>(?[X]:(~funny(X))))&
(![X]:(~generous(X)=>(~tall(X)|kind(X))))&
((?[X]:(tall(X)))=>((~patient(alice)|~curious(alice))))&
(![X]:((~strong(X)... | funny(susan) | [] | null | 0 |
If someone is happy then john is creative or calm. Everyone who is humble or rich is either creative or brave. If someone is calm then john is not wise. Everyone who is both humble and funny is not funny. If alice is not generous then someone is not quiet and vice versa. Everyone who is creative is tall. If someone is ... | Paul is not tall. | contradiction | ((?[X]:(happy(X)))=>((creative(john)|calm(john))))&
(![X]:((humble(X)|rich(X))=>(creative(X)<~>brave(X))))&
((?[X]:(calm(X)))=>(~wise(john)))&
(![X]:((humble(X)&funny(X))=>~funny(X)))&
((~generous(alice))<=>(?[X]:(~quiet(X))))&
(![X]:(creative(X)=>tall(X)))&
((?[X]:((curious(X)|funny(X))))=>(?[X]:((wise(X)|quiet(X)))))... | ~tall(paul) | [
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4534778044305304278775052
% SZS output start Proof for 4534778044305304278775052
6. ! [X0] : (creative(X0) => tall(X0)) [input p5]
8. ! [X0] : ((~creative(X0) | ~patient(X0)) => ~quiet(X0)) [input p7]
10. (brave(paul) & tall(paul)) <=> (~funny(paul) | ~quiet(paul)) [input p9]
25. ~tall(pa... | 0 |
If someone is not funny or happy then mary is either not brave or old. If someone is not rich or not tall then mary is not old. If someone is both generous and not old then lucy is either not curious or not generous. Everyone who is either tall or kind is either kind or not kind and vice versa. Everyone who is either p... | Mary is generous. | entailment | ((?[X]:((~funny(X)|happy(X))))=>((~brave(mary)<~>old(mary))))&
((?[X]:((~rich(X)|~tall(X))))=>(~old(mary)))&
((?[X]:((generous(X)&~old(X))))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:((tall(X)<~>kind(X))<=>(kind(X)<~>~kind(X))))&
(![X]:((patient(X)<~>~strong(X))<=>(~patient(X)|old(X))))&
(![X]:((calm(X)<~>~strong(X... | generous(mary) | [
"p0",
"p1",
"p3",
"p8",
"p12",
"p14",
"p15",
"p16",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 4064242583257485733157678
% SZS output start Proof for 4064242583257485733157678
1. ? [X0] : (happy(X0) | ~funny(X0)) => (~brave(mary) <~> old(mary)) [input p0]
2. ? [X0] : (~tall(X0) | ~rich(X0)) => ~old(mary) [input p1]
4. ! [X0] : ((tall(X0) <~> kind(X0)) <=> (kind(X0) <~> ~kind(X0))) ... | 0 |
Everyone who is both brave and not patient is either not tall or not funny and vice versa.
If someone is either not wise or creative then someone is either not rich or not patient and vice versa.
If lucy is humble then someone is both creative and quiet and vice versa.
If mary is either rich or happy then alice is curi... | Mary is not generous. | entailment | (![X]:((brave(X)&~patient(X))<=>(~tall(X)<~>~funny(X))))&
((?[X]:((~wise(X)<~>creative(X))))<=>(?[X]:((~rich(X)<~>~patient(X)))))&
((humble(lucy))<=>(?[X]:((creative(X)&quiet(X)))))&
(((rich(mary)<~>happy(mary)))=>(curious(alice)))&
((?[X]:((~rich(X)<~>strong(X))))<=>(?[X]:((~funny(X)|~generous(X)))))&
(![X]:((tall(X)<... | ~generous(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8965113634738055438377914
% SZS output start Proof for 8965113634738055438377914
16. ! [X0] : ((generous(X0) | rich(X0)) => ~generous(X0)) [input p15]
25. generous(mary) [input hypothesis]
40. ! [X0] : (~generous(X0) | (~generous(X0) & ~rich(X0))) [ennf transformation 16]
162. ~generous(X... | 0 |
If someone is not calm or old then john is either not funny or tall. If lucy is patient or not kind then paul is not old or not rich. Everyone who is both not calm and curious is patient. If someone is both not humble and funny then paul is not humble or not happy and vice versa. If someone is generous or wise then som... | John is not quiet. | contradiction | ((?[X]:((~calm(X)|old(X))))=>((~funny(john)<~>tall(john))))&
(((patient(lucy)|~kind(lucy)))=>((~old(paul)|~rich(paul))))&
(![X]:((~calm(X)&curious(X))=>patient(X)))&
((?[X]:((~humble(X)&funny(X))))<=>((~humble(paul)|~happy(paul))))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:((~happy(X)<~>~patient(X)))))&
(((strong(lucy)|~... | ~quiet(john) | [
"p0",
"p8",
"p9",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8112019051285365821287972
% SZS output start Proof for 8112019051285365821287972
1. ? [X0] : (old(X0) | ~calm(X0)) => (~funny(john) <~> tall(john)) [input p0]
9. ! [X0] : ((~quiet(X0) | ~humble(X0)) => ~tall(X0)) [input p8]
10. ! [X0] : ((creative(X0) | ~quiet(X0)) <=> (tall(X0) <~> funny... | 0 |
If mary is both not curious and rich then fred is either tall or rich.
Everyone who is not wise or not curious is tall and vice versa.
Everyone who is not humble or creative is both quiet and strong.
If someone is not generous then someone is either curious or not happy and vice versa.
Everyone who is not tall is both ... | Fred is not funny. | entailment | (((~curious(mary)&rich(mary)))=>((tall(fred)<~>rich(fred))))&
(![X]:((~wise(X)|~curious(X))<=>tall(X)))&
(![X]:((~humble(X)|creative(X))=>(quiet(X)&strong(X))))&
((?[X]:(~generous(X)))<=>(?[X]:((curious(X)<~>~happy(X)))))&
(![X]:(~tall(X)<=>(~calm(X)&~kind(X))))&
((?[X]:((~humble(X)&~patient(X))))=>(?[X]:((~rich(X)<~>~... | ~funny(fred) | [
"p2",
"p6",
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 437528872477894421913803
% SZS output start Proof for 437528872477894421913803
3. ! [X0] : ((creative(X0) | ~humble(X0)) => (strong(X0) & quiet(X0))) [input p2]
7. ! [X0] : (~creative(X0) => (~old(X0) & curious(X0))) [input p6]
10. ! [X0] : ((funny(X0) & strong(X0)) => ~patient(X0)) [inpu... | 0 |
If alice is not brave or strong then mary is not curious or not happy.
Everyone who is creative is both not creative and not tall and vice versa.
If lucy is not wise then someone is both patient and generous.
If paul is either kind or not quiet then fred is funny.
Everyone who is kind or generous is generous.
Everyone ... | Susan is patient. | contradiction | (((~brave(alice)|strong(alice)))=>((~curious(mary)|~happy(mary))))&
(![X]:(creative(X)<=>(~creative(X)&~tall(X))))&
((~wise(lucy))=>(?[X]:((patient(X)&generous(X)))))&
(((kind(paul)<~>~quiet(paul)))=>(funny(fred)))&
(![X]:((kind(X)|generous(X))=>generous(X)))&
(![X]:(~old(X)<=>~funny(X)))&
(![X]:((~old(X)&curious(X))=>... | patient(susan) | [
"p1",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 312900292427899669606958
% SZS output start Proof for 312900292427899669606958
2. ! [X0] : (creative(X0) <=> (~tall(X0) & ~creative(X0))) [input p1]
12. patient(susan) <=> ? [X0] : creative(X0) [input p11]
21. patient(susan) [input hypothesis]
37. ! [X0] : ((creative(X0) | (tall(X0) | cre... | 0 |
Everyone who is not curious or not old is either generous or rich.
If mary is either creative or humble then someone is patient or not funny.
Everyone who is wise or not humble is either old or not brave and vice versa.
Everyone who is old or not old is both not generous and not curious.
Everyone who is humble or gener... | Alice is happy. | neutral | (![X]:((~curious(X)|~old(X))=>(generous(X)<~>rich(X))))&
(((creative(mary)<~>humble(mary)))=>(?[X]:((patient(X)|~funny(X)))))&
(![X]:((wise(X)|~humble(X))<=>(old(X)<~>~brave(X))))&
(![X]:((old(X)|~old(X))=>(~generous(X)&~curious(X))))&
(![X]:((humble(X)|generous(X))=>(~generous(X)<~>~strong(X))))&
((?[X]:((~patient(X)<... | happy(alice) | [] | null | 0 |
Everyone who is not strong or not generous is not calm.
If someone is either humble or not humble then mary is both not strong and curious.
