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 generous or curious is not curious or quiet and vice versa.
Everyone who is either funny or tall is creative.
If mary is calm then someone is not old.
If someone is wise or not calm then someone is patient and vice versa.
Everyone who is not quiet or not creative is either not tall or quiet.
If mary is ... | Fred is creative. | entailment | (![X]:((generous(X)|curious(X))<=>(~curious(X)|quiet(X))))&
(![X]:((funny(X)<~>tall(X))=>creative(X)))&
((calm(mary))=>(?[X]:(~old(X))))&
((?[X]:((wise(X)|~calm(X))))<=>(?[X]:(patient(X))))&
(![X]:((~quiet(X)|~creative(X))=>(~tall(X)<~>quiet(X))))&
(((creative(mary)&brave(mary)))<=>((~curious(susan)&brave(susan))))&
(!... | creative(fred) | [
"p0",
"p4",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1632275882603972735196702
% SZS output start Proof for 1632275882603972735196702
1. ! [X0] : ((curious(X0) | generous(X0)) <=> (quiet(X0) | ~curious(X0))) [input p0]
5. ! [X0] : ((~creative(X0) | ~quiet(X0)) => (~tall(X0) <~> quiet(X0))) [input p4]
16. ! [X0] : ((~humble(X0) & ~tall(X0)) ... | 0 |
If susan is happy or tall then susan is either brave or happy and vice versa.
If someone is either patient or strong then paul is both not patient and not tall.
Everyone who is funny is not patient and vice versa.
If paul is curious or not wise then paul is curious.
If someone is not old then someone is either strong o... | Mary is not generous. | neutral | (((happy(susan)|tall(susan)))<=>((brave(susan)<~>happy(susan))))&
((?[X]:((patient(X)<~>strong(X))))=>((~patient(paul)&~tall(paul))))&
(![X]:(funny(X)<=>~patient(X)))&
(((curious(paul)|~wise(paul)))=>(curious(paul)))&
((?[X]:(~old(X)))=>(?[X]:((strong(X)<~>~strong(X)))))&
((?[X]:((~patient(X)<~>~happy(X))))<=>(brave(ma... | ~generous(mary) | [] | null | 0 |
Everyone who is both patient and rich is strong or not strong and vice versa. Everyone who is humble is creative or not patient and vice versa. If paul is either humble or generous then someone is either brave or not quiet and vice versa. If someone is both old and tall then someone is either humble or not quiet. Every... | Paul is humble. | neutral | (![X]:((patient(X)&rich(X))<=>(strong(X)|~strong(X))))&
(![X]:(humble(X)<=>(creative(X)|~patient(X))))&
(((humble(paul)<~>generous(paul)))<=>(?[X]:((brave(X)<~>~quiet(X)))))&
((?[X]:((old(X)&tall(X))))=>(?[X]:((humble(X)<~>~quiet(X)))))&
(![X]:((~tall(X)|wise(X))=>~creative(X)))&
(((quiet(mary)<~>~humble(mary)))<=>(?[X... | humble(paul) | [] | null | 0 |
If someone is both not kind and not brave then susan is not humble.
If someone is old or not calm then paul is tall and vice versa.
Everyone who is old or funny is both not tall and not funny and vice versa.
If someone is either not happy or kind then mary is rich or curious.
If john is both not funny and not tall then... | Fred is not creative. | entailment | ((?[X]:((~kind(X)&~brave(X))))=>(~humble(susan)))&
((?[X]:((old(X)|~calm(X))))<=>(tall(paul)))&
(![X]:((old(X)|funny(X))<=>(~tall(X)&~funny(X))))&
((?[X]:((~happy(X)<~>kind(X))))=>((rich(mary)|curious(mary))))&
(((~funny(john)&~tall(john)))<=>((quiet(fred)<~>wise(fred))))&
(((generous(alice)|~kind(alice)))=>(?[X]:((kin... | ~creative(fred) | [
"p2",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1345848985143572649894707
% SZS output start Proof for 1345848985143572649894707
3. ! [X0] : ((funny(X0) | old(X0)) <=> (~funny(X0) & ~tall(X0))) [input p2]
13. ? [X0] : creative(X0) <=> (~tall(susan) & ~quiet(susan)) [input p12]
16. ! [X0] : ((~tall(X0) | strong(X0)) => funny(X0)) [input... | 0 |
If lucy is both patient and not wise then someone is rich. Everyone who is both happy and not generous is either calm or not old and vice versa. If someone is happy or not tall then someone is both not old and quiet and vice versa. Everyone who is generous is either old or not rich and vice versa. Everyone who is not c... | Fred is not happy. | contradiction | (((patient(lucy)&~wise(lucy)))=>(?[X]:(rich(X))))&
(![X]:((happy(X)&~generous(X))<=>(calm(X)<~>~old(X))))&
((?[X]:((happy(X)|~tall(X))))<=>(?[X]:((~old(X)&quiet(X)))))&
(![X]:(generous(X)<=>(old(X)<~>~rich(X))))&
(![X]:(~curious(X)<=>(funny(X)&~brave(X))))&
(![X]:((~happy(X)<~>~funny(X))=>brave(X)))&
(![X]:((~happy(X)<... | ~happy(fred) | [
"p1",
"p4",
"p5",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8572593509089148312438010
% SZS output start Proof for 8572593509089148312438010
2. ! [X0] : ((~generous(X0) & happy(X0)) <=> (calm(X0) <~> ~old(X0))) [input p1]
5. ! [X0] : (~curious(X0) <=> (~brave(X0) & funny(X0))) [input p4]
6. ! [X0] : ((~happy(X0) <~> ~funny(X0)) => brave(X0)) [inpu... | 0 |
Everyone who is either not tall or not curious is not strong and vice versa.
Everyone who is both humble and curious is both not patient and not humble.
Everyone who is not strong is either brave or not strong.
Everyone who is both kind and not happy is either generous or not generous and vice versa.
Everyone who is bo... | Lucy is not happy. | entailment | (![X]:((~tall(X)<~>~curious(X))<=>~strong(X)))&
(![X]:((humble(X)&curious(X))=>(~patient(X)&~humble(X))))&
(![X]:(~strong(X)=>(brave(X)<~>~strong(X))))&
(![X]:((kind(X)&~happy(X))<=>(generous(X)<~>~generous(X))))&
(![X]:((calm(X)&~brave(X))=>(~tall(X)<~>~calm(X))))&
((?[X]:((old(X)<~>creative(X))))<=>(?[X]:((~happy(X)<... | ~happy(lucy) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 1064373393350720613435310
% SZS output start Proof for 1064373393350720613435310
4. ! [X0] : ((~happy(X0) & kind(X0)) <=> (generous(X0) <~> ~generous(X0))) [input p3]
23. happy(lucy) [input hypothesis]
43. ! [X0] : (((~happy(X0) & kind(X0)) | ((generous(X0) | generous(X0)) & (~generous(X0... | 0 |
If paul is not tall then someone is both not calm and not strong.
Everyone who is not generous is both not happy and tall.
Everyone who is tall or humble is either not creative or not funny.
Everyone who is both not curious and calm is either not wise or not curious.
Everyone who is either not generous or not humble is... | John is curious. | neutral | ((~tall(paul))=>(?[X]:((~calm(X)&~strong(X)))))&
(![X]:(~generous(X)=>(~happy(X)&tall(X))))&
(![X]:((tall(X)|humble(X))=>(~creative(X)<~>~funny(X))))&
(![X]:((~curious(X)&calm(X))=>(~wise(X)<~>~curious(X))))&
(![X]:((~generous(X)<~>~humble(X))=>(~rich(X)|funny(X))))&
(![X]:((brave(X)<~>humble(X))=>(~quiet(X)&calm(X))))... | curious(john) | [] | null | 0 |
If someone is either patient or strong then mary is both not curious and not kind. If mary is not strong then someone is not wise or happy. Everyone who is not happy is both generous and not creative. Everyone who is old or funny is not happy. Everyone who is not creative or not patient is both not strong and strong an... | Mary is rich. | contradiction | ((?[X]:((patient(X)<~>strong(X))))=>((~curious(mary)&~kind(mary))))&
((~strong(mary))=>(?[X]:((~wise(X)|happy(X)))))&
(![X]:(~happy(X)=>(generous(X)&~creative(X))))&
(![X]:((old(X)|funny(X))=>~happy(X)))&
(![X]:((~creative(X)|~patient(X))<=>(~strong(X)&strong(X))))&
(![X]:((~humble(X)<~>~calm(X))=>generous(X)))&
((?[X]... | rich(mary) | [
"p4",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2365401265876525267561297
% SZS output start Proof for 2365401265876525267561297
5. ! [X0] : ((~patient(X0) | ~creative(X0)) <=> (strong(X0) & ~strong(X0))) [input p4]
10. ? [X0] : (~brave(X0) | funny(X0)) <=> ? [X0] : (~patient(X0) & ~generous(X0)) [input p9]
13. ~rich(mary) <=> (~funny(... | 0 |
Everyone who is not old or patient is either not creative or not tall and vice versa. Everyone who is not humble or not happy is old. Everyone who is both not kind and not humble is not creative and vice versa. If someone is either not patient or not rich then someone is not patient or not tall. Everyone who is not ric... | John is happy. | entailment | (![X]:((~old(X)|patient(X))<=>(~creative(X)<~>~tall(X))))&
(![X]:((~humble(X)|~happy(X))=>old(X)))&
(![X]:((~kind(X)&~humble(X))<=>~creative(X)))&
((?[X]:((~patient(X)<~>~rich(X))))=>(?[X]:((~patient(X)|~tall(X)))))&
(![X]:(~rich(X)<=>(~creative(X)&happy(X))))&
((old(mary))=>((~wise(paul)|~happy(paul))))&
(![X]:((~humb... | happy(john) | [
"p4",
"p6",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4634715087389222038433869
% SZS output start Proof for 4634715087389222038433869
5. ! [X0] : (~rich(X0) <=> (happy(X0) & ~creative(X0))) [input p4]
7. ! [X0] : ((old(X0) | ~humble(X0)) <=> (~rich(X0) & old(X0))) [input p6]
10. ? [X0] : (~quiet(X0) | ~old(X0)) <=> (~curious(mary) & ~funny(... | 0 |
Everyone who is either quiet or funny is strong.
If someone is both not calm and not old then someone is curious and vice versa.
If alice is both funny and calm then someone is not calm.
Everyone who is not tall is either not curious or not creative and vice versa.
If john is both not funny and rich then mary is both n... | John is not brave. | entailment | (![X]:((quiet(X)<~>funny(X))=>strong(X)))&
((?[X]:((~calm(X)&~old(X))))<=>(?[X]:(curious(X))))&
(((funny(alice)&calm(alice)))=>(?[X]:(~calm(X))))&
(![X]:(~tall(X)<=>(~curious(X)<~>~creative(X))))&
(((~funny(john)&rich(john)))=>((~rich(mary)&~strong(mary))))&
(![X]:(calm(X)<=>(~old(X)&~quiet(X))))&
(![X]:(creative(X)<=>... | ~brave(john) | [
"p6",
"p11",
"p14",
"p15",
"p16",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3504615533910497651994796
% SZS output start Proof for 3504615533910497651994796
7. ! [X0] : (creative(X0) <=> (rich(X0) & ~humble(X0))) [input p6]
12. ! [X0] : ((~generous(X0) | ~humble(X0)) <=> quiet(X0)) [input p11]
15. ? [X0] : ~strong(X0) <=> creative(alice) [input p14]
16. ! [X0] : ... | 0 |
If someone is not old or calm then someone is not rich or rich and vice versa.
If john is old then someone is both wise and not rich and vice versa.
Everyone who is both not tall and quiet is kind and vice versa.
Everyone who is old is either patient or not tall.
Everyone who is calm or not generous is both not curious... | Susan is humble. | neutral | ((?[X]:((~old(X)|calm(X))))<=>(?[X]:((~rich(X)|rich(X)))))&
((old(john))<=>(?[X]:((wise(X)&~rich(X)))))&
(![X]:((~tall(X)&quiet(X))<=>kind(X)))&
(![X]:(old(X)=>(patient(X)<~>~tall(X))))&
(![X]:((calm(X)|~generous(X))<=>(~curious(X)&~brave(X))))&
((?[X]:((old(X)&strong(X))))<=>((patient(paul)&generous(paul))))&
((?[X]:(... | humble(susan) | [] | null | 0 |
Everyone who is both not curious and not creative is either rich or not happy and vice versa.
If john is both patient and not quiet then someone is both not funny and not brave and vice versa.
Everyone who is kind or quiet is not quiet or tall.
Everyone who is quiet is both not creative and not calm and vice versa.
If ... | Lucy is not happy. | neutral | (![X]:((~curious(X)&~creative(X))<=>(rich(X)<~>~happy(X))))&
(((patient(john)&~quiet(john)))<=>(?[X]:((~funny(X)&~brave(X)))))&
(![X]:((kind(X)|quiet(X))=>(~quiet(X)|tall(X))))&
(![X]:(quiet(X)<=>(~creative(X)&~calm(X))))&
((~kind(alice))<=>((~kind(alice)&calm(alice))))&
(![X]:((~happy(X)&~patient(X))<=>(~kind(X)<~>~hu... | ~happy(lucy) | [] | null | 0 |
Everyone who is not old is either brave or not kind and vice versa.
Everyone who is either not curious or strong is either not brave or wise and vice versa.
If mary is not patient or not quiet then susan is old.
Everyone who is not brave or old is not brave and vice versa.
