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 generous or creative is not old and vice versa.
If someone is humble then paul is either curious or not wise and vice versa.
If john is either funny or not calm then susan is not quiet or kind and vice versa.
Everyone who is not calm is rich.
If someone is curious or not calm then someone is ... | Paul is patient. | contradiction | (![X]:((~generous(X)<~>creative(X))<=>~old(X)))&
((?[X]:(humble(X)))<=>((curious(paul)<~>~wise(paul))))&
(((funny(john)<~>~calm(john)))<=>((~quiet(susan)|kind(susan))))&
(![X]:(~calm(X)=>rich(X)))&
((?[X]:((curious(X)|~calm(X))))=>(?[X]:((~tall(X)&brave(X)))))&
(((strong(fred)|generous(fred)))=>(?[X]:((creative(X)|~cre... | patient(paul) | [
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4946427915117630749714551
% SZS output start Proof for 4946427915117630749714551
15. ! [X0] : ((~generous(X0) | generous(X0)) <=> (curious(X0) & ~quiet(X0))) [input p14]
22. ~patient(paul) | quiet(paul) [input p21]
24. patient(paul) [input hypothesis]
67. ! [X0] : (((~generous(X0) | gener... | 0 |
If fred is either not tall or not old then someone is not old.
Everyone who is both not tall and not wise is creative and vice versa.
If someone is either quiet or happy then lucy is wise or not wise.
If someone is both rich and happy then paul is not brave.
If alice is not quiet then lucy is wise or creative.
If someo... | Mary is not funny. | contradiction | (((~tall(fred)<~>~old(fred)))=>(?[X]:(~old(X))))&
(![X]:((~tall(X)&~wise(X))<=>creative(X)))&
((?[X]:((quiet(X)<~>happy(X))))=>((wise(lucy)|~wise(lucy))))&
((?[X]:((rich(X)&happy(X))))=>(~brave(paul)))&
((~quiet(alice))=>((wise(lucy)|creative(lucy))))&
((?[X]:(calm(X)))<=>(~patient(alice)))&
((?[X]:(~old(X)))=>((happy(... | ~funny(mary) | [
"p9",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2940128087317549371367269
% SZS output start Proof for 2940128087317549371367269
10. ! [X0] : (~brave(X0) <=> (~old(X0) | ~happy(X0))) [input p9]
11. ! [X0] : ((patient(X0) | ~brave(X0)) => (funny(X0) & tall(X0))) [input p10]
13. ? [X0] : old(X0) => ~old(mary) [input p12]
21. ? [X0] : (~f... | 0 |
If someone is not wise or curious then lucy is rich.
If someone is strong or not calm then alice is rich or generous and vice versa.
Everyone who is either not rich or happy is not tall or not kind and vice versa.
Everyone who is old or not old is both not kind and not happy.
If paul is both happy and not quiet then ma... | Susan is creative. | entailment | ((?[X]:((~wise(X)|curious(X))))=>(rich(lucy)))&
((?[X]:((strong(X)|~calm(X))))<=>((rich(alice)|generous(alice))))&
(![X]:((~rich(X)<~>happy(X))<=>(~tall(X)|~kind(X))))&
(![X]:((old(X)|~old(X))=>(~kind(X)&~happy(X))))&
(((happy(paul)&~quiet(paul)))=>((brave(mary)|wise(mary))))&
(![X]:((creative(X)&generous(X))=>curious(... | creative(susan) | [
"p0",
"p2",
"p3",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7994117264647590266121549
% SZS output start Proof for 7994117264647590266121549
1. ? [X0] : (curious(X0) | ~wise(X0)) => rich(lucy) [input p0]
3. ! [X0] : ((~rich(X0) <~> happy(X0)) <=> (~kind(X0) | ~tall(X0))) [input p2]
4. ! [X0] : ((~old(X0) | old(X0)) => (~happy(X0) & ~kind(X0))) [in... | 0 |
If someone is not wise or calm then someone is creative.
Everyone who is wise is not happy or calm and vice versa.
Everyone who is either not kind or not happy is either not quiet or old and vice versa.
If someone is not old then susan is not funny.
If mary is patient then someone is not calm and vice versa.
If john is... | Mary is kind. | neutral | ((?[X]:((~wise(X)|calm(X))))=>(?[X]:(creative(X))))&
(![X]:(wise(X)<=>(~happy(X)|calm(X))))&
(![X]:((~kind(X)<~>~happy(X))<=>(~quiet(X)<~>old(X))))&
((?[X]:(~old(X)))=>(~funny(susan)))&
((patient(mary))<=>(?[X]:(~calm(X))))&
(((~happy(john)<~>rich(john)))<=>(?[X]:((old(X)|~strong(X)))))&
(![X]:((~quiet(X)|~happy(X))<=>... | kind(mary) | [] | null | 0 |
If someone is not brave or not quiet then paul is both brave and not old and vice versa. Everyone who is either not wise or not quiet is both not curious and not strong and vice versa. If someone is tall then someone is quiet or not rich. If someone is both not humble and not quiet then mary is not kind and vice versa.... | Mary is kind. | entailment | ((?[X]:((~brave(X)|~quiet(X))))<=>((brave(paul)&~old(paul))))&
(![X]:((~wise(X)<~>~quiet(X))<=>(~curious(X)&~strong(X))))&
((?[X]:(tall(X)))=>(?[X]:((quiet(X)|~rich(X)))))&
((?[X]:((~humble(X)&~quiet(X))))<=>(~kind(mary)))&
(![X]:(wise(X)=>(rich(X)<~>~curious(X))))&
((?[X]:((humble(X)|~calm(X))))<=>(humble(fred)))&
(![... | kind(mary) | [
"p0",
"p3",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8104078331292389177338297
% SZS output start Proof for 8104078331292389177338297
1. ? [X0] : (~quiet(X0) | ~brave(X0)) <=> (~old(paul) & brave(paul)) [input p0]
4. ? [X0] : (~quiet(X0) & ~humble(X0)) <=> ~kind(mary) [input p3]
10. ! [X0] : (~happy(X0) => (~curious(X0) & happy(X0))) [input... | 0 |
If someone is not funny or rich then someone is either not generous or brave and vice versa. If someone is both old and not creative then someone is both quiet and happy and vice versa. Everyone who is old or quiet is either kind or creative and vice versa. Everyone who is patient or not quiet is both creative and not ... | Susan is tall. | contradiction | ((?[X]:((~funny(X)|rich(X))))<=>(?[X]:((~generous(X)<~>brave(X)))))&
((?[X]:((old(X)&~creative(X))))<=>(?[X]:((quiet(X)&happy(X)))))&
(![X]:((old(X)|quiet(X))<=>(kind(X)<~>creative(X))))&
(![X]:((patient(X)|~quiet(X))<=>(creative(X)&~quiet(X))))&
((?[X]:((humble(X)<~>~calm(X))))=>(~humble(mary)))&
(![X]:((~happy(X)|~cu... | tall(susan) | [
"p2",
"p3",
"p5",
"p6",
"p8",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7307353253283452214849558
% SZS output start Proof for 7307353253283452214849558
3. ! [X0] : ((quiet(X0) | old(X0)) <=> (kind(X0) <~> creative(X0))) [input p2]
4. ! [X0] : ((~quiet(X0) | patient(X0)) <=> (~quiet(X0) & creative(X0))) [input p3]
6. ! [X0] : ((~curious(X0) | ~happy(X0)) <=> ... | 0 |
Everyone who is not generous is not curious and vice versa.
If susan is not tall then someone is tall or not old and vice versa.
If john is not curious or not creative then someone is either generous or tall and vice versa.
Everyone who is patient or not rich is not brave or not curious and vice versa.
If someone is ca... | Paul is not funny. | neutral | (![X]:(~generous(X)<=>~curious(X)))&
((~tall(susan))<=>(?[X]:((tall(X)|~old(X)))))&
(((~curious(john)|~creative(john)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(![X]:((patient(X)|~rich(X))<=>(~brave(X)|~curious(X))))&
((?[X]:((calm(X)|wise(X))))=>(?[X]:((brave(X)<~>curious(X)))))&
(![X]:((strong(X)|~creative(X))<=>(~creat... | ~funny(paul) | [] | null | 0 |
Everyone who is either generous or not rich is both quiet and not tall. If someone is humble or not funny then alice is not humble or patient and vice versa. Everyone who is both not funny and not curious is not tall and vice versa. Everyone who is not curious is both generous and not kind and vice versa. Everyone who ... | Alice is not wise. | neutral | (![X]:((generous(X)<~>~rich(X))=>(quiet(X)&~tall(X))))&
((?[X]:((humble(X)|~funny(X))))<=>((~humble(alice)|patient(alice))))&
(![X]:((~funny(X)&~curious(X))<=>~tall(X)))&
(![X]:(~curious(X)<=>(generous(X)&~kind(X))))&
(![X]:(~brave(X)=>(quiet(X)&humble(X))))&
(![X]:((~quiet(X)&quiet(X))<=>(~humble(X)|kind(X))))&
((?[X]... | ~wise(alice) | [] | null | 0 |
Everyone who is both curious and humble is both not creative and happy and vice versa. Everyone who is either not happy or humble is either not rich or not kind and vice versa. Everyone who is not humble or not old is both generous and not rich and vice versa. If john is generous or quiet then someone is both wise and ... | Alice is not generous. | contradiction | (![X]:((curious(X)&humble(X))<=>(~creative(X)&happy(X))))&
(![X]:((~happy(X)<~>humble(X))<=>(~rich(X)<~>~kind(X))))&
(![X]:((~humble(X)|~old(X))<=>(generous(X)&~rich(X))))&
(((generous(john)|quiet(john)))=>(?[X]:((wise(X)&~kind(X)))))&
(((tall(alice)&~curious(alice)))=>(?[X]:((calm(X)|brave(X)))))&
(((~rich(john)<~>~ki... | ~generous(alice) | [
"p1",
"p2",
"p6",
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4494838556104956117123387
% SZS output start Proof for 4494838556104956117123387
2. ! [X0] : ((~happy(X0) <~> humble(X0)) <=> (~rich(X0) <~> ~kind(X0))) [input p1]
3. ! [X0] : ((~old(X0) | ~humble(X0)) <=> (~rich(X0) & generous(X0))) [input p2]
7. (~rich(mary) | ~generous(mary)) <=> (gene... | 0 |
Everyone who is either creative or not strong is either funny or not old.
If fred is both happy and not happy then someone is not quiet or rich.
Everyone who is both brave and not brave is either not patient or not happy and vice versa.
Everyone who is either not brave or tall is funny.
Everyone who is either not happy... | John is patient. | entailment | (![X]:((creative(X)<~>~strong(X))=>(funny(X)<~>~old(X))))&
(((happy(fred)&~happy(fred)))=>(?[X]:((~quiet(X)|rich(X)))))&
(![X]:((brave(X)&~brave(X))<=>(~patient(X)<~>~happy(X))))&
(![X]:((~brave(X)<~>tall(X))=>funny(X)))&
(![X]:((~happy(X)<~>strong(X))=>(~curious(X)|tall(X))))&
(![X]:((~quiet(X)&tall(X))<=>(old(X)<~>~h... | patient(john) | [
"p2",
"p5",
"p7",
"p8",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 361172679292740864297892
% SZS output start Proof for 361172679292740864297892
3. ! [X0] : ((~brave(X0) & brave(X0)) <=> (~patient(X0) <~> ~happy(X0))) [input p2]
6. ! [X0] : ((tall(X0) & ~quiet(X0)) <=> (old(X0) <~> ~happy(X0))) [input p5]
8. ! [X0] : (~tall(X0) <=> (brave(X0) | funny(X0... | 0 |
Everyone who is generous is both not calm and kind.
Everyone who is not curious is both not brave and not wise and vice versa.
If someone is both not rich and not strong then lucy is both not generous and quiet and vice versa.
Everyone who is either curious or generous is wise or tall and vice versa.
If someone is both... | Susan is not funny. | neutral | (![X]:(generous(X)=>(~calm(X)&kind(X))))&
(![X]:(~curious(X)<=>(~brave(X)&~wise(X))))&
((?[X]:((~rich(X)&~strong(X))))<=>((~generous(lucy)&quiet(lucy))))&
(![X]:((curious(X)<~>generous(X))<=>(wise(X)|tall(X))))&
((?[X]:((old(X)&~happy(X))))<=>((~curious(alice)|curious(alice))))&
(((patient(lucy)&kind(lucy)))<=>(?[X]:(w... | ~funny(susan) | [] | null | 0 |
If susan is not old then someone is either brave or generous and vice versa.
Everyone who is not humble or brave is not generous.
If someone is both patient and creative then someone is either not funny or patient and vice versa.
Everyone who is both not humble and not brave is rich or wise and vice versa.
