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 not tall is calm or not tall and vice versa.
Everyone who is either kind or creative is kind or not quiet and vice versa.
If john is not strong or tall then someone is either not creative or quiet and vice versa.
Everyone who is patient or not tall is wise.
Everyone who is creative or not generous is ei... | Alice is humble. | neutral | (![X]:(~tall(X)<=>(calm(X)|~tall(X))))&
(![X]:((kind(X)<~>creative(X))<=>(kind(X)|~quiet(X))))&
(((~strong(john)|tall(john)))<=>(?[X]:((~creative(X)<~>quiet(X)))))&
(![X]:((patient(X)|~tall(X))=>wise(X)))&
(![X]:((creative(X)|~generous(X))<=>(~happy(X)<~>~rich(X))))&
(![X]:((old(X)<~>quiet(X))<=>funny(X)))&
(![X]:((~hu... | humble(alice) | [] | null | 0 |
If mary is kind then mary is humble and vice versa. If lucy is both not happy and not wise then someone is not strong or not happy and vice versa. If paul is tall then someone is both old and not old and vice versa. If someone is humble or not humble then alice is either not brave or patient and vice versa. If susan is... | John is generous. | contradiction | ((kind(mary))<=>(humble(mary)))&
(((~happy(lucy)&~wise(lucy)))<=>(?[X]:((~strong(X)|~happy(X)))))&
((tall(paul))<=>(?[X]:((old(X)&~old(X)))))&
((?[X]:((humble(X)|~humble(X))))<=>((~brave(alice)<~>patient(alice))))&
(((calm(susan)|~curious(susan)))=>((~wise(john)&happy(john))))&
((?[X]:(~kind(X)))=>(?[X]:(~strong(X))))&... | generous(john) | [
"p9",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 5642698560384364382682592
% SZS output start Proof for 5642698560384364382682592
10. ! [X0] : ((~brave(X0) | generous(X0)) <=> (~old(X0) & ~tall(X0))) [input p9]
16. ! [X0] : ((~tall(X0) | curious(X0)) => (~wise(X0) & old(X0))) [input p15]
24. generous(john) [input hypothesis]
36. ! [X0] ... | 0 |
If mary is not rich or brave then someone is not generous or not creative and vice versa. Everyone who is not generous or not kind is humble and vice versa. Everyone who is both creative and not humble is both not curious and brave and vice versa. Everyone who is brave is either patient or not creative and vice versa. ... | John is not generous. | entailment | (((~rich(mary)|brave(mary)))<=>(?[X]:((~generous(X)|~creative(X)))))&
(![X]:((~generous(X)|~kind(X))<=>humble(X)))&
(![X]:((creative(X)&~humble(X))<=>(~curious(X)&brave(X))))&
(![X]:(brave(X)<=>(patient(X)<~>~creative(X))))&
(![X]:(~wise(X)=>(quiet(X)|~creative(X))))&
((?[X]:((generous(X)|~curious(X))))<=>(?[X]:((brave... | ~generous(john) | [
"p1",
"p5",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 1489800627415233341959562
% SZS output start Proof for 1489800627415233341959562
2. ! [X0] : ((~kind(X0) | ~generous(X0)) <=> humble(X0)) [input p1]
6. ? [X0] : (~curious(X0) | generous(X0)) <=> ? [X0] : (~humble(X0) & brave(X0)) [input p5]
15. ? [X0] : (brave(X0) <~> ~generous(X0)) => (h... | 0 |
Everyone who is either creative or wise is not funny or tall and vice versa.
Everyone who is not calm or not kind is humble or not old and vice versa.
If someone is humble then alice is creative or not wise.
If someone is both funny and not calm then lucy is either wise or patient and vice versa.
Everyone who is either... | Alice is strong. | entailment | (![X]:((creative(X)<~>wise(X))<=>(~funny(X)|tall(X))))&
(![X]:((~calm(X)|~kind(X))<=>(humble(X)|~old(X))))&
((?[X]:(humble(X)))=>((creative(alice)|~wise(alice))))&
((?[X]:((funny(X)&~calm(X))))<=>((wise(lucy)<~>patient(lucy))))&
(![X]:((creative(X)<~>~calm(X))<=>(creative(X)<~>~funny(X))))&
((?[X]:((~tall(X)|~creative(... | strong(alice) | [
"p0",
"p4",
"p5",
"p6",
"p11",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3886770713766642443248727
% SZS output start Proof for 3886770713766642443248727
1. ! [X0] : ((creative(X0) <~> wise(X0)) <=> (tall(X0) | ~funny(X0))) [input p0]
5. ! [X0] : ((creative(X0) <~> ~calm(X0)) <=> (creative(X0) <~> ~funny(X0))) [input p4]
6. ? [X0] : (~creative(X0) | ~tall(X0))... | 0 |
Everyone who is not quiet or creative is both strong and calm. If john is creative or not curious then paul is kind. If someone is either not happy or not quiet then mary is curious. Everyone who is creative or not humble is not patient or happy and vice versa. Everyone who is both generous and happy is not creative or... | Lucy is not humble. | entailment | (![X]:((~quiet(X)|creative(X))=>(strong(X)&calm(X))))&
(((creative(john)|~curious(john)))=>(kind(paul)))&
((?[X]:((~happy(X)<~>~quiet(X))))=>(curious(mary)))&
(![X]:((creative(X)|~humble(X))<=>(~patient(X)|happy(X))))&
(![X]:((generous(X)&happy(X))<=>(~creative(X)|creative(X))))&
(((kind(susan)|wise(susan)))=>((funny(s... | ~humble(lucy) | [
"p4",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3921290119059668500260804
% SZS output start Proof for 3921290119059668500260804
5. ! [X0] : ((happy(X0) & generous(X0)) <=> (creative(X0) | ~creative(X0))) [input p4]
15. ? [X0] : (humble(X0) | ~tall(X0)) => (~generous(paul) & ~happy(paul)) [input p14]
24. humble(lucy) [input hypothesis]... | 0 |
Everyone who is not strong is both not tall and old and vice versa.
Everyone who is wise or brave is both funny and brave and vice versa.
If someone is both not patient and curious then someone is either brave or tall and vice versa.
Everyone who is both humble and brave is both tall and humble and vice versa.
Everyone... | Mary is not old. | entailment | (![X]:(~strong(X)<=>(~tall(X)&old(X))))&
(![X]:((wise(X)|brave(X))<=>(funny(X)&brave(X))))&
((?[X]:((~patient(X)&curious(X))))<=>(?[X]:((brave(X)<~>tall(X)))))&
(![X]:((humble(X)&brave(X))<=>(tall(X)&humble(X))))&
(![X]:((~funny(X)|~tall(X))=>(strong(X)|creative(X))))&
((?[X]:((~old(X)&tall(X))))=>((quiet(alice)|wise(a... | ~old(mary) | [
"p0",
"p3",
"p4",
"p6",
"p13",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 2748838694284968750188421
% SZS output start Proof for 2748838694284968750188421
1. ! [X0] : (~strong(X0) <=> (old(X0) & ~tall(X0))) [input p0]
4. ! [X0] : ((brave(X0) & humble(X0)) <=> (humble(X0) & tall(X0))) [input p3]
5. ! [X0] : ((~tall(X0) | ~funny(X0)) => (creative(X0) | strong(X0)... | 0 |
Everyone who is both funny and not tall is both brave and not generous. Everyone who is happy is not old and vice versa. Everyone who is not happy is both generous and calm. Everyone who is old or rich is kind. Everyone who is funny is not creative or not kind. Everyone who is not humble or old is rich or not curious. ... | John is kind. | entailment | (![X]:((funny(X)&~tall(X))=>(brave(X)&~generous(X))))&
(![X]:(happy(X)<=>~old(X)))&
(![X]:(~happy(X)=>(generous(X)&calm(X))))&
(![X]:((old(X)|rich(X))=>kind(X)))&
(![X]:(funny(X)=>(~creative(X)|~kind(X))))&
(![X]:((~humble(X)|old(X))=>(rich(X)|~curious(X))))&
((curious(lucy))=>((strong(fred)<~>creative(fred))))&
(![X]:... | kind(john) | [
"p0",
"p2",
"p3",
"p10",
"p11",
"p17",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 20904734652163384707671
% SZS output start Proof for 20904734652163384707671
1. ! [X0] : ((~tall(X0) & funny(X0)) => (~generous(X0) & brave(X0))) [input p0]
3. ! [X0] : (~happy(X0) => (calm(X0) & generous(X0))) [input p2]
4. ! [X0] : ((rich(X0) | old(X0)) => kind(X0)) [input p3]
11. ! [X0... | 0 |
Everyone who is curious is not funny. Everyone who is either calm or creative is strong. Everyone who is either not rich or not strong is happy. If someone is both tall and not creative then someone is kind and vice versa. Everyone who is either funny or rich is either not curious or creative and vice versa. Everyone w... | Alice is not strong. | neutral | (![X]:(curious(X)=>~funny(X)))&
(![X]:((calm(X)<~>creative(X))=>strong(X)))&
(![X]:((~rich(X)<~>~strong(X))=>happy(X)))&
((?[X]:((tall(X)&~creative(X))))<=>(?[X]:(kind(X))))&
(![X]:((funny(X)<~>rich(X))<=>(~curious(X)<~>creative(X))))&
(![X]:((~brave(X)&~kind(X))=>(~patient(X)<~>kind(X))))&
(![X]:((~happy(X)<~>rich(X))... | ~strong(alice) | [] | null | 0 |
If someone is not generous or not kind then someone is both humble and not strong.
Everyone who is both not creative and funny is curious.
Everyone who is kind or happy is patient or wise and vice versa.
Everyone who is both calm and not wise is both humble and not generous and vice versa.
If someone is either old or n... | Lucy is not tall. | neutral | ((?[X]:((~generous(X)|~kind(X))))=>(?[X]:((humble(X)&~strong(X)))))&
(![X]:((~creative(X)&funny(X))=>curious(X)))&
(![X]:((kind(X)|happy(X))<=>(patient(X)|wise(X))))&
(![X]:((calm(X)&~wise(X))<=>(humble(X)&~generous(X))))&
((?[X]:((old(X)<~>~strong(X))))=>(?[X]:((quiet(X)<~>~brave(X)))))&
((?[X]:(tall(X)))<=>(?[X]:((ri... | ~tall(lucy) | [] | null | 0 |
Everyone who is either rich or tall is either humble or rich.
Everyone who is patient is old or not strong.
Everyone who is both funny and not tall is either not kind or humble.
If susan is either not curious or patient then someone is not funny.
Everyone who is strong or not humble is not old.
If someone is both wise ... | John is rich. | neutral | (![X]:((rich(X)<~>tall(X))=>(humble(X)<~>rich(X))))&
(![X]:(patient(X)=>(old(X)|~strong(X))))&
(![X]:((funny(X)&~tall(X))=>(~kind(X)<~>humble(X))))&
(((~curious(susan)<~>patient(susan)))=>(?[X]:(~funny(X))))&
(![X]:((strong(X)|~humble(X))=>~old(X)))&
((?[X]:((wise(X)&rich(X))))<=>((patient(john)<~>brave(john))))&
(![X]... | rich(john) | [] | null | 0 |
If john is not humble or generous then mary is humble. Everyone who is either not patient or calm is either kind or calm and vice versa. If john is not patient then lucy is either not quiet or humble and vice versa. Everyone who is both wise and not quiet is creative and vice versa. Everyone who is not patient or wise ... | John is brave. | contradiction | (((~humble(john)|generous(john)))=>(humble(mary)))&
(![X]:((~patient(X)<~>calm(X))<=>(kind(X)<~>calm(X))))&
((~patient(john))<=>((~quiet(lucy)<~>humble(lucy))))&
(![X]:((wise(X)&~quiet(X))<=>creative(X)))&
(![X]:((~patient(X)|wise(X))=>(~patient(X)&quiet(X))))&
((?[X]:((~old(X)&humble(X))))=>((humble(mary)<~>rich(mary)... | brave(john) | [
"p1",
"p4",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2050077903953540450428661
% SZS output start Proof for 2050077903953540450428661
2. ! [X0] : ((~patient(X0) <~> calm(X0)) <=> (kind(X0) <~> calm(X0))) [input p1]
5. ! [X0] : ((wise(X0) | ~patient(X0)) => (quiet(X0) & ~patient(X0))) [input p4]
11. ! [X0] : (brave(X0) <=> (brave(X0) <~> kin... | 0 |
Everyone who is either not old or not generous is both not kind and humble.
If fred is not generous then someone is both not brave and calm and vice versa.
Everyone who is not brave is wise or patient.
If susan is tall or not wise then mary is funny or not strong.
