premise stringlengths 940 1.64k | hypothesis stringclasses 224
values | label stringclasses 3
values | premise_tptp stringlengths 721 1.28k | hypothesis_tptp stringclasses 224
values | proof_inputs listlengths 0 15 | proof stringlengths 684 15.9k ⌀ | rule_concentration int64 0 0 |
|---|---|---|---|---|---|---|---|
Everyone who is either not patient or kind is strong and vice versa. Everyone who is not patient or not happy is both calm and rich and vice versa. Everyone who is both not rich and not curious is either tall or not kind. Everyone who is not rich is either patient or happy. Everyone who is both humble and quiet is both... | Paul is curious. | contradiction | (![X]:((~patient(X)<~>kind(X))<=>strong(X)))&
(![X]:((~patient(X)|~happy(X))<=>(calm(X)&rich(X))))&
(![X]:((~rich(X)&~curious(X))=>(tall(X)<~>~kind(X))))&
(![X]:(~rich(X)=>(patient(X)<~>happy(X))))&
(![X]:((humble(X)&quiet(X))=>(~creative(X)&~tall(X))))&
(![X]:((creative(X)&~rich(X))=>(~old(X)<~>~brave(X))))&
((?[X]:(c... | curious(paul) | [
"p1",
"p3",
"p7",
"p9",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2159940539844318337502853
% SZS output start Proof for 2159940539844318337502853
2. ! [X0] : ((~happy(X0) | ~patient(X0)) <=> (rich(X0) & calm(X0))) [input p1]
4. ! [X0] : (~rich(X0) => (patient(X0) <~> happy(X0))) [input p3]
8. ! [X0] : ((~happy(X0) <~> strong(X0)) => (~humble(X0) & ~ric... | 0 |
Everyone who is not wise or tall is either not strong or not kind.
If someone is not calm then someone is either tall or kind and vice versa.
If someone is either not calm or not old then someone is kind or brave.
If john is both not kind and not brave then someone is both not humble and brave.
If someone is both gener... | Lucy is not kind. | entailment | (![X]:((~wise(X)|tall(X))=>(~strong(X)<~>~kind(X))))&
((?[X]:(~calm(X)))<=>(?[X]:((tall(X)<~>kind(X)))))&
((?[X]:((~calm(X)<~>~old(X))))=>(?[X]:((kind(X)|brave(X)))))&
(((~kind(john)&~brave(john)))=>(?[X]:((~humble(X)&brave(X)))))&
((?[X]:((generous(X)&~creative(X))))=>(?[X]:((~creative(X)<~>~rich(X)))))&
((?[X]:(~old(... | ~kind(lucy) | [
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1141946359818130939125468
% SZS output start Proof for 1141946359818130939125468
12. (humble(alice) & brave(alice)) <=> (happy(paul) | ~happy(paul)) [input p11]
16. ? [X0] : (~wise(X0) | kind(X0)) <=> (~humble(alice) & ~rich(alice)) [input p15]
25. kind(lucy) [input hypothesis]
70. ((humb... | 0 |
If alice is calm or wise then someone is both curious and not kind and vice versa.
Everyone who is not calm is not quiet.
Everyone who is either not curious or not tall is either not creative or curious and vice versa.
If someone is either patient or curious then paul is not strong or not wise.
Everyone who is either n... | John is generous. | entailment | (((calm(alice)|wise(alice)))<=>(?[X]:((curious(X)&~kind(X)))))&
(![X]:(~calm(X)=>~quiet(X)))&
(![X]:((~curious(X)<~>~tall(X))<=>(~creative(X)<~>curious(X))))&
((?[X]:((patient(X)<~>curious(X))))=>((~strong(paul)|~wise(paul))))&
(![X]:((~curious(X)<~>brave(X))=>tall(X)))&
(![X]:((~rich(X)&quiet(X))=>(~brave(X)|wise(X)))... | generous(john) | [
"p2",
"p6",
"p10",
"p11",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 2767422468191173797835954
% SZS output start Proof for 2767422468191173797835954
3. ! [X0] : ((~curious(X0) <~> ~tall(X0)) <=> (~creative(X0) <~> curious(X0))) [input p2]
7. ! [X0] : ((~quiet(X0) <~> ~generous(X0)) <=> (quiet(X0) | old(X0))) [input p6]
11. ! [X0] : (~quiet(X0) <=> (~wise(... | 0 |
If someone is not calm then alice is not rich or not creative and vice versa.
Everyone who is not humble or generous is both not curious and happy.
If susan is either patient or funny then someone is both patient and not calm.
If susan is not old or funny then john is both humble and strong.
Everyone who is both patien... | Fred is humble. | entailment | ((?[X]:(~calm(X)))<=>((~rich(alice)|~creative(alice))))&
(![X]:((~humble(X)|generous(X))=>(~curious(X)&happy(X))))&
(((patient(susan)<~>funny(susan)))=>(?[X]:((patient(X)&~calm(X)))))&
(((~old(susan)|funny(susan)))=>((humble(john)&strong(john))))&
(![X]:((patient(X)&kind(X))<=>~generous(X)))&
(![X]:((~calm(X)<~>patient... | humble(fred) | [
"p4",
"p6",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1951072035846956192352440
% SZS output start Proof for 1951072035846956192352440
5. ! [X0] : ((kind(X0) & patient(X0)) <=> ~generous(X0)) [input p4]
7. ! [X0] : (~quiet(X0) <=> ~generous(X0)) [input p6]
14. ! [X0] : (~quiet(X0) <=> (~generous(X0) | ~kind(X0))) [input p13]
16. ! [X0] : (~k... | 0 |
If alice is not wise then someone is calm or not brave and vice versa.
If fred is not curious or strong then someone is either patient or not brave and vice versa.
If fred is both not creative and not rich then alice is both quiet and not tall.
Everyone who is calm or not curious is not happy or not humble.
If someone ... | Susan is not generous. | contradiction | ((~wise(alice))<=>(?[X]:((calm(X)|~brave(X)))))&
(((~curious(fred)|strong(fred)))<=>(?[X]:((patient(X)<~>~brave(X)))))&
(((~creative(fred)&~rich(fred)))=>((quiet(alice)&~tall(alice))))&
(![X]:((calm(X)|~curious(X))=>(~happy(X)|~humble(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~old(X)<~>~generous(X)))))&
((patient(alice))=>... | ~generous(susan) | [
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 4778386993671470091157933
% SZS output start Proof for 4778386993671470091157933
10. ! [X0] : ((~calm(X0) & ~rich(X0)) <=> ~generous(X0)) [input p9]
13. ! [X0] : ((patient(X0) & calm(X0)) <=> (~humble(X0) | ~generous(X0))) [input p12]
23. ~generous(susan) [input hypothesis]
55. ! [X0] : (... | 0 |
If someone is either happy or funny then fred is not quiet or not funny and vice versa.
If someone is quiet or not funny then someone is either strong or brave.
If lucy is not humble or generous then someone is either not creative or not wise.
If paul is wise or kind then someone is humble or old and vice versa.
Everyo... | Susan is old. | entailment | ((?[X]:((happy(X)<~>funny(X))))<=>((~quiet(fred)|~funny(fred))))&
((?[X]:((quiet(X)|~funny(X))))=>(?[X]:((strong(X)<~>brave(X)))))&
(((~humble(lucy)|generous(lucy)))=>(?[X]:((~creative(X)<~>~wise(X)))))&
(((wise(paul)|kind(paul)))<=>(?[X]:((humble(X)|old(X)))))&
(![X]:((~wise(X)|generous(X))<=>(~strong(X)&quiet(X))))&
... | old(susan) | [
"p4",
"p7",
"p11",
"p12",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 480585204755352897119741
% SZS output start Proof for 480585204755352897119741
5. ! [X0] : ((generous(X0) | ~wise(X0)) <=> (quiet(X0) & ~strong(X0))) [input p4]
8. ! [X0] : ((~happy(X0) | ~calm(X0)) => (~tall(X0) & strong(X0))) [input p7]
12. ! [X0] : ((wise(X0) | funny(X0)) => happy(X0))... | 0 |
If fred is either not calm or happy then fred is not old or wise and vice versa.
Everyone who is both happy and not generous is either creative or not tall and vice versa.
Everyone who is generous is both quiet and curious and vice versa.
If someone is either funny or not tall then mary is not humble or not kind.
If lu... | Susan is not tall. | neutral | (((~calm(fred)<~>happy(fred)))<=>((~old(fred)|wise(fred))))&
(![X]:((happy(X)&~generous(X))<=>(creative(X)<~>~tall(X))))&
(![X]:(generous(X)<=>(quiet(X)&curious(X))))&
((?[X]:((funny(X)<~>~tall(X))))=>((~humble(mary)|~kind(mary))))&
(((calm(lucy)<~>~kind(lucy)))=>((~curious(alice)|brave(alice))))&
(![X]:((generous(X)&t... | ~tall(susan) | [] | null | 0 |
Everyone who is either quiet or calm is both funny and old. Everyone who is either kind or not tall is both calm and not creative and vice versa. Everyone who is either not wise or curious is both quiet and humble and vice versa. If someone is both not brave and not wise then susan is both not happy and not patient and... | Alice is humble. | contradiction | (![X]:((quiet(X)<~>calm(X))=>(funny(X)&old(X))))&
(![X]:((kind(X)<~>~tall(X))<=>(calm(X)&~creative(X))))&
(![X]:((~wise(X)<~>curious(X))<=>(quiet(X)&humble(X))))&
((?[X]:((~brave(X)&~wise(X))))<=>((~happy(susan)&~patient(susan))))&
(![X]:((~creative(X)|creative(X))<=>(quiet(X)|wise(X))))&
(((funny(paul)&tall(paul)))<=>... | humble(alice) | [
"p10",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7765403618635755284524185
% SZS output start Proof for 7765403618635755284524185
11. ! [X0] : (~happy(X0) <=> humble(X0)) [input p10]
20. happy(alice) & ~brave(alice) [input p19]
24. humble(alice) [input hypothesis]
59. ! [X0] : ((~happy(X0) | ~humble(X0)) & (humble(X0) | happy(X0))) [nnf... | 0 |
Everyone who is either tall or old is either not generous or old. Everyone who is both not calm and not strong is not generous or strong. Everyone who is both generous and happy is both not strong and curious. Everyone who is funny or wise is both strong and not calm and vice versa. If someone is either strong or rich ... | Alice is not kind. | entailment | (![X]:((tall(X)<~>old(X))=>(~generous(X)<~>old(X))))&
(![X]:((~calm(X)&~strong(X))=>(~generous(X)|strong(X))))&
(![X]:((generous(X)&happy(X))=>(~strong(X)&curious(X))))&
(![X]:((funny(X)|wise(X))<=>(strong(X)&~calm(X))))&
((?[X]:((strong(X)<~>rich(X))))<=>(?[X]:((~calm(X)<~>creative(X)))))&
(![X]:((~funny(X)&humble(X))... | ~kind(alice) | [
"p5",
"p7",
"p9",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 4849014487319471072501685
% SZS output start Proof for 4849014487319471072501685
6. ! [X0] : ((humble(X0) & ~funny(X0)) <=> (rich(X0) | funny(X0))) [input p5]
8. ! [X0] : (wise(X0) <=> (~kind(X0) & ~old(X0))) [input p7]
10. ? [X0] : (~old(X0) | rich(X0)) => ? [X0] : (~tall(X0) & ~happy(X0... | 0 |
Everyone who is patient is not old or not strong.
Everyone who is not calm or not rich is quiet.
Everyone who is both rich and quiet is quiet and vice versa.
Everyone who is both old and not quiet is either creative or rich.
Everyone who is not kind or quiet is both not calm and tall and vice versa.
Everyone who is eit... | Lucy is not curious. | entailment | (![X]:(patient(X)=>(~old(X)|~strong(X))))&
(![X]:((~calm(X)|~rich(X))=>quiet(X)))&
(![X]:((rich(X)&quiet(X))<=>quiet(X)))&
(![X]:((old(X)&~quiet(X))=>(creative(X)<~>rich(X))))&
(![X]:((~kind(X)|quiet(X))<=>(~calm(X)&tall(X))))&
(![X]:((~funny(X)<~>~creative(X))=>(tall(X)<~>~funny(X))))&
((?[X]:((~happy(X)&~rich(X))))<=... | ~curious(lucy) | [
"p0",
"p1",
"p2",
"p3",
"p4",
"p5",
"p6",
"p7",
"p11",
"p18",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 63575597711489539462859
% SZS output start Proof for 63575597711489539462859
1. ! [X0] : (patient(X0) => (~strong(X0) | ~old(X0))) [input p0]
2. ! [X0] : ((~rich(X0) | ~calm(X0)) => quiet(X0)) [input p1]
3. ! [X0] : ((quiet(X0) & rich(X0)) <=> quiet(X0)) [input p2]
4. ! [X0] : ((~quiet(X0... | 0 |
Everyone who is not quiet or old is not old and vice versa.
If someone is calm or strong then someone is patient or not humble and vice versa.
If mary is either not generous or not old then someone is both brave and not rich.
Everyone who is calm or strong is creative or not creative and vice versa.
If john is either c... | Susan is not kind. | contradiction | (![X]:((~quiet(X)|old(X))<=>~old(X)))&
((?[X]:((calm(X)|strong(X))))<=>(?[X]:((patient(X)|~humble(X)))))&
(((~generous(mary)<~>~old(mary)))=>(?[X]:((brave(X)&~rich(X)))))&
(![X]:((calm(X)|strong(X))<=>(creative(X)|~creative(X))))&
(((creative(john)<~>tall(john)))<=>((old(paul)&calm(paul))))&
(![X]:((happy(X)<~>creative... | ~kind(susan) | [
"p0",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 718248824983191523382663
% SZS output start Proof for 718248824983191523382663
1. ! [X0] : ((old(X0) | ~quiet(X0)) <=> ~old(X0)) [input p0]
11. ! [X0] : (~quiet(X0) <=> kind(X0)) [input p10]
23. ~kind(susan) [input hypothesis]
33. ! [X0] : (((old(X0) | ~quiet(X0)) | old(X0)) & (~old(X0) |... | 0 |
Everyone who is not rich is creative and vice versa.
Everyone who is either generous or calm is either rich or not calm.
If someone is either old or funny then someone is either old or not kind.
Everyone who is tall or not wise is both not humble and strong.