Everyone who... | Paul is strong. | entailment | ((~old(susan))<=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:((~humble(X)|brave(X))=>~generous(X)))&
((?[X]:((patient(X)&creative(X))))<=>(?[X]:((~funny(X)<~>patient(X)))))&
(![X]:((~humble(X)&~brave(X))<=>(rich(X)|wise(X))))&
(![X]:(~kind(X)=>(~generous(X)<~>wise(X))))&
(![X]:(patient(X)=>(~wise(X)<~>strong(X))))&
(![X]... | strong(paul) | [
"p3",
"p4",
"p6",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3644191430441186401816976
% SZS output start Proof for 3644191430441186401816976
4. ! [X0] : ((~brave(X0) & ~humble(X0)) <=> (wise(X0) | rich(X0))) [input p3]
5. ! [X0] : (~kind(X0) => (~generous(X0) <~> wise(X0))) [input p4]
7. ! [X0] : ((patient(X0) | rich(X0)) <=> (~patient(X0) & wise(... | 0 |
If john is either creative or funny then someone is not kind or humble and vice versa. Everyone who is both not strong and wise is not happy or quiet and vice versa. Everyone who is both brave and not generous is not generous and vice versa. Everyone who is either old or kind is either not creative or funny and vice ve... | Susan is not old. | entailment | (((creative(john)<~>funny(john)))<=>(?[X]:((~kind(X)|humble(X)))))&
(![X]:((~strong(X)&wise(X))<=>(~happy(X)|quiet(X))))&
(![X]:((brave(X)&~generous(X))<=>~generous(X)))&
(![X]:((old(X)<~>kind(X))<=>(~creative(X)<~>funny(X))))&
(![X]:((patient(X)|strong(X))<=>(~funny(X)|~tall(X))))&
((old(mary))=>((~creative(fred)&~pat... | ~old(susan) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3058443375049479219771675
% SZS output start Proof for 3058443375049479219771675
8. ! [X0] : ((~patient(X0) | ~funny(X0)) <=> (~old(X0) & kind(X0))) [input p7]
10. ! [X0] : ((old(X0) | patient(X0)) => (~tall(X0) & ~funny(X0))) [input p9]
25. old(susan) [input hypothesis]
30. ! [X0] : ((~t... | 0 |
Everyone who is not brave is both quiet and not rich. If susan is not patient or not generous then mary is both not brave and creative. If susan is strong then someone is either old or rich and vice versa. If someone is brave or kind then mary is either patient or calm and vice versa. If someone is happy then paul is e... | Susan is not generous. | neutral | (![X]:(~brave(X)=>(quiet(X)&~rich(X))))&
(((~patient(susan)|~generous(susan)))=>((~brave(mary)&creative(mary))))&
((strong(susan))<=>(?[X]:((old(X)<~>rich(X)))))&
((?[X]:((brave(X)|kind(X))))<=>((patient(mary)<~>calm(mary))))&
((?[X]:(happy(X)))<=>((humble(paul)<~>~happy(paul))))&
(![X]:(old(X)=>(~happy(X)|generous(X))... | ~generous(susan) | [] | null | 0 |
If someone is funny then someone is not happy. Everyone who is not creative is generous and vice versa. Everyone who is wise or old is both not kind and not wise and vice versa. If lucy is both not brave and not tall then someone is both not funny and not quiet and vice versa. Everyone who is humble is both not calm an... | Susan is not funny. | entailment | ((?[X]:(funny(X)))=>(?[X]:(~happy(X))))&
(![X]:(~creative(X)<=>generous(X)))&
(![X]:((wise(X)|old(X))<=>(~kind(X)&~wise(X))))&
(((~brave(lucy)&~tall(lucy)))<=>(?[X]:((~funny(X)&~quiet(X)))))&
(![X]:(humble(X)=>(~calm(X)&~quiet(X))))&
((?[X]:((~rich(X)|happy(X))))<=>(quiet(susan)))&
(((~old(john)|strong(john)))=>(?[X]:(... | ~funny(susan) | [
"p2",
"p4",
"p5",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8626241033698881192506755
% SZS output start Proof for 8626241033698881192506755
3. ! [X0] : ((old(X0) | wise(X0)) <=> (~wise(X0) & ~kind(X0))) [input p2]
5. ! [X0] : (humble(X0) => (~quiet(X0) & ~calm(X0))) [input p4]
6. ? [X0] : (happy(X0) | ~rich(X0)) <=> quiet(susan) [input p5]
8. ! [... | 0 |
If someone is either generous or calm then someone is humble.
If alice is humble then someone is both not generous and funny.
If fred is either generous or not quiet then someone is brave.
Everyone who is not kind is both not wise and not strong and vice versa.
If mary is not calm then someone is not funny and vice ver... | Mary is not strong. | entailment | ((?[X]:((generous(X)<~>calm(X))))=>(?[X]:(humble(X))))&
((humble(alice))=>(?[X]:((~generous(X)&funny(X)))))&
(((generous(fred)<~>~quiet(fred)))=>(?[X]:(brave(X))))&
(![X]:(~kind(X)<=>(~wise(X)&~strong(X))))&
((~calm(mary))<=>(?[X]:(~funny(X))))&
(![X]:((~funny(X)<~>~wise(X))<=>(~kind(X)&happy(X))))&
(![X]:((happy(X)|st... | ~strong(mary) | [
"p6",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 1388584869205981862715964
% SZS output start Proof for 1388584869205981862715964
7. ! [X0] : ((strong(X0) | happy(X0)) <=> happy(X0)) [input p6]
13. ! [X0] : ((~patient(X0) <~> ~happy(X0)) <=> patient(X0)) [input p12]
25. strong(mary) [input hypothesis]
52. ! [X0] : (((strong(X0) | happy(... | 0 |
If fred is both not happy and not rich then someone is tall or not funny. Everyone who is not old is not curious. If alice is either calm or quiet then susan is not funny or not strong. Everyone who is both not rich and quiet is both not funny and old and vice versa. Everyone who is quiet is either happy or not quiet a... | Alice is generous. | entailment | (((~happy(fred)&~rich(fred)))=>(?[X]:((tall(X)|~funny(X)))))&
(![X]:(~old(X)=>~curious(X)))&
(((calm(alice)<~>quiet(alice)))=>((~funny(susan)|~strong(susan))))&
(![X]:((~rich(X)&quiet(X))<=>(~funny(X)&old(X))))&
(![X]:(quiet(X)<=>(happy(X)<~>~quiet(X))))&
(((~brave(mary)|~funny(mary)))=>((creative(lucy)<~>wise(lucy))))... | generous(alice) | [
"p4",
"p6",
"p7",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3982766723664541726247247
% SZS output start Proof for 3982766723664541726247247
5. ! [X0] : (quiet(X0) <=> (happy(X0) <~> ~quiet(X0))) [input p4]
7. ! [X0] : ((~kind(X0) | brave(X0)) <=> (happy(X0) <~> ~tall(X0))) [input p6]
8. ! [X0] : ((~old(X0) & ~tall(X0)) <=> (~wise(X0) <~> ~brave(X... | 0 |
If susan is both happy and not wise then alice is happy.
Everyone who is not strong or not quiet is old.
If someone is not generous then alice is tall or humble.
If someone is not happy then someone is both not generous and not humble.
If someone is both brave and not humble then someone is humble and vice versa.
If jo... | Lucy is not brave. | contradiction | (((happy(susan)&~wise(susan)))=>(happy(alice)))&
(![X]:((~strong(X)|~quiet(X))=>old(X)))&
((?[X]:(~generous(X)))=>((tall(alice)|humble(alice))))&
((?[X]:(~happy(X)))=>(?[X]:((~generous(X)&~humble(X)))))&
((?[X]:((brave(X)&~humble(X))))<=>(?[X]:(humble(X))))&
(((~quiet(john)|~brave(john)))<=>((brave(lucy)&calm(lucy))))&... | ~brave(lucy) | [
"p11",
"p12",
"p13",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6271705902866152437462434
% SZS output start Proof for 6271705902866152437462434
12. ! [X0] : ((strong(X0) & quiet(X0)) <=> (quiet(X0) | patient(X0))) [input p11]
13. ! [X0] : ((wise(X0) | curious(X0)) => patient(X0)) [input p12]
14. ! [X0] : ((patient(X0) <~> brave(X0)) => (~strong(X0) &... | 0 |
If lucy is creative then someone is not happy and vice versa. If someone is wise or calm then someone is both generous and not kind and vice versa. If mary is rich then alice is both not curious and not calm. If someone is calm or creative then someone is both brave and not calm. If someone is both not rich and not str... | Mary is rich. | contradiction | ((creative(lucy))<=>(?[X]:(~happy(X))))&
((?[X]:((wise(X)|calm(X))))<=>(?[X]:((generous(X)&~kind(X)))))&
((rich(mary))=>((~curious(alice)&~calm(alice))))&
((?[X]:((calm(X)|creative(X))))=>(?[X]:((brave(X)&~calm(X)))))&
((?[X]:((~rich(X)&~strong(X))))=>(?[X]:((funny(X)<~>~humble(X)))))&
(![X]:(~kind(X)=>(strong(X)&~happ... | rich(mary) | [
"p1",
"p5",
"p11",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3078348970630659192412219
% SZS output start Proof for 3078348970630659192412219
2. ? [X0] : (calm(X0) | wise(X0)) <=> ? [X0] : (~kind(X0) & generous(X0)) [input p1]
6. ! [X0] : (~kind(X0) => (~happy(X0) & strong(X0))) [input p5]
12. ! [X0] : ((~humble(X0) <~> ~quiet(X0)) <=> (~humble(X0)... | 0 |
Everyone who is not creative or not funny is kind and vice versa. If someone is quiet or happy then lucy is either calm or old. Everyone who is not quiet or not old is both kind and not tall and vice versa. If mary is tall or creative then someone is not generous or curious and vice versa. If fred is not old or strong ... | Fred is not wise. | entailment | (![X]:((~creative(X)|~funny(X))<=>kind(X)))&
((?[X]:((quiet(X)|happy(X))))=>((calm(lucy)<~>old(lucy))))&
(![X]:((~quiet(X)|~old(X))<=>(kind(X)&~tall(X))))&
(((tall(mary)|creative(mary)))<=>(?[X]:((~generous(X)|curious(X)))))&
(((~old(fred)|strong(fred)))<=>(?[X]:((~rich(X)|curious(X)))))&
(![X]:((generous(X)|~humble(X)... | ~wise(fred) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 205546604635074424614954
% SZS output start Proof for 205546604635074424614954
22. ~wise(fred) & ~happy(fred) [input p21]
25. wise(fred) [input hypothesis]
145. ~wise(fred) [cnf transformation 22]
149. wise(fred) [cnf transformation 25]
333. $false [subsumption resolution 149,145]
% SZS o... | 0 |
Everyone who is both funny and not rich is both not funny and wise and vice versa.
If someone is tall or not wise then john is not creative or not strong and vice versa.
Everyone who is not happy or generous is strong or not tall and vice versa.
Everyone who is both humble and creative is both not calm and brave and vi... | Mary is creative. | neutral | (![X]:((funny(X)&~rich(X))<=>(~funny(X)&wise(X))))&
((?[X]:((tall(X)|~wise(X))))<=>((~creative(john)|~strong(john))))&
(![X]:((~happy(X)|generous(X))<=>(strong(X)|~tall(X))))&
(![X]:((humble(X)&creative(X))<=>(~calm(X)&brave(X))))&
((?[X]:((~funny(X)<~>~quiet(X))))<=>(?[X]:(calm(X))))&
((?[X]:(~brave(X)))<=>((brave(sus... | creative(mary) | [] | null | 0 |
Everyone who is both not brave and not generous is either not strong or generous.
If fred is not quiet or old then mary is quiet or humble.
Everyone who is tall is happy.
If fred is wise then susan is both not funny and not happy and vice versa.
Everyone who is either not old or funny is either curious or patient and v... | Fred is not funny. | contradiction | (![X]:((~brave(X)&~generous(X))=>(~strong(X)<~>generous(X))))&
(((~quiet(fred)|old(fred)))=>((quiet(mary)|humble(mary))))&
(![X]:(tall(X)=>happy(X)))&
((wise(fred))<=>((~funny(susan)&~happy(susan))))&
(![X]:((~old(X)<~>funny(X))<=>(curious(X)<~>patient(X))))&
(((creative(lucy)|~quiet(lucy)))=>(generous(susan)))&
(![X]:... | ~funny(fred) | [
"p0",
"p6",
"p9",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8398220085863744029346833
% SZS output start Proof for 8398220085863744029346833
1. ! [X0] : ((~generous(X0) & ~brave(X0)) => (~strong(X0) <~> generous(X0))) [input p0]
7. ! [X0] : ((kind(X0) | ~kind(X0)) => (strong(X0) | humble(X0))) [input p6]
10. ! [X0] : ((creative(X0) & generous(X0))... | 0 |
Everyone who is either not calm or kind is either not curious or not humble and vice versa. If susan is both humble and quiet then mary is creative or kind and vice versa. Everyone who is either brave or not brave is both not strong and generous. Everyone who is both not old and not curious is not happy or curious and ... | Susan is strong. | contradiction | (![X]:((~calm(X)<~>kind(X))<=>(~curious(X)<~>~humble(X))))&
(((humble(susan)&quiet(susan)))<=>((creative(mary)|kind(mary))))&
(![X]:((brave(X)<~>~brave(X))=>(~strong(X)&generous(X))))&
(![X]:((~old(X)&~curious(X))<=>(~happy(X)|curious(X))))&
(![X]:((happy(X)<~>generous(X))=>(funny(X)<~>~patient(X))))&
((?[X]:((~kind(X)... | strong(susan) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 290733455650573008599279
% SZS output start Proof for 290733455650573008599279
3. ! [X0] : ((brave(X0) <~> ~brave(X0)) => (generous(X0) & ~strong(X0))) [input p2]
24. strong(susan) [input hypothesis]
26. ! [X0] : ((generous(X0) & ~strong(X0)) | (brave(X0) <=> ~brave(X0))) [ennf transforma... | 0 |
Everyone who is not calm is either not tall or not creative and vice versa.
If someone is not calm then someone is both old and not happy.
Everyone who is both patient and not calm is both not funny and not kind.
If paul is both quiet and not tall then someone is either kind or humble.
