premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
If someone is both not wise and not rich then someone is either strong or old. Everyone who is not patient or rich is not humble and vice versa. If someone is both not kind and not tall then susan is not tall or happy and vice versa. Everyone who is patient or not generous is happy and vice versa. If susan is both not ... | Susan is not funny. | entailment | ((?[X]:((~wise(X)&~rich(X))))=>(?[X]:((strong(X)<~>old(X)))))&
(![X]:((~patient(X)|rich(X))<=>~humble(X)))&
((?[X]:((~kind(X)&~tall(X))))<=>((~tall(susan)|happy(susan))))&
(![X]:((patient(X)|~generous(X))<=>happy(X)))&
(((~strong(susan)&~calm(susan)))=>(?[X]:((~humble(X)<~>~creative(X)))))&
(((curious(fred)<~>rich(fred... | ~funny(susan) | [
"p1",
"p2",
"p3",
"p7",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 843110087191955709883011
% SZS output start Proof for 843110087191955709883011
2. ! [X0] : ((rich(X0) | ~patient(X0)) <=> ~humble(X0)) [input p1]
3. ? [X0] : (~tall(X0) & ~kind(X0)) <=> (happy(susan) | ~tall(susan)) [input p2]
4. ! [X0] : ((~generous(X0) | patient(X0)) <=> happy(X0)) [inp... | 0 |
If someone is both not patient and kind then fred is either not wise or not funny and vice versa.
Everyone who is brave or wise is both not curious and not happy.
Everyone who is quiet or happy is both not humble and generous and vice versa.
Everyone who is both not patient and tall is both quiet and old and vice versa... | Paul is not strong. | neutral | ((?[X]:((~patient(X)&kind(X))))<=>((~wise(fred)<~>~funny(fred))))&
(![X]:((brave(X)|wise(X))=>(~curious(X)&~happy(X))))&
(![X]:((quiet(X)|happy(X))<=>(~humble(X)&generous(X))))&
(![X]:((~patient(X)&tall(X))<=>(quiet(X)&old(X))))&
(![X]:((~calm(X)<~>~brave(X))<=>(wise(X)<~>~wise(X))))&
(![X]:((~strong(X)|~generous(X))=>... | ~strong(paul) | [] | null | 0 |
Everyone who is both strong and old is either generous or funny. If john is both not brave and not creative then someone is either rich or quiet and vice versa. Everyone who is both not rich and not calm is both not kind and patient and vice versa. Everyone who is both patient and curious is both not rich and not humbl... | John is not happy. | neutral | (![X]:((strong(X)&old(X))=>(generous(X)<~>funny(X))))&
(((~brave(john)&~creative(john)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:((~rich(X)&~calm(X))<=>(~kind(X)&patient(X))))&
(![X]:((patient(X)&curious(X))=>(~rich(X)&~humble(X))))&
((?[X]:(~funny(X)))=>(?[X]:((creative(X)&brave(X)))))&
(![X]:(~happy(X)=>(~humble(X)|c... | ~happy(john) | [] | null | 0 |
If someone is humble then someone is old or calm and vice versa. If susan is rich or humble then lucy is both funny and not strong and vice versa. Everyone who is not tall is either not humble or kind. Everyone who is both creative and not rich is either creative or funny and vice versa. Everyone who is quiet or happy ... | Alice is curious. | neutral | ((?[X]:(humble(X)))<=>(?[X]:((old(X)|calm(X)))))&
(((rich(susan)|humble(susan)))<=>((funny(lucy)&~strong(lucy))))&
(![X]:(~tall(X)=>(~humble(X)<~>kind(X))))&
(![X]:((creative(X)&~rich(X))<=>(creative(X)<~>funny(X))))&
(![X]:((quiet(X)|happy(X))=>(patient(X)&rich(X))))&
(![X]:(~generous(X)<=>(~tall(X)<~>~funny(X))))&
((... | curious(alice) | [] | null | 0 |
Everyone who is not strong or wise is either tall or not quiet.
If fred is patient or not wise then someone is both not happy and calm and vice versa.
If someone is both funny and brave then someone is both not calm and rich.
If someone is not wise or not funny then fred is brave or happy and vice versa.
If someone is ... | Susan is old. | neutral | (![X]:((~strong(X)|wise(X))=>(tall(X)<~>~quiet(X))))&
(((patient(fred)|~wise(fred)))<=>(?[X]:((~happy(X)&calm(X)))))&
((?[X]:((funny(X)&brave(X))))=>(?[X]:((~calm(X)&rich(X)))))&
((?[X]:((~wise(X)|~funny(X))))<=>((brave(fred)|happy(fred))))&
((?[X]:((calm(X)<~>wise(X))))=>(?[X]:((tall(X)&brave(X)))))&
(![X]:((~rich(X)|... | old(susan) | [] | null | 0 |
Everyone who is not kind is not strong and vice versa.
Everyone who is not patient or funny is both not funny and calm and vice versa.
If lucy is calm or quiet then mary is both not old and not quiet.
Everyone who is either humble or not patient is creative or rich.
If someone is not creative or tall then someone is fu... | Mary is quiet. | contradiction | (![X]:(~kind(X)<=>~strong(X)))&
(![X]:((~patient(X)|funny(X))<=>(~funny(X)&calm(X))))&
(((calm(lucy)|quiet(lucy)))=>((~old(mary)&~quiet(mary))))&
(![X]:((humble(X)<~>~patient(X))=>(creative(X)|rich(X))))&
((?[X]:((~creative(X)|tall(X))))<=>(?[X]:((funny(X)|happy(X)))))&
(![X]:((~old(X)<~>~brave(X))=>(~calm(X)&~tall(X))... | quiet(mary) | [
"p1",
"p2",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7314216427999443804978694
% SZS output start Proof for 7314216427999443804978694
2. ! [X0] : ((funny(X0) | ~patient(X0)) <=> (calm(X0) & ~funny(X0))) [input p1]
3. (quiet(lucy) | calm(lucy)) => (~quiet(mary) & ~old(mary)) [input p2]
14. (funny(susan) & happy(susan)) <=> ? [X0] : (patient(... | 0 |
If mary is either strong or creative then susan is funny or not calm and vice versa.
Everyone who is either not kind or not happy is not quiet.
Everyone who is not rich is both not strong and strong.
Everyone who is both not calm and creative is either not calm or not wise and vice versa.
If john is either strong or no... | Lucy is strong. | neutral | (((strong(mary)<~>creative(mary)))<=>((funny(susan)|~calm(susan))))&
(![X]:((~kind(X)<~>~happy(X))=>~quiet(X)))&
(![X]:(~rich(X)=>(~strong(X)&strong(X))))&
(![X]:((~calm(X)&creative(X))<=>(~calm(X)<~>~wise(X))))&
(((strong(john)<~>~generous(john)))<=>((generous(susan)<~>patient(susan))))&
((~kind(paul))=>(?[X]:((brave(... | strong(lucy) | [] | null | 0 |
Everyone who is happy is both not generous and not quiet and vice versa.
Everyone who is kind or rich is both not generous and not brave.
Everyone who is both rich and not brave is not tall or not strong.
If paul is not patient then someone is not kind or patient.
Everyone who is either not creative or curious is not k... | Lucy is not rich. | contradiction | (![X]:(happy(X)<=>(~generous(X)&~quiet(X))))&
(![X]:((kind(X)|rich(X))=>(~generous(X)&~brave(X))))&
(![X]:((rich(X)&~brave(X))=>(~tall(X)|~strong(X))))&
((~patient(paul))=>(?[X]:((~kind(X)|patient(X)))))&
(![X]:((~creative(X)<~>curious(X))=>(~kind(X)|~humble(X))))&
(![X]:((quiet(X)<~>~brave(X))<=>(~strong(X)|wise(X))))... | ~rich(lucy) | [
"p1",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1441284873180188071263529
% SZS output start Proof for 1441284873180188071263529
2. ! [X0] : ((rich(X0) | kind(X0)) => (~brave(X0) & ~generous(X0))) [input p1]
14. ! [X0] : ((rich(X0) & patient(X0)) <=> (~brave(X0) <~> brave(X0))) [input p13]
22. ~rich(lucy) [input hypothesis]
24. ! [X0] ... | 0 |
If fred is both happy and humble then someone is both not generous and brave.
Everyone who is either kind or generous is both not happy and wise.
Everyone who is funny or not funny is both not tall and strong and vice versa.
Everyone who is old or calm is either strong or patient.
If paul is either rich or humble then ... | Paul is not generous. | contradiction | (((happy(fred)&humble(fred)))=>(?[X]:((~generous(X)&brave(X)))))&
(![X]:((kind(X)<~>generous(X))=>(~happy(X)&wise(X))))&
(![X]:((funny(X)|~funny(X))<=>(~tall(X)&strong(X))))&
(![X]:((old(X)|calm(X))=>(strong(X)<~>patient(X))))&
(((rich(paul)<~>humble(paul)))=>(?[X]:(brave(X))))&
(![X]:((creative(X)|rich(X))=>wise(X)))&... | ~generous(paul) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8980543045093347283308298
% SZS output start Proof for 8980543045093347283308298
17. kind(paul) & generous(paul) [input p16]
24. ~generous(paul) [input hypothesis]
139. generous(paul) [cnf transformation 17]
150. ~generous(paul) [cnf transformation 24]
286. $false [subsumption resolution ... | 0 |
Everyone who is either not funny or not patient is creative or calm and vice versa.
Everyone who is either funny or not patient is either not old or funny.
Everyone who is both not rich and kind is patient.
Everyone who is either not humble or quiet is not happy or brave.
Everyone who is either humble or old is patient... | Lucy is not old. | entailment | (![X]:((~funny(X)<~>~patient(X))<=>(creative(X)|calm(X))))&
(![X]:((funny(X)<~>~patient(X))=>(~old(X)<~>funny(X))))&
(![X]:((~rich(X)&kind(X))=>patient(X)))&
(![X]:((~humble(X)<~>quiet(X))=>(~happy(X)|brave(X))))&
(![X]:((humble(X)<~>old(X))<=>(patient(X)|wise(X))))&
(![X]:((strong(X)<~>~patient(X))<=>~calm(X)))&
(((st... | ~old(lucy) | [
"p1",
"p4",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2597461309119849578628240
% SZS output start Proof for 2597461309119849578628240
2. ! [X0] : ((funny(X0) <~> ~patient(X0)) => (~old(X0) <~> funny(X0))) [input p1]
5. ! [X0] : ((humble(X0) <~> old(X0)) <=> (wise(X0) | patient(X0))) [input p4]
12. ! [X0] : (~humble(X0) <=> (calm(X0) & humbl... | 0 |
If susan is either happy or not funny then someone is humble or creative.
If someone is not tall or not strong then someone is both not curious and happy.
Everyone who is either not patient or not old is both strong and not happy.
If john is not tall then someone is not creative or not humble and vice versa.
If lucy is... | Lucy is quiet. | neutral | (((happy(susan)<~>~funny(susan)))=>(?[X]:((humble(X)|creative(X)))))&
((?[X]:((~tall(X)|~strong(X))))=>(?[X]:((~curious(X)&happy(X)))))&
(![X]:((~patient(X)<~>~old(X))=>(strong(X)&~happy(X))))&
((~tall(john))<=>(?[X]:((~creative(X)|~humble(X)))))&
(((creative(lucy)<~>~tall(lucy)))<=>(?[X]:((~kind(X)&~happy(X)))))&
(![X... | quiet(lucy) | [] | null | 0 |
Everyone who is both not patient and curious is patient and vice versa. Everyone who is both tall and not calm is both not rich and not wise and vice versa. If someone is either not generous or not funny then paul is strong or generous. If someone is strong or funny then someone is both curious and brave. If mary is no... | Paul is humble. | entailment | (![X]:((~patient(X)&curious(X))<=>patient(X)))&
(![X]:((tall(X)&~calm(X))<=>(~rich(X)&~wise(X))))&
((?[X]:((~generous(X)<~>~funny(X))))=>((strong(paul)|generous(paul))))&
((?[X]:((strong(X)|funny(X))))=>(?[X]:((curious(X)&brave(X)))))&
((~kind(mary))=>((~happy(paul)<~>brave(paul))))&
((?[X]:((wise(X)<~>kind(X))))=>(cal... | humble(paul) | [
"p0",
"p3",
"p6",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2603438839185611235483019
% SZS output start Proof for 2603438839185611235483019
1. ! [X0] : ((curious(X0) & ~patient(X0)) <=> patient(X0)) [input p0]
4. ? [X0] : (funny(X0) | strong(X0)) => ? [X0] : (brave(X0) & curious(X0)) [input p3]
7. ! [X0] : (~humble(X0) => (~brave(X0) <~> humble(X... | 0 |
Everyone who is both quiet and humble is both brave and quiet.
Everyone who is either generous or not brave is both patient and strong and vice versa.
Everyone who is not brave is old.
If someone is both curious and humble then mary is strong or kind.
Everyone who is both patient and not quiet is either creative or not... | Susan is not wise. | neutral | (![X]:((quiet(X)&humble(X))=>(brave(X)&quiet(X))))&
(![X]:((generous(X)<~>~brave(X))<=>(patient(X)&strong(X))))&
(![X]:(~brave(X)=>old(X)))&
((?[X]:((curious(X)&humble(X))))=>((strong(mary)|kind(mary))))&
(![X]:((patient(X)&~quiet(X))<=>(creative(X)<~>~creative(X))))&
(![X]:((~curious(X)|rich(X))=>(tall(X)|~strong(X)))... | ~wise(susan) | [] | null | 0 |
If john is not calm or rich then susan is not curious or not creative.