Everyone who is both tall and brave is either not calm or not rich.
Everyone who is not generous is either wise or tall and vice versa.
Everyone who is either not curious or curiou... | Mary is not humble. | neutral | (![X]:((~strong(X)|~generous(X))=>~calm(X)))&
((?[X]:((humble(X)<~>~humble(X))))=>((~strong(mary)&curious(mary))))&
(![X]:((tall(X)&brave(X))=>(~calm(X)<~>~rich(X))))&
(![X]:(~generous(X)<=>(wise(X)<~>tall(X))))&
(![X]:((~curious(X)<~>curious(X))=>brave(X)))&
((?[X]:((generous(X)|wise(X))))=>(?[X]:(~creative(X))))&
(((... | ~humble(mary) | [] | null | 0 |
Everyone who is both not generous and humble is calm and vice versa.
Everyone who is brave is both not quiet and not funny.
If someone is both not funny and calm then someone is creative.
Everyone who is both old and strong is tall or not brave.
If someone is strong then mary is either funny or not tall and vice versa.... | Paul is not happy. | contradiction | (![X]:((~generous(X)&humble(X))<=>calm(X)))&
(![X]:(brave(X)=>(~quiet(X)&~funny(X))))&
((?[X]:((~funny(X)&calm(X))))=>(?[X]:(creative(X))))&
(![X]:((old(X)&strong(X))=>(tall(X)|~brave(X))))&
((?[X]:(strong(X)))<=>((funny(mary)<~>~tall(mary))))&
(![X]:((calm(X)&tall(X))<=>~happy(X)))&
(![X]:((kind(X)|humble(X))=>(tall(X... | ~happy(paul) | [
"p0",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8944090795534809927647729
% SZS output start Proof for 8944090795534809927647729
1. ! [X0] : ((humble(X0) & ~generous(X0)) <=> calm(X0)) [input p0]
6. ! [X0] : ((tall(X0) & calm(X0)) <=> ~happy(X0)) [input p5]
7. ! [X0] : ((humble(X0) | kind(X0)) => (~calm(X0) & tall(X0))) [input p6]
22. ... | 0 |
Everyone who is either humble or curious is both not happy and not kind and vice versa.
If john is kind then someone is not tall.
Everyone who is happy or not brave is both strong and wise and vice versa.
If john is kind or not calm then someone is both not kind and curious.
Everyone who is rich or strong is funny.
Eve... | Susan is not brave. | contradiction | (![X]:((humble(X)<~>curious(X))<=>(~happy(X)&~kind(X))))&
((kind(john))=>(?[X]:(~tall(X))))&
(![X]:((happy(X)|~brave(X))<=>(strong(X)&wise(X))))&
(((kind(john)|~calm(john)))=>(?[X]:((~kind(X)&curious(X)))))&
(![X]:((rich(X)|strong(X))=>funny(X)))&
(![X]:(~funny(X)<=>(creative(X)|~old(X))))&
(![X]:((strong(X)|~old(X))=>... | ~brave(susan) | [
"p2",
"p4",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 7016866046786818561800412
% SZS output start Proof for 7016866046786818561800412
3. ! [X0] : ((~brave(X0) | happy(X0)) <=> (wise(X0) & strong(X0))) [input p2]
5. ! [X0] : ((strong(X0) | rich(X0)) => funny(X0)) [input p4]
6. ! [X0] : (~funny(X0) <=> (~old(X0) | creative(X0))) [input p5]
7.... | 0 |
Everyone who is either not brave or not happy is not funny. Everyone who is not quiet or not curious is not kind or not humble. Everyone who is not humble or brave is both rich and patient and vice versa. Everyone who is either brave or not rich is not calm and vice versa. Everyone who is brave or not tall is brave or ... | Paul is not kind. | entailment | (![X]:((~brave(X)<~>~happy(X))=>~funny(X)))&
(![X]:((~quiet(X)|~curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((~humble(X)|brave(X))<=>(rich(X)&patient(X))))&
(![X]:((brave(X)<~>~rich(X))<=>~calm(X)))&
(![X]:((brave(X)|~tall(X))<=>(brave(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(... | ~kind(paul) | [
"p1",
"p2",
"p5",
"p7",
"p12",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4228803031784326743751434
% SZS output start Proof for 4228803031784326743751434
2. ! [X0] : ((~curious(X0) | ~quiet(X0)) => (~humble(X0) | ~kind(X0))) [input p1]
3. ! [X0] : ((brave(X0) | ~humble(X0)) <=> (patient(X0) & rich(X0))) [input p2]
6. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X... | 0 |
If someone is either not generous or generous then mary is brave or not brave and vice versa.
Everyone who is either not brave or not creative is either wise or rich and vice versa.
Everyone who is not wise is happy or not creative and vice versa.
Everyone who is brave is not calm or rich and vice versa.
Everyone who i... | Mary is not curious. | contradiction | ((?[X]:((~generous(X)<~>generous(X))))<=>((brave(mary)|~brave(mary))))&
(![X]:((~brave(X)<~>~creative(X))<=>(wise(X)<~>rich(X))))&
(![X]:(~wise(X)<=>(happy(X)|~creative(X))))&
(![X]:(brave(X)<=>(~calm(X)|rich(X))))&
(![X]:((~creative(X)|~brave(X))<=>(wise(X)|funny(X))))&
((~quiet(fred))<=>(rich(paul)))&
(![X]:((patient... | ~curious(mary) | [
"p1",
"p2",
"p3",
"p4",
"p6",
"p11",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4039804258919030230619157
% SZS output start Proof for 4039804258919030230619157
2. ! [X0] : ((~brave(X0) <~> ~creative(X0)) <=> (wise(X0) <~> rich(X0))) [input p1]
3. ! [X0] : (~wise(X0) <=> (~creative(X0) | happy(X0))) [input p2]
4. ! [X0] : (brave(X0) <=> (rich(X0) | ~calm(X0))) [input... | 0 |
If someone is not strong then someone is curious and vice versa.
Everyone who is not rich or brave is both calm and kind and vice versa.
Everyone who is not funny or not quiet is either not quiet or brave and vice versa.
If someone is both not rich and kind then fred is both tall and not calm and vice versa.
Everyone w... | John is tall. | neutral | ((?[X]:(~strong(X)))<=>(?[X]:(curious(X))))&
(![X]:((~rich(X)|brave(X))<=>(calm(X)&kind(X))))&
(![X]:((~funny(X)|~quiet(X))<=>(~quiet(X)<~>brave(X))))&
((?[X]:((~rich(X)&kind(X))))<=>((tall(fred)&~calm(fred))))&
(![X]:(~quiet(X)=>rich(X)))&
((?[X]:((~strong(X)|~quiet(X))))<=>(?[X]:((~old(X)|humble(X)))))&
((?[X]:((~cal... | tall(john) | [] | null | 0 |
If mary is not patient or not creative then john is both brave and kind. Everyone who is brave is creative. If someone is both not wise and generous then someone is both funny and tall and vice versa. If susan is not curious or wise then alice is generous or happy and vice versa. Everyone who is both curious and not hu... | John is not old. | contradiction | (((~patient(mary)|~creative(mary)))=>((brave(john)&kind(john))))&
(![X]:(brave(X)=>creative(X)))&
((?[X]:((~wise(X)&generous(X))))<=>(?[X]:((funny(X)&tall(X)))))&
(((~curious(susan)|wise(susan)))<=>((generous(alice)|happy(alice))))&
(![X]:((curious(X)&~humble(X))<=>~curious(X)))&
((?[X]:(curious(X)))=>(?[X]:((~old(X)&~... | ~old(john) | [
"p4",
"p6",
"p8",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6060203980516731509142970
% SZS output start Proof for 6060203980516731509142970
5. ! [X0] : ((~humble(X0) & curious(X0)) <=> ~curious(X0)) [input p4]
7. (~creative(alice) | kind(alice)) <=> (rich(john) & tall(john)) [input p6]
9. ! [X0] : ((generous(X0) & happy(X0)) <=> ~old(X0)) [input ... | 0 |
Everyone who is both calm and not strong is not generous.
Everyone who is either creative or funny is both not calm and not funny.
If susan is either not strong or not happy then lucy is both kind and not curious.
Everyone who is either strong or humble is either brave or curious.