Everyone who is strong is either curious or rich and vi... | Alice is creative. | neutral | (![X]:((~old(X)<~>~generous(X))=>(~kind(X)&humble(X))))&
((~generous(fred))<=>(?[X]:((~brave(X)&calm(X)))))&
(![X]:(~brave(X)=>(wise(X)|patient(X))))&
(((tall(susan)|~wise(susan)))=>((funny(mary)|~strong(mary))))&
(![X]:(strong(X)<=>(curious(X)<~>rich(X))))&
(![X]:((old(X)|~old(X))=>~tall(X)))&
(![X]:((~funny(X)&funny(... | creative(alice) | [] | null | 0 |
Everyone who is quiet is patient or not old and vice versa. Everyone who is either not humble or funny is humble or creative. Everyone who is patient or brave is both creative and wise. If someone is strong or not kind then mary is both not calm and humble and vice versa. Everyone who is not wise or not kind is either ... | Paul is not calm. | contradiction | (![X]:(quiet(X)<=>(patient(X)|~old(X))))&
(![X]:((~humble(X)<~>funny(X))=>(humble(X)|creative(X))))&
(![X]:((patient(X)|brave(X))=>(creative(X)&wise(X))))&
((?[X]:((strong(X)|~kind(X))))<=>((~calm(mary)&humble(mary))))&
(![X]:((~wise(X)|~kind(X))=>(brave(X)<~>funny(X))))&
(((tall(susan)|quiet(susan)))=>((old(fred)&~hap... | ~calm(paul) | [
"p3",
"p12",
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 4899810441626535133213408
% SZS output start Proof for 4899810441626535133213408
4. ? [X0] : (~kind(X0) | strong(X0)) <=> (humble(mary) & ~calm(mary)) [input p3]
13. ! [X0] : (~calm(X0) <=> (quiet(X0) & ~creative(X0))) [input p12]
14. ! [X0] : (~strong(X0) <=> ~quiet(X0)) [input p13]
17. ... | 0 |
Everyone who is not brave or not strong is either calm or curious.
Everyone who is both not curious and happy is either strong or not rich and vice versa.
Everyone who is not rich or humble is both curious and humble.
If paul is either humble or not funny then someone is both calm and quiet and vice versa.
Everyone who... | Lucy is not rich. | contradiction | (![X]:((~brave(X)|~strong(X))=>(calm(X)<~>curious(X))))&
(![X]:((~curious(X)&happy(X))<=>(strong(X)<~>~rich(X))))&
(![X]:((~rich(X)|humble(X))=>(curious(X)&humble(X))))&
(((humble(paul)<~>~funny(paul)))<=>(?[X]:((calm(X)&quiet(X)))))&
(![X]:((curious(X)&~curious(X))<=>(rich(X)<~>~wise(X))))&
(![X]:((~wise(X)|~funny(X))... | ~rich(lucy) | [
"p2",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2935340850867461274524976
% SZS output start Proof for 2935340850867461274524976
3. ! [X0] : ((humble(X0) | ~rich(X0)) => (humble(X0) & curious(X0))) [input p2]
11. ! [X0] : ((rich(X0) | ~old(X0)) => curious(X0)) [input p10]
12. ? [X0] : (humble(X0) <~> ~curious(X0)) => (creative(lucy) & ... | 0 |
Everyone who is patient is either creative or not brave and vice versa.
Everyone who is not calm or not strong is either rich or wise and vice versa.
Everyone who is either not humble or rich is either not old or not strong.
If someone is either not wise or patient then someone is rich or not quiet.
Everyone who is hum... | Fred is humble. | contradiction | (![X]:(patient(X)<=>(creative(X)<~>~brave(X))))&
(![X]:((~calm(X)|~strong(X))<=>(rich(X)<~>wise(X))))&
(![X]:((~humble(X)<~>rich(X))=>(~old(X)<~>~strong(X))))&
((?[X]:((~wise(X)<~>patient(X))))=>(?[X]:((rich(X)|~quiet(X)))))&
(![X]:((humble(X)|~curious(X))<=>strong(X)))&
((?[X]:((calm(X)&happy(X))))<=>((~creative(paul)... | humble(fred) | [
"p4",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 7027247103130841072600064
% SZS output start Proof for 7027247103130841072600064
5. ! [X0] : ((~curious(X0) | humble(X0)) <=> strong(X0)) [input p4]
19. ~strong(fred) [input p18]
25. humble(fred) [input hypothesis]
42. ! [X0] : (((~curious(X0) | humble(X0)) | ~strong(X0)) & (strong(X0) | ... | 0 |
Everyone who is tall is not creative.
If mary is funny then lucy is both not brave and wise and vice versa.
If someone is either patient or wise then someone is either not creative or not old.
If someone is both not kind and not wise then someone is both not wise and brave and vice versa.
If john is not curious then al... | Mary is patient. | entailment | (![X]:(tall(X)=>~creative(X)))&
((funny(mary))<=>((~brave(lucy)&wise(lucy))))&
((?[X]:((patient(X)<~>wise(X))))=>(?[X]:((~creative(X)<~>~old(X)))))&
((?[X]:((~kind(X)&~wise(X))))<=>(?[X]:((~wise(X)&brave(X)))))&
((~curious(john))=>(~old(alice)))&
((?[X]:(~calm(X)))=>(?[X]:((strong(X)|curious(X)))))&
(![X]:(creative(X)<... | patient(mary) | [
"p0",
"p6",
"p8",
"p11",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2067686738618141720622595
% SZS output start Proof for 2067686738618141720622595
1. ! [X0] : (tall(X0) => ~creative(X0)) [input p0]
7. ! [X0] : (creative(X0) <=> humble(X0)) [input p6]
9. ! [X0] : ((old(X0) | generous(X0)) <=> (~quiet(X0) | humble(X0))) [input p8]
12. ! [X0] : ((patient(X... | 0 |
If someone is not quiet then someone is not strong or not quiet and vice versa.
If mary is both not kind and humble then someone is either tall or not tall and vice versa.
If john is either creative or not old then someone is both old and kind.
Everyone who is either generous or not humble is either not creative or old... | Susan is not calm. | contradiction | ((?[X]:(~quiet(X)))<=>(?[X]:((~strong(X)|~quiet(X)))))&
(((~kind(mary)&humble(mary)))<=>(?[X]:((tall(X)<~>~tall(X)))))&
(((creative(john)<~>~old(john)))=>(?[X]:((old(X)&kind(X)))))&
(![X]:((generous(X)<~>~humble(X))<=>(~creative(X)<~>old(X))))&
(![X]:((happy(X)<~>~funny(X))=>(patient(X)&~quiet(X))))&
((?[X]:((calm(X)|q... | ~calm(susan) | [
"p1",
"p3",
"p7",
"p8",
"p10",
"p13",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 2787990846079243804261769
% SZS output start Proof for 2787990846079243804261769
2. (humble(mary) & ~kind(mary)) <=> ? [X0] : (tall(X0) <~> ~tall(X0)) [input p1]
4. ! [X0] : ((generous(X0) <~> ~humble(X0)) <=> (~creative(X0) <~> old(X0))) [input p3]
8. ! [X0] : (~kind(X0) <=> (~creative(X... | 0 |
If alice is either not funny or not happy then someone is not rich and vice versa. If someone is both strong and kind then paul is wise. If fred is both not calm and strong then someone is either not curious or not calm and vice versa. If someone is both not humble and not strong then fred is strong. Everyone who is bo... | Lucy is not calm. | contradiction | (((~funny(alice)<~>~happy(alice)))<=>(?[X]:(~rich(X))))&
((?[X]:((strong(X)&kind(X))))=>(wise(paul)))&
(((~calm(fred)&strong(fred)))<=>(?[X]:((~curious(X)<~>~calm(X)))))&
((?[X]:((~humble(X)&~strong(X))))=>(strong(fred)))&
(![X]:((humble(X)&brave(X))<=>(~old(X)|~generous(X))))&
((?[X]:((generous(X)|~old(X))))=>(?[X]:((... | ~calm(lucy) | [
"p4",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 2634420350759922953145059
% SZS output start Proof for 2634420350759922953145059
5. ! [X0] : ((brave(X0) & humble(X0)) <=> (~generous(X0) | ~old(X0))) [input p4]
16. ! [X0] : ((wise(X0) | ~creative(X0)) => (~generous(X0) | calm(X0))) [input p15]
19. ~brave(lucy) & wise(lucy) [input p18]
2... | 0 |
Everyone who is not creative is not creative or not quiet. If alice is rich then mary is both rich and old. Everyone who is not funny is funny. If mary is not funny then fred is both not funny and not tall. If someone is humble or calm then paul is not strong or not kind. If alice is not quiet or patient then lucy is c... | Mary is not funny. | contradiction | (![X]:(~creative(X)=>(~creative(X)|~quiet(X))))&
((rich(alice))=>((rich(mary)&old(mary))))&
(![X]:(~funny(X)=>funny(X)))&
((~funny(mary))=>((~funny(fred)&~tall(fred))))&
((?[X]:((humble(X)|calm(X))))=>((~strong(paul)|~kind(paul))))&
(((~quiet(alice)|patient(alice)))=>(creative(lucy)))&
((?[X]:((~calm(X)<~>~creative(X))... | ~funny(mary) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 653294496334746052336211
% SZS output start Proof for 653294496334746052336211
3. ! [X0] : (~funny(X0) => funny(X0)) [input p2]
25. ~funny(mary) [input hypothesis]
32. ! [X0] : (funny(X0) | funny(X0)) [ennf transformation 3]
84. funny(X0) | funny(X0) [cnf transformation 32]
141. ~funny(ma... | 0 |
If susan is both generous and calm then susan is either not kind or not strong.
Everyone who is both not brave and strong is both not patient and wise and vice versa.
Everyone who is patient is not patient.
Everyone who is both kind and tall is both brave and not kind.
If someone is either not calm or funny then someon... | Alice is not old. | contradiction | (((generous(susan)&calm(susan)))=>((~kind(susan)<~>~strong(susan))))&
(![X]:((~brave(X)&strong(X))<=>(~patient(X)&wise(X))))&
(![X]:(patient(X)=>~patient(X)))&
(![X]:((kind(X)&tall(X))=>(brave(X)&~kind(X))))&
((?[X]:((~calm(X)<~>funny(X))))=>(?[X]:((~tall(X)|creative(X)))))&
(((~quiet(paul)|~rich(paul)))<=>(?[X]:((happ... | ~old(alice) | [
"p9",
"p10",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 3233106730536096243719222
% SZS output start Proof for 3233106730536096243719222
10. ! [X0] : ((old(X0) | ~wise(X0)) => (~calm(X0) <~> ~old(X0))) [input p9]
11. ? [X0] : (~quiet(X0) & quiet(X0)) <=> ? [X0] : (~tall(X0) | calm(X0)) [input p10]
12. ! [X0] : ((~wise(X0) | ~old(X0)) => (~stro... | 0 |
If mary is both brave and kind then fred is either not rich or patient. If lucy is both funny and not tall then someone is either not rich or not old. Everyone who is not wise is either patient or not happy. Everyone who is either brave or not generous is tall. If mary is happy then mary is both happy and not old. If m... | John is funny. | neutral | (((brave(mary)&kind(mary)))=>((~rich(fred)<~>patient(fred))))&
(((funny(lucy)&~tall(lucy)))=>(?[X]:((~rich(X)<~>~old(X)))))&
(![X]:(~wise(X)=>(patient(X)<~>~happy(X))))&
(![X]:((brave(X)<~>~generous(X))=>tall(X)))&
((happy(mary))=>((happy(mary)&~old(mary))))&
(((rich(mary)<~>calm(mary)))<=>((calm(john)<~>~generous(john... | funny(john) | [] | null | 0 |
Everyone who is not quiet or not brave is both rich and not funny.
Everyone who is either tall or creative is not patient.
Everyone who is brave is calm or strong.
Everyone who is both not old and not kind is either not creative or calm and vice versa.
If susan is strong then someone is both brave and not kind and vice... | Paul is not patient. | contradiction | (![X]:((~quiet(X)|~brave(X))=>(rich(X)&~funny(X))))&
(![X]:((tall(X)<~>creative(X))=>~patient(X)))&
(![X]:(brave(X)=>(calm(X)|strong(X))))&
(![X]:((~old(X)&~kind(X))<=>(~creative(X)<~>calm(X))))&
((strong(susan))<=>(?[X]:((brave(X)&~kind(X)))))&
((?[X]:((quiet(X)&generous(X))))<=>((patient(alice)&strong(alice))))&
((?[... | ~patient(paul) | [
"p0",
"p6",
"p8",
"p11",
"p12",
"p13",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 134111501494549906473038
% SZS output start Proof for 134111501494549906473038
1. ! [X0] : ((~brave(X0) | ~quiet(X0)) => (~funny(X0) & rich(X0))) [input p0]
7. ? [X0] : wise(X0) <=> (~generous(susan) & generous(susan)) [input p6]
9. ! [X0] : ((~generous(X0) & ~curious(X0)) <=> (~wise(X0) ... | 0 |
Everyone who is generous or happy is either curious or not patient.