Everyone who is either curious or not brave is either not old... | Susan is kind. | neutral | (![X]:(~rich(X)<=>creative(X)))&
(![X]:((generous(X)<~>calm(X))=>(rich(X)<~>~calm(X))))&
((?[X]:((old(X)<~>funny(X))))=>(?[X]:((old(X)<~>~kind(X)))))&
(![X]:((tall(X)|~wise(X))=>(~humble(X)&strong(X))))&
(![X]:((curious(X)<~>~brave(X))=>(~old(X)<~>~kind(X))))&
(![X]:((strong(X)<~>generous(X))=>(~tall(X)&~calm(X))))&
(!... | kind(susan) | [] | null | 0 |
Everyone who is either curious or old is kind.
Everyone who is kind is not tall and vice versa.
If someone is either not creative or not quiet then john is not generous or strong and vice versa.
Everyone who is not wise or creative is not generous or old.
Everyone who is not brave or generous is curious or not generous... | John is generous. | neutral | (![X]:((curious(X)<~>old(X))=>kind(X)))&
(![X]:(kind(X)<=>~tall(X)))&
((?[X]:((~creative(X)<~>~quiet(X))))<=>((~generous(john)|strong(john))))&
(![X]:((~wise(X)|creative(X))=>(~generous(X)|old(X))))&
(![X]:((~brave(X)|generous(X))=>(curious(X)|~generous(X))))&
(![X]:((funny(X)<~>quiet(X))=>(~kind(X)|rich(X))))&
(![X]:(... | generous(john) | [] | null | 0 |
Everyone who is patient is not generous or kind and vice versa. Everyone who is not happy or not kind is not brave. Everyone who is either wise or not tall is either not strong or quiet. If alice is humble or not kind then someone is not happy. If someone is either patient or generous then lucy is not creative. Everyon... | Susan is not kind. | contradiction | (![X]:(patient(X)<=>(~generous(X)|kind(X))))&
(![X]:((~happy(X)|~kind(X))=>~brave(X)))&
(![X]:((wise(X)<~>~tall(X))=>(~strong(X)<~>quiet(X))))&
(((humble(alice)|~kind(alice)))=>(?[X]:(~happy(X))))&
((?[X]:((patient(X)<~>generous(X))))=>(~creative(lucy)))&
(![X]:(~creative(X)=>(~calm(X)&~kind(X))))&
((?[X]:(~generous(X)... | ~kind(susan) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5741683501205115476443652
% SZS output start Proof for 5741683501205115476443652
8. (rich(john) & ~creative(john)) <=> ? [X0] : (wise(X0) | ~kind(X0)) [input p7]
10. ! [X0] : ((~creative(X0) | ~rich(X0)) => (tall(X0) & ~tall(X0))) [input p9]
22. ~kind(susan) [input hypothesis]
32. ! [X0] ... | 0 |
Everyone who is either not humble or not calm is creative or curious and vice versa.
Everyone who is both not wise and not generous is both not funny and creative and vice versa.
Everyone who is either humble or not funny is both not strong and curious.
Everyone who is either not generous or happy is either curious or ... | Fred is wise. | entailment | (![X]:((~humble(X)<~>~calm(X))<=>(creative(X)|curious(X))))&
(![X]:((~wise(X)&~generous(X))<=>(~funny(X)&creative(X))))&
(![X]:((humble(X)<~>~funny(X))=>(~strong(X)&curious(X))))&
(![X]:((~generous(X)<~>happy(X))=>(curious(X)<~>~tall(X))))&
((~old(fred))=>(~rich(lucy)))&
(((funny(fred)|tall(fred)))<=>((~tall(fred)<~>fu... | wise(fred) | [
"p1",
"p5",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 5004762502007311509906909
% SZS output start Proof for 5004762502007311509906909
2. ! [X0] : ((~generous(X0) & ~wise(X0)) <=> (creative(X0) & ~funny(X0))) [input p1]
6. (tall(fred) | funny(fred)) <=> (~tall(fred) <~> funny(fred)) [input p5]
12. ! [X0] : (wise(X0) <=> (generous(X0) | ~pati... | 0 |
Everyone who is brave or tall is not quiet and vice versa. Everyone who is not patient or brave is happy or funny. Everyone who is not rich or brave is either not calm or humble. If someone is funny or not generous then susan is both brave and not wise. If lucy is calm or not patient then someone is humble. If someone ... | Paul is not quiet. | entailment | (![X]:((brave(X)|tall(X))<=>~quiet(X)))&
(![X]:((~patient(X)|brave(X))=>(happy(X)|funny(X))))&
(![X]:((~rich(X)|brave(X))=>(~calm(X)<~>humble(X))))&
((?[X]:((funny(X)|~generous(X))))=>((brave(susan)&~wise(susan))))&
(((calm(lucy)|~patient(lucy)))=>(?[X]:(humble(X))))&
((?[X]:((rich(X)&old(X))))=>((~quiet(john)<~>curiou... | ~quiet(paul) | [
"p0",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 5383923941663283140906179
% SZS output start Proof for 5383923941663283140906179
1. ! [X0] : ((tall(X0) | brave(X0)) <=> ~quiet(X0)) [input p0]
16. ! [X0] : ((~quiet(X0) & curious(X0)) <=> (quiet(X0) <~> ~calm(X0))) [input p15]
24. ~tall(paul) <~> ~calm(paul) [input p23]
25. quiet(paul) [... | 0 |
Everyone who is either curious or old is both rich and brave and vice versa.
If mary is either calm or not quiet then someone is brave or not creative and vice versa.
Everyone who is both not creative and not tall is humble and vice versa.
If lucy is either kind or calm then paul is not quiet.
Everyone who is generous ... | Fred is not old. | contradiction | (![X]:((curious(X)<~>old(X))<=>(rich(X)&brave(X))))&
(((calm(mary)<~>~quiet(mary)))<=>(?[X]:((brave(X)|~creative(X)))))&
(![X]:((~creative(X)&~tall(X))<=>humble(X)))&
(((kind(lucy)<~>calm(lucy)))=>(~quiet(paul)))&
(![X]:((generous(X)|funny(X))<=>(strong(X)&patient(X))))&
(((curious(lucy)&patient(lucy)))=>(~tall(lucy)))... | ~old(fred) | [
"p0",
"p2",
"p4",
"p7",
"p9",
"p10",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 7514122576211875858155324
% SZS output start Proof for 7514122576211875858155324
1. ! [X0] : ((curious(X0) <~> old(X0)) <=> (brave(X0) & rich(X0))) [input p0]
3. ! [X0] : ((~tall(X0) & ~creative(X0)) <=> humble(X0)) [input p2]
5. ! [X0] : ((funny(X0) | generous(X0)) <=> (patient(X0) & str... | 0 |
Everyone who is curious is either not generous or patient.
Everyone who is both not old and creative is tall and vice versa.
If mary is not curious or not quiet then susan is either not humble or not calm and vice versa.
If john is both not humble and not strong then someone is both patient and quiet and vice versa.
Ev... | John is patient. | contradiction | (![X]:(curious(X)=>(~generous(X)<~>patient(X))))&
(![X]:((~old(X)&creative(X))<=>tall(X)))&
(((~curious(mary)|~quiet(mary)))<=>((~humble(susan)<~>~calm(susan))))&
(((~humble(john)&~strong(john)))<=>(?[X]:((patient(X)&quiet(X)))))&
(![X]:(humble(X)=>(happy(X)&~funny(X))))&
(![X]:((wise(X)&~tall(X))<=>(calm(X)<~>funny(X)... | patient(john) | [
"p3",
"p4",
"p5",
"p8",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6729852662778651969997642
% SZS output start Proof for 6729852662778651969997642
4. (~strong(john) & ~humble(john)) <=> ? [X0] : (quiet(X0) & patient(X0)) [input p3]
5. ! [X0] : (humble(X0) => (~funny(X0) & happy(X0))) [input p4]
6. ! [X0] : ((~tall(X0) & wise(X0)) <=> (calm(X0) <~> funny... | 0 |
Everyone who is funny is not happy or strong.
Everyone who is creative or not rich is both not rich and happy and vice versa.
If susan is not brave or not calm then someone is either not humble or not strong and vice versa.
Everyone who is not strong is both not calm and rich.
If fred is both not patient and not old th... | John is old. | entailment | (![X]:(funny(X)=>(~happy(X)|strong(X))))&
(![X]:((creative(X)|~rich(X))<=>(~rich(X)&happy(X))))&
(((~brave(susan)|~calm(susan)))<=>(?[X]:((~humble(X)<~>~strong(X)))))&
(![X]:(~strong(X)=>(~calm(X)&rich(X))))&
(((~patient(fred)&~old(fred)))=>((creative(susan)<~>~rich(susan))))&
(![X]:(brave(X)<=>(~strong(X)&~tall(X))))&... | old(john) | [
"p1",
"p6",
"p7",
"p8",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8979159134979036427883835
% SZS output start Proof for 8979159134979036427883835
2. ! [X0] : ((~rich(X0) | creative(X0)) <=> (happy(X0) & ~rich(X0))) [input p1]
7. ! [X0] : ((~rich(X0) | ~humble(X0)) <=> (~brave(X0) & wise(X0))) [input p6]
8. ! [X0] : ((~generous(X0) & generous(X0)) <=> (... | 0 |
If someone is strong then someone is both not rich and not kind. Everyone who is strong is either not quiet or strong and vice versa. If someone is either not curious or not happy then someone is patient. Everyone who is both calm and not happy is both calm and not funny and vice versa. Everyone who is patient or not g... | Susan is generous. | entailment | ((?[X]:(strong(X)))=>(?[X]:((~rich(X)&~kind(X)))))&
(![X]:(strong(X)<=>(~quiet(X)<~>strong(X))))&
((?[X]:((~curious(X)<~>~happy(X))))=>(?[X]:(patient(X))))&
(![X]:((calm(X)&~happy(X))<=>(calm(X)&~funny(X))))&
(![X]:((patient(X)|~generous(X))=>generous(X)))&
(![X]:(~quiet(X)=>(old(X)|rich(X))))&
(((~humble(john)|curious... | generous(susan) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 6103557267358251461658982
% SZS output start Proof for 6103557267358251461658982
5. ! [X0] : ((~generous(X0) | patient(X0)) => generous(X0)) [input p4]
23. ~generous(susan) [input hypothesis]
31. ! [X0] : (generous(X0) | (generous(X0) & ~patient(X0))) [ennf transformation 5]
90. generous(... | 0 |
Everyone who is either not humble or creative is not brave or curious and vice versa. If susan is either rich or not happy then someone is either not rich or funny. Everyone who is either kind or funny is not wise and vice versa. Everyone who is both not old and quiet is both not quiet and patient and vice versa. Every... | John is not funny. | neutral | (![X]:((~humble(X)<~>creative(X))<=>(~brave(X)|curious(X))))&
(((rich(susan)<~>~happy(susan)))=>(?[X]:((~rich(X)<~>funny(X)))))&
(![X]:((kind(X)<~>funny(X))<=>~wise(X)))&
(![X]:((~old(X)&quiet(X))<=>(~quiet(X)&patient(X))))&
(![X]:(quiet(X)<=>creative(X)))&
(![X]:(~quiet(X)=>(~wise(X)&~quiet(X))))&
(![X]:(~patient(X)=>... | ~funny(john) | [] | null | 0 |
If alice is either brave or not brave then lucy is not curious or strong and vice versa.
Everyone who is not curious is not calm or not generous.
Everyone who is both not kind and not creative is either not wise or not kind.
If alice is not patient then someone is either not strong or curious and vice versa.
Everyone w... | John is not tall. | contradiction | (((brave(alice)<~>~brave(alice)))<=>((~curious(lucy)|strong(lucy))))&
(![X]:(~curious(X)=>(~calm(X)|~generous(X))))&
(![X]:((~kind(X)&~creative(X))=>(~wise(X)<~>~kind(X))))&
((~patient(alice))<=>(?[X]:((~strong(X)<~>curious(X)))))&
(![X]:(strong(X)=>kind(X)))&
(![X]:((~humble(X)&wise(X))=>(funny(X)<~>~kind(X))))&
(![X]... | ~tall(john) | [
"p6",
"p8",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8593754213343090178262425
% SZS output start Proof for 8593754213343090178262425
7. ! [X0] : ((generous(X0) & ~creative(X0)) <=> (~tall(X0) <~> humble(X0))) [input p6]
9. ! [X0] : (generous(X0) <=> (creative(X0) & ~funny(X0))) [input p8]
12. ! [X0] : ((~generous(X0) & humble(X0)) => (gene... | 0 |
If someone is both tall and strong then alice is both not patient and not rich. Everyone who is both generous and not generous is either creative or not happy. If paul is both not tall and not old then someone is either not curious or not calm. Everyone who is calm is strong. Everyone who is not patient or not tall is ... | John is funny. | neutral | ((?[X]:((tall(X)&strong(X))))=>((~patient(alice)&~rich(alice))))&
(![X]:((generous(X)&~generous(X))=>(creative(X)<~>~happy(X))))&
(((~tall(paul)&~old(paul)))=>(?[X]:((~curious(X)<~>~calm(X)))))&
(![X]:(calm(X)=>strong(X)))&
(![X]:((~patient(X)|~tall(X))<=>(~generous(X)&wise(X))))&
((?[X]:((~calm(X)|~curious(X))))<=>(?[... | funny(john) | [] | null | 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... | Mary is brave. | 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))))&
((?[... | brave(mary) | [
"p0",
"p2",
"p6",
"p7",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 80173784460569959678423
% SZS output start Proof for 80173784460569959678423
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) <~> r... | 0 |
Everyone who is either strong or not wise is strong or wise and vice versa. Everyone who is patient is both not wise and not quiet and vice versa. Everyone who is strong or not quiet is either not happy or not patient. Everyone who is not wise is both kind and creative and vice versa. Everyone who is strong or not pati... | Paul is not happy. | contradiction | (![X]:((strong(X)<~>~wise(X))<=>(strong(X)|wise(X))))&
(![X]:(patient(X)<=>(~wise(X)&~quiet(X))))&
(![X]:((strong(X)|~quiet(X))=>(~happy(X)<~>~patient(X))))&
(![X]:(~wise(X)<=>(kind(X)&creative(X))))&
(![X]:((strong(X)|~patient(X))=>(~creative(X)|~generous(X))))&
(![X]:((quiet(X)|~wise(X))<=>(curious(X)|~happy(X))))&
(... | ~happy(paul) | [
"p0",
"p1",
"p2",
"p3",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 497803173864938661418436
% SZS output start Proof for 497803173864938661418436
1. ! [X0] : ((strong(X0) <~> ~wise(X0)) <=> (wise(X0) | strong(X0))) [input p0]
2. ! [X0] : (patient(X0) <=> (~quiet(X0) & ~wise(X0))) [input p1]
3. ! [X0] : ((~quiet(X0) | strong(X0)) => (~happy(X0) <~> ~patie... | 0 |
If susan is rich then fred is kind. If someone is funny or not rich then someone is both not old and calm and vice versa. Everyone who is either old or not strong is either not generous or not brave and vice versa. Everyone who is both not strong and kind is calm. If susan is either not quiet or not brave then someone ... | Fred is not old. | neutral | ((rich(susan))=>(kind(fred)))&
((?[X]:((funny(X)|~rich(X))))<=>(?[X]:((~old(X)&calm(X)))))&
(![X]:((old(X)<~>~strong(X))<=>(~generous(X)<~>~brave(X))))&
(![X]:((~strong(X)&kind(X))=>calm(X)))&
(((~quiet(susan)<~>~brave(susan)))<=>(?[X]:((~kind(X)&humble(X)))))&
(![X]:((~happy(X)|tall(X))<=>(~wise(X)<~>rich(X))))&
(![X]... | ~old(fred) | [] | null | 0 |
If john is brave or not creative then paul is not tall and vice versa.