If susan is both not tall and not brav... | Paul is rich. | entailment | (![X]:((calm(X)&~strong(X))=>~generous(X)))&
(![X]:((creative(X)<~>funny(X))=>(~calm(X)&~funny(X))))&
(((~strong(susan)<~>~happy(susan)))=>((kind(lucy)&~curious(lucy))))&
(![X]:((strong(X)<~>humble(X))=>(brave(X)<~>curious(X))))&
(((~tall(susan)&~brave(susan)))<=>((~funny(fred)|strong(fred))))&
((creative(lucy))<=>(fun... | rich(paul) | [
"p1",
"p9",
"p11",
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 32982768246404662746300
% SZS output start Proof for 32982768246404662746300
2. ! [X0] : ((creative(X0) <~> funny(X0)) => (~funny(X0) & ~calm(X0))) [input p1]
10. ! [X0] : (~rich(X0) => (strong(X0) <~> ~patient(X0))) [input p9]
12. ! [X0] : (creative(X0) => (~calm(X0) & strong(X0))) [inpu... | 0 |
Everyone who is either not patient or not brave is either funny or not wise.
Everyone who is curious or humble is not strong.
Everyone who is either wise or generous is either happy or not patient and vice versa.
Everyone who is both not patient and strong is patient or not funny and vice versa.
Everyone who is rich is... | Fred is not quiet. | neutral | (![X]:((~patient(X)<~>~brave(X))=>(funny(X)<~>~wise(X))))&
(![X]:((curious(X)|humble(X))=>~strong(X)))&
(![X]:((wise(X)<~>generous(X))<=>(happy(X)<~>~patient(X))))&
(![X]:((~patient(X)&strong(X))<=>(patient(X)|~funny(X))))&
(![X]:(rich(X)<=>brave(X)))&
(![X]:(brave(X)<=>patient(X)))&
(![X]:((~old(X)&~humble(X))=>(tall(... | ~quiet(fred) | [] | null | 0 |
If susan is either happy or funny then someone is either kind or not patient. If someone is wise or generous then someone is both patient and not generous and vice versa. Everyone who is either strong or not strong is kind and vice versa. Everyone who is both not brave and old is not generous or not brave and vice vers... | Alice is not humble. | entailment | (((happy(susan)<~>funny(susan)))=>(?[X]:((kind(X)<~>~patient(X)))))&
((?[X]:((wise(X)|generous(X))))<=>(?[X]:((patient(X)&~generous(X)))))&
(![X]:((strong(X)<~>~strong(X))<=>kind(X)))&
(![X]:((~brave(X)&old(X))<=>(~generous(X)|~brave(X))))&
((rich(john))=>(?[X]:((~creative(X)<~>~happy(X)))))&
(![X]:((tall(X)|funny(X))=... | ~humble(alice) | [
"p2",
"p6",
"p10",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 562980168640587212802
% SZS output start Proof for 562980168640587212802
3. ! [X0] : ((strong(X0) <~> ~strong(X0)) <=> kind(X0)) [input p2]
7. ! [X0] : ((patient(X0) | quiet(X0)) => funny(X0)) [input p6]
11. ! [X0] : ((~humble(X0) <~> funny(X0)) <=> (~quiet(X0) & old(X0))) [input p10]
12.... | 0 |
If lucy is either tall or not rich then lucy is both not patient and not quiet and vice versa.
Everyone who is either not happy or not funny is both not calm and generous.
If someone is both rich and creative then lucy is either not strong or not calm.
Everyone who is curious or calm is either not kind or happy and vic... | John is patient. | entailment | (((tall(lucy)<~>~rich(lucy)))<=>((~patient(lucy)&~quiet(lucy))))&
(![X]:((~happy(X)<~>~funny(X))=>(~calm(X)&generous(X))))&
((?[X]:((rich(X)&creative(X))))=>((~strong(lucy)<~>~calm(lucy))))&
(![X]:((curious(X)|calm(X))<=>(~kind(X)<~>happy(X))))&
((?[X]:(~old(X)))<=>((old(fred)<~>~humble(fred))))&
(((happy(fred)<~>~brav... | patient(john) | [
"p4",
"p8",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 61399137634704714641274
% SZS output start Proof for 61399137634704714641274
5. ? [X0] : ~old(X0) <=> (old(fred) <~> ~humble(fred)) [input p4]
9. ? [X0] : ~patient(X0) <=> (generous(fred) & ~old(fred)) [input p8]
16. (humble(fred) & ~brave(fred)) <=> ? [X0] : (~funny(X0) | tall(X0)) [inpu... | 0 |
If alice is humble then someone is both not patient and creative. If someone is both not calm and not humble then lucy is kind and vice versa. Everyone who is both happy and generous is either not curious or not brave and vice versa. Everyone who is both calm and not strong is both not creative and not curious and vice... | Paul is rich. | entailment | ((humble(alice))=>(?[X]:((~patient(X)&creative(X)))))&
((?[X]:((~calm(X)&~humble(X))))<=>(kind(lucy)))&
(![X]:((happy(X)&generous(X))<=>(~curious(X)<~>~brave(X))))&
(![X]:((calm(X)&~strong(X))<=>(~creative(X)&~curious(X))))&
(![X]:((humble(X)<~>~wise(X))<=>(~creative(X)|kind(X))))&
((?[X]:((~calm(X)|~rich(X))))=>((~ric... | rich(paul) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 495105125000526337662595
% SZS output start Proof for 495105125000526337662595
20. rich(paul) [input p19]
25. ~rich(paul) [input hypothesis]
131. rich(paul) [cnf transformation 20]
138. ~rich(paul) [cnf transformation 25]
176. 9 <=> rich(paul) [avatar definition]
294. 9 [avatar split clau... | 0 |
If someone is generous or not generous then john is either quiet or strong. Everyone who is not calm or not rich is either not old or not curious. If alice is not funny then fred is not brave and vice versa. If john is either quiet or not strong then someone is curious or wise and vice versa. Everyone who is generous o... | Alice is not kind. | entailment | ((?[X]:((generous(X)|~generous(X))))=>((quiet(john)<~>strong(john))))&
(![X]:((~calm(X)|~rich(X))=>(~old(X)<~>~curious(X))))&
((~funny(alice))<=>(~brave(fred)))&
(((quiet(john)<~>~strong(john)))<=>(?[X]:((curious(X)|wise(X)))))&
(![X]:((generous(X)|calm(X))<=>(~kind(X)&happy(X))))&
(![X]:((~generous(X)|~humble(X))=>(~c... | ~kind(alice) | [
"p4",
"p5",
"p6",
"p7",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7577626374287195784711252
% SZS output start Proof for 7577626374287195784711252
5. ! [X0] : ((calm(X0) | generous(X0)) <=> (happy(X0) & ~kind(X0))) [input p4]
6. ! [X0] : ((~humble(X0) | ~generous(X0)) => (old(X0) & ~curious(X0))) [input p5]
7. ! [X0] : (old(X0) <=> ~brave(X0)) [input p6... | 0 |
If mary is rich then someone is both humble and not funny.
Everyone who is both old and not creative is either calm or not funny.
Everyone who is both generous and not happy is either not strong or not kind and vice versa.
Everyone who is both not kind and tall is both tall and generous and vice versa.
If susan is not ... | Mary is not generous. | neutral | ((rich(mary))=>(?[X]:((humble(X)&~funny(X)))))&
(![X]:((old(X)&~creative(X))=>(calm(X)<~>~funny(X))))&
(![X]:((generous(X)&~happy(X))<=>(~strong(X)<~>~kind(X))))&
(![X]:((~kind(X)&tall(X))<=>(tall(X)&generous(X))))&
(((~patient(susan)|~brave(susan)))=>(?[X]:(patient(X))))&
(![X]:((~humble(X)|~rich(X))<=>~generous(X)))&... | ~generous(mary) | [] | null | 0 |
If fred is not happy then lucy is either not old or quiet and vice versa. If alice is both old and rich then someone is not funny or rich. Everyone who is not calm is strong or not calm. If someone is either not old or tall then john is not tall or curious and vice versa. If fred is strong then paul is both wise and st... | Susan is tall. | contradiction | ((~happy(fred))<=>((~old(lucy)<~>quiet(lucy))))&
(((old(alice)&rich(alice)))=>(?[X]:((~funny(X)|rich(X)))))&
(![X]:(~calm(X)=>(strong(X)|~calm(X))))&
((?[X]:((~old(X)<~>tall(X))))<=>((~tall(john)|curious(john))))&
((strong(fred))=>((wise(paul)&strong(paul))))&
((~patient(lucy))<=>((~creative(fred)<~>creative(fred))))&
... | tall(susan) | [
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 80060083267432150944680
% SZS output start Proof for 80060083267432150944680
15. ! [X0] : ((~patient(X0) & ~old(X0)) <=> (~tall(X0) & ~strong(X0))) [input p14]
24. ~old(susan) & ~patient(susan) [input p23]
25. tall(susan) [input hypothesis]
65. ! [X0] : (((~patient(X0) & ~old(X0)) | (tall... | 0 |
Everyone who is not funny is either not patient or not happy.
If susan is not brave then lucy is both not kind and not calm and vice versa.
Everyone who is not calm is both happy and brave.