If someone is brave then someone is not funny.
If someone is curious or happy then lucy is both not curious and rich and vice versa.
Everyone who is not strong or quiet is calm or strong.
Everyone who is not humble or calm is brave.
Everyone who is bra... | Lucy is happy. | neutral | (![X]:((generous(X)|happy(X))=>(curious(X)<~>~patient(X))))&
((?[X]:(brave(X)))=>(?[X]:(~funny(X))))&
((?[X]:((curious(X)|happy(X))))<=>((~curious(lucy)&rich(lucy))))&
(![X]:((~strong(X)|quiet(X))=>(calm(X)|strong(X))))&
(![X]:((~humble(X)|calm(X))=>brave(X)))&
(![X]:((brave(X)|generous(X))<=>(kind(X)&~brave(X))))&
((?... | happy(lucy) | [] | null | 0 |
Everyone who is not kind is either brave or patient and vice versa.
If paul is both quiet and rich then someone is not curious.
If someone is not wise or kind then someone is not humble.
If someone is both not happy and not funny then someone is both wise and not kind and vice versa.
If mary is not happy then alice is ... | Mary is brave. | contradiction | (![X]:(~kind(X)<=>(brave(X)<~>patient(X))))&
(((quiet(paul)&rich(paul)))=>(?[X]:(~curious(X))))&
((?[X]:((~wise(X)|kind(X))))=>(?[X]:(~humble(X))))&
((?[X]:((~happy(X)&~funny(X))))<=>(?[X]:((wise(X)&~kind(X)))))&
((~happy(mary))=>((~tall(alice)<~>humble(alice))))&
(![X]:((quiet(X)<~>kind(X))<=>~wise(X)))&
(((~curious(p... | brave(mary) | [
"p0",
"p5",
"p15",
"p23",
"hypothesis"
] | % SZS status Unsatisfiable for 1094006252025084209348512
% SZS output start Proof for 1094006252025084209348512
1. ! [X0] : (~kind(X0) <=> (brave(X0) <~> patient(X0))) [input p0]
6. ! [X0] : ((quiet(X0) <~> kind(X0)) <=> ~wise(X0)) [input p5]
16. ! [X0] : ((wise(X0) | patient(X0)) <=> quiet(X0)) [input p15]
24. kind(ma... | 0 |
If mary is either not rich or not generous then someone is both not calm and happy.
If someone is not happy then someone is both not calm and rich.
Everyone who is creative or not tall is generous.
Everyone who is wise or quiet is not generous.
If someone is humble or not brave then someone is not patient.
Everyone who... | Paul is not patient. | entailment | (((~rich(mary)<~>~generous(mary)))=>(?[X]:((~calm(X)&happy(X)))))&
((?[X]:(~happy(X)))=>(?[X]:((~calm(X)&rich(X)))))&
(![X]:((creative(X)|~tall(X))=>generous(X)))&
(![X]:((wise(X)|quiet(X))=>~generous(X)))&
((?[X]:((humble(X)|~brave(X))))=>(?[X]:(~patient(X))))&
(![X]:((tall(X)&~generous(X))=>~happy(X)))&
(((~funny(mar... | ~patient(paul) | [
"p2",
"p3",
"p11",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 480877609638773425695840
% SZS output start Proof for 480877609638773425695840
3. ! [X0] : ((~tall(X0) | creative(X0)) => generous(X0)) [input p2]
4. ! [X0] : ((quiet(X0) | wise(X0)) => ~generous(X0)) [input p3]
12. ! [X0] : ((brave(X0) | tall(X0)) <=> ~tall(X0)) [input p11]
16. ! [X0] : ... | 0 |
If fred is funny then alice is either brave or not wise and vice versa.
Everyone who is both not creative and not quiet is either not rich or rich and vice versa.
Everyone who is either humble or not strong is not calm or tall and vice versa.
If someone is not quiet then someone is not wise and vice versa.
If someone i... | Fred is kind. | contradiction | ((funny(fred))<=>((brave(alice)<~>~wise(alice))))&
(![X]:((~creative(X)&~quiet(X))<=>(~rich(X)<~>rich(X))))&
(![X]:((humble(X)<~>~strong(X))<=>(~calm(X)|tall(X))))&
((?[X]:(~quiet(X)))<=>(?[X]:(~wise(X))))&
((?[X]:(patient(X)))=>((~patient(lucy)|humble(lucy))))&
(![X]:(~curious(X)=>(old(X)<~>calm(X))))&
(![X]:((rich(X)... | kind(fred) | [
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 624327257364432129890850
% SZS output start Proof for 624327257364432129890850
2. ! [X0] : ((~quiet(X0) & ~creative(X0)) <=> (~rich(X0) <~> rich(X0))) [input p1]
13. ! [X0] : ((~quiet(X0) & ~kind(X0)) <=> (~happy(X0) | ~creative(X0))) [input p12]
24. kind(fred) [input hypothesis]
36. ! [X... | 0 |
Everyone who is not creative or generous is both not humble and not brave.
Everyone who is both happy and not wise is either generous or not tall and vice versa.
If someone is not rich or wise then someone is happy or strong and vice versa.
If susan is not brave or not rich then paul is either not tall or not generous ... | Lucy is old. | neutral | (![X]:((~creative(X)|generous(X))=>(~humble(X)&~brave(X))))&
(![X]:((happy(X)&~wise(X))<=>(generous(X)<~>~tall(X))))&
((?[X]:((~rich(X)|wise(X))))<=>(?[X]:((happy(X)|strong(X)))))&
(((~brave(susan)|~rich(susan)))<=>((~tall(paul)<~>~generous(paul))))&
((?[X]:(old(X)))<=>(?[X]:(~funny(X))))&
((?[X]:((~wise(X)|~patient(X)... | old(lucy) | [] | null | 0 |
If someone is either curious or not quiet then lucy is not humble. If someone is either not patient or not rich then mary is both old and not humble. Everyone who is either wise or not generous is either tall or not patient and vice versa. If lucy is old then someone is both not quiet and rich. Everyone who is calm or ... | Lucy is not generous. | contradiction | ((?[X]:((curious(X)<~>~quiet(X))))=>(~humble(lucy)))&
((?[X]:((~patient(X)<~>~rich(X))))=>((old(mary)&~humble(mary))))&
(![X]:((wise(X)<~>~generous(X))<=>(tall(X)<~>~patient(X))))&
((old(lucy))=>(?[X]:((~quiet(X)&rich(X)))))&
(![X]:((calm(X)|wise(X))<=>kind(X)))&
(![X]:((~tall(X)<~>~kind(X))=>(~funny(X)|~rich(X))))&
((... | ~generous(lucy) | [
"p1",
"p2",
"p4",
"p6",
"p8",
"p9",
"p15",
"p21",
"hypothesis"
] | % SZS status Unsatisfiable for 118574067321564261767953
% SZS output start Proof for 118574067321564261767953
2. ? [X0] : (~patient(X0) <~> ~rich(X0)) => (~humble(mary) & old(mary)) [input p1]
3. ! [X0] : ((wise(X0) <~> ~generous(X0)) <=> (tall(X0) <~> ~patient(X0))) [input p2]
5. ! [X0] : ((wise(X0) | calm(X0)) <=> ki... | 0 |
If someone is either brave or not curious then someone is strong or curious. If john is either humble or calm then fred is both not kind and rich and vice versa. Everyone who is either wise or not strong is either calm or not calm. If lucy is humble or not wise then susan is not funny or strong. Everyone who is either ... | Mary is not rich. | neutral | ((?[X]:((brave(X)<~>~curious(X))))=>(?[X]:((strong(X)|curious(X)))))&
(((humble(john)<~>calm(john)))<=>((~kind(fred)&rich(fred))))&
(![X]:((wise(X)<~>~strong(X))=>(calm(X)<~>~calm(X))))&
(((humble(lucy)|~wise(lucy)))=>((~funny(susan)|strong(susan))))&
(![X]:((~tall(X)<~>curious(X))=>~tall(X)))&
((generous(susan))<=>((q... | ~rich(mary) | [] | null | 0 |
If susan is either creative or not brave then alice is not wise and vice versa. If someone is both not kind and patient then fred is not calm or not curious and vice versa. If someone is either calm or not curious then mary is both not strong and creative and vice versa. Everyone who is not strong or creative is not ri... | Susan is tall. | contradiction | (((creative(susan)<~>~brave(susan)))<=>(~wise(alice)))&
((?[X]:((~kind(X)&patient(X))))<=>((~calm(fred)|~curious(fred))))&
((?[X]:((calm(X)<~>~curious(X))))<=>((~strong(mary)&creative(mary))))&
(![X]:((~strong(X)|creative(X))=>(~rich(X)|kind(X))))&
(![X]:((~patient(X)|~wise(X))=>(~old(X)&happy(X))))&
(((curious(susan)|... | tall(susan) | [
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8110791572718092372998632
% SZS output start Proof for 8110791572718092372998632
12. ! [X0] : (~kind(X0) <=> (tall(X0) & kind(X0))) [input p11]
25. tall(susan) [input hypothesis]
59. ! [X0] : ((~kind(X0) | (~tall(X0) | ~kind(X0))) & ((tall(X0) & kind(X0)) | kind(X0))) [nnf transformation ... | 0 |
If lucy is either old or quiet then someone is not funny. Everyone who is both not rich and not tall is not strong or funny and vice versa. Everyone who is both humble and not kind is kind and vice versa. Everyone who is patient is creative or not generous. Everyone who is brave or old is either not brave or not rich a... | Alice is brave. | entailment | (((old(lucy)<~>quiet(lucy)))=>(?[X]:(~funny(X))))&
(![X]:((~rich(X)&~tall(X))<=>(~strong(X)|funny(X))))&
(![X]:((humble(X)&~kind(X))<=>kind(X)))&
(![X]:(patient(X)=>(creative(X)|~generous(X))))&
(![X]:((brave(X)|old(X))<=>(~brave(X)<~>~rich(X))))&
(![X]:(~kind(X)<=>(~funny(X)&~old(X))))&
(![X]:(~quiet(X)=>(~patient(X)|... | brave(alice) | [
"p2",
"p4",
"p5",
"p7",
"p9",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 2181753290346349851451851
% SZS output start Proof for 2181753290346349851451851
3. ! [X0] : ((~kind(X0) & humble(X0)) <=> kind(X0)) [input p2]
5. ! [X0] : ((old(X0) | brave(X0)) <=> (~brave(X0) <~> ~rich(X0))) [input p4]
6. ! [X0] : (~kind(X0) <=> (~old(X0) & ~funny(X0))) [input p5]
8. !... | 0 |
If susan is either curious or strong then paul is either generous or old and vice versa.
Everyone who is funny is not curious and vice versa.
Everyone who is both tall and not patient is both tall and kind and vice versa.
If someone is both not happy and brave then fred is not curious or not happy.
If john is both crea... | Paul is old. | neutral | (((curious(susan)<~>strong(susan)))<=>((generous(paul)<~>old(paul))))&
(![X]:(funny(X)<=>~curious(X)))&
(![X]:((tall(X)&~patient(X))<=>(tall(X)&kind(X))))&
((?[X]:((~happy(X)&brave(X))))=>((~curious(fred)|~happy(fred))))&
(((creative(john)&~tall(john)))=>(?[X]:((tall(X)<~>strong(X)))))&
(![X]:(happy(X)<=>tall(X)))&
((?... | old(paul) | [] | null | 0 |
Everyone who is curious is rich and vice versa.
Everyone who is either not rich or not old is either not patient or tall.
If alice is not strong or strong then someone is not patient or not wise and vice versa.
Everyone who is calm or happy is either not generous or tall.
