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 either not quiet or old is not rich and vice versa. Everyone who is not calm is not tall or creative and vice versa. If john is both not brave and generous then someone is tall. Everyone who is rich is either not kind or wise and vice versa. Everyone who is both not humble and not wise is either not qui... | Susan is strong. | contradiction | (![X]:((~quiet(X)<~>old(X))<=>~rich(X)))&
(![X]:(~calm(X)<=>(~tall(X)|creative(X))))&
(((~brave(john)&generous(john)))=>(?[X]:(tall(X))))&
(![X]:(rich(X)<=>(~kind(X)<~>wise(X))))&
(![X]:((~humble(X)&~wise(X))=>(~quiet(X)<~>calm(X))))&
(((humble(john)<~>brave(john)))<=>(?[X]:(~calm(X))))&
(![X]:((~wise(X)<~>curious(X))<... | strong(susan) | [
"p0",
"p3",
"p6",
"p9",
"p12",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5597644353047301703222091
% SZS output start Proof for 5597644353047301703222091
1. ! [X0] : ((~quiet(X0) <~> old(X0)) <=> ~rich(X0)) [input p0]
4. ! [X0] : (rich(X0) <=> (~kind(X0) <~> wise(X0))) [input p3]
7. ! [X0] : ((~wise(X0) <~> curious(X0)) <=> (~funny(X0) | kind(X0))) [input p6]
... | 0 |
If someone is both rich and happy then someone is tall.
Everyone who is not brave is either not tall or old and vice versa.
If lucy is tall or not strong then lucy is either brave or not curious.
If someone is not rich or not curious then someone is both not brave and not humble.
Everyone who is funny is not rich or wi... | Alice is funny. | entailment | ((?[X]:((rich(X)&happy(X))))=>(?[X]:(tall(X))))&
(![X]:(~brave(X)<=>(~tall(X)<~>old(X))))&
(((tall(lucy)|~strong(lucy)))=>((brave(lucy)<~>~curious(lucy))))&
((?[X]:((~rich(X)|~curious(X))))=>(?[X]:((~brave(X)&~humble(X)))))&
(![X]:(funny(X)<=>(~rich(X)|wise(X))))&
(![X]:((~brave(X)|creative(X))=>patient(X)))&
(![X]:((f... | funny(alice) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7786294197779451848112146
% SZS output start Proof for 7786294197779451848112146
5. ! [X0] : (funny(X0) <=> (wise(X0) | ~rich(X0))) [input p4]
10. ! [X0] : ((calm(X0) & funny(X0)) <=> (~wise(X0) | rich(X0))) [input p9]
24. ~funny(alice) [input hypothesis]
47. ! [X0] : ((funny(X0) | (~wise... | 0 |
If mary is not generous then someone is not funny.
Everyone who is tall is either not patient or not kind.
If someone is either not funny or not tall then someone is both happy and not kind.
Everyone who is not kind or old is not calm.
If someone is either not strong or creative then fred is not kind.
Everyone who is n... | Mary is not quiet. | contradiction | ((~generous(mary))=>(?[X]:(~funny(X))))&
(![X]:(tall(X)=>(~patient(X)<~>~kind(X))))&
((?[X]:((~funny(X)<~>~tall(X))))=>(?[X]:((happy(X)&~kind(X)))))&
(![X]:((~kind(X)|old(X))=>~calm(X)))&
((?[X]:((~strong(X)<~>creative(X))))=>(~kind(fred)))&
(![X]:((~creative(X)|~brave(X))<=>(creative(X)<~>calm(X))))&
(![X]:((old(X)|ge... | ~quiet(mary) | [
"p3",
"p5",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 9012423505597702017350651
% SZS output start Proof for 9012423505597702017350651
4. ! [X0] : ((old(X0) | ~kind(X0)) => ~calm(X0)) [input p3]
6. ! [X0] : ((~brave(X0) | ~creative(X0)) <=> (creative(X0) <~> calm(X0))) [input p5]
13. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> ~quiet(X0)) [inp... | 0 |
Everyone who is both not wise and not funny is either not creative or not rich.
If alice is either brave or not creative then someone is both happy and old and vice versa.
If lucy is not calm or curious then someone is either rich or humble.
Everyone who is both generous and not generous is tall or creative and vice ve... | Lucy is tall. | contradiction | (![X]:((~wise(X)&~funny(X))=>(~creative(X)<~>~rich(X))))&
(((brave(alice)<~>~creative(alice)))<=>(?[X]:((happy(X)&old(X)))))&
(((~calm(lucy)|curious(lucy)))=>(?[X]:((rich(X)<~>humble(X)))))&
(![X]:((generous(X)&~generous(X))<=>(tall(X)|creative(X))))&
((?[X]:((~funny(X)<~>~rich(X))))=>(?[X]:(~strong(X))))&
(((~happy(fr... | tall(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 2894501098267915621798527
% SZS output start Proof for 2894501098267915621798527
4. ! [X0] : ((~generous(X0) & generous(X0)) <=> (creative(X0) | tall(X0))) [input p3]
25. tall(lucy) [input hypothesis]
45. ! [X0] : (((~generous(X0) & generous(X0)) | (~creative(X0) & ~tall(X0))) & ((creativ... | 0 |
Everyone who is either not brave or not wise is both happy and not patient and vice versa. Everyone who is not happy or not tall is both rich and not strong and vice versa. If someone is both kind and not brave then someone is not funny or old and vice versa. Everyone who is not generous or not happy is both happy and ... | John is funny. | entailment | (![X]:((~brave(X)<~>~wise(X))<=>(happy(X)&~patient(X))))&
(![X]:((~happy(X)|~tall(X))<=>(rich(X)&~strong(X))))&
((?[X]:((kind(X)&~brave(X))))<=>(?[X]:((~funny(X)|old(X)))))&
(![X]:((~generous(X)|~happy(X))=>(happy(X)&~rich(X))))&
(![X]:((~strong(X)&old(X))=>(brave(X)|patient(X))))&
(((rich(alice)<~>old(alice)))<=>((pat... | funny(john) | [
"p0",
"p2",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 668698167716387461604571
% SZS output start Proof for 668698167716387461604571
1. ! [X0] : ((~brave(X0) <~> ~wise(X0)) <=> (~patient(X0) & happy(X0))) [input p0]
3. ? [X0] : (~brave(X0) & kind(X0)) <=> ? [X0] : (old(X0) | ~funny(X0)) [input p2]
8. ! [X0] : ((~patient(X0) <~> humble(X0)) <... | 0 |
If someone is old then mary is both not tall and strong.
Everyone who is either wise or humble is both patient and creative and vice versa.
If someone is either humble or brave then mary is not patient or generous.
Everyone who is not generous or not creative is not rich.
If someone is either not rich or curious then s... | Mary is not tall. | entailment | ((?[X]:(old(X)))=>((~tall(mary)&strong(mary))))&
(![X]:((wise(X)<~>humble(X))<=>(patient(X)&creative(X))))&
((?[X]:((humble(X)<~>brave(X))))=>((~patient(mary)|generous(mary))))&
(![X]:((~generous(X)|~creative(X))=>~rich(X)))&
((?[X]:((~rich(X)<~>curious(X))))<=>(?[X]:((curious(X)<~>~patient(X)))))&
((?[X]:((~strong(X)&... | ~tall(mary) | [
"p0",
"p7",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 857124390129891502050728
% SZS output start Proof for 857124390129891502050728
1. ? [X0] : old(X0) => (strong(mary) & ~tall(mary)) [input p0]
8. ? [X0] : creative(X0) => ? [X0] : (~brave(X0) & brave(X0)) [input p7]
12. ? [X0] : (~patient(X0) | old(X0)) => ? [X0] : (~old(X0) <~> ~creative(... | 0 |
Everyone who is both not patient and not tall is tall or not funny.
If someone is happy then alice is both wise and not wise.
Everyone who is both not brave and rich is both not rich and kind and vice versa.
Everyone who is either not quiet or tall is either not funny or not patient.
If john is both not old and old the... | John is funny. | contradiction | (![X]:((~patient(X)&~tall(X))=>(tall(X)|~funny(X))))&
((?[X]:(happy(X)))=>((wise(alice)&~wise(alice))))&
(![X]:((~brave(X)&rich(X))<=>(~rich(X)&kind(X))))&
(![X]:((~quiet(X)<~>tall(X))=>(~funny(X)<~>~patient(X))))&
(((~old(john)&old(john)))=>(?[X]:((old(X)&funny(X)))))&
(![X]:((~wise(X)|tall(X))=>~wise(X)))&
(((~strong... | funny(john) | [
"p1",
"p9",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2480348999573928417511255
% SZS output start Proof for 2480348999573928417511255
2. ? [X0] : happy(X0) => (~wise(alice) & wise(alice)) [input p1]
10. ! [X0] : (calm(X0) => (~curious(X0) & tall(X0))) [input p9]
12. ! [X0] : ((creative(X0) <~> calm(X0)) => (happy(X0) | ~creative(X0))) [inpu... | 0 |
If john is not brave then john is not kind or happy and vice versa.
Everyone who is kind or not tall is not strong or funny and vice versa.
Everyone who is both humble and not kind is kind and vice versa.
Everyone who is patient is creative or not generous.
Everyone who is brave or old is either not brave or not rich a... | John is not quiet. | neutral | ((~brave(john))<=>((~kind(john)|happy(john))))&
(![X]:((kind(X)|~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=>(~funny(X)&~old(X))))&
(![X]:(~quiet(X)=>(~patient(X)|~kin... | ~quiet(john) | [] | null | 0 |
If someone is wise or kind then mary is both not tall and generous and vice versa.
Everyone who is patient or not old is not humble or not brave.
If mary is brave then paul is either not rich or not wise and vice versa.
If mary is both generous and not old then someone is both calm and quiet.
Everyone who is quiet is b... | Susan is not curious. | neutral | ((?[X]:((wise(X)|kind(X))))<=>((~tall(mary)&generous(mary))))&
(![X]:((patient(X)|~old(X))=>(~humble(X)|~brave(X))))&
((brave(mary))<=>((~rich(paul)<~>~wise(paul))))&
(((generous(mary)&~old(mary)))=>(?[X]:((calm(X)&quiet(X)))))&
(![X]:(quiet(X)<=>(brave(X)|humble(X))))&
(![X]:(~rich(X)<=>kind(X)))&
(![X]:((strong(X)&qu... | ~curious(susan) | [] | null | 0 |
Everyone who is both strong and not rich is not calm or not brave.
If mary is not generous then someone is both kind and brave and vice versa.
Everyone who is tall is creative or kind.
Everyone who is both not happy and brave is either brave or curious and vice versa.
If john is either rich or not tall then mary is eit... | Lucy is not strong. | neutral | (![X]:((strong(X)&~rich(X))=>(~calm(X)|~brave(X))))&
((~generous(mary))<=>(?[X]:((kind(X)&brave(X)))))&
(![X]:(tall(X)=>(creative(X)|kind(X))))&
(![X]:((~happy(X)&brave(X))<=>(brave(X)<~>curious(X))))&
(((rich(john)<~>~tall(john)))=>((generous(mary)<~>creative(mary))))&
((rich(paul))<=>(?[X]:((~tall(X)&wise(X)))))&
(![... | ~strong(lucy) | [] | null | 0 |
If lucy is not brave then mary is either not tall or creative and vice versa.
Everyone who is kind is both not tall and not brave and vice versa.
If someone is either not quiet or tall then someone is both not creative and patient and vice versa.
If someone is both not quiet and patient then someone is both not patient... | Fred is funny. | contradiction | ((~brave(lucy))<=>((~tall(mary)<~>creative(mary))))&
(![X]:(kind(X)<=>(~tall(X)&~brave(X))))&
((?[X]:((~quiet(X)<~>tall(X))))<=>(?[X]:((~creative(X)&patient(X)))))&
((?[X]:((~quiet(X)&patient(X))))=>(?[X]:((~patient(X)&~brave(X)))))&
(![X]:(~happy(X)<=>(~brave(X)|happy(X))))&
((?[X]:((~curious(X)&~calm(X))))=>((wise(su... | funny(fred) | [
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1897226028281030873317018
% SZS output start Proof for 1897226028281030873317018
16. ! [X0] : ((funny(X0) | rich(X0)) <=> (~curious(X0) & rich(X0))) [input p15]
21. ~rich(fred) [input p20]
24. funny(fred) [input hypothesis]
73. ! [X0] : (((funny(X0) | rich(X0)) | (curious(X0) | ~rich(X0))... | 0 |
If someone is not funny then lucy is either not calm or generous and vice versa.
Everyone who is not brave or humble is old or wise and vice versa.
If someone is either not happy or tall then someone is both not curious and patient.
If someone is not patient then alice is rich and vice versa.
Everyone who is not patien... | Mary is not strong. | neutral | ((?[X]:(~funny(X)))<=>((~calm(lucy)<~>generous(lucy))))&
(![X]:((~brave(X)|humble(X))<=>(old(X)|wise(X))))&
((?[X]:((~happy(X)<~>tall(X))))=>(?[X]:((~curious(X)&patient(X)))))&
((?[X]:(~patient(X)))<=>(rich(alice)))&
(![X]:((~patient(X)|~calm(X))<=>(~curious(X)&wise(X))))&
((?[X]:((~old(X)&quiet(X))))<=>((patient(mary)... | ~strong(mary) | [] | null | 0 |
If someone is funny then someone is either not creative or not tall and vice versa.
Everyone who is either not strong or not rich is both not funny and happy.
Everyone who is either not funny or not tall is humble.
Everyone who is not quiet or not funny is both humble and not quiet and vice versa.