Everyone who is both not rich and... | Paul is not calm. | contradiction | (![X]:(~calm(X)<=>(~tall(X)<~>~creative(X))))&
((?[X]:(~calm(X)))=>(?[X]:((old(X)&~happy(X)))))&
(![X]:((patient(X)&~calm(X))=>(~funny(X)&~kind(X))))&
(((quiet(paul)&~tall(paul)))=>(?[X]:((kind(X)<~>humble(X)))))&
(![X]:((~rich(X)&~happy(X))<=>(~strong(X)<~>humble(X))))&
(![X]:((generous(X)|~happy(X))=>~happy(X)))&
((w... | ~calm(paul) | [
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5335678118387240664609102
% SZS output start Proof for 5335678118387240664609102
10. ~calm(paul) <=> ~curious(paul) [input p9]
12. ! [X0] : ((old(X0) | ~calm(X0)) <=> (~calm(X0) & curious(X0))) [input p11]
25. ~calm(paul) [input hypothesis]
57. (~calm(paul) | curious(paul)) & (~curious(pa... | 0 |
Everyone who is not quiet is not happy or not brave. Everyone who is not old is quiet or not old and vice versa. Everyone who is not rich or funny is not creative and vice versa. If someone is either funny or tall then alice is not patient. Everyone who is patient or kind is either not funny or kind. Everyone who is no... | Fred is tall. | neutral | (![X]:(~quiet(X)=>(~happy(X)|~brave(X))))&
(![X]:(~old(X)<=>(quiet(X)|~old(X))))&
(![X]:((~rich(X)|funny(X))<=>~creative(X)))&
((?[X]:((funny(X)<~>tall(X))))=>(~patient(alice)))&
(![X]:((patient(X)|kind(X))=>(~funny(X)<~>kind(X))))&
(![X]:(~strong(X)<=>kind(X)))&
(![X]:((~curious(X)|kind(X))=>brave(X)))&
((?[X]:(~funny... | tall(fred) | [] | null | 0 |
Everyone who is not curious or kind is rich or not creative and vice versa. If someone is funny then alice is not wise or happy. Everyone who is wise is either not kind or not wise and vice versa. Everyone who is either humble or not curious is both not wise and tall. If fred is both happy and not humble then someone i... | Susan is not patient. | neutral | (![X]:((~curious(X)|kind(X))<=>(rich(X)|~creative(X))))&
((?[X]:(funny(X)))=>((~wise(alice)|happy(alice))))&
(![X]:(wise(X)<=>(~kind(X)<~>~wise(X))))&
(![X]:((humble(X)<~>~curious(X))=>(~wise(X)&tall(X))))&
(((happy(fred)&~humble(fred)))=>(?[X]:((~old(X)&curious(X)))))&
((generous(lucy))<=>(?[X]:((~generous(X)<~>patien... | ~patient(susan) | [] | null | 0 |
Everyone who is both brave and not humble is both not generous and not old.
If lucy is both rich and quiet then someone is patient.
If paul is not generous then alice is either not happy or tall and vice versa.
Everyone who is either not rich or rich is both calm and not humble and vice versa.
If fred is either not cre... | Alice is tall. | entailment | (![X]:((brave(X)&~humble(X))=>(~generous(X)&~old(X))))&
(((rich(lucy)&quiet(lucy)))=>(?[X]:(patient(X))))&
((~generous(paul))<=>((~happy(alice)<~>tall(alice))))&
(![X]:((~rich(X)<~>rich(X))<=>(calm(X)&~humble(X))))&
(((~creative(fred)<~>~patient(fred)))<=>((humble(susan)<~>~generous(susan))))&
(((humble(john)|~generous... | tall(alice) | [
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8920371094171814837354732
% SZS output start Proof for 8920371094171814837354732
22. tall(alice) [input p21]
25. ~tall(alice) [input hypothesis]
137. tall(alice) [cnf transformation 22]
140. ~tall(alice) [cnf transformation 25]
166. 4 <=> tall(alice) [avatar definition]
268. 4 [avatar spl... | 0 |
Everyone who is either not curious or wise is either not funny or kind and vice versa. Everyone who is both not calm and creative is both not happy and not patient and vice versa. Everyone who is not tall or not calm is both not rich and strong and vice versa. Everyone who is either not old or creative is both not kind... | Lucy is not rich. | entailment | (![X]:((~curious(X)<~>wise(X))<=>(~funny(X)<~>kind(X))))&
(![X]:((~calm(X)&creative(X))<=>(~happy(X)&~patient(X))))&
(![X]:((~tall(X)|~calm(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~strong(fred)&~wise(fred))))&
(![X]:((curious(X)&~humbl... | ~rich(lucy) | [
"p2",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 340685825589211152720320
% SZS output start Proof for 340685825589211152720320
3. ! [X0] : ((~calm(X0) | ~tall(X0)) <=> (strong(X0) & ~rich(X0))) [input p2]
7. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X0))) [input p6]
10. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> (happy(X0) <~> ~calm(X0)))... | 0 |
Everyone who is either not curious or generous is humble and vice versa.
Everyone who is old is either happy or not creative.
Everyone who is both old and not happy is generous or not rich and vice versa.
Everyone who is either not tall or not wise is either patient or tall and vice versa.
Everyone who is rich or curio... | Alice is not old. | entailment | (![X]:((~curious(X)<~>generous(X))<=>humble(X)))&
(![X]:(old(X)=>(happy(X)<~>~creative(X))))&
(![X]:((old(X)&~happy(X))<=>(generous(X)|~rich(X))))&
(![X]:((~tall(X)<~>~wise(X))<=>(patient(X)<~>tall(X))))&
(![X]:((rich(X)|curious(X))=>happy(X)))&
(![X]:(patient(X)<=>(happy(X)<~>creative(X))))&
(![X]:((~kind(X)&~generous... | ~old(alice) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4223024251133322253335066
% SZS output start Proof for 4223024251133322253335066
2. ! [X0] : (old(X0) => (happy(X0) <~> ~creative(X0))) [input p1]
3. ! [X0] : ((~happy(X0) & old(X0)) <=> (~rich(X0) | generous(X0))) [input p2]
4. ! [X0] : ((~tall(X0) <~> ~wise(X0)) <=> (patient(X0) <~> tal... | 0 |
If someone is not curious then someone is not humble or quiet. If someone is generous or brave then lucy is not calm. Everyone who is quiet is either wise or not funny. If someone is wise or not generous then lucy is not happy. If john is both not humble and not rich then lucy is either funny or creative. Everyone who ... | Fred is rich. | entailment | ((?[X]:(~curious(X)))=>(?[X]:((~humble(X)|quiet(X)))))&
((?[X]:((generous(X)|brave(X))))=>(~calm(lucy)))&
(![X]:(quiet(X)=>(wise(X)<~>~funny(X))))&
((?[X]:((wise(X)|~generous(X))))=>(~happy(lucy)))&
(((~humble(john)&~rich(john)))=>((funny(lucy)<~>creative(lucy))))&
(![X]:((funny(X)&~patient(X))<=>strong(X)))&
(![X]:(~s... | rich(fred) | [
"p7",
"p11",
"p14",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2866546016012405120741380
% SZS output start Proof for 2866546016012405120741380
8. ! [X0] : ((~kind(X0) & ~creative(X0)) <=> ~rich(X0)) [input p7]
12. (tall(lucy) & calm(lucy)) <=> ? [X0] : ~generous(X0) [input p11]
15. ! [X0] : (~generous(X0) <=> ~kind(X0)) [input p14]
16. ? [X0] : (hum... | 0 |
If someone is both creative and not brave then john is either curious or not humble. Everyone who is humble is not curious or strong and vice versa. Everyone who is both not quiet and old is both not patient and not humble. If someone is both not kind and funny then lucy is wise. If susan is not strong then someone is ... | Mary is not old. | neutral | ((?[X]:((creative(X)&~brave(X))))=>((curious(john)<~>~humble(john))))&
(![X]:(humble(X)<=>(~curious(X)|strong(X))))&
(![X]:((~quiet(X)&old(X))=>(~patient(X)&~humble(X))))&
((?[X]:((~kind(X)&funny(X))))=>(wise(lucy)))&
((~strong(susan))=>(?[X]:(funny(X))))&
(![X]:((~creative(X)<~>~happy(X))=>(funny(X)&tall(X))))&
(![X]:... | ~old(mary) | [] | null | 0 |
If someone is generous then someone is both not generous and not humble.
Everyone who is not old is both rich and not wise and vice versa.
Everyone who is either creative or brave is not strong and vice versa.
If alice is either not rich or not generous then someone is either not rich or generous.
Everyone who is quiet... | Fred is not tall. | neutral | ((?[X]:(generous(X)))=>(?[X]:((~generous(X)&~humble(X)))))&
(![X]:(~old(X)<=>(rich(X)&~wise(X))))&
(![X]:((creative(X)<~>brave(X))<=>~strong(X)))&
(((~rich(alice)<~>~generous(alice)))=>(?[X]:((~rich(X)<~>generous(X)))))&
(![X]:(quiet(X)<=>(old(X)&tall(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~generous(X)<~>strong(X)))))&
(!... | ~tall(fred) | [] | null | 0 |
If someone is both not creative and not happy then lucy is either not strong or funny.
Everyone who is curious or patient is either not rich or not funny.
Everyone who is either calm or generous is not tall or not strong.
Everyone who is old or not rich is both wise and generous.
Everyone who is not quiet is creative o... | John is creative. | entailment | ((?[X]:((~creative(X)&~happy(X))))=>((~strong(lucy)<~>funny(lucy))))&
(![X]:((curious(X)|patient(X))=>(~rich(X)<~>~funny(X))))&
(![X]:((calm(X)<~>generous(X))=>(~tall(X)|~strong(X))))&
(![X]:((old(X)|~rich(X))=>(wise(X)&generous(X))))&
(![X]:(~quiet(X)<=>(creative(X)|wise(X))))&
(((generous(mary)&~brave(mary)))=>((~qui... | creative(john) | [
"p3",
"p4",
"p7",
"p11",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7928093785353209354848019
% SZS output start Proof for 7928093785353209354848019
4. ! [X0] : ((~rich(X0) | old(X0)) => (generous(X0) & wise(X0))) [input p3]
5. ! [X0] : (~quiet(X0) <=> (wise(X0) | creative(X0))) [input p4]
8. ! [X0] : (~kind(X0) <=> (calm(X0) | generous(X0))) [input p7]
1... | 0 |
If mary is either not rich or generous then someone is old and vice versa.
If someone is both quiet and not calm then john is either creative or not rich and vice versa.
Everyone who is both tall and not patient is humble and vice versa.
If someone is both not happy and quiet then paul is either not humble or curious a... | Lucy is creative. | entailment | (((~rich(mary)<~>generous(mary)))<=>(?[X]:(old(X))))&
((?[X]:((quiet(X)&~calm(X))))<=>((creative(john)<~>~rich(john))))&
(![X]:((tall(X)&~patient(X))<=>humble(X)))&
((?[X]:((~happy(X)&quiet(X))))<=>((~humble(paul)<~>curious(paul))))&
(((creative(paul)<~>~strong(paul)))<=>((~curious(susan)&~old(susan))))&
(((~calm(paul)... | creative(lucy) | [
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 900522708224078486506093
% SZS output start Proof for 900522708224078486506093
3. ! [X0] : ((~patient(X0) & tall(X0)) <=> humble(X0)) [input p2]
11. ! [X0] : (~creative(X0) => ~tall(X0)) [input p10]
12. ! [X0] : ((humble(X0) & ~tall(X0)) <=> (~rich(X0) | ~humble(X0))) [input p11]
25. ~cre... | 0 |
If someone is kind or not quiet then someone is not wise and vice versa. If someone is both curious and brave then susan is not old. Everyone who is old is funny or tall and vice versa. If alice is not rich then paul is both kind and not old and vice versa. If mary is either not happy or not creative then alice is not ... | Alice is not tall. | entailment | ((?[X]:((kind(X)|~quiet(X))))<=>(?[X]:(~wise(X))))&
((?[X]:((curious(X)&brave(X))))=>(~old(susan)))&
(![X]:(old(X)<=>(funny(X)|tall(X))))&
((~rich(alice))<=>((kind(paul)&~old(paul))))&
(((~happy(mary)<~>~creative(mary)))=>((~quiet(alice)|creative(alice))))&
(((~curious(mary)|humble(mary)))<=>(?[X]:(~strong(X))))&
(((ol... | ~tall(alice) | [
"p2",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3839769640997395647879864
% SZS output start Proof for 3839769640997395647879864
3. ! [X0] : (old(X0) <=> (tall(X0) | funny(X0))) [input p2]
12. ? [X0] : (~rich(X0) | ~brave(X0)) <=> ? [X0] : rich(X0) [input p11]
13. ? [X0] : (rich(X0) | ~kind(X0)) <=> (calm(alice) & ~old(alice)) [input p... | 0 |
Everyone who is humble is either kind or curious.
Everyone who is funny or patient is funny.
If john is not kind or not happy then someone is not generous or kind and vice versa.
If lucy is not creative or not happy then john is both not happy and funny.
If alice is both generous and strong then someone is both not old... | Alice is humble. | contradiction | (![X]:(humble(X)=>(kind(X)<~>curious(X))))&
(![X]:((funny(X)|patient(X))=>funny(X)))&
(((~kind(john)|~happy(john)))<=>(?[X]:((~generous(X)|kind(X)))))&
(((~creative(lucy)|~happy(lucy)))=>((~happy(john)&funny(john))))&
(((generous(alice)&strong(alice)))<=>(?[X]:((~old(X)&~strong(X)))))&
(![X]:((rich(X)<~>~funny(X))<=>(c... | humble(alice) | [
"p6",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8658019787379870750477539
% SZS output start Proof for 8658019787379870750477539
7. ? [X0] : ~tall(X0) => ? [X0] : (tall(X0) & happy(X0)) [input p6]
9. ! [X0] : ((humble(X0) <~> ~tall(X0)) <=> ~creative(X0)) [input p8]
13. ! [X0] : ((strong(X0) <~> ~strong(X0)) => (creative(X0) & ~brave(X... | 0 |
Everyone who is creative or not happy is either not patient or not brave and vice versa. If paul is both not wise and not kind then susan is not quiet or happy and vice versa. Everyone who is not generous is calm or not brave and vice versa. If fred is either strong or curious then someone is not generous or not old an... | Alice is not funny. | neutral | (![X]:((creative(X)|~happy(X))<=>(~patient(X)<~>~brave(X))))&
(((~wise(paul)&~kind(paul)))<=>((~quiet(susan)|happy(susan))))&
(![X]:(~generous(X)<=>(calm(X)|~brave(X))))&
(((strong(fred)<~>curious(fred)))<=>(?[X]:((~generous(X)|~old(X)))))&
(![X]:(~happy(X)<=>(~strong(X)<~>~humble(X))))&
(![X]:((wise(X)&~brave(X))<=>(h... | ~funny(alice) | [] | null | 0 |
Everyone who is both calm and quiet is both not quiet and patient and vice versa.
Everyone who is not rich is both brave and funny.
If someone is rich then someone is not tall.
Everyone who is humble or tall is not patient and vice versa.
Everyone who is not strong is both patient and not generous.