If alice is both tall and creative then someone is generous or old and vice versa.
Everyone who is wise or not wise is calm or not funny.
Everyone who is not calm or patient is tall.
Everyone who is both tall and not creative is both not patient and... | Alice is not rich. | contradiction | (((~calm(john)|rich(john)))=>((~curious(susan)|~creative(susan))))&
(((tall(alice)&creative(alice)))<=>(?[X]:((generous(X)|old(X)))))&
(![X]:((wise(X)|~wise(X))=>(calm(X)|~funny(X))))&
(![X]:((~calm(X)|patient(X))=>tall(X)))&
(![X]:((tall(X)&~creative(X))<=>(~patient(X)&~old(X))))&
(((~patient(susan)|~curious(susan)))=... | ~rich(alice) | [
"p6",
"p10",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 7865288857737307743120675
% SZS output start Proof for 7865288857737307743120675
7. ! [X0] : ((~patient(X0) <~> brave(X0)) <=> (~calm(X0) & patient(X0))) [input p6]
11. ! [X0] : ((~patient(X0) | curious(X0)) => (~calm(X0) & ~brave(X0))) [input p10]
13. ! [X0] : ((~quiet(X0) & rich(X0)) <=... | 0 |
Everyone who is not rich or patient is both not generous and wise and vice versa. Everyone who is both not funny and not kind is not calm and vice versa. Everyone who is either brave or not kind is not tall or humble. If mary is not old then someone is not quiet and vice versa. Everyone who is calm is not generous or n... | Mary is not old. | neutral | (![X]:((~rich(X)|patient(X))<=>(~generous(X)&wise(X))))&
(![X]:((~funny(X)&~kind(X))<=>~calm(X)))&
(![X]:((brave(X)<~>~kind(X))=>(~tall(X)|humble(X))))&
((~old(mary))<=>(?[X]:(~quiet(X))))&
(![X]:(calm(X)<=>(~generous(X)|~curious(X))))&
(![X]:(~happy(X)<=>(~brave(X)|humble(X))))&
(![X]:((~creative(X)|funny(X))=>(tall(X... | ~old(mary) | [] | null | 0 |
If someone is calm or not rich then someone is both not strong and not creative and vice versa.
Everyone who is patient or generous is both not brave and not calm and vice versa.
Everyone who is both funny and not funny is not humble or calm.
If someone is brave then mary is either curious or old and vice versa.
If mar... | Susan is not strong. | neutral | ((?[X]:((calm(X)|~rich(X))))<=>(?[X]:((~strong(X)&~creative(X)))))&
(![X]:((patient(X)|generous(X))<=>(~brave(X)&~calm(X))))&
(![X]:((funny(X)&~funny(X))=>(~humble(X)|calm(X))))&
((?[X]:(brave(X)))<=>((curious(mary)<~>old(mary))))&
((quiet(mary))=>(happy(fred)))&
(((humble(john)<~>funny(john)))=>((brave(mary)&creative(... | ~strong(susan) | [] | null | 0 |
Everyone who is both not calm and brave is both not rich and not brave and vice versa.
If lucy is not quiet or rich then alice is not rich or not funny.
Everyone who is either not kind or not humble is not brave or creative and vice versa.
If susan is both not wise and calm then someone is either generous or humble and... | Lucy is curious. | entailment | (![X]:((~calm(X)&brave(X))<=>(~rich(X)&~brave(X))))&
(((~quiet(lucy)|rich(lucy)))=>((~rich(alice)|~funny(alice))))&
(![X]:((~kind(X)<~>~humble(X))<=>(~brave(X)|creative(X))))&
(((~wise(susan)&calm(susan)))<=>(?[X]:((generous(X)<~>humble(X)))))&
(![X]:(~calm(X)=>creative(X)))&
(![X]:(brave(X)=>(~brave(X)<~>funny(X))))&
... | curious(lucy) | [
"p2",
"p6",
"p8",
"p9",
"p12",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4284566396205418496222510
% SZS output start Proof for 4284566396205418496222510
3. ! [X0] : ((~kind(X0) <~> ~humble(X0)) <=> (creative(X0) | ~brave(X0))) [input p2]
7. ! [X0] : ((creative(X0) <~> curious(X0)) <=> ~humble(X0)) [input p6]
9. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> ~strong(X... | 0 |
If someone is calm or not funny then someone is either not rich or brave.
Everyone who is either not kind or not quiet is either quiet or kind.
If someone is not calm or calm then john is either not wise or funny.
Everyone who is both brave and happy is both not quiet and not curious and vice versa.
Everyone who is fun... | Lucy is tall. | entailment | ((?[X]:((calm(X)|~funny(X))))=>(?[X]:((~rich(X)<~>brave(X)))))&
(![X]:((~kind(X)<~>~quiet(X))=>(quiet(X)<~>kind(X))))&
((?[X]:((~calm(X)|calm(X))))=>((~wise(john)<~>funny(john))))&
(![X]:((brave(X)&happy(X))<=>(~quiet(X)&~curious(X))))&
(![X]:(funny(X)<=>(~kind(X)&~old(X))))&
(((strong(lucy)&~old(lucy)))<=>(?[X]:((funn... | tall(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 111690425094395861285299
% SZS output start Proof for 111690425094395861285299
13. ! [X0] : ((~tall(X0) <~> patient(X0)) <=> patient(X0)) [input p12]
21. ~tall(lucy) [input hypothesis]
57. ! [X0] : ((((~patient(X0) | tall(X0)) & (patient(X0) | ~tall(X0))) | ~patient(X0)) & (patient(X0) | ... | 0 |
Everyone who is not calm is not tall or calm and vice versa.
Everyone who is either not calm or happy is not funny or strong and vice versa.
Everyone who is either rich or calm is both tall and not calm.
If lucy is not funny or not humble then someone is not funny and vice versa.
Everyone who is both not strong and not... | Mary is not strong. | contradiction | (![X]:(~calm(X)<=>(~tall(X)|calm(X))))&
(![X]:((~calm(X)<~>happy(X))<=>(~funny(X)|strong(X))))&
(![X]:((rich(X)<~>calm(X))=>(tall(X)&~calm(X))))&
(((~funny(lucy)|~humble(lucy)))<=>(?[X]:(~funny(X))))&
(![X]:((~strong(X)&~calm(X))=>(~happy(X)&~old(X))))&
(![X]:(~old(X)<=>(wise(X)&~wise(X))))&
((?[X]:((tall(X)|~kind(X)))... | ~strong(mary) | [
"p0",
"p4",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 7001643836140848864116137
% SZS output start Proof for 7001643836140848864116137
1. ! [X0] : (~calm(X0) <=> (calm(X0) | ~tall(X0))) [input p0]
5. ! [X0] : ((~calm(X0) & ~strong(X0)) => (~old(X0) & ~happy(X0))) [input p4]
6. ! [X0] : (~old(X0) <=> (~wise(X0) & wise(X0))) [input p5]
25. ~st... | 0 |
Everyone who is either not quiet or old is both not quiet and quiet and vice versa.
Everyone who is not old is not kind.
Everyone who is either quiet or curious is both brave and not rich and vice versa.
Everyone who is quiet is tall or not calm.
Everyone who is either kind or tall is either not patient or quiet.
Every... | Mary is not happy. | neutral | (![X]:((~quiet(X)<~>old(X))<=>(~quiet(X)&quiet(X))))&
(![X]:(~old(X)=>~kind(X)))&
(![X]:((quiet(X)<~>curious(X))<=>(brave(X)&~rich(X))))&
(![X]:(quiet(X)=>(tall(X)|~calm(X))))&
(![X]:((kind(X)<~>tall(X))=>(~patient(X)<~>quiet(X))))&
(![X]:(creative(X)=>(~wise(X)|~patient(X))))&
((~tall(fred))=>(?[X]:((quiet(X)|wise(X))... | ~happy(mary) | [] | null | 0 |
Everyone who is old or not calm is not humble.
Everyone who is brave is both tall and not happy.
Everyone who is either not patient or calm is not generous or not rich.
Everyone who is both quiet and not old is not patient and vice versa.
If mary is both calm and not tall then someone is not rich.
Everyone who is eithe... | Mary is not generous. | contradiction | (![X]:((old(X)|~calm(X))=>~humble(X)))&
(![X]:(brave(X)=>(tall(X)&~happy(X))))&
(![X]:((~patient(X)<~>calm(X))=>(~generous(X)|~rich(X))))&
(![X]:((quiet(X)&~old(X))<=>~patient(X)))&
(((calm(mary)&~tall(mary)))=>(?[X]:(~rich(X))))&
(![X]:((~generous(X)<~>creative(X))<=>(strong(X)<~>~generous(X))))&
(![X]:((~strong(X)|~c... | ~generous(mary) | [
"p0",
"p3",
"p8",
"p9",
"p12",
"p13",
"p14",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 3588102144726971063787412
% SZS output start Proof for 3588102144726971063787412
1. ! [X0] : ((~calm(X0) | old(X0)) => ~humble(X0)) [input p0]
4. ! [X0] : ((~old(X0) & quiet(X0)) <=> ~patient(X0)) [input p3]
9. ! [X0] : ((rich(X0) <~> ~calm(X0)) <=> (~funny(X0) | strong(X0))) [input p8]
1... | 0 |
Everyone who is both not patient and happy is either not patient or old and vice versa.
Everyone who is both not patient and not happy is not generous and vice versa.
If mary is not tall then paul is not quiet and vice versa.
Everyone who is old or generous is not happy.
If someone is both kind and tall then mary is no... | Susan is humble. | entailment | (![X]:((~patient(X)&happy(X))<=>(~patient(X)<~>old(X))))&
(![X]:((~patient(X)&~happy(X))<=>~generous(X)))&
((~tall(mary))<=>(~quiet(paul)))&
(![X]:((old(X)|generous(X))=>~happy(X)))&
((?[X]:((kind(X)&tall(X))))<=>((~quiet(mary)|~generous(mary))))&
(![X]:((generous(X)<~>brave(X))=>tall(X)))&
(![X]:((kind(X)|~funny(X))=>... | humble(susan) | [
"p1",
"p3",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 1255806918013639407460693
% SZS output start Proof for 1255806918013639407460693
2. ! [X0] : ((~happy(X0) & ~patient(X0)) <=> ~generous(X0)) [input p1]
4. ! [X0] : ((generous(X0) | old(X0)) => ~happy(X0)) [input p3]
10. ! [X0] : ((~creative(X0) | ~generous(X0)) <=> (~humble(X0) <~> brave(... | 0 |
Everyone who is either not creative or wise is not creative or old and vice versa.
If someone is both not old and not happy then someone is rich or not wise.
Everyone who is both not curious and not generous is rich and vice versa.
Everyone who is rich or not curious is funny.
Everyone who is humble is both quiet and f... | Lucy is creative. | neutral | (![X]:((~creative(X)<~>wise(X))<=>(~creative(X)|old(X))))&
((?[X]:((~old(X)&~happy(X))))=>(?[X]:((rich(X)|~wise(X)))))&
(![X]:((~curious(X)&~generous(X))<=>rich(X)))&
(![X]:((rich(X)|~curious(X))=>funny(X)))&
(![X]:(humble(X)<=>(quiet(X)&funny(X))))&
(((curious(lucy)|patient(lucy)))<=>(?[X]:((~happy(X)|creative(X)))))&... | creative(lucy) | [] | null | 0 |
Everyone who is either funny or not brave is either curious or wise.
If mary is not quiet or not strong then mary is kind and vice versa.
Everyone who is not happy or not wise is both quiet and not wise.
If someone is happy or not strong then someone is brave and vice versa.
Everyone who is either not tall or kind is p... | Lucy is wise. | neutral | (![X]:((funny(X)<~>~brave(X))=>(curious(X)<~>wise(X))))&
(((~quiet(mary)|~strong(mary)))<=>(kind(mary)))&
(![X]:((~happy(X)|~wise(X))=>(quiet(X)&~wise(X))))&
((?[X]:((happy(X)|~strong(X))))<=>(?[X]:(brave(X))))&
(![X]:((~tall(X)<~>kind(X))<=>(patient(X)|~curious(X))))&
((?[X]:((~creative(X)&~funny(X))))<=>((calm(mary)&... | wise(lucy) | [] | null | 0 |
Everyone who is either tall or wise is both not quiet and not generous.
Everyone who is both not calm and not funny is both not funny and not old and vice versa.
Everyone who is not kind or not happy is both patient and not patient.