Everyone who is happy is rich or not generous ... | Susan is tall. | entailment | (![X]:(~old(X)<=>(brave(X)<~>~kind(X))))&
(![X]:((~curious(X)<~>strong(X))<=>(~brave(X)<~>wise(X))))&
(((~patient(mary)|~quiet(mary)))=>(old(susan)))&
(![X]:((~brave(X)|old(X))<=>~brave(X)))&
(![X]:(happy(X)<=>(rich(X)|~generous(X))))&
(![X]:(~tall(X)<=>~kind(X)))&
(![X]:(~tall(X)=>~humble(X)))&
(![X]:(~humble(X)<=>(ha... | tall(susan) | [
"p0",
"p2",
"p3",
"p5",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6984264700670833536853071
% SZS output start Proof for 6984264700670833536853071
1. ! [X0] : (~old(X0) <=> (brave(X0) <~> ~kind(X0))) [input p0]
3. (~quiet(mary) | ~patient(mary)) => old(susan) [input p2]
4. ! [X0] : ((old(X0) | ~brave(X0)) <=> ~brave(X0)) [input p3]
6. ! [X0] : (~tall(X0... | 0 |
Everyone who is either happy or curious is either not kind or patient. If someone is not old then susan is not brave. If fred is both old and not brave then someone is not wise or not curious. If someone is either happy or not generous then someone is both not happy and kind. If someone is both generous and not wise th... | Paul is humble. | entailment | (![X]:((happy(X)<~>curious(X))=>(~kind(X)<~>patient(X))))&
((?[X]:(~old(X)))=>(~brave(susan)))&
(((old(fred)&~brave(fred)))=>(?[X]:((~wise(X)|~curious(X)))))&
((?[X]:((happy(X)<~>~generous(X))))=>(?[X]:((~happy(X)&kind(X)))))&
((?[X]:((generous(X)&~wise(X))))<=>(?[X]:(~generous(X))))&
(((~kind(mary)&quiet(mary)))<=>((c... | humble(paul) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2275487697557320471901835
% SZS output start Proof for 2275487697557320471901835
13. ! [X0] : ((~wise(X0) & wise(X0)) <=> (~humble(X0) | ~creative(X0))) [input p12]
24. ~humble(paul) [input hypothesis]
73. ! [X0] : (((~wise(X0) & wise(X0)) | (humble(X0) & creative(X0))) & ((~humble(X0) | ... | 0 |
If someone is either not humble or not curious then john is either not wise or generous.
If someone is not curious or not tall then lucy is both not humble and not brave and vice versa.
If someone is wise or not curious then susan is not humble or not rich and vice versa.
If someone is both humble and not wise then som... | Susan is not humble. | neutral | ((?[X]:((~humble(X)<~>~curious(X))))=>((~wise(john)<~>generous(john))))&
((?[X]:((~curious(X)|~tall(X))))<=>((~humble(lucy)&~brave(lucy))))&
((?[X]:((wise(X)|~curious(X))))<=>((~humble(susan)|~rich(susan))))&
((?[X]:((humble(X)&~wise(X))))=>(?[X]:((tall(X)&~wise(X)))))&
(![X]:((~happy(X)|generous(X))<=>quiet(X)))&
((?[... | ~humble(susan) | [] | null | 0 |
Everyone who is both not generous and strong is not rich or not curious. Everyone who is both brave and strong is both patient and brave and vice versa. Everyone who is not brave is not quiet. Everyone who is old is both not humble and old and vice versa. If someone is quiet then alice is both creative and not old and ... | John is funny. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((brave(X)&strong(X))<=>(patient(X)&brave(X))))&
(![X]:(~brave(X)=>~quiet(X)))&
(![X]:(old(X)<=>(~humble(X)&old(X))))&
((?[X]:(quiet(X)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong... | funny(john) | [] | null | 0 |
Everyone who is either humble or old is funny or generous and vice versa. Everyone who is either not strong or humble is not tall and vice versa. Everyone who is happy or not creative is both not brave and tall. If someone is tall then mary is either calm or strong. Everyone who is curious is happy and vice versa. Ever... | Mary is not old. | contradiction | (![X]:((humble(X)<~>old(X))<=>(funny(X)|generous(X))))&
(![X]:((~strong(X)<~>humble(X))<=>~tall(X)))&
(![X]:((happy(X)|~creative(X))=>(~brave(X)&tall(X))))&
((?[X]:(tall(X)))=>((calm(mary)<~>strong(mary))))&
(![X]:(curious(X)<=>happy(X)))&
(![X]:((brave(X)&~kind(X))<=>quiet(X)))&
(![X]:((kind(X)|old(X))<=>(brave(X)|~qu... | ~old(mary) | [
"p2",
"p5",
"p6",
"p9",
"p10",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5185625987282541140512046
% SZS output start Proof for 5185625987282541140512046
3. ! [X0] : ((~creative(X0) | happy(X0)) => (tall(X0) & ~brave(X0))) [input p2]
6. ! [X0] : ((~kind(X0) & brave(X0)) <=> quiet(X0)) [input p5]
7. ! [X0] : ((old(X0) | kind(X0)) <=> (~quiet(X0) | brave(X0))) [... | 0 |
Everyone who is creative or quiet is either not strong or wise and vice versa. Everyone who is either generous or patient is tall or not brave and vice versa. If paul is not rich or not tall then someone is either calm or not kind. If someone is kind or humble then fred is brave or tall and vice versa. Everyone who is ... | Susan is not wise. | entailment | (![X]:((creative(X)|quiet(X))<=>(~strong(X)<~>wise(X))))&
(![X]:((generous(X)<~>patient(X))<=>(tall(X)|~brave(X))))&
(((~rich(paul)|~tall(paul)))=>(?[X]:((calm(X)<~>~kind(X)))))&
((?[X]:((kind(X)|humble(X))))<=>((brave(fred)|tall(fred))))&
(![X]:((~strong(X)|~brave(X))<=>(~humble(X)&~curious(X))))&
(![X]:((generous(X)&... | ~wise(susan) | [
"p4",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5329381787487015597263720
% SZS output start Proof for 5329381787487015597263720
5. ! [X0] : ((~brave(X0) | ~strong(X0)) <=> (~curious(X0) & ~humble(X0))) [input p4]
7. (~brave(susan) <~> ~wise(susan)) <=> brave(mary) [input p6]
16. ! [X0] : ((strong(X0) | ~humble(X0)) => (brave(X0) & str... | 0 |
Everyone who is both strong and not brave is wise and vice versa. Everyone who is both tall and rich is either humble or not patient and vice versa. Everyone who is generous or rich is either rich or not tall. If someone is either old or patient then john is not generous or not kind. Everyone who is both not curious an... | Fred is brave. | contradiction | (![X]:((strong(X)&~brave(X))<=>wise(X)))&
(![X]:((tall(X)&rich(X))<=>(humble(X)<~>~patient(X))))&
(![X]:((generous(X)|rich(X))=>(rich(X)<~>~tall(X))))&
((?[X]:((old(X)<~>patient(X))))=>((~generous(john)|~kind(john))))&
(![X]:((~curious(X)&curious(X))<=>(~generous(X)<~>calm(X))))&
(![X]:((~funny(X)|patient(X))<=>(quiet(... | brave(fred) | [
"p0",
"p4",
"p8",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1791012846691231862172115
% SZS output start Proof for 1791012846691231862172115
1. ! [X0] : ((~brave(X0) & strong(X0)) <=> wise(X0)) [input p0]
5. ! [X0] : ((curious(X0) & ~curious(X0)) <=> (~generous(X0) <~> calm(X0))) [input p4]
9. ! [X0] : ((quiet(X0) <~> ~generous(X0)) <=> (~tall(X0)... | 0 |
If alice is both kind and rich then someone is calm or not creative and vice versa. If paul is both not old and not creative then lucy is patient or humble. Everyone who is funny is not patient or wise. If someone is funny or not quiet then someone is generous and vice versa. If someone is either not wise or old then s... | Paul is not creative. | neutral | (((kind(alice)&rich(alice)))<=>(?[X]:((calm(X)|~creative(X)))))&
(((~old(paul)&~creative(paul)))=>((patient(lucy)|humble(lucy))))&
(![X]:(funny(X)=>(~patient(X)|wise(X))))&
((?[X]:((funny(X)|~quiet(X))))<=>(?[X]:(generous(X))))&
((?[X]:((~wise(X)<~>old(X))))<=>(?[X]:((~creative(X)|~quiet(X)))))&
((?[X]:((wise(X)&~gener... | ~creative(paul) | [] | null | 0 |
If someone is both funny and calm then paul is tall. If lucy is creative or not rich then mary is not quiet or calm. If lucy is not tall then someone is both strong and creative and vice versa. If someone is both funny and curious then susan is either creative or generous and vice versa. If fred is strong then john is ... | Alice is generous. | neutral | ((?[X]:((funny(X)&calm(X))))=>(tall(paul)))&
(((creative(lucy)|~rich(lucy)))=>((~quiet(mary)|calm(mary))))&
((~tall(lucy))<=>(?[X]:((strong(X)&creative(X)))))&
((?[X]:((funny(X)&curious(X))))<=>((creative(susan)<~>generous(susan))))&
((strong(fred))<=>((kind(john)|wise(john))))&
((?[X]:((happy(X)|~brave(X))))<=>((brave... | generous(alice) | [] | null | 0 |
Everyone who is either old or brave is not strong or humble and vice versa. Everyone who is both not patient and not quiet is both creative and wise. If someone is either brave or not strong then john is either kind or patient. Everyone who is not quiet is either curious or tall and vice versa. Everyone who is either n... | John is patient. | neutral | (![X]:((old(X)<~>brave(X))<=>(~strong(X)|humble(X))))&
(![X]:((~patient(X)&~quiet(X))=>(creative(X)&wise(X))))&
((?[X]:((brave(X)<~>~strong(X))))=>((kind(john)<~>patient(john))))&
(![X]:(~quiet(X)<=>(curious(X)<~>tall(X))))&
(![X]:((~kind(X)<~>~wise(X))<=>(~kind(X)&~generous(X))))&
((?[X]:((kind(X)|~rich(X))))<=>(?[X]:... | patient(john) | [] | null | 0 |
If fred is both not curious and wise then susan is not curious or curious and vice versa.
Everyone who is either old or not funny is not patient and vice versa.
If someone is not old then lucy is both not old and generous.
If someone is either not creative or kind then someone is either funny or not calm.
If mary is no... | Mary is calm. | contradiction | (((~curious(fred)&wise(fred)))<=>((~curious(susan)|curious(susan))))&
(![X]:((old(X)<~>~funny(X))<=>~patient(X)))&
((?[X]:(~old(X)))=>((~old(lucy)&generous(lucy))))&
((?[X]:((~creative(X)<~>kind(X))))=>(?[X]:((funny(X)<~>~calm(X)))))&
(((~humble(mary)|happy(mary)))<=>(?[X]:((~happy(X)&~generous(X)))))&
((?[X]:((~funny(... | calm(mary) | [
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 6549188823633554090354967
% SZS output start Proof for 6549188823633554090354967
10. ! [X0] : ((~calm(X0) <~> ~humble(X0)) => (~happy(X0) & old(X0))) [input p9]
16. ! [X0] : ((funny(X0) <~> ~calm(X0)) <=> (happy(X0) <~> ~funny(X0))) [input p15]
20. ~wise(mary) & ~humble(mary) [input p19]
... | 0 |
If someone is not rich or not tall then susan is not quiet.
If someone is not strong then someone is either happy or calm.
Everyone who is humble or not humble is both not creative and curious.
Everyone who is patient is either not old or not creative and vice versa.
Everyone who is strong or happy is strong or not hap... | Mary is quiet. | entailment | ((?[X]:((~rich(X)|~tall(X))))=>(~quiet(susan)))&
((?[X]:(~strong(X)))=>(?[X]:((happy(X)<~>calm(X)))))&
(![X]:((humble(X)|~humble(X))=>(~creative(X)&curious(X))))&
(![X]:(patient(X)<=>(~old(X)<~>~creative(X))))&
(![X]:((strong(X)|happy(X))<=>(strong(X)|~happy(X))))&
((?[X]:(generous(X)))=>(?[X]:((~rich(X)&calm(X)))))&
(... | quiet(mary) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3893496346948204302866319
% SZS output start Proof for 3893496346948204302866319
5. ! [X0] : ((happy(X0) | strong(X0)) <=> (~happy(X0) | strong(X0))) [input p4]
8. ! [X0] : (~quiet(X0) => (~strong(X0) & curious(X0))) [input p7]
23. ~quiet(mary) [input hypothesis]
30. ! [X0] : ((~strong(X0... | 0 |
If someone is calm then paul is either not generous or not funny and vice versa.
Everyone who is both old and not curious is not creative or calm.
If someone is not strong then lucy is both not strong and not curious.
Everyone who is not tall is not funny or generous and vice versa.
Everyone who is quiet or wise is fun... | John is happy. | neutral | ((?[X]:(calm(X)))<=>((~generous(paul)<~>~funny(paul))))&
(![X]:((old(X)&~curious(X))=>(~creative(X)|calm(X))))&
((?[X]:(~strong(X)))=>((~strong(lucy)&~curious(lucy))))&
(![X]:(~tall(X)<=>(~funny(X)|generous(X))))&
(![X]:((quiet(X)|wise(X))<=>(funny(X)|curious(X))))&
(((~quiet(paul)<~>quiet(paul)))=>(strong(susan)))&
(!... | happy(john) | [] | null | 0 |
If someone is not rich then susan is funny or not wise.
Everyone who is either not wise or not curious is not creative or not quiet.
If someone is not generous then someone is not strong and vice versa.
Everyone who is not brave is both rich and not wise and vice versa.
Everyone who is either not rich or not patient is... | Mary is brave. | entailment | ((?[X]:(~rich(X)))=>((funny(susan)|~wise(susan))))&
(![X]:((~wise(X)<~>~curious(X))=>(~creative(X)|~quiet(X))))&
((?[X]:(~generous(X)))<=>(?[X]:(~strong(X))))&
(![X]:(~brave(X)<=>(rich(X)&~wise(X))))&
(![X]:((~rich(X)<~>~patient(X))<=>(old(X)&wise(X))))&
(![X]:(~brave(X)=>(patient(X)<~>rich(X))))&
(![X]:((~tall(X)<~>hu... | brave(mary) | [
"p3",
"p4",
"p5",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 4033732883935908302765115
% SZS output start Proof for 4033732883935908302765115
4. ! [X0] : (~brave(X0) <=> (~wise(X0) & rich(X0))) [input p3]
5. ! [X0] : ((~rich(X0) <~> ~patient(X0)) <=> (wise(X0) & old(X0))) [input p4]
6. ! [X0] : (~brave(X0) => (patient(X0) <~> rich(X0))) [input p5]
... | 0 |
Everyone who is not strong or funny is not humble. Everyone who is humble or wise is humble. If someone is both not funny and rich then fred is not calm or wise and vice versa. If mary is strong or tall then fred is not creative and vice versa. Everyone who is tall or not generous is calm. Everyone who is tall is eithe... | Fred is calm. | entailment | (![X]:((~strong(X)|funny(X))=>~humble(X)))&
(![X]:((humble(X)|wise(X))=>humble(X)))&
((?[X]:((~funny(X)&rich(X))))<=>((~calm(fred)|wise(fred))))&
(((strong(mary)|tall(mary)))<=>(~creative(fred)))&
(![X]:((tall(X)|~generous(X))=>calm(X)))&
(![X]:(tall(X)=>(kind(X)<~>calm(X))))&
(![X]:((~old(X)|creative(X))=>rich(X)))&
(... | calm(fred) | [
"p0",
"p1",
"p6",
"p8",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4261854422397667394889561
% SZS output start Proof for 4261854422397667394889561
1. ! [X0] : ((funny(X0) | ~strong(X0)) => ~humble(X0)) [input p0]
2. ! [X0] : ((wise(X0) | humble(X0)) => humble(X0)) [input p1]
7. ! [X0] : ((creative(X0) | ~old(X0)) => rich(X0)) [input p6]
9. ! [X0] : ((wi... | 0 |
Everyone who is either not humble or wise is not calm and vice versa.