If someone is not qui... | Lucy is not patient. | entailment | ((?[X]:(funny(X)))<=>(?[X]:((~creative(X)<~>~tall(X)))))&
(![X]:((~strong(X)<~>~rich(X))=>(~funny(X)&happy(X))))&
(![X]:((~funny(X)<~>~tall(X))=>humble(X)))&
(![X]:((~quiet(X)|~funny(X))<=>(humble(X)&~quiet(X))))&
((?[X]:(~quiet(X)))<=>(~kind(paul)))&
(((quiet(john)<~>~tall(john)))<=>(?[X]:(~quiet(X))))&
((?[X]:((~curi... | ~patient(lucy) | [
"p1",
"p3",
"p4",
"p7",
"p8",
"p10",
"p13",
"p14",
"p15",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4883017670480893201410412
% SZS output start Proof for 4883017670480893201410412
2. ! [X0] : ((~strong(X0) <~> ~rich(X0)) => (happy(X0) & ~funny(X0))) [input p1]
4. ! [X0] : ((~funny(X0) | ~quiet(X0)) <=> (~quiet(X0) & humble(X0))) [input p3]
5. ? [X0] : ~quiet(X0) <=> ~kind(paul) [input ... | 0 |
Everyone who is either not happy or creative is both wise and happy.
Everyone who is either creative or generous is either not brave or tall.
If susan is not tall or not generous then fred is either not patient or not old and vice versa.
If someone is both not tall and quiet then someone is either not quiet or kind and... | Mary is not calm. | neutral | (![X]:((~happy(X)<~>creative(X))=>(wise(X)&happy(X))))&
(![X]:((creative(X)<~>generous(X))=>(~brave(X)<~>tall(X))))&
(((~tall(susan)|~generous(susan)))<=>((~patient(fred)<~>~old(fred))))&
((?[X]:((~tall(X)&quiet(X))))<=>(?[X]:((~quiet(X)<~>kind(X)))))&
(((~tall(alice)|tall(alice)))=>((kind(susan)|calm(susan))))&
(![X]:... | ~calm(mary) | [] | null | 0 |
If someone is both creative and generous then someone is not kind or not creative.
Everyone who is not old or not strong is both kind and old and vice versa.
Everyone who is quiet or not curious is both brave and not wise.
Everyone who is both happy and kind is calm and vice versa.
Everyone who is not generous or calm ... | Alice is not kind. | entailment | ((?[X]:((creative(X)&generous(X))))=>(?[X]:((~kind(X)|~creative(X)))))&
(![X]:((~old(X)|~strong(X))<=>(kind(X)&old(X))))&
(![X]:((quiet(X)|~curious(X))=>(brave(X)&~wise(X))))&
(![X]:((happy(X)&kind(X))<=>calm(X)))&
(![X]:((~generous(X)|calm(X))<=>(~happy(X)<~>~old(X))))&
(![X]:((happy(X)&~kind(X))=>(humble(X)&~calm(X))... | ~kind(alice) | [
"p1",
"p3",
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 4631909625577192470315238
% SZS output start Proof for 4631909625577192470315238
2. ! [X0] : ((~strong(X0) | ~old(X0)) <=> (old(X0) & kind(X0))) [input p1]
4. ! [X0] : ((kind(X0) & happy(X0)) <=> calm(X0)) [input p3]
5. ! [X0] : ((calm(X0) | ~generous(X0)) <=> (~happy(X0) <~> ~old(X0))) [... | 0 |
Everyone who is both not wise and not kind is creative and vice versa.
If susan is not creative then someone is brave.
Everyone who is both quiet and not quiet is quiet and vice versa.
Everyone who is not patient is either not tall or not funny.
If someone is both strong and not strong then lucy is both rich and patien... | John is not quiet. | entailment | (![X]:((~wise(X)&~kind(X))<=>creative(X)))&
((~creative(susan))=>(?[X]:(brave(X))))&
(![X]:((quiet(X)&~quiet(X))<=>quiet(X)))&
(![X]:(~patient(X)=>(~tall(X)<~>~funny(X))))&
((?[X]:((strong(X)&~strong(X))))=>((rich(lucy)&patient(lucy))))&
((?[X]:((patient(X)|~funny(X))))=>(?[X]:((~kind(X)&quiet(X)))))&
((~brave(paul))<=... | ~quiet(john) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 502753640084033827188114
% SZS output start Proof for 502753640084033827188114
3. ! [X0] : ((~quiet(X0) & quiet(X0)) <=> quiet(X0)) [input p2]
25. quiet(john) [input hypothesis]
44. ! [X0] : (((~quiet(X0) & quiet(X0)) | ~quiet(X0)) & (quiet(X0) | (quiet(X0) | ~quiet(X0)))) [nnf transforma... | 0 |
Everyone who is not creative or not tall is old. If someone is either curious or not old then lucy is both creative and brave and vice versa. Everyone who is wise is not rich or curious. Everyone who is old or not happy is both tall and not patient. Everyone who is funny or old is wise or not rich. Everyone who is both... | Fred is kind. | contradiction | (![X]:((~creative(X)|~tall(X))=>old(X)))&
((?[X]:((curious(X)<~>~old(X))))<=>((creative(lucy)&brave(lucy))))&
(![X]:(wise(X)=>(~rich(X)|curious(X))))&
(![X]:((old(X)|~happy(X))=>(tall(X)&~patient(X))))&
(![X]:((funny(X)|old(X))=>(wise(X)|~rich(X))))&
(![X]:((~old(X)&~strong(X))<=>(~creative(X)&quiet(X))))&
(![X]:(calm(... | kind(fred) | [
"p0",
"p3",
"p4",
"p5",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4396442541195685561340722
% SZS output start Proof for 4396442541195685561340722
1. ! [X0] : ((~tall(X0) | ~creative(X0)) => old(X0)) [input p0]
4. ! [X0] : ((~happy(X0) | old(X0)) => (~patient(X0) & tall(X0))) [input p3]
5. ! [X0] : ((old(X0) | funny(X0)) => (~rich(X0) | wise(X0))) [inpu... | 0 |
Everyone who is either humble or not generous is both creative and not generous.
If someone is not funny then someone is both not generous and tall and vice versa.
Everyone who is not curious is brave or funny.
If alice is rich or not humble then someone is brave or not rich and vice versa.
If john is both wise and not... | John is creative. | contradiction | (![X]:((humble(X)<~>~generous(X))=>(creative(X)&~generous(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((~generous(X)&tall(X)))))&
(![X]:(~curious(X)=>(brave(X)|funny(X))))&
(((rich(alice)|~humble(alice)))<=>(?[X]:((brave(X)|~rich(X)))))&
(((wise(john)&~funny(john)))<=>((quiet(john)<~>~rich(john))))&
(![X]:(curious(X)<=>(~creati... | creative(john) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7077185298418657050446220
% SZS output start Proof for 7077185298418657050446220
6. ! [X0] : (curious(X0) <=> (~curious(X0) | ~creative(X0))) [input p5]
24. creative(john) [input hypothesis]
48. ! [X0] : ((curious(X0) | (curious(X0) & creative(X0))) & ((~curious(X0) | ~creative(X0)) | ~cu... | 0 |
If someone is rich then lucy is either not kind or not humble and vice versa.
Everyone who is not quiet is rich or curious and vice versa.
If someone is generous then someone is either wise or rich and vice versa.
If someone is wise then paul is both not strong and kind and vice versa.
Everyone who is happy is either n... | Susan is not wise. | entailment | ((?[X]:(rich(X)))<=>((~kind(lucy)<~>~humble(lucy))))&
(![X]:(~quiet(X)<=>(rich(X)|curious(X))))&
((?[X]:(generous(X)))<=>(?[X]:((wise(X)<~>rich(X)))))&
((?[X]:(wise(X)))<=>((~strong(paul)&kind(paul))))&
(![X]:(happy(X)=>(~rich(X)<~>creative(X))))&
(((~generous(mary)&brave(mary)))=>((calm(paul)<~>happy(paul))))&
(![X]:(... | ~wise(susan) | [
"p1",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5261354341826149208505229
% SZS output start Proof for 5261354341826149208505229
2. ! [X0] : (~quiet(X0) <=> (curious(X0) | rich(X0))) [input p1]
4. ? [X0] : wise(X0) <=> (kind(paul) & ~strong(paul)) [input p3]
7. ! [X0] : ((rich(X0) | ~generous(X0)) <=> (~patient(X0) <~> patient(X0))) [i... | 0 |
If paul is not creative then mary is quiet or wise.
Everyone who is either happy or quiet is both not creative and not brave and vice versa.
Everyone who is either not old or humble is both not calm and not brave.
If lucy is not curious or wise then someone is both not funny and wise.
If someone is either tall or brave... | Fred is not humble. | entailment | ((~creative(paul))=>((quiet(mary)|wise(mary))))&
(![X]:((happy(X)<~>quiet(X))<=>(~creative(X)&~brave(X))))&
(![X]:((~old(X)<~>humble(X))=>(~calm(X)&~brave(X))))&
(((~curious(lucy)|wise(lucy)))=>(?[X]:((~funny(X)&wise(X)))))&
((?[X]:((tall(X)<~>brave(X))))=>(patient(john)))&
(![X]:((~happy(X)<~>~quiet(X))<=>(rich(X)|~ri... | ~humble(fred) | [
"p1",
"p2",
"p5",
"p7",
"p9",
"p10",
"p12",
"p13",
"p14",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 3262702029384514547400155
% SZS output start Proof for 3262702029384514547400155
2. ! [X0] : ((happy(X0) <~> quiet(X0)) <=> (~brave(X0) & ~creative(X0))) [input p1]
3. ! [X0] : ((~old(X0) <~> humble(X0)) => (~brave(X0) & ~calm(X0))) [input p2]
6. ! [X0] : ((~happy(X0) <~> ~quiet(X0)) <=> ... | 0 |
If someone is either old or funny then susan is either not rich or humble and vice versa. Everyone who is both rich and creative is not patient. If alice is both not quiet and not tall then someone is kind. If mary is wise or brave then paul is not brave. Everyone who is both kind and not tall is either not wise or hum... | Susan is curious. | entailment | ((?[X]:((old(X)<~>funny(X))))<=>((~rich(susan)<~>humble(susan))))&
(![X]:((rich(X)&creative(X))=>~patient(X)))&
(((~quiet(alice)&~tall(alice)))=>(?[X]:(kind(X))))&
(((wise(mary)|brave(mary)))=>(~brave(paul)))&
(![X]:((kind(X)&~tall(X))<=>(~wise(X)<~>humble(X))))&
(![X]:((~calm(X)&old(X))<=>(old(X)|curious(X))))&
(![X]:... | curious(susan) | [
"p1",
"p5",
"p6",
"p9",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1809537521696844025956226
% SZS output start Proof for 1809537521696844025956226
2. ! [X0] : ((creative(X0) & rich(X0)) => ~patient(X0)) [input p1]
6. ! [X0] : ((old(X0) & ~calm(X0)) <=> (curious(X0) | old(X0))) [input p5]
7. ! [X0] : ((creative(X0) & ~old(X0)) <=> (kind(X0) & ~curious(X0... | 0 |
If someone is both not brave and not quiet then someone is not generous or not wise.
If someone is both kind and not happy then alice is not happy or quiet and vice versa.
Everyone who is both calm and strong is not patient or humble.
Everyone who is both humble and not strong is both not humble and not wise and vice v... | Alice is not old. | neutral | ((?[X]:((~brave(X)&~quiet(X))))=>(?[X]:((~generous(X)|~wise(X)))))&
((?[X]:((kind(X)&~happy(X))))<=>((~happy(alice)|quiet(alice))))&
(![X]:((calm(X)&strong(X))=>(~patient(X)|humble(X))))&
(![X]:((humble(X)&~strong(X))<=>(~humble(X)&~wise(X))))&
((?[X]:((humble(X)|~quiet(X))))<=>(?[X]:((~curious(X)&~quiet(X)))))&
((?[X]... | ~old(alice) | [] | null | 0 |
Everyone who is both funny and old is not generous. Everyone who is either kind or happy is either not happy or happy and vice versa. If fred is both not old and creative then paul is both patient and not happy. Everyone who is either not rich or not old is both funny and not strong and vice versa. If someone is genero... | Fred is not generous. | contradiction | (![X]:((funny(X)&old(X))=>~generous(X)))&
(![X]:((kind(X)<~>happy(X))<=>(~happy(X)<~>happy(X))))&
(((~old(fred)&creative(fred)))=>((patient(paul)&~happy(paul))))&
(![X]:((~rich(X)<~>~old(X))<=>(funny(X)&~strong(X))))&
((?[X]:(generous(X)))=>(?[X]:(calm(X))))&
(![X]:((generous(X)&creative(X))<=>(happy(X)|kind(X))))&
(![... | ~generous(fred) | [
"p1",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2701657214028743517897008
% SZS output start Proof for 2701657214028743517897008
2. ! [X0] : ((kind(X0) <~> happy(X0)) <=> (~happy(X0) <~> happy(X0))) [input p1]
6. ! [X0] : ((creative(X0) & generous(X0)) <=> (kind(X0) | happy(X0))) [input p5]
24. ~generous(fred) [input hypothesis]
37. ! ... | 0 |
If someone is not patient or not tall then alice is either not patient or not wise. Everyone who is either wise or creative is either not rich or not funny and vice versa. Everyone who is not curious is both calm and not wise. Everyone who is not funny is patient or not wise and vice versa. If someone is happy or brave... | Paul is not creative. | neutral | ((?[X]:((~patient(X)|~tall(X))))=>((~patient(alice)<~>~wise(alice))))&
(![X]:((wise(X)<~>creative(X))<=>(~rich(X)<~>~funny(X))))&
(![X]:(~curious(X)=>(calm(X)&~wise(X))))&
(![X]:(~funny(X)<=>(patient(X)|~wise(X))))&
((?[X]:((happy(X)|brave(X))))=>((~calm(john)<~>rich(john))))&
(![X]:(funny(X)<=>(wise(X)<~>~patient(X)))... | ~creative(paul) | [] | null | 0 |
Everyone who is wise is strong or not patient. Everyone who is rich is old. If susan is both generous and not generous then susan is either curious or not funny and vice versa. Everyone who is happy or not rich is happy or kind. Everyone who is both not creative and not patient is not brave or not curious and vice vers... | John is not kind. | neutral | (![X]:(wise(X)=>(strong(X)|~patient(X))))&
(![X]:(rich(X)=>old(X)))&
(((generous(susan)&~generous(susan)))<=>((curious(susan)<~>~funny(susan))))&
(![X]:((happy(X)|~rich(X))=>(happy(X)|kind(X))))&
(![X]:((~creative(X)&~patient(X))<=>(~brave(X)|~curious(X))))&
(![X]:(~rich(X)=>old(X)))&
(![X]:((~creative(X)<~>creative(X)... | ~kind(john) | [] | null | 0 |
If mary is calm then someone is not quiet.