Everyone who is not creative is both calm and kind and vice versa.
Everyone who is not wise is happy.
Everyone who is not curious ... | Paul is not funny. | contradiction | (![X]:(~funny(X)=>(~patient(X)<~>~happy(X))))&
((~brave(susan))<=>((~kind(lucy)&~calm(lucy))))&
(![X]:(~calm(X)=>(happy(X)&brave(X))))&
(![X]:(~creative(X)<=>(calm(X)&kind(X))))&
(![X]:(~wise(X)=>happy(X)))&
(![X]:(~curious(X)=>(~happy(X)|strong(X))))&
(![X]:((~old(X)&~tall(X))<=>(creative(X)|rich(X))))&
((?[X]:((calm(... | ~funny(paul) | [
"p0",
"p2",
"p8",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8953800690469008200529624
% SZS output start Proof for 8953800690469008200529624
1. ! [X0] : (~funny(X0) => (~patient(X0) <~> ~happy(X0))) [input p0]
3. ! [X0] : (~calm(X0) => (brave(X0) & happy(X0))) [input p2]
9. ! [X0] : (~calm(X0) <=> (~humble(X0) | ~funny(X0))) [input p8]
12. ! [X0] ... | 0 |
Everyone who is old or wise is both patient and curious. Everyone who is not quiet is generous or happy and vice versa. Everyone who is either wise or calm is patient. Everyone who is not funny or quiet is both not wise and tall and vice versa. Everyone who is both creative and humble is not wise. Everyone who is brave... | Mary is curious. | contradiction | (![X]:((old(X)|wise(X))=>(patient(X)&curious(X))))&
(![X]:(~quiet(X)<=>(generous(X)|happy(X))))&
(![X]:((wise(X)<~>calm(X))=>patient(X)))&
(![X]:((~funny(X)|quiet(X))<=>(~wise(X)&tall(X))))&
(![X]:((creative(X)&humble(X))=>~wise(X)))&
(![X]:(brave(X)=>(~quiet(X)|~happy(X))))&
(((~kind(paul)|~rich(paul)))=>(?[X]:((funny... | curious(mary) | [
"p0",
"p3",
"p8",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8730320411255724656669693
% SZS output start Proof for 8730320411255724656669693
1. ! [X0] : ((wise(X0) | old(X0)) => (curious(X0) & patient(X0))) [input p0]
4. ! [X0] : ((quiet(X0) | ~funny(X0)) <=> (tall(X0) & ~wise(X0))) [input p3]
9. ! [X0] : ((~curious(X0) & creative(X0)) <=> (~wise(... | 0 |
Everyone who is creative or not curious is curious and vice versa.
If someone is not patient or kind then john is not curious or curious.
If mary is either patient or calm then someone is rich or not happy and vice versa.
If someone is rich or not old then susan is both not funny and not generous and vice versa.
Everyo... | John is not old. | neutral | (![X]:((creative(X)|~curious(X))<=>curious(X)))&
((?[X]:((~patient(X)|kind(X))))=>((~curious(john)|curious(john))))&
(((patient(mary)<~>calm(mary)))<=>(?[X]:((rich(X)|~happy(X)))))&
((?[X]:((rich(X)|~old(X))))<=>((~funny(susan)&~generous(susan))))&
(![X]:((wise(X)|~patient(X))<=>(~wise(X)<~>~tall(X))))&
((?[X]:((brave(... | ~old(john) | [] | null | 0 |
Everyone who is either strong or kind is either generous or not patient and vice versa.
If someone is generous or not humble then mary is both kind and not happy and vice versa.
If susan is either not tall or creative then someone is either not old or humble.
Everyone who is not generous or happy is not brave and vice ... | Susan is not creative. | entailment | (![X]:((strong(X)<~>kind(X))<=>(generous(X)<~>~patient(X))))&
((?[X]:((generous(X)|~humble(X))))<=>((kind(mary)&~happy(mary))))&
(((~tall(susan)<~>creative(susan)))=>(?[X]:((~old(X)<~>humble(X)))))&
(![X]:((~generous(X)|happy(X))<=>~brave(X)))&
(((generous(john)&happy(john)))<=>(?[X]:((quiet(X)<~>~calm(X)))))&
(![X]:((... | ~creative(susan) | [
"p1",
"p3",
"p5",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 59990909728056108414758
% SZS output start Proof for 59990909728056108414758
2. ? [X0] : (~humble(X0) | generous(X0)) <=> (~happy(mary) & kind(mary)) [input p1]
4. ! [X0] : ((happy(X0) | ~generous(X0)) <=> ~brave(X0)) [input p3]
6. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> funny(X0)) [... | 0 |
Everyone who is not generous is either curious or not patient. Everyone who is both funny and patient is kind or funny and vice versa. If someone is either not humble or not quiet then someone is both not quiet and not strong and vice versa. If fred is both not creative and not wise then someone is either happy or pati... | Fred is curious. | entailment | (![X]:(~generous(X)=>(curious(X)<~>~patient(X))))&
(![X]:((funny(X)&patient(X))<=>(kind(X)|funny(X))))&
((?[X]:((~humble(X)<~>~quiet(X))))<=>(?[X]:((~quiet(X)&~strong(X)))))&
(((~creative(fred)&~wise(fred)))=>(?[X]:((happy(X)<~>patient(X)))))&
(((patient(fred)&humble(fred)))<=>((creative(fred)<~>~tall(fred))))&
(![X]:(... | curious(fred) | [
"p9",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2416270607615525388297577
% SZS output start Proof for 2416270607615525388297577
10. ! [X0] : (curious(X0) <=> (humble(X0) | ~wise(X0))) [input p9]
13. ! [X0] : ((~wise(X0) & ~patient(X0)) <=> (~patient(X0) <~> ~brave(X0))) [input p12]
21. brave(fred) <~> patient(fred) [input p20]
25. ~cu... | 0 |
Everyone who is both tall and wise is funny or not creative. If mary is not old then susan is either humble or wise and vice versa. Everyone who is both not quiet and humble is not creative and vice versa. Everyone who is either not curious or not creative is not strong or happy. Everyone who is either not funny or old... | Susan is not curious. | neutral | (![X]:((tall(X)&wise(X))=>(funny(X)|~creative(X))))&
((~old(mary))<=>((humble(susan)<~>wise(susan))))&
(![X]:((~quiet(X)&humble(X))<=>~creative(X)))&
(![X]:((~curious(X)<~>~creative(X))=>(~strong(X)|happy(X))))&
(![X]:((~funny(X)<~>old(X))=>(old(X)|~funny(X))))&
(![X]:(generous(X)<=>(~quiet(X)|creative(X))))&
((?[X]:(~... | ~curious(susan) | [] | null | 0 |
If someone is either not patient or not strong then someone is not brave or brave. Everyone who is both not happy and creative is not quiet and vice versa. Everyone who is rich is not humble and vice versa. If lucy is both generous and not wise then lucy is both not quiet and rich and vice versa. If paul is not patient... | Lucy is rich. | contradiction | ((?[X]:((~patient(X)<~>~strong(X))))=>(?[X]:((~brave(X)|brave(X)))))&
(![X]:((~happy(X)&creative(X))<=>~quiet(X)))&
(![X]:(rich(X)<=>~humble(X)))&
(((generous(lucy)&~wise(lucy)))<=>((~quiet(lucy)&rich(lucy))))&
((~patient(paul))=>(?[X]:(~humble(X))))&
(![X]:(~patient(X)=>(~old(X)<~>creative(X))))&
(![X]:((old(X)|~calm(... | rich(lucy) | [
"p2",
"p6",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 20600115675481537896957
% SZS output start Proof for 20600115675481537896957
3. ! [X0] : (rich(X0) <=> ~humble(X0)) [input p2]
7. ! [X0] : ((~calm(X0) | old(X0)) => (humble(X0) & quiet(X0))) [input p6]
23. curious(lucy) & old(lucy) [input p22]
25. rich(lucy) [input hypothesis]
32. ! [X0] ... | 0 |
Everyone who is either not generous or not brave is both not quiet and not creative. If mary is not tall then someone is not creative or wise. Everyone who is either not old or not kind is either kind or generous. If someone is humble then someone is either not kind or not rich and vice versa. Everyone who is not calm ... | Paul is not old. | entailment | (![X]:((~generous(X)<~>~brave(X))=>(~quiet(X)&~creative(X))))&
((~tall(mary))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:((~old(X)<~>~kind(X))=>(kind(X)<~>generous(X))))&
((?[X]:(humble(X)))<=>(?[X]:((~kind(X)<~>~rich(X)))))&
(![X]:((~calm(X)|generous(X))<=>(generous(X)<~>~wise(X))))&
(((~creative(paul)|brave(paul)))<=>(... | ~old(paul) | [
"p0",
"p2",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8559368444822043295400292
% SZS output start Proof for 8559368444822043295400292
1. ! [X0] : ((~generous(X0) <~> ~brave(X0)) => (~creative(X0) & ~quiet(X0))) [input p0]
3. ! [X0] : ((~old(X0) <~> ~kind(X0)) => (kind(X0) <~> generous(X0))) [input p2]
6. (brave(paul) | ~creative(paul)) <=> ... | 0 |
If someone is either brave or happy then mary is not strong.