Everyone who is either funny or strong is humble or calm.
If alice is either quiet or not generous then someone is not brave and vice versa.
Everyone who is generous or not funny is either tall or not rich.
If susan is rich or strong then fred is bot... | Alice is not generous. | entailment | (![X]:((~humble(X)<~>wise(X))<=>~calm(X)))&
(![X]:((funny(X)<~>strong(X))=>(humble(X)|calm(X))))&
(((quiet(alice)<~>~generous(alice)))<=>(?[X]:(~brave(X))))&
(![X]:((generous(X)|~funny(X))=>(tall(X)<~>~rich(X))))&
(((rich(susan)|strong(susan)))<=>((~strong(fred)&~happy(fred))))&
(![X]:((calm(X)&~rich(X))<=>happy(X)))&
... | ~generous(alice) | [
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 57738115361135162154637
% SZS output start Proof for 57738115361135162154637
9. ! [X0] : (~generous(X0) <=> (~rich(X0) | wise(X0))) [input p8]
11. ? [X0] : (~old(X0) | patient(X0)) => (happy(alice) & wise(alice)) [input p10]
12. ! [X0] : (humble(X0) <=> (humble(X0) <~> ~calm(X0))) [input ... | 0 |
If john is quiet or not old then someone is both not patient and not quiet. If paul is not curious or not old then alice is not calm or rich and vice versa. Everyone who is either not tall or not generous is happy or not old and vice versa. If fred is not quiet then susan is both tall and not strong. If someone is both... | Susan is old. | entailment | (((quiet(john)|~old(john)))=>(?[X]:((~patient(X)&~quiet(X)))))&
(((~curious(paul)|~old(paul)))<=>((~calm(alice)|rich(alice))))&
(![X]:((~tall(X)<~>~generous(X))<=>(happy(X)|~old(X))))&
((~quiet(fred))=>((tall(susan)&~strong(susan))))&
((?[X]:((~brave(X)&funny(X))))<=>(?[X]:((patient(X)<~>generous(X)))))&
((?[X]:((patie... | old(susan) | [
"p4",
"p6",
"p8",
"p10",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 845374185346677303776797
% SZS output start Proof for 845374185346677303776797
5. ? [X0] : (funny(X0) & ~brave(X0)) <=> ? [X0] : (patient(X0) <~> generous(X0)) [input p4]
7. ! [X0] : ((~humble(X0) | quiet(X0)) <=> (~quiet(X0) & ~kind(X0))) [input p6]
9. (~calm(mary) <~> quiet(mary)) <=> ?... | 0 |
If susan is old or quiet then someone is not rich and vice versa.
If someone is patient or not old then lucy is either not wise or creative.
If john is either strong or not brave then someone is not humble.
Everyone who is humble or not funny is not humble or curious and vice versa.
Everyone who is both not rich and cu... | Lucy is not strong. | contradiction | (((old(susan)|quiet(susan)))<=>(?[X]:(~rich(X))))&
((?[X]:((patient(X)|~old(X))))=>((~wise(lucy)<~>creative(lucy))))&
(((strong(john)<~>~brave(john)))=>(?[X]:(~humble(X))))&
(![X]:((humble(X)|~funny(X))<=>(~humble(X)|curious(X))))&
(![X]:((~rich(X)&curious(X))<=>(old(X)|~quiet(X))))&
(![X]:((tall(X)&funny(X))=>(~wise(X... | ~strong(lucy) | [
"p4",
"p9",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8600171173718907713346053
% SZS output start Proof for 8600171173718907713346053
5. ! [X0] : ((curious(X0) & ~rich(X0)) <=> (~quiet(X0) | old(X0))) [input p4]
10. ! [X0] : ((humble(X0) & old(X0)) <=> (funny(X0) | ~strong(X0))) [input p9]
12. ! [X0] : ((~generous(X0) | ~old(X0)) <=> ~curio... | 0 |
If mary is both rich and patient then alice is both not strong and not tall.
Everyone who is rich or happy is either not quiet or strong and vice versa.
If mary is both tall and happy then someone is not calm.
If someone is not tall then mary is either not curious or not funny.
If lucy is either not humble or generous ... | John is not kind. | entailment | (((rich(mary)&patient(mary)))=>((~strong(alice)&~tall(alice))))&
(![X]:((rich(X)|happy(X))<=>(~quiet(X)<~>strong(X))))&
(((tall(mary)&happy(mary)))=>(?[X]:(~calm(X))))&
((?[X]:(~tall(X)))=>((~curious(mary)<~>~funny(mary))))&
(((~humble(lucy)<~>generous(lucy)))=>(?[X]:((~strong(X)&rich(X)))))&
(![X]:((~rich(X)|curious(X... | ~kind(john) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 763955932463057724627700
% SZS output start Proof for 763955932463057724627700
11. ! [X0] : ((wise(X0) | kind(X0)) => (happy(X0) & ~happy(X0))) [input p10]
24. kind(john) [input hypothesis]
26. ! [X0] : (kind(X0) => (happy(X0) & ~happy(X0))) [pure predicate removal 11]
36. ! [X0] : ((happ... | 0 |
If someone is either not patient or not wise then someone is both not curious and strong.
If john is both not old and old then someone is both funny and not generous and vice versa.
If someone is not funny then alice is either not patient or rich.
Everyone who is both brave and not brave is both not wise and not tall.
... | Alice is not patient. | neutral | ((?[X]:((~patient(X)<~>~wise(X))))=>(?[X]:((~curious(X)&strong(X)))))&
(((~old(john)&old(john)))<=>(?[X]:((funny(X)&~generous(X)))))&
((?[X]:(~funny(X)))=>((~patient(alice)<~>rich(alice))))&
(![X]:((brave(X)&~brave(X))=>(~wise(X)&~tall(X))))&
(![X]:(~brave(X)<=>funny(X)))&
(![X]:((tall(X)&~old(X))<=>(~wise(X)<~>~humble... | ~patient(alice) | [] | null | 0 |
Everyone who is not funny or not brave is either calm or not funny and vice versa.
If someone is kind then someone is both funny and patient and vice versa.
If someone is funny or happy then alice is tall or wise and vice versa.
If paul is either not tall or patient then mary is both not kind and wise and vice versa.
E... | Lucy is not creative. | neutral | (![X]:((~funny(X)|~brave(X))<=>(calm(X)<~>~funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((funny(X)&patient(X)))))&
((?[X]:((funny(X)|happy(X))))<=>((tall(alice)|wise(alice))))&
(((~tall(paul)<~>patient(paul)))<=>((~kind(mary)&wise(mary))))&
(![X]:(~brave(X)=>(~kind(X)&~creative(X))))&
(![X]:(generous(X)=>(~happy(X)&~generous... | ~creative(lucy) | [] | null | 0 |
If someone is not quiet then someone is both not generous and not humble and vice versa.
If lucy is both not patient and not quiet then fred is either humble or tall and vice versa.
Everyone who is both rich and not funny is rich or not wise and vice versa.
Everyone who is funny is happy or calm and vice versa.
If some... | Susan is not generous. | contradiction | ((?[X]:(~quiet(X)))<=>(?[X]:((~generous(X)&~humble(X)))))&
(((~patient(lucy)&~quiet(lucy)))<=>((humble(fred)<~>tall(fred))))&
(![X]:((rich(X)&~funny(X))<=>(rich(X)|~wise(X))))&
(![X]:(funny(X)<=>(happy(X)|calm(X))))&
((?[X]:((~generous(X)<~>~brave(X))))<=>(?[X]:(~brave(X))))&
(![X]:((~calm(X)<~>~funny(X))<=>(brave(X)|~... | ~generous(susan) | [
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8738854816619099310559494
% SZS output start Proof for 8738854816619099310559494
11. ! [X0] : ((calm(X0) <~> happy(X0)) <=> (~generous(X0) <~> happy(X0))) [input p10]
22. ~calm(susan) [input p21]
25. ~generous(susan) [input hypothesis]
64. ! [X0] : ((((~happy(X0) | ~calm(X0)) & (happy(X0)... | 0 |
Everyone who is not patient is both not strong and creative and vice versa. Everyone who is both quiet and not calm is not happy or happy and vice versa. Everyone who is either curious or strong is not quiet or not brave and vice versa. If someone is not happy then john is rich or happy and vice versa. If someone is cr... | John is quiet. | entailment | (![X]:(~patient(X)<=>(~strong(X)&creative(X))))&
(![X]:((quiet(X)&~calm(X))<=>(~happy(X)|happy(X))))&
(![X]:((curious(X)<~>strong(X))<=>(~quiet(X)|~brave(X))))&
((?[X]:(~happy(X)))<=>((rich(john)|happy(john))))&
((?[X]:(creative(X)))<=>(~patient(paul)))&
((?[X]:(~old(X)))=>(?[X]:((~brave(X)&~tall(X)))))&
(![X]:((humble... | quiet(john) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 7835395448953367172329584
% SZS output start Proof for 7835395448953367172329584
2. ! [X0] : ((~calm(X0) & quiet(X0)) <=> (happy(X0) | ~happy(X0))) [input p1]
25. ~quiet(john) [input hypothesis]
42. ! [X0] : (((~calm(X0) & quiet(X0)) | (~happy(X0) & happy(X0))) & ((happy(X0) | ~happy(X0))... | 0 |
Everyone who is either not patient or strong is not brave or patient.
Everyone who is calm or not kind is kind and vice versa.
Everyone who is both not kind and humble is old or happy and vice versa.
If someone is calm then john is curious or brave.
If someone is not quiet then alice is happy or not generous and vice v... | John is not old. | entailment | (![X]:((~patient(X)<~>strong(X))=>(~brave(X)|patient(X))))&
(![X]:((calm(X)|~kind(X))<=>kind(X)))&
(![X]:((~kind(X)&humble(X))<=>(old(X)|happy(X))))&
((?[X]:(calm(X)))=>((curious(john)|brave(john))))&
((?[X]:(~quiet(X)))<=>((happy(alice)|~generous(alice))))&
((?[X]:(old(X)))<=>((~patient(alice)<~>~strong(alice))))&
((?... | ~old(john) | [
"p1",
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 1150121531868575303972663
% SZS output start Proof for 1150121531868575303972663
2. ! [X0] : ((~kind(X0) | calm(X0)) <=> kind(X0)) [input p1]
3. ! [X0] : ((humble(X0) & ~kind(X0)) <=> (happy(X0) | old(X0))) [input p2]
22. old(john) [input hypothesis]
35. ! [X0] : (((~kind(X0) | calm(X0)) ... | 0 |
Everyone who is both quiet and not wise is both brave and not creative and vice versa.
Everyone who is not humble is strong or generous and vice versa.
Everyone who is strong is not patient and vice versa.
Everyone who is not funny is both not quiet and tall.
Everyone who is kind is both not generous and not happy.
Eve... | Fred is brave. | neutral | (![X]:((quiet(X)&~wise(X))<=>(brave(X)&~creative(X))))&
(![X]:(~humble(X)<=>(strong(X)|generous(X))))&
(![X]:(strong(X)<=>~patient(X)))&
(![X]:(~funny(X)=>(~quiet(X)&tall(X))))&
(![X]:(kind(X)=>(~generous(X)&~happy(X))))&
(![X]:((quiet(X)|~quiet(X))<=>(~rich(X)&~kind(X))))&
((?[X]:((~generous(X)&funny(X))))<=>(?[X]:((~... | brave(fred) | [] | null | 0 |
If someone is either brave or calm then lucy is not curious and vice versa.
Everyone who is calm or not tall is not calm or not rich and vice versa.
Everyone who is both not rich and brave is either not strong or calm.
If john is either curious or quiet then someone is not quiet or not old and vice versa.
Everyone who ... | Fred is creative. | neutral | ((?[X]:((brave(X)<~>calm(X))))<=>(~curious(lucy)))&
(![X]:((calm(X)|~tall(X))<=>(~calm(X)|~rich(X))))&
(![X]:((~rich(X)&brave(X))=>(~strong(X)<~>calm(X))))&
(((curious(john)<~>quiet(john)))<=>(?[X]:((~quiet(X)|~old(X)))))&
(![X]:((~rich(X)<~>old(X))<=>~calm(X)))&
((?[X]:((humble(X)<~>happy(X))))<=>((funny(susan)&~calm(... | creative(fred) | [] | null | 0 |
Everyone who is either wise or not patient is both kind and not generous.
If someone is humble or rich then john is either old or patient and vice versa.
If someone is either not strong or happy then paul is both funny and not brave.
Everyone who is both not humble and not calm is either rich or humble.