Everyone who is not ... | Fred is strong. | entailment | (![X]:((calm(X)&quiet(X))<=>(~quiet(X)&patient(X))))&
(![X]:(~rich(X)=>(brave(X)&funny(X))))&
((?[X]:(rich(X)))=>(?[X]:(~tall(X))))&
(![X]:((humble(X)|tall(X))<=>~patient(X)))&
(![X]:(~strong(X)=>(patient(X)&~generous(X))))&
(![X]:((~tall(X)|calm(X))=>(~old(X)|funny(X))))&
(![X]:(~generous(X)=>~quiet(X)))&
((~calm(paul... | strong(fred) | [
"p4",
"p14",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 8577232989542338847381581
% SZS output start Proof for 8577232989542338847381581
5. ! [X0] : (~strong(X0) => (~generous(X0) & patient(X0))) [input p4]
15. ! [X0] : ((~wise(X0) <~> ~strong(X0)) <=> (happy(X0) | ~generous(X0))) [input p14]
23. curious(fred) & ~wise(fred) [input p22]
24. ~st... | 0 |
Everyone who is not creative or funny is not kind or not strong. If someone is either not calm or not curious then paul is either humble or not strong. If someone is either not patient or kind then someone is both funny and brave and vice versa. Everyone who is either not wise or not strong is either not happy or quiet... | Susan is not quiet. | contradiction | (![X]:((~creative(X)|funny(X))=>(~kind(X)|~strong(X))))&
((?[X]:((~calm(X)<~>~curious(X))))=>((humble(paul)<~>~strong(paul))))&
((?[X]:((~patient(X)<~>kind(X))))<=>(?[X]:((funny(X)&brave(X)))))&
(![X]:((~wise(X)<~>~strong(X))<=>(~happy(X)<~>quiet(X))))&
(((generous(fred)|happy(fred)))<=>((~rich(susan)|calm(susan))))&
(... | ~quiet(susan) | [
"p11",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 84126025258070066119549
% SZS output start Proof for 84126025258070066119549
12. ! [X0] : ((~creative(X0) & curious(X0)) <=> calm(X0)) [input p11]
14. ! [X0] : (brave(X0) <=> (calm(X0) | ~brave(X0))) [input p13]
18. quiet(susan) <~> creative(susan) [input p17]
23. ~quiet(susan) [input hyp... | 0 |
Everyone who is old is not patient and vice versa.
Everyone who is not tall or not humble is not old or not generous.
Everyone who is either curious or patient is not happy and vice versa.
Everyone who is humble is either patient or not happy.
Everyone who is not humble is not patient.
If paul is either not calm or not... | Paul is quiet. | neutral | (![X]:(old(X)<=>~patient(X)))&
(![X]:((~tall(X)|~humble(X))=>(~old(X)|~generous(X))))&
(![X]:((curious(X)<~>patient(X))<=>~happy(X)))&
(![X]:(humble(X)=>(patient(X)<~>~happy(X))))&
(![X]:(~humble(X)=>~patient(X)))&
(((~calm(paul)<~>~old(paul)))=>(?[X]:((funny(X)|~humble(X)))))&
(![X]:((~rich(X)|patient(X))<=>patient(X)... | quiet(paul) | [] | null | 0 |
Everyone who is both happy and not rich is generous or not kind.
Everyone who is either calm or brave is not funny or not strong.
Everyone who is not happy or not kind is not calm.
Everyone who is either not funny or wise is both wise and not rich and vice versa.
Everyone who is not creative or not humble is rich and v... | Fred is humble. | entailment | (![X]:((happy(X)&~rich(X))=>(generous(X)|~kind(X))))&
(![X]:((calm(X)<~>brave(X))=>(~funny(X)|~strong(X))))&
(![X]:((~happy(X)|~kind(X))=>~calm(X)))&
(![X]:((~funny(X)<~>wise(X))<=>(wise(X)&~rich(X))))&
(![X]:((~creative(X)|~humble(X))<=>rich(X)))&
(((generous(susan)&~rich(susan)))=>((humble(fred)<~>happy(fred))))&
((?... | humble(fred) | [
"p4",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6242061165079271746368254
% SZS output start Proof for 6242061165079271746368254
5. ! [X0] : ((~humble(X0) | ~creative(X0)) <=> rich(X0)) [input p4]
11. ! [X0] : (~curious(X0) <=> quiet(X0)) [input p10]
14. ! [X0] : ((~rich(X0) & ~kind(X0)) <=> (curious(X0) | quiet(X0))) [input p13]
22. ~... | 0 |
If someone is humble then alice is not curious or humble and vice versa.
If someone is either not tall or calm then paul is both funny and rich and vice versa.
If alice is kind then lucy is happy and vice versa.
If paul is not creative then fred is either quiet or not happy and vice versa.
Everyone who is both happy an... | Susan is generous. | entailment | ((?[X]:(humble(X)))<=>((~curious(alice)|humble(alice))))&
((?[X]:((~tall(X)<~>calm(X))))<=>((funny(paul)&rich(paul))))&
((kind(alice))<=>(happy(lucy)))&
((~creative(paul))<=>((quiet(fred)<~>~happy(fred))))&
(![X]:((happy(X)&funny(X))<=>(happy(X)&strong(X))))&
((old(mary))=>(?[X]:((curious(X)|patient(X)))))&
(![X]:(stro... | generous(susan) | [
"p4",
"p6",
"p10",
"p11",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5865441895497576208532534
% SZS output start Proof for 5865441895497576208532534
5. ! [X0] : ((funny(X0) & happy(X0)) <=> (strong(X0) & happy(X0))) [input p4]
7. ! [X0] : (strong(X0) <=> (humble(X0) & tall(X0))) [input p6]
11. ? [X0] : (rich(X0) | brave(X0)) => (~happy(john) & ~funny(john... | 0 |
Everyone who is tall or not brave is either not tall or not old.
If john is both not generous and quiet then someone is patient or tall and vice versa.
If susan is either not kind or tall then susan is tall or not quiet and vice versa.
Everyone who is either not calm or not happy is either humble or kind.
Everyone who ... | Paul is calm. | contradiction | (![X]:((tall(X)|~brave(X))=>(~tall(X)<~>~old(X))))&
(((~generous(john)&quiet(john)))<=>(?[X]:((patient(X)|tall(X)))))&
(((~kind(susan)<~>tall(susan)))<=>((tall(susan)|~quiet(susan))))&
(![X]:((~calm(X)<~>~happy(X))=>(humble(X)<~>kind(X))))&
(![X]:(~kind(X)<=>(strong(X)|curious(X))))&
((?[X]:(~quiet(X)))<=>((rich(fred)&... | calm(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3387195345335591953145796
% SZS output start Proof for 3387195345335591953145796
16. ! [X0] : ((~calm(X0) & patient(X0)) <=> (~happy(X0) | happy(X0))) [input p15]
24. calm(paul) [input hypothesis]
70. ! [X0] : (((~calm(X0) & patient(X0)) | (happy(X0) & ~happy(X0))) & ((~happy(X0) | happy(... | 0 |
Everyone who is either creative or not kind is not quiet or not creative.
Everyone who is happy or not strong is either rich or strong.
If someone is rich then someone is both tall and wise and vice versa.
Everyone who is strong is both not kind and patient and vice versa.
Everyone who is both not quiet and tall is eit... | Fred is not rich. | neutral | (![X]:((creative(X)<~>~kind(X))=>(~quiet(X)|~creative(X))))&
(![X]:((happy(X)|~strong(X))=>(rich(X)<~>strong(X))))&
((?[X]:(rich(X)))<=>(?[X]:((tall(X)&wise(X)))))&
(![X]:(strong(X)<=>(~kind(X)&patient(X))))&
(![X]:((~quiet(X)&tall(X))<=>(happy(X)<~>curious(X))))&
(((~funny(mary)&~patient(mary)))=>(?[X]:(~kind(X))))&
(... | ~rich(fred) | [] | null | 0 |
If someone is both not tall and curious then mary is both brave and not wise and vice versa.
Everyone who is both not calm and brave is not happy or curious and vice versa.
If someone is not old then lucy is not curious and vice versa.
Everyone who is not brave or not patient is not funny and vice versa.
If someone is ... | Mary is not wise. | neutral | ((?[X]:((~tall(X)&curious(X))))<=>((brave(mary)&~wise(mary))))&
(![X]:((~calm(X)&brave(X))<=>(~happy(X)|curious(X))))&
((?[X]:(~old(X)))<=>(~curious(lucy)))&
(![X]:((~brave(X)|~patient(X))<=>~funny(X)))&
((?[X]:(quiet(X)))=>(?[X]:(humble(X))))&
(((patient(susan)&~calm(susan)))=>(?[X]:(funny(X))))&
(((brave(fred)<~>kind... | ~wise(mary) | [] | null | 0 |
Everyone who is either not patient or wise is not curious and vice versa.
Everyone who is patient or old is both not tall and brave and vice versa.
Everyone who is either not tall or creative is both not curious and happy and vice versa.
Everyone who is not funny is not wise.
Everyone who is not quiet is happy or tall ... | John is patient. | contradiction | (![X]:((~patient(X)<~>wise(X))<=>~curious(X)))&
(![X]:((patient(X)|old(X))<=>(~tall(X)&brave(X))))&
(![X]:((~tall(X)<~>creative(X))<=>(~curious(X)&happy(X))))&
(![X]:(~funny(X)=>~wise(X)))&
(![X]:(~quiet(X)<=>(happy(X)|tall(X))))&
(![X]:((curious(X)|old(X))=>(~wise(X)<~>curious(X))))&
(((~patient(john)|old(john)))<=>(?... | patient(john) | [
"p0",
"p5",
"p6",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5977444363258777562728166
% SZS output start Proof for 5977444363258777562728166
1. ! [X0] : ((~patient(X0) <~> wise(X0)) <=> ~curious(X0)) [input p0]
6. ! [X0] : ((old(X0) | curious(X0)) => (~wise(X0) <~> curious(X0))) [input p5]
7. (old(john) | ~patient(john)) <=> ? [X0] : (~humble(X0) ... | 0 |
Everyone who is either not wise or kind is not old or rich and vice versa. If someone is both patient and happy then john is rich. If mary is funny then someone is not wise or not strong. Everyone who is curious or not old is brave or not wise. Everyone who is tall is not generous and vice versa. Everyone who is brave ... | Susan is not generous. | neutral | (![X]:((~wise(X)<~>kind(X))<=>(~old(X)|rich(X))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient(X)))&
(![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X)))... | ~generous(susan) | [] | null | 0 |
If fred is not happy or rich then someone is not curious. Everyone who is old or not generous is either wise or funny and vice versa. If paul is quiet then someone is either creative or humble. Everyone who is not creative is not calm and vice versa. Everyone who is calm or not tall is both funny and wise. If someone i... | Lucy is not brave. | entailment | (((~happy(fred)|rich(fred)))=>(?[X]:(~curious(X))))&
(![X]:((old(X)|~generous(X))<=>(wise(X)<~>funny(X))))&
((quiet(paul))=>(?[X]:((creative(X)<~>humble(X)))))&
(![X]:(~creative(X)<=>~calm(X)))&
(![X]:((calm(X)|~tall(X))=>(funny(X)&wise(X))))&
((?[X]:(quiet(X)))<=>((~creative(susan)&patient(susan))))&
(![X]:((wise(X)|~... | ~brave(lucy) | [
"p1",
"p3",
"p4",
"p5",
"p6",
"p8",
"p10",
"p12",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 668626585615218732137621
% SZS output start Proof for 668626585615218732137621
2. ! [X0] : ((~generous(X0) | old(X0)) <=> (wise(X0) <~> funny(X0))) [input p1]
4. ! [X0] : (~creative(X0) <=> ~calm(X0)) [input p3]
5. ! [X0] : ((~tall(X0) | calm(X0)) => (wise(X0) & funny(X0))) [input p4]
6. ... | 0 |
If susan is both not wise and not rich then lucy is not calm and vice versa. Everyone who is either not quiet or not tall is funny and vice versa. Everyone who is not strong is not wise. If john is strong then john is either not quiet or tall. If mary is both not patient and not quiet then someone is both calm and not ... | John is happy. | contradiction | (((~wise(susan)&~rich(susan)))<=>(~calm(lucy)))&
(![X]:((~quiet(X)<~>~tall(X))<=>funny(X)))&
(![X]:(~strong(X)=>~wise(X)))&
((strong(john))=>((~quiet(john)<~>tall(john))))&
(((~patient(mary)&~quiet(mary)))<=>(?[X]:((calm(X)&~generous(X)))))&
(![X]:((curious(X)<~>~generous(X))<=>(calm(X)&rich(X))))&
(![X]:((calm(X)&rich... | happy(john) | [
"p1",
"p2",
"p3",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3982991767952239615952260
% SZS output start Proof for 3982991767952239615952260
2. ! [X0] : ((~quiet(X0) <~> ~tall(X0)) <=> funny(X0)) [input p1]
3. ! [X0] : (~strong(X0) => ~wise(X0)) [input p2]
4. strong(john) => (~quiet(john) <~> tall(john)) [input p3]
11. ! [X0] : (wise(X0) <=> (~pat... | 0 |
Everyone who is not curious or old is not funny and vice versa. Everyone who is either not patient or curious is calm or kind. Everyone who is not strong or not curious is happy or calm and vice versa. Everyone who is not tall or tall is either rich or not wise. Everyone who is not funny is both not happy and not gener... | Alice is rich. | neutral | (![X]:((~curious(X)|old(X))<=>~funny(X)))&
(![X]:((~patient(X)<~>curious(X))=>(calm(X)|kind(X))))&
(![X]:((~strong(X)|~curious(X))<=>(happy(X)|calm(X))))&
(![X]:((~tall(X)|tall(X))=>(rich(X)<~>~wise(X))))&
(![X]:(~funny(X)=>(~happy(X)&~generous(X))))&
((?[X]:((~happy(X)&~wise(X))))=>((rich(fred)<~>kind(fred))))&
((?[X]... | rich(alice) | [] | null | 0 |
Everyone who is both not strong and humble is both not humble and not strong and vice versa. Everyone who is creative or patient is both patient and happy. Everyone who is not happy is not creative or not kind and vice versa. If alice is not tall or not creative then someone is both not humble and funny. Everyone who i... | Paul is not strong. | contradiction | (![X]:((~strong(X)&humble(X))<=>(~humble(X)&~strong(X))))&
(![X]:((creative(X)|patient(X))=>(patient(X)&happy(X))))&
(![X]:(~happy(X)<=>(~creative(X)|~kind(X))))&
(((~tall(alice)|~creative(alice)))=>(?[X]:((~humble(X)&funny(X)))))&
(![X]:((creative(X)|strong(X))=>(happy(X)&~quiet(X))))&
(((~generous(paul)&tall(paul)))=... | ~strong(paul) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 5540965502086778002366236
% SZS output start Proof for 5540965502086778002366236
1. ! [X0] : ((humble(X0) & ~strong(X0)) <=> (~strong(X0) & ~humble(X0))) [input p0]
24. ~strong(paul) [input hypothesis]
36. ! [X0] : (((humble(X0) & ~strong(X0)) | (strong(X0) | humble(X0))) & ((~strong(X0) ... | 0 |
Everyone who is both not old and quiet is rich or generous and vice versa.