If someone is either wise or not happy then someone is either not humble or not quiet.
If someone is either old or creative then someone is quiet.
Everyone who is either not humble or patient is either tall or creative and vice versa.
Everyone who is humble or brave is not tal... | John is not calm. | contradiction | ((calm(mary))=>(?[X]:(~quiet(X))))&
((?[X]:((wise(X)<~>~happy(X))))=>(?[X]:((~humble(X)<~>~quiet(X)))))&
((?[X]:((old(X)<~>creative(X))))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)<~>patient(X))<=>(tall(X)<~>creative(X))))&
(![X]:((humble(X)|brave(X))=>(~tall(X)|~humble(X))))&
(![X]:((~humble(X)<~>~strong(X))<=>(patient(X... | ~calm(john) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3816435023781827333243206
% SZS output start Proof for 3816435023781827333243206
8. ! [X0] : ((~strong(X0) | ~calm(X0)) <=> (strong(X0) & ~strong(X0))) [input p7]
24. ~calm(john) [input hypothesis]
48. ! [X0] : (((~strong(X0) | ~calm(X0)) | (~strong(X0) | strong(X0))) & ((strong(X0) & ~st... | 0 |
Everyone who is not creative or not funny is either not happy or humble and vice versa.
Everyone who is either wise or not patient is both rich and not quiet and vice versa.
Everyone who is kind or not humble is both not kind and not happy and vice versa.
Everyone who is not rich is either not calm or generous and vice... | John is not calm. | contradiction | (![X]:((~creative(X)|~funny(X))<=>(~happy(X)<~>humble(X))))&
(![X]:((wise(X)<~>~patient(X))<=>(rich(X)&~quiet(X))))&
(![X]:((kind(X)|~humble(X))<=>(~kind(X)&~happy(X))))&
(![X]:(~rich(X)<=>(~calm(X)<~>generous(X))))&
(![X]:((~wise(X)&~humble(X))<=>~kind(X)))&
(((~brave(mary)|calm(mary)))=>(?[X]:((~tall(X)&~generous(X))... | ~calm(john) | [
"p2",
"p4",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4859699046576467187385405
% SZS output start Proof for 4859699046576467187385405
3. ! [X0] : ((~humble(X0) | kind(X0)) <=> (~happy(X0) & ~kind(X0))) [input p2]
5. ! [X0] : ((~humble(X0) & ~wise(X0)) <=> ~kind(X0)) [input p4]
22. calm(john) | happy(john) [input p21]
25. ~calm(john) [input ... | 0 |
Everyone who is strong is either not kind or not generous. Everyone who is not creative or patient is funny or tall. If fred is either not strong or patient then someone is either not quiet or not creative and vice versa. If alice is wise then alice is curious and vice versa. Everyone who is not strong or generous is n... | Lucy is funny. | neutral | (![X]:(strong(X)=>(~kind(X)<~>~generous(X))))&
(![X]:((~creative(X)|patient(X))=>(funny(X)|tall(X))))&
(((~strong(fred)<~>patient(fred)))<=>(?[X]:((~quiet(X)<~>~creative(X)))))&
((wise(alice))<=>(curious(alice)))&
(![X]:((~strong(X)|generous(X))<=>~patient(X)))&
((?[X]:((~rich(X)|curious(X))))<=>(?[X]:((creative(X)|qui... | funny(lucy) | [] | null | 0 |
Everyone who is both creative and not old is both curious and wise.
Everyone who is both old and humble is not calm or kind and vice versa.
Everyone who is not curious or not creative is not brave or happy.
If someone is either patient or wise then someone is either not kind or kind and vice versa.
If alice is not old ... | Mary is not patient. | contradiction | (![X]:((creative(X)&~old(X))=>(curious(X)&wise(X))))&
(![X]:((old(X)&humble(X))<=>(~calm(X)|kind(X))))&
(![X]:((~curious(X)|~creative(X))=>(~brave(X)|happy(X))))&
((?[X]:((patient(X)<~>wise(X))))<=>(?[X]:((~kind(X)<~>kind(X)))))&
((~old(alice))<=>((~tall(paul)<~>~curious(paul))))&
(![X]:((~old(X)<~>~tall(X))<=>(~patien... | ~patient(mary) | [
"p1",
"p5",
"p7",
"p10",
"p12",
"p14",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 8314496377198554585129805
% SZS output start Proof for 8314496377198554585129805
2. ! [X0] : ((humble(X0) & old(X0)) <=> (kind(X0) | ~calm(X0))) [input p1]
6. ! [X0] : ((~old(X0) <~> ~tall(X0)) <=> (~patient(X0) <~> generous(X0))) [input p5]
8. ! [X0] : ((rich(X0) <~> ~kind(X0)) => (~rich... | 0 |
Everyone who is both not generous and not old is not strong.
If fred is calm then fred is funny or not rich.
If someone is both tall and humble then susan is not rich and vice versa.
Everyone who is either calm or not patient is both rich and not curious.
If someone is either curious or calm then paul is kind or not qu... | Alice is not calm. | entailment | (![X]:((~generous(X)&~old(X))=>~strong(X)))&
((calm(fred))=>((funny(fred)|~rich(fred))))&
((?[X]:((tall(X)&humble(X))))<=>(~rich(susan)))&
(![X]:((calm(X)<~>~patient(X))=>(rich(X)&~curious(X))))&
((?[X]:((curious(X)<~>calm(X))))<=>((kind(paul)|~quiet(paul))))&
(![X]:((~happy(X)|~wise(X))<=>(~curious(X)<~>calm(X))))&
(!... | ~calm(alice) | [
"p5",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6347384600570278808648307
% SZS output start Proof for 6347384600570278808648307
6. ! [X0] : ((~wise(X0) | ~happy(X0)) <=> (~curious(X0) <~> calm(X0))) [input p5]
24. ~curious(alice) & ~happy(alice) [input p23]
25. calm(alice) [input hypothesis]
49. ! [X0] : (((~wise(X0) | ~happy(X0)) | (... | 0 |
Everyone who is either happy or not funny is both humble and not tall and vice versa.
Everyone who is creative or not generous is both not strong and wise.
Everyone who is rich or not strong is humble.
If john is either not rich or not curious then john is old and vice versa.
If fred is both not wise and not strong the... | Fred is kind. | neutral | (![X]:((happy(X)<~>~funny(X))<=>(humble(X)&~tall(X))))&
(![X]:((creative(X)|~generous(X))=>(~strong(X)&wise(X))))&
(![X]:((rich(X)|~strong(X))=>humble(X)))&
(((~rich(john)<~>~curious(john)))<=>(old(john)))&
(((~wise(fred)&~strong(fred)))=>(?[X]:(patient(X))))&
(![X]:(~curious(X)<=>tall(X)))&
(((~kind(mary)|old(mary)))=... | kind(fred) | [] | null | 0 |
If someone is both humble and creative then susan is rich. If someone is tall then fred is not calm or not funny. If someone is either funny or not happy then someone is not generous or curious and vice versa. Everyone who is not strong is not patient. If someone is happy or humble then paul is not rich and vice versa.... | Susan is not calm. | neutral | ((?[X]:((humble(X)&creative(X))))=>(rich(susan)))&
((?[X]:(tall(X)))=>((~calm(fred)|~funny(fred))))&
((?[X]:((funny(X)<~>~happy(X))))<=>(?[X]:((~generous(X)|curious(X)))))&
(![X]:(~strong(X)=>~patient(X)))&
((?[X]:((happy(X)|humble(X))))<=>(~rich(paul)))&
((~tall(mary))=>(?[X]:((~humble(X)|kind(X)))))&
((?[X]:((humble(... | ~calm(susan) | [] | null | 0 |
If someone is both not calm and not creative then fred is both humble and rich.
Everyone who is both not rich and not funny is both not kind and humble and vice versa.
If someone is tall then susan is both not rich and brave.
Everyone who is both not wise and not happy is both patient and not tall and vice versa.
Every... | Susan is not generous. | entailment | ((?[X]:((~calm(X)&~creative(X))))=>((humble(fred)&rich(fred))))&
(![X]:((~rich(X)&~funny(X))<=>(~kind(X)&humble(X))))&
((?[X]:(tall(X)))=>((~rich(susan)&brave(susan))))&
(![X]:((~wise(X)&~happy(X))<=>(patient(X)&~tall(X))))&
(![X]:((~patient(X)&patient(X))<=>(~creative(X)&funny(X))))&
(![X]:(strong(X)<=>(~curious(X)|cu... | ~generous(susan) | [
"p2",
"p9",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5725097517386318037913871
% SZS output start Proof for 5725097517386318037913871
3. ? [X0] : tall(X0) => (brave(susan) & ~rich(susan)) [input p2]
10. ! [X0] : (generous(X0) => (brave(X0) & ~funny(X0))) [input p9]
13. ! [X0] : ((strong(X0) & ~brave(X0)) <=> ~funny(X0)) [input p12]
22. ? [X... | 0 |
If someone is not brave or not curious then mary is both not old and not calm. If lucy is either not brave or not wise then someone is funny or curious and vice versa. Everyone who is tall is humble. If someone is both tall and happy then someone is quiet or generous. Everyone who is not patient is either wise or not g... | Paul is happy. | entailment | ((?[X]:((~brave(X)|~curious(X))))=>((~old(mary)&~calm(mary))))&
(((~brave(lucy)<~>~wise(lucy)))<=>(?[X]:((funny(X)|curious(X)))))&
(![X]:(tall(X)=>humble(X)))&
((?[X]:((tall(X)&happy(X))))=>(?[X]:((quiet(X)|generous(X)))))&
(![X]:(~patient(X)<=>(wise(X)<~>~generous(X))))&
(![X]:((~kind(X)<~>~rich(X))<=>(wise(X)|~patien... | happy(paul) | [
"p2",
"p7",
"p9",
"p12",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7486277676499725591583460
% SZS output start Proof for 7486277676499725591583460
3. ! [X0] : (tall(X0) => humble(X0)) [input p2]
8. ! [X0] : ((happy(X0) <~> rich(X0)) <=> (~rich(X0) & ~funny(X0))) [input p7]
10. ! [X0] : (humble(X0) <=> ~creative(X0)) [input p9]
13. ! [X0] : ((~kind(X0) |... | 0 |
If someone is either not kind or not humble then fred is either strong or patient and vice versa.
Everyone who is generous or not happy is both calm and not creative and vice versa.
Everyone who is either quiet or not calm is both funny and creative and vice versa.
If fred is both funny and humble then fred is creative... | Lucy is calm. | entailment | ((?[X]:((~kind(X)<~>~humble(X))))<=>((strong(fred)<~>patient(fred))))&
(![X]:((generous(X)|~happy(X))<=>(calm(X)&~creative(X))))&
(![X]:((quiet(X)<~>~calm(X))<=>(funny(X)&creative(X))))&
(((funny(fred)&humble(fred)))=>(creative(fred)))&
(![X]:(old(X)<=>(~happy(X)<~>~strong(X))))&
((?[X]:((generous(X)<~>~rich(X))))=>((~... | calm(lucy) | [
"p1",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6277023474987506168435390
% SZS output start Proof for 6277023474987506168435390
2. ! [X0] : ((~happy(X0) | generous(X0)) <=> (~creative(X0) & calm(X0))) [input p1]
8. ! [X0] : ((tall(X0) | ~quiet(X0)) <=> generous(X0)) [input p7]
12. ! [X0] : ((generous(X0) | quiet(X0)) <=> (generous(X0)... | 0 |
Everyone who is not happy is not generous and vice versa. If john is not brave or not creative then someone is both creative and not wise. Everyone who is either not quiet or patient is either not calm or wise and vice versa. If alice is either quiet or creative then someone is both quiet and tall and vice versa. Every... | John is generous. | neutral | (![X]:(~happy(X)<=>~generous(X)))&
(((~brave(john)|~creative(john)))=>(?[X]:((creative(X)&~wise(X)))))&
(![X]:((~quiet(X)<~>patient(X))<=>(~calm(X)<~>wise(X))))&
(((quiet(alice)<~>creative(alice)))<=>(?[X]:((quiet(X)&tall(X)))))&
(![X]:((~generous(X)&brave(X))<=>(patient(X)&humble(X))))&
((?[X]:((old(X)<~>quiet(X))))=>... | generous(john) | [] | null | 0 |
If lucy is either not rich or not wise then someone is both calm and not rich. If john is either not quiet or funny then someone is either wise or calm and vice versa. Everyone who is not happy or not brave is not strong or not rich. If someone is either not patient or not tall then alice is both not rich and not quiet... | Alice is not funny. | contradiction | (((~rich(lucy)<~>~wise(lucy)))=>(?[X]:((calm(X)&~rich(X)))))&
(((~quiet(john)<~>funny(john)))<=>(?[X]:((wise(X)<~>calm(X)))))&
(![X]:((~happy(X)|~brave(X))=>(~strong(X)|~rich(X))))&
((?[X]:((~patient(X)<~>~tall(X))))<=>((~rich(alice)&~quiet(alice))))&
(![X]:((wise(X)&brave(X))=>(~strong(X)&humble(X))))&
(((humble(alice... | ~funny(alice) | [
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3072423910977850201516927
% SZS output start Proof for 3072423910977850201516927
7. ! [X0] : ((strong(X0) | ~happy(X0)) <=> (~generous(X0) & ~strong(X0))) [input p6]
12. ? [X0] : ~funny(X0) <=> ? [X0] : (strong(X0) & ~kind(X0)) [input p11]
25. ~funny(alice) [input hypothesis]
27. ? [X0] :... | 0 |
Everyone who is not wise or not humble is rich.