If someone is e... | Lucy is rich. | entailment | (![X]:((wise(X)<~>~patient(X))=>(kind(X)&~generous(X))))&
((?[X]:((humble(X)|rich(X))))<=>((old(john)<~>patient(john))))&
((?[X]:((~strong(X)<~>happy(X))))=>((funny(paul)&~brave(paul))))&
(![X]:((~humble(X)&~calm(X))=>(rich(X)<~>humble(X))))&
((?[X]:((~calm(X)<~>~wise(X))))<=>(?[X]:((strong(X)|wise(X)))))&
(![X]:((~cal... | rich(lucy) | [
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 31105294973190059547098
% SZS output start Proof for 31105294973190059547098
4. ! [X0] : ((~calm(X0) & ~humble(X0)) => (rich(X0) <~> humble(X0))) [input p3]
5. ? [X0] : (~calm(X0) <~> ~wise(X0)) <=> ? [X0] : (wise(X0) | strong(X0)) [input p4]
6. ! [X0] : ((happy(X0) | ~calm(X0)) <=> ~humb... | 0 |
Everyone who is creative is patient or not kind and vice versa.
Everyone who is not patient is wise or brave and vice versa.
Everyone who is wise is either strong or not happy and vice versa.
Everyone who is not humble or not strong is wise and vice versa.
If someone is either not creative or quiet then mary is generou... | Alice is happy. | contradiction | (![X]:(creative(X)<=>(patient(X)|~kind(X))))&
(![X]:(~patient(X)<=>(wise(X)|brave(X))))&
(![X]:(wise(X)<=>(strong(X)<~>~happy(X))))&
(![X]:((~humble(X)|~strong(X))<=>wise(X)))&
((?[X]:((~creative(X)<~>quiet(X))))=>((generous(mary)|tall(mary))))&
(![X]:((happy(X)<~>rich(X))<=>generous(X)))&
((strong(john))=>(old(john)))... | happy(alice) | [
"p2",
"p3",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6767983187559586342103795
% SZS output start Proof for 6767983187559586342103795
3. ! [X0] : (wise(X0) <=> (strong(X0) <~> ~happy(X0))) [input p2]
4. ! [X0] : ((~strong(X0) | ~humble(X0)) <=> wise(X0)) [input p3]
13. ! [X0] : (curious(X0) <=> (strong(X0) <~> ~happy(X0))) [input p12]
15. !... | 0 |
Everyone who is both not rich and quiet is calm.
Everyone who is either not quiet or humble is either creative or not quiet and vice versa.
Everyone who is both wise and generous is either not generous or patient.
Everyone who is either rich or not wise is both brave and not tall.
Everyone who is both not rich and tall... | Alice is quiet. | contradiction | (![X]:((~rich(X)&quiet(X))=>calm(X)))&
(![X]:((~quiet(X)<~>humble(X))<=>(creative(X)<~>~quiet(X))))&
(![X]:((wise(X)&generous(X))=>(~generous(X)<~>patient(X))))&
(![X]:((rich(X)<~>~wise(X))=>(brave(X)&~tall(X))))&
(![X]:((~rich(X)&tall(X))<=>(tall(X)&kind(X))))&
(![X]:((tall(X)<~>funny(X))=>(~tall(X)<~>creative(X))))&
... | quiet(alice) | [
"p0",
"p1",
"p5",
"p9",
"p12",
"p14",
"p21",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6880542391457199749438340
% SZS output start Proof for 6880542391457199749438340
1. ! [X0] : ((quiet(X0) & ~rich(X0)) => calm(X0)) [input p0]
2. ! [X0] : ((~quiet(X0) <~> humble(X0)) <=> (creative(X0) <~> ~quiet(X0))) [input p1]
6. ! [X0] : ((tall(X0) <~> funny(X0)) => (~tall(X0) <~> crea... | 0 |
Everyone who is either generous or curious is either not funny or rich and vice versa. Everyone who is brave or not brave is not funny or humble. Everyone who is either curious or kind is either not kind or not patient and vice versa. Everyone who is both not old and not kind is not strong and vice versa. Everyone who ... | John is tall. | entailment | (![X]:((generous(X)<~>curious(X))<=>(~funny(X)<~>rich(X))))&
(![X]:((brave(X)|~brave(X))=>(~funny(X)|humble(X))))&
(![X]:((curious(X)<~>kind(X))<=>(~kind(X)<~>~patient(X))))&
(![X]:((~old(X)&~kind(X))<=>~strong(X)))&
(![X]:(~tall(X)<=>(~old(X)&calm(X))))&
(![X]:((~curious(X)|~humble(X))=>rich(X)))&
(![X]:((~quiet(X)&wi... | tall(john) | [
"p4",
"p6",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8937934155983705509607500
% SZS output start Proof for 8937934155983705509607500
5. ! [X0] : (~tall(X0) <=> (calm(X0) & ~old(X0))) [input p4]
7. ! [X0] : ((wise(X0) & ~quiet(X0)) <=> curious(X0)) [input p6]
10. ! [X0] : ((~brave(X0) | ~patient(X0)) <=> tall(X0)) [input p9]
13. ! [X0] : ((... | 0 |
If someone is tall or not quiet then paul is both not curious and not strong. Everyone who is not kind is both tall and not funny and vice versa. Everyone who is both quiet and old is both humble and not quiet. Everyone who is kind or not curious is brave or tall and vice versa. Everyone who is curious or not curious i... | Paul is curious. | contradiction | ((?[X]:((tall(X)|~quiet(X))))=>((~curious(paul)&~strong(paul))))&
(![X]:(~kind(X)<=>(tall(X)&~funny(X))))&
(![X]:((quiet(X)&old(X))=>(humble(X)&~quiet(X))))&
(![X]:((kind(X)|~curious(X))<=>(brave(X)|tall(X))))&
(![X]:((curious(X)|~curious(X))<=>~brave(X)))&
((?[X]:((~kind(X)&strong(X))))<=>((generous(paul)|calm(paul)))... | curious(paul) | [
"p0",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 1200945181871035320604645
% SZS output start Proof for 1200945181871035320604645
1. ? [X0] : (~quiet(X0) | tall(X0)) => (~strong(paul) & ~curious(paul)) [input p0]
17. tall(paul) [input p16]
25. curious(paul) [input hypothesis]
27. (~strong(paul) & ~curious(paul)) | ! [X0] : (quiet(X0) & ... | 0 |
If someone is funny or not funny then lucy is both brave and generous. Everyone who is wise is old. Everyone who is either patient or not wise is both brave and not creative. If someone is not quiet or creative then lucy is tall or wise. Everyone who is both not generous and happy is not happy and vice versa. If someon... | Susan is brave. | entailment | ((?[X]:((funny(X)|~funny(X))))=>((brave(lucy)&generous(lucy))))&
(![X]:(wise(X)=>old(X)))&
(![X]:((patient(X)<~>~wise(X))=>(brave(X)&~creative(X))))&
((?[X]:((~quiet(X)|creative(X))))=>((tall(lucy)|wise(lucy))))&
(![X]:((~generous(X)&happy(X))<=>~happy(X)))&
((?[X]:((~strong(X)|~tall(X))))=>((~kind(fred)<~>curious(fred... | brave(susan) | [
"p1",
"p2",
"p4",
"p8",
"p11",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2931705176968326661801942
% SZS output start Proof for 2931705176968326661801942
2. ! [X0] : (wise(X0) => old(X0)) [input p1]
3. ! [X0] : ((patient(X0) <~> ~wise(X0)) => (~creative(X0) & brave(X0))) [input p2]
5. ! [X0] : ((happy(X0) & ~generous(X0)) <=> ~happy(X0)) [input p4]
9. ! [X0] :... | 0 |
Everyone who is either not brave or not humble is both rich and not strong and vice versa.
Everyone who is generous is both not generous and not quiet.
Everyone who is either calm or not rich is both not generous and not strong and vice versa.
Everyone who is both not kind and tall is either not creative or not funny a... | John is strong. | entailment | (![X]:((~brave(X)<~>~humble(X))<=>(rich(X)&~strong(X))))&
(![X]:(generous(X)=>(~generous(X)&~quiet(X))))&
(![X]:((calm(X)<~>~rich(X))<=>(~generous(X)&~strong(X))))&
(![X]:((~kind(X)&tall(X))<=>(~creative(X)<~>~funny(X))))&
((?[X]:(funny(X)))=>((patient(lucy)|~creative(lucy))))&
(![X]:(patient(X)<=>(~generous(X)<~>calm(... | strong(john) | [
"p0",
"p1",
"p2",
"p5",
"p7",
"p8",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1421546400041696094196470
% SZS output start Proof for 1421546400041696094196470
1. ! [X0] : ((~brave(X0) <~> ~humble(X0)) <=> (~strong(X0) & rich(X0))) [input p0]
2. ! [X0] : (generous(X0) => (~quiet(X0) & ~generous(X0))) [input p1]
3. ! [X0] : ((calm(X0) <~> ~rich(X0)) <=> (~strong(X0) ... | 0 |
If susan is curious or not curious then someone is not brave. If someone is both not rich and old then someone is not funny and vice versa. If someone is not strong or tall then fred is both not creative and not humble. If mary is not humble then someone is old or not brave and vice versa. If someone is either not rich... | Fred is strong. | neutral | (((curious(susan)|~curious(susan)))=>(?[X]:(~brave(X))))&
((?[X]:((~rich(X)&old(X))))<=>(?[X]:(~funny(X))))&
((?[X]:((~strong(X)|tall(X))))=>((~creative(fred)&~humble(fred))))&
((~humble(mary))<=>(?[X]:((old(X)|~brave(X)))))&
((?[X]:((~rich(X)<~>strong(X))))=>((~generous(fred)&curious(fred))))&
(![X]:((~patient(X)&tall... | strong(fred) | [] | null | 0 |
Everyone who is both humble and not strong is both rich and tall. If paul is not funny then someone is rich or wise. If alice is not old or calm then mary is quiet. If lucy is not quiet then susan is either not kind or not happy and vice versa. If someone is happy or not old then someone is both not strong and patient.... | Alice is not patient. | entailment | (![X]:((humble(X)&~strong(X))=>(rich(X)&tall(X))))&
((~funny(paul))=>(?[X]:((rich(X)|wise(X)))))&
(((~old(alice)|calm(alice)))=>(quiet(mary)))&
((~quiet(lucy))<=>((~kind(susan)<~>~happy(susan))))&
((?[X]:((happy(X)|~old(X))))=>(?[X]:((~strong(X)&patient(X)))))&
(![X]:((~creative(X)|happy(X))<=>(tall(X)<~>~quiet(X))))&
... | ~patient(alice) | [
"p2",
"p7",
"p8",
"p10",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6681334506774131746181028
% SZS output start Proof for 6681334506774131746181028
3. (calm(alice) | ~old(alice)) => quiet(mary) [input p2]
8. ! [X0] : ((old(X0) & ~strong(X0)) <=> (~wise(X0) | ~humble(X0))) [input p7]
9. (old(mary) & ~creative(mary)) <=> ? [X0] : (creative(X0) | ~kind(X0))... | 0 |
Everyone who is either not tall or not humble is either not wise or not humble and vice versa.
If mary is either not happy or wise then lucy is not rich or tall.
Everyone who is either old or not calm is not funny or creative and vice versa.
Everyone who is both calm and happy is both strong and not tall and vice versa... | Mary is strong. | contradiction | (![X]:((~tall(X)<~>~humble(X))<=>(~wise(X)<~>~humble(X))))&
(((~happy(mary)<~>wise(mary)))=>((~rich(lucy)|tall(lucy))))&
(![X]:((old(X)<~>~calm(X))<=>(~funny(X)|creative(X))))&
(![X]:((calm(X)&happy(X))<=>(strong(X)&~tall(X))))&
(![X]:(rich(X)<=>(wise(X)&kind(X))))&
(![X]:((~creative(X)|~humble(X))<=>funny(X)))&
(![X]:... | strong(mary) | [
"p0",
"p3",
"p7",
"p10",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2587409459855983919341709
% SZS output start Proof for 2587409459855983919341709
1. ! [X0] : ((~tall(X0) <~> ~humble(X0)) <=> (~wise(X0) <~> ~humble(X0))) [input p0]
4. ! [X0] : ((happy(X0) & calm(X0)) <=> (~tall(X0) & strong(X0))) [input p3]
8. ! [X0] : ((curious(X0) | wise(X0)) => (~cal... | 0 |
If someone is funny or curious then fred is not quiet and vice versa.
Everyone who is not curious is either not patient or quiet and vice versa.
Everyone who is both brave and not wise is both not curious and not happy.
Everyone who is either not calm or not creative is not patient.
Everyone who is either humble or not... | John is not generous. | neutral | ((?[X]:((funny(X)|curious(X))))<=>(~quiet(fred)))&
(![X]:(~curious(X)<=>(~patient(X)<~>quiet(X))))&
(![X]:((brave(X)&~wise(X))=>(~curious(X)&~happy(X))))&
(![X]:((~calm(X)<~>~creative(X))=>~patient(X)))&
(![X]:((humble(X)<~>~old(X))=>wise(X)))&
(![X]:((humble(X)&happy(X))<=>(~brave(X)&~patient(X))))&
(((~strong(mary)|~... | ~generous(john) | [] | null | 0 |
If someone is not brave or not creative then alice is either patient or funny.
Everyone who is generous is either kind or not funny and vice versa.
Everyone who is generous is calm and vice versa.
Everyone who is either tall or not tall is both curious and creative and vice versa.
Everyone who is calm or not funny is n... | Paul is curious. | entailment | ((?[X]:((~brave(X)|~creative(X))))=>((patient(alice)<~>funny(alice))))&
(![X]:(generous(X)<=>(kind(X)<~>~funny(X))))&
(![X]:(generous(X)<=>calm(X)))&
(![X]:((tall(X)<~>~tall(X))<=>(curious(X)&creative(X))))&
(![X]:((calm(X)|~funny(X))=>(~funny(X)|~generous(X))))&
((?[X]:((curious(X)<~>~happy(X))))<=>((~funny(fred)<~>br... | curious(paul) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 9191947391282165967482243
% SZS output start Proof for 9191947391282165967482243
4. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (creative(X0) & curious(X0))) [input p3]
24. ~curious(paul) [input hypothesis]
40. ! [X0] : ((((tall(X0) | ~tall(X0)) & (~tall(X0) | tall(X0))) | (~creative(X0) | ~cu... | 0 |
If john is either kind or not wise then someone is both quiet and happy. If someone is not wise or not brave then someone is not creative or not funny and vice versa. If someone is tall then fred is creative or tall and vice versa. Everyone who is not rich is rich or not creative and vice versa. Everyone who is not pat... | Lucy is patient. | contradiction | (((kind(john)<~>~wise(john)))=>(?[X]:((quiet(X)&happy(X)))))&
((?[X]:((~wise(X)|~brave(X))))<=>(?[X]:((~creative(X)|~funny(X)))))&
((?[X]:(tall(X)))<=>((creative(fred)|tall(fred))))&
(![X]:(~rich(X)<=>(rich(X)|~creative(X))))&
(![X]:(~patient(X)<=>old(X)))&
(![X]:((~strong(X)&~quiet(X))=>(~happy(X)|creative(X))))&
(![X... | patient(lucy) | [
"p3",
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6746751209624339947331771
% SZS output start Proof for 6746751209624339947331771
4. ! [X0] : (~rich(X0) <=> (~creative(X0) | rich(X0))) [input p3]
5. ! [X0] : (~patient(X0) <=> old(X0)) [input p4]
15. ! [X0] : (~creative(X0) => (tall(X0) & old(X0))) [input p14]
23. patient(lucy) [input hy... | 0 |
Everyone who is not wise is either quiet or not creative.