Everyone who is not wise or strong is either not generous or patient and vice versa.
Everyone who is not old is curious or not humble and vice versa.
If mary is either quiet or old then someone is both brave and generous.
If alice is both not genero... | Fred is not quiet. | neutral | (((brave(john)|~creative(john)))<=>(~tall(paul)))&
(![X]:((~wise(X)|strong(X))<=>(~generous(X)<~>patient(X))))&
(![X]:(~old(X)<=>(curious(X)|~humble(X))))&
(((quiet(mary)<~>old(mary)))=>(?[X]:((brave(X)&generous(X)))))&
(((~generous(alice)&~rich(alice)))<=>(?[X]:((strong(X)<~>~brave(X)))))&
(![X]:((~happy(X)<~>brave(X)... | ~quiet(fred) | [] | null | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa.
If someone is both wise and kind then someone is not old or rich.
If someone is both patient and happy then john is rich.
If mary is funny then someone is not wise or not strong.
Everyone who is curious or not old is brave or not wise.
Ev... | Fred is not happy. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((wise(X)&kind(X))))=>(?[X]:((~old(X)|rich(X)))))&
((?[X]:((patient(X)&happy(X))))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient... | ~happy(fred) | [
"p4",
"p6",
"p7",
"p8",
"p10",
"p11",
"p12",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 5278220170374455537328438
% SZS output start Proof for 5278220170374455537328438
5. ! [X0] : ((~old(X0) | curious(X0)) => (~wise(X0) | brave(X0))) [input p4]
7. ! [X0] : (brave(X0) <=> patient(X0)) [input p6]
8. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p... | 0 |
Everyone who is both rich and wise is both not wise and quiet. If susan is both not creative and funny then someone is strong. Everyone who is not rich or not generous is not happy or not old. If paul is both brave and not kind then paul is not kind. Everyone who is both not generous and funny is generous or not brave ... | John is happy. | contradiction | (![X]:((rich(X)&wise(X))=>(~wise(X)&quiet(X))))&
(((~creative(susan)&funny(susan)))=>(?[X]:(strong(X))))&
(![X]:((~rich(X)|~generous(X))=>(~happy(X)|~old(X))))&
(((brave(paul)&~kind(paul)))=>(~kind(paul)))&
(![X]:((~generous(X)&funny(X))<=>(generous(X)|~brave(X))))&
((?[X]:((~old(X)|tall(X))))=>(?[X]:((~kind(X)&~humble... | happy(john) | [
"p2",
"p4",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 8570900636894187317292268
% SZS output start Proof for 8570900636894187317292268
3. ! [X0] : ((~generous(X0) | ~rich(X0)) => (~old(X0) | ~happy(X0))) [input p2]
5. ! [X0] : ((funny(X0) & ~generous(X0)) <=> (~brave(X0) | generous(X0))) [input p4]
7. ! [X0] : ((~calm(X0) & calm(X0)) <=> (~o... | 0 |
If someone is not brave then john is either brave or not humble and vice versa.
Everyone who is old is not old.
If someone is not creative then mary is either calm or not kind.
Everyone who is patient or not happy is both happy and not brave.
Everyone who is happy is both not funny and not old.
If someone is both not t... | Fred is not old. | entailment | ((?[X]:(~brave(X)))<=>((brave(john)<~>~humble(john))))&
(![X]:(old(X)=>~old(X)))&
((?[X]:(~creative(X)))=>((calm(mary)<~>~kind(mary))))&
(![X]:((patient(X)|~happy(X))=>(happy(X)&~brave(X))))&
(![X]:(happy(X)=>(~funny(X)&~old(X))))&
((?[X]:((~tall(X)&patient(X))))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((humble(X)&~hum... | ~old(fred) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 8705640851903972275251459
% SZS output start Proof for 8705640851903972275251459
2. ! [X0] : (old(X0) => ~old(X0)) [input p1]
21. old(fred) [input hypothesis]
26. ! [X0] : (~old(X0) | ~old(X0)) [ennf transformation 2]
75. ~old(X0) | ~old(X0) [cnf transformation 26]
128. old(fred) [cnf tra... | 0 |
If lucy is both not humble and quiet then alice is both not humble and not generous.
Everyone who is rich is not rich.
Everyone who is generous is both not brave and calm and vice versa.
If someone is calm or creative then fred is either not curious or happy.
If fred is wise then someone is not humble or not wise.
Ever... | Alice is quiet. | neutral | (((~humble(lucy)&quiet(lucy)))=>((~humble(alice)&~generous(alice))))&
(![X]:(rich(X)=>~rich(X)))&
(![X]:(generous(X)<=>(~brave(X)&calm(X))))&
((?[X]:((calm(X)|creative(X))))=>((~curious(fred)<~>happy(fred))))&
((wise(fred))=>(?[X]:((~humble(X)|~wise(X)))))&
(![X]:((~rich(X)|kind(X))<=>(wise(X)<~>~humble(X))))&
((?[X]:(... | quiet(alice) | [] | null | 0 |
If someone is both not rich and calm then someone is both patient and not funny.
Everyone who is either not curious or old is either tall or not calm and vice versa.
Everyone who is curious or not kind is either not strong or not happy.
If someone is both strong and not rich then fred is curious and vice versa.
If some... | Susan is brave. | contradiction | ((?[X]:((~rich(X)&calm(X))))=>(?[X]:((patient(X)&~funny(X)))))&
(![X]:((~curious(X)<~>old(X))<=>(tall(X)<~>~calm(X))))&
(![X]:((curious(X)|~kind(X))=>(~strong(X)<~>~happy(X))))&
((?[X]:((strong(X)&~rich(X))))<=>(curious(fred)))&
((?[X]:(~patient(X)))=>(?[X]:((funny(X)|curious(X)))))&
(((generous(fred)|patient(fred)))=>... | brave(susan) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 3729115997058814060637802
% SZS output start Proof for 3729115997058814060637802
17. ~brave(susan) & ~humble(susan) [input p16]
25. brave(susan) [input hypothesis]
134. ~brave(susan) [cnf transformation 17]
146. brave(susan) [cnf transformation 25]
280. 30 <=> brave(susan) [avatar definit... | 0 |
Everyone who is both quiet and not funny is either curious or not generous and vice versa. Everyone who is both tall and not generous is creative or wise and vice versa. If someone is not generous or not funny then lucy is either not generous or not wise and vice versa. Everyone who is creative is curious or generous a... | Lucy is not strong. | entailment | (![X]:((quiet(X)&~funny(X))<=>(curious(X)<~>~generous(X))))&
(![X]:((tall(X)&~generous(X))<=>(creative(X)|wise(X))))&
((?[X]:((~generous(X)|~funny(X))))<=>((~generous(lucy)<~>~wise(lucy))))&
(![X]:(creative(X)<=>(curious(X)|generous(X))))&
(![X]:((~funny(X)|rich(X))=>(~patient(X)&~calm(X))))&
(![X]:((creative(X)<~>~bra... | ~strong(lucy) | [
"p1",
"p2",
"p3",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5825557555565720682585070
% SZS output start Proof for 5825557555565720682585070
2. ! [X0] : ((~generous(X0) & tall(X0)) <=> (wise(X0) | creative(X0))) [input p1]
3. ? [X0] : (~funny(X0) | ~generous(X0)) <=> (~generous(lucy) <~> ~wise(lucy)) [input p2]
4. ! [X0] : (creative(X0) <=> (gener... | 0 |
If someone is kind then someone is not tall. If someone is brave then someone is either not kind or not happy and vice versa. If someone is both rich and generous then alice is calm and vice versa. Everyone who is happy or tall is humble and vice versa. Everyone who is not happy or rich is either funny or rich. Everyon... | Alice is tall. | contradiction | ((?[X]:(kind(X)))=>(?[X]:(~tall(X))))&
((?[X]:(brave(X)))<=>(?[X]:((~kind(X)<~>~happy(X)))))&
((?[X]:((rich(X)&generous(X))))<=>(calm(alice)))&
(![X]:((happy(X)|tall(X))<=>humble(X)))&
(![X]:((~happy(X)|rich(X))=>(funny(X)<~>rich(X))))&
(![X]:((patient(X)&old(X))<=>(humble(X)|~humble(X))))&
(![X]:((~quiet(X)|curious(X)... | tall(alice) | [
"p5",
"p6",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8392777759184786072392612
% SZS output start Proof for 8392777759184786072392612
6. ! [X0] : ((old(X0) & patient(X0)) <=> (~humble(X0) | humble(X0))) [input p5]
7. ! [X0] : ((curious(X0) | ~quiet(X0)) <=> (~patient(X0) | ~tall(X0))) [input p6]
15. ! [X0] : ((quiet(X0) | ~curious(X0)) => (... | 0 |
If john is humble then john is old.
If mary is not kind or not humble then someone is not brave and vice versa.
If mary is either wise or not generous then mary is not kind or not brave.
Everyone who is quiet or funny is not funny.
If someone is both generous and wise then fred is either not humble or not patient.
Ever... | John is funny. | contradiction | ((humble(john))=>(old(john)))&
(((~kind(mary)|~humble(mary)))<=>(?[X]:(~brave(X))))&
(((wise(mary)<~>~generous(mary)))=>((~kind(mary)|~brave(mary))))&
(![X]:((quiet(X)|funny(X))=>~funny(X)))&
((?[X]:((generous(X)&wise(X))))=>((~humble(fred)<~>~patient(fred))))&
(![X]:(~rich(X)=>(funny(X)&~quiet(X))))&
(![X]:((patient(X... | funny(john) | [
"p3",
"hypothesis"
] | % SZS status Unsatisfiable for 7380973191773878933185647
% SZS output start Proof for 7380973191773878933185647
4. ! [X0] : ((funny(X0) | quiet(X0)) => ~funny(X0)) [input p3]
21. funny(john) [input hypothesis]
28. ! [X0] : (~funny(X0) | (~funny(X0) & ~quiet(X0))) [ennf transformation 4]
65. ~funny(X0) | ~funny(X0) [cnf... | 0 |
Everyone who is either not tall or not patient is patient or not old. Everyone who is not quiet or wise is calm. If someone is not calm or quiet then alice is both generous and humble. Everyone who is either curious or tall is either not wise or not quiet. If someone is either kind or not kind then alice is kind or not... | Alice is not tall. | contradiction | (![X]:((~tall(X)<~>~patient(X))=>(patient(X)|~old(X))))&
(![X]:((~quiet(X)|wise(X))=>calm(X)))&
((?[X]:((~calm(X)|quiet(X))))=>((generous(alice)&humble(alice))))&
(![X]:((curious(X)<~>tall(X))=>(~wise(X)<~>~quiet(X))))&
((?[X]:((kind(X)<~>~kind(X))))=>((kind(alice)|~happy(alice))))&
(((~brave(mary)<~>tall(mary)))<=>((w... | ~tall(alice) | [
"p2",
"p3",
"p5",
"p7",
"p10",
"p12",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 354173516824782084824434
% SZS output start Proof for 354173516824782084824434
3. ? [X0] : (quiet(X0) | ~calm(X0)) => (humble(alice) & generous(alice)) [input p2]
4. ! [X0] : ((curious(X0) <~> tall(X0)) => (~wise(X0) <~> ~quiet(X0))) [input p3]
6. (~brave(mary) <~> tall(mary)) <=> (wise(a... | 0 |
Everyone who is both patient and not kind is not happy or not patient. Everyone who is generous is old or calm and vice versa. If someone is not wise or not creative then someone is both happy and not old. If someone is not strong or not funny then fred is brave or not rich. Everyone who is both calm and not tall is fu... | Lucy is not brave. | neutral | (![X]:((patient(X)&~kind(X))=>(~happy(X)|~patient(X))))&
(![X]:(generous(X)<=>(old(X)|calm(X))))&
((?[X]:((~wise(X)|~creative(X))))=>(?[X]:((happy(X)&~old(X)))))&
((?[X]:((~strong(X)|~funny(X))))=>((brave(fred)|~rich(fred))))&
(![X]:((calm(X)&~tall(X))<=>funny(X)))&
((?[X]:((happy(X)<~>tall(X))))=>(?[X]:((curious(X)&~c... | ~brave(lucy) | [] | null | 0 |
Everyone who is either not wise or humble is both not wise and wise. Everyone who is not calm or not funny is not happy or old and vice versa. If someone is both not funny and not kind then someone is either not generous or not funny. Everyone who is both not rich and not wise is either wise or not happy and vice versa... | Fred is brave. | neutral | (![X]:((~wise(X)<~>humble(X))=>(~wise(X)&wise(X))))&
(![X]:((~calm(X)|~funny(X))<=>(~happy(X)|old(X))))&
((?[X]:((~funny(X)&~kind(X))))=>(?[X]:((~generous(X)<~>~funny(X)))))&
(![X]:((~rich(X)&~wise(X))<=>(wise(X)<~>~happy(X))))&
(((~tall(fred)|~happy(fred)))=>(~patient(john)))&
(![X]:((happy(X)|curious(X))<=>(curious(X... | brave(fred) | [] | null | 0 |
If susan is both not calm and kind then mary is happy and vice versa.