If fred is both not creative and not happy then mary is either brave or old and vice versa.
Everyone who is curious or happy is not kind and vice versa.
Everyone who is both not strong and quiet is not wise or curious and vice versa.
Everyone wh... | Mary is patient. | entailment | (![X]:((~old(X)&quiet(X))<=>(rich(X)|generous(X))))&
(((~creative(fred)&~happy(fred)))<=>((brave(mary)<~>old(mary))))&
(![X]:((curious(X)|happy(X))<=>~kind(X)))&
(![X]:((~strong(X)&quiet(X))<=>(~wise(X)|curious(X))))&
(![X]:(~old(X)<=>(~old(X)|quiet(X))))&
(((rich(fred)&~strong(fred)))<=>(?[X]:(~patient(X))))&
(![X]:((... | patient(mary) | [
"p0",
"p5",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6264163033324972193813538
% SZS output start Proof for 6264163033324972193813538
1. ! [X0] : ((quiet(X0) & ~old(X0)) <=> (generous(X0) | rich(X0))) [input p0]
6. (~strong(fred) & rich(fred)) <=> ? [X0] : ~patient(X0) [input p5]
13. ! [X0] : ((~generous(X0) & ~rich(X0)) <=> humble(X0)) [in... | 0 |
If someone is both not generous and not brave then mary is not brave or not curious.
Everyone who is both not patient and wise is not funny or not strong.
Everyone who is not kind is not funny and vice versa.
If alice is both creative and not rich then someone is either not old or not generous and vice versa.
If john i... | John is not strong. | entailment | ((?[X]:((~generous(X)&~brave(X))))=>((~brave(mary)|~curious(mary))))&
(![X]:((~patient(X)&wise(X))=>(~funny(X)|~strong(X))))&
(![X]:(~kind(X)<=>~funny(X)))&
(((creative(alice)&~rich(alice)))<=>(?[X]:((~old(X)<~>~generous(X)))))&
(((~funny(john)|~rich(john)))<=>((rich(alice)|quiet(alice))))&
((?[X]:((~quiet(X)&brave(X))... | ~strong(john) | [
"p13",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5351163237795836288336547
% SZS output start Proof for 5351163237795836288336547
14. ! [X0] : ((~old(X0) | ~kind(X0)) => ~strong(X0)) [input p13]
16. ! [X0] : ((kind(X0) | happy(X0)) => (~tall(X0) <~> ~old(X0))) [input p15]
18. humble(john) & tall(john) [input p17]
23. strong(john) [input... | 0 |
If someone is not generous or calm then paul is not strong.
Everyone who is both humble and patient is either not tall or happy.
If someone is not generous then john is generous and vice versa.
Everyone who is happy or creative is not patient or quiet and vice versa.
Everyone who is both calm and quiet is not kind or n... | Susan is wise. | neutral | ((?[X]:((~generous(X)|calm(X))))=>(~strong(paul)))&
(![X]:((humble(X)&patient(X))=>(~tall(X)<~>happy(X))))&
((?[X]:(~generous(X)))<=>(generous(john)))&
(![X]:((happy(X)|creative(X))<=>(~patient(X)|quiet(X))))&
(![X]:((calm(X)&quiet(X))=>(~kind(X)|~tall(X))))&
(![X]:((~patient(X)<~>~happy(X))<=>~quiet(X)))&
(![X]:((kind... | wise(susan) | [] | null | 0 |
Everyone who is not wise or not old is both not creative and wise.
Everyone who is either not funny or not old is wise or not calm.
If lucy is either old or strong then john is generous or not curious.
If someone is either humble or not curious then alice is not patient.
Everyone who is either patient or not funny is n... | Lucy is creative. | neutral | (![X]:((~wise(X)|~old(X))=>(~creative(X)&wise(X))))&
(![X]:((~funny(X)<~>~old(X))=>(wise(X)|~calm(X))))&
(((old(lucy)<~>strong(lucy)))=>((generous(john)|~curious(john))))&
((?[X]:((humble(X)<~>~curious(X))))=>(~patient(alice)))&
(![X]:((patient(X)<~>~funny(X))<=>(~quiet(X)|happy(X))))&
(![X]:((~tall(X)|~happy(X))=>(ric... | creative(lucy) | [] | null | 0 |
Everyone who is both funny and not happy is not curious.
If someone is both not brave and happy then fred is not kind and vice versa.
Everyone who is either not tall or not rich is not old.
Everyone who is either rich or not rich is either creative or strong and vice versa.
If someone is both not quiet and rich then lu... | Fred is not rich. | neutral | (![X]:((funny(X)&~happy(X))=>~curious(X)))&
((?[X]:((~brave(X)&happy(X))))<=>(~kind(fred)))&
(![X]:((~tall(X)<~>~rich(X))=>~old(X)))&
(![X]:((rich(X)<~>~rich(X))<=>(creative(X)<~>strong(X))))&
((?[X]:((~quiet(X)&rich(X))))=>((humble(lucy)|~patient(lucy))))&
(![X]:((generous(X)|~brave(X))=>(curious(X)&~tall(X))))&
((?[X... | ~rich(fred) | [] | null | 0 |
If someone is both not humble and not creative then susan is tall or funny.
If fred is either not kind or not generous then someone is not calm.
If someone is patient or not generous then susan is either not rich or not strong and vice versa.
Everyone who is quiet is both not old and rich.
If lucy is both not calm and ... | Fred is not rich. | entailment | ((?[X]:((~humble(X)&~creative(X))))=>((tall(susan)|funny(susan))))&
(((~kind(fred)<~>~generous(fred)))=>(?[X]:(~calm(X))))&
((?[X]:((patient(X)|~generous(X))))<=>((~rich(susan)<~>~strong(susan))))&
(![X]:(quiet(X)=>(~old(X)&rich(X))))&
(((~calm(lucy)&generous(lucy)))=>(?[X]:((happy(X)&~humble(X)))))&
(![X]:(~quiet(X)=>... | ~rich(fred) | [
"p5",
"p10",
"p17",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4633515887640629333766890
% SZS output start Proof for 4633515887640629333766890
6. ! [X0] : (~quiet(X0) => (~humble(X0) & tall(X0))) [input p5]
11. ! [X0] : ((creative(X0) & humble(X0)) <=> rich(X0)) [input p10]
18. ~brave(fred) | ~quiet(fred) [input p17]
22. ~humble(fred) <~> brave(fred... | 0 |
Everyone who is not curious is both strong and kind and vice versa.
If susan is not kind or not funny then lucy is not wise or creative.
If someone is strong then someone is either wise or not generous and vice versa.
Everyone who is either not humble or not strong is either not wise or not quiet.
Everyone who is eithe... | Paul is not calm. | neutral | (![X]:(~curious(X)<=>(strong(X)&kind(X))))&
(((~kind(susan)|~funny(susan)))=>((~wise(lucy)|creative(lucy))))&
((?[X]:(strong(X)))<=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((~humble(X)<~>~strong(X))=>(~wise(X)<~>~quiet(X))))&
(![X]:((strong(X)<~>wise(X))=>~wise(X)))&
(![X]:((~kind(X)|~curious(X))=>(~patient(X)&~old(X... | ~calm(paul) | [] | null | 0 |
Everyone who is both curious and not old is both not humble and humble.
Everyone who is either not creative or wise is not funny and vice versa.
If john is not patient or not kind then someone is not rich or creative and vice versa.
If someone is wise then lucy is humble and vice versa.
Everyone who is curious or not f... | Paul is calm. | entailment | (![X]:((curious(X)&~old(X))=>(~humble(X)&humble(X))))&
(![X]:((~creative(X)<~>wise(X))<=>~funny(X)))&
(((~patient(john)|~kind(john)))<=>(?[X]:((~rich(X)|creative(X)))))&
((?[X]:(wise(X)))<=>(humble(lucy)))&
(![X]:((curious(X)|~funny(X))<=>(tall(X)<~>generous(X))))&
(![X]:(~funny(X)=>(wise(X)|strong(X))))&
((calm(paul))... | calm(paul) | [
"p6",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6067968021408297134917285
% SZS output start Proof for 6067968021408297134917285
7. calm(paul) <=> ? [X0] : ~humble(X0) [input p6]
13. ! [X0] : (~calm(X0) <=> ~humble(X0)) [input p12]
19. ~calm(john) & ~old(john) [input p18]
25. ~calm(paul) [input hypothesis]
46. (calm(paul) | ! [X0] : hu... | 0 |
Everyone who is either patient or not rich is not calm or not rich and vice versa.
Everyone who is not kind is either not calm or rich and vice versa.
Everyone who is either kind or not quiet is funny or rich.
Everyone who is not strong is both not creative and not patient and vice versa.
Everyone who is not kind or no... | John is not quiet. | contradiction | (![X]:((patient(X)<~>~rich(X))<=>(~calm(X)|~rich(X))))&
(![X]:(~kind(X)<=>(~calm(X)<~>rich(X))))&
(![X]:((kind(X)<~>~quiet(X))=>(funny(X)|rich(X))))&
(![X]:(~strong(X)<=>(~creative(X)&~patient(X))))&
(![X]:((~kind(X)|~humble(X))<=>(~curious(X)|~quiet(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((funny(X)|~generous(X)))))&
(!... | ~quiet(john) | [
"p0",
"p4",
"p7",
"p10",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7910050063170641660966931
% SZS output start Proof for 7910050063170641660966931
1. ! [X0] : ((patient(X0) <~> ~rich(X0)) <=> (~rich(X0) | ~calm(X0))) [input p0]
5. ! [X0] : ((~humble(X0) | ~kind(X0)) <=> (~quiet(X0) | ~curious(X0))) [input p4]
8. ? [X0] : (~kind(X0) | ~calm(X0)) <=> (wis... | 0 |
Everyone who is humble or not rich is both not brave and not generous and vice versa. Everyone who is both wise and patient is strong. If alice is curious or humble then john is tall and vice versa. If someone is either patient or rich then john is calm and vice versa. Everyone who is either not wise or not rich is not... | Alice is not calm. | contradiction | (![X]:((humble(X)|~rich(X))<=>(~brave(X)&~generous(X))))&
(![X]:((wise(X)&patient(X))=>strong(X)))&
(((curious(alice)|humble(alice)))<=>(tall(john)))&
((?[X]:((patient(X)<~>rich(X))))<=>(calm(john)))&
(![X]:((~wise(X)<~>~rich(X))<=>~creative(X)))&
(![X]:((~funny(X)|kind(X))=>(quiet(X)&~creative(X))))&
(![X]:(~kind(X)<=... | ~calm(alice) | [
"p5",
"p6",
"p7",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3292026147400821978352541
% SZS output start Proof for 3292026147400821978352541
6. ! [X0] : ((kind(X0) | ~funny(X0)) => (~creative(X0) & quiet(X0))) [input p5]
7. ! [X0] : (~kind(X0) <=> wise(X0)) [input p6]
8. ! [X0] : ((funny(X0) <~> calm(X0)) => (quiet(X0) | ~brave(X0))) [input p7]
11... | 0 |
If someone is old then someone is both not strong and not brave.
If someone is not kind then someone is generous and vice versa.
Everyone who is both kind and not humble is both wise and not happy and vice versa.
Everyone who is rich or strong is not tall or not creative.
Everyone who is strong is generous or not creat... | Lucy is not old. | neutral | ((?[X]:(old(X)))=>(?[X]:((~strong(X)&~brave(X)))))&
((?[X]:(~kind(X)))<=>(?[X]:(generous(X))))&
(![X]:((kind(X)&~humble(X))<=>(wise(X)&~happy(X))))&
(![X]:((rich(X)|strong(X))=>(~tall(X)|~creative(X))))&
(![X]:(strong(X)<=>(generous(X)|~creative(X))))&
(![X]:((~strong(X)<~>patient(X))<=>(humble(X)&brave(X))))&
(((~kind... | ~old(lucy) | [] | null | 0 |
If mary is either not tall or creative then someone is both tall and quiet.
Everyone who is not wise is not calm or not patient.
Everyone who is either not generous or quiet is humble and vice versa.
If someone is either patient or not happy then john is not brave and vice versa.
Everyone who is patient or not generous... | John is brave. | contradiction | (((~tall(mary)<~>creative(mary)))=>(?[X]:((tall(X)&quiet(X)))))&
(![X]:(~wise(X)=>(~calm(X)|~patient(X))))&
(![X]:((~generous(X)<~>quiet(X))<=>humble(X)))&
((?[X]:((patient(X)<~>~happy(X))))<=>(~brave(john)))&
(![X]:((patient(X)|~generous(X))<=>(strong(X)&old(X))))&
((?[X]:((brave(X)&happy(X))))=>(?[X]:((~patient(X)&~o... | brave(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 112737395688795895484890
% SZS output start Proof for 112737395688795895484890
7. ? [X0] : brave(X0) <=> ? [X0] : (rich(X0) & ~rich(X0)) [input p6]
25. brave(john) [input hypothesis]
27. ? [X0] : brave(X0) <=> ? [X1] : (rich(X1) & ~rich(X1)) [rectify 7]
56. (? [X0] : brave(X0) | ! [X1] : ... | 0 |
If someone is strong then someone is not rich. If someone is both wise and not curious then someone is generous or not patient and vice versa. Everyone who is both not wise and curious is not curious or not rich and vice versa. If someone is not creative or wise then fred is creative and vice versa. If paul is either h... | Mary is kind. | neutral | ((?[X]:(strong(X)))=>(?[X]:(~rich(X))))&
((?[X]:((wise(X)&~curious(X))))<=>(?[X]:((generous(X)|~patient(X)))))&
(![X]:((~wise(X)&curious(X))<=>(~curious(X)|~rich(X))))&
((?[X]:((~creative(X)|wise(X))))<=>(creative(fred)))&
(((humble(paul)<~>wise(paul)))<=>((patient(john)|~rich(john))))&
((?[X]:((rich(X)<~>quiet(X))))=>... | kind(mary) | [] | null | 0 |
Everyone who is not calm or creative is either rich or strong and vice versa.