Everyone who is creative or not old is brave or patient and vice versa.
If someone is both not funny and happy then someone is both not creative and not humble.
If someone is either not old or not funny then alice is either not rich or not wise and vice versa... | Alice is rich. | entailment | ((?[X]:((brave(X)<~>happy(X))))=>(~strong(mary)))&
(![X]:((creative(X)|~old(X))<=>(brave(X)|patient(X))))&
((?[X]:((~funny(X)&happy(X))))=>(?[X]:((~creative(X)&~humble(X)))))&
((?[X]:((~old(X)<~>~funny(X))))<=>((~rich(alice)<~>~wise(alice))))&
(![X]:((creative(X)|calm(X))<=>brave(X)))&
((rich(susan))<=>(~funny(mary)))&... | rich(alice) | [
"p3",
"p4",
"p6",
"p7",
"p8",
"p9",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7291126957604781798995459
% SZS output start Proof for 7291126957604781798995459
4. ? [X0] : (~old(X0) <~> ~funny(X0)) <=> (~rich(alice) <~> ~wise(alice)) [input p3]
5. ! [X0] : ((calm(X0) | creative(X0)) <=> brave(X0)) [input p4]
7. (~funny(paul) | ~kind(paul)) <=> ? [X0] : (~generous(X0... | 0 |
Everyone who is either curious or old is generous or not generous and vice versa. If susan is brave then paul is generous or not rich and vice versa. Everyone who is either tall or not kind is both patient and strong and vice versa. Everyone who is generous is both not tall and old and vice versa. If lucy is old or not... | Fred is not patient. | contradiction | (![X]:((curious(X)<~>old(X))<=>(generous(X)|~generous(X))))&
((brave(susan))<=>((generous(paul)|~rich(paul))))&
(![X]:((tall(X)<~>~kind(X))<=>(patient(X)&strong(X))))&
(![X]:(generous(X)<=>(~tall(X)&old(X))))&
(((old(lucy)|~strong(lucy)))=>((old(susan)&~curious(susan))))&
((~kind(susan))<=>(?[X]:(creative(X))))&
((?[X]... | ~patient(fred) | [
"p2",
"p3",
"p7",
"p8",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4505778681338553274264879
% SZS output start Proof for 4505778681338553274264879
3. ! [X0] : ((tall(X0) <~> ~kind(X0)) <=> (strong(X0) & patient(X0))) [input p2]
4. ! [X0] : (generous(X0) <=> (old(X0) & ~tall(X0))) [input p3]
8. ! [X0] : (~funny(X0) <=> kind(X0)) [input p7]
9. ? [X0] : (~... | 0 |
Everyone who is both happy and not rich is generous or not kind.
Everyone who is either calm or brave is not funny or not strong.
Everyone who is not happy or not kind is not calm.
Everyone who is either not funny or wise is both wise and not rich and vice versa.
Everyone who is not creative or not humble is rich and v... | Fred is generous. | neutral | (![X]:((happy(X)&~rich(X))=>(generous(X)|~kind(X))))&
(![X]:((calm(X)<~>brave(X))=>(~funny(X)|~strong(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((~funny(X)<~>wise(X))<=>(wise(X)&~rich(X))))&
(![X]:((~creative(X)|~humble(X))<=>rich(X)))&
(((generous(susan)&~rich(susan)))=>((humble(fred)<~>happy(fred))))&
((?... | generous(fred) | [] | null | 0 |
Everyone who is not old or calm is both strong and not funny. Everyone who is either happy or not curious is both generous and not old. Everyone who is strong or old is not funny or not brave and vice versa. If mary is not kind or kind then someone is both quiet and not humble and vice versa. If alice is not generous o... | Mary is kind. | neutral | (![X]:((~old(X)|calm(X))=>(strong(X)&~funny(X))))&
(![X]:((happy(X)<~>~curious(X))=>(generous(X)&~old(X))))&
(![X]:((strong(X)|old(X))<=>(~funny(X)|~brave(X))))&
(((~kind(mary)|kind(mary)))<=>(?[X]:((quiet(X)&~humble(X)))))&
(((~generous(alice)|rich(alice)))<=>((old(john)|creative(john))))&
((?[X]:(strong(X)))=>((~rich... | kind(mary) | [] | null | 0 |
Everyone who is either not humble or not calm is either not funny or happy and vice versa.
Everyone who is funny is either generous or tall and vice versa.
If someone is not generous or old then someone is not old.
If someone is happy or not kind then someone is either creative or old and vice versa.
If alice is curiou... | Mary is not wise. | neutral | (![X]:((~humble(X)<~>~calm(X))<=>(~funny(X)<~>happy(X))))&
(![X]:(funny(X)<=>(generous(X)<~>tall(X))))&
((?[X]:((~generous(X)|old(X))))=>(?[X]:(~old(X))))&
((?[X]:((happy(X)|~kind(X))))<=>(?[X]:((creative(X)<~>old(X)))))&
((curious(alice))=>(?[X]:(~kind(X))))&
(((wise(lucy)&~humble(lucy)))<=>(?[X]:((~old(X)<~>calm(X)))... | ~wise(mary) | [] | null | 0 |
If john is not kind then someone is not calm or creative and vice versa.
If someone is not funny or not strong then someone is tall or kind and vice versa.
Everyone who is both kind and not funny is not strong and vice versa.
Everyone who is both not generous and strong is creative.
Everyone who is both not brave and r... | Paul is quiet. | contradiction | ((~kind(john))<=>(?[X]:((~calm(X)|creative(X)))))&
((?[X]:((~funny(X)|~strong(X))))<=>(?[X]:((tall(X)|kind(X)))))&
(![X]:((kind(X)&~funny(X))<=>~strong(X)))&
(![X]:((~generous(X)&strong(X))=>creative(X)))&
(![X]:((~brave(X)&rich(X))<=>(~rich(X)&old(X))))&
((?[X]:((patient(X)<~>~kind(X))))<=>(?[X]:((~old(X)|~brave(X))))... | quiet(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 535210625540613857141840
% SZS output start Proof for 535210625540613857141840
13. ! [X0] : ((~wise(X0) <~> wise(X0)) <=> ~quiet(X0)) [input p12]
24. quiet(paul) [input hypothesis]
67. ! [X0] : ((((~wise(X0) | wise(X0)) & (wise(X0) | ~wise(X0))) | quiet(X0)) & (~quiet(X0) | ((~wise(X0) | ... | 0 |
Everyone who is not brave or not patient is either curious or not patient. Everyone who is rich is both rich and not strong. Everyone who is not strong is not curious or not brave and vice versa. Everyone who is either not funny or old is both tall and patient. Everyone who is generous is not funny and vice versa. If s... | Lucy is patient. | neutral | (![X]:((~brave(X)|~patient(X))=>(curious(X)<~>~patient(X))))&
(![X]:(rich(X)=>(rich(X)&~strong(X))))&
(![X]:(~strong(X)<=>(~curious(X)|~brave(X))))&
(![X]:((~funny(X)<~>old(X))=>(tall(X)&patient(X))))&
(![X]:(generous(X)<=>~funny(X)))&
((?[X]:(~patient(X)))<=>(?[X]:(old(X))))&
(![X]:((~brave(X)&~kind(X))<=>(creative(X)... | patient(lucy) | [] | null | 0 |
If alice is patient then alice is tall or not brave and vice versa.
If susan is both not quiet and quiet then alice is both not quiet and strong and vice versa.
If alice is either not brave or not creative then susan is both not wise and not quiet.
If susan is generous or tall then mary is humble and vice versa.
Everyo... | Paul is not rich. | contradiction | ((patient(alice))<=>((tall(alice)|~brave(alice))))&
(((~quiet(susan)&quiet(susan)))<=>((~quiet(alice)&strong(alice))))&
(((~brave(alice)<~>~creative(alice)))=>((~wise(susan)&~quiet(susan))))&
(((generous(susan)|tall(susan)))<=>(humble(mary)))&
(![X]:((creative(X)|~creative(X))<=>(~calm(X)|~funny(X))))&
(![X]:(curious(X... | ~rich(paul) | [
"p5",
"p9",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2213897673511267960420610
% SZS output start Proof for 2213897673511267960420610
6. ! [X0] : (curious(X0) <=> (~quiet(X0) & ~strong(X0))) [input p5]
10. ! [X0] : ((rich(X0) & ~tall(X0)) <=> ~curious(X0)) [input p9]
21. quiet(paul) [input p20]
25. ~rich(paul) [input hypothesis]
42. ! [X0] ... | 0 |
Everyone who is both not calm and happy is happy or patient.