Everyone who is both brave and strong is both curious and not humble and vice versa.
If mary is both not patient and not generous then paul is not funny or not kind.
If someone is funny or not generous then alice is both not humble and not happy and ... | John is old. | contradiction | (((~calm(susan)&kind(susan)))<=>(happy(mary)))&
(![X]:((brave(X)&strong(X))<=>(curious(X)&~humble(X))))&
(((~patient(mary)&~generous(mary)))=>((~funny(paul)|~kind(paul))))&
((?[X]:((funny(X)|~generous(X))))<=>((~humble(alice)&~happy(alice))))&
((~funny(alice))=>(~old(susan)))&
((tall(paul))<=>(?[X]:((~strong(X)|~brave(... | old(john) | [
"p6",
"p9",
"p10",
"p11",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 709983205817953260988907
% SZS output start Proof for 709983205817953260988907
7. ! [X0] : (strong(X0) <=> (funny(X0) & ~generous(X0))) [input p6]
10. ! [X0] : ((old(X0) & wise(X0)) <=> generous(X0)) [input p9]
11. ! [X0] : ((wise(X0) <~> ~generous(X0)) <=> (rich(X0) & funny(X0))) [input ... | 0 |
If someone is either not funny or not kind then someone is either creative or not kind and vice versa. Everyone who is both not happy and creative is both not creative and not happy and vice versa. If someone is either not creative or rich then alice is not wise or not kind and vice versa. If john is not humble or gene... | Fred is brave. | entailment | ((?[X]:((~funny(X)<~>~kind(X))))<=>(?[X]:((creative(X)<~>~kind(X)))))&
(![X]:((~happy(X)&creative(X))<=>(~creative(X)&~happy(X))))&
((?[X]:((~creative(X)<~>rich(X))))<=>((~wise(alice)|~kind(alice))))&
(((~humble(john)|generous(john)))=>(humble(mary)))&
(![X]:((~patient(X)<~>calm(X))<=>(kind(X)<~>calm(X))))&
((~patient(... | brave(fred) | [
"p0",
"p4",
"p6",
"p7",
"p9",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 8179272199425316111174574
% SZS output start Proof for 8179272199425316111174574
1. ? [X0] : (~funny(X0) <~> ~kind(X0)) <=> ? [X0] : (creative(X0) <~> ~kind(X0)) [input p0]
5. ! [X0] : ((~patient(X0) <~> calm(X0)) <=> (kind(X0) <~> calm(X0))) [input p4]
7. ! [X0] : ((~quiet(X0) & wise(X0)... | 0 |
If someone is both kind and not creative then someone is not creative or not wise and vice versa. If mary is both not quiet and not rich then someone is humble and vice versa. Everyone who is both happy and old is not calm. If fred is either not quiet or not tall then someone is both not quiet and old. If someone is ei... | John is brave. | contradiction | ((?[X]:((kind(X)&~creative(X))))<=>(?[X]:((~creative(X)|~wise(X)))))&
(((~quiet(mary)&~rich(mary)))<=>(?[X]:(humble(X))))&
(![X]:((happy(X)&old(X))=>~calm(X)))&
(((~quiet(fred)<~>~tall(fred)))=>(?[X]:((~quiet(X)&old(X)))))&
((?[X]:((~generous(X)<~>tall(X))))<=>((curious(john)&~generous(john))))&
(![X]:((quiet(X)|genero... | brave(john) | [
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2265370261134509294987062
% SZS output start Proof for 2265370261134509294987062
17. ~brave(john) [input p16]
25. brave(john) [input hypothesis]
142. ~brave(john) [cnf transformation 17]
153. brave(john) [cnf transformation 25]
377. $false [subsumption resolution 153,142]
% SZS output end... | 0 |
If someone is either not patient or curious then someone is either kind or quiet and vice versa.
Everyone who is both not happy and not wise is either quiet or curious.
If someone is happy then someone is both not strong and generous and vice versa.
Everyone who is either patient or not calm is both not quiet and not h... | Mary is quiet. | neutral | ((?[X]:((~patient(X)<~>curious(X))))<=>(?[X]:((kind(X)<~>quiet(X)))))&
(![X]:((~happy(X)&~wise(X))=>(quiet(X)<~>curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((patient(X)<~>~calm(X))=>(~quiet(X)&~happy(X))))&
(![X]:(~old(X)<=>generous(X)))&
(![X]:((~wise(X)&rich(X))<=>(generous(X)|~humbl... | quiet(mary) | [] | null | 0 |
If paul is both tall and quiet then lucy is generous and vice versa.
If someone is either not humble or brave then someone is both not curious and curious.
Everyone who is either generous or curious is either not kind or old.
Everyone who is not tall is either humble or not old and vice versa.
If alice is not humble th... | Paul is not patient. | contradiction | (((tall(paul)&quiet(paul)))<=>(generous(lucy)))&
((?[X]:((~humble(X)<~>brave(X))))=>(?[X]:((~curious(X)&curious(X)))))&
(![X]:((generous(X)<~>curious(X))=>(~kind(X)<~>old(X))))&
(![X]:(~tall(X)<=>(humble(X)<~>~old(X))))&
((~humble(alice))<=>((~quiet(alice)|creative(alice))))&
((?[X]:((patient(X)|~generous(X))))<=>(?[X]... | ~patient(paul) | [
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8326403102900162232422221
% SZS output start Proof for 8326403102900162232422221
9. ! [X0] : (patient(X0) <=> (wise(X0) | ~patient(X0))) [input p8]
24. ~patient(paul) [input hypothesis]
56. ! [X0] : ((patient(X0) | (~wise(X0) & patient(X0))) & ((wise(X0) | ~patient(X0)) | ~patient(X0))) [... | 0 |
If someone is either not patient or curious then someone is either kind or quiet and vice versa.
Everyone who is both not happy and not wise is either quiet or curious.
If someone is happy then someone is both not strong and generous and vice versa.
Everyone who is either patient or not calm is both not quiet and not h... | Mary is not quiet. | neutral | ((?[X]:((~patient(X)<~>curious(X))))<=>(?[X]:((kind(X)<~>quiet(X)))))&
(![X]:((~happy(X)&~wise(X))=>(quiet(X)<~>curious(X))))&
((?[X]:(happy(X)))<=>(?[X]:((~strong(X)&generous(X)))))&
(![X]:((patient(X)<~>~calm(X))=>(~quiet(X)&~happy(X))))&
(![X]:(~old(X)<=>generous(X)))&
(![X]:((~wise(X)&rich(X))<=>(generous(X)|~humbl... | ~quiet(mary) | [] | null | 0 |
If john is strong or not happy then someone is either tall or not brave and vice versa.
If someone is happy or not rich then fred is not curious or not happy and vice versa.
If mary is tall or not old then someone is both wise and not creative.
Everyone who is not patient is both generous and not strong and vice versa.... | Fred is not rich. | entailment | (((strong(john)|~happy(john)))<=>(?[X]:((tall(X)<~>~brave(X)))))&
((?[X]:((happy(X)|~rich(X))))<=>((~curious(fred)|~happy(fred))))&
(((tall(mary)|~old(mary)))=>(?[X]:((wise(X)&~creative(X)))))&
(![X]:(~patient(X)<=>(generous(X)&~strong(X))))&
(![X]:((~rich(X)<~>old(X))<=>(brave(X)|~curious(X))))&
(((~wise(paul)<~>~gene... | ~rich(fred) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 9106293278379555865458304
% SZS output start Proof for 9106293278379555865458304
7. ! [X0] : ((strong(X0) & ~strong(X0)) <=> (rich(X0) & ~happy(X0))) [input p6]
8. ! [X0] : ((~tall(X0) <~> tall(X0)) => ~happy(X0)) [input p7]
24. rich(fred) [input hypothesis]
32. ! [X0] : (~happy(X0) | (~t... | 0 |
Everyone who is kind or not funny is both strong and curious.
If lucy is not generous then someone is not rich and vice versa.
If someone is both humble and not calm then fred is both not quiet and not calm.
If someone is not humble or brave then someone is both wise and strong and vice versa.
Everyone who is not curio... | Susan is kind. | contradiction | (![X]:((kind(X)|~funny(X))=>(strong(X)&curious(X))))&
((~generous(lucy))<=>(?[X]:(~rich(X))))&
((?[X]:((humble(X)&~calm(X))))=>((~quiet(fred)&~calm(fred))))&
((?[X]:((~humble(X)|brave(X))))<=>(?[X]:((wise(X)&strong(X)))))&
(![X]:(~curious(X)<=>(humble(X)&calm(X))))&
(![X]:((old(X)<~>creative(X))<=>(~kind(X)&~curious(X)... | kind(susan) | [
"p0",
"p11",
"p14",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 834326917113728856181800
% SZS output start Proof for 834326917113728856181800
1. ! [X0] : ((~funny(X0) | kind(X0)) => (curious(X0) & strong(X0))) [input p0]
12. ! [X0] : ((~old(X0) & brave(X0)) <=> kind(X0)) [input p11]
15. ? [X0] : (strong(X0) <~> ~brave(X0)) => (~curious(john) & wise(j... | 0 |
Everyone who is either old or not old is both funny and patient and vice versa.
Everyone who is curious is kind or brave.
If someone is both not wise and not patient then someone is either creative or rich.
Everyone who is humble or quiet is not rich and vice versa.
Everyone who is not wise is both curious and creative... | Lucy is not humble. | contradiction | (![X]:((old(X)<~>~old(X))<=>(funny(X)&patient(X))))&
(![X]:(curious(X)=>(kind(X)|brave(X))))&
((?[X]:((~wise(X)&~patient(X))))=>(?[X]:((creative(X)<~>rich(X)))))&
(![X]:((humble(X)|quiet(X))<=>~rich(X)))&
(![X]:(~wise(X)<=>(curious(X)&creative(X))))&
((?[X]:((wise(X)|~kind(X))))<=>(?[X]:((~calm(X)&patient(X)))))&
(![X]... | ~humble(lucy) | [
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 237533104297936579676167
% SZS output start Proof for 237533104297936579676167
13. ! [X0] : (~humble(X0) => (funny(X0) & humble(X0))) [input p12]
22. ~humble(lucy) [input hypothesis]
32. ! [X0] : ((funny(X0) & humble(X0)) | humble(X0)) [ennf transformation 13]
114. humble(X0) | humble(X0)... | 0 |
If alice is kind then alice is both humble and tall.
If mary is not old or creative then mary is patient and vice versa.
Everyone who is not brave is tall.
If someone is not kind or happy then mary is not quiet or not strong and vice versa.
If someone is both quiet and not old then john is not quiet and vice versa.
If ... | Paul is not brave. | neutral | ((kind(alice))=>((humble(alice)&tall(alice))))&
(((~old(mary)|creative(mary)))<=>(patient(mary)))&
(![X]:(~brave(X)=>tall(X)))&
((?[X]:((~kind(X)|happy(X))))<=>((~quiet(mary)|~strong(mary))))&
((?[X]:((quiet(X)&~old(X))))<=>(~quiet(john)))&
(((humble(mary)|~patient(mary)))<=>((happy(fred)|brave(fred))))&
((?[X]:((rich(... | ~brave(paul) | [] | null | 0 |
If john is both not funny and not calm then someone is either generous or not quiet and vice versa.
If someone is both not old and not quiet then someone is both strong and not strong and vice versa.
Everyone who is not curious or not wise is both humble and quiet.
If john is either not tall or strong then someone is q... | Fred is not humble. | contradiction | (((~funny(john)&~calm(john)))<=>(?[X]:((generous(X)<~>~quiet(X)))))&
((?[X]:((~old(X)&~quiet(X))))<=>(?[X]:((strong(X)&~strong(X)))))&
(![X]:((~curious(X)|~wise(X))=>(humble(X)&quiet(X))))&
(((~tall(john)<~>strong(john)))=>(?[X]:((quiet(X)|~generous(X)))))&
(![X]:((~calm(X)<~>creative(X))<=>(creative(X)<~>~brave(X))))&... | ~humble(fred) | [
"p2",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6380786928526812643830740
% SZS output start Proof for 6380786928526812643830740
3. ! [X0] : ((~wise(X0) | ~curious(X0)) => (quiet(X0) & humble(X0))) [input p2]
10. ! [X0] : ((funny(X0) | curious(X0)) <=> (humble(X0) & curious(X0))) [input p9]
25. ~humble(fred) [input hypothesis]
27. ! [X... | 0 |
Everyone who is happy or not old is both not creative and not brave and vice versa.
Everyone who is either not happy or brave is kind and vice versa.
If someone is not funny then fred is not tall.
Everyone who is rich or kind is calm and vice versa.
Everyone who is calm or funny is not tall and vice versa.
Everyone who... | Paul is not brave. | contradiction | (![X]:((happy(X)|~old(X))<=>(~creative(X)&~brave(X))))&
(![X]:((~happy(X)<~>brave(X))<=>kind(X)))&
((?[X]:(~funny(X)))=>(~tall(fred)))&
(![X]:((rich(X)|kind(X))<=>calm(X)))&
(![X]:((calm(X)|funny(X))<=>~tall(X)))&
(![X]:(strong(X)=>(~calm(X)<~>~strong(X))))&
((~calm(paul))<=>(?[X]:((calm(X)|~funny(X)))))&
((?[X]:((wise... | ~brave(paul) | [
"p3",
"p6",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 6695626388727334607849277
% SZS output start Proof for 6695626388727334607849277
4. ! [X0] : ((kind(X0) | rich(X0)) <=> calm(X0)) [input p3]
7. ~calm(paul) <=> ? [X0] : (~funny(X0) | calm(X0)) [input p6]
12. ! [X0] : (~rich(X0) <=> (~calm(X0) & brave(X0))) [input p11]
24. ~brave(paul) [in... | 0 |
Everyone who is either not wise or kind is both creative and calm and vice versa. If someone is both kind and not brave then alice is both old and not strong. If someone is patient then john is rich. If mary is funny then someone is not wise or not strong. Everyone who is curious or not old is brave or not wise. Everyo... | Susan is not brave. | entailment | (![X]:((~wise(X)<~>kind(X))<=>(creative(X)&calm(X))))&
((?[X]:((kind(X)&~brave(X))))=>((old(alice)&~strong(alice))))&
((?[X]:(patient(X)))=>(rich(john)))&
((funny(mary))=>(?[X]:((~wise(X)|~strong(X)))))&
(![X]:((curious(X)|~old(X))=>(brave(X)|~wise(X))))&
(![X]:(tall(X)<=>~generous(X)))&
(![X]:(brave(X)<=>patient(X)))&... | ~brave(susan) | [
"p6",
"p7",
"p8",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 2038519155819746600933478
% SZS output start Proof for 2038519155819746600933478
7. ! [X0] : (brave(X0) <=> patient(X0)) [input p6]
8. ! [X0] : ((patient(X0) <~> ~strong(X0)) <=> (brave(X0) & ~calm(X0))) [input p7]
9. ! [X0] : (~strong(X0) <=> (~calm(X0) | kind(X0))) [input p8]
13. ! [X0]... | 0 |
If susan is creative or calm then john is creative.