If john is brave or not generous then fred is both not generous and not funny and vice ... | Lucy is not brave. | entailment | (![X]:((tall(X)<~>wise(X))=>(~quiet(X)&~generous(X))))&
(![X]:((~calm(X)&~funny(X))<=>(~funny(X)&~old(X))))&
(![X]:((~kind(X)|~happy(X))=>(patient(X)&~patient(X))))&
(((brave(john)|~generous(john)))<=>((~generous(fred)&~funny(fred))))&
(![X]:((~old(X)&tall(X))<=>(brave(X)<~>~kind(X))))&
((?[X]:(quiet(X)))=>(?[X]:((humb... | ~brave(lucy) | [
"p1",
"p2",
"p4",
"p10",
"p14",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 293729096257163964431219
% SZS output start Proof for 293729096257163964431219
2. ! [X0] : ((~funny(X0) & ~calm(X0)) <=> (~old(X0) & ~funny(X0))) [input p1]
3. ! [X0] : ((~happy(X0) | ~kind(X0)) => (~patient(X0) & patient(X0))) [input p2]
5. ! [X0] : ((tall(X0) & ~old(X0)) <=> (brave(X0) ... | 0 |
If susan is either funny or happy then mary is funny and vice versa. Everyone who is both not rich and strong is both brave and kind and vice versa. If lucy is patient then fred is not creative or not quiet and vice versa. Everyone who is either not calm or creative is both not brave and strong and vice versa. Everyone... | John is humble. | contradiction | (((funny(susan)<~>happy(susan)))<=>(funny(mary)))&
(![X]:((~rich(X)&strong(X))<=>(brave(X)&kind(X))))&
((patient(lucy))<=>((~creative(fred)|~quiet(fred))))&
(![X]:((~calm(X)<~>creative(X))<=>(~brave(X)&strong(X))))&
(![X]:((~patient(X)&~humble(X))<=>(~brave(X)<~>~wise(X))))&
(((brave(john)&humble(john)))=>((~rich(susan... | humble(john) | [
"p1",
"p4",
"p8",
"p11",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5530168179528539493213010
% SZS output start Proof for 5530168179528539493213010
2. ! [X0] : ((strong(X0) & ~rich(X0)) <=> (kind(X0) & brave(X0))) [input p1]
5. ! [X0] : ((~humble(X0) & ~patient(X0)) <=> (~brave(X0) <~> ~wise(X0))) [input p4]
9. ! [X0] : ((~humble(X0) <~> wise(X0)) => ~ri... | 0 |
Everyone who is both not rich and not strong is both rich and not calm and vice versa.
If mary is either not rich or not brave then someone is either curious or humble.
Everyone who is both creative and quiet is both not brave and not funny and vice versa.
If alice is not patient or not humble then john is generous or ... | Mary is curious. | neutral | (![X]:((~rich(X)&~strong(X))<=>(rich(X)&~calm(X))))&
(((~rich(mary)<~>~brave(mary)))=>(?[X]:((curious(X)<~>humble(X)))))&
(![X]:((creative(X)&quiet(X))<=>(~brave(X)&~funny(X))))&
(((~patient(alice)|~humble(alice)))<=>((generous(john)|happy(john))))&
((kind(john))<=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:(~humble(X)<=>... | curious(mary) | [] | null | 0 |
If john is both not kind and tall then fred is calm or not wise.
If someone is either not calm or not funny then someone is both calm and not humble and vice versa.
Everyone who is not wise is strong or happy.
Everyone who is not tall or not creative is both not rich and strong and vice versa.
Everyone who is either no... | Lucy is not creative. | contradiction | (((~kind(john)&tall(john)))=>((calm(fred)|~wise(fred))))&
((?[X]:((~calm(X)<~>~funny(X))))<=>(?[X]:((calm(X)&~humble(X)))))&
(![X]:(~wise(X)=>(strong(X)|happy(X))))&
(![X]:((~tall(X)|~creative(X))<=>(~rich(X)&strong(X))))&
(![X]:((~old(X)<~>creative(X))<=>(~kind(X)&~curious(X))))&
(((~quiet(john)<~>~happy(john)))=>((~s... | ~creative(lucy) | [
"p7",
"p10",
"p12",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 11253966864708897848433
% SZS output start Proof for 11253966864708897848433
8. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X0))) [input p7]
11. ! [X0] : ((~rich(X0) & ~tall(X0)) <=> (happy(X0) <~> ~calm(X0))) [input p10]
13. (wise(lucy) | ~creative(lucy)) => (~rich(paul) | calm(paul)) [i... | 0 |
Everyone who is rich is either curious or not quiet and vice versa. If someone is both not strong and creative then someone is both patient and creative and vice versa. If mary is not tall then someone is generous or brave and vice versa. If john is humble then mary is either tall or not creative. If john is not creati... | Alice is not creative. | contradiction | (![X]:(rich(X)<=>(curious(X)<~>~quiet(X))))&
((?[X]:((~strong(X)&creative(X))))<=>(?[X]:((patient(X)&creative(X)))))&
((~tall(mary))<=>(?[X]:((generous(X)|brave(X)))))&
((humble(john))=>((tall(mary)<~>~creative(mary))))&
(((~creative(john)|curious(john)))=>(~wise(fred)))&
((?[X]:(quiet(X)))=>(~tall(john)))&
(![X]:((~qu... | ~creative(alice) | [
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3015587930848365330500056
% SZS output start Proof for 3015587930848365330500056
18. creative(alice) [input p17]
25. ~creative(alice) [input hypothesis]
112. creative(alice) [cnf transformation 18]
121. ~creative(alice) [cnf transformation 25]
251. $false [subsumption resolution 121,112]
... | 0 |
If someone is kind then alice is not curious or not funny.
Everyone who is either not patient or funny is both not rich and quiet and vice versa.
Everyone who is not rich or not strong is strong or rich and vice versa.
If someone is not tall or tall then mary is both not strong and creative and vice versa.
Everyone who... | Paul is not wise. | contradiction | ((?[X]:(kind(X)))=>((~curious(alice)|~funny(alice))))&
(![X]:((~patient(X)<~>funny(X))<=>(~rich(X)&quiet(X))))&
(![X]:((~rich(X)|~strong(X))<=>(strong(X)|rich(X))))&
((?[X]:((~tall(X)|tall(X))))<=>((~strong(mary)&creative(mary))))&
(![X]:((~old(X)<~>old(X))<=>(~calm(X)<~>~strong(X))))&
(((~kind(alice)&happy(alice)))=>(... | ~wise(paul) | [
"p3",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7814410795068621382785285
% SZS output start Proof for 7814410795068621382785285
4. ? [X0] : (tall(X0) | ~tall(X0)) <=> (creative(mary) & ~strong(mary)) [input p3]
14. strong(mary) <=> ? [X0] : (old(X0) <~> wise(X0)) [input p13]
19. old(paul) & curious(paul) [input p18]
25. ~wise(paul) [i... | 0 |
If lucy is both humble and happy then someone is both not creative and strong and vice versa. Everyone who is not wise or not generous is both creative and curious. If someone is both old and not kind then someone is either not tall or old. Everyone who is brave is either not wise or brave and vice versa. Everyone who ... | Alice is not creative. | contradiction | (((humble(lucy)&happy(lucy)))<=>(?[X]:((~creative(X)&strong(X)))))&
(![X]:((~wise(X)|~generous(X))=>(creative(X)&curious(X))))&
((?[X]:((old(X)&~kind(X))))=>(?[X]:((~tall(X)<~>old(X)))))&
(![X]:(brave(X)<=>(~wise(X)<~>brave(X))))&
(![X]:((~patient(X)<~>brave(X))=>(~curious(X)|kind(X))))&
(![X]:(~tall(X)<=>(happy(X)|gen... | ~creative(alice) | [
"p1",
"p5",
"p12",
"p13",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5113779639782807084523300
% SZS output start Proof for 5113779639782807084523300
2. ! [X0] : ((~generous(X0) | ~wise(X0)) => (curious(X0) & creative(X0))) [input p1]
6. ! [X0] : (~tall(X0) <=> (generous(X0) | happy(X0))) [input p5]
13. ? [X0] : brave(X0) => (brave(fred) <~> calm(fred)) [i... | 0 |
If someone is not old then someone is calm or not wise and vice versa. If someone is either rich or happy then someone is strong and vice versa. Everyone who is both patient and not generous is strong or not wise and vice versa. Everyone who is either not curious or not tall is either not rich or not kind and vice vers... | Alice is strong. | neutral | ((?[X]:(~old(X)))<=>(?[X]:((calm(X)|~wise(X)))))&
((?[X]:((rich(X)<~>happy(X))))<=>(?[X]:(strong(X))))&
(![X]:((patient(X)&~generous(X))<=>(strong(X)|~wise(X))))&
(![X]:((~curious(X)<~>~tall(X))<=>(~rich(X)<~>~kind(X))))&
((?[X]:((old(X)|patient(X))))<=>((~wise(john)|~creative(john))))&
(![X]:((humble(X)<~>kind(X))<=>(... | strong(alice) | [] | null | 0 |
If someone is calm then someone is both not funny and curious.
Everyone who is quiet or not creative is not kind or calm.
Everyone who is not old is both generous and calm.
If someone is not curious or not humble then paul is either patient or not quiet.
Everyone who is both not humble and not generous is either not ri... | Paul is not brave. | neutral | ((?[X]:(calm(X)))=>(?[X]:((~funny(X)&curious(X)))))&
(![X]:((quiet(X)|~creative(X))=>(~kind(X)|calm(X))))&
(![X]:(~old(X)=>(generous(X)&calm(X))))&
((?[X]:((~curious(X)|~humble(X))))=>((patient(paul)<~>~quiet(paul))))&
(![X]:((~humble(X)&~generous(X))<=>(~rich(X)<~>~old(X))))&
((?[X]:((~quiet(X)&~brave(X))))<=>(?[X]:((... | ~brave(paul) | [] | null | 0 |
If someone is not funny or not tall then john is both calm and not happy and vice versa.
If someone is both humble and not wise then lucy is both rich and not calm.
Everyone who is both not tall and happy is not quiet and vice versa.
If susan is both not old and creative then john is humble or not old and vice versa.
E... | John is not creative. | entailment | ((?[X]:((~funny(X)|~tall(X))))<=>((calm(john)&~happy(john))))&
((?[X]:((humble(X)&~wise(X))))=>((rich(lucy)&~calm(lucy))))&
(![X]:((~tall(X)&happy(X))<=>~quiet(X)))&
(((~old(susan)&creative(susan)))<=>((humble(john)|~old(john))))&
(![X]:((curious(X)<~>wise(X))=>(wise(X)|~patient(X))))&
(![X]:((~creative(X)|~humble(X))=... | ~creative(john) | [
"p0",
"p2",
"p7",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5081684259174769575102126
% SZS output start Proof for 5081684259174769575102126
1. ? [X0] : (~tall(X0) | ~funny(X0)) <=> (~happy(john) & calm(john)) [input p0]
3. ! [X0] : ((happy(X0) & ~tall(X0)) <=> ~quiet(X0)) [input p2]
8. ! [X0] : (tall(X0) <=> (~calm(X0) <~> quiet(X0))) [input p7]
... | 0 |
If fred is either humble or not tall then someone is not kind or not wise.
Everyone who is brave is both rich and not curious and vice versa.
Everyone who is both not calm and not quiet is not brave and vice versa.
Everyone who is funny or creative is happy and vice versa.
If susan is both brave and not wise then someo... | Mary is quiet. | neutral | (((humble(fred)<~>~tall(fred)))=>(?[X]:((~kind(X)|~wise(X)))))&
(![X]:(brave(X)<=>(rich(X)&~curious(X))))&
(![X]:((~calm(X)&~quiet(X))<=>~brave(X)))&
(![X]:((funny(X)|creative(X))<=>happy(X)))&
(((brave(susan)&~wise(susan)))<=>(?[X]:(~kind(X))))&
((?[X]:(old(X)))=>((rich(susan)|~quiet(susan))))&
(((tall(mary)&~kind(mar... | quiet(mary) | [] | null | 0 |
If susan is both not creative and not funny then fred is both patient and funny. If someone is not kind then susan is not tall. Everyone who is both not wise and happy is both not old and curious. If someone is both not wise and old then lucy is both not strong and not rich and vice versa. Everyone who is not happy or ... | John is not funny. | contradiction | (((~creative(susan)&~funny(susan)))=>((patient(fred)&funny(fred))))&
((?[X]:(~kind(X)))=>(~tall(susan)))&
(![X]:((~wise(X)&happy(X))=>(~old(X)&curious(X))))&
((?[X]:((~wise(X)&old(X))))<=>((~strong(lucy)&~rich(lucy))))&
(![X]:((~happy(X)|creative(X))=>(~tall(X)&funny(X))))&
(![X]:((~old(X)|~humble(X))=>(kind(X)&~curiou... | ~funny(john) | [
"p2",
"p3",
"p4",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3280687155996500981779050
% SZS output start Proof for 3280687155996500981779050
3. ! [X0] : ((happy(X0) & ~wise(X0)) => (curious(X0) & ~old(X0))) [input p2]
4. ? [X0] : (old(X0) & ~wise(X0)) <=> (~rich(lucy) & ~strong(lucy)) [input p3]
5. ! [X0] : ((creative(X0) | ~happy(X0)) => (funny(X... | 0 |
Everyone who is either quiet or not tall is either not quiet or not funny and vice versa.
If lucy is not patient then someone is both not patient and creative and vice versa.
Everyone who is kind or strong is quiet.
If someone is both not funny and not humble then mary is not kind and vice versa.