If paul is both patient and wise then someone is funny.
Everyone who is either humble or rich is not patient and vice versa.
Everyone who is both not patient and happy is either brave or not quiet and vice versa.
Everyone who is not generous is both not patient and rich.
... | Lucy is not kind. | neutral | (![X]:((~wise(X)|~humble(X))=>rich(X)))&
(((patient(paul)&wise(paul)))=>(?[X]:(funny(X))))&
(![X]:((humble(X)<~>rich(X))<=>~patient(X)))&
(![X]:((~patient(X)&happy(X))<=>(brave(X)<~>~quiet(X))))&
(![X]:(~generous(X)=>(~patient(X)&rich(X))))&
((humble(alice))=>(?[X]:(humble(X))))&
(![X]:((strong(X)|curious(X))<=>(happy(... | ~kind(lucy) | [] | null | 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... | Fred is not humble. | neutral | ((?[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... | ~humble(fred) | [] | null | 0 |
If someone is both not curious and quiet then lucy is brave or not wise.
Everyone who is not calm is either not curious or kind.
Everyone who is patient is both not patient and calm and vice versa.
If alice is not old then someone is quiet and vice versa.
If someone is either curious or not funny then lucy is both gene... | Alice is not calm. | entailment | ((?[X]:((~curious(X)&quiet(X))))=>((brave(lucy)|~wise(lucy))))&
(![X]:(~calm(X)=>(~curious(X)<~>kind(X))))&
(![X]:(patient(X)<=>(~patient(X)&calm(X))))&
((~old(alice))<=>(?[X]:(quiet(X))))&
((?[X]:((curious(X)<~>~funny(X))))<=>((generous(lucy)&creative(lucy))))&
((?[X]:((~rich(X)&~kind(X))))=>((curious(alice)&generous(... | ~calm(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 6756379664227103113772657
% SZS output start Proof for 6756379664227103113772657
3. ! [X0] : (patient(X0) <=> (calm(X0) & ~patient(X0))) [input p2]
25. calm(alice) [input hypothesis]
40. ! [X0] : ((patient(X0) | (~calm(X0) | patient(X0))) & ((calm(X0) & ~patient(X0)) | ~patient(X0))) [nnf... | 0 |
Everyone who is either humble or not creative is not brave or generous.
If someone is not old then john is calm or strong.
Everyone who is not strong or curious is not generous or not kind and vice versa.
Everyone who is strong is calm.
Everyone who is either funny or generous is both not rich and not generous and vice... | Alice is curious. | entailment | (![X]:((humble(X)<~>~creative(X))=>(~brave(X)|generous(X))))&
((?[X]:(~old(X)))=>((calm(john)|strong(john))))&
(![X]:((~strong(X)|curious(X))<=>(~generous(X)|~kind(X))))&
(![X]:(strong(X)=>calm(X)))&
(![X]:((funny(X)<~>generous(X))<=>(~rich(X)&~generous(X))))&
(((generous(susan)&happy(susan)))<=>(?[X]:((~old(X)<~>patie... | curious(alice) | [
"p0",
"p2",
"p4",
"p6",
"p8",
"p10",
"p11",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1436244025367037921744905
% SZS output start Proof for 1436244025367037921744905
1. ! [X0] : ((humble(X0) <~> ~creative(X0)) => (generous(X0) | ~brave(X0))) [input p0]
3. ! [X0] : ((curious(X0) | ~strong(X0)) <=> (~kind(X0) | ~generous(X0))) [input p2]
5. ! [X0] : ((funny(X0) <~> generous... | 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... | Fred is brave. | 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... | brave(fred) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2056299103173122520296676
% SZS output start Proof for 2056299103173122520296676
7. ! [X0] : ((tall(X0) <~> ~tall(X0)) => ~brave(X0)) [input p6]
23. brave(fred) [input hypothesis]
26. ! [X0] : (~brave(X0) | (tall(X0) <=> ~tall(X0))) [ennf transformation 7]
51. ! [X0] : (~brave(X0) | ((tal... | 0 |
Everyone who is both not happy and not kind is both not quiet and calm. If someone is not creative then paul is both not wise and curious and vice versa. Everyone who is tall or not humble is not strong. If someone is not patient or not humble then someone is either not quiet or not patient. Everyone who is either not ... | Lucy is humble. | neutral | (![X]:((~happy(X)&~kind(X))=>(~quiet(X)&calm(X))))&
((?[X]:(~creative(X)))<=>((~wise(paul)&curious(paul))))&
(![X]:((tall(X)|~humble(X))=>~strong(X)))&
((?[X]:((~patient(X)|~humble(X))))=>(?[X]:((~quiet(X)<~>~patient(X)))))&
(![X]:((~strong(X)<~>happy(X))<=>(funny(X)<~>~calm(X))))&
(![X]:((~tall(X)&old(X))=>(~quiet(X)|... | humble(lucy) | [] | null | 0 |
If lucy is both creative and tall then alice is both funny and generous.
If fred is rich or not calm then mary is either kind or not kind and vice versa.
Everyone who is either not curious or not rich is either not wise or wise and vice versa.
If paul is either happy or not wise then someone is both happy and rich.
If ... | Paul is not wise. | contradiction | (((creative(lucy)&tall(lucy)))=>((funny(alice)&generous(alice))))&
(((rich(fred)|~calm(fred)))<=>((kind(mary)<~>~kind(mary))))&
(![X]:((~curious(X)<~>~rich(X))<=>(~wise(X)<~>wise(X))))&
(((happy(paul)<~>~wise(paul)))=>(?[X]:((happy(X)&rich(X)))))&
((?[X]:((patient(X)|old(X))))<=>((~quiet(mary)&funny(mary))))&
((?[X]:((... | ~wise(paul) | [
"p2",
"p4",
"p6",
"p8",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3674048736632413098778775
% SZS output start Proof for 3674048736632413098778775
3. ! [X0] : ((~curious(X0) <~> ~rich(X0)) <=> (~wise(X0) <~> wise(X0))) [input p2]
5. ? [X0] : (old(X0) | patient(X0)) <=> (funny(mary) & ~quiet(mary)) [input p4]
7. ! [X0] : ((quiet(X0) & ~calm(X0)) <=> (fun... | 0 |
Everyone who is both not curious and kind is both not creative and quiet.
Everyone who is not wise or wise is both not funny and not tall and vice versa.
Everyone who is both not old and curious is tall or calm.
If someone is either rich or old then fred is strong and vice versa.
Everyone who is not generous or not hum... | Paul is strong. | neutral | (![X]:((~curious(X)&kind(X))=>(~creative(X)&quiet(X))))&
(![X]:((~wise(X)|wise(X))<=>(~funny(X)&~tall(X))))&
(![X]:((~old(X)&curious(X))=>(tall(X)|calm(X))))&
((?[X]:((rich(X)<~>old(X))))<=>(strong(fred)))&
(![X]:((~generous(X)|~humble(X))<=>~creative(X)))&
((?[X]:((~quiet(X)&~old(X))))<=>(curious(john)))&
(![X]:((~kin... | strong(paul) | [] | null | 0 |
If fred is not old then alice is not creative and vice versa. Everyone who is either generous or old is either humble or quiet. Everyone who is either brave or generous is either not humble or not rich. Everyone who is either quiet or old is tall or curious and vice versa. Everyone who is funny is not quiet or humble a... | Fred is brave. | entailment | ((~old(fred))<=>(~creative(alice)))&
(![X]:((generous(X)<~>old(X))=>(humble(X)<~>quiet(X))))&
(![X]:((brave(X)<~>generous(X))=>(~humble(X)<~>~rich(X))))&
(![X]:((quiet(X)<~>old(X))<=>(tall(X)|curious(X))))&
(![X]:(funny(X)<=>(~quiet(X)|humble(X))))&
(![X]:(~quiet(X)=>(brave(X)&~old(X))))&
(![X]:((generous(X)|humble(X))... | brave(fred) | [
"p6",
"p7",
"p8",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8255014873971690100792949
% SZS output start Proof for 8255014873971690100792949
7. ! [X0] : ((humble(X0) | generous(X0)) => (~creative(X0) & ~strong(X0))) [input p6]
8. ! [X0] : ((old(X0) & ~humble(X0)) <=> brave(X0)) [input p7]
9. ! [X0] : (~creative(X0) => (~wise(X0) <~> ~creative(X0))... | 0 |
Everyone who is both not happy and brave is either wise or curious.
If someone is both not strong and rich then someone is not rich and vice versa.
Everyone who is either not creative or quiet is happy and vice versa.
Everyone who is not patient is not quiet or generous and vice versa.
If alice is not tall or not funny... | John is tall. | neutral | (![X]:((~happy(X)&brave(X))=>(wise(X)<~>curious(X))))&
((?[X]:((~strong(X)&rich(X))))<=>(?[X]:(~rich(X))))&
(![X]:((~creative(X)<~>quiet(X))<=>happy(X)))&
(![X]:(~patient(X)<=>(~quiet(X)|generous(X))))&
(((~tall(alice)|~funny(alice)))=>(?[X]:((~humble(X)&kind(X)))))&
(![X]:((~humble(X)&calm(X))<=>~wise(X)))&
(((kind(al... | tall(john) | [] | null | 0 |
Everyone who is either not creative or happy is not brave or not curious.
Everyone who is either creative or brave is quiet or not calm.
Everyone who is not calm or not tall is either calm or not rich.
Everyone who is both kind and not wise is not kind or kind and vice versa.
Everyone who is strong or not funny is both... | Lucy is not curious. | neutral | (![X]:((~creative(X)<~>happy(X))=>(~brave(X)|~curious(X))))&
(![X]:((creative(X)<~>brave(X))=>(quiet(X)|~calm(X))))&
(![X]:((~calm(X)|~tall(X))=>(calm(X)<~>~rich(X))))&
(![X]:((kind(X)&~wise(X))<=>(~kind(X)|kind(X))))&
(![X]:((strong(X)|~funny(X))<=>(old(X)&wise(X))))&
((?[X]:((~generous(X)|~humble(X))))=>(?[X]:(~wise(... | ~curious(lucy) | [] | null | 0 |
Everyone who is either not strong or not old is either tall or not brave.
Everyone who is either not creative or humble is both not tall and brave.
If alice is either not rich or not generous then someone is tall or rich.
Everyone who is not kind or not generous is creative or not happy and vice versa.
Everyone who is ... | Alice is not rich. | neutral | (![X]:((~strong(X)<~>~old(X))=>(tall(X)<~>~brave(X))))&
(![X]:((~creative(X)<~>humble(X))=>(~tall(X)&brave(X))))&
(((~rich(alice)<~>~generous(alice)))=>(?[X]:((tall(X)|rich(X)))))&
(![X]:((~kind(X)|~generous(X))<=>(creative(X)|~happy(X))))&
(![X]:(~creative(X)=>(brave(X)|happy(X))))&
(![X]:((~kind(X)&strong(X))=>(stron... | ~rich(alice) | [] | null | 0 |
If susan is not brave then susan is not old.
If someone is not generous then someone is curious.
If mary is not kind or quiet then fred is both kind and not humble.
Everyone who is either not funny or patient is not kind or not brave.
Everyone who is not quiet is not calm or not brave.
If someone is both happy and not ... | Susan is not generous. | neutral | ((~brave(susan))=>(~old(susan)))&
((?[X]:(~generous(X)))=>(?[X]:(curious(X))))&
(((~kind(mary)|quiet(mary)))=>((kind(fred)&~humble(fred))))&
(![X]:((~funny(X)<~>patient(X))=>(~kind(X)|~brave(X))))&
(![X]:(~quiet(X)=>(~calm(X)|~brave(X))))&
((?[X]:((happy(X)&~happy(X))))=>((funny(susan)<~>~wise(susan))))&
(![X]:((~gener... | ~generous(susan) | [] | null | 0 |
If alice is both kind and rich then someone is calm or not creative and vice versa. If paul is both not old and not creative then lucy is patient or humble. Everyone who is funny is not patient or wise. If someone is funny or not quiet then someone is generous and vice versa. If someone is either not wise or old then s... | Susan is kind. | contradiction | (((kind(alice)&rich(alice)))<=>(?[X]:((calm(X)|~creative(X)))))&
(((~old(paul)&~creative(paul)))=>((patient(lucy)|humble(lucy))))&
(![X]:(funny(X)=>(~patient(X)|wise(X))))&
((?[X]:((funny(X)|~quiet(X))))<=>(?[X]:(generous(X))))&
((?[X]:((~wise(X)<~>old(X))))<=>(?[X]:((~creative(X)|~quiet(X)))))&
((?[X]:((wise(X)&~gener... | kind(susan) | [
"p3",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8068120326613099174691031
% SZS output start Proof for 8068120326613099174691031
4. ? [X0] : (~quiet(X0) | funny(X0)) <=> ? [X0] : generous(X0) [input p3]
9. ! [X0] : ((generous(X0) | ~humble(X0)) => (~generous(X0) & tall(X0))) [input p8]
11. (funny(susan) <~> kind(susan)) <=> ? [X0] : (b... | 0 |
If alice is not quiet or not wise then someone is happy.