Everyone who is tall is old or rich and vice versa.
Everyone who is not humble or not creative is calm or not quiet and vice versa.
Everyone who is either not funny or strong is not strong and vice versa.
If mary is happy then john is either not wise or not generous a... | Susan is not patient. | neutral | (((creative(susan)|calm(susan)))=>(creative(john)))&
(![X]:(tall(X)<=>(old(X)|rich(X))))&
(![X]:((~humble(X)|~creative(X))<=>(calm(X)|~quiet(X))))&
(![X]:((~funny(X)<~>strong(X))<=>~strong(X)))&
((happy(mary))<=>((~wise(john)<~>~generous(john))))&
(![X]:((wise(X)&strong(X))=>(~wise(X)|~rich(X))))&
((?[X]:((~rich(X)|~ca... | ~patient(susan) | [] | null | 0 |
Everyone who is not wise is kind or not calm.
Everyone who is not kind or not funny is both funny and not old.
If someone is both generous and not rich then someone is not generous or not happy and vice versa.
Everyone who is rich is not patient.
Everyone who is both not kind and curious is either quiet or not old and ... | Mary is not brave. | contradiction | (![X]:(~wise(X)=>(kind(X)|~calm(X))))&
(![X]:((~kind(X)|~funny(X))=>(funny(X)&~old(X))))&
((?[X]:((generous(X)&~rich(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(rich(X)=>~patient(X)))&
(![X]:((~kind(X)&curious(X))<=>(quiet(X)<~>~old(X))))&
(((creative(paul)&~strong(paul)))<=>(creative(alice)))&
(![X]:(old(X)=>(~... | ~brave(mary) | [
"p1",
"p4",
"p6",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5363619838491796274931097
% SZS output start Proof for 5363619838491796274931097
2. ! [X0] : ((~funny(X0) | ~kind(X0)) => (~old(X0) & funny(X0))) [input p1]
5. ! [X0] : ((curious(X0) & ~kind(X0)) <=> (quiet(X0) <~> ~old(X0))) [input p4]
7. ! [X0] : (old(X0) => (~brave(X0) <~> ~quiet(X0)))... | 0 |
Everyone who is either kind or not strong is either not generous or kind.
Everyone who is both not humble and quiet is calm or not rich.
If mary is either quiet or not happy then mary is both rich and creative and vice versa.
If someone is either brave or not funny then someone is both strong and not tall and vice vers... | Mary is creative. | entailment | (![X]:((kind(X)<~>~strong(X))=>(~generous(X)<~>kind(X))))&
(![X]:((~humble(X)&quiet(X))=>(calm(X)|~rich(X))))&
(((quiet(mary)<~>~happy(mary)))<=>((rich(mary)&creative(mary))))&
((?[X]:((brave(X)<~>~funny(X))))<=>(?[X]:((strong(X)&~tall(X)))))&
(![X]:((funny(X)&happy(X))=>(tall(X)|~kind(X))))&
((?[X]:(curious(X)))=>((ri... | creative(mary) | [
"p12",
"p15",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1952208179988469515169531
% SZS output start Proof for 1952208179988469515169531
13. ! [X0] : ((~old(X0) | quiet(X0)) <=> (~creative(X0) <~> ~old(X0))) [input p12]
16. ! [X0] : ((strong(X0) | ~brave(X0)) <=> (~quiet(X0) & brave(X0))) [input p15]
23. strong(mary) [input p22]
25. ~creative(... | 0 |
If someone is not creative or funny then someone is both generous and curious and vice versa.
Everyone who is either humble or not humble is not curious or calm.
Everyone who is creative or patient is either not generous or generous.
If john is either humble or not funny then fred is both calm and curious.
Everyone who... | John is wise. | entailment | ((?[X]:((~creative(X)|funny(X))))<=>(?[X]:((generous(X)&curious(X)))))&
(![X]:((humble(X)<~>~humble(X))=>(~curious(X)|calm(X))))&
(![X]:((creative(X)|patient(X))=>(~generous(X)<~>generous(X))))&
(((humble(john)<~>~funny(john)))=>((calm(fred)&curious(fred))))&
(![X]:((humble(X)&~old(X))<=>(~wise(X)|quiet(X))))&
(![X]:(~... | wise(john) | [
"p4",
"p5",
"p11",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1373500992949028963823003
% SZS output start Proof for 1373500992949028963823003
5. ! [X0] : ((~old(X0) & humble(X0)) <=> (quiet(X0) | ~wise(X0))) [input p4]
6. ! [X0] : (~curious(X0) => (generous(X0) <~> ~patient(X0))) [input p5]
12. ! [X0] : ((humble(X0) <~> ~generous(X0)) <=> (~quiet(X... | 0 |
Everyone who is both not kind and generous is kind or old.
Everyone who is both happy and not kind is not generous or not calm.
Everyone who is either kind or rich is tall or not strong and vice versa.
If someone is not happy or not curious then john is not humble.
If someone is not rich then someone is either tall or ... | John is not creative. | neutral | (![X]:((~kind(X)&generous(X))=>(kind(X)|old(X))))&
(![X]:((happy(X)&~kind(X))=>(~generous(X)|~calm(X))))&
(![X]:((kind(X)<~>rich(X))<=>(tall(X)|~strong(X))))&
((?[X]:((~happy(X)|~curious(X))))=>(~humble(john)))&
((?[X]:(~rich(X)))=>(?[X]:((tall(X)<~>~wise(X)))))&
(![X]:((happy(X)<~>curious(X))<=>creative(X)))&
(![X]:((... | ~creative(john) | [] | null | 0 |
Everyone who is not rich is both not curious and happy.
If fred is not patient then someone is not humble.
If someone is both rich and tall then someone is both humble and not curious.
Everyone who is both humble and not tall is both not creative and not funny and vice versa.
If someone is patient or generous then some... | Fred is not rich. | contradiction | (![X]:(~rich(X)=>(~curious(X)&happy(X))))&
((~patient(fred))=>(?[X]:(~humble(X))))&
((?[X]:((rich(X)&tall(X))))=>(?[X]:((humble(X)&~curious(X)))))&
(![X]:((humble(X)&~tall(X))<=>(~creative(X)&~funny(X))))&
((?[X]:((patient(X)|generous(X))))=>(?[X]:(happy(X))))&
((?[X]:((humble(X)<~>tall(X))))<=>(?[X]:((old(X)<~>quiet(X... | ~rich(fred) | [
"p0",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 274749609239245452118984
% SZS output start Proof for 274749609239245452118984
1. ! [X0] : (~rich(X0) => (happy(X0) & ~curious(X0))) [input p0]
7. ! [X0] : ((~rich(X0) & ~curious(X0)) => (~tall(X0) & tall(X0))) [input p6]
24. ~rich(fred) [input hypothesis]
30. ! [X0] : ((happy(X0) & ~curi... | 0 |
Everyone who is generous or not patient is both not patient and old.
If someone is either calm or quiet then someone is both not old and happy.
Everyone who is wise or tall is humble and vice versa.
If someone is not tall then someone is old or calm and vice versa.
If someone is either generous or happy then someone is... | John is rich. | entailment | (![X]:((generous(X)|~patient(X))=>(~patient(X)&old(X))))&
((?[X]:((calm(X)<~>quiet(X))))=>(?[X]:((~old(X)&happy(X)))))&
(![X]:((wise(X)|tall(X))<=>humble(X)))&
((?[X]:(~tall(X)))<=>(?[X]:((old(X)|calm(X)))))&
((?[X]:((generous(X)<~>happy(X))))=>(?[X]:((strong(X)<~>creative(X)))))&
(![X]:(~old(X)<=>(kind(X)|~rich(X))))&... | rich(john) | [
"p0",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3373252497490570641193304
% SZS output start Proof for 3373252497490570641193304
1. ! [X0] : ((~patient(X0) | generous(X0)) => (old(X0) & ~patient(X0))) [input p0]
8. ! [X0] : (patient(X0) <=> ~rich(X0)) [input p7]
16. ! [X0] : ((~wise(X0) <~> rich(X0)) <=> (~generous(X0) <~> ~wise(X0))) ... | 0 |
If fred is not tall then someone is not kind or kind and vice versa. Everyone who is rich or not happy is either not curious or not calm and vice versa. Everyone who is calm is either curious or strong. If mary is curious or kind then paul is not patient. Everyone who is not strong or patient is not generous and vice v... | Paul is not kind. | neutral | ((~tall(fred))<=>(?[X]:((~kind(X)|kind(X)))))&
(![X]:((rich(X)|~happy(X))<=>(~curious(X)<~>~calm(X))))&
(![X]:(calm(X)=>(curious(X)<~>strong(X))))&
(((curious(mary)|kind(mary)))=>(~patient(paul)))&
(![X]:((~strong(X)|patient(X))<=>~generous(X)))&
(((wise(lucy)|funny(lucy)))<=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~humbl... | ~kind(paul) | [] | null | 0 |
If susan is either not generous or funny then someone is either rich or quiet and vice versa. Everyone who is not tall or not humble is either not curious or quiet. Everyone who is old is not quiet. If lucy is either quiet or tall then someone is both tall and strong and vice versa. If lucy is either not old or quiet t... | John is not quiet. | contradiction | (((~generous(susan)<~>funny(susan)))<=>(?[X]:((rich(X)<~>quiet(X)))))&
(![X]:((~tall(X)|~humble(X))=>(~curious(X)<~>quiet(X))))&
(![X]:(old(X)=>~quiet(X)))&
(((quiet(lucy)<~>tall(lucy)))<=>(?[X]:((tall(X)&strong(X)))))&
(((~old(lucy)<~>quiet(lucy)))=>(?[X]:((~quiet(X)&humble(X)))))&
(![X]:((~brave(X)<~>~old(X))<=>(~hum... | ~quiet(john) | [
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 5868208868754473805911447
% SZS output start Proof for 5868208868754473805911447
7. ! [X0] : (happy(X0) <=> (~happy(X0) <~> quiet(X0))) [input p6]
25. ~quiet(john) [input hypothesis]
54. ! [X0] : ((happy(X0) | ((~happy(X0) | ~quiet(X0)) & (quiet(X0) | happy(X0)))) & (((~quiet(X0) | happy(... | 0 |
Everyone who is curious or kind is both curious and not brave.
Everyone who is funny or quiet is not quiet and vice versa.
If someone is not old or not curious then someone is both not tall and not rich and vice versa.
If john is not calm then someone is either patient or generous.
If paul is both quiet and funny then ... | Paul is not funny. | contradiction | (![X]:((curious(X)|kind(X))=>(curious(X)&~brave(X))))&
(![X]:((funny(X)|quiet(X))<=>~quiet(X)))&
((?[X]:((~old(X)|~curious(X))))<=>(?[X]:((~tall(X)&~rich(X)))))&
((~calm(john))=>(?[X]:((patient(X)<~>generous(X)))))&
(((quiet(paul)&funny(paul)))=>((brave(lucy)&~old(lucy))))&
((?[X]:(~kind(X)))=>(?[X]:((funny(X)|~calm(X)... | ~funny(paul) | [
"p1",
"hypothesis"
] | % SZS status Unsatisfiable for 432931371357298852144752
% SZS output start Proof for 432931371357298852144752
2. ! [X0] : ((quiet(X0) | funny(X0)) <=> ~quiet(X0)) [input p1]
24. ~funny(paul) [input hypothesis]
43. ! [X0] : (((quiet(X0) | funny(X0)) | quiet(X0)) & (~quiet(X0) | (~quiet(X0) & ~funny(X0)))) [nnf transform... | 0 |
Everyone who is both funny and not humble is not strong or not brave.
If someone is both brave and not brave then someone is either not wise or old and vice versa.
Everyone who is wise is both calm and brave and vice versa.
Everyone who is funny or brave is not happy and vice versa.
Everyone who is either not curious o... | Susan is not brave. | entailment | (![X]:((funny(X)&~humble(X))=>(~strong(X)|~brave(X))))&
((?[X]:((brave(X)&~brave(X))))<=>(?[X]:((~wise(X)<~>old(X)))))&
(![X]:(wise(X)<=>(calm(X)&brave(X))))&
(![X]:((funny(X)|brave(X))<=>~happy(X)))&
(![X]:((~curious(X)<~>~creative(X))=>(~calm(X)<~>old(X))))&
(![X]:((~creative(X)<~>~generous(X))=>(calm(X)|~kind(X))))&... | ~brave(susan) | [
"p2",
"p3",
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 1980112450290846830686195
% SZS output start Proof for 1980112450290846830686195
3. ! [X0] : (wise(X0) <=> (brave(X0) & calm(X0))) [input p2]
4. ! [X0] : ((brave(X0) | funny(X0)) <=> ~happy(X0)) [input p3]
7. ! [X0] : ((~happy(X0) | curious(X0)) <=> wise(X0)) [input p6]
8. ! [X0] : (~wise... | 0 |
If someone is either happy or not brave then susan is wise or not creative. If someone is either not funny or strong then someone is both tall and creative and vice versa. If someone is both not happy and wise then someone is both not curious and not creative. If someone is both strong and quiet then someone is not gen... | Susan is creative. | entailment | ((?[X]:((happy(X)<~>~brave(X))))=>((wise(susan)|~creative(susan))))&
((?[X]:((~funny(X)<~>strong(X))))<=>(?[X]:((tall(X)&creative(X)))))&
((?[X]:((~happy(X)&wise(X))))=>(?[X]:((~curious(X)&~creative(X)))))&
((?[X]:((strong(X)&quiet(X))))<=>(?[X]:((~generous(X)|~happy(X)))))&
(![X]:(~humble(X)=>(~funny(X)<~>~quiet(X))))... | creative(susan) | [
"p3",
"p5",
"p7",
"p10",
"p11",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 4657300390481822948799390
% SZS output start Proof for 4657300390481822948799390
4. ? [X0] : (quiet(X0) & strong(X0)) <=> ? [X0] : (~happy(X0) | ~generous(X0)) [input p3]
6. ? [X0] : (~generous(X0) | ~patient(X0)) <=> ? [X0] : (~generous(X0) <~> wise(X0)) [input p5]
8. ! [X0] : ((~strong(... | 0 |
If someone is wise then someone is not old or kind and vice versa.