Everyone who is either not tall or not strong is either not funny or funny and vice versa.
If someone is quiet or generous then john is both not generous and not happy and vice versa.
Everyone who is not strong or quiet is either creative or ... | John is humble. | neutral | (![X]:((~calm(X)|creative(X))<=>(rich(X)<~>strong(X))))&
(![X]:((~tall(X)<~>~strong(X))<=>(~funny(X)<~>funny(X))))&
((?[X]:((quiet(X)|generous(X))))<=>((~generous(john)&~happy(john))))&
(![X]:((~strong(X)|quiet(X))=>(creative(X)<~>~strong(X))))&
((strong(fred))=>(?[X]:(~tall(X))))&
(![X]:((~brave(X)<~>wise(X))=>(creati... | humble(john) | [] | null | 0 |
If someone is rich then someone is either not strong or not tall. If someone is not rich then lucy is not old and vice versa. Everyone who is both kind and not strong is not tall and vice versa. Everyone who is strong is both not tall and not brave. Everyone who is wise is either curious or strong and vice versa. If so... | Lucy is not strong. | entailment | ((?[X]:(rich(X)))=>(?[X]:((~strong(X)<~>~tall(X)))))&
((?[X]:(~rich(X)))<=>(~old(lucy)))&
(![X]:((kind(X)&~strong(X))<=>~tall(X)))&
(![X]:(strong(X)=>(~tall(X)&~brave(X))))&
(![X]:(wise(X)<=>(curious(X)<~>strong(X))))&
((?[X]:(~humble(X)))<=>(funny(susan)))&
(![X]:(humble(X)<=>(~quiet(X)<~>~creative(X))))&
(![X]:((~old... | ~strong(lucy) | [
"p2",
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 816572731214779904628896
% SZS output start Proof for 816572731214779904628896
3. ! [X0] : ((~strong(X0) & kind(X0)) <=> ~tall(X0)) [input p2]
4. ! [X0] : (strong(X0) => (~brave(X0) & ~tall(X0))) [input p3]
25. strong(lucy) [input hypothesis]
28. ! [X0] : ((~brave(X0) & ~tall(X0)) | ~stro... | 0 |
Everyone who is both humble and not patient is not kind and vice versa. Everyone who is curious is either not curious or not humble and vice versa. Everyone who is not calm or not tall is either quiet or not old. If someone is both strong and not creative then someone is both patient and wise. If someone is calm then s... | Mary is not kind. | contradiction | (![X]:((humble(X)&~patient(X))<=>~kind(X)))&
(![X]:(curious(X)<=>(~curious(X)<~>~humble(X))))&
(![X]:((~calm(X)|~tall(X))=>(quiet(X)<~>~old(X))))&
((?[X]:((strong(X)&~creative(X))))=>(?[X]:((patient(X)&wise(X)))))&
((?[X]:(calm(X)))=>(?[X]:((~creative(X)<~>calm(X)))))&
((?[X]:(~rich(X)))=>(?[X]:(brave(X))))&
(![X]:(cur... | ~kind(mary) | [
"p0",
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8112390452130607547119518
% SZS output start Proof for 8112390452130607547119518
1. ! [X0] : ((~patient(X0) & humble(X0)) <=> ~kind(X0)) [input p0]
2. ! [X0] : (curious(X0) <=> (~curious(X0) <~> ~humble(X0))) [input p1]
25. ~kind(mary) [input hypothesis]
41. ! [X0] : (((~patient(X0) & hum... | 0 |
Everyone who is both patient and not tall is not old.
If someone is strong then lucy is either not curious or not generous.
Everyone who is humble is either not old or not patient and vice versa.
Everyone who is both tall and happy is curious and vice versa.
Everyone who is not happy or wise is both not calm and not hu... | Lucy is curious. | entailment | (![X]:((patient(X)&~tall(X))=>~old(X)))&
((?[X]:(strong(X)))=>((~curious(lucy)<~>~generous(lucy))))&
(![X]:(humble(X)<=>(~old(X)<~>~patient(X))))&
(![X]:((tall(X)&happy(X))<=>curious(X)))&
(![X]:((~happy(X)|wise(X))=>(~calm(X)&~humble(X))))&
(![X]:((~creative(X)|tall(X))<=>(~quiet(X)<~>~kind(X))))&
(![X]:((~old(X)&happ... | curious(lucy) | [
"p0",
"p3",
"p6",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8806113920278033112710266
% SZS output start Proof for 8806113920278033112710266
1. ! [X0] : ((~tall(X0) & patient(X0)) => ~old(X0)) [input p0]
4. ! [X0] : ((happy(X0) & tall(X0)) <=> curious(X0)) [input p3]
7. ! [X0] : ((happy(X0) & ~old(X0)) <=> ~happy(X0)) [input p6]
10. ! [X0] : ((tal... | 0 |
Everyone who is both humble and not calm is calm and vice versa.
If someone is not humble then lucy is not rich or creative and vice versa.
If lucy is not curious then someone is strong or not calm and vice versa.
Everyone who is either happy or curious is not rich or not tall and vice versa.
Everyone who is curious is... | Lucy is not curious. | entailment | (![X]:((humble(X)&~calm(X))<=>calm(X)))&
((?[X]:(~humble(X)))<=>((~rich(lucy)|creative(lucy))))&
((~curious(lucy))<=>(?[X]:((strong(X)|~calm(X)))))&
(![X]:((happy(X)<~>curious(X))<=>(~rich(X)|~tall(X))))&
(![X]:(curious(X)=>(old(X)|~old(X))))&
(![X]:((rich(X)<~>~tall(X))=>~quiet(X)))&
((?[X]:((~kind(X)<~>~wise(X))))<=>... | ~curious(lucy) | [
"p0",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 9005097340218425185334013
% SZS output start Proof for 9005097340218425185334013
1. ! [X0] : ((~calm(X0) & humble(X0)) <=> calm(X0)) [input p0]
3. ~curious(lucy) <=> ? [X0] : (~calm(X0) | strong(X0)) [input p2]
23. curious(lucy) [input hypothesis]
33. ! [X0] : (((~calm(X0) & humble(X0)) |... | 0 |
Everyone who is both wise and kind is either curious or rich. Everyone who is not creative or happy is both quiet and not creative. If lucy is not patient or calm then someone is either not humble or quiet and vice versa. Everyone who is both not rich and not funny is not curious or not funny and vice versa. Everyone w... | Alice is rich. | contradiction | (![X]:((wise(X)&kind(X))=>(curious(X)<~>rich(X))))&
(![X]:((~creative(X)|happy(X))=>(quiet(X)&~creative(X))))&
(((~patient(lucy)|calm(lucy)))<=>(?[X]:((~humble(X)<~>quiet(X)))))&
(![X]:((~rich(X)&~funny(X))<=>(~curious(X)|~funny(X))))&
(![X]:(kind(X)=>(~brave(X)<~>funny(X))))&
(((~brave(alice)|wise(alice)))=>(?[X]:(~cr... | rich(alice) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 196446355411948986702104
% SZS output start Proof for 196446355411948986702104
16. ! [X0] : ((wise(X0) <~> ~wise(X0)) <=> (~rich(X0) & ~creative(X0))) [input p15]
24. rich(alice) [input hypothesis]
60. ! [X0] : ((((wise(X0) | ~wise(X0)) & (~wise(X0) | wise(X0))) | (rich(X0) | creative(X0)... | 0 |
Everyone who is either funny or not old is both rich and not patient and vice versa.
Everyone who is old or not curious is not curious and vice versa.
If someone is either not calm or not wise then fred is funny or old and vice versa.
Everyone who is rich is not brave or not strong.
Everyone who is not creative or tall... | Fred is not old. | neutral | (![X]:((funny(X)<~>~old(X))<=>(rich(X)&~patient(X))))&
(![X]:((old(X)|~curious(X))<=>~curious(X)))&
((?[X]:((~calm(X)<~>~wise(X))))<=>((funny(fred)|old(fred))))&
(![X]:(rich(X)=>(~brave(X)|~strong(X))))&
(![X]:((~creative(X)|tall(X))<=>humble(X)))&
((?[X]:((~humble(X)|generous(X))))<=>(?[X]:((creative(X)&quiet(X)))))&
... | ~old(fred) | [] | null | 0 |
If susan is not quiet or not generous then someone is both patient and not curious.
Everyone who is either not calm or not happy is either not old or not wise and vice versa.
If paul is curious or not creative then paul is both not funny and not old and vice versa.
Everyone who is not brave is brave or not tall.
Everyo... | Fred is not tall. | contradiction | (((~quiet(susan)|~generous(susan)))=>(?[X]:((patient(X)&~curious(X)))))&
(![X]:((~calm(X)<~>~happy(X))<=>(~old(X)<~>~wise(X))))&
(((curious(paul)|~creative(paul)))<=>((~funny(paul)&~old(paul))))&
(![X]:(~brave(X)=>(brave(X)|~tall(X))))&
(![X]:((~curious(X)&happy(X))<=>~tall(X)))&
((?[X]:((~brave(X)&~wise(X))))<=>(?[X]:... | ~tall(fred) | [
"p3",
"p4",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5425164910352150542307923
% SZS output start Proof for 5425164910352150542307923
4. ! [X0] : (~brave(X0) => (~tall(X0) | brave(X0))) [input p3]
5. ! [X0] : ((happy(X0) & ~curious(X0)) <=> ~tall(X0)) [input p4]
6. ? [X0] : (~wise(X0) & ~brave(X0)) <=> ? [X0] : (~tall(X0) & ~wise(X0)) [inpu... | 0 |
If someone is either not generous or not kind then someone is not calm or wise. Everyone who is both creative and strong is both curious and not funny and vice versa. Everyone who is both not patient and humble is either generous or funny and vice versa. Everyone who is either not rich or creative is both not funny and... | Fred is generous. | contradiction | ((?[X]:((~generous(X)<~>~kind(X))))=>(?[X]:((~calm(X)|wise(X)))))&
(![X]:((creative(X)&strong(X))<=>(curious(X)&~funny(X))))&
(![X]:((~patient(X)&humble(X))<=>(generous(X)<~>funny(X))))&
(![X]:((~rich(X)<~>creative(X))=>(~funny(X)&calm(X))))&
(![X]:((~funny(X)<~>brave(X))<=>(strong(X)|~quiet(X))))&
((?[X]:((brave(X)|ta... | generous(fred) | [
"p4",
"p5",
"p6",
"p10",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5709564623990431115862207
% SZS output start Proof for 5709564623990431115862207
5. ! [X0] : ((~funny(X0) <~> brave(X0)) <=> (~quiet(X0) | strong(X0))) [input p4]
6. ? [X0] : (tall(X0) | brave(X0)) <=> (wise(john) & funny(john)) [input p5]
7. ! [X0] : ((curious(X0) | quiet(X0)) <=> (~quie... | 0 |
Everyone who is not calm or creative is either rich or strong and vice versa.
Everyone who is either not tall or not strong is either not funny or funny and vice versa.
If someone is quiet or generous then john is both not generous and not happy and vice versa.
Everyone who is not strong or quiet is either creative or ... | John is wise. | neutral | (![X]:((~calm(X)|creative(X))<=>(rich(X)<~>strong(X))))&
(![X]:((~tall(X)<~>~strong(X))<=>(~funny(X)<~>funny(X))))&
((?[X]:((quiet(X)|generous(X))))<=>((~generous(john)&~happy(john))))&
(![X]:((~strong(X)|quiet(X))=>(creative(X)<~>~strong(X))))&
((strong(fred))=>(?[X]:(~tall(X))))&
(![X]:((~brave(X)<~>wise(X))=>(creati... | wise(john) | [] | null | 0 |
If mary is curious or generous then alice is both not old and not quiet and vice versa.
If mary is either patient or not strong then alice is both not rich and tall and vice versa.
If someone is wise then fred is not wise or patient and vice versa.
If paul is either not patient or generous then john is both generous an... | Mary is not curious. | entailment | (((curious(mary)|generous(mary)))<=>((~old(alice)&~quiet(alice))))&
(((patient(mary)<~>~strong(mary)))<=>((~rich(alice)&tall(alice))))&
((?[X]:(wise(X)))<=>((~wise(fred)|patient(fred))))&
(((~patient(paul)<~>generous(paul)))<=>((generous(john)&funny(john))))&
(((~rich(mary)&curious(mary)))<=>(?[X]:((generous(X)&~brave(... | ~curious(mary) | [
"p1",
"p8",
"p9",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1700151429100605766343486
% SZS output start Proof for 1700151429100605766343486
2. (patient(mary) <~> ~strong(mary)) <=> (tall(alice) & ~rich(alice)) [input p1]
9. ! [X0] : (rich(X0) <=> tall(X0)) [input p8]
10. ! [X0] : ((~wise(X0) | strong(X0)) <=> (~funny(X0) & patient(X0))) [input p9... | 0 |
If paul is brave then someone is both not patient and old and vice versa.
Everyone who is either not strong or brave is strong.
Everyone who is calm is both rich and not creative.
Everyone who is not funny is both not generous and kind and vice versa.
Everyone who is not curious is not patient.