Everyone who is either wise or humble is both o... | Paul is old. | entailment | (![X]:(curious(X)<=>rich(X)))&
(![X]:((~rich(X)<~>~old(X))=>(~patient(X)<~>tall(X))))&
(((~strong(alice)|strong(alice)))<=>(?[X]:((~patient(X)|~wise(X)))))&
(![X]:((calm(X)|happy(X))=>(~generous(X)<~>tall(X))))&
(![X]:((wise(X)<~>humble(X))<=>(old(X)&calm(X))))&
(((funny(paul)<~>~generous(paul)))=>((old(fred)|~funny(fr... | old(paul) | [
"p0",
"p1",
"p7",
"p8",
"p17",
"hypothesis"
] | % SZS status Unsatisfiable for 5167524408371623096844736
% SZS output start Proof for 5167524408371623096844736
1. ! [X0] : (curious(X0) <=> rich(X0)) [input p0]
2. ! [X0] : ((~rich(X0) <~> ~old(X0)) => (~patient(X0) <~> tall(X0))) [input p1]
8. ! [X0] : ((~rich(X0) | patient(X0)) <=> (curious(X0) <~> ~old(X0))) [input... | 0 |
If someone is not generous or not humble then lucy is either not old or humble.
If lucy is both not curious and not quiet then someone is rich and vice versa.
Everyone who is both strong and not strong is not happy and vice versa.
Everyone who is either curious or not generous is calm or curious and vice versa.
If paul... | Mary is not rich. | entailment | ((?[X]:((~generous(X)|~humble(X))))=>((~old(lucy)<~>humble(lucy))))&
(((~curious(lucy)&~quiet(lucy)))<=>(?[X]:(rich(X))))&
(![X]:((strong(X)&~strong(X))<=>~happy(X)))&
(![X]:((curious(X)<~>~generous(X))<=>(calm(X)|curious(X))))&
(((~old(paul)<~>~funny(paul)))=>(?[X]:((happy(X)&old(X)))))&
(![X]:((~rich(X)|~generous(X))... | ~rich(mary) | [
"p0",
"p1",
"p7",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 2166680911317659865542031
% SZS output start Proof for 2166680911317659865542031
1. ? [X0] : (~humble(X0) | ~generous(X0)) => (~old(lucy) <~> humble(lucy)) [input p0]
2. (~quiet(lucy) & ~curious(lucy)) <=> ? [X0] : rich(X0) [input p1]
8. ! [X0] : (~old(X0) <=> (~curious(X0) <~> ~humble(X0... | 0 |
Everyone who is both strong and not happy is both funny and generous and vice versa.
If someone is not humble or funny then someone is not humble and vice versa.
Everyone who is wise or funny is quiet.
Everyone who is generous or not funny is not quiet or not kind and vice versa.
Everyone who is patient or not wise is ... | Susan is not curious. | contradiction | (![X]:((strong(X)&~happy(X))<=>(funny(X)&generous(X))))&
((?[X]:((~humble(X)|funny(X))))<=>(?[X]:(~humble(X))))&
(![X]:((wise(X)|funny(X))=>quiet(X)))&
(![X]:((generous(X)|~funny(X))<=>(~quiet(X)|~kind(X))))&
(![X]:((patient(X)|~wise(X))<=>(tall(X)|~wise(X))))&
(![X]:((kind(X)<~>generous(X))<=>(~old(X)<~>tall(X))))&
(!... | ~curious(susan) | [
"p8",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 3906163605989271665456421
% SZS output start Proof for 3906163605989271665456421
9. ! [X0] : (~curious(X0) <=> (~happy(X0) & generous(X0))) [input p8]
10. ! [X0] : (tall(X0) => (~tall(X0) | happy(X0))) [input p9]
15. ! [X0] : ((~rich(X0) | ~tall(X0)) <=> tall(X0)) [input p14]
24. ~curious... | 0 |
Everyone who is humble is brave or not humble.
If mary is either not strong or generous then someone is both wise and not old.
Everyone who is either kind or tall is either calm or rich.
If lucy is not strong then john is both not kind and tall and vice versa.
Everyone who is either not generous or strong is either not... | Susan is not kind. | contradiction | (![X]:(humble(X)=>(brave(X)|~humble(X))))&
(((~strong(mary)<~>generous(mary)))=>(?[X]:((wise(X)&~old(X)))))&
(![X]:((kind(X)<~>tall(X))=>(calm(X)<~>rich(X))))&
((~strong(lucy))<=>((~kind(john)&tall(john))))&
(![X]:((~generous(X)<~>strong(X))<=>(~humble(X)<~>~wise(X))))&
(![X]:((~kind(X)|wise(X))<=>(~funny(X)<~>happy(X)... | ~kind(susan) | [
"p13",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 1461304563235196593296354
% SZS output start Proof for 1461304563235196593296354
14. ! [X0] : ((quiet(X0) | ~funny(X0)) => (kind(X0) & ~brave(X0))) [input p13]
20. quiet(susan) & wise(susan) [input p19]
25. ~kind(susan) [input hypothesis]
36. ! [X0] : ((kind(X0) & ~brave(X0)) | (~quiet(X0... | 0 |
Everyone who is either not humble or rich is both humble and not strong and vice versa. Everyone who is both rich and strong is both not humble and not creative and vice versa. If someone is not funny then someone is creative or not kind and vice versa. If john is not brave then lucy is either tall or not tall and vice... | Alice is humble. | entailment | (![X]:((~humble(X)<~>rich(X))<=>(humble(X)&~strong(X))))&
(![X]:((rich(X)&strong(X))<=>(~humble(X)&~creative(X))))&
((?[X]:(~funny(X)))<=>(?[X]:((creative(X)|~kind(X)))))&
((~brave(john))<=>((tall(lucy)<~>~tall(lucy))))&
(![X]:((humble(X)<~>~creative(X))<=>(patient(X)<~>~happy(X))))&
(((humble(alice)<~>~quiet(alice)))<... | humble(alice) | [
"p7",
"p9",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2123185519677119466505796
% SZS output start Proof for 2123185519677119466505796
8. ! [X0] : (~old(X0) <=> (~wise(X0) | humble(X0))) [input p7]
10. ! [X0] : ((strong(X0) & wise(X0)) <=> (old(X0) | ~humble(X0))) [input p9]
13. ! [X0] : ((old(X0) <~> wise(X0)) <=> (~strong(X0) <~> ~humble(X... | 0 |
If someone is either calm or brave then paul is happy or not patient.
Everyone who is either not humble or humble is both not humble and not wise.
Everyone who is both kind and wise is wise or not humble.
Everyone who is not curious or kind is patient.
If someone is quiet or funny then susan is not calm.
Everyone who i... | Lucy is not generous. | neutral | ((?[X]:((calm(X)<~>brave(X))))=>((happy(paul)|~patient(paul))))&
(![X]:((~humble(X)<~>humble(X))=>(~humble(X)&~wise(X))))&
(![X]:((kind(X)&wise(X))=>(wise(X)|~humble(X))))&
(![X]:((~curious(X)|kind(X))=>patient(X)))&
((?[X]:((quiet(X)|funny(X))))=>(~calm(susan)))&
(![X]:(~old(X)<=>(generous(X)&~rich(X))))&
(![X]:(~curi... | ~generous(lucy) | [] | null | 0 |
If susan is tall or wise then someone is not humble or rich.
If someone is not creative or calm then fred is tall or calm.
If someone is not funny or rich then alice is both not funny and tall and vice versa.
Everyone who is not rich is both not calm and not creative.
Everyone who is not old is old or not rich.
Everyon... | Fred is not old. | contradiction | (((tall(susan)|wise(susan)))=>(?[X]:((~humble(X)|rich(X)))))&
((?[X]:((~creative(X)|calm(X))))=>((tall(fred)|calm(fred))))&
((?[X]:((~funny(X)|rich(X))))<=>((~funny(alice)&tall(alice))))&
(![X]:(~rich(X)=>(~calm(X)&~creative(X))))&
(![X]:(~old(X)=>(old(X)|~rich(X))))&
(![X]:((rich(X)<~>~patient(X))<=>(~old(X)|~quiet(X)... | ~old(fred) | [
"p3",
"p4",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 8984905788574892950965814
% SZS output start Proof for 8984905788574892950965814
4. ! [X0] : (~rich(X0) => (~creative(X0) & ~calm(X0))) [input p3]
5. ! [X0] : (~old(X0) => (~rich(X0) | old(X0))) [input p4]
10. ! [X0] : ((quiet(X0) & wise(X0)) <=> (~quiet(X0) <~> calm(X0))) [input p9]
15. ... | 0 |
If someone is both not happy and not strong then susan is strong or quiet and vice versa.
Everyone who is either not kind or old is both calm and not brave and vice versa.
Everyone who is either strong or quiet is not humble or not strong.
If lucy is happy then someone is tall.
Everyone who is tall is both not happy an... | Susan is not kind. | entailment | ((?[X]:((~happy(X)&~strong(X))))<=>((strong(susan)|quiet(susan))))&
(![X]:((~kind(X)<~>old(X))<=>(calm(X)&~brave(X))))&
(![X]:((strong(X)<~>quiet(X))=>(~humble(X)|~strong(X))))&
((happy(lucy))=>(?[X]:(tall(X))))&
(![X]:(tall(X)=>(~happy(X)&rich(X))))&
(![X]:((~strong(X)&brave(X))=>(~curious(X)<~>strong(X))))&
(((~wise(... | ~kind(susan) | [
"p1",
"p4",
"p7",
"p8",
"p9",
"p11",
"p13",
"p15",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 1196397369181401129549336
% SZS output start Proof for 1196397369181401129549336
2. ! [X0] : ((~kind(X0) <~> old(X0)) <=> (~brave(X0) & calm(X0))) [input p1]
5. ! [X0] : (tall(X0) => (rich(X0) & ~happy(X0))) [input p4]
8. (~strong(paul) & tall(paul)) <=> ? [X0] : ~wise(X0) [input p7]
9. !... | 0 |
If someone is patient then someone is both old and generous. If fred is both not curious and not rich then someone is quiet. Everyone who is both not humble and humble is either not funny or old and vice versa. Everyone who is happy or tall is either not curious or creative. Everyone who is both tall and creative is no... | Susan is creative. | contradiction | ((?[X]:(patient(X)))=>(?[X]:((old(X)&generous(X)))))&
(((~curious(fred)&~rich(fred)))=>(?[X]:(quiet(X))))&
(![X]:((~humble(X)&humble(X))<=>(~funny(X)<~>old(X))))&
(![X]:((happy(X)|tall(X))=>(~curious(X)<~>creative(X))))&
(![X]:((tall(X)&creative(X))=>~humble(X)))&
(![X]:((old(X)|~wise(X))=>(~funny(X)<~>patient(X))))&
(... | creative(susan) | [
"p4",
"p6",
"p10",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 143843680031808962769856
% SZS output start Proof for 143843680031808962769856
5. ! [X0] : ((creative(X0) & tall(X0)) => ~humble(X0)) [input p4]
7. ? [X0] : (~curious(X0) | creative(X0)) <=> ? [X0] : (wise(X0) & old(X0)) [input p6]
11. ! [X0] : ((tall(X0) & creative(X0)) <=> wise(X0)) [in... | 0 |
Everyone who is tall is generous or old and vice versa.
Everyone who is creative or old is both not kind and old.
Everyone who is either creative or not creative is not curious or not old.
Everyone who is not brave or old is both not happy and happy.
If susan is both not strong and not quiet then someone is either funn... | Lucy is funny. | contradiction | (![X]:(tall(X)<=>(generous(X)|old(X))))&
(![X]:((creative(X)|old(X))=>(~kind(X)&old(X))))&
(![X]:((creative(X)<~>~creative(X))=>(~curious(X)|~old(X))))&
(![X]:((~brave(X)|old(X))=>(~happy(X)&happy(X))))&
(((~strong(susan)&~quiet(susan)))<=>(?[X]:((funny(X)<~>~happy(X)))))&
((?[X]:((funny(X)|calm(X))))<=>((creative(alic... | funny(lucy) | [
"p1",
"p3",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 2566065758131198050405252
% SZS output start Proof for 2566065758131198050405252
2. ! [X0] : ((old(X0) | creative(X0)) => (old(X0) & ~kind(X0))) [input p1]
4. ! [X0] : ((old(X0) | ~brave(X0)) => (happy(X0) & ~happy(X0))) [input p3]
6. ? [X0] : (calm(X0) | funny(X0)) <=> (creative(alice) <... | 0 |
If fred is both calm and not humble then susan is either calm or patient and vice versa.
Everyone who is not old or not brave is both patient and not happy.
If paul is either calm or not curious then someone is either wise or not generous.
Everyone who is both happy and not rich is both generous and quiet.