Everyone who is funny ... | Fred is not funny. | contradiction | (![X]:((quiet(X)<~>~tall(X))<=>(~quiet(X)<~>~funny(X))))&
((~patient(lucy))<=>(?[X]:((~patient(X)&creative(X)))))&
(![X]:((kind(X)|strong(X))=>quiet(X)))&
((?[X]:((~funny(X)&~humble(X))))<=>(~kind(mary)))&
(![X]:(funny(X)<=>(~funny(X)|wise(X))))&
(![X]:((~strong(X)|patient(X))<=>(~funny(X)|brave(X))))&
((~happy(paul))<... | ~funny(fred) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 1847352296730514198582516
% SZS output start Proof for 1847352296730514198582516
5. ! [X0] : (funny(X0) <=> (wise(X0) | ~funny(X0))) [input p4]
23. ~funny(fred) [input hypothesis]
43. ! [X0] : ((funny(X0) | (~wise(X0) & funny(X0))) & ((wise(X0) | ~funny(X0)) | ~funny(X0))) [nnf transforma... | 0 |
Everyone who is not wise or calm is tall or not brave. If someone is both not tall and rich then john is either not kind or not creative. Everyone who is not strong or quiet is not brave and vice versa. Everyone who is not quiet or not humble is kind or creative. Everyone who is both not humble and strong is curious an... | Susan is brave. | contradiction | (![X]:((~wise(X)|calm(X))=>(tall(X)|~brave(X))))&
((?[X]:((~tall(X)&rich(X))))=>((~kind(john)<~>~creative(john))))&
(![X]:((~strong(X)|quiet(X))<=>~brave(X)))&
(![X]:((~quiet(X)|~humble(X))=>(kind(X)|creative(X))))&
(![X]:((~humble(X)&strong(X))<=>curious(X)))&
(![X]:(brave(X)<=>(creative(X)&~strong(X))))&
(![X]:((happ... | brave(susan) | [
"p2",
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 1419479333343502163324277
% SZS output start Proof for 1419479333343502163324277
3. ! [X0] : ((quiet(X0) | ~strong(X0)) <=> ~brave(X0)) [input p2]
6. ! [X0] : (brave(X0) <=> (~strong(X0) & creative(X0))) [input p5]
25. brave(susan) [input hypothesis]
40. ! [X0] : (((quiet(X0) | ~strong(X0... | 0 |
Everyone who is both rich and creative is both old and curious and vice versa.
Everyone who is not happy is not wise and vice versa.
Everyone who is either patient or humble is both not brave and not strong and vice versa.
Everyone who is wise or kind is either not kind or not curious and vice versa.
If someone is both... | Susan is brave. | neutral | (![X]:((rich(X)&creative(X))<=>(old(X)&curious(X))))&
(![X]:(~happy(X)<=>~wise(X)))&
(![X]:((patient(X)<~>humble(X))<=>(~brave(X)&~strong(X))))&
(![X]:((wise(X)|kind(X))<=>(~kind(X)<~>~curious(X))))&
((?[X]:((~quiet(X)&funny(X))))<=>(?[X]:((~old(X)&old(X)))))&
(![X]:(~strong(X)=>(quiet(X)&~generous(X))))&
(![X]:(strong... | brave(susan) | [] | null | 0 |
If lucy is either kind or creative then someone is either not brave or not strong.
Everyone who is not curious is either not calm or happy and vice versa.
If mary is not rich then lucy is calm or not brave and vice versa.
Everyone who is curious or not patient is either not tall or quiet and vice versa.
If someone is b... | Susan is not old. | neutral | (((kind(lucy)<~>creative(lucy)))=>(?[X]:((~brave(X)<~>~strong(X)))))&
(![X]:(~curious(X)<=>(~calm(X)<~>happy(X))))&
((~rich(mary))<=>((calm(lucy)|~brave(lucy))))&
(![X]:((curious(X)|~patient(X))<=>(~tall(X)<~>quiet(X))))&
((?[X]:((~tall(X)&~curious(X))))=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:(brave(X)=>(rich(X)<~>... | ~old(susan) | [] | null | 0 |
If someone is curious then someone is not brave or happy and vice versa.
If susan is not kind then susan is not generous or patient and vice versa.
Everyone who is not brave is either rich or not old and vice versa.
Everyone who is wise or brave is generous or strong and vice versa.
Everyone who is patient or not quiet... | Paul is creative. | neutral | ((?[X]:(curious(X)))<=>(?[X]:((~brave(X)|happy(X)))))&
((~kind(susan))<=>((~generous(susan)|patient(susan))))&
(![X]:(~brave(X)<=>(rich(X)<~>~old(X))))&
(![X]:((wise(X)|brave(X))<=>(generous(X)|strong(X))))&
(![X]:((patient(X)|~quiet(X))<=>(~generous(X)&~curious(X))))&
(![X]:((~humble(X)|~funny(X))<=>(~curious(X)&~crea... | creative(paul) | [] | null | 0 |
Everyone who is generous or humble is either not strong or not old.
If someone is funny then susan is both not happy and not strong.
Everyone who is quiet or not humble is not quiet.
If alice is not brave or not patient then someone is not curious and vice versa.
If someone is not kind then someone is quiet and vice ve... | Mary is wise. | neutral | (![X]:((generous(X)|humble(X))=>(~strong(X)<~>~old(X))))&
((?[X]:(funny(X)))=>((~happy(susan)&~strong(susan))))&
(![X]:((quiet(X)|~humble(X))=>~quiet(X)))&
(((~brave(alice)|~patient(alice)))<=>(?[X]:(~curious(X))))&
((?[X]:(~kind(X)))<=>(?[X]:(quiet(X))))&
(((~funny(paul)&~wise(paul)))<=>((~old(mary)&kind(mary))))&
((?... | wise(mary) | [] | null | 0 |
Everyone who is not old is generous.
Everyone who is not kind or quiet is patient or strong.
Everyone who is brave is either not creative or patient and vice versa.
If fred is funny then mary is wise or not humble and vice versa.
Everyone who is not happy or patient is not generous.
If fred is either curious or not gen... | Mary is not curious. | neutral | (![X]:(~old(X)=>generous(X)))&
(![X]:((~kind(X)|quiet(X))=>(patient(X)|strong(X))))&
(![X]:(brave(X)<=>(~creative(X)<~>patient(X))))&
((funny(fred))<=>((wise(mary)|~humble(mary))))&
(![X]:((~happy(X)|patient(X))=>~generous(X)))&
(((curious(fred)<~>~generous(fred)))=>(?[X]:((~old(X)&~quiet(X)))))&
((?[X]:((~curious(X)|r... | ~curious(mary) | [] | null | 0 |
Everyone who is not funny is both not patient and happy and vice versa.
If someone is not brave or curious then someone is not curious or not happy and vice versa.
If mary is either not old or humble then someone is either quiet or old.
Everyone who is kind or not patient is not patient or not generous and vice versa.
... | Mary is not quiet. | neutral | (![X]:(~funny(X)<=>(~patient(X)&happy(X))))&
((?[X]:((~brave(X)|curious(X))))<=>(?[X]:((~curious(X)|~happy(X)))))&
(((~old(mary)<~>humble(mary)))=>(?[X]:((quiet(X)<~>old(X)))))&
(![X]:((kind(X)|~patient(X))<=>(~patient(X)|~generous(X))))&
(((happy(fred)&~generous(fred)))<=>((curious(alice)&kind(alice))))&
(![X]:((~happ... | ~quiet(mary) | [] | null | 0 |
Everyone who is humble or not wise is either not strong or quiet and vice versa. Everyone who is either brave or creative is either strong or happy and vice versa. If john is either not quiet or strong then susan is brave or rich and vice versa. Everyone who is both not calm and not rich is curious and vice versa. If j... | John is kind. | entailment | (![X]:((humble(X)|~wise(X))<=>(~strong(X)<~>quiet(X))))&
(![X]:((brave(X)<~>creative(X))<=>(strong(X)<~>happy(X))))&
(((~quiet(john)<~>strong(john)))<=>((brave(susan)|rich(susan))))&
(![X]:((~calm(X)&~rich(X))<=>curious(X)))&
(((wise(john)|~humble(john)))=>((humble(mary)<~>~funny(mary))))&
((?[X]:((~generous(X)|funny(X... | kind(john) | [
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 6471310990002598416977950
% SZS output start Proof for 6471310990002598416977950
21. kind(john) & ~quiet(john) [input p20]
24. ~kind(john) [input hypothesis]
142. kind(john) [cnf transformation 21]
146. ~kind(john) [cnf transformation 24]
323. $false [subsumption resolution 146,142]
% SZS... | 0 |
Everyone who is both not tall and patient is humble or curious. If susan is both not curious and not calm then susan is both not strong and not creative and vice versa. Everyone who is wise is not tall. Everyone who is both calm and not kind is either funny or humble and vice versa. If mary is not patient then someone ... | Mary is happy. | neutral | (![X]:((~tall(X)&patient(X))=>(humble(X)|curious(X))))&
(((~curious(susan)&~calm(susan)))<=>((~strong(susan)&~creative(susan))))&
(![X]:(wise(X)=>~tall(X)))&
(![X]:((calm(X)&~kind(X))<=>(funny(X)<~>humble(X))))&
((~patient(mary))=>(?[X]:((~strong(X)&~rich(X)))))&
((?[X]:((creative(X)&~humble(X))))<=>(?[X]:(~funny(X))))... | happy(mary) | [] | null | 0 |
If mary is either old or tall then someone is not brave.
Everyone who is happy is not patient and vice versa.
Everyone who is happy or not old is not curious.
Everyone who is both brave and happy is both rich and not funny and vice versa.
If someone is both not patient and not rich then someone is generous.
Everyone wh... | Mary is happy. | contradiction | (((old(mary)<~>tall(mary)))=>(?[X]:(~brave(X))))&
(![X]:(happy(X)<=>~patient(X)))&
(![X]:((happy(X)|~old(X))=>~curious(X)))&
(![X]:((brave(X)&happy(X))<=>(rich(X)&~funny(X))))&
((?[X]:((~patient(X)&~rich(X))))=>(?[X]:(generous(X))))&
(![X]:(~kind(X)<=>funny(X)))&
(![X]:(humble(X)<=>(old(X)<~>~brave(X))))&
((?[X]:((~hum... | happy(mary) | [
"p2",
"p3",
"p6",
"p7",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8932674930970380473631512
% SZS output start Proof for 8932674930970380473631512
3. ! [X0] : ((~old(X0) | happy(X0)) => ~curious(X0)) [input p2]
4. ! [X0] : ((happy(X0) & brave(X0)) <=> (~funny(X0) & rich(X0))) [input p3]
7. ! [X0] : (humble(X0) <=> (old(X0) <~> ~brave(X0))) [input p6]
8.... | 0 |
If someone is calm then someone is creative or not happy and vice versa. If someone is not rich or generous then fred is either not humble or not strong and vice versa. Everyone who is calm or not patient is not quiet. If mary is kind then someone is creative and vice versa. If paul is tall then susan is either calm or... | Paul is wise. | neutral | ((?[X]:(calm(X)))<=>(?[X]:((creative(X)|~happy(X)))))&
((?[X]:((~rich(X)|generous(X))))<=>((~humble(fred)<~>~strong(fred))))&
(![X]:((calm(X)|~patient(X))=>~quiet(X)))&
((kind(mary))<=>(?[X]:(creative(X))))&
((tall(paul))<=>((calm(susan)<~>quiet(susan))))&
(![X]:(humble(X)<=>~strong(X)))&
((~kind(john))=>((~wise(susan)... | wise(paul) | [] | null | 0 |
Everyone who is either humble or old is creative or not tall.
Everyone who is either not calm or not happy is creative.
Everyone who is either strong or not funny is not strong.
Everyone who is both calm and not calm is both not funny and creative and vice versa.
Everyone who is not old or not calm is old or tall and v... | Alice is not humble. | entailment | (![X]:((humble(X)<~>old(X))=>(creative(X)|~tall(X))))&
(![X]:((~calm(X)<~>~happy(X))=>creative(X)))&
(![X]:((strong(X)<~>~funny(X))=>~strong(X)))&
(![X]:((calm(X)&~calm(X))<=>(~funny(X)&creative(X))))&
(![X]:((~old(X)|~calm(X))<=>(old(X)|tall(X))))&
((?[X]:((old(X)|curious(X))))<=>(?[X]:(tall(X))))&
(((patient(mary)&~k... | ~humble(alice) | [
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 62484849359174164327906
% SZS output start Proof for 62484849359174164327906
11. ! [X0] : ((~humble(X0) & humble(X0)) <=> (~strong(X0) | humble(X0))) [input p10]
24. humble(alice) [input hypothesis]
60. ! [X0] : (((~humble(X0) & humble(X0)) | (strong(X0) & ~humble(X0))) & ((~strong(X0) | ... | 0 |
Everyone who is both not wise and not brave is either wise or not humble and vice versa.
If someone is either wise or not tall then someone is calm and vice versa.
Everyone who is both not calm and not wise is not generous and vice versa.
If fred is both not strong and not tall then someone is both not patient and not ... | Fred is generous. | entailment | (![X]:((~wise(X)&~brave(X))<=>(wise(X)<~>~humble(X))))&
((?[X]:((wise(X)<~>~tall(X))))<=>(?[X]:(calm(X))))&
(![X]:((~calm(X)&~wise(X))<=>~generous(X)))&
(((~strong(fred)&~tall(fred)))<=>(?[X]:((~patient(X)&~quiet(X)))))&
(![X]:((humble(X)|kind(X))<=>(tall(X)|~tall(X))))&
(![X]:((~tall(X)&happy(X))=>(~calm(X)&generous(X... | generous(fred) | [
"p2",
"p12",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 8971267774673125183984205
% SZS output start Proof for 8971267774673125183984205
3. ! [X0] : ((~wise(X0) & ~calm(X0)) <=> ~generous(X0)) [input p2]
13. ! [X0] : ((~happy(X0) & ~rich(X0)) <=> ~calm(X0)) [input p12]
18. ~curious(fred) & rich(fred) [input p17]
25. ~generous(fred) [input hypo... | 0 |
Everyone who is both patient and not funny is not rich or rich and vice versa.
Everyone who is both creative and rich is tall and vice versa.
Everyone who is curious or brave is generous.
Everyone who is not generous is either not quiet or rich.