Everyone who is either f... | Fred is curious. | entailment | ((brave(paul))<=>(?[X]:((~patient(X)&old(X)))))&
(![X]:((~strong(X)<~>brave(X))=>strong(X)))&
(![X]:(calm(X)=>(rich(X)&~creative(X))))&
(![X]:(~funny(X)<=>(~generous(X)&kind(X))))&
(![X]:(~curious(X)=>~patient(X)))&
(![X]:((funny(X)<~>~tall(X))<=>quiet(X)))&
(((~happy(john)<~>~brave(john)))<=>(?[X]:((kind(X)<~>patient(... | curious(fred) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4425570043923011652679613
% SZS output start Proof for 4425570043923011652679613
16. ! [X0] : ((curious(X0) & tall(X0)) <=> (rich(X0) | ~rich(X0))) [input p15]
24. ~curious(fred) [input hypothesis]
68. ! [X0] : (((curious(X0) & tall(X0)) | (~rich(X0) & rich(X0))) & ((rich(X0) | ~rich(X0))... | 0 |
If someone is not humble or not quiet then someone is brave and vice versa.
Everyone who is happy or brave is both quiet and happy and vice versa.
If someone is both not funny and not curious then alice is either kind or rich and vice versa.
If someone is not old or not curious then paul is not strong or not generous a... | Susan is curious. | contradiction | ((?[X]:((~humble(X)|~quiet(X))))<=>(?[X]:(brave(X))))&
(![X]:((happy(X)|brave(X))<=>(quiet(X)&happy(X))))&
((?[X]:((~funny(X)&~curious(X))))<=>((kind(alice)<~>rich(alice))))&
((?[X]:((~old(X)|~curious(X))))<=>((~strong(paul)|~generous(paul))))&
(((~rich(paul)&humble(paul)))<=>((creative(mary)<~>rich(mary))))&
(![X]:((~... | curious(susan) | [
"p1",
"p4",
"p7",
"p8",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 4939905706173109517512034
% SZS output start Proof for 4939905706173109517512034
2. ! [X0] : ((brave(X0) | happy(X0)) <=> (happy(X0) & quiet(X0))) [input p1]
5. (humble(paul) & ~rich(paul)) <=> (creative(mary) <~> rich(mary)) [input p4]
8. ? [X0] : (~curious(X0) | ~happy(X0)) => ~curious(... | 0 |
Everyone who is both not curious and kind is happy and vice versa.
If lucy is strong or happy then susan is not brave.
Everyone who is both not old and wise is rich or not old.
If someone is not brave or not patient then fred is old and vice versa.
If lucy is not creative then fred is not wise and vice versa.
Everyone ... | Lucy is creative. | entailment | (![X]:((~curious(X)&kind(X))<=>happy(X)))&
(((strong(lucy)|happy(lucy)))=>(~brave(susan)))&
(![X]:((~old(X)&wise(X))=>(rich(X)|~old(X))))&
((?[X]:((~brave(X)|~patient(X))))<=>(old(fred)))&
((~creative(lucy))<=>(~wise(fred)))&
(![X]:((brave(X)|~tall(X))<=>(calm(X)|~rich(X))))&
(![X]:((rich(X)&~patient(X))=>(tall(X)|curi... | creative(lucy) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3916070445119718125142022
% SZS output start Proof for 3916070445119718125142022
17. creative(lucy) & ~brave(lucy) [input p16]
22. ~creative(lucy) [input hypothesis]
110. creative(lucy) [cnf transformation 17]
117. ~creative(lucy) [cnf transformation 22]
160. 10 <=> creative(lucy) [avatar... | 0 |
Everyone who is either old or not funny is both not quiet and patient. Everyone who is not happy or not generous is not tall. If paul is both generous and kind then someone is both not quiet and calm and vice versa. If alice is kind or not creative then someone is kind. Everyone who is both not patient and creative is ... | Mary is not kind. | contradiction | (![X]:((old(X)<~>~funny(X))=>(~quiet(X)&patient(X))))&
(![X]:((~happy(X)|~generous(X))=>~tall(X)))&
(((generous(paul)&kind(paul)))<=>(?[X]:((~quiet(X)&calm(X)))))&
(((kind(alice)|~creative(alice)))=>(?[X]:(kind(X))))&
(![X]:((~patient(X)&creative(X))=>(~calm(X)<~>happy(X))))&
(![X]:(kind(X)<=>(old(X)<~>~patient(X))))&
... | ~kind(mary) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1509998655007860429980304
% SZS output start Proof for 1509998655007860429980304
19. kind(mary) [input p18]
25. ~kind(mary) [input hypothesis]
142. kind(mary) [cnf transformation 19]
150. ~kind(mary) [cnf transformation 25]
306. $false [subsumption resolution 150,142]
% SZS output end Pro... | 0 |
Everyone who is humble or not strong is either brave or not curious.
If john is both calm and not strong then alice is either quiet or tall and vice versa.
If someone is not quiet then someone is both not wise and wise and vice versa.
Everyone who is not tall is humble or not creative and vice versa.
If someone is both... | Susan is not old. | neutral | (![X]:((humble(X)|~strong(X))=>(brave(X)<~>~curious(X))))&
(((calm(john)&~strong(john)))<=>((quiet(alice)<~>tall(alice))))&
((?[X]:(~quiet(X)))<=>(?[X]:((~wise(X)&wise(X)))))&
(![X]:(~tall(X)<=>(humble(X)|~creative(X))))&
((?[X]:((~calm(X)&~strong(X))))<=>(?[X]:((~calm(X)<~>~patient(X)))))&
(![X]:((~creative(X)&generou... | ~old(susan) | [] | null | 0 |
Everyone who is funny or not creative is not generous or rich and vice versa. Everyone who is both curious and not kind is funny or generous and vice versa. Everyone who is not calm is either funny or quiet. Everyone who is either old or not tall is funny or old and vice versa. If lucy is both not humble and not creati... | Mary is not patient. | contradiction | (![X]:((funny(X)|~creative(X))<=>(~generous(X)|rich(X))))&
(![X]:((curious(X)&~kind(X))<=>(funny(X)|generous(X))))&
(![X]:(~calm(X)=>(funny(X)<~>quiet(X))))&
(![X]:((old(X)<~>~tall(X))<=>(funny(X)|old(X))))&
(((~humble(lucy)&~creative(lucy)))=>((~rich(mary)|patient(mary))))&
(((~creative(paul)&funny(paul)))=>(?[X]:((hu... | ~patient(mary) | [
"p1",
"p3",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5855556322273852887650315
% SZS output start Proof for 5855556322273852887650315
2. ! [X0] : ((~kind(X0) & curious(X0)) <=> (generous(X0) | funny(X0))) [input p1]
4. ! [X0] : ((old(X0) <~> ~tall(X0)) <=> (old(X0) | funny(X0))) [input p3]
10. ! [X0] : (tall(X0) => (patient(X0) | ~kind(X0))... | 0 |
Everyone who is both creative and generous is both funny and creative and vice versa.
Everyone who is either not curious or old is not old.
Everyone who is brave is both calm and generous.
Everyone who is both kind and not creative is both not quiet and not rich and vice versa.
Everyone who is not strong is both genero... | Lucy is patient. | neutral | (![X]:((creative(X)&generous(X))<=>(funny(X)&creative(X))))&
(![X]:((~curious(X)<~>old(X))=>~old(X)))&
(![X]:(brave(X)=>(calm(X)&generous(X))))&
(![X]:((kind(X)&~creative(X))<=>(~quiet(X)&~rich(X))))&
(![X]:(~strong(X)=>(generous(X)&~strong(X))))&
((?[X]:((old(X)|~kind(X))))<=>((~calm(lucy)|~wise(lucy))))&
(((strong(pa... | patient(lucy) | [] | null | 0 |
If someone is both not funny and not kind then someone is curious or funny. If someone is generous then someone is either generous or strong. If paul is humble then someone is both wise and not rich and vice versa. Everyone who is either not curious or not old is not generous and vice versa. If someone is either not ki... | John is tall. | contradiction | ((?[X]:((~funny(X)&~kind(X))))=>(?[X]:((curious(X)|funny(X)))))&
((?[X]:(generous(X)))=>(?[X]:((generous(X)<~>strong(X)))))&
((humble(paul))<=>(?[X]:((wise(X)&~rich(X)))))&
(![X]:((~curious(X)<~>~old(X))<=>~generous(X)))&
((?[X]:((~kind(X)<~>~old(X))))<=>((~wise(mary)&funny(mary))))&
(![X]:((curious(X)<~>humble(X))=>pa... | tall(john) | [
"p7",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 770558734543919282556262
% SZS output start Proof for 770558734543919282556262
8. ? [X0] : ~tall(X0) <=> ~tall(john) [input p7]
23. ? [X0] : ~tall(X0) [input p22]
25. tall(john) [input hypothesis]
61. (? [X0] : ~tall(X0) | tall(john)) & (~tall(john) | ! [X0] : tall(X0)) [nnf transformatio... | 0 |
If someone is both not quiet and patient then someone is either kind or not creative.
Everyone who is not tall or not strong is both generous and patient and vice versa.
Everyone who is both not kind and quiet is not patient and vice versa.
Everyone who is not creative or not strong is tall and vice versa.
Everyone who... | Fred is not creative. | neutral | ((?[X]:((~quiet(X)&patient(X))))=>(?[X]:((kind(X)<~>~creative(X)))))&
(![X]:((~tall(X)|~strong(X))<=>(generous(X)&patient(X))))&
(![X]:((~kind(X)&quiet(X))<=>~patient(X)))&
(![X]:((~creative(X)|~strong(X))<=>tall(X)))&
(![X]:((old(X)<~>curious(X))=>~quiet(X)))&
(![X]:((quiet(X)&~rich(X))=>(patient(X)<~>rich(X))))&
(((~... | ~creative(fred) | [] | null | 0 |
Everyone who is either not old or not rich is either not calm or not tall and vice versa.
If alice is not brave or quiet then john is either happy or not humble and vice versa.
If someone is not patient or quiet then alice is curious or creative and vice versa.
If alice is both strong and not kind then someone is eithe... | Alice is patient. | contradiction | (![X]:((~old(X)<~>~rich(X))<=>(~calm(X)<~>~tall(X))))&
(((~brave(alice)|quiet(alice)))<=>((happy(john)<~>~humble(john))))&
((?[X]:((~patient(X)|quiet(X))))<=>((curious(alice)|creative(alice))))&
(((strong(alice)&~kind(alice)))=>(?[X]:((quiet(X)<~>~curious(X)))))&
(![X]:((~humble(X)&~curious(X))<=>(~happy(X)<~>~patient(... | patient(alice) | [
"p1",
"p4",
"p9",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1585469680303334467833675
% SZS output start Proof for 1585469680303334467833675
2. (quiet(alice) | ~brave(alice)) <=> (happy(john) <~> ~humble(john)) [input p1]
5. ! [X0] : ((~curious(X0) & ~humble(X0)) <=> (~happy(X0) <~> ~patient(X0))) [input p4]
10. ! [X0] : ((~brave(X0) & ~creative(X... | 0 |
Everyone who is either wise or not patient is both not rich and generous and vice versa.
If someone is either happy or strong then mary is both not humble and not strong.
Everyone who is humble is either patient or not brave and vice versa.
Everyone who is not curious or not patient is not tall or brave.
If someone is ... | Mary is humble. | entailment | (![X]:((wise(X)<~>~patient(X))<=>(~rich(X)&generous(X))))&
((?[X]:((happy(X)<~>strong(X))))=>((~humble(mary)&~strong(mary))))&
(![X]:(humble(X)<=>(patient(X)<~>~brave(X))))&
(![X]:((~curious(X)|~patient(X))=>(~tall(X)|brave(X))))&
((?[X]:((~brave(X)<~>~creative(X))))<=>(?[X]:((humble(X)|~rich(X)))))&
(![X]:((curious(X)... | humble(mary) | [
"p0",
"p2",
"p3",
"p5",
"p6",
"p8",
"p10",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5994670142401721249237098
% SZS output start Proof for 5994670142401721249237098
1. ! [X0] : ((wise(X0) <~> ~patient(X0)) <=> (generous(X0) & ~rich(X0))) [input p0]
3. ! [X0] : (humble(X0) <=> (patient(X0) <~> ~brave(X0))) [input p2]
4. ! [X0] : ((~patient(X0) | ~curious(X0)) => (brave(X0... | 0 |
Everyone who is not tall or not strong is both not curious and not funny.
If john is both old and calm then someone is not kind or kind and vice versa.
Everyone who is creative is not humble and vice versa.
If mary is either funny or not tall then someone is both funny and old.
If someone is both not calm and not wise ... | Paul is humble. | contradiction | (![X]:((~tall(X)|~strong(X))=>(~curious(X)&~funny(X))))&
(((old(john)&calm(john)))<=>(?[X]:((~kind(X)|kind(X)))))&
(![X]:(creative(X)<=>~humble(X)))&
(((funny(mary)<~>~tall(mary)))=>(?[X]:((funny(X)&old(X)))))&
((?[X]:((~calm(X)&~wise(X))))<=>(?[X]:((~patient(X)<~>~calm(X)))))&
(![X]:((strong(X)<~>wise(X))=>(funny(X)<~... | humble(paul) | [
"p2",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1929136006341042143541732
% SZS output start Proof for 1929136006341042143541732
3. ! [X0] : (creative(X0) <=> ~humble(X0)) [input p2]
9. ! [X0] : (curious(X0) => (curious(X0) & kind(X0))) [input p8]
11. ? [X0] : ~brave(X0) => (~curious(paul) | ~kind(paul)) [input p10]
14. ! [X0] : ((brav... | 0 |
Everyone who is either not kind or quiet is happy and vice versa.
If someone is either patient or curious then someone is either not happy or tall and vice versa.
Everyone who is both wise and patient is either not kind or calm and vice versa.
Everyone who is either wise or not quiet is both not tall and not brave.