Everyone who is not strong is tall or not funny and vice versa.
Everyone who is wise or brave is either funny or not happy and vice versa.
If susan is both not kind and calm then someone is not curious and vice versa.
Everyone who is tall is quiet and vice versa.... | Susan is not creative. | neutral | (((~quiet(alice)|~wise(alice)))=>(?[X]:(happy(X))))&
(![X]:(~strong(X)<=>(tall(X)|~funny(X))))&
(![X]:((wise(X)|brave(X))<=>(funny(X)<~>~happy(X))))&
(((~kind(susan)&calm(susan)))<=>(?[X]:(~curious(X))))&
(![X]:(tall(X)<=>quiet(X)))&
((?[X]:((tall(X)<~>~wise(X))))<=>(?[X]:((~generous(X)&brave(X)))))&
((~strong(susan))=... | ~creative(susan) | [] | null | 0 |
Everyone who is brave or rich is funny or strong and vice versa.
If mary is not generous then paul is both not rich and wise and vice versa.
If susan is both not curious and patient then someone is not strong or funny.
Everyone who is either not old or not creative is both wise and tall.
Everyone who is either not rich... | John is not kind. | entailment | (![X]:((brave(X)|rich(X))<=>(funny(X)|strong(X))))&
((~generous(mary))<=>((~rich(paul)&wise(paul))))&
(((~curious(susan)&patient(susan)))=>(?[X]:((~strong(X)|funny(X)))))&
(![X]:((~old(X)<~>~creative(X))=>(wise(X)&tall(X))))&
(![X]:((~rich(X)<~>~happy(X))<=>(curious(X)&generous(X))))&
((?[X]:((~happy(X)|~kind(X))))<=>(... | ~kind(john) | [
"p3",
"p6",
"p8",
"p10",
"p11",
"p12",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2292877577802652555805661
% SZS output start Proof for 2292877577802652555805661
4. ! [X0] : ((~old(X0) <~> ~creative(X0)) => (tall(X0) & wise(X0))) [input p3]
7. ? [X0] : (~curious(X0) <~> old(X0)) <=> (wise(john) & ~patient(john)) [input p6]
9. ! [X0] : ((~tall(X0) & ~kind(X0)) <=> (ric... | 0 |
If someone is either strong or old then alice is calm and vice versa. Everyone who is either kind or funny is both curious and tall and vice versa. Everyone who is both not old and generous is curious or not wise and vice versa. Everyone who is strong is happy and vice versa. If john is both curious and rich then fred ... | Susan is creative. | entailment | ((?[X]:((strong(X)<~>old(X))))<=>(calm(alice)))&
(![X]:((kind(X)<~>funny(X))<=>(curious(X)&tall(X))))&
(![X]:((~old(X)&generous(X))<=>(curious(X)|~wise(X))))&
(![X]:(strong(X)<=>happy(X)))&
(((curious(john)&rich(john)))=>((~patient(fred)|calm(fred))))&
((?[X]:((~patient(X)&tall(X))))=>((~wise(john)&humble(john))))&
((?... | creative(susan) | [
"p6",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2051734699350576522867410
% SZS output start Proof for 2051734699350576522867410
7. ? [X0] : (wise(X0) | ~tall(X0)) <=> (~curious(lucy) & curious(lucy)) [input p6]
11. ! [X0] : (humble(X0) <=> (tall(X0) | wise(X0))) [input p10]
12. ! [X0] : ((~kind(X0) & curious(X0)) <=> (~creative(X0) <~... | 0 |
If paul is both not brave and not generous then someone is not generous and vice versa.
Everyone who is patient or not tall is both patient and not strong and vice versa.
Everyone who is not generous or generous is either not wise or calm and vice versa.
If mary is not calm then someone is old and vice versa.
Everyone ... | John is not strong. | neutral | (((~brave(paul)&~generous(paul)))<=>(?[X]:(~generous(X))))&
(![X]:((patient(X)|~tall(X))<=>(patient(X)&~strong(X))))&
(![X]:((~generous(X)|generous(X))<=>(~wise(X)<~>calm(X))))&
((~calm(mary))<=>(?[X]:(old(X))))&
(![X]:(funny(X)<=>(wise(X)|rich(X))))&
((?[X]:(~old(X)))=>((~strong(susan)<~>happy(susan))))&
(![X]:((creat... | ~strong(john) | [] | null | 0 |
Everyone who is both not rich and not wise is both not generous and not kind and vice versa.
Everyone who is both not wise and patient is either patient or not tall and vice versa.
If someone is tall or generous then someone is not humble.
If someone is strong then someone is both curious and tall.
Everyone who is wise... | Fred is not happy. | neutral | (![X]:((~rich(X)&~wise(X))<=>(~generous(X)&~kind(X))))&
(![X]:((~wise(X)&patient(X))<=>(patient(X)<~>~tall(X))))&
((?[X]:((tall(X)|generous(X))))=>(?[X]:(~humble(X))))&
((?[X]:(strong(X)))=>(?[X]:((curious(X)&tall(X)))))&
(![X]:((wise(X)|~strong(X))<=>(~generous(X)|~tall(X))))&
(![X]:((~calm(X)|~happy(X))<=>~tall(X)))&... | ~happy(fred) | [] | null | 0 |
If someone is either patient or humble then john is not tall or curious.
Everyone who is either not creative or not old is calm or not humble and vice versa.
Everyone who is not calm is not humble and vice versa.
Everyone who is either calm or not generous is curious or not creative.
If paul is not wise or happy then m... | Mary is patient. | entailment | ((?[X]:((patient(X)<~>humble(X))))=>((~tall(john)|curious(john))))&
(![X]:((~creative(X)<~>~old(X))<=>(calm(X)|~humble(X))))&
(![X]:(~calm(X)<=>~humble(X)))&
(![X]:((calm(X)<~>~generous(X))=>(curious(X)|~creative(X))))&
(((~wise(paul)|happy(paul)))<=>(curious(mary)))&
(((~wise(fred)<~>~creative(fred)))<=>(?[X]:((curiou... | patient(mary) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8480192584875941964903427
% SZS output start Proof for 8480192584875941964903427
16. ! [X0] : ((patient(X0) | kind(X0)) <=> ~kind(X0)) [input p15]
25. ~patient(mary) [input hypothesis]
69. ! [X0] : (((patient(X0) | kind(X0)) | kind(X0)) & (~kind(X0) | (~patient(X0) & ~kind(X0)))) [nnf tra... | 0 |
If alice is both strong and happy then someone is either not brave or old. Everyone who is not quiet or not patient is wise. Everyone who is wise is either not funny or generous. Everyone who is funny is not kind and vice versa. If susan is either not happy or not curious then fred is either generous or not strong and ... | Paul is wise. | entailment | (((strong(alice)&happy(alice)))=>(?[X]:((~brave(X)<~>old(X)))))&
(![X]:((~quiet(X)|~patient(X))=>wise(X)))&
(![X]:(wise(X)=>(~funny(X)<~>generous(X))))&
(![X]:(funny(X)<=>~kind(X)))&
(((~happy(susan)<~>~curious(susan)))<=>((generous(fred)<~>~strong(fred))))&
(![X]:((~creative(X)&calm(X))=>tall(X)))&
(![X]:((patient(X)<... | wise(paul) | [
"p1",
"p6",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7114573933288425665351877
% SZS output start Proof for 7114573933288425665351877
2. ! [X0] : ((~patient(X0) | ~quiet(X0)) => wise(X0)) [input p1]
7. ! [X0] : ((patient(X0) <~> old(X0)) <=> (~wise(X0) | generous(X0))) [input p6]
8. ! [X0] : ((~old(X0) | brave(X0)) <=> curious(X0)) [input p... | 0 |
If lucy is either not generous or tall then paul is either not wise or not funny and vice versa.
If mary is quiet then someone is both quiet and funny.
If someone is not wise or not strong then someone is both not curious and not wise.
Everyone who is either old or not humble is not calm or not wise.
Everyone who is cr... | Lucy is not strong. | neutral | (((~generous(lucy)<~>tall(lucy)))<=>((~wise(paul)<~>~funny(paul))))&
((quiet(mary))=>(?[X]:((quiet(X)&funny(X)))))&
((?[X]:((~wise(X)|~strong(X))))=>(?[X]:((~curious(X)&~wise(X)))))&
(![X]:((old(X)<~>~humble(X))=>(~calm(X)|~wise(X))))&
(![X]:(creative(X)=>(~old(X)<~>~tall(X))))&
(![X]:((~wise(X)|~creative(X))<=>(quiet(... | ~strong(lucy) | [] | null | 0 |
If alice is both humble and not funny then someone is either not humble or not kind and vice versa.
Everyone who is not old or patient is both patient and not patient and vice versa.
If lucy is either quiet or curious then paul is either not old or brave.
If fred is both wise and not curious then fred is not old.
If so... | Susan is old. | entailment | (((humble(alice)&~funny(alice)))<=>(?[X]:((~humble(X)<~>~kind(X)))))&
(![X]:((~old(X)|patient(X))<=>(patient(X)&~patient(X))))&
(((quiet(lucy)<~>curious(lucy)))=>((~old(paul)<~>brave(paul))))&
(((wise(fred)&~curious(fred)))=>(~old(fred)))&
((?[X]:((~happy(X)<~>creative(X))))<=>((strong(paul)&old(paul))))&
((wise(fred))... | old(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7690512625584573263647363
% SZS output start Proof for 7690512625584573263647363
2. ! [X0] : ((patient(X0) | ~old(X0)) <=> (~patient(X0) & patient(X0))) [input p1]
24. ~old(susan) [input hypothesis]
42. ! [X0] : (((patient(X0) | ~old(X0)) | (patient(X0) | ~patient(X0))) & ((~patient(X0) &... | 0 |
Everyone who is either not tall or not happy is both wise and not funny. Everyone who is not kind or kind is both happy and old and vice versa. If someone is either brave or not patient then alice is either not kind or not old. Everyone who is not kind is not humble or not happy. Everyone who is either not happy or hap... | Alice is funny. | entailment | (![X]:((~tall(X)<~>~happy(X))=>(wise(X)&~funny(X))))&
(![X]:((~kind(X)|kind(X))<=>(happy(X)&old(X))))&
((?[X]:((brave(X)<~>~patient(X))))=>((~kind(alice)<~>~old(alice))))&
(![X]:(~kind(X)=>(~humble(X)|~happy(X))))&
(![X]:((~happy(X)<~>happy(X))<=>(~wise(X)&funny(X))))&
((?[X]:(wise(X)))<=>((~quiet(fred)<~>~humble(fred)... | funny(alice) | [
"p1",
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 8462997292047499811744357
% SZS output start Proof for 8462997292047499811744357
2. ! [X0] : ((kind(X0) | ~kind(X0)) <=> (old(X0) & happy(X0))) [input p1]
5. ! [X0] : ((~happy(X0) <~> happy(X0)) <=> (funny(X0) & ~wise(X0))) [input p4]
22. ~funny(alice) [input hypothesis]
38. ! [X0] : (((k... | 0 |
Everyone who is both not humble and humble is brave or happy.
If alice is either quiet or not creative then someone is not strong.
Everyone who is generous or not rich is either not curious or creative.
If someone is not humble or curious then paul is either not humble or not generous.
Everyone who is either not rich o... | Lucy is not brave. | contradiction | (![X]:((~humble(X)&humble(X))=>(brave(X)|happy(X))))&
(((quiet(alice)<~>~creative(alice)))=>(?[X]:(~strong(X))))&
(![X]:((generous(X)|~rich(X))=>(~curious(X)<~>creative(X))))&
((?[X]:((~humble(X)|curious(X))))=>((~humble(paul)<~>~generous(paul))))&
(![X]:((~rich(X)<~>humble(X))<=>(generous(X)<~>~tall(X))))&
(![X]:(wise... | ~brave(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 4706116824822065638794027
% SZS output start Proof for 4706116824822065638794027
7. ! [X0] : ((~humble(X0) | humble(X0)) <=> (brave(X0) & ~rich(X0))) [input p6]
25. ~brave(lucy) [input hypothesis]
48. ! [X0] : (((~humble(X0) | humble(X0)) | (~brave(X0) | rich(X0))) & ((brave(X0) & ~rich(X... | 0 |
Everyone who is both not quiet and not funny is both humble and not kind and vice versa.
Everyone who is old or not tall is humble and vice versa.
If someone is not tall or not kind then john is both not kind and not funny.
Everyone who is not rich or patient is creative or calm.
If alice is wise or not generous then s... | Alice is not strong. | neutral | (![X]:((~quiet(X)&~funny(X))<=>(humble(X)&~kind(X))))&
(![X]:((old(X)|~tall(X))<=>humble(X)))&
((?[X]:((~tall(X)|~kind(X))))=>((~kind(john)&~funny(john))))&
(![X]:((~rich(X)|patient(X))=>(creative(X)|calm(X))))&
(((wise(alice)|~generous(alice)))=>((tall(susan)|old(susan))))&
(((~generous(fred)|happy(fred)))<=>(kind(pau... | ~strong(alice) | [] | null | 0 |
If someone is quiet then alice is either funny or not wise.