Everyone who is not happy or not quiet is both wise and not curious.
Every... | Paul is humble. | contradiction | (![X]:((patient(X)&~funny(X))<=>(~rich(X)|rich(X))))&
(![X]:((creative(X)&rich(X))<=>tall(X)))&
(![X]:((curious(X)|brave(X))=>generous(X)))&
(![X]:(~generous(X)=>(~quiet(X)<~>rich(X))))&
(![X]:((~happy(X)|~quiet(X))=>(wise(X)&~curious(X))))&
(![X]:((~patient(X)&~funny(X))<=>(~curious(X)&generous(X))))&
((~humble(paul))... | humble(paul) | [
"p0",
"p3",
"p4",
"p5",
"p6",
"p9",
"p10",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4281292038037907444545919
% SZS output start Proof for 4281292038037907444545919
1. ! [X0] : ((~funny(X0) & patient(X0)) <=> (rich(X0) | ~rich(X0))) [input p0]
4. ! [X0] : (~generous(X0) => (~quiet(X0) <~> rich(X0))) [input p3]
5. ! [X0] : ((~quiet(X0) | ~happy(X0)) => (~curious(X0) & wis... | 0 |
Everyone who is not tall or not kind is not old and vice versa. Everyone who is both brave and patient is wise and vice versa. Everyone who is both not creative and not brave is kind or not humble and vice versa. If susan is either not humble or not quiet then john is both brave and kind and vice versa. Everyone who is... | John is not wise. | neutral | (![X]:((~tall(X)|~kind(X))<=>~old(X)))&
(![X]:((brave(X)&patient(X))<=>wise(X)))&
(![X]:((~creative(X)&~brave(X))<=>(kind(X)|~humble(X))))&
(((~humble(susan)<~>~quiet(susan)))<=>((brave(john)&kind(john))))&
(![X]:((happy(X)<~>~strong(X))<=>(~happy(X)|patient(X))))&
((~funny(alice))<=>((~happy(paul)&~wise(paul))))&
(![X... | ~wise(john) | [] | null | 0 |
Everyone who is curious or not old is humble and vice versa. If fred is either not calm or brave then someone is patient or not patient and vice versa. If someone is either old or not old then someone is both generous and not brave. If someone is not humble or tall then someone is not brave. Everyone who is both not wi... | Fred is not patient. | contradiction | (![X]:((curious(X)|~old(X))<=>humble(X)))&
(((~calm(fred)<~>brave(fred)))<=>(?[X]:((patient(X)|~patient(X)))))&
((?[X]:((old(X)<~>~old(X))))=>(?[X]:((generous(X)&~brave(X)))))&
((?[X]:((~humble(X)|tall(X))))=>(?[X]:(~brave(X))))&
(![X]:((~wise(X)&~happy(X))=>(~rich(X)|strong(X))))&
((?[X]:(creative(X)))<=>(?[X]:((~pati... | ~patient(fred) | [
"p8",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 954034438104947863216476
% SZS output start Proof for 954034438104947863216476
9. ! [X0] : (~rich(X0) <=> (~brave(X0) | ~patient(X0))) [input p8]
22. rich(fred) & calm(fred) [input p21]
25. ~patient(fred) [input hypothesis]
61. ! [X0] : ((~rich(X0) | (brave(X0) & patient(X0))) & ((~brave(... | 0 |
If lucy is kind then someone is not happy.
If lucy is not rich then someone is both not brave and not generous and vice versa.
If susan is old then alice is old or humble and vice versa.
Everyone who is either tall or humble is not patient and vice versa.
Everyone who is not happy or wise is not funny.
Everyone who is ... | Susan is not patient. | contradiction | ((kind(lucy))=>(?[X]:(~happy(X))))&
((~rich(lucy))<=>(?[X]:((~brave(X)&~generous(X)))))&
((old(susan))<=>((old(alice)|humble(alice))))&
(![X]:((tall(X)<~>humble(X))<=>~patient(X)))&
(![X]:((~happy(X)|wise(X))=>~funny(X)))&
(![X]:((creative(X)<~>kind(X))=>quiet(X)))&
(((~happy(paul)|~tall(paul)))=>(?[X]:((~kind(X)|~wise... | ~patient(susan) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 5172682404920033562832829
% SZS output start Proof for 5172682404920033562832829
9. ! [X0] : (~rich(X0) <=> (rich(X0) <~> patient(X0))) [input p8]
23. ~patient(susan) [input hypothesis]
46. ! [X0] : ((~rich(X0) | ((rich(X0) | ~patient(X0)) & (patient(X0) | ~rich(X0)))) & (((~patient(X0) |... | 0 |
Everyone who is both not creative and not curious is not happy or creative.
Everyone who is either not brave or not calm is either calm or creative and vice versa.
Everyone who is humble or not curious is both quiet and not tall.
Everyone who is both not funny and not kind is both curious and not funny and vice versa.
... | John is not strong. | entailment | (![X]:((~creative(X)&~curious(X))=>(~happy(X)|creative(X))))&
(![X]:((~brave(X)<~>~calm(X))<=>(calm(X)<~>creative(X))))&
(![X]:((humble(X)|~curious(X))=>(quiet(X)&~tall(X))))&
(![X]:((~funny(X)&~kind(X))<=>(curious(X)&~funny(X))))&
((?[X]:(wise(X)))<=>((rich(john)|~rich(john))))&
(![X]:((~kind(X)|~patient(X))<=>(~wise(... | ~strong(john) | [
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5280673381336095199621300
% SZS output start Proof for 5280673381336095199621300
19. ~strong(john) & ~creative(john) [input p18]
25. strong(john) [input hypothesis]
117. ~strong(john) [cnf transformation 19]
124. strong(john) [cnf transformation 25]
239. $false [subsumption resolution 124... | 0 |
Everyone who is not curious is both not tall and quiet and vice versa.
Everyone who is not curious is either old or not brave.
Everyone who is happy or not rich is tall or not quiet and vice versa.
If paul is either not quiet or not happy then someone is not kind.
Everyone who is calm is not tall or humble and vice ver... | Fred is rich. | contradiction | (![X]:(~curious(X)<=>(~tall(X)&quiet(X))))&
(![X]:(~curious(X)=>(old(X)<~>~brave(X))))&
(![X]:((happy(X)|~rich(X))<=>(tall(X)|~quiet(X))))&
(((~quiet(paul)<~>~happy(paul)))=>(?[X]:(~kind(X))))&
(![X]:(calm(X)<=>(~tall(X)|humble(X))))&
(((strong(mary)|funny(mary)))<=>(?[X]:((~humble(X)<~>generous(X)))))&
(![X]:((humble(... | rich(fred) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 2307962473417751956303748
% SZS output start Proof for 2307962473417751956303748
8. ! [X0] : (rich(X0) <=> (~rich(X0) & ~brave(X0))) [input p7]
25. rich(fred) [input hypothesis]
50. ! [X0] : ((rich(X0) | (rich(X0) | brave(X0))) & ((~rich(X0) & ~brave(X0)) | ~rich(X0))) [nnf transformation... | 0 |
Everyone who is generous is either tall or happy. If john is either not tall or happy then alice is both not old and patient. If someone is either funny or old then paul is not strong or not creative. Everyone who is both old and not tall is wise. Everyone who is both brave and creative is either happy or not humble. E... | Susan is wise. | entailment | (![X]:(generous(X)=>(tall(X)<~>happy(X))))&
(((~tall(john)<~>happy(john)))=>((~old(alice)&patient(alice))))&
((?[X]:((funny(X)<~>old(X))))=>((~strong(paul)|~creative(paul))))&
(![X]:((old(X)&~tall(X))=>wise(X)))&
(![X]:((brave(X)&creative(X))=>(happy(X)<~>~humble(X))))&
(![X]:(~generous(X)<=>(generous(X)&patient(X))))&... | wise(susan) | [
"p5",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 1683667205256546524499546
% SZS output start Proof for 1683667205256546524499546
6. ! [X0] : (~generous(X0) <=> (patient(X0) & generous(X0))) [input p5]
11. ! [X0] : ((wise(X0) | ~generous(X0)) <=> (~patient(X0) | ~wise(X0))) [input p10]
24. ~wise(susan) [input hypothesis]
46. ! [X0] : ((... | 0 |
Everyone who is not curious or old is either not happy or generous and vice versa.
If someone is either strong or not calm then fred is not creative.
If paul is calm then mary is both not humble and not rich.
If susan is not creative then someone is both not creative and patient and vice versa.
Everyone who is not curi... | Lucy is generous. | contradiction | (![X]:((~curious(X)|old(X))<=>(~happy(X)<~>generous(X))))&
((?[X]:((strong(X)<~>~calm(X))))=>(~creative(fred)))&
((calm(paul))=>((~humble(mary)&~rich(mary))))&
((~creative(susan))<=>(?[X]:((~creative(X)&patient(X)))))&
(![X]:(~curious(X)=>(~wise(X)|~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(rich(lucy)))&
((?[X]:((g... | generous(lucy) | [
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7516494048368759792165530
% SZS output start Proof for 7516494048368759792165530
7. ? [X0] : (creative(X0) | generous(X0)) <=> ? [X0] : (~kind(X0) & ~tall(X0)) [input p6]
15. ! [X0] : ((~creative(X0) | ~tall(X0)) => (wise(X0) & humble(X0))) [input p14]
16. ! [X0] : (tall(X0) <=> (wise(X0)... | 0 |
If someone is not kind or not tall then alice is not creative and vice versa.
Everyone who is either creative or not patient is both not calm and calm and vice versa.
If alice is funny then someone is not kind.
Everyone who is either not quiet or not wise is happy or not calm.
If someone is calm then lucy is rich or cu... | Paul is creative. | neutral | ((?[X]:((~kind(X)|~tall(X))))<=>(~creative(alice)))&
(![X]:((creative(X)<~>~patient(X))<=>(~calm(X)&calm(X))))&
((funny(alice))=>(?[X]:(~kind(X))))&
(![X]:((~quiet(X)<~>~wise(X))=>(happy(X)|~calm(X))))&
((?[X]:(calm(X)))=>((rich(lucy)|curious(lucy))))&
(![X]:((~old(X)&strong(X))<=>(~quiet(X)<~>brave(X))))&
(![X]:(humbl... | creative(paul) | [] | null | 0 |
If someone is both brave and not creative then susan is tall or strong and vice versa.
If lucy is not creative or not wise then paul is either not brave or patient and vice versa.
Everyone who is both not kind and not old is both not happy and not kind and vice versa.
Everyone who is not old or old is not kind or not t... | Mary is rich. | neutral | ((?[X]:((brave(X)&~creative(X))))<=>((tall(susan)|strong(susan))))&
(((~creative(lucy)|~wise(lucy)))<=>((~brave(paul)<~>patient(paul))))&
(![X]:((~kind(X)&~old(X))<=>(~happy(X)&~kind(X))))&
(![X]:((~old(X)|old(X))<=>(~kind(X)|~tall(X))))&
((?[X]:((~humble(X)|wise(X))))=>((brave(john)<~>funny(john))))&
(![X]:((~kind(X)|... | rich(mary) | [] | null | 0 |
Everyone who is not funny or not strong is either not brave or not funny and vice versa. Everyone who is not creative is either not patient or patient. Everyone who is both not rich and not creative is either not quiet or not tall. Everyone who is humble or not curious is both not funny and funny and vice versa. Everyo... | Mary is calm. | contradiction | (![X]:((~funny(X)|~strong(X))<=>(~brave(X)<~>~funny(X))))&
(![X]:(~creative(X)=>(~patient(X)<~>patient(X))))&
(![X]:((~rich(X)&~creative(X))=>(~quiet(X)<~>~tall(X))))&
(![X]:((humble(X)|~curious(X))<=>(~funny(X)&funny(X))))&
(![X]:(humble(X)<=>old(X)))&
(![X]:((brave(X)<~>kind(X))<=>(~quiet(X)|~strong(X))))&
(((wise(ma... | calm(mary) | [
"p3",
"p4",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 3253354053540109225821090
% SZS output start Proof for 3253354053540109225821090
4. ! [X0] : ((~curious(X0) | humble(X0)) <=> (funny(X0) & ~funny(X0))) [input p3]
5. ! [X0] : (humble(X0) <=> old(X0)) [input p4]
9. ! [X0] : ((old(X0) <~> humble(X0)) <=> (~happy(X0) | ~kind(X0))) [input p8]... | 0 |
Everyone who is both not quiet and rich is both not patient and not old.
Everyone who is either old or quiet is either not patient or not funny and vice versa.
If mary is not wise then alice is generous.
Everyone who is rich or calm is not rich and vice versa.
Everyone who is either kind or old is either rich or patien... | John is creative. | contradiction | (![X]:((~quiet(X)&rich(X))=>(~patient(X)&~old(X))))&
(![X]:((old(X)<~>quiet(X))<=>(~patient(X)<~>~funny(X))))&
((~wise(mary))=>(generous(alice)))&
(![X]:((rich(X)|calm(X))<=>~rich(X)))&
(![X]:((kind(X)<~>old(X))<=>(rich(X)<~>patient(X))))&
(((~happy(alice)<~>patient(alice)))<=>(?[X]:((~curious(X)<~>tall(X)))))&
(![X]:(... | creative(john) | [
"p7",
"p8",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 363661349491544396822791
% SZS output start Proof for 363661349491544396822791
8. ! [X0] : ((~brave(X0) | ~tall(X0)) <=> (tall(X0) & ~patient(X0))) [input p7]
9. ! [X0] : ((~tall(X0) | brave(X0)) <=> (~quiet(X0) & ~brave(X0))) [input p8]
12. ? [X0] : (~creative(X0) <~> ~brave(X0)) => ? [X... | 0 |
If someone is both kind and patient then someone is either not creative or not brave.