Everyone who is not creative or not brave is not calm or not kind.
Everyone who is wise is rich and vice versa.
Everyone who is not old or not calm is tall and vice versa.
If someone is not happy then alice is not brave or not curious.
If someone is not... | Mary is not rich. | contradiction | ((?[X]:(wise(X)))<=>(?[X]:((~old(X)|kind(X)))))&
(![X]:((~creative(X)|~brave(X))=>(~calm(X)|~kind(X))))&
(![X]:(wise(X)<=>rich(X)))&
(![X]:((~old(X)|~calm(X))<=>tall(X)))&
((?[X]:(~happy(X)))=>((~brave(alice)|~curious(alice))))&
((?[X]:((~funny(X)|strong(X))))<=>((~creative(paul)&brave(paul))))&
(![X]:((rich(X)&quiet(X... | ~rich(mary) | [
"p6",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4175780223165224219942368
% SZS output start Proof for 4175780223165224219942368
7. ! [X0] : ((quiet(X0) & rich(X0)) <=> (generous(X0) | ~creative(X0))) [input p6]
17. ~creative(mary) [input p16]
25. ~rich(mary) [input hypothesis]
53. ! [X0] : (((quiet(X0) & rich(X0)) | (~generous(X0) & c... | 0 |
Everyone who is both quiet and calm is not calm and vice versa. Everyone who is both generous and calm is rich. Everyone who is not quiet or not strong is either not old or wise and vice versa. If john is either not kind or brave then someone is both creative and not funny and vice versa. Everyone who is both old and w... | Susan is quiet. | contradiction | (![X]:((quiet(X)&calm(X))<=>~calm(X)))&
(![X]:((generous(X)&calm(X))=>rich(X)))&
(![X]:((~quiet(X)|~strong(X))<=>(~old(X)<~>wise(X))))&
(((~kind(john)<~>brave(john)))<=>(?[X]:((creative(X)&~funny(X)))))&
(![X]:((old(X)&wise(X))=>(~old(X)<~>brave(X))))&
((?[X]:(patient(X)))<=>(?[X]:((~patient(X)<~>quiet(X)))))&
(![X]:(~... | quiet(susan) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 1388344830086513911383428
% SZS output start Proof for 1388344830086513911383428
1. ! [X0] : ((calm(X0) & quiet(X0)) <=> ~calm(X0)) [input p0]
25. quiet(susan) [input hypothesis]
40. ! [X0] : (((calm(X0) & quiet(X0)) | calm(X0)) & (~calm(X0) | (~calm(X0) | ~quiet(X0)))) [nnf transformatio... | 0 |
Everyone who is both kind and not curious is not quiet and vice versa.
If someone is not calm then someone is either not funny or calm and vice versa.
Everyone who is either quiet or rich is not wise and vice versa.
Everyone who is calm is not humble or not tall and vice versa.
If susan is not rich or not funny then fr... | Susan is not quiet. | entailment | (![X]:((kind(X)&~curious(X))<=>~quiet(X)))&
((?[X]:(~calm(X)))<=>(?[X]:((~funny(X)<~>calm(X)))))&
(![X]:((quiet(X)<~>rich(X))<=>~wise(X)))&
(![X]:(calm(X)<=>(~humble(X)|~tall(X))))&
(((~rich(susan)|~funny(susan)))=>(~calm(fred)))&
(![X]:(brave(X)<=>kind(X)))&
(((happy(alice)&~quiet(alice)))<=>((~tall(alice)|~brave(alic... | ~quiet(susan) | [
"p0",
"p2",
"p3",
"p7",
"p8",
"p9",
"p10",
"p12",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 5251924880161879682594855
% SZS output start Proof for 5251924880161879682594855
1. ! [X0] : ((~curious(X0) & kind(X0)) <=> ~quiet(X0)) [input p0]
3. ! [X0] : ((quiet(X0) <~> rich(X0)) <=> ~wise(X0)) [input p2]
4. ! [X0] : (calm(X0) <=> (~tall(X0) | ~humble(X0))) [input p3]
8. ! [X0] : (~... | 0 |
If someone is both not happy and curious then someone is either not humble or not quiet and vice versa. If fred is patient or not rich then alice is not wise. If fred is not brave or not old then someone is both kind and not strong. If susan is either kind or funny then susan is not patient. Everyone who is both not cu... | Fred is rich. | neutral | ((?[X]:((~happy(X)&curious(X))))<=>(?[X]:((~humble(X)<~>~quiet(X)))))&
(((patient(fred)|~rich(fred)))=>(~wise(alice)))&
(((~brave(fred)|~old(fred)))=>(?[X]:((kind(X)&~strong(X)))))&
(((kind(susan)<~>funny(susan)))=>(~patient(susan)))&
(![X]:((~curious(X)&~tall(X))<=>(~kind(X)<~>~quiet(X))))&
((?[X]:((~humble(X)|calm(X)... | rich(fred) | [] | null | 0 |
Everyone who is not funny is not brave.
Everyone who is both not tall and happy is either not funny or generous and vice versa.
Everyone who is either not old or not strong is either curious or not rich and vice versa.
Everyone who is either not humble or patient is funny.
If fred is not humble or not kind then fred is... | Susan is not happy. | neutral | (![X]:(~funny(X)=>~brave(X)))&
(![X]:((~tall(X)&happy(X))<=>(~funny(X)<~>generous(X))))&
(![X]:((~old(X)<~>~strong(X))<=>(curious(X)<~>~rich(X))))&
(![X]:((~humble(X)<~>patient(X))=>funny(X)))&
(((~humble(fred)|~kind(fred)))<=>((~rich(fred)|wise(fred))))&
((?[X]:((~old(X)&~tall(X))))<=>(~old(alice)))&
(((happy(paul)<~>... | ~happy(susan) | [] | null | 0 |
Everyone who is not strong or not curious is wise.
If lucy is both not patient and happy then susan is tall.
Everyone who is either calm or quiet is not old or not humble.
Everyone who is not humble is both not rich and calm and vice versa.
Everyone who is not kind is not rich and vice versa.
If paul is strong or quiet... | Lucy is generous. | neutral | (![X]:((~strong(X)|~curious(X))=>wise(X)))&
(((~patient(lucy)&happy(lucy)))=>(tall(susan)))&
(![X]:((calm(X)<~>quiet(X))=>(~old(X)|~humble(X))))&
(![X]:(~humble(X)<=>(~rich(X)&calm(X))))&
(![X]:(~kind(X)<=>~rich(X)))&
(((strong(paul)|quiet(paul)))<=>(?[X]:((~strong(X)&~humble(X)))))&
(((~creative(fred)|~brave(fred)))<=... | generous(lucy) | [] | null | 0 |
Everyone who is both not curious and kind is both curious and quiet and vice versa. Everyone who is either quiet or calm is both brave and kind and vice versa. Everyone who is both tall and old is funny or generous and vice versa. If someone is either not patient or creative then someone is not calm. If someone is eith... | Susan is rich. | entailment | (![X]:((~curious(X)&kind(X))<=>(curious(X)&quiet(X))))&
(![X]:((quiet(X)<~>calm(X))<=>(brave(X)&kind(X))))&
(![X]:((tall(X)&old(X))<=>(funny(X)|generous(X))))&
((?[X]:((~patient(X)<~>creative(X))))=>(?[X]:(~calm(X))))&
((?[X]:((curious(X)<~>~kind(X))))=>(?[X]:((~old(X)&generous(X)))))&
(![X]:((~generous(X)|generous(X))... | rich(susan) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 803017991412762212772450
% SZS output start Proof for 803017991412762212772450
6. ! [X0] : ((generous(X0) | ~generous(X0)) <=> (rich(X0) & ~calm(X0))) [input p5]
23. ~rich(susan) [input hypothesis]
54. ! [X0] : (((generous(X0) | ~generous(X0)) | (~rich(X0) | calm(X0))) & ((rich(X0) & ~cal... | 0 |
If someone is not funny or generous then alice is both not old and quiet. If someone is not humble or not brave then mary is curious or tall. Everyone who is not wise is not rich and vice versa. Everyone who is either not creative or brave is quiet and vice versa. If someone is both not creative and not kind then susan... | John is not happy. | neutral | ((?[X]:((~funny(X)|generous(X))))=>((~old(alice)&quiet(alice))))&
((?[X]:((~humble(X)|~brave(X))))=>((curious(mary)|tall(mary))))&
(![X]:(~wise(X)<=>~rich(X)))&
(![X]:((~creative(X)<~>brave(X))<=>quiet(X)))&
((?[X]:((~creative(X)&~kind(X))))<=>(happy(susan)))&
(![X]:((calm(X)|kind(X))<=>curious(X)))&
((?[X]:(rich(X)))=... | ~happy(john) | [] | null | 0 |
Everyone who is not generous is not happy and vice versa.
Everyone who is both not generous and not old is old or tall.
Everyone who is either creative or calm is either not funny or curious.
If paul is not curious or not tall then someone is both not curious and not old.
Everyone who is old or not quiet is both not ha... | Paul is not strong. | entailment | (![X]:(~generous(X)<=>~happy(X)))&
(![X]:((~generous(X)&~old(X))=>(old(X)|tall(X))))&
(![X]:((creative(X)<~>calm(X))=>(~funny(X)<~>curious(X))))&
(((~curious(paul)|~tall(paul)))=>(?[X]:((~curious(X)&~old(X)))))&
(![X]:((old(X)|~quiet(X))=>(~happy(X)&funny(X))))&
(![X]:(~tall(X)=>(~wise(X)<~>wise(X))))&
(![X]:((strong(X... | ~strong(paul) | [
"p0",
"p6",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 2568779420028710313432378
% SZS output start Proof for 2568779420028710313432378
1. ! [X0] : (~generous(X0) <=> ~happy(X0)) [input p0]
7. ! [X0] : ((strong(X0) <~> ~generous(X0)) => ~happy(X0)) [input p6]
22. generous(paul) [input p21]
25. strong(paul) [input hypothesis]
37. ! [X0] : (~ha... | 0 |
If susan is either strong or funny then someone is not wise or not tall. Everyone who is brave is either wise or not happy and vice versa. Everyone who is both not tall and happy is kind or not curious and vice versa. Everyone who is not tall is both not tall and funny and vice versa. If lucy is not calm or not creativ... | Alice is not tall. | contradiction | (((strong(susan)<~>funny(susan)))=>(?[X]:((~wise(X)|~tall(X)))))&
(![X]:(brave(X)<=>(wise(X)<~>~happy(X))))&
(![X]:((~tall(X)&happy(X))<=>(kind(X)|~curious(X))))&
(![X]:(~tall(X)<=>(~tall(X)&funny(X))))&
(((~calm(lucy)|~creative(lucy)))<=>(?[X]:(calm(X))))&
(![X]:((tall(X)<~>kind(X))<=>humble(X)))&
(((~brave(lucy)|calm... | ~tall(alice) | [
"p1",
"p2",
"p3",
"p9",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 6638736990586116257204364
% SZS output start Proof for 6638736990586116257204364
2. ! [X0] : (brave(X0) <=> (wise(X0) <~> ~happy(X0))) [input p1]
3. ! [X0] : ((happy(X0) & ~tall(X0)) <=> (~curious(X0) | kind(X0))) [input p2]
4. ! [X0] : (~tall(X0) <=> (funny(X0) & ~tall(X0))) [input p3]
1... | 0 |
Everyone who is either generous or tall is either not rich or not happy and vice versa. If mary is not funny then someone is not happy and vice versa. Everyone who is either wise or quiet is quiet or happy. If someone is either strong or not generous then someone is creative. If lucy is both happy and wise then someone... | Alice is happy. | entailment | (![X]:((generous(X)<~>tall(X))<=>(~rich(X)<~>~happy(X))))&
((~funny(mary))<=>(?[X]:(~happy(X))))&
(![X]:((wise(X)<~>quiet(X))=>(quiet(X)|happy(X))))&
((?[X]:((strong(X)<~>~generous(X))))=>(?[X]:(creative(X))))&
(((happy(lucy)&wise(lucy)))=>(?[X]:(~strong(X))))&
(![X]:((funny(X)|~generous(X))<=>(quiet(X)|rich(X))))&
(((... | happy(alice) | [
"p8",
"p9",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8657671099189882173170956
% SZS output start Proof for 8657671099189882173170956
9. ! [X0] : ((~calm(X0) | creative(X0)) => (~tall(X0) & ~happy(X0))) [input p8]
10. ! [X0] : (patient(X0) <=> ~tall(X0)) [input p9]
16. ! [X0] : (tall(X0) => (happy(X0) | ~calm(X0))) [input p15]
20. ~strong(a... | 0 |
If paul is either not kind or old then mary is not happy or not humble. If mary is both quiet and not kind then mary is wise or old and vice versa. If susan is either not brave or not happy then alice is both not wise and happy. If lucy is funny then someone is humble or calm. If someone is either quiet or not rich the... | Lucy is not patient. | entailment | (((~kind(paul)<~>old(paul)))=>((~happy(mary)|~humble(mary))))&
(((quiet(mary)&~kind(mary)))<=>((wise(mary)|old(mary))))&
(((~brave(susan)<~>~happy(susan)))=>((~wise(alice)&happy(alice))))&
((funny(lucy))=>(?[X]:((humble(X)|calm(X)))))&
((?[X]:((quiet(X)<~>~rich(X))))<=>(?[X]:((tall(X)|calm(X)))))&
(![X]:((patient(X)&br... | ~patient(lucy) | [
"p6",
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 3416428899657058459303760
% SZS output start Proof for 3416428899657058459303760
7. ! [X0] : ((~funny(X0) | ~happy(X0)) <=> (happy(X0) & quiet(X0))) [input p6]
8. ! [X0] : ((~happy(X0) <~> ~patient(X0)) <=> (happy(X0) | tall(X0))) [input p7]
25. patient(lucy) [input hypothesis]
48. ! [X0]... | 0 |
Everyone who is either funny or humble is curious or not brave.