Everyone who... | Paul is not funny. | contradiction | (((calm(fred)&~humble(fred)))<=>((calm(susan)<~>patient(susan))))&
(![X]:((~old(X)|~brave(X))=>(patient(X)&~happy(X))))&
(((calm(paul)<~>~curious(paul)))=>(?[X]:((wise(X)<~>~generous(X)))))&
(![X]:((happy(X)&~rich(X))=>(generous(X)&quiet(X))))&
(![X]:((~rich(X)<~>tall(X))<=>(~quiet(X)<~>rich(X))))&
(((~calm(paul)<~>hap... | ~funny(paul) | [
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 7479469924584522772540492
% SZS output start Proof for 7479469924584522772540492
16. ? [X0] : (old(X0) & ~old(X0)) <=> ? [X0] : ~funny(X0) [input p15]
24. ~funny(paul) [input hypothesis]
26. ? [X0] : (old(X0) & ~old(X0)) <=> ? [X1] : ~funny(X1) [rectify 16]
60. (? [X0] : (old(X0) & ~old(X... | 0 |
If someone is either not happy or not funny then someone is both patient and not quiet and vice versa.
Everyone who is either rich or calm is either not happy or patient and vice versa.
If someone is both not patient and not strong then someone is both funny and not wise.
Everyone who is either wise or quiet is curious... | Lucy is funny. | entailment | ((?[X]:((~happy(X)<~>~funny(X))))<=>(?[X]:((patient(X)&~quiet(X)))))&
(![X]:((rich(X)<~>calm(X))<=>(~happy(X)<~>patient(X))))&
((?[X]:((~patient(X)&~strong(X))))=>(?[X]:((funny(X)&~wise(X)))))&
(![X]:((wise(X)<~>quiet(X))=>curious(X)))&
(![X]:((~old(X)&strong(X))=>(wise(X)|~brave(X))))&
(![X]:((~kind(X)&~calm(X))<=>hum... | funny(lucy) | [
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 2243482297294563581162220
% SZS output start Proof for 2243482297294563581162220
6. ! [X0] : ((~calm(X0) & ~kind(X0)) <=> humble(X0)) [input p5]
8. ! [X0] : (humble(X0) <=> (~funny(X0) | ~quiet(X0))) [input p7]
9. ! [X0] : (~kind(X0) => (funny(X0) & brave(X0))) [input p8]
25. ~funny(lucy)... | 0 |
If paul is either not generous or not old then someone is not generous or humble.
Everyone who is both not tall and not quiet is not quiet and vice versa.
Everyone who is either creative or patient is either not tall or not happy.
Everyone who is curious is both not creative and funny.
If someone is not tall then alice... | Paul is not generous. | neutral | (((~generous(paul)<~>~old(paul)))=>(?[X]:((~generous(X)|humble(X)))))&
(![X]:((~tall(X)&~quiet(X))<=>~quiet(X)))&
(![X]:((creative(X)<~>patient(X))=>(~tall(X)<~>~happy(X))))&
(![X]:(curious(X)=>(~creative(X)&funny(X))))&
((?[X]:(~tall(X)))<=>(~generous(alice)))&
(![X]:((~patient(X)|rich(X))=>wise(X)))&
(![X]:((~quiet(X... | ~generous(paul) | [] | null | 0 |
If someone is either happy or curious then someone is either strong or not rich and vice versa.
Everyone who is patient or quiet is both not rich and not happy and vice versa.
If someone is either not happy or generous then john is brave and vice versa.
If someone is rich then someone is not patient or old.
Everyone wh... | Fred is not strong. | entailment | ((?[X]:((happy(X)<~>curious(X))))<=>(?[X]:((strong(X)<~>~rich(X)))))&
(![X]:((patient(X)|quiet(X))<=>(~rich(X)&~happy(X))))&
((?[X]:((~happy(X)<~>generous(X))))<=>(brave(john)))&
((?[X]:(rich(X)))=>(?[X]:((~patient(X)|old(X)))))&
(![X]:(patient(X)<=>(rich(X)&happy(X))))&
(![X]:((~strong(X)&generous(X))<=>(~brave(X)|str... | ~strong(fred) | [
"p5",
"hypothesis"
] | % SZS status Unsatisfiable for 596818782286752834262891
% SZS output start Proof for 596818782286752834262891
6. ! [X0] : ((generous(X0) & ~strong(X0)) <=> (strong(X0) | ~brave(X0))) [input p5]
24. strong(fred) [input hypothesis]
52. ! [X0] : (((generous(X0) & ~strong(X0)) | (~strong(X0) & brave(X0))) & ((strong(X0) | ... | 0 |
If someone is either not generous or kind then someone is either old or calm.
Everyone who is not generous is old.
Everyone who is not kind or kind is not happy and vice versa.
If paul is humble or happy then john is old or not patient and vice versa.
Everyone who is either not kind or not old is both not kind and tall... | Alice is kind. | neutral | ((?[X]:((~generous(X)<~>kind(X))))=>(?[X]:((old(X)<~>calm(X)))))&
(![X]:(~generous(X)=>old(X)))&
(![X]:((~kind(X)|kind(X))<=>~happy(X)))&
(((humble(paul)|happy(paul)))<=>((old(john)|~patient(john))))&
(![X]:((~kind(X)<~>~old(X))<=>(~kind(X)&tall(X))))&
(![X]:(~happy(X)=>(~humble(X)&quiet(X))))&
(![X]:((~strong(X)&rich(... | kind(alice) | [] | null | 0 |
Everyone who is either not quiet or not funny is either patient or not funny.
If someone is rich or humble then susan is patient and vice versa.
If someone is either brave or rich then susan is strong and vice versa.
Everyone who is not calm or not kind is old.
Everyone who is not strong or not patient is not old and v... | John is not wise. | entailment | (![X]:((~quiet(X)<~>~funny(X))=>(patient(X)<~>~funny(X))))&
((?[X]:((rich(X)|humble(X))))<=>(patient(susan)))&
((?[X]:((brave(X)<~>rich(X))))<=>(strong(susan)))&
(![X]:((~calm(X)|~kind(X))=>old(X)))&
(![X]:((~strong(X)|~patient(X))<=>~old(X)))&
(![X]:(brave(X)=>(patient(X)|strong(X))))&
(![X]:(~brave(X)<=>(curious(X)|~... | ~wise(john) | [
"p3",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 2887479432872983732701152
% SZS output start Proof for 2887479432872983732701152
4. ! [X0] : ((~kind(X0) | ~calm(X0)) => old(X0)) [input p3]
9. ! [X0] : (old(X0) <=> (kind(X0) <~> ~wise(X0))) [input p8]
17. ~old(john) [input p16]
24. wise(john) [input hypothesis]
28. ! [X0] : (old(X0) | (... | 0 |
Everyone who is both rich and not humble is not old or kind.
If lucy is rich or not strong then susan is either rich or not brave.
Everyone who is either not wise or kind is quiet or happy.
If mary is either strong or not tall then someone is both not rich and not quiet.
If alice is not old or kind then fred is either ... | Susan is not brave. | neutral | (![X]:((rich(X)&~humble(X))=>(~old(X)|kind(X))))&
(((rich(lucy)|~strong(lucy)))=>((rich(susan)<~>~brave(susan))))&
(![X]:((~wise(X)<~>kind(X))=>(quiet(X)|happy(X))))&
(((strong(mary)<~>~tall(mary)))=>(?[X]:((~rich(X)&~quiet(X)))))&
(((~old(alice)|kind(alice)))<=>((~kind(fred)<~>~old(fred))))&
(![X]:((humble(X)&~old(X))... | ~brave(susan) | [] | null | 0 |
Everyone who is both not strong and strong is wise or kind and vice versa. If someone is not strong then someone is both not generous and not strong and vice versa. If someone is rich or not brave then someone is both not humble and brave. Everyone who is either not curious or not calm is either not creative or not bra... | Fred is not generous. | neutral | (![X]:((~strong(X)&strong(X))<=>(wise(X)|kind(X))))&
((?[X]:(~strong(X)))<=>(?[X]:((~generous(X)&~strong(X)))))&
((?[X]:((rich(X)|~brave(X))))=>(?[X]:((~humble(X)&brave(X)))))&
(![X]:((~curious(X)<~>~calm(X))<=>(~creative(X)<~>~brave(X))))&
(![X]:((humble(X)<~>~kind(X))<=>patient(X)))&
((~curious(lucy))=>((~funny(fred)... | ~generous(fred) | [] | null | 0 |
Everyone who is brave or humble is not humble.
Everyone who is either not curious or patient is not patient or strong.
If alice is both strong and curious then someone is either not humble or calm and vice versa.
If susan is either patient or creative then alice is happy and vice versa.
If someone is calm then someone ... | John is creative. | entailment | (![X]:((brave(X)|humble(X))=>~humble(X)))&
(![X]:((~curious(X)<~>patient(X))=>(~patient(X)|strong(X))))&
(((strong(alice)&curious(alice)))<=>(?[X]:((~humble(X)<~>calm(X)))))&
(((patient(susan)<~>creative(susan)))<=>(happy(alice)))&
((?[X]:(calm(X)))<=>(?[X]:((~wise(X)|brave(X)))))&
((~generous(lucy))=>((~generous(alice... | creative(john) | [
"p0",
"p7",
"p9",
"p12",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 5975306925782213532623580
% SZS output start Proof for 5975306925782213532623580
1. ! [X0] : ((humble(X0) | brave(X0)) => ~humble(X0)) [input p0]
8. ? [X0] : funny(X0) => ? [X0] : (~brave(X0) & ~rich(X0)) [input p7]
10. ! [X0] : ((~strong(X0) & ~brave(X0)) => (~humble(X0) <~> ~rich(X0))) ... | 0 |
Everyone who is either not humble or humble is not brave and vice versa. If someone is either strong or old then someone is not curious or kind and vice versa. If someone is brave then someone is both not calm and not brave. If fred is both not strong and not humble then someone is either brave or happy. Everyone who i... | Susan is curious. | entailment | (![X]:((~humble(X)<~>humble(X))<=>~brave(X)))&
((?[X]:((strong(X)<~>old(X))))<=>(?[X]:((~curious(X)|kind(X)))))&
((?[X]:(brave(X)))=>(?[X]:((~calm(X)&~brave(X)))))&
(((~strong(fred)&~humble(fred)))=>(?[X]:((brave(X)<~>happy(X)))))&
(![X]:(kind(X)<=>(kind(X)<~>~happy(X))))&
((?[X]:((funny(X)&happy(X))))=>(creative(john)... | curious(susan) | [
"p0",
"p4",
"p8",
"p10",
"hypothesis"
] | % SZS status Unsatisfiable for 2951560068744813036543470
% SZS output start Proof for 2951560068744813036543470
1. ! [X0] : ((~humble(X0) <~> humble(X0)) <=> ~brave(X0)) [input p0]
5. ! [X0] : (kind(X0) <=> (kind(X0) <~> ~happy(X0))) [input p4]
9. ! [X0] : (old(X0) => brave(X0)) [input p8]
11. ! [X0] : ((~curious(X0) |... | 0 |
If fred is not rich then someone is both not humble and not strong. Everyone who is either not tall or not quiet is tall and vice versa. If paul is not tall or old then someone is not curious. If mary is both not creative and generous then alice is curious or happy. Everyone who is wise or not curious is either not old... | Mary is not rich. | entailment | ((~rich(fred))=>(?[X]:((~humble(X)&~strong(X)))))&
(![X]:((~tall(X)<~>~quiet(X))<=>tall(X)))&
(((~tall(paul)|old(paul)))=>(?[X]:(~curious(X))))&
(((~creative(mary)&generous(mary)))=>((curious(alice)|happy(alice))))&
(![X]:((wise(X)|~curious(X))=>(~old(X)<~>~patient(X))))&
(![X]:((~rich(X)|strong(X))<=>(old(X)|~strong(X... | ~rich(mary) | [
"p1",
"p5",
"p6",
"hypothesis"
] | % SZS status Unsatisfiable for 331116243589040120682153
% SZS output start Proof for 331116243589040120682153
2. ! [X0] : ((~tall(X0) <~> ~quiet(X0)) <=> tall(X0)) [input p1]
6. ! [X0] : ((strong(X0) | ~rich(X0)) <=> (~strong(X0) | old(X0))) [input p5]
7. ? [X0] : (wise(X0) | strong(X0)) => ? [X0] : quiet(X0) [input p6... | 0 |
If susan is both not calm and quiet then someone is both not rich and not strong.
Everyone who is strong is either not old or tall and vice versa.
If fred is either not calm or not quiet then lucy is both not funny and strong and vice versa.
Everyone who is both curious and not kind is either not generous or brave.
Eve... | Susan is creative. | neutral | (((~calm(susan)&quiet(susan)))=>(?[X]:((~rich(X)&~strong(X)))))&
(![X]:(strong(X)<=>(~old(X)<~>tall(X))))&
(((~calm(fred)<~>~quiet(fred)))<=>((~funny(lucy)&strong(lucy))))&
(![X]:((curious(X)&~kind(X))=>(~generous(X)<~>brave(X))))&
(![X]:((~brave(X)|funny(X))<=>(~creative(X)<~>tall(X))))&
((?[X]:((funny(X)<~>~calm(X)))... | creative(susan) | [] | null | 0 |
If paul is brave or not quiet then paul is not patient or happy and vice versa.