If someone is either humble or generous then paul is tall or not strong and vice versa.
Everyone who is both not tall and not patient is both not generous and not brave.
If someone is curious then susan is either not strong or not old.
If someone is brave then... | Alice is creative. | entailment | ((?[X]:(quiet(X)))=>((funny(alice)<~>~wise(alice))))&
((?[X]:((humble(X)<~>generous(X))))<=>((tall(paul)|~strong(paul))))&
(![X]:((~tall(X)&~patient(X))=>(~generous(X)&~brave(X))))&
((?[X]:(curious(X)))=>((~strong(susan)<~>~old(susan))))&
((?[X]:(brave(X)))<=>((creative(alice)<~>generous(alice))))&
(![X]:((~old(X)|~bra... | creative(alice) | [
"p4",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5978334029342354793947747
% SZS output start Proof for 5978334029342354793947747
5. ? [X0] : brave(X0) <=> (creative(alice) <~> generous(alice)) [input p4]
18. ~tall(alice) & ~generous(alice) [input p17]
19. brave(mary) & wise(mary) [input p18]
22. ~creative(alice) [input hypothesis]
47. ... | 0 |
If mary is both kind and not tall then fred is not patient and vice versa.
If fred is both kind and not funny then susan is not tall or calm and vice versa.
Everyone who is both humble and not tall is not calm.
Everyone who is not quiet is either not quiet or curious.
Everyone who is both rich and not rich is both wise... | Lucy is old. | neutral | (((kind(mary)&~tall(mary)))<=>(~patient(fred)))&
(((kind(fred)&~funny(fred)))<=>((~tall(susan)|calm(susan))))&
(![X]:((humble(X)&~tall(X))=>~calm(X)))&
(![X]:(~quiet(X)=>(~quiet(X)<~>curious(X))))&
(![X]:((rich(X)&~rich(X))=>(wise(X)&~old(X))))&
(((quiet(mary)|~tall(mary)))=>((~curious(mary)<~>~generous(mary))))&
((~ki... | old(lucy) | [] | null | 0 |
Everyone who is humble or not tall is either strong or not happy and vice versa.
Everyone who is either strong or quiet is both not rich and not calm.
Everyone who is both strong and wise is calm.
If fred is not creative or humble then mary is not humble and vice versa.
If someone is funny or brave then john is funny.
... | Mary is not patient. | entailment | (![X]:((humble(X)|~tall(X))<=>(strong(X)<~>~happy(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~rich(X)&~calm(X))))&
(![X]:((strong(X)&wise(X))=>calm(X)))&
(((~creative(fred)|humble(fred)))<=>(~humble(mary)))&
((?[X]:((funny(X)|brave(X))))=>(funny(john)))&
(((calm(fred)<~>~creative(fred)))<=>(?[X]:(~rich(X))))&
(![X]:((funny... | ~patient(mary) | [
"p0",
"p6",
"p7",
"p8",
"p10",
"p12",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1260138952722890815801284
% SZS output start Proof for 1260138952722890815801284
1. ! [X0] : ((~tall(X0) | humble(X0)) <=> (strong(X0) <~> ~happy(X0))) [input p0]
7. ! [X0] : ((funny(X0) <~> kind(X0)) <=> (tall(X0) & ~kind(X0))) [input p6]
8. ? [X0] : ~creative(X0) => ~funny(paul) [input ... | 0 |
Everyone who is old is not rich. Everyone who is not funny is either rich or old. Everyone who is either funny or wise is patient or strong. If someone is not kind or tall then susan is not funny or wise and vice versa. Everyone who is curious is humble or not generous and vice versa. Everyone who is both not brave and... | John is not rich. | entailment | (![X]:(old(X)=>~rich(X)))&
(![X]:(~funny(X)=>(rich(X)<~>old(X))))&
(![X]:((funny(X)<~>wise(X))=>(patient(X)|strong(X))))&
((?[X]:((~kind(X)|tall(X))))<=>((~funny(susan)|wise(susan))))&
(![X]:(curious(X)<=>(humble(X)|~generous(X))))&
(![X]:((~brave(X)&~strong(X))<=>(~old(X)|~brave(X))))&
(![X]:(~humble(X)=>(kind(X)&~hap... | ~rich(john) | [
"p0",
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 457333985942476793094303
% SZS output start Proof for 457333985942476793094303
1. ! [X0] : (old(X0) => ~rich(X0)) [input p0]
6. ! [X0] : ((~strong(X0) & ~brave(X0)) <=> (~brave(X0) | ~old(X0))) [input p5]
11. ! [X0] : ((old(X0) | ~strong(X0)) => (brave(X0) & humble(X0))) [input p10]
23. r... | 0 |
Everyone who is patient or not funny is humble or patient.
Everyone who is not patient or old is either not patient or not funny and vice versa.
Everyone who is both curious and kind is both not rich and strong and vice versa.
Everyone who is either old or happy is not generous or old and vice versa.
Everyone who is no... | Alice is not wise. | contradiction | (![X]:((patient(X)|~funny(X))=>(humble(X)|patient(X))))&
(![X]:((~patient(X)|old(X))<=>(~patient(X)<~>~funny(X))))&
(![X]:((curious(X)&kind(X))<=>(~rich(X)&strong(X))))&
(![X]:((old(X)<~>happy(X))<=>(~generous(X)|old(X))))&
(![X]:((~quiet(X)|~strong(X))<=>(~quiet(X)&quiet(X))))&
(![X]:((happy(X)&~brave(X))=>~patient(X)... | ~wise(alice) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"p9",
"p11",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 1207579949071328732205360
% SZS output start Proof for 1207579949071328732205360
3. ! [X0] : ((kind(X0) & curious(X0)) <=> (strong(X0) & ~rich(X0))) [input p2]
4. ! [X0] : ((old(X0) <~> happy(X0)) <=> (old(X0) | ~generous(X0))) [input p3]
5. ! [X0] : ((~strong(X0) | ~quiet(X0)) <=> (quiet... | 0 |
Everyone who is both not tall and not calm is not brave or not humble. If fred is both quiet and creative then alice is not rich and vice versa. If someone is happy or not generous then someone is patient and vice versa. Everyone who is not kind or not brave is rich or not tall. Everyone who is funny or humble is rich ... | Lucy is calm. | neutral | (![X]:((~tall(X)&~calm(X))=>(~brave(X)|~humble(X))))&
(((quiet(fred)&creative(fred)))<=>(~rich(alice)))&
((?[X]:((happy(X)|~generous(X))))<=>(?[X]:(patient(X))))&
(![X]:((~kind(X)|~brave(X))=>(rich(X)|~tall(X))))&
(![X]:((funny(X)|humble(X))<=>(rich(X)|curious(X))))&
(![X]:(~generous(X)=>(brave(X)|creative(X))))&
(![X]... | calm(lucy) | [] | null | 0 |
Everyone who is both strong and calm is not generous or not strong and vice versa.
Everyone who is happy is both not tall and old and vice versa.
If someone is both not humble and tall then alice is either tall or not happy.
Everyone who is both not wise and not rich is not calm.
If fred is either not kind or old then ... | Alice is calm. | entailment | (![X]:((strong(X)&calm(X))<=>(~generous(X)|~strong(X))))&
(![X]:(happy(X)<=>(~tall(X)&old(X))))&
((?[X]:((~humble(X)&tall(X))))=>((tall(alice)<~>~happy(alice))))&
(![X]:((~wise(X)&~rich(X))=>~calm(X)))&
(((~kind(fred)<~>old(fred)))<=>(?[X]:((~quiet(X)&creative(X)))))&
(![X]:((tall(X)|old(X))=>(~patient(X)|brave(X))))&
... | calm(alice) | [
"p0",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8902582372678952227676393
% SZS output start Proof for 8902582372678952227676393
1. ! [X0] : ((calm(X0) & strong(X0)) <=> (~strong(X0) | ~generous(X0))) [input p0]
14. ! [X0] : ((strong(X0) & ~generous(X0)) <=> (~calm(X0) | ~humble(X0))) [input p13]
21. ~calm(alice) [input hypothesis]
32.... | 0 |
Everyone who is not kind is not patient or not strong and vice versa.
Everyone who is not old is either not curious or old.
If someone is both not rich and not generous then alice is not strong.
Everyone who is happy or not curious is either brave or not humble and vice versa.
If lucy is quiet or not wise then someone ... | Paul is funny. | neutral | (![X]:(~kind(X)<=>(~patient(X)|~strong(X))))&
(![X]:(~old(X)=>(~curious(X)<~>old(X))))&
((?[X]:((~rich(X)&~generous(X))))=>(~strong(alice)))&
(![X]:((happy(X)|~curious(X))<=>(brave(X)<~>~humble(X))))&
(((quiet(lucy)|~wise(lucy)))=>(?[X]:((~brave(X)|kind(X)))))&
(![X]:((~creative(X)|quiet(X))<=>(~creative(X)&quiet(X))))... | funny(paul) | [] | null | 0 |
If someone is rich then susan is not patient and vice versa.
If someone is not strong then fred is not humble and vice versa.
Everyone who is not kind or happy is not kind or old and vice versa.
If john is patient then paul is generous.
If someone is not brave or not wise then john is not happy or calm.
Everyone who is... | John is happy. | neutral | ((?[X]:(rich(X)))<=>(~patient(susan)))&
((?[X]:(~strong(X)))<=>(~humble(fred)))&
(![X]:((~kind(X)|happy(X))<=>(~kind(X)|old(X))))&
((patient(john))=>(generous(paul)))&
((?[X]:((~brave(X)|~wise(X))))=>((~happy(john)|calm(john))))&
(![X]:((quiet(X)&wise(X))<=>(~wise(X)<~>~brave(X))))&
(((~kind(paul)<~>calm(paul)))<=>(?[X... | happy(john) | [] | null | 0 |
Everyone who is either wise or calm is either not tall or not quiet.
Everyone who is funny or not patient is curious or not generous.
Everyone who is tall is funny and vice versa.
Everyone who is either not tall or funny is humble.
If someone is either strong or not calm then john is either not brave or not old and vic... | Paul is not old. | neutral | (![X]:((wise(X)<~>calm(X))=>(~tall(X)<~>~quiet(X))))&
(![X]:((funny(X)|~patient(X))=>(curious(X)|~generous(X))))&
(![X]:(tall(X)<=>funny(X)))&
(![X]:((~tall(X)<~>funny(X))=>humble(X)))&
((?[X]:((strong(X)<~>~calm(X))))<=>((~brave(john)<~>~old(john))))&
((tall(paul))<=>(?[X]:((~brave(X)<~>curious(X)))))&
((?[X]:((tall(X... | ~old(paul) | [] | null | 0 |
If lucy is patient then someone is not curious or strong and vice versa. Everyone who is either not calm or quiet is not rich or not wise and vice versa. Everyone who is old or not funny is not kind or funny and vice versa. Everyone who is either humble or not generous is both quiet and not tall. Everyone who is brave ... | Alice is not old. | contradiction | ((patient(lucy))<=>(?[X]:((~curious(X)|strong(X)))))&
(![X]:((~calm(X)<~>quiet(X))<=>(~rich(X)|~wise(X))))&
(![X]:((old(X)|~funny(X))<=>(~kind(X)|funny(X))))&
(![X]:((humble(X)<~>~generous(X))=>(quiet(X)&~tall(X))))&
(![X]:(brave(X)=>funny(X)))&
(![X]:((~humble(X)|creative(X))=>(~wise(X)<~>~strong(X))))&
(((~happy(lucy... | ~old(alice) | [
"p2",
"p4",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 212921569018954429771228
% SZS output start Proof for 212921569018954429771228
3. ! [X0] : ((~funny(X0) | old(X0)) <=> (funny(X0) | ~kind(X0))) [input p2]
5. ! [X0] : (brave(X0) => funny(X0)) [input p4]
16. ! [X0] : (~brave(X0) => (calm(X0) & humble(X0))) [input p15]
21. ~calm(alice) [inp... | 0 |
If someone is strong or not rich then susan is not rich or curious and vice versa.
If someone is not calm then paul is curious or creative.
Everyone who is not wise or curious is both not generous and kind and vice versa.
If john is both not old and happy then john is not generous or wise and vice versa.
Everyone who i... | Mary is not strong. | entailment | ((?[X]:((strong(X)|~rich(X))))<=>((~rich(susan)|curious(susan))))&
((?[X]:(~calm(X)))=>((curious(paul)|creative(paul))))&
(![X]:((~wise(X)|curious(X))<=>(~generous(X)&kind(X))))&
(((~old(john)&happy(john)))<=>((~generous(john)|wise(john))))&
(![X]:((~kind(X)|~patient(X))<=>(~funny(X)&funny(X))))&
(![X]:((rich(X)<~>~tal... | ~strong(mary) | [
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6606889631587525757758768
% SZS output start Proof for 6606889631587525757758768
5. ! [X0] : ((~patient(X0) | ~kind(X0)) <=> (funny(X0) & ~funny(X0))) [input p4]
13. ! [X0] : ((happy(X0) & patient(X0)) <=> (~strong(X0) <~> ~happy(X0))) [input p12]
22. strong(mary) [input hypothesis]
39. !... | 0 |
If alice is rich then mary is either wise or not happy and vice versa. If someone is either wise or patient then mary is both not calm and not generous. If lucy is wise then susan is not creative. Everyone who is not brave is both not kind and generous. If someone is not wise or not kind then someone is both creative a... | Alice is not humble. | entailment | ((rich(alice))<=>((wise(mary)<~>~happy(mary))))&
((?[X]:((wise(X)<~>patient(X))))=>((~calm(mary)&~generous(mary))))&
((wise(lucy))=>(~creative(susan)))&
(![X]:(~brave(X)=>(~kind(X)&generous(X))))&
((?[X]:((~wise(X)|~kind(X))))=>(?[X]:((creative(X)&~curious(X)))))&
(![X]:(~wise(X)=>~creative(X)))&
(![X]:((brave(X)&curio... | ~humble(alice) | [
"p1",
"p5",
"p8",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3736914215285357837573958
% SZS output start Proof for 3736914215285357837573958
2. ? [X0] : (wise(X0) <~> patient(X0)) => (~generous(mary) & ~calm(mary)) [input p1]
6. ! [X0] : (~wise(X0) => ~creative(X0)) [input p5]
9. ! [X0] : ((~creative(X0) | ~calm(X0)) <=> calm(X0)) [input p8]
12. !... | 0 |
If someone is both generous and not calm then mary is either happy or not funny and vice versa.