Eve... | Alice is tall. | contradiction | (![X]:((~kind(X)<~>quiet(X))<=>happy(X)))&
((?[X]:((patient(X)<~>curious(X))))<=>(?[X]:((~happy(X)<~>tall(X)))))&
(![X]:((wise(X)&patient(X))<=>(~kind(X)<~>calm(X))))&
(![X]:((wise(X)<~>~quiet(X))=>(~tall(X)&~brave(X))))&
(![X]:((~old(X)&patient(X))<=>(brave(X)<~>old(X))))&
(![X]:((tall(X)&rich(X))<=>(~humble(X)|genero... | tall(alice) | [
"p0",
"p2",
"p3",
"p7",
"p9",
"p12",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2054915953733980997452047
% SZS output start Proof for 2054915953733980997452047
1. ! [X0] : ((~kind(X0) <~> quiet(X0)) <=> happy(X0)) [input p0]
3. ! [X0] : ((patient(X0) & wise(X0)) <=> (~kind(X0) <~> calm(X0))) [input p2]
4. ! [X0] : ((wise(X0) <~> ~quiet(X0)) => (~brave(X0) & ~tall(X0... | 0 |
Everyone who is either tall or not rich is either not wise or not creative.
Everyone who is both curious and calm is either not funny or humble.
If fred is not strong then someone is either not funny or tall.
Everyone who is not strong is strong or quiet and vice versa.
Everyone who is creative is not wise or not old.
... | Alice is kind. | entailment | (![X]:((tall(X)<~>~rich(X))=>(~wise(X)<~>~creative(X))))&
(![X]:((curious(X)&calm(X))=>(~funny(X)<~>humble(X))))&
((~strong(fred))=>(?[X]:((~funny(X)<~>tall(X)))))&
(![X]:(~strong(X)<=>(strong(X)|quiet(X))))&
(![X]:(creative(X)=>(~wise(X)|~old(X))))&
(![X]:(creative(X)=>(quiet(X)&kind(X))))&
(![X]:((wise(X)<~>~kind(X))... | kind(alice) | [
"p5",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5533734029303113550886880
% SZS output start Proof for 5533734029303113550886880
6. ! [X0] : (creative(X0) => (kind(X0) & quiet(X0))) [input p5]
15. ! [X0] : (creative(X0) <=> ~tall(X0)) [input p14]
16. ~tall(alice) & quiet(alice) [input p15]
22. ~kind(alice) [input hypothesis]
32. ! [X0]... | 0 |
Everyone who is rich or not patient is both generous and wise.
If someone is tall or patient then someone is either strong or not strong.
Everyone who is both not kind and not generous is not patient or calm and vice versa.
Everyone who is either tall or not creative is rich or not tall and vice versa.
Everyone who is ... | Mary is not calm. | entailment | (![X]:((rich(X)|~patient(X))=>(generous(X)&wise(X))))&
((?[X]:((tall(X)|patient(X))))=>(?[X]:((strong(X)<~>~strong(X)))))&
(![X]:((~kind(X)&~generous(X))<=>(~patient(X)|calm(X))))&
(![X]:((tall(X)<~>~creative(X))<=>(rich(X)|~tall(X))))&
(![X]:((~patient(X)|brave(X))<=>humble(X)))&
(![X]:((~strong(X)|generous(X))<=>(hap... | ~calm(mary) | [
"p0",
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5782467922167245376967220
% SZS output start Proof for 5782467922167245376967220
1. ! [X0] : ((~patient(X0) | rich(X0)) => (wise(X0) & generous(X0))) [input p0]
3. ! [X0] : ((~generous(X0) & ~kind(X0)) <=> (calm(X0) | ~patient(X0))) [input p2]
10. ! [X0] : (kind(X0) <=> ~rich(X0)) [input ... | 0 |
If fred is calm or not old then someone is both not brave and rich and vice versa. Everyone who is both generous and not kind is calm or patient and vice versa. If someone is either not kind or humble then alice is either not wise or calm and vice versa. Everyone who is both generous and not rich is happy or not kind a... | John is not generous. | contradiction | (((calm(fred)|~old(fred)))<=>(?[X]:((~brave(X)&rich(X)))))&
(![X]:((generous(X)&~kind(X))<=>(calm(X)|patient(X))))&
((?[X]:((~kind(X)<~>humble(X))))<=>((~wise(alice)<~>calm(alice))))&
(![X]:((generous(X)&~rich(X))<=>(happy(X)|~kind(X))))&
(((~rich(john)<~>~tall(john)))<=>(?[X]:((~creative(X)|~patient(X)))))&
((?[X]:(~o... | ~generous(john) | [
"p1",
"p4",
"p7",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1622992658027692918629863
% SZS output start Proof for 1622992658027692918629863
2. ! [X0] : ((~kind(X0) & generous(X0)) <=> (patient(X0) | calm(X0))) [input p1]
5. (~rich(john) <~> ~tall(john)) <=> ? [X0] : (~patient(X0) | ~creative(X0)) [input p4]
8. ! [X0] : ((~rich(X0) & kind(X0)) <=>... | 0 |
If someone is not funny then someone is creative or not kind and vice versa.
If john is not brave then lucy is either tall or not tall and vice versa.
Everyone who is either humble or not creative is either patient or not happy and vice versa.
If alice is either humble or not quiet then someone is rich and vice versa.
... | Paul is generous. | neutral | ((?[X]:(~funny(X)))<=>(?[X]:((creative(X)|~kind(X)))))&
((~brave(john))<=>((tall(lucy)<~>~tall(lucy))))&
(![X]:((humble(X)<~>~creative(X))<=>(patient(X)<~>~happy(X))))&
(((humble(alice)<~>~quiet(alice)))<=>(?[X]:(rich(X))))&
((?[X]:((~humble(X)|humble(X))))=>(?[X]:(~kind(X))))&
(![X]:(~old(X)<=>(humble(X)|~wise(X))))&
... | generous(paul) | [] | null | 0 |
If mary is calm or rich then fred is either kind or not calm and vice versa.
If mary is old then john is old and vice versa.
Everyone who is happy or funny is not old or not humble.
Everyone who is not generous is both strong and not humble.
If susan is both rich and calm then someone is either funny or patient and vic... | Fred is not funny. | neutral | (((calm(mary)|rich(mary)))<=>((kind(fred)<~>~calm(fred))))&
((old(mary))<=>(old(john)))&
(![X]:((happy(X)|funny(X))=>(~old(X)|~humble(X))))&
(![X]:(~generous(X)=>(strong(X)&~humble(X))))&
(((rich(susan)&calm(susan)))<=>(?[X]:((funny(X)<~>patient(X)))))&
(![X]:((~quiet(X)&~kind(X))<=>(calm(X)|~generous(X))))&
((?[X]:((g... | ~funny(fred) | [] | null | 0 |
If someone is both kind and not curious then someone is both not wise and not calm and vice versa. If paul is generous or humble then mary is either not generous or calm. If someone is not funny or not kind then mary is not humble or not tall and vice versa. If someone is tall then someone is either not tall or not qui... | Mary is old. | entailment | ((?[X]:((kind(X)&~curious(X))))<=>(?[X]:((~wise(X)&~calm(X)))))&
(((generous(paul)|humble(paul)))=>((~generous(mary)<~>calm(mary))))&
((?[X]:((~funny(X)|~kind(X))))<=>((~humble(mary)|~tall(mary))))&
((?[X]:(tall(X)))<=>(?[X]:((~tall(X)<~>~quiet(X)))))&
(![X]:((~curious(X)&creative(X))=>(calm(X)<~>funny(X))))&
(![X]:((h... | old(mary) | [
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6825118851933364448944164
% SZS output start Proof for 6825118851933364448944164
6. ! [X0] : ((~humble(X0) & happy(X0)) <=> (~old(X0) & humble(X0))) [input p5]
12. ! [X0] : ((creative(X0) | ~old(X0)) => humble(X0)) [input p11]
25. ~old(mary) [input hypothesis]
39. ! [X0] : (humble(X0) | (... | 0 |
Everyone who is funny or not humble is rich.
Everyone who is tall or not happy is both not generous and calm.
If mary is not generous or not happy then susan is either not funny or not generous and vice versa.
If fred is either not tall or not calm then someone is brave and vice versa.
Everyone who is both calm and not... | Fred is creative. | entailment | (![X]:((funny(X)|~humble(X))=>rich(X)))&
(![X]:((tall(X)|~happy(X))=>(~generous(X)&calm(X))))&
(((~generous(mary)|~happy(mary)))<=>((~funny(susan)<~>~generous(susan))))&
(((~tall(fred)<~>~calm(fred)))<=>(?[X]:(brave(X))))&
(![X]:((calm(X)&~wise(X))=>(brave(X)<~>~patient(X))))&
((?[X]:((~curious(X)&patient(X))))<=>(~hap... | creative(fred) | [
"p0",
"p8",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6901484577528931239212682
% SZS output start Proof for 6901484577528931239212682
1. ! [X0] : ((~humble(X0) | funny(X0)) => rich(X0)) [input p0]
9. ! [X0] : (creative(X0) <=> ~funny(X0)) [input p8]
20. ~funny(fred) <~> ~rich(fred) [input p19]
24. ~creative(fred) [input hypothesis]
27. ! [X... | 0 |
If someone is quiet then someone is not generous or not rich and vice versa.
Everyone who is either not curious or not creative is both not old and calm.
Everyone who is not brave or creative is either creative or not old.
If someone is both not happy and not funny then alice is both not strong and brave.
Everyone who ... | Susan is curious. | entailment | ((?[X]:(quiet(X)))<=>(?[X]:((~generous(X)|~rich(X)))))&
(![X]:((~curious(X)<~>~creative(X))=>(~old(X)&calm(X))))&
(![X]:((~brave(X)|creative(X))=>(creative(X)<~>~old(X))))&
((?[X]:((~happy(X)&~funny(X))))=>((~strong(alice)&brave(alice))))&
(![X]:((old(X)|kind(X))<=>quiet(X)))&
((~creative(susan))=>((curious(john)&funny... | curious(susan) | [
"p1",
"p2",
"p4",
"p5",
"p8",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5051271010806551775270890
% SZS output start Proof for 5051271010806551775270890
2. ! [X0] : ((~curious(X0) <~> ~creative(X0)) => (calm(X0) & ~old(X0))) [input p1]
3. ! [X0] : ((creative(X0) | ~brave(X0)) => (creative(X0) <~> ~old(X0))) [input p2]
5. ! [X0] : ((kind(X0) | old(X0)) <=> qui... | 0 |
Everyone who is rich is either humble or not patient.
If john is both brave and humble then someone is wise or tall.
If someone is either not brave or humble then someone is either not creative or tall and vice versa.
Everyone who is not wise or not quiet is not humble and vice versa.
Everyone who is both rich and curi... | Fred is generous. | neutral | (![X]:(rich(X)=>(humble(X)<~>~patient(X))))&
(((brave(john)&humble(john)))=>(?[X]:((wise(X)|tall(X)))))&
((?[X]:((~brave(X)<~>humble(X))))<=>(?[X]:((~creative(X)<~>tall(X)))))&
(![X]:((~wise(X)|~quiet(X))<=>~humble(X)))&
(![X]:((rich(X)&curious(X))=>(~creative(X)<~>~curious(X))))&
(![X]:((generous(X)&kind(X))=>~kind(X)... | generous(fred) | [] | null | 0 |
Everyone who is rich is not wise. Everyone who is creative or not wise is not happy or strong. If someone is tall or not brave then lucy is wise or funny and vice versa. Everyone who is tall or not patient is either old or not curious and vice versa. Everyone who is quiet or not funny is kind or humble and vice versa. ... | Lucy is funny. | neutral | (![X]:(rich(X)=>~wise(X)))&
(![X]:((creative(X)|~wise(X))=>(~happy(X)|strong(X))))&
((?[X]:((tall(X)|~brave(X))))<=>((wise(lucy)|funny(lucy))))&
(![X]:((tall(X)|~patient(X))<=>(old(X)<~>~curious(X))))&
(![X]:((quiet(X)|~funny(X))<=>(kind(X)|humble(X))))&
(![X]:((generous(X)&~brave(X))<=>humble(X)))&
(![X]:((generous(X)... | funny(lucy) | [] | null | 0 |
If john is either not rich or old then someone is both humble and not happy and vice versa.
If mary is both not creative and old then someone is either not patient or not old.
Everyone who is both tall and not wise is kind and vice versa.
If alice is either not funny or not strong then someone is either calm or old and... | Susan is kind. | contradiction | (((~rich(john)<~>old(john)))<=>(?[X]:((humble(X)&~happy(X)))))&
(((~creative(mary)&old(mary)))=>(?[X]:((~patient(X)<~>~old(X)))))&
(![X]:((tall(X)&~wise(X))<=>kind(X)))&
(((~funny(alice)<~>~strong(alice)))<=>(?[X]:((calm(X)<~>old(X)))))&
(((~wise(alice)|~calm(alice)))=>((~creative(paul)<~>wise(paul))))&
(![X]:((~creati... | kind(susan) | [
"p2",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 4190205009990648179711443
% SZS output start Proof for 4190205009990648179711443
3. ! [X0] : ((~wise(X0) & tall(X0)) <=> kind(X0)) [input p2]
23. wise(susan) & brave(susan) [input p22]
25. kind(susan) [input hypothesis]
27. ! [X0] : (kind(X0) => (~wise(X0) & tall(X0))) [unused predicate d... | 0 |
If someone is either not creative or not curious then fred is both happy and not happy and vice versa. Everyone who is kind or calm is both not funny and tall. Everyone who is both not brave and old is either not rich or brave and vice versa. If john is either humble or not kind then fred is both tall and curious and v... | Lucy is not curious. | contradiction | ((?[X]:((~creative(X)<~>~curious(X))))<=>((happy(fred)&~happy(fred))))&
(![X]:((kind(X)|calm(X))=>(~funny(X)&tall(X))))&
(![X]:((~brave(X)&old(X))<=>(~rich(X)<~>brave(X))))&
(((humble(john)<~>~kind(john)))<=>((tall(fred)&curious(fred))))&
(![X]:((tall(X)<~>~kind(X))<=>(tall(X)|~calm(X))))&
((?[X]:((creative(X)&~old(X))... | ~curious(lucy) | [
"p0",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 182764007032401376418159
% SZS output start Proof for 182764007032401376418159
1. ? [X0] : (~creative(X0) <~> ~curious(X0)) <=> (~happy(fred) & happy(fred)) [input p0]
8. ! [X0] : (patient(X0) <=> (old(X0) & ~patient(X0))) [input p7]
15. ! [X0] : ((patient(X0) <~> ~creative(X0)) <=> (curi... | 0 |
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