Everyone who is not creative is both not wise and not funny and vice versa.
Everyone who is either not funny or funny is either calm or kind.
If susan is either not curious or wise then someone is either funny or not humble and vice versa.
... | Susan is curious. | entailment | (((brave(paul)|~quiet(paul)))<=>((~patient(paul)|happy(paul))))&
(![X]:(~creative(X)<=>(~wise(X)&~funny(X))))&
(![X]:((~funny(X)<~>funny(X))=>(calm(X)<~>kind(X))))&
(((~curious(susan)<~>wise(susan)))<=>(?[X]:((funny(X)<~>~humble(X)))))&
(![X]:((brave(X)&wise(X))<=>(patient(X)<~>~curious(X))))&
(((tall(john)<~>~strong(j... | curious(susan) | [
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6862976557860915806214933
% SZS output start Proof for 6862976557860915806214933
10. ! [X0] : ((old(X0) & curious(X0)) <=> (~old(X0) | ~generous(X0))) [input p9]
12. ? [X0] : (creative(X0) & tall(X0)) <=> ? [X0] : (~curious(X0) <~> ~old(X0)) [input p11]
15. ? [X0] : (tall(X0) | ~humble(X0... | 0 |
If someone is wise or not generous then someone is strong and vice versa.
If susan is not strong then alice is patient and vice versa.
Everyone who is not happy or curious is generous or not funny.
Everyone who is both not creative and not wise is either wise or strong.
If alice is generous or not patient then someone ... | Mary is patient. | neutral | ((?[X]:((wise(X)|~generous(X))))<=>(?[X]:(strong(X))))&
((~strong(susan))<=>(patient(alice)))&
(![X]:((~happy(X)|curious(X))=>(generous(X)|~funny(X))))&
(![X]:((~creative(X)&~wise(X))=>(wise(X)<~>strong(X))))&
(((generous(alice)|~patient(alice)))<=>(?[X]:((rich(X)&~old(X)))))&
(((~brave(john)&patient(john)))=>(?[X]:((~... | patient(mary) | [] | null | 0 |
If alice is not creative or not generous then someone is not curious or not old.
If someone is not generous then lucy is both creative and patient.
Everyone who is both rich and kind is both strong and not patient and vice versa.
Everyone who is either not kind or not tall is not creative and vice versa.
Everyone who i... | John is strong. | neutral | (((~creative(alice)|~generous(alice)))=>(?[X]:((~curious(X)|~old(X)))))&
((?[X]:(~generous(X)))=>((creative(lucy)&patient(lucy))))&
(![X]:((rich(X)&kind(X))<=>(strong(X)&~patient(X))))&
(![X]:((~kind(X)<~>~tall(X))<=>~creative(X)))&
(![X]:((creative(X)&~wise(X))<=>(~tall(X)&rich(X))))&
(![X]:((happy(X)&curious(X))<=>(~... | strong(john) | [] | null | 0 |
If someone is brave then someone is not funny or not wise and vice versa. Everyone who is patient or rich is both not wise and not curious. Everyone who is creative or humble is not humble. Everyone who is either not tall or not old is either not old or happy. Everyone who is not kind is not quiet or wise. If john is e... | Alice is humble. | contradiction | ((?[X]:(brave(X)))<=>(?[X]:((~funny(X)|~wise(X)))))&
(![X]:((patient(X)|rich(X))=>(~wise(X)&~curious(X))))&
(![X]:((creative(X)|humble(X))=>~humble(X)))&
(![X]:((~tall(X)<~>~old(X))=>(~old(X)<~>happy(X))))&
(![X]:(~kind(X)=>(~quiet(X)|wise(X))))&
(((~quiet(john)<~>~creative(john)))<=>(quiet(lucy)))&
(((~patient(fred)<~... | humble(alice) | [
"p2",
"hypothesis"
] | % SZS status Unsatisfiable for 5012369219635634618859288
% SZS output start Proof for 5012369219635634618859288
3. ! [X0] : ((humble(X0) | creative(X0)) => ~humble(X0)) [input p2]
25. humble(alice) [input hypothesis]
29. ! [X0] : (~humble(X0) | (~humble(X0) & ~creative(X0))) [ennf transformation 3]
81. ~humble(X0) | ~h... | 0 |
Everyone who is both not happy and old is strong.
Everyone who is either brave or not quiet is either not quiet or happy and vice versa.
Everyone who is humble is either wise or rich and vice versa.
If someone is calm or creative then alice is not generous or strong and vice versa.
If lucy is funny then alice is both h... | Lucy is not kind. | contradiction | (![X]:((~happy(X)&old(X))=>strong(X)))&
(![X]:((brave(X)<~>~quiet(X))<=>(~quiet(X)<~>happy(X))))&
(![X]:(humble(X)<=>(wise(X)<~>rich(X))))&
((?[X]:((calm(X)|creative(X))))<=>((~generous(alice)|strong(alice))))&
((funny(lucy))<=>((humble(alice)&happy(alice))))&
(![X]:(~tall(X)<=>calm(X)))&
(((creative(alice)&~generous(a... | ~kind(lucy) | [
"p12",
"p13",
"p22",
"hypothesis"
] | % SZS status Unsatisfiable for 1523646058429368853308780
% SZS output start Proof for 1523646058429368853308780
13. ! [X0] : ((~patient(X0) & calm(X0)) <=> (rich(X0) | happy(X0))) [input p12]
14. (humble(mary) | ~humble(mary)) => (rich(lucy) <~> kind(lucy)) [input p13]
23. patient(lucy) [input p22]
25. ~kind(lucy) [inp... | 0 |
If someone is not strong or kind then someone is funny or not patient. Everyone who is either humble or not curious is both not calm and funny and vice versa. If paul is not brave then someone is both generous and old. If john is not happy then alice is not curious. Everyone who is both creative and not curious is not ... | Susan is not patient. | contradiction | ((?[X]:((~strong(X)|kind(X))))=>(?[X]:((funny(X)|~patient(X)))))&
(![X]:((humble(X)<~>~curious(X))<=>(~calm(X)&funny(X))))&
((~brave(paul))=>(?[X]:((generous(X)&old(X)))))&
((~happy(john))=>(~curious(alice)))&
(![X]:((creative(X)&~curious(X))<=>(~wise(X)|~quiet(X))))&
(![X]:(rich(X)=>(~tall(X)|funny(X))))&
(![X]:((~fun... | ~patient(susan) | [
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 7632629407077273302760915
% SZS output start Proof for 7632629407077273302760915
7. ! [X0] : ((~old(X0) & ~funny(X0)) <=> ~rich(X0)) [input p6]
10. (strong(susan) <~> ~old(susan)) <=> strong(susan) [input p9]
15. ! [X0] : ((rich(X0) | kind(X0)) => (patient(X0) & quiet(X0))) [input p14]
25... | 0 |
Everyone who is not kind or calm is not wise or patient. If someone is not kind then fred is generous and vice versa. If paul is generous then fred is both not quiet and not wise. If susan is humble or strong then mary is either rich or old and vice versa. If someone is patient or generous then mary is either not creat... | Lucy is not strong. | neutral | (![X]:((~kind(X)|calm(X))=>(~wise(X)|patient(X))))&
((?[X]:(~kind(X)))<=>(generous(fred)))&
((generous(paul))=>((~quiet(fred)&~wise(fred))))&
(((humble(susan)|strong(susan)))<=>((rich(mary)<~>old(mary))))&
((?[X]:((patient(X)|generous(X))))<=>((~creative(mary)<~>curious(mary))))&
(![X]:((calm(X)&~brave(X))<=>(quiet(X)<... | ~strong(lucy) | [] | null | 0 |
If alice is either rich or not calm then someone is both quiet and not patient and vice versa. Everyone who is either happy or not strong is both not brave and not happy. If someone is rich then susan is happy and vice versa. If someone is patient or not curious then someone is creative and vice versa. Everyone who is ... | Susan is happy. | contradiction | (((rich(alice)<~>~calm(alice)))<=>(?[X]:((quiet(X)&~patient(X)))))&
(![X]:((happy(X)<~>~strong(X))=>(~brave(X)&~happy(X))))&
((?[X]:(rich(X)))<=>(happy(susan)))&
((?[X]:((patient(X)|~curious(X))))<=>(?[X]:(creative(X))))&
(![X]:((~wise(X)|~humble(X))=>(~creative(X)|rich(X))))&
(![X]:((~happy(X)|patient(X))=>(~kind(X)&f... | happy(susan) | [
"p7",
"p8",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 6073092553527035570198026
% SZS output start Proof for 6073092553527035570198026
8. ! [X0] : ((~kind(X0) & ~generous(X0)) <=> (~generous(X0) <~> generous(X0))) [input p7]
9. (patient(paul) & kind(paul)) <=> ? [X0] : (happy(X0) & ~calm(X0)) [input p8]
16. ! [X0] : (calm(X0) => ~calm(X0)) [... | 0 |
If someone is both wise and not quiet then paul is not kind or creative and vice versa. Everyone who is either not old or patient is either tall or calm and vice versa. Everyone who is not happy or not rich is either not rich or not creative. If someone is funny then susan is either rich or not funny. Everyone who is n... | Susan is kind. | entailment | ((?[X]:((wise(X)&~quiet(X))))<=>((~kind(paul)|creative(paul))))&
(![X]:((~old(X)<~>patient(X))<=>(tall(X)<~>calm(X))))&
(![X]:((~happy(X)|~rich(X))=>(~rich(X)<~>~creative(X))))&
((?[X]:(funny(X)))=>((rich(susan)<~>~funny(susan))))&
(![X]:(~brave(X)=>(quiet(X)&~tall(X))))&
(![X]:((~rich(X)|tall(X))=>(~calm(X)&~creative(... | kind(susan) | [
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 4178218006345866989365018
% SZS output start Proof for 4178218006345866989365018
10. ? [X0] : (~quiet(X0) & quiet(X0)) <=> ? [X0] : (~kind(X0) | ~quiet(X0)) [input p9]
21. ~kind(susan) [input hypothesis]
22. ? [X0] : (~quiet(X0) & quiet(X0)) <=> ? [X1] : (~kind(X1) | ~quiet(X1)) [rectify ... | 0 |
If lucy is either wise or creative then fred is either tall or rich.
If someone is funny then john is generous and vice versa.
If mary is kind or not curious then john is both not humble and creative and vice versa.
Everyone who is both old and not funny is not funny.
Everyone who is not funny is creative or calm and v... | Alice is not happy. | contradiction | (((wise(lucy)<~>creative(lucy)))=>((tall(fred)<~>rich(fred))))&
((?[X]:(funny(X)))<=>(generous(john)))&
(((kind(mary)|~curious(mary)))<=>((~humble(john)&creative(john))))&
(![X]:((old(X)&~funny(X))=>~funny(X)))&
(![X]:(~funny(X)<=>(creative(X)|calm(X))))&
(((curious(fred)&~old(fred)))<=>((~quiet(susan)<~>generous(susan... | ~happy(alice) | [
"p6",
"p7",
"p19",
"p20",
"hypothesis"
] | % SZS status Unsatisfiable for 7666711496673407154280784
% SZS output start Proof for 7666711496673407154280784
7. ! [X0] : ((~generous(X0) | ~quiet(X0)) => ~patient(X0)) [input p6]
8. ! [X0] : ((generous(X0) <~> ~patient(X0)) <=> (~rich(X0) | ~happy(X0))) [input p7]
20. wise(alice) & generous(alice) [input p19]
21. ~q... | 0 |
Everyone who is both not brave and not happy is both wise and not old.
If someone is either brave or not funny then someone is either not kind or happy.
If fred is generous or not calm then someone is not old.
Everyone who is both not quiet and not curious is either not wise or quiet and vice versa.