If susan is curious or not patient then someone is either tall or not tall and vice versa.
Everyone who is not happy or happy is not old.
If mary is generous then susan is creative and vice versa.
Everyone who is either old or not funny is patient or quiet an... | Mary is not kind. | contradiction | (![X]:((~calm(X)&happy(X))=>(happy(X)|patient(X))))&
(((curious(susan)|~patient(susan)))<=>(?[X]:((tall(X)<~>~tall(X)))))&
(![X]:((~happy(X)|happy(X))=>~old(X)))&
((generous(mary))<=>(creative(susan)))&
(![X]:((old(X)<~>~funny(X))<=>(patient(X)|quiet(X))))&
((?[X]:((~generous(X)&~patient(X))))=>((calm(paul)<~>rich(paul... | ~kind(mary) | [
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 565278138302448932638534
% SZS output start Proof for 565278138302448932638534
13. ! [X0] : ((~humble(X0) | creative(X0)) <=> (humble(X0) | kind(X0))) [input p12]
14. ! [X0] : ((brave(X0) & ~creative(X0)) <=> humble(X0)) [input p13]
23. ~kind(mary) [input hypothesis]
58. ! [X0] : (((~humb... | 0 |
If john is quiet then alice is not rich and vice versa. Everyone who is either old or tall is not funny or funny and vice versa. If fred is not old or not tall then alice is either tall or kind and vice versa. Everyone who is either strong or not brave is tall. Everyone who is both not curious and not humble is both no... | Paul is not happy. | neutral | ((quiet(john))<=>(~rich(alice)))&
(![X]:((old(X)<~>tall(X))<=>(~funny(X)|funny(X))))&
(((~old(fred)|~tall(fred)))<=>((tall(alice)<~>kind(alice))))&
(![X]:((strong(X)<~>~brave(X))=>tall(X)))&
(![X]:((~curious(X)&~humble(X))<=>(~creative(X)&rich(X))))&
(![X]:((~brave(X)|curious(X))<=>(strong(X)&~strong(X))))&
((?[X]:((~w... | ~happy(paul) | [] | null | 0 |
Everyone who is not brave is either brave or not kind. If someone is humble or wise then someone is either tall or brave and vice versa. If fred is not calm then someone is not humble or not funny and vice versa. Everyone who is both not brave and not rich is not old and vice versa. Everyone who is either quiet or stro... | Lucy is not wise. | contradiction | (![X]:(~brave(X)=>(brave(X)<~>~kind(X))))&
((?[X]:((humble(X)|wise(X))))<=>(?[X]:((tall(X)<~>brave(X)))))&
((~calm(fred))<=>(?[X]:((~humble(X)|~funny(X)))))&
(![X]:((~brave(X)&~rich(X))<=>~old(X)))&
(![X]:((quiet(X)<~>strong(X))<=>(~strong(X)|~humble(X))))&
(![X]:(~wise(X)<=>(funny(X)&old(X))))&
(![X]:((tall(X)<~>~tall... | ~wise(lucy) | [
"p3",
"p5",
"p6",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3352326322020584056847386
% SZS output start Proof for 3352326322020584056847386
4. ! [X0] : ((~rich(X0) & ~brave(X0)) <=> ~old(X0)) [input p3]
6. ! [X0] : (~wise(X0) <=> (old(X0) & funny(X0))) [input p5]
7. ! [X0] : ((tall(X0) <~> ~tall(X0)) => ~brave(X0)) [input p6]
13. ! [X0] : ((~crea... | 0 |
Everyone who is both not humble and generous is not patient and vice versa.
If someone is not creative then susan is both not brave and happy and vice versa.
Everyone who is both creative and not quiet is either not old or not tall and vice versa.
Everyone who is either not creative or not wise is either patient or tal... | Susan is humble. | contradiction | (![X]:((~humble(X)&generous(X))<=>~patient(X)))&
((?[X]:(~creative(X)))<=>((~brave(susan)&happy(susan))))&
(![X]:((creative(X)&~quiet(X))<=>(~old(X)<~>~tall(X))))&
(![X]:((~creative(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(((funny(alice)&~kind(alice)))<=>((~quiet(alice)|~strong(alice))))&
((?[X]:((~tall(X)&tall(X)))... | humble(susan) | [
"p0",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8392257770990150882590807
% SZS output start Proof for 8392257770990150882590807
1. ! [X0] : ((generous(X0) & ~humble(X0)) <=> ~patient(X0)) [input p0]
10. ! [X0] : (~tall(X0) <=> (~tall(X0) <~> patient(X0))) [input p9]
25. humble(susan) [input hypothesis]
36. ! [X0] : (((generous(X0) & ~... | 0 |
Everyone who is both tall and not happy is both not old and not happy and vice versa.
Everyone who is both generous and creative is either not curious or curious.
Everyone who is humble or wise is either not strong or creative and vice versa.
Everyone who is either not brave or quiet is not kind.
If someone is not funn... | Fred is not strong. | neutral | (![X]:((tall(X)&~happy(X))<=>(~old(X)&~happy(X))))&
(![X]:((generous(X)&creative(X))=>(~curious(X)<~>curious(X))))&
(![X]:((humble(X)|wise(X))<=>(~strong(X)<~>creative(X))))&
(![X]:((~brave(X)<~>quiet(X))=>~kind(X)))&
((?[X]:(~funny(X)))=>(kind(alice)))&
(![X]:((humble(X)&happy(X))=>(brave(X)<~>~creative(X))))&
(![X]:(... | ~strong(fred) | [] | null | 0 |
If john is curious then paul is rich or not strong and vice versa.
If someone is not brave then someone is either not humble or happy.
Everyone who is happy is wise and vice versa.
Everyone who is either not creative or old is both not rich and tall.
Everyone who is not kind is quiet or not old and vice versa.
If susan... | Fred is not quiet. | entailment | ((curious(john))<=>((rich(paul)|~strong(paul))))&
((?[X]:(~brave(X)))=>(?[X]:((~humble(X)<~>happy(X)))))&
(![X]:(happy(X)<=>wise(X)))&
(![X]:((~creative(X)<~>old(X))=>(~rich(X)&tall(X))))&
(![X]:(~kind(X)<=>(quiet(X)|~old(X))))&
(((~patient(susan)&~creative(susan)))<=>(old(john)))&
(![X]:((~wise(X)&wise(X))<=>(~funny(X... | ~quiet(fred) | [
"p4",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1132252194125313608565508
% SZS output start Proof for 1132252194125313608565508
5. ! [X0] : (~kind(X0) <=> (~old(X0) | quiet(X0))) [input p4]
11. ! [X0] : (~creative(X0) <=> kind(X0)) [input p10]
23. curious(fred) & ~creative(fred) [input p22]
24. quiet(fred) [input hypothesis]
41. ! [X0... | 0 |
Everyone who is both not tall and strong is kind or not humble and vice versa.
Everyone who is not strong is old or not curious.
If susan is both wise and quiet then mary is quiet or strong and vice versa.
Everyone who is strong or rich is either not wise or not kind and vice versa.
If lucy is either not wise or old th... | John is not wise. | contradiction | (![X]:((~tall(X)&strong(X))<=>(kind(X)|~humble(X))))&
(![X]:(~strong(X)=>(old(X)|~curious(X))))&
(((wise(susan)&quiet(susan)))<=>((quiet(mary)|strong(mary))))&
(![X]:((strong(X)|rich(X))<=>(~wise(X)<~>~kind(X))))&
(((~wise(lucy)<~>old(lucy)))=>((~brave(john)&generous(john))))&
(![X]:((~calm(X)|creative(X))<=>kind(X)))&... | ~wise(john) | [
"p0",
"p5",
"p6",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 87526284389140363613785
% SZS output start Proof for 87526284389140363613785
1. ! [X0] : ((strong(X0) & ~tall(X0)) <=> (~humble(X0) | kind(X0))) [input p0]
6. ! [X0] : ((creative(X0) | ~calm(X0)) <=> kind(X0)) [input p5]
7. ! [X0] : ((wise(X0) | ~curious(X0)) => (~creative(X0) & ~generous... | 0 |
Everyone who is either not patient or kind is either not generous or quiet.
If alice is not happy then someone is either curious or not brave and vice versa.
If someone is both old and not kind then someone is not curious or generous and vice versa.