Everyone who is brave is either not curious or creative and vice versa.
Everyone who is not patient is rich or not creative and vice versa.
If fred is either quiet or not brave then someone is either not strong or not brave.
Everyone who is quiet or old is eithe... | Mary is not funny. | neutral | (![X]:(~wise(X)=>(quiet(X)<~>~creative(X))))&
(![X]:(brave(X)<=>(~curious(X)<~>creative(X))))&
(![X]:(~patient(X)<=>(rich(X)|~creative(X))))&
(((quiet(fred)<~>~brave(fred)))=>(?[X]:((~strong(X)<~>~brave(X)))))&
(![X]:((quiet(X)|old(X))=>(curious(X)<~>~old(X))))&
(![X]:((~funny(X)&humble(X))=>(~brave(X)|~happy(X))))&
(!... | ~funny(mary) | [] | null | 0 |
If someone is both curious and wise then susan is both not funny and strong and vice versa.
Everyone who is either wise or not calm is either brave or not rich and vice versa.
Everyone who is not old is brave or strong and vice versa.
Everyone who is either tall or not kind is both not old and old and vice versa.
If so... | Lucy is generous. | neutral | ((?[X]:((curious(X)&wise(X))))<=>((~funny(susan)&strong(susan))))&
(![X]:((wise(X)<~>~calm(X))<=>(brave(X)<~>~rich(X))))&
(![X]:(~old(X)<=>(brave(X)|strong(X))))&
(![X]:((tall(X)<~>~kind(X))<=>(~old(X)&old(X))))&
((?[X]:(patient(X)))=>((~wise(alice)&~old(alice))))&
(![X]:(~patient(X)=>(~kind(X)|~old(X))))&
(![X]:((~old... | generous(lucy) | [] | null | 0 |
If someone is not happy or not brave then susan is both calm and not rich.
If someone is either not funny or funny then paul is either not calm or not tall and vice versa.
If someone is both generous and not generous then someone is kind and vice versa.
Everyone who is not funny is not calm or not generous and vice ver... | Susan is not humble. | contradiction | ((?[X]:((~happy(X)|~brave(X))))=>((calm(susan)&~rich(susan))))&
((?[X]:((~funny(X)<~>funny(X))))<=>((~calm(paul)<~>~tall(paul))))&
((?[X]:((generous(X)&~generous(X))))<=>(?[X]:(kind(X))))&
(![X]:(~funny(X)<=>(~calm(X)|~generous(X))))&
(((patient(alice)&~generous(alice)))=>(?[X]:(wise(X))))&
((tall(susan))<=>(?[X]:((~br... | ~humble(susan) | [
"p0",
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 8643502658954021484544661
% SZS output start Proof for 8643502658954021484544661
1. ? [X0] : (~brave(X0) | ~happy(X0)) => (~rich(susan) & calm(susan)) [input p0]
8. ! [X0] : ((funny(X0) & rich(X0)) <=> ~happy(X0)) [input p7]
10. ! [X0] : ((old(X0) | happy(X0)) => (humble(X0) & ~funny(X0))... | 0 |
Everyone who is either quiet or not happy is happy or not creative and vice versa.
Everyone who is not funny is not brave and vice versa.
If alice is either not calm or calm then someone is quiet or not humble.
Everyone who is not brave or old is either quiet or rich.
Everyone who is both not tall and curious is curiou... | Paul is not patient. | neutral | (![X]:((quiet(X)<~>~happy(X))<=>(happy(X)|~creative(X))))&
(![X]:(~funny(X)<=>~brave(X)))&
(((~calm(alice)<~>calm(alice)))=>(?[X]:((quiet(X)|~humble(X)))))&
(![X]:((~brave(X)|old(X))=>(quiet(X)<~>rich(X))))&
(![X]:((~tall(X)&curious(X))=>(curious(X)|~calm(X))))&
(((happy(paul)&~rich(paul)))=>(?[X]:(brave(X))))&
(![X]:(... | ~patient(paul) | [] | null | 0 |
Everyone who is either not brave or brave is not strong. Everyone who is both not funny and quiet is either generous or not humble. If someone is both generous and not strong then someone is generous or humble and vice versa. If alice is happy then someone is either patient or not old. Everyone who is not tall is both ... | Mary is not creative. | entailment | (![X]:((~brave(X)<~>brave(X))=>~strong(X)))&
(![X]:((~funny(X)&quiet(X))=>(generous(X)<~>~humble(X))))&
((?[X]:((generous(X)&~strong(X))))<=>(?[X]:((generous(X)|humble(X)))))&
((happy(alice))=>(?[X]:((patient(X)<~>~old(X)))))&
(![X]:(~tall(X)=>(~humble(X)&tall(X))))&
(![X]:((~happy(X)|brave(X))<=>~humble(X)))&
(![X]:((... | ~creative(mary) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 9133068703841005478518094
% SZS output start Proof for 9133068703841005478518094
1. ! [X0] : ((~brave(X0) <~> brave(X0)) => ~strong(X0)) [input p0]
9. ! [X0] : ((quiet(X0) & ~creative(X0)) <=> (~strong(X0) | ~humble(X0))) [input p8]
23. creative(mary) [input hypothesis]
27. ! [X0] : (~str... | 0 |
If someone is not calm or old then john is either not creative or not funny and vice versa.
If john is either not tall or generous then someone is either tall or happy and vice versa.
Everyone who is either not brave or curious is creative or not creative.
Everyone who is both humble and not happy is not creative and v... | Mary is not old. | neutral | ((?[X]:((~calm(X)|old(X))))<=>((~creative(john)<~>~funny(john))))&
(((~tall(john)<~>generous(john)))<=>(?[X]:((tall(X)<~>happy(X)))))&
(![X]:((~brave(X)<~>curious(X))=>(creative(X)|~creative(X))))&
(![X]:((humble(X)&~happy(X))<=>~creative(X)))&
((?[X]:(curious(X)))<=>((strong(john)<~>~brave(john))))&
((?[X]:((~creative... | ~old(mary) | [] | null | 0 |
Everyone who is either curious or brave is tall or humble.
If john is both not generous and not patient then alice is not rich.
Everyone who is both not happy and not tall is both humble and old.
Everyone who is both not generous and calm is either not kind or old and vice versa.
Everyone who is not generous is both ki... | Susan is not strong. | neutral | (![X]:((curious(X)<~>brave(X))=>(tall(X)|humble(X))))&
(((~generous(john)&~patient(john)))=>(~rich(alice)))&
(![X]:((~happy(X)&~tall(X))=>(humble(X)&old(X))))&
(![X]:((~generous(X)&calm(X))<=>(~kind(X)<~>old(X))))&
(![X]:(~generous(X)<=>(kind(X)&~quiet(X))))&
(![X]:((humble(X)|generous(X))<=>(~wise(X)|~happy(X))))&
(((... | ~strong(susan) | [] | null | 0 |
Everyone who is either not wise or not curious is both not curious and not generous and vice versa.
Everyone who is both not wise and kind is patient or not calm and vice versa.
If someone is not creative then someone is not generous.
If susan is not rich or not strong then someone is either not calm or generous.
Every... | Alice is not funny. | contradiction | (![X]:((~wise(X)<~>~curious(X))<=>(~curious(X)&~generous(X))))&
(![X]:((~wise(X)&kind(X))<=>(patient(X)|~calm(X))))&
((?[X]:(~creative(X)))=>(?[X]:(~generous(X))))&
(((~rich(susan)|~strong(susan)))=>(?[X]:((~calm(X)<~>generous(X)))))&
(![X]:((~curious(X)|creative(X))<=>curious(X)))&
(((~creative(alice)|creative(alice))... | ~funny(alice) | [
"p4",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 8513550745425089994536517
% SZS output start Proof for 8513550745425089994536517
5. ! [X0] : ((creative(X0) | ~curious(X0)) <=> curious(X0)) [input p4]
11. ! [X0] : ((curious(X0) <~> ~creative(X0)) <=> funny(X0)) [input p10]
22. ~funny(alice) [input hypothesis]
44. ! [X0] : (((creative(X0... | 0 |
Everyone who is both not calm and quiet is both not tall and not patient and vice versa.
If fred is either funny or not kind then someone is not tall or not brave.
If someone is both not wise and not calm then someone is old and vice versa.
Everyone who is both not patient and not brave is both brave and not humble.
Ev... | Alice is patient. | contradiction | (![X]:((~calm(X)&quiet(X))<=>(~tall(X)&~patient(X))))&
(((funny(fred)<~>~kind(fred)))=>(?[X]:((~tall(X)|~brave(X)))))&
((?[X]:((~wise(X)&~calm(X))))<=>(?[X]:(old(X))))&
(![X]:((~patient(X)&~brave(X))=>(brave(X)&~humble(X))))&
(![X]:(~quiet(X)<=>(patient(X)|generous(X))))&
(((~tall(lucy)<~>funny(lucy)))<=>(?[X]:((genero... | patient(alice) | [
"p4",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2379580909155187385572437
% SZS output start Proof for 2379580909155187385572437
5. ! [X0] : (~quiet(X0) <=> (generous(X0) | patient(X0))) [input p4]
8. ! [X0] : ((~generous(X0) | generous(X0)) <=> (quiet(X0) & ~tall(X0))) [input p7]
22. patient(alice) [input hypothesis]
44. ! [X0] : ((~q... | 0 |
Everyone who is not generous is both not kind and strong.
Everyone who is either funny or not creative is either wise or brave.
If someone is kind then someone is either not quiet or humble.
Everyone who is not kind is generous or not quiet.
Everyone who is both not kind and curious is calm.
Everyone who is not curious... | Fred is not rich. | contradiction | (![X]:(~generous(X)=>(~kind(X)&strong(X))))&
(![X]:((funny(X)<~>~creative(X))=>(wise(X)<~>brave(X))))&
((?[X]:(kind(X)))=>(?[X]:((~quiet(X)<~>humble(X)))))&
(![X]:(~kind(X)=>(generous(X)|~quiet(X))))&
(![X]:((~kind(X)&curious(X))=>calm(X)))&
(![X]:((~curious(X)|strong(X))<=>old(X)))&
((~old(susan))<=>(?[X]:((creative(X... | ~rich(fred) | [
"p0",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2348901978331741323211613
% SZS output start Proof for 2348901978331741323211613
1. ! [X0] : (~generous(X0) => (strong(X0) & ~kind(X0))) [input p0]
12. ! [X0] : (rich(X0) <=> (generous(X0) | ~humble(X0))) [input p11]
21. ~strong(fred) <~> ~humble(fred) [input p20]
25. ~rich(fred) [input h... | 0 |
If someone is creative or not funny then someone is both wise and not happy and vice versa.
If someone is not curious or generous then lucy is rich or not old.
Everyone who is funny or not tall is either not creative or not generous.
If fred is both not humble and generous then john is wise.
If alice is either not pati... | John is not tall. | neutral | ((?[X]:((creative(X)|~funny(X))))<=>(?[X]:((wise(X)&~happy(X)))))&
((?[X]:((~curious(X)|generous(X))))=>((rich(lucy)|~old(lucy))))&
(![X]:((funny(X)|~tall(X))=>(~creative(X)<~>~generous(X))))&
(((~humble(fred)&generous(fred)))=>(wise(john)))&
(((~patient(alice)<~>brave(alice)))=>(?[X]:(~curious(X))))&
(![X]:(~humble(X)... | ~tall(john) | [] | null | 0 |
If mary is both patient and creative then someone is old or curious.
Everyone who is not funny is both creative and not creative.
If someone is kind then someone is not kind or curious.
Everyone who is both not wise and quiet is both not quiet and not rich.
Everyone who is not rich or not happy is not happy or tall.
Ev... | Lucy is not creative. | neutral | (((patient(mary)&creative(mary)))=>(?[X]:((old(X)|curious(X)))))&
(![X]:(~funny(X)=>(creative(X)&~creative(X))))&
((?[X]:(kind(X)))=>(?[X]:((~kind(X)|curious(X)))))&
(![X]:((~wise(X)&quiet(X))=>(~quiet(X)&~rich(X))))&
(![X]:((~rich(X)|~happy(X))=>(~happy(X)|tall(X))))&
(![X]:((generous(X)|kind(X))=>(~kind(X)&creative(X... | ~creative(lucy) | [] | null | 0 |
Everyone who is humble is brave or not humble. If someone is both not strong and calm then someone is both wise and not old. Everyone who is either kind or tall is either calm or rich. If lucy is not strong then john is both not kind and tall and vice versa. Everyone who is either not generous or strong is either not h... | Susan is strong. | neutral | (![X]:(humble(X)=>(brave(X)|~humble(X))))&
((?[X]:((~strong(X)&calm(X))))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((kind(X)<~>tall(X))=>(calm(X)<~>rich(X))))&
((~strong(lucy))<=>((~kind(john)&tall(john))))&
(![X]:((~generous(X)<~>strong(X))<=>(~humble(X)<~>~wise(X))))&
(![X]:((~kind(X)|wise(X))<=>(~funny(X)<~>happy(X))))&
... | strong(susan) | [] | null | 0 |
Everyone who is either not generous or kind is funny or brave.
Everyone who is both funny and brave is either patient or not strong and vice versa.
If someone is brave then someone is either wise or not funny and vice versa.