Everyone who is both not rich and funny is tall and vice versa.
If paul is both not calm and not creative then paul is either not generous or not old and vice versa.
Everyone who is either not generous or not old is either not creative or generous and vice... | Alice is not old. | entailment | (![X]:((funny(X)<~>humble(X))=>(curious(X)|~brave(X))))&
(![X]:((~rich(X)&funny(X))<=>tall(X)))&
(((~calm(paul)&~creative(paul)))<=>((~generous(paul)<~>~old(paul))))&
(![X]:((~generous(X)<~>~old(X))<=>(~creative(X)<~>generous(X))))&
((?[X]:((wise(X)&~strong(X))))=>((~curious(lucy)&wise(lucy))))&
(![X]:((~strong(X)|~tal... | ~old(alice) | [
"p1",
"p6",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7555911193991305256843643
% SZS output start Proof for 7555911193991305256843643
2. ! [X0] : ((funny(X0) & ~rich(X0)) <=> tall(X0)) [input p1]
7. ! [X0] : (wise(X0) <=> (~kind(X0) & ~old(X0))) [input p6]
12. ! [X0] : (curious(X0) => (curious(X0) & ~funny(X0))) [input p11]
13. ! [X0] : ((~... | 0 |
Everyone who is not calm is both tall and old and vice versa.
If john is curious then mary is both strong and brave.
If someone is calm then mary is both patient and not brave and vice versa.
Everyone who is not quiet is both not strong and not funny and vice versa.
Everyone who is not wise or not kind is not creative.... | Alice is tall. | entailment | (![X]:(~calm(X)<=>(tall(X)&old(X))))&
((curious(john))=>((strong(mary)&brave(mary))))&
((?[X]:(calm(X)))<=>((patient(mary)&~brave(mary))))&
(![X]:(~quiet(X)<=>(~strong(X)&~funny(X))))&
(![X]:((~wise(X)|~kind(X))=>~creative(X)))&
(![X]:((~wise(X)<~>~patient(X))<=>(wise(X)<~>~quiet(X))))&
((?[X]:((~tall(X)&brave(X))))<=>... | tall(alice) | [
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8411069347475655915880739
% SZS output start Proof for 8411069347475655915880739
20. tall(alice) [input p19]
25. ~tall(alice) [input hypothesis]
135. tall(alice) [cnf transformation 20]
142. ~tall(alice) [cnf transformation 25]
327. $false [subsumption resolution 142,135]
% SZS output end... | 0 |
Everyone who is not patient is quiet or not old. Everyone who is both calm and brave is either brave or not calm and vice versa. Everyone who is not quiet or not patient is both not patient and not creative. Everyone who is both curious and old is brave and vice versa. If someone is either tall or not happy then john i... | John is patient. | neutral | (![X]:(~patient(X)=>(quiet(X)|~old(X))))&
(![X]:((calm(X)&brave(X))<=>(brave(X)<~>~calm(X))))&
(![X]:((~quiet(X)|~patient(X))=>(~patient(X)&~creative(X))))&
(![X]:((curious(X)&old(X))<=>brave(X)))&
((?[X]:((tall(X)<~>~happy(X))))<=>((patient(john)|~humble(john))))&
(![X]:(happy(X)=>(rich(X)&old(X))))&
(((~old(lucy)|ric... | patient(john) | [] | null | 0 |
If someone is brave then someone is calm and vice versa. Everyone who is both humble and patient is either rich or not brave and vice versa. If someone is either not tall or generous then someone is both curious and rich. If someone is both rich and not funny then alice is not happy or not quiet. If susan is rich or qu... | Susan is not kind. | neutral | ((?[X]:(brave(X)))<=>(?[X]:(calm(X))))&
(![X]:((humble(X)&patient(X))<=>(rich(X)<~>~brave(X))))&
((?[X]:((~tall(X)<~>generous(X))))=>(?[X]:((curious(X)&rich(X)))))&
((?[X]:((rich(X)&~funny(X))))=>((~happy(alice)|~quiet(alice))))&
(((rich(susan)|quiet(susan)))<=>((~quiet(susan)<~>strong(susan))))&
(![X]:(~wise(X)=>(~wis... | ~kind(susan) | [] | null | 0 |
Everyone who is both generous and not brave is either not rich or not quiet and vice versa.
Everyone who is either quiet or kind is not strong or not creative and vice versa.
If lucy is not patient or not funny then someone is both tall and not quiet.
Everyone who is not calm or not patient is not kind or wise.
Everyon... | Lucy is not happy. | contradiction | (![X]:((generous(X)&~brave(X))<=>(~rich(X)<~>~quiet(X))))&
(![X]:((quiet(X)<~>kind(X))<=>(~strong(X)|~creative(X))))&
(((~patient(lucy)|~funny(lucy)))=>(?[X]:((tall(X)&~quiet(X)))))&
(![X]:((~calm(X)|~patient(X))=>(~kind(X)|wise(X))))&
(![X]:((~wise(X)|humble(X))<=>(~wise(X)|tall(X))))&
(![X]:(~kind(X)<=>(happy(X)|old(... | ~happy(lucy) | [
"p1",
"p2",
"p3",
"p4",
"p5",
"p8",
"p10",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 296641525368579104628395
% SZS output start Proof for 296641525368579104628395
2. ! [X0] : ((quiet(X0) <~> kind(X0)) <=> (~creative(X0) | ~strong(X0))) [input p1]
3. (~funny(lucy) | ~patient(lucy)) => ? [X0] : (~quiet(X0) & tall(X0)) [input p2]
4. ! [X0] : ((~patient(X0) | ~calm(X0)) => (... | 0 |
Everyone who is kind or not strong is funny or not creative and vice versa. If someone is creative or happy then someone is quiet or not creative. Everyone who is quiet is old or not happy and vice versa. Everyone who is either old or not kind is both wise and not old. If someone is not rich then paul is quiet and vice... | Fred is funny. | entailment | (![X]:((kind(X)|~strong(X))<=>(funny(X)|~creative(X))))&
((?[X]:((creative(X)|happy(X))))=>(?[X]:((quiet(X)|~creative(X)))))&
(![X]:(quiet(X)<=>(old(X)|~happy(X))))&
(![X]:((old(X)<~>~kind(X))=>(wise(X)&~old(X))))&
((?[X]:(~rich(X)))<=>(quiet(paul)))&
(((quiet(mary)<~>curious(mary)))=>((~quiet(mary)&brave(mary))))&
((?... | funny(fred) | [
"p0",
"p3",
"p6",
"p9",
"p11",
"p14",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5389801003990908994630887
% SZS output start Proof for 5389801003990908994630887
1. ! [X0] : ((~strong(X0) | kind(X0)) <=> (~creative(X0) | funny(X0))) [input p0]
4. ! [X0] : ((old(X0) <~> ~kind(X0)) => (~old(X0) & wise(X0))) [input p3]
7. ? [X0] : (~generous(X0) | ~strong(X0)) <=> ? [X0]... | 0 |
If lucy is rich or not strong then paul is both not kind and not funny. If fred is humble or tall then mary is either creative or rich. Everyone who is both not funny and not quiet is quiet or tall and vice versa. If susan is not old then someone is either brave or generous and vice versa. Everyone who is not humble or... | John is funny. | entailment | (((rich(lucy)|~strong(lucy)))=>((~kind(paul)&~funny(paul))))&
(((humble(fred)|tall(fred)))=>((creative(mary)<~>rich(mary))))&
(![X]:((~funny(X)&~quiet(X))<=>(quiet(X)|tall(X))))&
((~old(susan))<=>(?[X]:((brave(X)<~>generous(X)))))&
(![X]:((~humble(X)|brave(X))=>~generous(X)))&
((?[X]:((patient(X)&creative(X))))<=>(?[X]... | funny(john) | [
"p5",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 6998554833088478349837620
% SZS output start Proof for 6998554833088478349837620
6. ? [X0] : (creative(X0) & patient(X0)) <=> ? [X0] : (~funny(X0) <~> patient(X0)) [input p5]
10. ! [X0] : ((patient(X0) | rich(X0)) <=> (~patient(X0) & wise(X0))) [input p9]
24. ~funny(john) [input hypothesi... | 0 |
If someone is both not humble and creative then paul is not kind. Everyone who is not brave or not strong is wise or not old and vice versa. Everyone who is both not rich and not happy is both rich and curious. If fred is either not quiet or curious then susan is old or not tall. Everyone who is both creative and not c... | Paul is tall. | entailment | ((?[X]:((~humble(X)&creative(X))))=>(~kind(paul)))&
(![X]:((~brave(X)|~strong(X))<=>(wise(X)|~old(X))))&
(![X]:((~rich(X)&~happy(X))=>(rich(X)&curious(X))))&
(((~quiet(fred)<~>curious(fred)))=>((old(susan)|~tall(susan))))&
(![X]:((creative(X)&~creative(X))<=>(~kind(X)<~>curious(X))))&
(((~strong(paul)|~wise(paul)))<=>(... | tall(paul) | [
"p4",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 3944240070633872719594194
% SZS output start Proof for 3944240070633872719594194
5. ! [X0] : ((~creative(X0) & creative(X0)) <=> (~kind(X0) <~> curious(X0))) [input p4]
10. ? [X0] : (~tall(X0) | curious(X0)) => ? [X0] : (kind(X0) & curious(X0)) [input p9]
23. ~tall(paul) [input hypothesis... | 0 |
Everyone who is generous is either not tall or patient. Everyone who is not quiet is wise. If mary is funny then paul is rich or not creative and vice versa. If someone is funny or not old then susan is not wise or not generous. If fred is not brave then someone is both not rich and rich. Everyone who is both not stron... | Paul is not curious. | neutral | (![X]:(generous(X)=>(~tall(X)<~>patient(X))))&
(![X]:(~quiet(X)=>wise(X)))&
((funny(mary))<=>((rich(paul)|~creative(paul))))&
((?[X]:((funny(X)|~old(X))))=>((~wise(susan)|~generous(susan))))&
((~brave(fred))=>(?[X]:((~rich(X)&rich(X)))))&
(![X]:((~strong(X)&~old(X))=>(rich(X)<~>wise(X))))&
(![X]:((~rich(X)|quiet(X))=>(... | ~curious(paul) | [] | null | 0 |
If someone is not happy then someone is both calm and not brave. Everyone who is not humble is both funny and not brave. Everyone who is both not calm and happy is both patient and funny. Everyone who is either not curious or generous is not wise and vice versa. If someone is both generous and not creative then alice i... | John is not wise. | neutral | ((?[X]:(~happy(X)))=>(?[X]:((calm(X)&~brave(X)))))&
(![X]:(~humble(X)=>(funny(X)&~brave(X))))&
(![X]:((~calm(X)&happy(X))=>(patient(X)&funny(X))))&
(![X]:((~curious(X)<~>generous(X))<=>~wise(X)))&
((?[X]:((generous(X)&~creative(X))))<=>((~humble(alice)&calm(alice))))&
(![X]:((patient(X)<~>~rich(X))=>(~tall(X)<~>~wise(X... | ~wise(john) | [] | null | 0 |
If someone is both not curious and strong then lucy is not tall or not rich.
Everyone who is strong or brave is old or strong.
Everyone who is either humble or kind is either not rich or old and vice versa.
If someone is not brave or not humble then someone is not creative or rich and vice versa.
Everyone who is either... | John is happy. | contradiction | ((?[X]:((~curious(X)&strong(X))))=>((~tall(lucy)|~rich(lucy))))&
(![X]:((strong(X)|brave(X))=>(old(X)|strong(X))))&
(![X]:((humble(X)<~>kind(X))<=>(~rich(X)<~>old(X))))&
((?[X]:((~brave(X)|~humble(X))))<=>(?[X]:((~creative(X)|rich(X)))))&
(![X]:((~patient(X)<~>humble(X))<=>(old(X)<~>curious(X))))&
(((~brave(john)&~funn... | happy(john) | [
"p7",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 7565435949765344955721607
% SZS output start Proof for 7565435949765344955721607
8. ! [X0] : ((creative(X0) & ~happy(X0)) <=> (brave(X0) | wise(X0))) [input p7]
10. ! [X0] : ((~wise(X0) | happy(X0)) <=> (~brave(X0) & brave(X0))) [input p9]
22. happy(john) [input hypothesis]
44. ! [X0] : (... | 0 |
Everyone who is not creative or not calm is not tall. Everyone who is both not rich and not funny is either curious or not kind and vice versa. Everyone who is not quiet is calm or not brave. Everyone who is strong is both not happy and humble. Everyone who is both not funny and humble is old or not tall and vice versa... | Lucy is creative. | neutral | (![X]:((~creative(X)|~calm(X))=>~tall(X)))&
(![X]:((~rich(X)&~funny(X))<=>(curious(X)<~>~kind(X))))&
(![X]:(~quiet(X)=>(calm(X)|~brave(X))))&
(![X]:(strong(X)=>(~happy(X)&humble(X))))&
(![X]:((~funny(X)&humble(X))<=>(old(X)|~tall(X))))&
((?[X]:(~curious(X)))<=>((~old(alice)&wise(alice))))&
(![X]:((tall(X)&~calm(X))<=>(... | creative(lucy) | [] | null | 0 |
Everyone who is both old and not curious is not humble or not patient and vice versa. Everyone who is old is not strong and vice versa. Everyone who is quiet is not patient. If paul is quiet then someone is tall and vice versa. Everyone who is kind is both brave and curious and vice versa. Everyone who is either humble... | Susan is not strong. | entailment | (![X]:((old(X)&~curious(X))<=>(~humble(X)|~patient(X))))&
(![X]:(old(X)<=>~strong(X)))&
(![X]:(quiet(X)=>~patient(X)))&
((quiet(paul))<=>(?[X]:(tall(X))))&
(![X]:(kind(X)<=>(brave(X)&curious(X))))&
(![X]:((humble(X)<~>generous(X))=>(~quiet(X)<~>creative(X))))&
((?[X]:((happy(X)|~tall(X))))=>(?[X]:((~humble(X)&curious(X... | ~strong(susan) | [
"p0",
"p1",
"p2",
"p10",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 4078983616338364770790746
% SZS output start Proof for 4078983616338364770790746
1. ! [X0] : ((~curious(X0) & old(X0)) <=> (~patient(X0) | ~humble(X0))) [input p0]
2. ! [X0] : (old(X0) <=> ~strong(X0)) [input p1]
3. ! [X0] : (quiet(X0) => ~patient(X0)) [input p2]
11. ! [X0] : (patient(X0)... | 0 |
Everyone who is not patient or not brave is either creative or funny and vice versa.