If alice is generous or not patient then mary is both strong and not humble and vice versa.
Everyone who is old is not funny or brave and vice versa.
Everyone who is not quiet or not kind is both rich and not old and vice versa.
Every... | John is not old. | contradiction | ((?[X]:((kind(X)&patient(X))))=>(?[X]:((~creative(X)<~>~brave(X)))))&
(((generous(alice)|~patient(alice)))<=>((strong(mary)&~humble(mary))))&
(![X]:(old(X)<=>(~funny(X)|brave(X))))&
(![X]:((~quiet(X)|~kind(X))<=>(rich(X)&~old(X))))&
(![X]:((~happy(X)|~old(X))=>(patient(X)&quiet(X))))&
(((kind(lucy)<~>wise(lucy)))<=>(?[... | ~old(john) | [
"p2",
"p3",
"p4",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 478290786805934127327446
% SZS output start Proof for 478290786805934127327446
3. ! [X0] : (old(X0) <=> (brave(X0) | ~funny(X0))) [input p2]
4. ! [X0] : ((~kind(X0) | ~quiet(X0)) <=> (~old(X0) & rich(X0))) [input p3]
5. ! [X0] : ((~old(X0) | ~happy(X0)) => (quiet(X0) & patient(X0))) [inpu... | 0 |
If someone is both generous and quiet then susan is not curious or brave.
Everyone who is not kind is both tall and not strong and vice versa.
Everyone who is both not creative and brave is either calm or not tall.
Everyone who is not creative or not quiet is not kind or curious and vice versa.
If susan is brave or cur... | Susan is not curious. | neutral | ((?[X]:((generous(X)&quiet(X))))=>((~curious(susan)|brave(susan))))&
(![X]:(~kind(X)<=>(tall(X)&~strong(X))))&
(![X]:((~creative(X)&brave(X))=>(calm(X)<~>~tall(X))))&
(![X]:((~creative(X)|~quiet(X))<=>(~kind(X)|curious(X))))&
(((brave(susan)|curious(susan)))<=>(?[X]:(~kind(X))))&
(![X]:(patient(X)=>(~humble(X)&~curious... | ~curious(susan) | [] | null | 0 |
If lucy is both creative and humble then someone is both kind and not curious and vice versa.
If paul is strong or tall then someone is either calm or humble.
Everyone who is brave is either brave or kind and vice versa.
Everyone who is both tall and wise is tall.
Everyone who is either not humble or humble is rich or ... | Paul is not funny. | neutral | (((creative(lucy)&humble(lucy)))<=>(?[X]:((kind(X)&~curious(X)))))&
(((strong(paul)|tall(paul)))=>(?[X]:((calm(X)<~>humble(X)))))&
(![X]:(brave(X)<=>(brave(X)<~>kind(X))))&
(![X]:((tall(X)&wise(X))=>tall(X)))&
(![X]:((~humble(X)<~>humble(X))<=>(rich(X)|~rich(X))))&
(![X]:((~patient(X)&strong(X))<=>(~happy(X)&~strong(X)... | ~funny(paul) | [] | null | 0 |
Everyone who is rich or curious is not funny.
If paul is not tall or not rich then someone is either tall or kind and vice versa.
Everyone who is either not curious or humble is both funny and curious.
Everyone who is not generous or funny is both not creative and not quiet.
Everyone who is brave or curious is not humb... | Lucy is rich. | contradiction | (![X]:((rich(X)|curious(X))=>~funny(X)))&
(((~tall(paul)|~rich(paul)))<=>(?[X]:((tall(X)<~>kind(X)))))&
(![X]:((~curious(X)<~>humble(X))=>(funny(X)&curious(X))))&
(![X]:((~generous(X)|funny(X))=>(~creative(X)&~quiet(X))))&
(![X]:((brave(X)|curious(X))<=>(~humble(X)|~tall(X))))&
(![X]:(~patient(X)=>(old(X)|happy(X))))&
... | rich(lucy) | [
"p0",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7511660513485336795460724
% SZS output start Proof for 7511660513485336795460724
1. ! [X0] : ((curious(X0) | rich(X0)) => ~funny(X0)) [input p0]
10. ! [X0] : (~funny(X0) <=> (patient(X0) & ~wise(X0))) [input p9]
14. ! [X0] : ((wise(X0) & creative(X0)) <=> (strong(X0) | ~funny(X0))) [input... | 0 |
If mary is both rich and happy then someone is either not kind or not rich. 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 vi... | Lucy is curious. | neutral | (((rich(mary)&happy(mary)))=>(?[X]:((~kind(X)<~>~rich(X)))))&
((?[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)&~gene... | curious(lucy) | [] | null | 0 |
If paul is patient then someone is both happy and not old. Everyone who is either not curious or rich is not strong and vice versa. If someone is humble then someone is strong or not funny. Everyone who is both rich and kind is both not old and not brave and vice versa. If susan is either not strong or not creative the... | Lucy is tall. | entailment | ((patient(paul))=>(?[X]:((happy(X)&~old(X)))))&
(![X]:((~curious(X)<~>rich(X))<=>~strong(X)))&
((?[X]:(humble(X)))=>(?[X]:((strong(X)|~funny(X)))))&
(![X]:((rich(X)&kind(X))<=>(~old(X)&~brave(X))))&
(((~strong(susan)<~>~creative(susan)))<=>(?[X]:((~funny(X)&~generous(X)))))&
((?[X]:((rich(X)&~quiet(X))))<=>(?[X]:((curi... | tall(lucy) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2734310545830941957112631
% SZS output start Proof for 2734310545830941957112631
7. ! [X0] : ((~rich(X0) | ~tall(X0)) => (~happy(X0) & tall(X0))) [input p6]
24. ~tall(lucy) [input hypothesis]
29. ! [X0] : ((~happy(X0) & tall(X0)) | (rich(X0) & tall(X0))) [ennf transformation 7]
94. tall(X... | 0 |
Everyone who is not rich or wise is both calm and rich and vice versa.
Everyone who is not happy or quiet is both kind and not kind.
If someone is calm or creative then someone is both calm and happy and vice versa.
Everyone who is not happy is quiet and vice versa.
Everyone who is generous is not calm or quiet and vic... | Susan is happy. | entailment | (![X]:((~rich(X)|wise(X))<=>(calm(X)&rich(X))))&
(![X]:((~happy(X)|quiet(X))=>(kind(X)&~kind(X))))&
((?[X]:((calm(X)|creative(X))))<=>(?[X]:((calm(X)&happy(X)))))&
(![X]:(~happy(X)<=>quiet(X)))&
(![X]:(generous(X)<=>(~calm(X)|quiet(X))))&
((?[X]:((humble(X)|~humble(X))))<=>((tall(lucy)|~creative(lucy))))&
(![X]:((~funn... | happy(susan) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 5062617436027443533647902
% SZS output start Proof for 5062617436027443533647902
2. ! [X0] : ((quiet(X0) | ~happy(X0)) => (~kind(X0) & kind(X0))) [input p1]
25. ~happy(susan) [input hypothesis]
27. ! [X0] : ((~kind(X0) & kind(X0)) | (~quiet(X0) & happy(X0))) [ennf transformation 2]
76. ki... | 0 |
If someone is both not humble and kind then lucy is not curious. If susan is either happy or curious then someone is either not rich or brave and vice versa. If someone is not old then john is either not patient or not kind. Everyone who is both not patient and not old is not humble or not old. Everyone who is either n... | Susan is not wise. | entailment | ((?[X]:((~humble(X)&kind(X))))=>(~curious(lucy)))&
(((happy(susan)<~>curious(susan)))<=>(?[X]:((~rich(X)<~>brave(X)))))&
((?[X]:(~old(X)))=>((~patient(john)<~>~kind(john))))&
(![X]:((~patient(X)&~old(X))=>(~humble(X)|~old(X))))&
(![X]:((~strong(X)<~>~happy(X))<=>~funny(X)))&
(((~happy(mary)<~>~quiet(mary)))<=>((~old(su... | ~wise(susan) | [
"p6",
"p10",
"p12",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 225826738663740706171053
% SZS output start Proof for 225826738663740706171053
7. ! [X0] : ((~generous(X0) | old(X0)) <=> (~wise(X0) <~> ~creative(X0))) [input p6]
11. ! [X0] : ((wise(X0) | ~calm(X0)) => (~calm(X0) & ~old(X0))) [input p10]
13. ! [X0] : ((~funny(X0) & old(X0)) <=> (~calm(X... | 0 |
If someone is both generous and not wise then someone is both generous and not calm.
If someone is not rich or not brave then someone is curious.
Everyone who is brave is both humble and not old.
Everyone who is rich or not strong is both not generous and rich and vice versa.
If someone is either not brave or humble th... | Alice is funny. | neutral | ((?[X]:((generous(X)&~wise(X))))=>(?[X]:((generous(X)&~calm(X)))))&
((?[X]:((~rich(X)|~brave(X))))=>(?[X]:(curious(X))))&
(![X]:(brave(X)=>(humble(X)&~old(X))))&
(![X]:((rich(X)|~strong(X))<=>(~generous(X)&rich(X))))&
((?[X]:((~brave(X)<~>humble(X))))=>(?[X]:(~happy(X))))&
(![X]:((~creative(X)|generous(X))=>(~calm(X)&c... | funny(alice) | [] | null | 0 |
Everyone who is generous or brave is funny or not calm.
If someone is both not funny and strong then lucy is both not patient and kind.
If fred is either brave or generous then someone is happy and vice versa.
If susan is not wise then mary is not curious.
If fred is not tall or happy then fred is both not humble and n... | Lucy is not happy. | neutral | (![X]:((generous(X)|brave(X))=>(funny(X)|~calm(X))))&
((?[X]:((~funny(X)&strong(X))))=>((~patient(lucy)&kind(lucy))))&
(((brave(fred)<~>generous(fred)))<=>(?[X]:(happy(X))))&
((~wise(susan))=>(~curious(mary)))&
(((~tall(fred)|happy(fred)))<=>((~humble(fred)&~funny(fred))))&
(![X]:((~patient(X)|~old(X))<=>(~calm(X)|wise... | ~happy(lucy) | [] | null | 0 |
Everyone who is wise is tall or not brave and vice versa.
Everyone who is generous or tall is strong or kind and vice versa.
If someone is not funny or kind then someone is not rich.
If john is both not tall and not brave then john is not old and vice versa.
Everyone who is both not rich and not tall is not tall or cal... | Lucy is not wise. | contradiction | (![X]:(wise(X)<=>(tall(X)|~brave(X))))&
(![X]:((generous(X)|tall(X))<=>(strong(X)|kind(X))))&
((?[X]:((~funny(X)|kind(X))))=>(?[X]:(~rich(X))))&
(((~tall(john)&~brave(john)))<=>(~old(john)))&
(![X]:((~rich(X)&~tall(X))<=>(~tall(X)|calm(X))))&
((?[X]:(~tall(X)))<=>(?[X]:((curious(X)|~patient(X)))))&
(((funny(mary)<~>pat... | ~wise(lucy) | [
"p0",
"p1",
"p4",
"p7",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2938258689131557600854915
% SZS output start Proof for 2938258689131557600854915
1. ! [X0] : (wise(X0) <=> (~brave(X0) | tall(X0))) [input p0]
2. ! [X0] : ((tall(X0) | generous(X0)) <=> (kind(X0) | strong(X0))) [input p1]
5. ! [X0] : ((~tall(X0) & ~rich(X0)) <=> (calm(X0) | ~tall(X0))) [i... | 0 |
Everyone who is patient or not quiet is both tall and old.
If lucy is both funny and wise then someone is not generous or not tall and vice versa.
Everyone who is rich is both not curious and not brave and vice versa.
Everyone who is curious or calm is both humble and generous and vice versa.
Everyone who is old or not... | Fred is not curious. | contradiction | (![X]:((patient(X)|~quiet(X))=>(tall(X)&old(X))))&
(((funny(lucy)&wise(lucy)))<=>(?[X]:((~generous(X)|~tall(X)))))&
(![X]:(rich(X)<=>(~curious(X)&~brave(X))))&
(![X]:((curious(X)|calm(X))<=>(humble(X)&generous(X))))&
(![X]:((old(X)|~kind(X))=>(~strong(X)&~creative(X))))&
((?[X]:(~creative(X)))<=>(?[X]:(rich(X))))&
((?[... | ~curious(fred) | [
"p0",
"p2",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8568925200504149876924186
% SZS output start Proof for 8568925200504149876924186
1. ! [X0] : ((~quiet(X0) | patient(X0)) => (old(X0) & tall(X0))) [input p0]
3. ! [X0] : (rich(X0) <=> (~brave(X0) & ~curious(X0))) [input p2]
7. ? [X0] : (~humble(X0) & ~curious(X0)) <=> ? [X0] : (brave(X0) <... | 0 |
Everyone who is both strong and not curious is patient.
Everyone who is not funny is happy or brave and vice versa.
If someone is brave or rich then someone is tall or strong.
Everyone who is either tall or not generous is either happy or generous and vice versa.