If paul is not pati... | Mary is kind. | neutral | (![X]:((~brave(X)&~happy(X))=>(wise(X)&~old(X))))&
((?[X]:((brave(X)<~>~funny(X))))=>(?[X]:((~kind(X)<~>happy(X)))))&
(((generous(fred)|~calm(fred)))=>(?[X]:(~old(X))))&
(![X]:((~quiet(X)&~curious(X))<=>(~wise(X)<~>quiet(X))))&
((~patient(paul))=>((~funny(fred)&~rich(fred))))&
(((calm(paul)<~>~strong(paul)))=>(?[X]:((f... | kind(mary) | [] | null | 0 |
Everyone who is not humble or funny is not funny or creative and vice versa. Everyone who is funny is both not funny and funny. If mary is quiet or curious then susan is brave and vice versa. Everyone who is both funny and not wise is wise or not creative and vice versa. Everyone who is either not wise or strong is pat... | Paul is happy. | entailment | (![X]:((~humble(X)|funny(X))<=>(~funny(X)|creative(X))))&
(![X]:(funny(X)=>(~funny(X)&funny(X))))&
(((quiet(mary)|curious(mary)))<=>(brave(susan)))&
(![X]:((funny(X)&~wise(X))<=>(wise(X)|~creative(X))))&
(![X]:((~wise(X)<~>strong(X))=>patient(X)))&
((?[X]:((humble(X)|~curious(X))))<=>((~patient(susan)&~kind(susan))))&
... | happy(paul) | [
"p0",
"p1",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 8165803766134508023835134
% SZS output start Proof for 8165803766134508023835134
1. ! [X0] : ((funny(X0) | ~humble(X0)) <=> (creative(X0) | ~funny(X0))) [input p0]
2. ! [X0] : (funny(X0) => (funny(X0) & ~funny(X0))) [input p1]
13. ! [X0] : ((~humble(X0) | quiet(X0)) => happy(X0)) [input p... | 0 |
If lucy is either wise or not funny then lucy is quiet or not happy and vice versa.
If paul is curious or brave then someone is humble.
Everyone who is both wise and not humble is both calm and wise.
Everyone who is both old and not funny is both funny and strong and vice versa.
Everyone who is kind is both funny and n... | Fred is not kind. | neutral | (((wise(lucy)<~>~funny(lucy)))<=>((quiet(lucy)|~happy(lucy))))&
(((curious(paul)|brave(paul)))=>(?[X]:(humble(X))))&
(![X]:((wise(X)&~humble(X))=>(calm(X)&wise(X))))&
(![X]:((old(X)&~funny(X))<=>(funny(X)&strong(X))))&
(![X]:(kind(X)=>(funny(X)&~strong(X))))&
(![X]:((rich(X)&~curious(X))<=>(~creative(X)&creative(X))))&... | ~kind(fred) | [] | null | 0 |
Everyone who is either not rich or calm is tall or wise and vice versa.
If john is not patient or patient then paul is either not strong or not brave and vice versa.
Everyone who is brave is either not rich or not generous.
Everyone who is old or tall is either not rich or funny.
Everyone who is either not curious or r... | Susan is not rich. | contradiction | (![X]:((~rich(X)<~>calm(X))<=>(tall(X)|wise(X))))&
(((~patient(john)|patient(john)))<=>((~strong(paul)<~>~brave(paul))))&
(![X]:(brave(X)=>(~rich(X)<~>~generous(X))))&
(![X]:((old(X)|tall(X))=>(~rich(X)<~>funny(X))))&
(![X]:((~curious(X)<~>rich(X))<=>(humble(X)|~old(X))))&
(![X]:((humble(X)&~brave(X))<=>(patient(X)|tal... | ~rich(susan) | [
"p0",
"p5",
"p8",
"p9",
"p10",
"p13",
"p15",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 437843850112744369828163
% SZS output start Proof for 437843850112744369828163
1. ! [X0] : ((~rich(X0) <~> calm(X0)) <=> (wise(X0) | tall(X0))) [input p0]
6. ! [X0] : ((~brave(X0) & humble(X0)) <=> (tall(X0) | patient(X0))) [input p5]
9. ! [X0] : ((brave(X0) <~> ~kind(X0)) <=> happy(X0)) ... | 0 |
If alice is not funny or not curious then someone is both generous and not kind.
Everyone who is kind or rich is not strong or not rich and vice versa.
Everyone who is either brave or not creative is both funny and not kind and vice versa.
Everyone who is either strong or not brave is not curious.
If paul is rich then ... | Alice is not generous. | contradiction | (((~funny(alice)|~curious(alice)))=>(?[X]:((generous(X)&~kind(X)))))&
(![X]:((kind(X)|rich(X))<=>(~strong(X)|~rich(X))))&
(![X]:((brave(X)<~>~creative(X))<=>(funny(X)&~kind(X))))&
(![X]:((strong(X)<~>~brave(X))=>~curious(X)))&
((rich(paul))=>(?[X]:((~rich(X)&rich(X)))))&
(((rich(john)|tall(john)))<=>(?[X]:((~creative(X... | ~generous(alice) | [
"p1",
"p6",
"p8",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 5896444440469188806823144
% SZS output start Proof for 5896444440469188806823144
2. ! [X0] : ((rich(X0) | kind(X0)) <=> (~rich(X0) | ~strong(X0))) [input p1]
7. ? [X0] : ~wise(X0) <=> (rich(alice) & ~curious(alice)) [input p6]
9. ! [X0] : ((~generous(X0) & wise(X0)) => (~calm(X0) & ~creat... | 0 |
If mary is curious then someone is not creative or wise. Everyone who is not kind is brave. Everyone who is brave is either kind or not curious and vice versa. If paul is not creative then someone is both not patient and calm and vice versa. Everyone who is both quiet and funny is curious or calm and vice versa. Everyo... | Paul is not curious. | entailment | ((curious(mary))=>(?[X]:((~creative(X)|wise(X)))))&
(![X]:(~kind(X)=>brave(X)))&
(![X]:(brave(X)<=>(kind(X)<~>~curious(X))))&
((~creative(paul))<=>(?[X]:((~patient(X)&calm(X)))))&
(![X]:((quiet(X)&funny(X))<=>(curious(X)|calm(X))))&
(![X]:((~funny(X)|calm(X))<=>~quiet(X)))&
(![X]:(old(X)=>humble(X)))&
(![X]:(funny(X)<=... | ~curious(paul) | [
"p1",
"p2",
"p4",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 8175856068033484174684397
% SZS output start Proof for 8175856068033484174684397
2. ! [X0] : (~kind(X0) => brave(X0)) [input p1]
3. ! [X0] : (brave(X0) <=> (kind(X0) <~> ~curious(X0))) [input p2]
5. ! [X0] : ((funny(X0) & quiet(X0)) <=> (calm(X0) | curious(X0))) [input p4]
9. ! [X0] : (br... | 0 |
If alice is tall or calm then someone is not old or funny.
If alice is both not quiet and not patient then someone is not tall and vice versa.
If someone is not curious or old then fred is both kind and not tall.
Everyone who is quiet is curious.
Everyone who is not quiet is old and vice versa.
If someone is not tall t... | Susan is generous. | neutral | (((tall(alice)|calm(alice)))=>(?[X]:((~old(X)|funny(X)))))&
(((~quiet(alice)&~patient(alice)))<=>(?[X]:(~tall(X))))&
((?[X]:((~curious(X)|old(X))))=>((kind(fred)&~tall(fred))))&
(![X]:(quiet(X)=>curious(X)))&
(![X]:(~quiet(X)<=>old(X)))&
((?[X]:(~tall(X)))=>(?[X]:((rich(X)&~strong(X)))))&
((~quiet(fred))<=>((tall(susan... | generous(susan) | [] | null | 0 |
Everyone who is not rich or tall is both not curious and not strong. Everyone who is not kind is not brave or calm and vice versa. Everyone who is either not brave or not humble is not generous. If susan is either not wise or creative then alice is humble and vice versa. Everyone who is not kind or not wise is not humb... | Lucy is not calm. | neutral | (![X]:((~rich(X)|tall(X))=>(~curious(X)&~strong(X))))&
(![X]:(~kind(X)<=>(~brave(X)|calm(X))))&
(![X]:((~brave(X)<~>~humble(X))=>~generous(X)))&
(((~wise(susan)<~>creative(susan)))<=>(humble(alice)))&
(![X]:((~kind(X)|~wise(X))=>~humble(X)))&
(![X]:((~wise(X)<~>kind(X))<=>(~generous(X)<~>curious(X))))&
(![X]:((humble(X... | ~calm(lucy) | [] | null | 0 |
If someone is humble then paul is both not old and humble and vice versa.
Everyone who is creative is either not humble or not quiet and vice versa.
If someone is either not tall or not strong then susan is not patient or humble and vice versa.
If someone is both not creative and not curious then mary is either not hum... | John is generous. | neutral | ((?[X]:(humble(X)))<=>((~old(paul)&humble(paul))))&
(![X]:(creative(X)<=>(~humble(X)<~>~quiet(X))))&
((?[X]:((~tall(X)<~>~strong(X))))<=>((~patient(susan)|humble(susan))))&
((?[X]:((~creative(X)&~curious(X))))<=>((~humble(mary)<~>~creative(mary))))&
((?[X]:((~funny(X)&kind(X))))<=>(?[X]:((~funny(X)&tall(X)))))&
((?[X]:... | generous(john) | [] | null | 0 |
If lucy is either happy or generous then susan is strong or not humble. Everyone who is not patient or not calm is strong or old and vice versa. If someone is either not kind or not strong then someone is not creative. If susan is both not tall and not brave then someone is either not humble or not calm and vice versa.... | Mary is not creative. | contradiction | (((happy(lucy)<~>generous(lucy)))=>((strong(susan)|~humble(susan))))&
(![X]:((~patient(X)|~calm(X))<=>(strong(X)|old(X))))&
((?[X]:((~kind(X)<~>~strong(X))))=>(?[X]:(~creative(X))))&
(((~tall(susan)&~brave(susan)))<=>(?[X]:((~humble(X)<~>~calm(X)))))&
(((~humble(lucy)<~>~brave(lucy)))=>(funny(john)))&
((quiet(alice))<=... | ~creative(mary) | [
"p6",
"p7",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 4996711958764149018481606
% SZS output start Proof for 4996711958764149018481606
7. ! [X0] : ((creative(X0) & ~funny(X0)) <=> (~brave(X0) | humble(X0))) [input p6]
8. ! [X0] : ((creative(X0) | calm(X0)) <=> (~brave(X0) & ~curious(X0))) [input p7]
12. ! [X0] : ((brave(X0) <~> ~creative(X0)... | 0 |
If someone is either not wise or not quiet then mary is not creative and vice versa.
Everyone who is not rich or strong is not old or not rich.
If someone is funny then someone is happy or not kind and vice versa.
If fred is both not calm and not generous then someone is both not calm and wise and vice versa.
Everyone ... | Alice is not brave. | entailment | ((?[X]:((~wise(X)<~>~quiet(X))))<=>(~creative(mary)))&
(![X]:((~rich(X)|strong(X))=>(~old(X)|~rich(X))))&
((?[X]:(funny(X)))<=>(?[X]:((happy(X)|~kind(X)))))&
(((~calm(fred)&~generous(fred)))<=>(?[X]:((~calm(X)&wise(X)))))&
(![X]:(funny(X)<=>rich(X)))&
(![X]:((~kind(X)<~>funny(X))<=>~old(X)))&
(![X]:(~calm(X)<=>(quiet(X... | ~brave(alice) | [
"p5",
"p8",
"p9",
"hypothesis"
] | % SZS status Unsatisfiable for 5202320210620170123348849
% SZS output start Proof for 5202320210620170123348849
6. ! [X0] : ((~kind(X0) <~> funny(X0)) <=> ~old(X0)) [input p5]
9. ! [X0] : ((~calm(X0) | ~old(X0)) <=> ~brave(X0)) [input p8]
10. ! [X0] : ((~brave(X0) & kind(X0)) <=> (funny(X0) | kind(X0))) [input p9]
25. ... | 0 |
If someone is not calm or brave then someone is not brave or calm and vice versa.
If someone is both not brave and rich then someone is not creative.
If someone is not creative then someone is both not creative and not strong and vice versa.
Everyone who is not creative or not generous is either not tall or not curious... | Mary is generous. | contradiction | ((?[X]:((~calm(X)|brave(X))))<=>(?[X]:((~brave(X)|calm(X)))))&
((?[X]:((~brave(X)&rich(X))))=>(?[X]:(~creative(X))))&
((?[X]:(~creative(X)))<=>(?[X]:((~creative(X)&~strong(X)))))&
(![X]:((~creative(X)|~generous(X))<=>(~tall(X)<~>~curious(X))))&
(![X]:((~brave(X)&old(X))<=>(~humble(X)<~>~curious(X))))&
(![X]:((strong(X)... | generous(mary) | [
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8171798148865280466537474
% SZS output start Proof for 8171798148865280466537474
7. ! [X0] : ((~humble(X0) & humble(X0)) <=> (~patient(X0) | ~wise(X0))) [input p6]
16. ! [X0] : ((~patient(X0) & old(X0)) <=> generous(X0)) [input p15]
23. generous(mary) [input hypothesis]
53. ! [X0] : (((~h... | 0 |
If someone is not old then someone is strong or not funny and vice versa.