Everyone who is either happy or not humble is both rich and not strong.
If someone is generous or not curious then someone is either old or generous.
Everyone who is funny is either not old or strong.
If fred is either not o... | Alice is kind. | contradiction | ((?[X]:((generous(X)&~calm(X))))<=>((happy(mary)<~>~funny(mary))))&
(![X]:((happy(X)<~>~humble(X))=>(rich(X)&~strong(X))))&
((?[X]:((generous(X)|~curious(X))))=>(?[X]:((old(X)<~>generous(X)))))&
(![X]:(funny(X)=>(~old(X)<~>strong(X))))&
(((~old(fred)<~>~creative(fred)))<=>((~old(lucy)&patient(lucy))))&
(![X]:((old(X)&~... | kind(alice) | [
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5267419124772649346169103
% SZS output start Proof for 5267419124772649346169103
9. ! [X0] : ((humble(X0) | curious(X0)) => (calm(X0) & ~humble(X0))) [input p8]
11. ! [X0] : ((curious(X0) & ~happy(X0)) <=> (kind(X0) & ~humble(X0))) [input p10]
14. ! [X0] : (brave(X0) <=> humble(X0)) [inpu... | 0 |
If someone is wise or not funny then someone is happy or not happy and vice versa.
If someone is either happy or humble then lucy is either calm or not funny and vice versa.
If susan is both not calm and rich then lucy is not humble and vice versa.
Everyone who is either not strong or brave is not creative and vice ver... | Fred is not happy. | contradiction | ((?[X]:((wise(X)|~funny(X))))<=>(?[X]:((happy(X)|~happy(X)))))&
((?[X]:((happy(X)<~>humble(X))))<=>((calm(lucy)<~>~funny(lucy))))&
(((~calm(susan)&rich(susan)))<=>(~humble(lucy)))&
(![X]:((~strong(X)<~>brave(X))<=>~creative(X)))&
((?[X]:((~wise(X)&wise(X))))<=>((~old(alice)|~funny(alice))))&
((?[X]:((~humble(X)<~>creat... | ~happy(fred) | [
"p11",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 6558109145347606294815034
% SZS output start Proof for 6558109145347606294815034
12. ! [X0] : ((strong(X0) | curious(X0)) => (~tall(X0) & happy(X0))) [input p11]
23. curious(fred) [input p22]
24. ~happy(fred) [input hypothesis]
32. ! [X0] : ((~tall(X0) & happy(X0)) | (~strong(X0) & ~curio... | 0 |
If someone is rich then lucy is either not kind or not humble and vice versa.
Everyone who is not quiet is rich or curious and vice versa.
If someone is generous then someone is either wise or rich and vice versa.
If someone is wise then paul is both not strong and kind and vice versa.
Everyone who is happy is either n... | Alice is curious. | contradiction | ((?[X]:(rich(X)))<=>((~kind(lucy)<~>~humble(lucy))))&
(![X]:(~quiet(X)<=>(rich(X)|curious(X))))&
((?[X]:(generous(X)))<=>(?[X]:((wise(X)<~>rich(X)))))&
((?[X]:(wise(X)))<=>((~strong(paul)&kind(paul))))&
(![X]:(happy(X)=>(~rich(X)<~>creative(X))))&
(((~generous(mary)&brave(mary)))=>((calm(paul)<~>happy(paul))))&
(![X]:(... | curious(alice) | [
"p1",
"p2",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7690700477379140298327882
% SZS output start Proof for 7690700477379140298327882
2. ! [X0] : (~quiet(X0) <=> (curious(X0) | rich(X0))) [input p1]
3. ? [X0] : generous(X0) <=> ? [X0] : (wise(X0) <~> rich(X0)) [input p2]
7. ! [X0] : ((rich(X0) | ~generous(X0)) <=> (~patient(X0) <~> patient(... | 0 |
If lucy is not quiet or generous then mary is either generous or not rich.
Everyone who is not calm is not happy or not quiet and vice versa.
Everyone who is not happy is not funny or tall and vice versa.
Everyone who is not strong is both not calm and brave.
If someone is brave then someone is not humble and vice vers... | Mary is not happy. | entailment | (((~quiet(lucy)|generous(lucy)))=>((generous(mary)<~>~rich(mary))))&
(![X]:(~calm(X)<=>(~happy(X)|~quiet(X))))&
(![X]:(~happy(X)<=>(~funny(X)|tall(X))))&
(![X]:(~strong(X)=>(~calm(X)&brave(X))))&
((?[X]:(brave(X)))<=>(?[X]:(~humble(X))))&
(![X]:((strong(X)|~rich(X))=>(humble(X)|~rich(X))))&
(![X]:((~generous(X)&~wise(X... | ~happy(mary) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7469561571240689141842109
% SZS output start Proof for 7469561571240689141842109
3. ! [X0] : (~happy(X0) <=> (tall(X0) | ~funny(X0))) [input p2]
10. ? [X0] : ~tall(X0) <=> (patient(john) & ~patient(john)) [input p9]
25. happy(mary) [input hypothesis]
44. ! [X0] : ((~happy(X0) | (~tall(X0)... | 0 |
If someone is not calm then someone is not rich and vice versa.
Everyone who is not strong is both not happy and not rich and vice versa.
Everyone who is either calm or strong is both not old and old and vice versa.
Everyone who is both not quiet and brave is brave or not happy and vice versa.
If someone is either not ... | Paul is not kind. | entailment | ((?[X]:(~calm(X)))<=>(?[X]:(~rich(X))))&
(![X]:(~strong(X)<=>(~happy(X)&~rich(X))))&
(![X]:((calm(X)<~>strong(X))<=>(~old(X)&old(X))))&
(![X]:((~quiet(X)&brave(X))<=>(brave(X)|~happy(X))))&
((?[X]:((~old(X)<~>generous(X))))=>(?[X]:((humble(X)<~>~calm(X)))))&
(![X]:((~happy(X)&quiet(X))=>kind(X)))&
(((generous(paul)&~pa... | ~kind(paul) | [
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5777951559665738469957949
% SZS output start Proof for 5777951559665738469957949
14. ? [X0] : ~funny(X0) <=> ~kind(paul) [input p13]
21. ? [X0] : (kind(X0) & ~funny(X0)) [input p20]
25. kind(paul) [input hypothesis]
67. (? [X0] : ~funny(X0) | kind(paul)) & (~kind(paul) | ! [X0] : funny(X0... | 0 |
If lucy is both not brave and not curious then someone is happy or calm.
Everyone who is either creative or not curious is not creative or happy.
Everyone who is either humble or not quiet is not patient or not curious and vice versa.
Everyone who is both not happy and wise is both strong and rich and vice versa.
Every... | Alice is not rich. | neutral | (((~brave(lucy)&~curious(lucy)))=>(?[X]:((happy(X)|calm(X)))))&
(![X]:((creative(X)<~>~curious(X))=>(~creative(X)|happy(X))))&
(![X]:((humble(X)<~>~quiet(X))<=>(~patient(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(strong(X)&rich(X))))&
(![X]:(~old(X)<=>(kind(X)|~generous(X))))&
((?[X]:(old(X)))<=>((~brave(alice)&f... | ~rich(alice) | [] | null | 0 |
If someone is both generous and happy then fred is funny or tall.
Everyone who is humble is not generous and vice versa.
If alice is not generous then someone is either curious or not creative.
Everyone who is both not funny and not curious is either not generous or rich.
Everyone who is old or tall is wise or not calm... | Fred is not tall. | neutral | ((?[X]:((generous(X)&happy(X))))=>((funny(fred)|tall(fred))))&
(![X]:(humble(X)<=>~generous(X)))&
((~generous(alice))=>(?[X]:((curious(X)<~>~creative(X)))))&
(![X]:((~funny(X)&~curious(X))=>(~generous(X)<~>rich(X))))&
(![X]:((old(X)|tall(X))=>(wise(X)|~calm(X))))&
(((old(alice)|~kind(alice)))<=>(?[X]:((quiet(X)&funny(X... | ~tall(fred) | [] | null | 0 |
Everyone who is both not creative and happy is not tall. Everyone who is calm is strong or not brave and vice versa. Everyone who is not brave or happy is not kind or not curious and vice versa. Everyone who is not generous or rich is both not strong and not calm. If someone is both wise and not old then fred is curiou... | Susan is rich. | entailment | (![X]:((~creative(X)&happy(X))=>~tall(X)))&
(![X]:(calm(X)<=>(strong(X)|~brave(X))))&
(![X]:((~brave(X)|happy(X))<=>(~kind(X)|~curious(X))))&
(![X]:((~generous(X)|rich(X))=>(~strong(X)&~calm(X))))&
((?[X]:((wise(X)&~old(X))))<=>((curious(fred)|~brave(fred))))&
(![X]:((happy(X)&~old(X))=>(patient(X)|~old(X))))&
(((wise(... | rich(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 1654839153426633353835278
% SZS output start Proof for 1654839153426633353835278
12. ! [X0] : ((rich(X0) & patient(X0)) <=> (~strong(X0) | strong(X0))) [input p11]
23. ~rich(susan) [input hypothesis]
51. ! [X0] : (((rich(X0) & patient(X0)) | (strong(X0) & ~strong(X0))) & ((~strong(X0) | s... | 0 |
Everyone who is either humble or happy is either not wise or wise.
If someone is either creative or not funny then john is kind and vice versa.
Everyone who is strong or quiet is not strong.
If someone is funny then lucy is both happy and not humble and vice versa.
If someone is either not generous or not quiet then fr... | Fred is curious. | neutral | (![X]:((humble(X)<~>happy(X))=>(~wise(X)<~>wise(X))))&
((?[X]:((creative(X)<~>~funny(X))))<=>(kind(john)))&
(![X]:((strong(X)|quiet(X))=>~strong(X)))&
((?[X]:(funny(X)))<=>((happy(lucy)&~humble(lucy))))&
((?[X]:((~generous(X)<~>~quiet(X))))<=>((~curious(fred)&~quiet(fred))))&
(((~old(john)<~>~rich(john)))<=>(?[X]:((qui... | curious(fred) | [] | null | 0 |
Everyone who is both curious and not quiet is not happy.
Everyone who is either wise or humble is both not rich and tall and vice versa.
Everyone who is either humble or not strong is both not tall and happy.
If someone is not tall then paul is not brave.
Everyone who is not rich is either not tall or strong and vice v... | Mary is old. | neutral | (![X]:((curious(X)&~quiet(X))=>~happy(X)))&
(![X]:((wise(X)<~>humble(X))<=>(~rich(X)&tall(X))))&
(![X]:((humble(X)<~>~strong(X))=>(~tall(X)&happy(X))))&
((?[X]:(~tall(X)))=>(~brave(paul)))&
(![X]:(~rich(X)<=>(~tall(X)<~>strong(X))))&
((?[X]:((strong(X)<~>~old(X))))=>(?[X]:((~kind(X)<~>calm(X)))))&
(![X]:(tall(X)=>(~tal... | old(mary) | [] | null | 0 |
Everyone who is either rich or tall is either not creative or creative and vice versa.
Everyone who is not kind or not humble is rich.
Everyone who is happy is both quiet and not calm and vice versa.
If someone is kind then john is both creative and not patient and vice versa.
Everyone who is not old is brave or not ta... | Alice is funny. | neutral | (![X]:((rich(X)<~>tall(X))<=>(~creative(X)<~>creative(X))))&
(![X]:((~kind(X)|~humble(X))=>rich(X)))&
(![X]:(happy(X)<=>(quiet(X)&~calm(X))))&
((?[X]:(kind(X)))<=>((creative(john)&~patient(john))))&
(![X]:(~old(X)=>(brave(X)|~tall(X))))&
((generous(john))=>((~tall(paul)|~kind(paul))))&
((?[X]:((wise(X)&~curious(X))))<=... | funny(alice) | [] | null | 0 |
Everyone who is either not patient or quiet is either old or not kind and vice versa.
Everyone who is strong or not rich is not patient or tall and vice versa.
Everyone who is not kind is both calm and funny and vice versa.
If someone is either kind or not tall then someone is either wise or brave.