If someone is both not humble and quiet then susan is ei... | Susan is not happy. | entailment | (![X]:((strong(X)&~curious(X))=>patient(X)))&
(![X]:(~funny(X)<=>(happy(X)|brave(X))))&
((?[X]:((brave(X)|rich(X))))=>(?[X]:((tall(X)|strong(X)))))&
(![X]:((tall(X)<~>~generous(X))<=>(happy(X)<~>generous(X))))&
((?[X]:((~humble(X)&quiet(X))))<=>((patient(susan)<~>~funny(susan))))&
(![X]:(patient(X)<=>(~funny(X)<~>curio... | ~happy(susan) | [
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 985540944136676626121941
% SZS output start Proof for 985540944136676626121941
9. ! [X0] : (kind(X0) <=> (~kind(X0) | ~generous(X0))) [input p8]
13. ! [X0] : (kind(X0) <=> ~happy(X0)) [input p12]
24. happy(susan) [input hypothesis]
50. ! [X0] : ((kind(X0) | (kind(X0) & generous(X0))) & ((... | 0 |
If alice is either not generous or not strong then someone is either tall or not quiet and vice versa.
If lucy is strong then fred is patient.
Everyone who is not calm is not tall and vice versa.
Everyone who is both curious and not generous is either curious or creative and vice versa.
Everyone who is both not humble ... | Paul is happy. | neutral | (((~generous(alice)<~>~strong(alice)))<=>(?[X]:((tall(X)<~>~quiet(X)))))&
((strong(lucy))=>(patient(fred)))&
(![X]:(~calm(X)<=>~tall(X)))&
(![X]:((curious(X)&~generous(X))<=>(curious(X)<~>creative(X))))&
(![X]:((~humble(X)&~tall(X))<=>tall(X)))&
(((humble(alice)<~>brave(alice)))=>((~old(susan)<~>~happy(susan))))&
(![X]... | happy(paul) | [] | null | 0 |
If someone is both humble and old then susan is either patient or brave and vice versa. Everyone who is both not tall and wise is quiet or not kind and vice versa. Everyone who is calm or not rich is patient or not rich and vice versa. If someone is either not creative or brave then alice is either not quiet or calm an... | Fred is not curious. | neutral | ((?[X]:((humble(X)&old(X))))<=>((patient(susan)<~>brave(susan))))&
(![X]:((~tall(X)&wise(X))<=>(quiet(X)|~kind(X))))&
(![X]:((calm(X)|~rich(X))<=>(patient(X)|~rich(X))))&
((?[X]:((~creative(X)<~>brave(X))))<=>((~quiet(alice)<~>calm(alice))))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:(... | ~curious(fred) | [] | null | 0 |
If someone is either not kind or not generous then lucy is either not quiet or wise and vice versa. If paul is old then someone is not humble and vice versa. Everyone who is either not wise or not quiet is calm and vice versa. If someone is both not calm and not wise then paul is either tall or not brave. If alice is r... | Lucy is not funny. | neutral | ((?[X]:((~kind(X)<~>~generous(X))))<=>((~quiet(lucy)<~>wise(lucy))))&
((old(paul))<=>(?[X]:(~humble(X))))&
(![X]:((~wise(X)<~>~quiet(X))<=>calm(X)))&
((?[X]:((~calm(X)&~wise(X))))=>((tall(paul)<~>~brave(paul))))&
((rich(alice))<=>(?[X]:((generous(X)&~happy(X)))))&
((kind(alice))<=>((creative(alice)|~kind(alice))))&
(![... | ~funny(lucy) | [] | null | 0 |
Everyone who is both funny and happy is either creative or rich.
If someone is either not brave or not rich then mary is quiet or not old and vice versa.
Everyone who is both not patient and quiet is not happy.
Everyone who is old or kind is old and vice versa.
If susan is either generous or not quiet then lucy is not ... | Mary is funny. | contradiction | (![X]:((funny(X)&happy(X))=>(creative(X)<~>rich(X))))&
((?[X]:((~brave(X)<~>~rich(X))))<=>((quiet(mary)|~old(mary))))&
(![X]:((~patient(X)&quiet(X))=>~happy(X)))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~crea... | funny(mary) | [
"p0",
"p6",
"p8",
"p9",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5276049890931559240854968
% SZS output start Proof for 5276049890931559240854968
1. ! [X0] : ((happy(X0) & funny(X0)) => (creative(X0) <~> rich(X0))) [input p0]
7. ! [X0] : (funny(X0) <=> (generous(X0) & ~creative(X0))) [input p6]
9. ! [X0] : ((~humble(X0) | ~happy(X0)) <=> rich(X0)) [inp... | 0 |
Everyone who is either not curious or generous is not humble or funny and vice versa.
Everyone who is generous is curious.
If someone is happy or not brave then someone is either not quiet or curious.
If someone is not humble or not wise then mary is both funny and not curious and vice versa.
Everyone who is either not... | Fred is not wise. | entailment | (![X]:((~curious(X)<~>generous(X))<=>(~humble(X)|funny(X))))&
(![X]:(generous(X)=>curious(X)))&
((?[X]:((happy(X)|~brave(X))))=>(?[X]:((~quiet(X)<~>curious(X)))))&
((?[X]:((~humble(X)|~wise(X))))<=>((funny(mary)&~curious(mary))))&
(![X]:((~rich(X)<~>funny(X))=>(happy(X)&~brave(X))))&
(![X]:(~kind(X)<=>(~humble(X)|~quie... | ~wise(fred) | [
"p4",
"p7",
"p13",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 1623265907541138634618749
% SZS output start Proof for 1623265907541138634618749
5. ! [X0] : ((~rich(X0) <~> funny(X0)) => (~brave(X0) & happy(X0))) [input p4]
8. ! [X0] : ((~happy(X0) & ~kind(X0)) <=> (~humble(X0) | humble(X0))) [input p7]
14. ! [X0] : ((~brave(X0) | brave(X0)) => (~wise... | 0 |
Everyone who is not funny is curious or rich and vice versa. If fred is rich then alice is not calm or quiet and vice versa. Everyone who is both not wise and quiet is old. If susan is funny or not humble then someone is either generous or tall and vice versa. If susan is not calm or generous then john is both not old ... | Alice is not curious. | contradiction | (![X]:(~funny(X)<=>(curious(X)|rich(X))))&
((rich(fred))<=>((~calm(alice)|quiet(alice))))&
(![X]:((~wise(X)&quiet(X))=>old(X)))&
(((funny(susan)|~humble(susan)))<=>(?[X]:((generous(X)<~>tall(X)))))&
(((~calm(susan)|generous(susan)))=>((~old(john)&tall(john))))&
(![X]:((happy(X)&kind(X))<=>~funny(X)))&
(![X]:((~funny(X)... | ~curious(alice) | [
"p0",
"p1",
"p5",
"p7",
"p8",
"p9",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2374979391647312531797470
% SZS output start Proof for 2374979391647312531797470
1. ! [X0] : (~funny(X0) <=> (rich(X0) | curious(X0))) [input p0]
2. rich(fred) <=> (quiet(alice) | ~calm(alice)) [input p1]
6. ! [X0] : ((kind(X0) & happy(X0)) <=> ~funny(X0)) [input p5]
8. ! [X0] : ((happy(X... | 0 |
If someone is kind then alice is not curious or quiet.
Everyone who is not rich or not strong is strong or rich and vice versa.
If someone is not tall or tall then mary is both not strong and creative and vice versa.
Everyone who is either not old or old is either not calm or not strong and vice versa.
If alice is both... | Fred is not strong. | entailment | ((?[X]:(kind(X)))=>((~curious(alice)|quiet(alice))))&
(![X]:((~rich(X)|~strong(X))<=>(strong(X)|rich(X))))&
((?[X]:((~tall(X)|tall(X))))<=>((~strong(mary)&creative(mary))))&
(![X]:((~old(X)<~>old(X))<=>(~calm(X)<~>~strong(X))))&
(((~kind(alice)&happy(alice)))=>(?[X]:((happy(X)&humble(X)))))&
((?[X]:(~tall(X)))<=>((~cur... | ~strong(fred) | [
"p1",
"p2",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 5241713752054393819574021
% SZS output start Proof for 5241713752054393819574021
2. ! [X0] : ((~strong(X0) | ~rich(X0)) <=> (rich(X0) | strong(X0))) [input p1]
3. ? [X0] : (tall(X0) | ~tall(X0)) <=> (creative(mary) & ~strong(mary)) [input p2]
11. ~rich(fred) <=> (~rich(mary) & old(mary)) ... | 0 |
If john is strong or not wise then john is either funny or not humble and vice versa.
Everyone who is not strong is both not kind and not brave and vice versa.
If fred is either old or not brave then someone is quiet and vice versa.
Everyone who is kind or calm is both patient and happy and vice versa.
If alice is happ... | John is not calm. | entailment | (((strong(john)|~wise(john)))<=>((funny(john)<~>~humble(john))))&
(![X]:(~strong(X)<=>(~kind(X)&~brave(X))))&
(((old(fred)<~>~brave(fred)))<=>(?[X]:(quiet(X))))&
(![X]:((kind(X)|calm(X))<=>(patient(X)&happy(X))))&
(((happy(alice)|brave(alice)))<=>(?[X]:(~kind(X))))&
(![X]:((~humble(X)&~tall(X))<=>(~wise(X)|funny(X))))&... | ~calm(john) | [
"p1",
"p3",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 8235640213198085371475893
% SZS output start Proof for 8235640213198085371475893
2. ! [X0] : (~strong(X0) <=> (~brave(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((calm(X0) | kind(X0)) <=> (happy(X0) & patient(X0))) [input p3]
9. ! [X0] : (~calm(X0) <=> (~wise(X0) | strong(X0))) [input p8]
1... | 0 |
Everyone who is either not tall or not wise is not humble or not brave and vice versa.
If mary is both not patient and not funny then paul is old.
If someone is funny then john is not brave or not generous and vice versa.
If someone is both not curious and patient then paul is either not generous or not patient.
If som... | Alice is strong. | neutral | (![X]:((~tall(X)<~>~wise(X))<=>(~humble(X)|~brave(X))))&
(((~patient(mary)&~funny(mary)))=>(old(paul)))&
((?[X]:(funny(X)))<=>((~brave(john)|~generous(john))))&
((?[X]:((~curious(X)&patient(X))))=>((~generous(paul)<~>~patient(paul))))&
((?[X]:((~strong(X)<~>humble(X))))=>(?[X]:((~creative(X)&kind(X)))))&
((?[X]:(~happy... | strong(alice) | [] | null | 0 |
Everyone who is both wise and not humble is both not patient and not funny and vice versa.
If someone is not funny then someone is both creative and not brave.
If someone is either funny or humble then someone is not old or tall.
If susan is either strong or not quiet then someone is either not humble or not brave.
If ... | Paul is tall. | neutral | (![X]:((wise(X)&~humble(X))<=>(~patient(X)&~funny(X))))&
((?[X]:(~funny(X)))=>(?[X]:((creative(X)&~brave(X)))))&
((?[X]:((funny(X)<~>humble(X))))=>(?[X]:((~old(X)|tall(X)))))&
(((strong(susan)<~>~quiet(susan)))=>(?[X]:((~humble(X)<~>~brave(X)))))&
((?[X]:((rich(X)<~>~creative(X))))=>(?[X]:((~brave(X)&creative(X)))))&
(... | tall(paul) | [] | 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 8454787591632867162393214
% SZS output start Proof for 8454787591632867162393214
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 |
Everyone who is both quiet and not humble is not curious or funny.
If someone is either strong or not creative then someone is both humble and kind and vice versa.
If someone is curious or not tall then someone is happy or not creative.
If paul is either not creative or quiet then paul is both not rich and quiet.
If so... | Fred is strong. | contradiction | (![X]:((quiet(X)&~humble(X))=>(~curious(X)|funny(X))))&
((?[X]:((strong(X)<~>~creative(X))))<=>(?[X]:((humble(X)&kind(X)))))&
((?[X]:((curious(X)|~tall(X))))=>(?[X]:((happy(X)|~creative(X)))))&
(((~creative(paul)<~>quiet(paul)))=>((~rich(paul)&quiet(paul))))&
((?[X]:((creative(X)<~>calm(X))))=>((~patient(fred)<~>~creat... | strong(fred) | [
"p1",
"p8",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 4173560800914914008596796
% SZS output start Proof for 4173560800914914008596796
2. ? [X0] : (strong(X0) <~> ~creative(X0)) <=> ? [X0] : (kind(X0) & humble(X0)) [input p1]
9. ! [X0] : ((happy(X0) | ~creative(X0)) <=> ~wise(X0)) [input p8]
14. (~happy(fred) & ~humble(fred)) <=> ? [X0] : (h... | 0 |
Everyone who is not curious is both not calm and kind. Everyone who is both not calm and calm is either not rich or not patient. Everyone who is both not quiet and not rich is both generous and curious. If someone is both kind and not old then someone is tall or creative. Everyone who is either creative or tall is eith... | Susan is kind. | entailment | (![X]:(~curious(X)=>(~calm(X)&kind(X))))&
(![X]:((~calm(X)&calm(X))=>(~rich(X)<~>~patient(X))))&
(![X]:((~quiet(X)&~rich(X))=>(generous(X)&curious(X))))&
((?[X]:((kind(X)&~old(X))))=>(?[X]:((tall(X)|creative(X)))))&
(![X]:((creative(X)<~>tall(X))=>(funny(X)<~>~happy(X))))&
(((~generous(lucy)&~creative(lucy)))<=>((~wise... | kind(susan) | [
"p0",
"p7",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5920871841918666276527153
% SZS output start Proof for 5920871841918666276527153
1. ! [X0] : (~curious(X0) => (kind(X0) & ~calm(X0))) [input p0]
8. ! [X0] : ((generous(X0) & ~patient(X0)) <=> curious(X0)) [input p7]
18. generous(susan) <~> ~kind(susan) [input p17]
23. ~kind(susan) [input ... | 0 |
Everyone who is not creative is curious or not creative.