If someone is either creative or quiet then someone is not old and vic... | Alice is not calm. | neutral | (![X]:((~patient(X)<~>kind(X))=>(~generous(X)<~>quiet(X))))&
((~happy(alice))<=>(?[X]:((curious(X)<~>~brave(X)))))&
((?[X]:((old(X)&~kind(X))))<=>(?[X]:((~curious(X)|generous(X)))))&
((?[X]:((creative(X)<~>quiet(X))))<=>(?[X]:(~old(X))))&
(![X]:(~wise(X)<=>(quiet(X)|~creative(X))))&
(![X]:(~patient(X)=>(~calm(X)<~>~qui... | ~calm(alice) | [] | null | 0 |
If alice is either tall or not rich then john is curious or not brave.
If someone is both not creative and strong then someone is either not old or not curious.
Everyone who is both funny and not old is both funny and not strong.
Everyone who is either not generous or not creative is not happy.
Everyone who is either b... | Lucy is not generous. | entailment | (((tall(alice)<~>~rich(alice)))=>((curious(john)|~brave(john))))&
((?[X]:((~creative(X)&strong(X))))=>(?[X]:((~old(X)<~>~curious(X)))))&
(![X]:((funny(X)&~old(X))=>(funny(X)&~strong(X))))&
(![X]:((~generous(X)<~>~creative(X))=>~happy(X)))&
(![X]:((brave(X)<~>happy(X))<=>(~curious(X)&brave(X))))&
(![X]:((generous(X)&~wi... | ~generous(lucy) | [
"p4",
"p5",
"p6",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 7782280213370574319338970
% SZS output start Proof for 7782280213370574319338970
5. ! [X0] : ((brave(X0) <~> happy(X0)) <=> (brave(X0) & ~curious(X0))) [input p4]
6. ! [X0] : ((~wise(X0) & generous(X0)) <=> ~calm(X0)) [input p5]
7. ? [X0] : ~happy(X0) <=> (~calm(john) & curious(john)) [in... | 0 |
Everyone who is both wise and not creative is both calm and not patient. Everyone who is not kind or calm is kind or rich. Everyone who is not old or not creative is either not humble or not tall and vice versa. Everyone who is not calm or kind is not kind or not strong and vice versa. If fred is old or not brave then ... | John is not calm. | entailment | (![X]:((wise(X)&~creative(X))=>(calm(X)&~patient(X))))&
(![X]:((~kind(X)|calm(X))=>(kind(X)|rich(X))))&
(![X]:((~old(X)|~creative(X))<=>(~humble(X)<~>~tall(X))))&
(![X]:((~calm(X)|kind(X))<=>(~kind(X)|~strong(X))))&
(((old(fred)|~brave(fred)))=>((~funny(lucy)|~brave(lucy))))&
(![X]:((funny(X)&~happy(X))=>(generous(X)<~... | ~calm(john) | [
"p7",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6091129082042940092243329
% SZS output start Proof for 6091129082042940092243329
8. ! [X0] : (humble(X0) => (~quiet(X0) & ~calm(X0))) [input p7]
20. ~happy(john) & humble(john) [input p19]
25. calm(john) [input hypothesis]
35. ! [X0] : ((~quiet(X0) & ~calm(X0)) | ~humble(X0)) [ennf transf... | 0 |
Everyone who is either not old or strong is not kind or wise and vice versa.
Everyone who is either not wise or not happy is both not tall and not funny.
If someone is rich then lucy is not calm.
Everyone who is rich or calm is both kind and funny.
Everyone who is brave or not wise is either rich or not happy.
If john ... | Susan is not curious. | entailment | (![X]:((~old(X)<~>strong(X))<=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)<~>~happy(X))=>(~tall(X)&~funny(X))))&
((?[X]:(rich(X)))=>(~calm(lucy)))&
(![X]:((rich(X)|calm(X))=>(kind(X)&funny(X))))&
(![X]:((brave(X)|~wise(X))=>(rich(X)<~>~happy(X))))&
((quiet(john))=>(generous(fred)))&
((?[X]:((creative(X)<~>~funny(X))))<=>(?[... | ~curious(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8135891728920968822793301
% SZS output start Proof for 8135891728920968822793301
15. ! [X0] : ((kind(X0) <~> curious(X0)) <=> kind(X0)) [input p14]
25. curious(susan) [input hypothesis]
56. ! [X0] : ((((~curious(X0) | ~kind(X0)) & (curious(X0) | kind(X0))) | ~kind(X0)) & (kind(X0) | ((kin... | 0 |
Everyone who is either brave or tall is not happy or calm and vice versa.
If john is either not creative or not calm then someone is both not creative and wise.
If someone is both not old and not strong then someone is kind and vice versa.
If someone is wise then someone is either not rich or patient.
If someone is not... | Susan is not brave. | entailment | (![X]:((brave(X)<~>tall(X))<=>(~happy(X)|calm(X))))&
(((~creative(john)<~>~calm(john)))=>(?[X]:((~creative(X)&wise(X)))))&
((?[X]:((~old(X)&~strong(X))))<=>(?[X]:(kind(X))))&
((?[X]:(wise(X)))=>(?[X]:((~rich(X)<~>patient(X)))))&
((?[X]:((~kind(X)|~curious(X))))=>(?[X]:((wise(X)|~brave(X)))))&
(![X]:((~brave(X)<~>old(X)... | ~brave(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 9161714932019387968923339
% SZS output start Proof for 9161714932019387968923339
10. ! [X0] : ((brave(X0) & ~creative(X0)) <=> (brave(X0) & creative(X0))) [input p9]
22. brave(susan) [input hypothesis]
62. ! [X0] : (((brave(X0) & ~creative(X0)) | (~brave(X0) | ~creative(X0))) & ((brave(X0... | 0 |
Everyone who is both not kind and not rich is funny and vice versa.
Everyone who is happy is not strong or tall and vice versa.
If lucy is not humble then john is either rich or not funny.
If paul is both not wise and not rich then someone is not happy or not curious.
Everyone who is old is not humble.
If mary is quiet... | Susan is kind. | contradiction | (![X]:((~kind(X)&~rich(X))<=>funny(X)))&
(![X]:(happy(X)<=>(~strong(X)|tall(X))))&
((~humble(lucy))=>((rich(john)<~>~funny(john))))&
(((~wise(paul)&~rich(paul)))=>(?[X]:((~happy(X)|~curious(X)))))&
(![X]:(old(X)=>~humble(X)))&
((quiet(mary))<=>(?[X]:((~creative(X)&~funny(X)))))&
(![X]:((~old(X)|brave(X))<=>(happy(X)&~r... | kind(susan) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7122549462167279141900183
% SZS output start Proof for 7122549462167279141900183
1. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> funny(X0)) [input p0]
10. ! [X0] : ((~funny(X0) | brave(X0)) <=> ~happy(X0)) [input p9]
14. (wise(susan) | ~happy(susan)) <=> (rich(lucy) & happy(lucy)) [input p13]
23... | 0 |
If someone is both not funny and not rich then susan is either quiet or strong and vice versa.
If someone is either not brave or humble then susan is both not kind and not old and vice versa.
Everyone who is quiet or not quiet is both generous and old.
If someone is both not generous and not tall then someone is either... | John is curious. | contradiction | ((?[X]:((~funny(X)&~rich(X))))<=>((quiet(susan)<~>strong(susan))))&
((?[X]:((~brave(X)<~>humble(X))))<=>((~kind(susan)&~old(susan))))&
(![X]:((quiet(X)|~quiet(X))=>(generous(X)&old(X))))&
((?[X]:((~generous(X)&~tall(X))))=>(?[X]:((~happy(X)<~>~curious(X)))))&
(((~funny(fred)&humble(fred)))<=>(?[X]:((~patient(X)<~>~funn... | curious(john) | [
"p1",
"p2",
"p5",
"p6",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5307473720263317479520876
% SZS output start Proof for 5307473720263317479520876
2. ? [X0] : (~brave(X0) <~> humble(X0)) <=> (~old(susan) & ~kind(susan)) [input p1]
3. ! [X0] : ((~quiet(X0) | quiet(X0)) => (old(X0) & generous(X0))) [input p2]
6. ! [X0] : ((funny(X0) & wise(X0)) => (~old(X... | 0 |
If fred is either generous or not creative then someone is both not happy and patient.
If alice is not kind then john is not patient.
If someone is both not tall and humble then john is both quiet and not quiet.
Everyone who is not calm is both calm and funny and vice versa.
If john is both not rich and happy then some... | Alice is patient. | neutral | (((generous(fred)<~>~creative(fred)))=>(?[X]:((~happy(X)&patient(X)))))&
((~kind(alice))=>(~patient(john)))&
((?[X]:((~tall(X)&humble(X))))=>((quiet(john)&~quiet(john))))&
(![X]:(~calm(X)<=>(calm(X)&funny(X))))&
(((~rich(john)&happy(john)))=>(?[X]:((~funny(X)|~happy(X)))))&
((?[X]:((~wise(X)<~>~patient(X))))<=>(generou... | patient(alice) | [] | null | 0 |
Everyone who is either not brave or quiet is not creative.