Everyone who is pati... | Susan is happy. | entailment | (![X]:((~patient(X)<~>quiet(X))<=>(old(X)<~>~kind(X))))&
(![X]:((strong(X)|~rich(X))<=>(~patient(X)|tall(X))))&
(![X]:(~kind(X)<=>(calm(X)&funny(X))))&
((?[X]:((kind(X)<~>~tall(X))))=>(?[X]:((wise(X)<~>brave(X)))))&
(![X]:((patient(X)|generous(X))<=>(~rich(X)|~curious(X))))&
(![X]:((~rich(X)<~>funny(X))=>~brave(X)))&
(... | happy(susan) | [
"p8",
"p9",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1854851952871078409743904
% SZS output start Proof for 1854851952871078409743904
9. ? [X0] : (brave(X0) | ~wise(X0)) => (~tall(susan) & happy(susan)) [input p8]
10. ! [X0] : ((~calm(X0) | brave(X0)) => (brave(X0) & humble(X0))) [input p9]
23. ~calm(lucy) & ~creative(lucy) [input p22]
24. ... | 0 |
Everyone who is either not generous or not tall is not wise or not generous and vice versa. If mary is both not patient and brave then fred is either not tall or tall. If someone is either not old or not happy then someone is both calm and old. Everyone who is old is strong. Everyone who is tall is both funny and not t... | Paul is not old. | entailment | (![X]:((~generous(X)<~>~tall(X))<=>(~wise(X)|~generous(X))))&
(((~patient(mary)&brave(mary)))=>((~tall(fred)<~>tall(fred))))&
((?[X]:((~old(X)<~>~happy(X))))=>(?[X]:((calm(X)&old(X)))))&
(![X]:(old(X)=>strong(X)))&
(![X]:(tall(X)=>(funny(X)&~tall(X))))&
((?[X]:(rich(X)))<=>(?[X]:((old(X)|calm(X)))))&
((?[X]:((~patient(... | ~old(paul) | [
"p3",
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 7991564633183389714326812
% SZS output start Proof for 7991564633183389714326812
4. ! [X0] : (old(X0) => strong(X0)) [input p3]
5. ! [X0] : (tall(X0) => (~tall(X0) & funny(X0))) [input p4]
8. ~strong(paul) <=> ? [X0] : (quiet(X0) | ~tall(X0)) [input p7]
23. old(paul) [input hypothesis]
31... | 0 |
If someone is both not kind and creative then someone is old or kind and vice versa.
If someone is either not patient or strong then someone is not humble.
Everyone who is not funny or happy is either not kind or strong.
Everyone who is both happy and tall is either not kind or old and vice versa.
Everyone who is not b... | Paul is calm. | entailment | ((?[X]:((~kind(X)&creative(X))))<=>(?[X]:((old(X)|kind(X)))))&
((?[X]:((~patient(X)<~>strong(X))))=>(?[X]:(~humble(X))))&
(![X]:((~funny(X)|happy(X))=>(~kind(X)<~>strong(X))))&
(![X]:((happy(X)&tall(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~brave(X)=>~calm(X)))&
(![X]:(tall(X)<=>(rich(X)|wise(X))))&
((?[X]:((humble(X)|quiet... | calm(paul) | [
"p0",
"p7",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6809100482193849936128464
% SZS output start Proof for 6809100482193849936128464
1. ? [X0] : (creative(X0) & ~kind(X0)) <=> ? [X0] : (kind(X0) | old(X0)) [input p0]
8. ! [X0] : ((~happy(X0) & calm(X0)) <=> (strong(X0) | brave(X0))) [input p7]
15. ? [X0] : creative(X0) <=> (rich(paul) & br... | 0 |
Everyone who is either not patient or not wise is not tall and vice versa.
If john is both not kind and not strong then lucy is either funny or calm and vice versa.
If mary is quiet or not humble then someone is not creative and vice versa.
If someone is brave or strong then someone is calm or not rich and vice versa.
... | Mary is humble. | contradiction | (![X]:((~patient(X)<~>~wise(X))<=>~tall(X)))&
(((~kind(john)&~strong(john)))<=>((funny(lucy)<~>calm(lucy))))&
(((quiet(mary)|~humble(mary)))<=>(?[X]:(~creative(X))))&
((?[X]:((brave(X)|strong(X))))<=>(?[X]:((calm(X)|~rich(X)))))&
(![X]:(generous(X)<=>(~calm(X)&generous(X))))&
(![X]:((patient(X)&~creative(X))<=>(tall(X)... | humble(mary) | [
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 883520870977779162687542
% SZS output start Proof for 883520870977779162687542
15. ! [X0] : ((creative(X0) | ~patient(X0)) <=> (~humble(X0) & ~tall(X0))) [input p14]
17. calm(mary) & creative(mary) [input p16]
23. humble(mary) [input hypothesis]
62. ! [X0] : (((creative(X0) | ~patient(X0)... | 0 |
If alice is not old then someone is either not generous or quiet. Everyone who is funny is kind or not humble and vice versa. If someone is not humble or calm then someone is both not happy and happy and vice versa. If fred is not patient then john is either not kind or creative and vice versa. Everyone who is either c... | John is not wise. | contradiction | ((~old(alice))=>(?[X]:((~generous(X)<~>quiet(X)))))&
(![X]:(funny(X)<=>(kind(X)|~humble(X))))&
((?[X]:((~humble(X)|calm(X))))<=>(?[X]:((~happy(X)&happy(X)))))&
((~patient(fred))<=>((~kind(john)<~>creative(john))))&
(![X]:((calm(X)<~>wise(X))<=>~kind(X)))&
(![X]:((humble(X)|~curious(X))=>(~happy(X)<~>generous(X))))&
(![... | ~wise(john) | [
"p2",
"p5",
"p7",
"p10",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 448411732587885505373729
% SZS output start Proof for 448411732587885505373729
3. ? [X0] : (calm(X0) | ~humble(X0)) <=> ? [X0] : (happy(X0) & ~happy(X0)) [input p2]
6. ! [X0] : ((~curious(X0) | humble(X0)) => (~happy(X0) <~> generous(X0))) [input p5]
8. ! [X0] : ((~strong(X0) <~> ~creativ... | 0 |
If fred is funny or creative then mary is happy.
If someone is tall then john is patient or not rich.
Everyone who is either curious or not creative is both not rich and brave and vice versa.
Everyone who is not creative or tall is both not strong and creative.
If mary is creative or not strong then someone is either n... | Lucy is not humble. | entailment | (((funny(fred)|creative(fred)))=>(happy(mary)))&
((?[X]:(tall(X)))=>((patient(john)|~rich(john))))&
(![X]:((curious(X)<~>~creative(X))<=>(~rich(X)&brave(X))))&
(![X]:((~creative(X)|tall(X))=>(~strong(X)&creative(X))))&
(((creative(mary)|~strong(mary)))<=>(?[X]:((~patient(X)<~>~calm(X)))))&
((?[X]:((creative(X)&~curious... | ~humble(lucy) | [
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 7230912223398051335828204
% SZS output start Proof for 7230912223398051335828204
4. ! [X0] : ((tall(X0) | ~creative(X0)) => (creative(X0) & ~strong(X0))) [input p3]
12. (~generous(lucy) | humble(lucy)) => (~old(fred) & ~creative(fred)) [input p11]
25. humble(lucy) [input hypothesis]
31. !... | 0 |
Everyone who is not brave is not old. Everyone who is both brave and calm is both patient and generous and vice versa. Everyone who is old is not wise or happy and vice versa. Everyone who is not generous or not quiet is both strong and not humble and vice versa. Everyone who is not quiet or tall is either not brave or... | John is not calm. | neutral | (![X]:(~brave(X)=>~old(X)))&
(![X]:((brave(X)&calm(X))<=>(patient(X)&generous(X))))&
(![X]:(old(X)<=>(~wise(X)|happy(X))))&
(![X]:((~generous(X)|~quiet(X))<=>(strong(X)&~humble(X))))&
(![X]:((~quiet(X)|tall(X))<=>(~brave(X)<~>~strong(X))))&
(![X]:((~quiet(X)|rich(X))=>(~rich(X)&kind(X))))&
((?[X]:((~strong(X)&~rich(X))... | ~calm(john) | [] | null | 0 |
If lucy is not humble or calm then someone is tall or patient. If lucy is either humble or generous then susan is either not wise or tall. Everyone who is not old or old is either not strong or tall. If someone is both generous and not tall then susan is tall or not kind and vice versa. If john is both kind and strong ... | John is strong. | neutral | (((~humble(lucy)|calm(lucy)))=>(?[X]:((tall(X)|patient(X)))))&
(((humble(lucy)<~>generous(lucy)))=>((~wise(susan)<~>tall(susan))))&
(![X]:((~old(X)|old(X))=>(~strong(X)<~>tall(X))))&
((?[X]:((generous(X)&~tall(X))))<=>((tall(susan)|~kind(susan))))&
(((kind(john)&strong(john)))<=>((~funny(lucy)<~>strong(lucy))))&
(![X]:... | strong(john) | [] | null | 0 |
Everyone who is either not patient or not rich is both not curious and strong and vice versa. If someone is both generous and patient then susan is either patient or old and vice versa. If susan is kind then someone is rich or wise and vice versa. Everyone who is not kind is either not generous or wise. Everyone who is... | Alice is rich. | neutral | (![X]:((~patient(X)<~>~rich(X))<=>(~curious(X)&strong(X))))&
((?[X]:((generous(X)&patient(X))))<=>((patient(susan)<~>old(susan))))&
((kind(susan))<=>(?[X]:((rich(X)|wise(X)))))&
(![X]:(~kind(X)=>(~generous(X)<~>wise(X))))&
(![X]:(patient(X)=>(~wise(X)<~>strong(X))))&
(![X]:((rich(X)|patient(X))<=>(wise(X)&~patient(X)))... | rich(alice) | [] | null | 0 |
Everyone who is wise or patient is both patient and not brave and vice versa.
If mary is either not creative or not generous then someone is both kind and patient.
Everyone who is funny or not old is both not rich and patient.
Everyone who is funny or not curious is patient or quiet and vice versa.
Everyone who is eith... | Susan is not tall. | neutral | (![X]:((wise(X)|patient(X))<=>(patient(X)&~brave(X))))&
(((~creative(mary)<~>~generous(mary)))=>(?[X]:((kind(X)&patient(X)))))&
(![X]:((funny(X)|~old(X))=>(~rich(X)&patient(X))))&
(![X]:((funny(X)|~curious(X))<=>(patient(X)|quiet(X))))&
(![X]:((~patient(X)<~>happy(X))<=>old(X)))&
((?[X]:((~kind(X)&~brave(X))))=>(?[X]:(... | ~tall(susan) | [] | null | 0 |
Everyone who is not strong or not curious is either not curious or not quiet.
Everyone who is both not quiet and not rich is funny and vice versa.
Everyone who is quiet or generous is old or not curious and vice versa.
Everyone who is patient is either not wise or not patient and vice versa.
If susan is both strong and... | Susan is brave. | neutral | (![X]:((~strong(X)|~curious(X))=>(~curious(X)<~>~quiet(X))))&
(![X]:((~quiet(X)&~rich(X))<=>funny(X)))&
(![X]:((quiet(X)|generous(X))<=>(old(X)|~curious(X))))&
(![X]:(patient(X)<=>(~wise(X)<~>~patient(X))))&
(((strong(susan)&brave(susan)))=>((funny(john)|~quiet(john))))&
(((quiet(john)|~old(john)))<=>((~creative(lucy)&... | brave(susan) | [] | null | 0 |
Everyone who is either not brave or tall is humble or not quiet. Everyone who is both funny and not calm is not kind. Everyone who is generous is either not strong or not patient. Everyone who is both generous and kind is either not old or not creative. Everyone who is both not strong and calm is generous or not brave ... | Lucy is brave. | entailment | (![X]:((~brave(X)<~>tall(X))=>(humble(X)|~quiet(X))))&
(![X]:((funny(X)&~calm(X))=>~kind(X)))&
(![X]:(generous(X)=>(~strong(X)<~>~patient(X))))&
(![X]:((generous(X)&kind(X))=>(~old(X)<~>~creative(X))))&
(![X]:((~strong(X)&calm(X))<=>(generous(X)|~brave(X))))&
(((brave(paul)|strong(paul)))=>((tall(susan)|~calm(susan))))... | brave(lucy) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3888111683982568374468123
% SZS output start Proof for 3888111683982568374468123
5. ! [X0] : ((calm(X0) & ~strong(X0)) <=> (~brave(X0) | generous(X0))) [input p4]
10. ! [X0] : ((happy(X0) <~> ~happy(X0)) => (strong(X0) & ~funny(X0))) [input p9]
23. ~brave(lucy) [input hypothesis]
32. ! [X... | 0 |
If fred is either not quiet or not strong then someone is both not funny and humble and vice versa.
Everyone who is both strong and not patient is calm or patient and vice versa.
If someone is not happy then someone is creative and vice versa.
Everyone who is both not strong and not quiet is not generous and vice versa... | Alice is generous. | entailment | (((~quiet(fred)<~>~strong(fred)))<=>(?[X]:((~funny(X)&humble(X)))))&
(![X]:((strong(X)&~patient(X))<=>(calm(X)|patient(X))))&
((?[X]:(~happy(X)))<=>(?[X]:(creative(X))))&
(![X]:((~strong(X)&~quiet(X))<=>~generous(X)))&
((?[X]:((~curious(X)|~strong(X))))<=>((generous(fred)<~>~funny(fred))))&
((?[X]:((~funny(X)<~>~brave(... | generous(alice) | [
"p1",
"p3",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8336526292359435701522648
% SZS output start Proof for 8336526292359435701522648
2. ! [X0] : ((~patient(X0) & strong(X0)) <=> (patient(X0) | calm(X0))) [input p1]
4. ! [X0] : ((~quiet(X0) & ~strong(X0)) <=> ~generous(X0)) [input p3]
16. ! [X0] : ((wise(X0) | ~strong(X0)) <=> patient(X0)) ... | 0 |
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