If lucy is both creative and not humble then fred is funny.
Everyone who is curious or not happ... | Lucy is humble. | entailment | (![X]:((~generous(X)<~>kind(X))=>(funny(X)|brave(X))))&
(![X]:((funny(X)&brave(X))<=>(patient(X)<~>~strong(X))))&
((?[X]:(brave(X)))<=>(?[X]:((wise(X)<~>~funny(X)))))&
(((creative(lucy)&~humble(lucy)))=>(funny(fred)))&
(![X]:((curious(X)|~happy(X))<=>(humble(X)<~>~creative(X))))&
(![X]:((~funny(X)|~humble(X))=>(~calm(X... | humble(lucy) | [
"p5",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 8454787591632867162475143
% SZS output start Proof for 8454787591632867162475143
6. ! [X0] : ((~humble(X0) | ~funny(X0)) => (rich(X0) & ~calm(X0))) [input p5]
22. happy(lucy) & calm(lucy) [input p21]
25. ~humble(lucy) [input hypothesis]
34. ! [X0] : ((rich(X0) & ~calm(X0)) | (humble(X0) &... | 0 |
If someone is both not rich and calm then susan is either not happy or not kind and vice versa.
Everyone who is either not old or not creative is not quiet and vice versa.
Everyone who is not wise or not patient is both tall and not kind and vice versa.
Everyone who is kind is not kind or humble and vice versa.
Everyon... | Susan is brave. | contradiction | ((?[X]:((~rich(X)&calm(X))))<=>((~happy(susan)<~>~kind(susan))))&
(![X]:((~old(X)<~>~creative(X))<=>~quiet(X)))&
(![X]:((~wise(X)|~patient(X))<=>(tall(X)&~kind(X))))&
(![X]:(kind(X)<=>(~kind(X)|humble(X))))&
(![X]:((old(X)<~>brave(X))<=>(tall(X)&brave(X))))&
(![X]:((~wise(X)<~>~rich(X))<=>generous(X)))&
(![X]:(quiet(X)... | brave(susan) | [
"p1",
"p3",
"p4",
"p8",
"p10",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 117206804434122718823969
% SZS output start Proof for 117206804434122718823969
2. ! [X0] : ((~old(X0) <~> ~creative(X0)) <=> ~quiet(X0)) [input p1]
4. ! [X0] : (kind(X0) <=> (humble(X0) | ~kind(X0))) [input p3]
5. ! [X0] : ((old(X0) <~> brave(X0)) <=> (brave(X0) & tall(X0))) [input p4]
9.... | 0 |
Everyone who is brave is both creative and not calm. Everyone who is not kind is either funny or not patient. If someone is either not brave or not rich then someone is either funny or not happy and vice versa. Everyone who is brave or not rich is either not kind or quiet. Everyone who is not tall is both tall and not ... | John is not generous. | entailment | (![X]:(brave(X)=>(creative(X)&~calm(X))))&
(![X]:(~kind(X)=>(funny(X)<~>~patient(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>(?[X]:((funny(X)<~>~happy(X)))))&
(![X]:((brave(X)|~rich(X))=>(~kind(X)<~>quiet(X))))&
(![X]:(~tall(X)=>(tall(X)&~patient(X))))&
((~patient(alice))<=>((wise(susan)|~kind(susan))))&
(![X]:((~creativ... | ~generous(john) | [
"p4",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 7637166845112755941922586
% SZS output start Proof for 7637166845112755941922586
5. ! [X0] : (~tall(X0) => (~patient(X0) & tall(X0))) [input p4]
9. ! [X0] : ((generous(X0) <~> old(X0)) => ~generous(X0)) [input p8]
18. tall(john) <~> old(john) [input p17]
25. generous(john) [input hypothes... | 0 |
Everyone who is kind or rich is both not old and not wise.
Everyone who is not happy is wise or not patient and vice versa.
Everyone who is not old or calm is either not kind or calm and vice versa.
Everyone who is calm is either not brave or not humble.
Everyone who is either not humble or not creative is either humbl... | Lucy is not quiet. | contradiction | (![X]:((kind(X)|rich(X))=>(~old(X)&~wise(X))))&
(![X]:(~happy(X)<=>(wise(X)|~patient(X))))&
(![X]:((~old(X)|calm(X))<=>(~kind(X)<~>calm(X))))&
(![X]:(calm(X)=>(~brave(X)<~>~humble(X))))&
(![X]:((~humble(X)<~>~creative(X))=>(humble(X)<~>~patient(X))))&
((?[X]:((wise(X)|happy(X))))<=>((calm(fred)<~>~generous(fred))))&
(!... | ~quiet(lucy) | [
"p0",
"p1",
"p2",
"p4",
"p7",
"p9",
"p10",
"p11",
"p13",
"p15",
"p16",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6115721667113790433226693
% SZS output start Proof for 6115721667113790433226693
1. ! [X0] : ((rich(X0) | kind(X0)) => (~wise(X0) & ~old(X0))) [input p0]
2. ! [X0] : (~happy(X0) <=> (~patient(X0) | wise(X0))) [input p1]
3. ! [X0] : ((calm(X0) | ~old(X0)) <=> (~kind(X0) <~> calm(X0))) [inp... | 0 |
Everyone who is either not curious or not funny is either brave or calm and vice versa.
Everyone who is not calm is both not quiet and happy and vice versa.
Everyone who is either happy or not kind is either not quiet or rich and vice versa.
Everyone who is either brave or not happy is both curious and tall.
If paul is... | Alice is tall. | neutral | (![X]:((~curious(X)<~>~funny(X))<=>(brave(X)<~>calm(X))))&
(![X]:(~calm(X)<=>(~quiet(X)&happy(X))))&
(![X]:((happy(X)<~>~kind(X))<=>(~quiet(X)<~>rich(X))))&
(![X]:((brave(X)<~>~happy(X))=>(curious(X)&tall(X))))&
(((~humble(paul)<~>~rich(paul)))=>(curious(susan)))&
(((humble(paul)<~>~creative(paul)))<=>(?[X]:((~creative... | tall(alice) | [] | null | 0 |
Everyone who is quiet is both tall and generous and vice versa. If lucy is both old and wise then someone is both not brave and creative. Everyone who is old or not humble is both not strong and not tall and vice versa. If fred is generous then alice is both not kind and creative. Everyone who is both brave and not ric... | Paul is quiet. | entailment | (![X]:(quiet(X)<=>(tall(X)&generous(X))))&
(((old(lucy)&wise(lucy)))=>(?[X]:((~brave(X)&creative(X)))))&
(![X]:((old(X)|~humble(X))<=>(~strong(X)&~tall(X))))&
((generous(fred))=>((~kind(alice)&creative(alice))))&
(![X]:((brave(X)&~rich(X))=>(~calm(X)|~kind(X))))&
(![X]:((humble(X)|~strong(X))<=>(calm(X)<~>funny(X))))&
... | quiet(paul) | [
"p15",
"p17",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7881229522926535501226561
% SZS output start Proof for 7881229522926535501226561
16. ? [X0] : ~rich(X0) <=> quiet(paul) [input p15]
18. brave(mary) & ~quiet(mary) [input p17]
20. ~quiet(mary) <~> rich(mary) [input p19]
25. ~quiet(paul) [input hypothesis]
62. (? [X0] : ~rich(X0) | ~quiet(p... | 0 |
Everyone who is calm or not funny is both rich and not tall. Everyone who is curious is both not funny and not happy. Everyone who is both quiet and not generous is either funny or wise. Everyone who is either brave or not funny is both kind and not happy and vice versa. If paul is both not calm and humble then paul is... | Paul is brave. | contradiction | (![X]:((calm(X)|~funny(X))=>(rich(X)&~tall(X))))&
(![X]:(curious(X)=>(~funny(X)&~happy(X))))&
(![X]:((quiet(X)&~generous(X))=>(funny(X)<~>wise(X))))&
(![X]:((brave(X)<~>~funny(X))<=>(kind(X)&~happy(X))))&
(((~calm(paul)&humble(paul)))=>((humble(paul)&~tall(paul))))&
(![X]:((funny(X)|~generous(X))<=>(~funny(X)<~>brave(X... | brave(paul) | [
"p0",
"p5",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5482840102226865751566119
% SZS output start Proof for 5482840102226865751566119
1. ! [X0] : ((~funny(X0) | calm(X0)) => (~tall(X0) & rich(X0))) [input p0]
6. ! [X0] : ((~generous(X0) | funny(X0)) <=> (~funny(X0) <~> brave(X0))) [input p5]
14. (~tall(mary) | ~wise(mary)) <=> (~brave(paul)... | 0 |
If fred is both not wise and not quiet then someone is both not funny and tall and vice versa. If john is either not rich or not calm then john is both not wise and not kind. Everyone who is both not strong and not generous is funny or curious and vice versa. Everyone who is both generous and not patient is not humble.... | Fred is funny. | contradiction | (((~wise(fred)&~quiet(fred)))<=>(?[X]:((~funny(X)&tall(X)))))&
(((~rich(john)<~>~calm(john)))=>((~wise(john)&~kind(john))))&
(![X]:((~strong(X)&~generous(X))<=>(funny(X)|curious(X))))&
(![X]:((generous(X)&~patient(X))=>~humble(X)))&
(((~old(alice)&old(alice)))<=>((strong(paul)|wise(paul))))&
((?[X]:((curious(X)<~>gener... | funny(fred) | [
"p2",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2899663857808329401768380
% SZS output start Proof for 2899663857808329401768380
3. ! [X0] : ((~generous(X0) & ~strong(X0)) <=> (curious(X0) | funny(X0))) [input p2]
13. ! [X0] : ((~brave(X0) | brave(X0)) <=> ~brave(X0)) [input p12]
15. ! [X0] : ((~brave(X0) & ~strong(X0)) => (~brave(X0) ... | 0 |
If someone is kind or humble then fred is both not funny and not rich.
Everyone who is either rich or not rich is both old and quiet and vice versa.
Everyone who is tall is not funny or not quiet and vice versa.
If someone is brave or quiet then someone is either calm or wise.
Everyone who is curious is either patient ... | Lucy is not patient. | contradiction | ((?[X]:((kind(X)|humble(X))))=>((~funny(fred)&~rich(fred))))&
(![X]:((rich(X)<~>~rich(X))<=>(old(X)&quiet(X))))&
(![X]:(tall(X)<=>(~funny(X)|~quiet(X))))&
((?[X]:((brave(X)|quiet(X))))=>(?[X]:((calm(X)<~>wise(X)))))&
(![X]:(curious(X)<=>(patient(X)<~>~humble(X))))&
(((generous(lucy)|~tall(lucy)))=>(?[X]:((~creative(X)<... | ~patient(lucy) | [
"p2",
"p8",
"p10",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 4212809785828810821323418
% SZS output start Proof for 4212809785828810821323418
3. ! [X0] : (tall(X0) <=> (~quiet(X0) | ~funny(X0))) [input p2]
9. ! [X0] : ((~kind(X0) & ~curious(X0)) <=> (generous(X0) <~> ~funny(X0))) [input p8]
11. ! [X0] : (tall(X0) <=> ~curious(X0)) [input p10]
12. !... | 0 |
If someone is not creative or curious then someone is funny or calm.
Everyone who is both not old and strong is generous or not patient and vice versa.
Everyone who is both strong and brave is not creative.
Everyone who is both not generous and not curious is funny.
Everyone who is not strong is both not strong and pat... | John is generous. | contradiction | ((?[X]:((~creative(X)|curious(X))))=>(?[X]:((funny(X)|calm(X)))))&
(![X]:((~old(X)&strong(X))<=>(generous(X)|~patient(X))))&
(![X]:((strong(X)&brave(X))=>~creative(X)))&
(![X]:((~generous(X)&~curious(X))=>funny(X)))&
(![X]:(~strong(X)<=>(~strong(X)&patient(X))))&
(![X]:((~happy(X)&tall(X))=>(~tall(X)&~creative(X))))&
(... | generous(john) | [
"p1",
"p10",
"p11",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5641027633305520776458507
% SZS output start Proof for 5641027633305520776458507
2. ! [X0] : ((strong(X0) & ~old(X0)) <=> (~patient(X0) | generous(X0))) [input p1]
11. ! [X0] : ((tall(X0) <~> ~tall(X0)) <=> (tall(X0) <~> generous(X0))) [input p10]
12. ! [X0] : (~tall(X0) <=> (~old(X0) <~>... | 0 |
Everyone who is not old or generous is not creative.
Everyone who is both tall and not creative is both not calm and not creative.
Everyone who is not curious is strong and vice versa.
If someone is both not brave and not calm then lucy is not humble or not tall and vice versa.
Everyone who is either not quiet or calm ... | Mary is quiet. | neutral | (![X]:((~old(X)|generous(X))=>~creative(X)))&
(![X]:((tall(X)&~creative(X))=>(~calm(X)&~creative(X))))&
(![X]:(~curious(X)<=>strong(X)))&
((?[X]:((~brave(X)&~calm(X))))<=>((~humble(lucy)|~tall(lucy))))&
(![X]:((~quiet(X)<~>calm(X))=>quiet(X)))&
((?[X]:((~generous(X)|~quiet(X))))<=>(?[X]:(curious(X))))&
(![X]:((strong(X... | quiet(mary) | [] | null | 0 |
Everyone who is not calm or rich is not funny or not curious and vice versa.
Everyone who is both not happy and wise is either not quiet or not funny and vice versa.
Everyone who is either tall or strong is not kind and vice versa.
If mary is not funny then someone is not calm.