If alice is creative then susan is not strong or not wise and vice versa.
If someone is both brave and strong then fred is both kind and not curious and vice versa.
Everyone who is not happy is happy or kind.
Everyone who is not rich i... | Susan is not quiet. | entailment | (![X]:((~patient(X)|~brave(X))<=>(creative(X)<~>funny(X))))&
((creative(alice))<=>((~strong(susan)|~wise(susan))))&
((?[X]:((brave(X)&strong(X))))<=>((kind(fred)&~curious(fred))))&
(![X]:(~happy(X)=>(happy(X)|kind(X))))&
(![X]:(~rich(X)<=>(brave(X)|~happy(X))))&
((?[X]:((~brave(X)&~generous(X))))<=>((~old(mary)|patient... | ~quiet(susan) | [
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 177633216641890450761959
% SZS output start Proof for 177633216641890450761959
15. ! [X0] : ((~generous(X0) | quiet(X0)) => (~quiet(X0) & funny(X0))) [input p14]
24. quiet(susan) [input hypothesis]
33. ! [X0] : ((~quiet(X0) & funny(X0)) | (generous(X0) & ~quiet(X0))) [ennf transformation ... | 0 |
Everyone who is either generous or not funny is not wise or not quiet and vice versa.
If fred is either rich or kind then someone is either tall or not generous.
If someone is both not creative and curious then someone is either not creative or not curious.
Everyone who is not curious or strong is either quiet or rich.... | Alice is curious. | entailment | (![X]:((generous(X)<~>~funny(X))<=>(~wise(X)|~quiet(X))))&
(((rich(fred)<~>kind(fred)))=>(?[X]:((tall(X)<~>~generous(X)))))&
((?[X]:((~creative(X)&curious(X))))=>(?[X]:((~creative(X)<~>~curious(X)))))&
(![X]:((~curious(X)|strong(X))=>(quiet(X)<~>rich(X))))&
(![X]:((quiet(X)&patient(X))=>(brave(X)<~>~funny(X))))&
(![X]:... | curious(alice) | [
"p12",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 4397439108456135749464845
% SZS output start Proof for 4397439108456135749464845
13. ? [X0] : (~generous(X0) | ~funny(X0)) => curious(alice) [input p12]
16. ? [X0] : calm(X0) <=> ? [X0] : (tall(X0) & ~funny(X0)) [input p15]
24. ? [X0] : calm(X0) [input p23]
25. ~curious(alice) [input hypo... | 0 |
Everyone who is not humble or brave is not old or curious.
Everyone who is either kind or wise is either old or generous and vice versa.
Everyone who is both brave and patient is not happy and vice versa.
Everyone who is not funny or creative is wise or creative.
Everyone who is not generous is not old and vice versa.
... | Mary is quiet. | neutral | (![X]:((~humble(X)|brave(X))=>(~old(X)|curious(X))))&
(![X]:((kind(X)<~>wise(X))<=>(old(X)<~>generous(X))))&
(![X]:((brave(X)&patient(X))<=>~happy(X)))&
(![X]:((~funny(X)|creative(X))=>(wise(X)|creative(X))))&
(![X]:(~generous(X)<=>~old(X)))&
(![X]:((calm(X)&~funny(X))=>quiet(X)))&
((?[X]:(calm(X)))<=>(?[X]:(~humble(X)... | quiet(mary) | [] | null | 0 |
Everyone who is both humble and not old is humble or generous and vice versa.
Everyone who is both not strong and not calm is not brave.
Everyone who is both patient and not generous is both tall and not humble and vice versa.
Everyone who is either rich or kind is both not tall and brave and vice versa.
Everyone who i... | Alice is not wise. | neutral | (![X]:((humble(X)&~old(X))<=>(humble(X)|generous(X))))&
(![X]:((~strong(X)&~calm(X))=>~brave(X)))&
(![X]:((patient(X)&~generous(X))<=>(tall(X)&~humble(X))))&
(![X]:((rich(X)<~>kind(X))<=>(~tall(X)&brave(X))))&
(![X]:((~patient(X)|~kind(X))<=>brave(X)))&
(((funny(john)&~kind(john)))=>(generous(fred)))&
(![X]:((wise(X)&b... | ~wise(alice) | [] | null | 0 |
Everyone who is both not tall and brave is creative and vice versa. Everyone who is both not strong and not generous is not brave. Everyone who is both not wise and old is calm or old. If someone is not funny then mary is brave and vice versa. Everyone who is quiet is curious. If someone is not patient or creative then... | John is patient. | neutral | (![X]:((~tall(X)&brave(X))<=>creative(X)))&
(![X]:((~strong(X)&~generous(X))=>~brave(X)))&
(![X]:((~wise(X)&old(X))=>(calm(X)|old(X))))&
((?[X]:(~funny(X)))<=>(brave(mary)))&
(![X]:(quiet(X)=>curious(X)))&
((?[X]:((~patient(X)|creative(X))))=>(?[X]:((brave(X)|~brave(X)))))&
((?[X]:((curious(X)|~old(X))))<=>((happy(paul... | patient(john) | [] | null | 0 |
Everyone who is both not generous and strong is not rich or not curious.
Everyone who is both brave and strong is wise and vice versa.
If john is either humble or quiet then alice is both creative and not old and vice versa.
Everyone who is either brave or not patient is old or wise.
Everyone who is patient is not stro... | Alice is creative. | neutral | (![X]:((~generous(X)&strong(X))=>(~rich(X)|~curious(X))))&
(![X]:((brave(X)&strong(X))<=>wise(X)))&
(((humble(john)<~>quiet(john)))<=>((creative(alice)&~old(alice))))&
(![X]:((brave(X)<~>~patient(X))=>(old(X)|wise(X))))&
(![X]:(patient(X)<=>(~strong(X)|~brave(X))))&
(![X]:((wise(X)&happy(X))<=>(~old(X)|kind(X))))&
(![X... | creative(alice) | [] | null | 0 |
Everyone who is not calm is calm.
Everyone who is both not humble and kind is brave.
If someone is creative or not brave then someone is not wise.
Everyone who is not funny is both not generous and curious and vice versa.
Everyone who is creative is either funny or not calm.
If mary is either generous or calm then some... | Lucy is creative. | entailment | (![X]:(~calm(X)=>calm(X)))&
(![X]:((~humble(X)&kind(X))=>brave(X)))&
((?[X]:((creative(X)|~brave(X))))=>(?[X]:(~wise(X))))&
(![X]:(~funny(X)<=>(~generous(X)&curious(X))))&
(![X]:(creative(X)=>(funny(X)<~>~calm(X))))&
(((generous(mary)<~>calm(mary)))=>(?[X]:(~old(X))))&
(![X]:((~happy(X)&~quiet(X))<=>(~strong(X)<~>~humb... | creative(lucy) | [
"p0",
"p8",
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7205423232744897102592865
% SZS output start Proof for 7205423232744897102592865
1. ! [X0] : (~calm(X0) => calm(X0)) [input p0]
9. ! [X0] : (~calm(X0) <=> rich(X0)) [input p8]
10. (kind(mary) & generous(mary)) <=> (old(lucy) | ~creative(lucy)) [input p9]
16. ? [X0] : (~rich(X0) <~> ~gener... | 0 |
Everyone who is not rich is not strong.
If alice is not funny then someone is both brave and funny and vice versa.
Everyone who is humble or not kind is humble or tall and vice versa.
Everyone who is not generous or old is not kind.
Everyone who is funny or creative is old.
Everyone who is both not kind and tall is eit... | Lucy is not creative. | entailment | (![X]:(~rich(X)=>~strong(X)))&
((~funny(alice))<=>(?[X]:((brave(X)&funny(X)))))&
(![X]:((humble(X)|~kind(X))<=>(humble(X)|tall(X))))&
(![X]:((~generous(X)|old(X))=>~kind(X)))&
(![X]:((funny(X)|creative(X))=>old(X)))&
(![X]:((~kind(X)&tall(X))=>(old(X)<~>~creative(X))))&
((?[X]:((funny(X)|~calm(X))))<=>((quiet(fred)<~>g... | ~creative(lucy) | [
"p0",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 6592022437964871108817207
% SZS output start Proof for 6592022437964871108817207
1. ! [X0] : (~rich(X0) => ~strong(X0)) [input p0]
9. ! [X0] : ((~kind(X0) | generous(X0)) <=> patient(X0)) [input p8]
12. ! [X0] : ((creative(X0) | generous(X0)) => (~rich(X0) & ~quiet(X0))) [input p11]
13. !... | 0 |
Everyone who is quiet or strong is both strong and patient.
Everyone who is not creative or not calm is both rich and tall.
If someone is either not curious or kind then someone is wise or strong.
Everyone who is rich is tall or not quiet.
Everyone who is tall or not calm is either calm or generous and vice versa.
Ever... | Mary is strong. | entailment | (![X]:((quiet(X)|strong(X))=>(strong(X)&patient(X))))&
(![X]:((~creative(X)|~calm(X))=>(rich(X)&tall(X))))&
((?[X]:((~curious(X)<~>kind(X))))=>(?[X]:((wise(X)|strong(X)))))&
(![X]:(rich(X)=>(tall(X)|~quiet(X))))&
(![X]:((tall(X)|~calm(X))<=>(calm(X)<~>generous(X))))&
(![X]:((tall(X)&creative(X))=>strong(X)))&
(![X]:((~... | strong(mary) | [
"p1",
"p5",
"p10",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 713441123139954952700050
% SZS output start Proof for 713441123139954952700050
2. ! [X0] : ((~calm(X0) | ~creative(X0)) => (tall(X0) & rich(X0))) [input p1]
6. ! [X0] : ((creative(X0) & tall(X0)) => strong(X0)) [input p5]
11. ! [X0] : ((~calm(X0) | ~strong(X0)) => (creative(X0) & curious(... | 0 |
If susan is both not patient and strong then someone is both strong and not kind. Everyone who is brave is either not wise or happy. Everyone who is either not brave or not creative is creative or not wise and vice versa. If someone is not funny then someone is either not brave or kind. Everyone who is rich is old or r... | Lucy is humble. | contradiction | (((~patient(susan)&strong(susan)))=>(?[X]:((strong(X)&~kind(X)))))&
(![X]:(brave(X)=>(~wise(X)<~>happy(X))))&
(![X]:((~brave(X)<~>~creative(X))<=>(creative(X)|~wise(X))))&
((?[X]:(~funny(X)))=>(?[X]:((~brave(X)<~>kind(X)))))&
(![X]:(rich(X)<=>(old(X)|rich(X))))&
(![X]:((tall(X)<~>kind(X))<=>(~strong(X)&~brave(X))))&
(!... | humble(lucy) | [
"p7",
"hypothesis"
] | % SZS status Unsatisfiable for 4912900663911147298169500
% SZS output start Proof for 4912900663911147298169500
8. ? [X0] : (~happy(X0) | humble(X0)) => (~old(mary) & old(mary)) [input p7]
24. humble(lucy) [input hypothesis]
33. (~old(mary) & old(mary)) | ! [X0] : (happy(X0) & ~humble(X0)) [ennf transformation 8]
103. ... | 0 |
If someone is either not curious or not quiet then someone is not generous or not patient.
If fred is either not tall or not kind then someone is both strong and brave.
Everyone who is wise is not happy and vice versa.
Everyone who is both not creative and old is not calm or old and vice versa.
If someone is both calm ... | Fred is creative. | contradiction | ((?[X]:((~curious(X)<~>~quiet(X))))=>(?[X]:((~generous(X)|~patient(X)))))&
(((~tall(fred)<~>~kind(fred)))=>(?[X]:((strong(X)&brave(X)))))&
(![X]:(wise(X)<=>~happy(X)))&
(![X]:((~creative(X)&old(X))<=>(~calm(X)|old(X))))&
((?[X]:((calm(X)&happy(X))))<=>((~happy(john)&~kind(john))))&
(((curious(mary)<~>~patient(mary)))<=... | creative(fred) | [
"p2",
"p3",
"p4",
"p6",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 6133267216332680988547859
% SZS output start Proof for 6133267216332680988547859
3. ! [X0] : (wise(X0) <=> ~happy(X0)) [input p2]
4. ! [X0] : ((old(X0) & ~creative(X0)) <=> (old(X0) | ~calm(X0))) [input p3]
5. ? [X0] : (happy(X0) & calm(X0)) <=> (~kind(john) & ~happy(john)) [input p4]
7. ... | 0 |
Everyone who is not creative is either funny or quiet and vice versa.
Everyone who is not brave or wise is both not calm and calm.
Everyone who is funny is either quiet or not kind and vice versa.
If someone is both not old and not calm then someone is both not wise and not brave.
If someone is happy then someone is no... | Lucy is tall. | entailment | (![X]:(~creative(X)<=>(funny(X)<~>quiet(X))))&
(![X]:((~brave(X)|wise(X))=>(~calm(X)&calm(X))))&
(![X]:(funny(X)<=>(quiet(X)<~>~kind(X))))&
((?[X]:((~old(X)&~calm(X))))=>(?[X]:((~wise(X)&~brave(X)))))&
((?[X]:(happy(X)))<=>(?[X]:(~brave(X))))&
(![X]:((~generous(X)&curious(X))=>(~tall(X)&patient(X))))&
(![X]:(~generous(... | tall(lucy) | [
"p1",
"p4",
"p6",
"p9",
"p11",
"p14",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 6051770198526682858231677
% SZS output start Proof for 6051770198526682858231677
2. ! [X0] : ((wise(X0) | ~brave(X0)) => (calm(X0) & ~calm(X0))) [input p1]
5. ? [X0] : happy(X0) <=> ? [X0] : ~brave(X0) [input p4]
7. ! [X0] : (~generous(X0) <=> (~rich(X0) & brave(X0))) [input p6]
10. ! [X0... | 0 |
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