Everyone who is either not creative or kind is not happy or not patient and vice versa.
If mary is not quiet then someone is both not creative and creative and vice versa.
Everyone who is creative or not funny is both strong and wise.
If susan is tall or genero... | Lucy is not happy. | neutral | (![X]:((~brave(X)<~>quiet(X))=>~creative(X)))&
(![X]:((~creative(X)<~>kind(X))<=>(~happy(X)|~patient(X))))&
((~quiet(mary))<=>(?[X]:((~creative(X)&creative(X)))))&
(![X]:((creative(X)|~funny(X))=>(strong(X)&wise(X))))&
(((tall(susan)|generous(susan)))=>(?[X]:(quiet(X))))&
(![X]:((funny(X)&~brave(X))=>patient(X)))&
(((h... | ~happy(lucy) | [] | null | 0 |
Everyone who is both not humble and not brave is humble or not curious and vice versa.
If someone is not brave or wise then mary is both not tall and creative.
Everyone who is wise or humble is not strong.
Everyone who is either strong or rich is both not rich and not curious and vice versa.
If mary is both not calm an... | Lucy is quiet. | neutral | (![X]:((~humble(X)&~brave(X))<=>(humble(X)|~curious(X))))&
((?[X]:((~brave(X)|wise(X))))=>((~tall(mary)&creative(mary))))&
(![X]:((wise(X)|humble(X))=>~strong(X)))&
(![X]:((strong(X)<~>rich(X))<=>(~rich(X)&~curious(X))))&
(((~calm(mary)&creative(mary)))<=>((brave(susan)|curious(susan))))&
(![X]:((~tall(X)<~>generous(X)... | quiet(lucy) | [] | null | 0 |
Everyone who is both not funny and rich is calm or not tall and vice versa.
Everyone who is both old and not generous is either not funny or not quiet.
Everyone who is not old or not happy is not patient or rich and vice versa.
Everyone who is quiet is not generous.
Everyone who is humble or wise is either not happy or... | John is not calm. | entailment | (![X]:((~funny(X)&rich(X))<=>(calm(X)|~tall(X))))&
(![X]:((old(X)&~generous(X))=>(~funny(X)<~>~quiet(X))))&
(![X]:((~old(X)|~happy(X))<=>(~patient(X)|rich(X))))&
(![X]:(quiet(X)=>~generous(X)))&
(![X]:((humble(X)|wise(X))<=>(~happy(X)<~>~kind(X))))&
(![X]:((~calm(X)|quiet(X))<=>humble(X)))&
(![X]:(patient(X)=>(humble(X... | ~calm(john) | [
"p0",
"p2",
"p4",
"p5",
"p10",
"p11",
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6522374572694040716328396
% SZS output start Proof for 6522374572694040716328396
1. ! [X0] : ((rich(X0) & ~funny(X0)) <=> (~tall(X0) | calm(X0))) [input p0]
3. ! [X0] : ((~happy(X0) | ~old(X0)) <=> (rich(X0) | ~patient(X0))) [input p2]
5. ! [X0] : ((wise(X0) | humble(X0)) <=> (~happy(X0) ... | 0 |
Everyone who is both not funny and happy is old or not generous.
If john is either not calm or not happy then someone is not kind and vice versa.
If someone is either tall or generous then someone is not brave and vice versa.
If someone is not wise then alice is both not creative and quiet and vice versa.
Everyone who ... | Paul is brave. | contradiction | (![X]:((~funny(X)&happy(X))=>(old(X)|~generous(X))))&
(((~calm(john)<~>~happy(john)))<=>(?[X]:(~kind(X))))&
((?[X]:((tall(X)<~>generous(X))))<=>(?[X]:(~brave(X))))&
((?[X]:(~wise(X)))<=>((~creative(alice)&quiet(alice))))&
(![X]:(wise(X)=>(tall(X)&funny(X))))&
((patient(mary))=>((calm(paul)|humble(paul))))&
(![X]:(wise(... | brave(paul) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 4263105276841847461220583
% SZS output start Proof for 4263105276841847461220583
11. ! [X0] : ((funny(X0) | ~funny(X0)) => (~brave(X0) & quiet(X0))) [input p10]
24. brave(paul) [input hypothesis]
36. ! [X0] : ((~brave(X0) & quiet(X0)) | (~funny(X0) & funny(X0))) [ennf transformation 11]
1... | 0 |
If someone is creative then someone is not tall or not happy. Everyone who is not quiet is not quiet or not patient. Everyone who is funny or not happy is kind and vice versa. If someone is both not patient and not happy then lucy is either wise or not funny. Everyone who is both not strong and not funny is creative or... | Mary is not kind. | neutral | ((?[X]:(creative(X)))=>(?[X]:((~tall(X)|~happy(X)))))&
(![X]:(~quiet(X)=>(~quiet(X)|~patient(X))))&
(![X]:((funny(X)|~happy(X))<=>kind(X)))&
((?[X]:((~patient(X)&~happy(X))))=>((wise(lucy)<~>~funny(lucy))))&
(![X]:((~strong(X)&~funny(X))=>(creative(X)|humble(X))))&
(![X]:(calm(X)=>(quiet(X)&curious(X))))&
((~generous(l... | ~kind(mary) | [] | null | 0 |
If john is either not kind or creative then someone is either not old or tall and vice versa.
If mary is not funny then someone is either not brave or not creative and vice versa.
If someone is either not rich or not tall then alice is not old or not wise and vice versa.
Everyone who is not funny or old is creative or ... | Lucy is creative. | neutral | (((~kind(john)<~>creative(john)))<=>(?[X]:((~old(X)<~>tall(X)))))&
((~funny(mary))<=>(?[X]:((~brave(X)<~>~creative(X)))))&
((?[X]:((~rich(X)<~>~tall(X))))<=>((~old(alice)|~wise(alice))))&
(![X]:((~funny(X)|old(X))<=>(creative(X)|~funny(X))))&
(![X]:((~humble(X)&~wise(X))=>(~curious(X)|~brave(X))))&
(![X]:((happy(X)|cal... | creative(lucy) | [] | null | 0 |
Everyone who is not brave or creative is calm or not generous.
If someone is wise or not tall then paul is generous.
Everyone who is patient is not funny and vice versa.
Everyone who is either not rich or rich is not quiet or not generous and vice versa.
If someone is either not generous or calm then susan is either ge... | Susan is curious. | contradiction | (![X]:((~brave(X)|creative(X))=>(calm(X)|~generous(X))))&
((?[X]:((wise(X)|~tall(X))))=>(generous(paul)))&
(![X]:(patient(X)<=>~funny(X)))&
(![X]:((~rich(X)<~>rich(X))<=>(~quiet(X)|~generous(X))))&
((?[X]:((~generous(X)<~>calm(X))))<=>((generous(susan)<~>~tall(susan))))&
((?[X]:(~creative(X)))<=>((curious(paul)&humble(... | curious(susan) | [
"p4",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1957075468512381236854392
% SZS output start Proof for 1957075468512381236854392
5. ? [X0] : (~generous(X0) <~> calm(X0)) <=> (generous(susan) <~> ~tall(susan)) [input p4]
9. ! [X0] : (old(X0) => (happy(X0) & ~generous(X0))) [input p8]
10. ! [X0] : ((~kind(X0) & tall(X0)) <=> (~tall(X0) &... | 0 |
Everyone who is not quiet or not wise is either old or strong. Everyone who is either not happy or quiet is not happy. If someone is not patient then someone is both tall and brave. If someone is kind then paul is happy and vice versa. If someone is either strong or wise then john is happy or calm. Everyone who is wise... | John is funny. | contradiction | (![X]:((~quiet(X)|~wise(X))=>(old(X)<~>strong(X))))&
(![X]:((~happy(X)<~>quiet(X))=>~happy(X)))&
((?[X]:(~patient(X)))=>(?[X]:((tall(X)&brave(X)))))&
((?[X]:(kind(X)))<=>(happy(paul)))&
((?[X]:((strong(X)<~>wise(X))))=>((happy(john)|calm(john))))&
(![X]:(wise(X)=>(curious(X)|~quiet(X))))&
(![X]:((~old(X)<~>patient(X))<... | funny(john) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3660846248688460460543733
% SZS output start Proof for 3660846248688460460543733
7. ! [X0] : ((~old(X0) <~> patient(X0)) <=> (funny(X0) <~> patient(X0))) [input p6]
16. ! [X0] : ((old(X0) | ~old(X0)) <=> (~funny(X0) & brave(X0))) [input p15]
25. funny(john) [input hypothesis]
48. ! [X0] :... | 0 |
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