If someone is both not creative and happy... | Alice is happy. | entailment | (![X]:((~calm(X)|rich(X))<=>(~funny(X)|~curious(X))))&
(![X]:((~happy(X)&wise(X))<=>(~quiet(X)<~>~funny(X))))&
(![X]:((tall(X)<~>strong(X))<=>~kind(X)))&
((~funny(mary))=>(?[X]:(~calm(X))))&
((?[X]:((~creative(X)&happy(X))))<=>(?[X]:((generous(X)&~creative(X)))))&
(![X]:((~generous(X)|generous(X))=>happy(X)))&
(![X]:((... | happy(alice) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 3334222702753094625265061
% SZS output start Proof for 3334222702753094625265061
6. ! [X0] : ((generous(X0) | ~generous(X0)) => happy(X0)) [input p5]
20. ~happy(alice) [input hypothesis]
25. ! [X0] : (happy(X0) | (~generous(X0) & generous(X0))) [ennf transformation 6]
78. happy(X0) | gene... | 0 |
Everyone who is either not strong or wise is patient and vice versa. Everyone who is creative or not old is funny. If alice is either tall or not generous then someone is not strong or generous and vice versa. Everyone who is not quiet is both not curious and brave and vice versa. If alice is strong then fred is not ca... | Alice is not funny. | contradiction | (![X]:((~strong(X)<~>wise(X))<=>patient(X)))&
(![X]:((creative(X)|~old(X))=>funny(X)))&
(((tall(alice)<~>~generous(alice)))<=>(?[X]:((~strong(X)|generous(X)))))&
(![X]:(~quiet(X)<=>(~curious(X)&brave(X))))&
((strong(alice))<=>((~calm(fred)|~kind(fred))))&
(((~wise(fred)&curious(fred)))<=>((~brave(susan)&~happy(susan)))... | ~funny(alice) | [
"p0",
"p1",
"p7",
"p11",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3436789672218006690310293
% SZS output start Proof for 3436789672218006690310293
1. ! [X0] : ((~strong(X0) <~> wise(X0)) <=> patient(X0)) [input p0]
2. ! [X0] : ((~old(X0) | creative(X0)) => funny(X0)) [input p1]
8. ! [X0] : ((~quiet(X0) | wise(X0)) => (creative(X0) & ~rich(X0))) [input p... | 0 |
If lucy is both not wise and brave then someone is both not kind and not rich and vice versa. Everyone who is both generous and funny is calm or not funny. Everyone who is not funny or funny is calm. Everyone who is both creative and not humble is both generous and not creative and vice versa. If someone is generous or... | Susan is not creative. | contradiction | (((~wise(lucy)&brave(lucy)))<=>(?[X]:((~kind(X)&~rich(X)))))&
(![X]:((generous(X)&funny(X))=>(calm(X)|~funny(X))))&
(![X]:((~funny(X)|funny(X))=>calm(X)))&
(![X]:((creative(X)&~humble(X))<=>(generous(X)&~creative(X))))&
((?[X]:((generous(X)|~curious(X))))=>((humble(alice)&quiet(alice))))&
(![X]:(funny(X)=>patient(X)))&... | ~creative(susan) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7850341380643033469486092
% SZS output start Proof for 7850341380643033469486092
21. ~strong(susan) & creative(susan) [input p20]
25. ~creative(susan) [input hypothesis]
141. creative(susan) [cnf transformation 21]
147. ~creative(susan) [cnf transformation 25]
321. $false [subsumption res... | 0 |
Everyone who is either not happy or not old is calm.
Everyone who is either old or curious is both happy and calm.
Everyone who is both not creative and brave is kind.
If someone is generous or tall then someone is patient or not humble and vice versa.
If susan is not old or not quiet then someone is generous and vice ... | Alice is strong. | contradiction | (![X]:((~happy(X)<~>~old(X))=>calm(X)))&
(![X]:((old(X)<~>curious(X))=>(happy(X)&calm(X))))&
(![X]:((~creative(X)&brave(X))=>kind(X)))&
((?[X]:((generous(X)|tall(X))))<=>(?[X]:((patient(X)|~humble(X)))))&
(((~old(susan)|~quiet(susan)))<=>(?[X]:(generous(X))))&
(![X]:((~generous(X)&quiet(X))=>(~quiet(X)&~tall(X))))&
(![... | strong(alice) | [
"p1",
"p8",
"p13",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 742833678625680727578952
% SZS output start Proof for 742833678625680727578952
2. ! [X0] : ((old(X0) <~> curious(X0)) => (calm(X0) & happy(X0))) [input p1]
9. ! [X0] : ((curious(X0) | happy(X0)) => (~calm(X0) & ~tall(X0))) [input p8]
14. ! [X0] : ((~generous(X0) | ~old(X0)) <=> (~curious(... | 0 |
Everyone who is either not rich or funny is both patient and not old.
If john is either not patient or not kind then someone is both not tall and happy.
Everyone who is either brave or kind is not happy.
If someone is either generous or funny then alice is not generous and vice versa.
If paul is not creative then mary ... | John is rich. | contradiction | (![X]:((~rich(X)<~>funny(X))=>(patient(X)&~old(X))))&
(((~patient(john)<~>~kind(john)))=>(?[X]:((~tall(X)&happy(X)))))&
(![X]:((brave(X)<~>kind(X))=>~happy(X)))&
((?[X]:((generous(X)<~>funny(X))))<=>(~generous(alice)))&
((~creative(paul))=>((~curious(mary)|generous(mary))))&
(![X]:((~generous(X)|calm(X))=>(~quiet(X)&cr... | rich(john) | [
"p0",
"p8",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4673660467729360611757057
% SZS output start Proof for 4673660467729360611757057
1. ! [X0] : ((~rich(X0) <~> funny(X0)) => (~old(X0) & patient(X0))) [input p0]
9. ! [X0] : ((old(X0) <~> ~quiet(X0)) <=> (rich(X0) <~> ~quiet(X0))) [input p8]
13. ! [X0] : (funny(X0) <=> (~wise(X0) | humble(X... | 0 |
If alice is either not old or wise then someone is both not quiet and tall and vice versa.
Everyone who is not quiet is both tall and old.
If someone is either funny or not tall then someone is not creative or not rich and vice versa.
Everyone who is either quiet or not calm is both not strong and not quiet and vice ve... | Susan is funny. | contradiction | (((~old(alice)<~>wise(alice)))<=>(?[X]:((~quiet(X)&tall(X)))))&
(![X]:(~quiet(X)=>(tall(X)&old(X))))&
((?[X]:((funny(X)<~>~tall(X))))<=>(?[X]:((~creative(X)|~rich(X)))))&
(![X]:((quiet(X)<~>~calm(X))<=>(~strong(X)&~quiet(X))))&
(![X]:((wise(X)|calm(X))<=>~funny(X)))&
((?[X]:((humble(X)&~patient(X))))<=>((quiet(john)&cr... | funny(susan) | [
"p3",
"p4",
"p9",
"p19",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 5092273708528206406686223
% SZS output start Proof for 5092273708528206406686223
4. ! [X0] : ((quiet(X0) <~> ~calm(X0)) <=> (~quiet(X0) & ~strong(X0))) [input p3]
5. ! [X0] : ((calm(X0) | wise(X0)) <=> ~funny(X0)) [input p4]
10. ! [X0] : ((~strong(X0) & curious(X0)) => (~wise(X0) <~> curi... | 0 |
Everyone who is not quiet is either not quiet or calm and vice versa. If someone is both not tall and not strong then someone is both creative and not tall and vice versa. If someone is both brave and not generous then someone is not brave or not patient. If someone is either funny or not creative then susan is both ki... | Lucy is old. | contradiction | (![X]:(~quiet(X)<=>(~quiet(X)<~>calm(X))))&
((?[X]:((~tall(X)&~strong(X))))<=>(?[X]:((creative(X)&~tall(X)))))&
((?[X]:((brave(X)&~generous(X))))=>(?[X]:((~brave(X)|~patient(X)))))&
((?[X]:((funny(X)<~>~creative(X))))<=>((kind(susan)&~rich(susan))))&
((?[X]:(~brave(X)))<=>((quiet(alice)|~calm(alice))))&
((?[X]:((tall(X... | old(lucy) | [
"p0",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 3956580593509190529379764
% SZS output start Proof for 3956580593509190529379764
1. ! [X0] : (~quiet(X0) <=> (~quiet(X0) <~> calm(X0))) [input p0]
9. ! [X0] : ((~curious(X0) & ~calm(X0)) <=> (~old(X0) | curious(X0))) [input p8]
22. old(lucy) [input hypothesis]
36. ! [X0] : ((~quiet(X0) | ... | 0 |
If someone is both tall and brave then susan is not wise. If lucy is quiet or not creative then someone is happy or not patient and vice versa. Everyone who is either rich or curious is old. If someone is both calm and rich then someone is not brave. If fred is either not old or humble then someone is not strong. Every... | Fred is not brave. | contradiction | ((?[X]:((tall(X)&brave(X))))=>(~wise(susan)))&
(((quiet(lucy)|~creative(lucy)))<=>(?[X]:((happy(X)|~patient(X)))))&
(![X]:((rich(X)<~>curious(X))=>old(X)))&
((?[X]:((calm(X)&rich(X))))=>(?[X]:(~brave(X))))&
(((~old(fred)<~>humble(fred)))=>(?[X]:(~strong(X))))&
(![X]:(funny(X)=>(calm(X)&~rich(X))))&
(((rich(paul)|happy(... | ~brave(fred) | [
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 586043454154736588122634
% SZS output start Proof for 586043454154736588122634
8. ! [X0] : (wise(X0) <=> strong(X0)) [input p7]
16. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> brave(X0)) [input p15]
25. ~brave(fred) [input hypothesis]
48. ! [X0] : ((wise(X0) | ~strong(X0)) & (strong(X0) | ~w... | 0 |
If fred is creative or not funny then lucy is patient and vice versa.
Everyone who is not strong or old is both tall and patient and vice versa.
Everyone who is funny or curious is not rich.
Everyone who is not happy or not patient is either rich or funny and vice versa.
If someone is kind then someone is wise or rich ... | Susan is happy. | entailment | (((creative(fred)|~funny(fred)))<=>(patient(lucy)))&
(![X]:((~strong(X)|old(X))<=>(tall(X)&patient(X))))&
(![X]:((funny(X)|curious(X))=>~rich(X)))&
(![X]:((~happy(X)|~patient(X))<=>(rich(X)<~>funny(X))))&
((?[X]:(kind(X)))<=>(?[X]:((wise(X)|rich(X)))))&
((?[X]:((~curious(X)<~>rich(X))))=>(?[X]:((kind(X)&creative(X)))))... | happy(susan) | [
"p2",
"p3",
"p7",
"p11",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8683971818313857692695079
% SZS output start Proof for 8683971818313857692695079
3. ! [X0] : ((curious(X0) | funny(X0)) => ~rich(X0)) [input p2]
4. ! [X0] : ((~patient(X0) | ~happy(X0)) <=> (rich(X0) <~> funny(X0))) [input p3]
8. ! [X0] : ((brave(X0) <~> ~humble(X0)) <=> (strong(X0) & ~hu... | 0 |
If someone is not kind then someone is either not generous or creative and vice versa.
Everyone who is both not wise and wise is both happy and not rich.
Everyone who is both rich and not curious is both creative and not kind and vice versa.
If someone is quiet then someone is not calm and vice versa.
If someone is not... | Susan is not funny. | neutral | ((?[X]:(~kind(X)))<=>(?[X]:((~generous(X)<~>creative(X)))))&
(![X]:((~wise(X)&wise(X))=>(happy(X)&~rich(X))))&
(![X]:((rich(X)&~curious(X))<=>(creative(X)&~kind(X))))&
((?[X]:(quiet(X)))<=>(?[X]:(~calm(X))))&
((?[X]:((~curious(X)|rich(X))))=>(?[X]:((~wise(X)&~humble(X)))))&
(![X]:(~wise(X)<=>(curious(X)&brave(X))))&
((... | ~funny(susan) | [] | null | 0 |
If someone is not old then alice is wise and vice versa. Everyone who is both not generous and generous is not tall or not creative. Everyone who is rich or not happy is not quiet or strong and vice versa. Everyone who is funny is both not humble and not tall. Everyone who is either kind or wise is both humble and not ... | Paul is not tall. | neutral | ((?[X]:(~old(X)))<=>(wise(alice)))&
(![X]:((~generous(X)&generous(X))=>(~tall(X)|~creative(X))))&
(![X]:((rich(X)|~happy(X))<=>(~quiet(X)|strong(X))))&
(![X]:(funny(X)=>(~humble(X)&~tall(X))))&
(![X]:((kind(X)<~>wise(X))=>(humble(X)&~calm(X))))&
(![X]:((funny(X)<~>strong(X))=>(rich(X)<~>brave(X))))&
(![X]:((~happy(X)&~... | ~tall(paul) | [] | null | 0 |
If someone is either not tall or not rich then susan is kind and vice versa.
If someone is not humble then someone is not tall or curious and vice versa.
Everyone who is both not generous and brave is either not happy or quiet.
Everyone who is both not rich and strong is tall and vice versa.
If john is either funny or ... | Fred is not generous. | neutral | ((?[X]:((~tall(X)<~>~rich(X))))<=>(kind(susan)))&
((?[X]:(~humble(X)))<=>(?[X]:((~tall(X)|curious(X)))))&
(![X]:((~generous(X)&brave(X))=>(~happy(X)<~>quiet(X))))&
(![X]:((~rich(X)&strong(X))<=>tall(X)))&
(((funny(john)<~>~curious(john)))=>((~kind(paul)|~calm(paul))))&
((strong(paul))=>(?[X]:(old(X))))&
(![X]:((happy(X... | ~generous(fred) | [] | null | 0 |
Everyone who is not humble or happy is not humble and vice versa.
Everyone who is wise or not kind is tall and vice versa.
Everyone who is kind or not old is both calm and old and vice versa.
Everyone who is both funny and strong is not kind or happy.
Everyone who is not rich is not calm or not curious.