Everyone who is generous is both not generous and patient and vice versa.
If someone is funny or kind then someone is brave and vice versa.
Everyone who is not patient or not creative is either not humble or creative.
Everyone who is not humble or not funny is ei... | Lucy is not strong. | contradiction | (![X]:(~creative(X)=>(curious(X)|~creative(X))))&
(![X]:(generous(X)<=>(~generous(X)&patient(X))))&
((?[X]:((funny(X)|kind(X))))<=>(?[X]:(brave(X))))&
(![X]:((~patient(X)|~creative(X))=>(~humble(X)<~>creative(X))))&
(![X]:((~humble(X)|~funny(X))=>(brave(X)<~>~curious(X))))&
(![X]:((~strong(X)<~>creative(X))=>(strong(X)... | ~strong(lucy) | [
"p1",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 256862791782604506583689
% SZS output start Proof for 256862791782604506583689
2. ! [X0] : (generous(X0) <=> (patient(X0) & ~generous(X0))) [input p1]
4. ! [X0] : ((~creative(X0) | ~patient(X0)) => (~humble(X0) <~> creative(X0))) [input p3]
6. ! [X0] : ((~strong(X0) <~> creative(X0)) => (... | 0 |
If susan is not strong or kind then someone is not kind and vice versa.
Everyone who is funny or generous is calm and vice versa.
Everyone who is either not calm or creative is both not humble and not tall.
If paul is both not curious and not old then mary is either not happy or not brave.
If someone is not calm then j... | Lucy is not brave. | neutral | (((~strong(susan)|kind(susan)))<=>(?[X]:(~kind(X))))&
(![X]:((funny(X)|generous(X))<=>calm(X)))&
(![X]:((~calm(X)<~>creative(X))=>(~humble(X)&~tall(X))))&
(((~curious(paul)&~old(paul)))=>((~happy(mary)<~>~brave(mary))))&
((?[X]:(~calm(X)))<=>((~brave(john)<~>~quiet(john))))&
(![X]:((~quiet(X)|~kind(X))<=>(~quiet(X)|~ha... | ~brave(lucy) | [] | null | 0 |
Everyone who is either quiet or curious is tall or patient and vice versa.
If someone is both not tall and not generous then paul is funny.
If fred is either curious or funny then fred is humble or calm and vice versa.
If someone is not calm or not patient then mary is brave or not strong.
Everyone who is both strong a... | Alice is not tall. | contradiction | (![X]:((quiet(X)<~>curious(X))<=>(tall(X)|patient(X))))&
((?[X]:((~tall(X)&~generous(X))))=>(funny(paul)))&
(((curious(fred)<~>funny(fred)))<=>((humble(fred)|calm(fred))))&
((?[X]:((~calm(X)|~patient(X))))=>((brave(mary)|~strong(mary))))&
(![X]:((strong(X)&quiet(X))=>(tall(X)&~kind(X))))&
(((~patient(fred)&~generous(fr... | ~tall(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2996215537926358688115051
% SZS output start Proof for 2996215537926358688115051
20. ~wise(alice) & tall(alice) [input p19]
25. ~tall(alice) [input hypothesis]
131. tall(alice) [cnf transformation 20]
139. ~tall(alice) [cnf transformation 25]
328. $false [subsumption resolution 139,131]
%... | 0 |
If someone is either not brave or not rich then mary is quiet or not old and vice versa. Everyone who is both not patient and quiet is not happy. Everyone who is old or kind is old and vice versa. If susan is either generous or not quiet then lucy is not rich. Everyone who is wise is creative or happy and vice versa. E... | Paul is not happy. | neutral | ((?[X]:((~brave(X)<~>~rich(X))))<=>((quiet(mary)|~old(mary))))&
(![X]:((~patient(X)&quiet(X))=>~happy(X)))&
(![X]:((old(X)|kind(X))<=>old(X)))&
(((generous(susan)<~>~quiet(susan)))=>(~rich(lucy)))&
(![X]:(wise(X)<=>(creative(X)|happy(X))))&
(![X]:(funny(X)<=>(~creative(X)&generous(X))))&
(((tall(paul)<~>~creative(paul)... | ~happy(paul) | [] | null | 0 |
If susan is either not wise or not strong then someone is both not patient and rich and vice versa. If someone is curious then susan is not brave or rich and vice versa. If alice is kind then someone is not strong or not curious and vice versa. Everyone who is both brave and not strong is patient or not quiet and vice ... | Paul is not strong. | contradiction | (((~wise(susan)<~>~strong(susan)))<=>(?[X]:((~patient(X)&rich(X)))))&
((?[X]:(curious(X)))<=>((~brave(susan)|rich(susan))))&
((kind(alice))<=>(?[X]:((~strong(X)|~curious(X)))))&
(![X]:((brave(X)&~strong(X))<=>(patient(X)|~quiet(X))))&
(((funny(mary)&~tall(mary)))<=>(patient(mary)))&
(((~quiet(paul)&~rich(paul)))<=>(?[X... | ~strong(paul) | [
"p2",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 51571651707471554261845
% SZS output start Proof for 51571651707471554261845
3. kind(alice) <=> ? [X0] : (~curious(X0) | ~strong(X0)) [input p2]
8. ! [X0] : ((~rich(X0) | rich(X0)) => ~kind(X0)) [input p7]
23. ~strong(paul) [input hypothesis]
25. ! [X0] : (~kind(X0) | (rich(X0) & ~rich(X0... | 0 |
Everyone who is both curious and not generous is not tall and vice versa. If someone is either strong or not calm then mary is not humble and vice versa. Everyone who is curious is calm or tall. If someone is either not quiet or not humble then mary is not creative. If lucy is either not patient or not happy then alice... | Susan is not quiet. | entailment | (![X]:((curious(X)&~generous(X))<=>~tall(X)))&
((?[X]:((strong(X)<~>~calm(X))))<=>(~humble(mary)))&
(![X]:(curious(X)=>(calm(X)|tall(X))))&
((?[X]:((~quiet(X)<~>~humble(X))))=>(~creative(mary)))&
(((~patient(lucy)<~>~happy(lucy)))<=>((~tall(alice)&wise(alice))))&
(![X]:((~patient(X)|strong(X))<=>(~old(X)<~>wise(X))))&
... | ~quiet(susan) | [
"p0",
"p2",
"p5",
"p6",
"p9",
"p10",
"p12",
"p13",
"p14",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 1187631708594872279458250
% SZS output start Proof for 1187631708594872279458250
1. ! [X0] : ((~generous(X0) & curious(X0)) <=> ~tall(X0)) [input p0]
3. ! [X0] : (curious(X0) => (tall(X0) | calm(X0))) [input p2]
6. ! [X0] : ((strong(X0) | ~patient(X0)) <=> (~old(X0) <~> wise(X0))) [input ... | 0 |
If alice is both calm and not tall then fred is quiet.
If someone is either not kind or not curious then john is both old and not tall and vice versa.
Everyone who is both not funny and not creative is not kind.
Everyone who is either not old or not brave is either happy or not kind.
If someone is either not creative o... | Fred is not wise. | contradiction | (((calm(alice)&~tall(alice)))=>(quiet(fred)))&
((?[X]:((~kind(X)<~>~curious(X))))<=>((old(john)&~tall(john))))&
(![X]:((~funny(X)&~creative(X))=>~kind(X)))&
(![X]:((~old(X)<~>~brave(X))=>(happy(X)<~>~kind(X))))&
((?[X]:((~creative(X)<~>happy(X))))<=>(?[X]:((~wise(X)&~quiet(X)))))&
(![X]:((calm(X)|~brave(X))<=>~calm(X))... | ~wise(fred) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5007408857147739525606862
% SZS output start Proof for 5007408857147739525606862
6. ! [X0] : ((~brave(X0) | calm(X0)) <=> ~calm(X0)) [input p5]
10. ! [X0] : (~calm(X0) => (calm(X0) <~> wise(X0))) [input p9]
23. ~wise(fred) [input hypothesis]
31. ! [X0] : ((calm(X0) <~> wise(X0)) | calm(X0... | 0 |
If someone is either old or calm then alice is not humble or creative and vice versa.
If someone is both not patient and creative then someone is wise and vice versa.
If lucy is both patient and not generous then someone is not curious or calm and vice versa.
Everyone who is not generous is either not kind or not quiet... | Fred is funny. | neutral | ((?[X]:((old(X)<~>calm(X))))<=>((~humble(alice)|creative(alice))))&
((?[X]:((~patient(X)&creative(X))))<=>(?[X]:(wise(X))))&
(((patient(lucy)&~generous(lucy)))<=>(?[X]:((~curious(X)|calm(X)))))&
(![X]:(~generous(X)=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~strong(X)<~>rich(X))))=>((~happy(lucy)|~kind(lucy))))&
(![X]:((rich(... | funny(fred) | [] | null | 0 |
Everyone who is not wise or not rich is either not tall or tall and vice versa. If someone is either not happy or curious then someone is either not curious or calm and vice versa. Everyone who is not funny or not creative is rich and vice versa. Everyone who is not patient is both tall and not happy and vice versa. Ev... | Mary is not kind. | neutral | (![X]:((~wise(X)|~rich(X))<=>(~tall(X)<~>tall(X))))&
((?[X]:((~happy(X)<~>curious(X))))<=>(?[X]:((~curious(X)<~>calm(X)))))&
(![X]:((~funny(X)|~creative(X))<=>rich(X)))&
(![X]:(~patient(X)<=>(tall(X)&~happy(X))))&
(![X]:((old(X)&strong(X))=>(~happy(X)<~>~tall(X))))&
((?[X]:((~rich(X)&~patient(X))))=>((~calm(alice)|curi... | ~kind(mary) | [] | null | 0 |
If alice is either kind or not patient then someone is not calm or not patient.
Everyone who is either not old or rich is strong.
If someone is both not strong and wise then someone is not quiet.
If someone is either not quiet or not generous then alice is either happy or not happy.
If someone is happy or not funny the... | Fred is not brave. | neutral | (((kind(alice)<~>~patient(alice)))=>(?[X]:((~calm(X)|~patient(X)))))&
(![X]:((~old(X)<~>rich(X))=>strong(X)))&
((?[X]:((~strong(X)&wise(X))))=>(?[X]:(~quiet(X))))&
((?[X]:((~quiet(X)<~>~generous(X))))=>((happy(alice)<~>~happy(alice))))&
((?[X]:((happy(X)|~funny(X))))<=>(?[X]:((brave(X)|tall(X)))))&
(![X]:((kind(X)<~>ha... | ~brave(fred) | [] | null | 0 |
Everyone who is rich or not brave is either patient or not humble.
Everyone who is not rich or strong is both calm and quiet.
Everyone who is both old and creative is either not tall or tall and vice versa.
Everyone who is either not kind or not humble is quiet and vice versa.
Everyone who is brave is both curious and ... | Alice is tall. | contradiction | (![X]:((rich(X)|~brave(X))=>(patient(X)<~>~humble(X))))&
(![X]:((~rich(X)|strong(X))=>(calm(X)&quiet(X))))&
(![X]:((old(X)&creative(X))<=>(~tall(X)<~>tall(X))))&
(![X]:((~kind(X)<~>~humble(X))<=>quiet(X)))&
(![X]:(brave(X)=>(curious(X)&~generous(X))))&
(![X]:((funny(X)|~brave(X))=>(old(X)<~>~brave(X))))&
((?[X]:((~wise... | tall(alice) | [
"p2",
"p4",
"p5",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 3446853367653253219932265
% SZS output start Proof for 3446853367653253219932265
3. ! [X0] : ((creative(X0) & old(X0)) <=> (~tall(X0) <~> tall(X0))) [input p2]
5. ! [X0] : (brave(X0) => (~generous(X0) & curious(X0))) [input p4]
6. ! [X0] : ((~brave(X0) | funny(X0)) => (old(X0) <~> ~brave(... | 0 |
Everyone who is not tall is both tall and not patient and vice versa.
If someone is not curious or old then fred is both patient and not rich and vice versa.
Everyone who is either not calm or not curious is humble and vice versa.
Everyone who is either not old or funny is both funny and not tall and vice versa.
Everyo... | Fred is not generous. | contradiction | (![X]:(~tall(X)<=>(tall(X)&~patient(X))))&
((?[X]:((~curious(X)|old(X))))<=>((patient(fred)&~rich(fred))))&
(![X]:((~calm(X)<~>~curious(X))<=>humble(X)))&
(![X]:((~old(X)<~>funny(X))<=>(funny(X)&~tall(X))))&
(![X]:((curious(X)&brave(X))<=>(creative(X)&~rich(X))))&
(((~creative(susan)&~funny(susan)))<=>(old(lucy)))&
(![... | ~generous(fred) | [
"p0",
"p3",
"p4",
"p6",
"p7",
"p10",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 3482239736192990774307416
% SZS output start Proof for 3482239736192990774307416
1. ! [X0] : (~tall(X0) <=> (~patient(X0) & tall(X0))) [input p0]
4. ! [X0] : ((~old(X0) <~> funny(X0)) <=> (~tall(X0) & funny(X0))) [input p3]
5. ! [X0] : ((brave(X0) & curious(X0)) <=> (~rich(X0) & creative(... | 0 |
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