Everyone who is... | Susan is calm. | entailment | (![X]:((~humble(X)|happy(X))<=>~humble(X)))&
(![X]:((wise(X)|~kind(X))<=>tall(X)))&
(![X]:((kind(X)|~old(X))<=>(calm(X)&old(X))))&
(![X]:((funny(X)&strong(X))=>(~kind(X)|happy(X))))&
(![X]:(~rich(X)=>(~calm(X)|~curious(X))))&
(![X]:((calm(X)<~>~old(X))<=>(~quiet(X)&~patient(X))))&
(((quiet(john)<~>humble(john)))<=>(?[X... | calm(susan) | [
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5891580476405714229373122
% SZS output start Proof for 5891580476405714229373122
3. ! [X0] : ((~old(X0) | kind(X0)) <=> (old(X0) & calm(X0))) [input p2]
11. ! [X0] : ((calm(X0) & rich(X0)) <=> (old(X0) | ~generous(X0))) [input p10]
20. ~calm(susan) [input hypothesis]
35. ! [X0] : (((~old(... | 0 |
If someone is old then fred is not tall or not generous and vice versa. If fred is not happy then someone is not calm or not creative and vice versa. If fred is brave or not quiet then someone is either brave or not kind and vice versa. Everyone who is either not funny or old is kind. Everyone who is tall or kind is ei... | Fred is happy. | neutral | ((?[X]:(old(X)))<=>((~tall(fred)|~generous(fred))))&
((~happy(fred))<=>(?[X]:((~calm(X)|~creative(X)))))&
(((brave(fred)|~quiet(fred)))<=>(?[X]:((brave(X)<~>~kind(X)))))&
(![X]:((~funny(X)<~>old(X))=>kind(X)))&
(![X]:((tall(X)|kind(X))<=>(curious(X)<~>tall(X))))&
(![X]:((strong(X)&funny(X))=>old(X)))&
(![X]:((wise(X)|c... | happy(fred) | [] | null | 0 |
Everyone who is not calm or patient is old.
Everyone who is old or not kind is both calm and generous and vice versa.
Everyone who is either not rich or wise is both not humble and curious and vice versa.
If someone is not creative or not calm then susan is either not old or not strong and vice versa.
Everyone who is o... | John is brave. | contradiction | (![X]:((~calm(X)|patient(X))=>old(X)))&
(![X]:((old(X)|~kind(X))<=>(calm(X)&generous(X))))&
(![X]:((~rich(X)<~>wise(X))<=>(~humble(X)&curious(X))))&
((?[X]:((~creative(X)|~calm(X))))<=>((~old(susan)<~>~strong(susan))))&
(![X]:(old(X)=>(quiet(X)<~>~strong(X))))&
(![X]:(~strong(X)=>(kind(X)<~>~calm(X))))&
((?[X]:(~curiou... | brave(john) | [
"p0",
"p1",
"p2",
"p8",
"p12",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 3681238110492811770218935
% SZS output start Proof for 3681238110492811770218935
1. ! [X0] : ((patient(X0) | ~calm(X0)) => old(X0)) [input p0]
2. ! [X0] : ((~kind(X0) | old(X0)) <=> (generous(X0) & calm(X0))) [input p1]
3. ! [X0] : ((~rich(X0) <~> wise(X0)) <=> (curious(X0) & ~humble(X0))... | 0 |
Everyone who is either funny or not curious is either old or tall. Everyone who is not patient is happy and vice versa. If lucy is both wise and not wise then someone is not curious or rich. If someone is either not old or not curious then paul is either not happy or kind and vice versa. Everyone who is patient or stro... | Mary is curious. | neutral | (![X]:((funny(X)<~>~curious(X))=>(old(X)<~>tall(X))))&
(![X]:(~patient(X)<=>happy(X)))&
(((wise(lucy)&~wise(lucy)))=>(?[X]:((~curious(X)|rich(X)))))&
((?[X]:((~old(X)<~>~curious(X))))<=>((~happy(paul)<~>kind(paul))))&
(![X]:((patient(X)|strong(X))=>(~curious(X)|~humble(X))))&
(![X]:((calm(X)|~old(X))<=>~creative(X)))&
... | curious(mary) | [] | null | 0 |
Everyone who is either not funny or quiet is either quiet or not funny.
If fred is not strong then mary is not old or not curious and vice versa.
If susan is humble then alice is funny and vice versa.
Everyone who is both strong and quiet is both not calm and not kind and vice versa.
Everyone who is either not creative... | Lucy is patient. | contradiction | (![X]:((~funny(X)<~>quiet(X))=>(quiet(X)<~>~funny(X))))&
((~strong(fred))<=>((~old(mary)|~curious(mary))))&
((humble(susan))<=>(funny(alice)))&
(![X]:((strong(X)&quiet(X))<=>(~calm(X)&~kind(X))))&
(![X]:((~creative(X)<~>kind(X))<=>(~curious(X)|creative(X))))&
(![X]:(patient(X)<=>(wise(X)&~wise(X))))&
(![X]:(~humble(X)<... | patient(lucy) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 2625715174947377718509
% SZS output start Proof for 2625715174947377718509
6. ! [X0] : (patient(X0) <=> (~wise(X0) & wise(X0))) [input p5]
24. patient(lucy) [input hypothesis]
42. ! [X0] : ((patient(X0) | (wise(X0) | ~wise(X0))) & ((~wise(X0) & wise(X0)) | ~patient(X0))) [nnf transformati... | 0 |
If fred is both happy and not tall then someone is either not funny or quiet and vice versa. If lucy is not wise then someone is either funny or not quiet and vice versa. If mary is brave or not patient then mary is both not patient and old and vice versa. Everyone who is not patient or curious is both not calm and qui... | Fred is not brave. | neutral | (((happy(fred)&~tall(fred)))<=>(?[X]:((~funny(X)<~>quiet(X)))))&
((~wise(lucy))<=>(?[X]:((funny(X)<~>~quiet(X)))))&
(((brave(mary)|~patient(mary)))<=>((~patient(mary)&old(mary))))&
(![X]:((~patient(X)|curious(X))<=>(~calm(X)&quiet(X))))&
(![X]:((calm(X)|~kind(X))=>(~calm(X)&kind(X))))&
((~old(paul))=>((happy(lucy)&~fun... | ~brave(fred) | [] | null | 0 |
Everyone who is not calm or not quiet is both not patient and patient.
Everyone who is both rich and not quiet is generous or not old.
Everyone who is generous or creative is not rich or funny.
Everyone who is not rich is not calm or strong and vice versa.
If someone is not old or strong then someone is either kind or ... | Mary is funny. | contradiction | (![X]:((~calm(X)|~quiet(X))=>(~patient(X)&patient(X))))&
(![X]:((rich(X)&~quiet(X))=>(generous(X)|~old(X))))&
(![X]:((generous(X)|creative(X))=>(~rich(X)|funny(X))))&
(![X]:(~rich(X)<=>(~calm(X)|strong(X))))&
((?[X]:((~old(X)|strong(X))))=>(?[X]:((kind(X)<~>~quiet(X)))))&
(![X]:(creative(X)=>~tall(X)))&
(![X]:((~calm(X... | funny(mary) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1517706435499221921429629
% SZS output start Proof for 1517706435499221921429629
20. ~wise(mary) & ~funny(mary) [input p19]
24. funny(mary) [input hypothesis]
31. ~funny(mary) [pure predicate removal 20]
130. ~funny(mary) [cnf transformation 31]
137. funny(mary) [cnf transformation 24]
19... | 0 |
Everyone who is not brave or not calm is quiet or tall. Everyone who is wise or not kind is either not strong or not quiet. Everyone who is quiet is funny or not happy and vice versa. Everyone who is either curious or not creative is either creative or old. Everyone who is not patient or not curious is strong. If someo... | John is not strong. | contradiction | (![X]:((~brave(X)|~calm(X))=>(quiet(X)|tall(X))))&
(![X]:((wise(X)|~kind(X))=>(~strong(X)<~>~quiet(X))))&
(![X]:(quiet(X)<=>(funny(X)|~happy(X))))&
(![X]:((curious(X)<~>~creative(X))=>(creative(X)<~>old(X))))&
(![X]:((~patient(X)|~curious(X))=>strong(X)))&
((?[X]:(rich(X)))<=>(~funny(john)))&
((?[X]:(rich(X)))<=>((wise... | ~strong(john) | [
"p4",
"p5",
"p15",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8732132408624528749124240
% SZS output start Proof for 8732132408624528749124240
5. ! [X0] : ((~curious(X0) | ~patient(X0)) => strong(X0)) [input p4]
6. ? [X0] : rich(X0) <=> ~funny(john) [input p5]
16. ! [X0] : ((~strong(X0) <~> ~funny(X0)) <=> patient(X0)) [input p15]
18. rich(paul) & ~... | 0 |
Everyone who is quiet is both strong and not quiet.
Everyone who is both not old and generous is generous and vice versa.
If susan is either strong or calm then someone is old.
If fred is both not quiet and not kind then paul is both humble and not tall.
If john is not humble then someone is not quiet or calm and vice ... | Fred is not rich. | contradiction | (![X]:(quiet(X)=>(strong(X)&~quiet(X))))&
(![X]:((~old(X)&generous(X))<=>generous(X)))&
(((strong(susan)<~>calm(susan)))=>(?[X]:(old(X))))&
(((~quiet(fred)&~kind(fred)))=>((humble(paul)&~tall(paul))))&
((~humble(john))<=>(?[X]:((~quiet(X)|calm(X)))))&
(![X]:((~old(X)<~>~calm(X))<=>(funny(X)&~generous(X))))&
(((~patient... | ~rich(fred) | [
"p0",
"p6",
"p7",
"p11",
"p14",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 513630533083809031340851
% SZS output start Proof for 513630533083809031340851
1. ! [X0] : (quiet(X0) => (~quiet(X0) & strong(X0))) [input p0]
7. (~quiet(mary) & ~patient(mary)) <=> ? [X0] : (~rich(X0) <~> ~old(X0)) [input p6]
8. (old(fred) | quiet(fred)) <=> (humble(lucy) | ~brave(lucy))... | 0 |
Everyone who is both calm and not wise is both brave and not humble and vice versa.
If paul is either funny or not kind then someone is patient or not happy.
Everyone who is both not wise and creative is either strong or not quiet.
If mary is either old or calm then susan is not curious.
If fred is curious then someone... | Fred is calm. | contradiction | (![X]:((calm(X)&~wise(X))<=>(brave(X)&~humble(X))))&
(((funny(paul)<~>~kind(paul)))=>(?[X]:((patient(X)|~happy(X)))))&
(![X]:((~wise(X)&creative(X))=>(strong(X)<~>~quiet(X))))&
(((old(mary)<~>calm(mary)))=>(~curious(susan)))&
((curious(fred))=>(?[X]:(~wise(X))))&
((old(alice))<=>(?[X]:((~brave(X)&strong(X)))))&
((~tall... | calm(fred) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5774604414422396015222609
% SZS output start Proof for 5774604414422396015222609
9. ! [X0] : (~tall(X0) <=> (tall(X0) & calm(X0))) [input p8]
25. calm(fred) [input hypothesis]
54. ! [X0] : ((~tall(X0) | (~tall(X0) | ~calm(X0))) & ((tall(X0) & calm(X0)) | tall(X0))) [nnf transformation 9]
... | 0 |
Everyone who is not rich or not humble is either rich or tall. Everyone who is quiet is not patient and vice versa. Everyone who is both calm and not curious is either not calm or old and vice versa. Everyone who is either tall or not wise is brave. If paul is both not strong and creative then someone is both wise and ... | Paul is not funny. | entailment | (![X]:((~rich(X)|~humble(X))=>(rich(X)<~>tall(X))))&
(![X]:(quiet(X)<=>~patient(X)))&
(![X]:((calm(X)&~curious(X))<=>(~calm(X)<~>old(X))))&
(![X]:((tall(X)<~>~wise(X))=>brave(X)))&
(((~strong(paul)&creative(paul)))=>(?[X]:((wise(X)&~brave(X)))))&
(![X]:((~happy(X)|strong(X))<=>(~humble(X)|~rich(X))))&
(![X]:((~creative... | ~funny(paul) | [
"p1",
"p2",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4966377599515390465181837
% SZS output start Proof for 4966377599515390465181837
2. ! [X0] : (quiet(X0) <=> ~patient(X0)) [input p1]
3. ! [X0] : ((~curious(X0) & calm(X0)) <=> (~calm(X0) <~> old(X0))) [input p2]
10. ! [X0] : ((kind(X0) | ~old(X0)) <=> ~curious(X0)) [input p9]
13. ! [X0] :... | 0 |
Everyone who is either patient or not strong is both not calm and brave and vice versa.
Everyone who is not strong is kind or not calm and vice versa.
If susan is old or not tall then someone is quiet.
If someone is both quiet and happy then fred is happy or generous and vice versa.
Everyone who is not wise or not rich... | Alice is calm. | contradiction | (![X]:((patient(X)<~>~strong(X))<=>(~calm(X)&brave(X))))&
(![X]:(~strong(X)<=>(kind(X)|~calm(X))))&
(((old(susan)|~tall(susan)))=>(?[X]:(quiet(X))))&
((?[X]:((quiet(X)&happy(X))))<=>((happy(fred)|generous(fred))))&
(![X]:((~wise(X)|~rich(X))=>(~happy(X)&~brave(X))))&
(![X]:((~curious(X)<~>~brave(X))<=>(curious(X)|funny... | calm(alice) | [
"p0",
"p1",
"p5",
"p6",
"p11",
"p14",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 6976979087525171003282055
% SZS output start Proof for 6976979087525171003282055
1. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p0]
2. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p1]
6. ! [X0] : ((~curious(X0) <~> ~brave(X0)) <=> (funny(X0) | c... | 0 |
If alice is not wise then lucy is humble or not strong and vice versa. Everyone who is rich is not humble or wise and vice versa. Everyone who is wise is either not kind or not patient and vice versa. Everyone who is either not strong or not tall is either not strong or not calm and vice versa. Everyone who is not pati... | Alice is wise. | entailment | ((~wise(alice))<=>((humble(lucy)|~strong(lucy))))&
(![X]:(rich(X)<=>(~humble(X)|wise(X))))&
(![X]:(wise(X)<=>(~kind(X)<~>~patient(X))))&
(![X]:((~strong(X)<~>~tall(X))<=>(~strong(X)<~>~calm(X))))&
(![X]:((~patient(X)|~calm(X))=>(rich(X)|tall(X))))&
(![X]:(kind(X)<=>(~generous(X)|~quiet(X))))&
((?[X]:((~generous(X)<~>ri... | wise(alice) | [
"p1",
"p3",
"p7",
"p13",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 5539848936969005706891065
% SZS output start Proof for 5539848936969005706891065
2. ! [X0] : (rich(X0) <=> (wise(X0) | ~humble(X0))) [input p1]
4. ! [X0] : ((~strong(X0) <~> ~tall(X0)) <=> (~strong(X0) <~> ~calm(X0))) [input p3]
8. ! [X0] : ((~rich(X0) | wise(X0)) => (~creative(X0) & wise... | 0 |
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