Everyone who is either not generous or kind is either not creative or not kind.
Everyone who is either tall or not calm is not generous or not tall.
Everyone who is curious is both curious and wise and vice versa.
Everyone who is humble is strong... | Susan is strong. | contradiction | ((?[X]:(~old(X)))<=>(?[X]:((strong(X)|~funny(X)))))&
(![X]:((~generous(X)<~>kind(X))=>(~creative(X)<~>~kind(X))))&
(![X]:((tall(X)<~>~calm(X))=>(~generous(X)|~tall(X))))&
(![X]:(curious(X)<=>(curious(X)&wise(X))))&
(![X]:(humble(X)=>(strong(X)|old(X))))&
(![X]:((~wise(X)<~>~rich(X))<=>(patient(X)<~>~generous(X))))&
((~... | strong(susan) | [
"p0",
"p3",
"p11",
"hypothesis"
] | % SZS status Unsatisfiable for 8626650091680627291474014
% SZS output start Proof for 8626650091680627291474014
1. ? [X0] : ~old(X0) <=> ? [X0] : (~funny(X0) | strong(X0)) [input p0]
4. ! [X0] : (curious(X0) <=> (wise(X0) & curious(X0))) [input p3]
12. ! [X0] : ((~curious(X0) | wise(X0)) <=> old(X0)) [input p11]
23. st... | 0 |
Everyone who is calm is either not creative or strong. Everyone who is quiet or creative is not calm or not curious and vice versa. If paul is either not generous or calm then someone is both kind and tall. Everyone who is either not creative or patient is wise or not patient. If fred is both not quiet and not funny th... | John is brave. | neutral | (![X]:(calm(X)=>(~creative(X)<~>strong(X))))&
(![X]:((quiet(X)|creative(X))<=>(~calm(X)|~curious(X))))&
(((~generous(paul)<~>calm(paul)))=>(?[X]:((kind(X)&tall(X)))))&
(![X]:((~creative(X)<~>patient(X))=>(wise(X)|~patient(X))))&
(((~quiet(fred)&~funny(fred)))=>(?[X]:((patient(X)&~calm(X)))))&
(((~funny(john)&calm(john)... | brave(john) | [] | null | 0 |
If john is either not calm or tall then john is either not strong or not humble. If someone is both rich and not tall then lucy is either old or not happy. Everyone who is both calm and humble is not funny or quiet. Everyone who is either not creative or funny is both not kind and creative. Everyone who is both not pat... | Alice is not brave. | entailment | (((~calm(john)<~>tall(john)))=>((~strong(john)<~>~humble(john))))&
((?[X]:((rich(X)&~tall(X))))=>((old(lucy)<~>~happy(lucy))))&
(![X]:((calm(X)&humble(X))=>(~funny(X)|quiet(X))))&
(![X]:((~creative(X)<~>funny(X))=>(~kind(X)&creative(X))))&
(![X]:((~patient(X)&quiet(X))=>(~rich(X)<~>strong(X))))&
(((~patient(alice)|brav... | ~brave(alice) | [
"p3",
"p5",
"p10",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 196082058136956707261152
% SZS output start Proof for 196082058136956707261152
4. ! [X0] : ((~creative(X0) <~> funny(X0)) => (creative(X0) & ~kind(X0))) [input p3]
6. (brave(alice) | ~patient(alice)) <=> (wise(paul) & ~creative(paul)) [input p5]
11. ! [X0] : ((~humble(X0) & curious(X0)) <... | 0 |
Everyone who is not brave is either strong or not curious and vice versa.
Everyone who is patient is either wise or not calm.
Everyone who is calm is not brave or humble.
Everyone who is both not brave and funny is both wise and not kind.
If someone is either old or brave then someone is either not wise or brave.
If so... | Paul is not creative. | entailment | (![X]:(~brave(X)<=>(strong(X)<~>~curious(X))))&
(![X]:(patient(X)=>(wise(X)<~>~calm(X))))&
(![X]:(calm(X)=>(~brave(X)|humble(X))))&
(![X]:((~brave(X)&funny(X))=>(wise(X)&~kind(X))))&
((?[X]:((old(X)<~>brave(X))))=>(?[X]:((~wise(X)<~>brave(X)))))&
((?[X]:((~quiet(X)<~>~happy(X))))=>((~happy(lucy)|humble(lucy))))&
(![X]:... | ~creative(paul) | [
"p7",
"p9",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 188764389141492868050040
% SZS output start Proof for 188764389141492868050040
8. ? [X0] : (~funny(X0) <~> ~quiet(X0)) => ? [X0] : (quiet(X0) & ~happy(X0)) [input p7]
10. ! [X0] : ((patient(X0) | ~strong(X0)) => (~quiet(X0) & ~strong(X0))) [input p9]
15. ! [X0] : ((~patient(X0) & generous... | 0 |
Everyone who is not strong or strong is both not curious and not happy and vice versa. If someone is either funny or generous then someone is both not calm and not patient. Everyone who is both not curious and not wise is not happy. If paul is both funny and not kind then someone is either tall or not creative and vice... | Lucy is happy. | contradiction | (![X]:((~strong(X)|strong(X))<=>(~curious(X)&~happy(X))))&
((?[X]:((funny(X)<~>generous(X))))=>(?[X]:((~calm(X)&~patient(X)))))&
(![X]:((~curious(X)&~wise(X))=>~happy(X)))&
(((funny(paul)&~kind(paul)))<=>(?[X]:((tall(X)<~>~creative(X)))))&
(![X]:(~patient(X)=>(~humble(X)&rich(X))))&
((?[X]:(~old(X)))<=>(~wise(mary)))&
... | happy(lucy) | [
"p0",
"hypothesis"
] | % SZS status Unsatisfiable for 199206931059354330102283
% SZS output start Proof for 199206931059354330102283
1. ! [X0] : ((strong(X0) | ~strong(X0)) <=> (~happy(X0) & ~curious(X0))) [input p0]
21. happy(lucy) [input hypothesis]
34. ! [X0] : (((strong(X0) | ~strong(X0)) | (happy(X0) | curious(X0))) & ((~happy(X0) & ~cu... | 0 |
If someone is not patient or humble then paul is both not tall and wise and vice versa.
Everyone who is generous or not happy is not generous or not rich and vice versa.
Everyone who is either funny or creative is kind or funny and vice versa.
Everyone who is not quiet is calm and vice versa.
If lucy is either not curi... | Mary is quiet. | contradiction | ((?[X]:((~patient(X)|humble(X))))<=>((~tall(paul)&wise(paul))))&
(![X]:((generous(X)|~happy(X))<=>(~generous(X)|~rich(X))))&
(![X]:((funny(X)<~>creative(X))<=>(kind(X)|funny(X))))&
(![X]:(~quiet(X)<=>calm(X)))&
(((~curious(lucy)<~>~patient(lucy)))<=>(?[X]:((wise(X)&~funny(X)))))&
(![X]:((~old(X)<~>tall(X))=>(generous(X... | quiet(mary) | [
"p2",
"p3",
"p7",
"p11",
"p13",
"p15",
"p18",
"hypothesis"
] | % SZS status Unsatisfiable for 8495724147521983820258569
% SZS output start Proof for 8495724147521983820258569
3. ! [X0] : ((funny(X0) <~> creative(X0)) <=> (funny(X0) | kind(X0))) [input p2]
4. ! [X0] : (~quiet(X0) <=> calm(X0)) [input p3]
8. ! [X0] : ((humble(X0) & ~tall(X0)) <=> strong(X0)) [input p7]
12. ! [X0] : ... | 0 |
Everyone who is both not strong and strong is tall and vice versa. If someone is both curious and wise then someone is not wise. Everyone who is quiet is strong. Everyone who is humble or not humble is creative. Everyone who is either not curious or not funny is both not quiet and old. Everyone who is either tall or cr... | John is not funny. | entailment | (![X]:((~strong(X)&strong(X))<=>tall(X)))&
((?[X]:((curious(X)&wise(X))))=>(?[X]:(~wise(X))))&
(![X]:(quiet(X)=>strong(X)))&
(![X]:((humble(X)|~humble(X))=>creative(X)))&
(![X]:((~curious(X)<~>~funny(X))=>(~quiet(X)&old(X))))&
(![X]:((tall(X)<~>creative(X))=>(calm(X)&wise(X))))&
(![X]:((generous(X)|~quiet(X))=>(~quiet(... | ~funny(john) | [
"p0",
"p3",
"p5",
"p7",
"p8",
"hypothesis"
] | % SZS status Unsatisfiable for 6342370848378187025893088
% SZS output start Proof for 6342370848378187025893088
1. ! [X0] : ((strong(X0) & ~strong(X0)) <=> tall(X0)) [input p0]
4. ! [X0] : ((~humble(X0) | humble(X0)) => creative(X0)) [input p3]
6. ! [X0] : ((tall(X0) <~> creative(X0)) => (wise(X0) & calm(X0))) [input p... | 0 |
Everyone who is both not creative and not tall is funny and vice versa.
Everyone who is strong or not curious is humble.
Everyone who is either not generous or not rich is not rich.
Everyone who is both brave and wise is both not rich and not humble.
Everyone who is not humble or not brave is not old.
If someone is bot... | Lucy is not strong. | entailment | (![X]:((~creative(X)&~tall(X))<=>funny(X)))&
(![X]:((strong(X)|~curious(X))=>humble(X)))&
(![X]:((~generous(X)<~>~rich(X))=>~rich(X)))&
(![X]:((brave(X)&wise(X))=>(~rich(X)&~humble(X))))&
(![X]:((~humble(X)|~brave(X))=>~old(X)))&
((?[X]:((~quiet(X)&~curious(X))))=>(?[X]:((~tall(X)|~humble(X)))))&
(![X]:((patient(X)&~fu... | ~strong(lucy) | [
"p1",
"p19",
"hypothesis"
] | % SZS status Unsatisfiable for 8078063358452321870478799
% SZS output start Proof for 8078063358452321870478799
2. ! [X0] : ((~curious(X0) | strong(X0)) => humble(X0)) [input p1]
20. ~humble(lucy) [input p19]
25. strong(lucy) [input hypothesis]
27. ! [X0] : (humble(X0) | (curious(X0) & ~strong(X0))) [ennf transformatio... | 0 |
Everyone who is both not patient and generous is funny or rich and vice versa. If someone is generous or humble then lucy is either not wise or strong and vice versa. Everyone who is both not curious and not brave is either not patient or not brave and vice versa. If someone is not calm or not patient then someone is o... | Fred is not rich. | entailment | (![X]:((~patient(X)&generous(X))<=>(funny(X)|rich(X))))&
((?[X]:((generous(X)|humble(X))))<=>((~wise(lucy)<~>strong(lucy))))&
(![X]:((~curious(X)&~brave(X))<=>(~patient(X)<~>~brave(X))))&
((?[X]:((~calm(X)|~patient(X))))=>(?[X]:(old(X))))&
((~funny(john))=>(?[X]:((~brave(X)<~>funny(X)))))&
(![X]:(wise(X)<=>(creative(X)... | ~rich(fred) | [
"p0",
"p2",
"p3",
"p5",
"p7",
"p8",
"p11",
"p12",
"p13",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1544014963493255539362299
% SZS output start Proof for 1544014963493255539362299
1. ! [X0] : ((generous(X0) & ~patient(X0)) <=> (rich(X0) | funny(X0))) [input p0]
3. ! [X0] : ((~brave(X0) & ~curious(X0)) <=> (~patient(X0) <~> ~brave(X0))) [input p2]
4. ? [X0] : (~patient(X0) | ~calm(X0)) ... | 0 |
If someone is tall or curious then susan is not kind and vice versa. Everyone who is wise is funny. If someone is both humble and curious then alice is either happy or not happy. If fred is not generous then someone is not humble or not strong and vice versa. If susan is not strong then john is kind. If lucy is creativ... | Lucy is brave. | entailment | ((?[X]:((tall(X)|curious(X))))<=>(~kind(susan)))&
(![X]:(wise(X)=>funny(X)))&
((?[X]:((humble(X)&curious(X))))=>((happy(alice)<~>~happy(alice))))&
((~generous(fred))<=>(?[X]:((~humble(X)|~strong(X)))))&
((~strong(susan))=>(kind(john)))&
((creative(lucy))=>(?[X]:((happy(X)&funny(X)))))&
(![X]:((quiet(X)&humble(X))<=>(~o... | brave(lucy) | [
"p6",
"p7",
"p11",
"p12",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 960440139406947700573728
% SZS output start Proof for 960440139406947700573728
7. ! [X0] : ((humble(X0) & quiet(X0)) <=> (~funny(X0) & ~old(X0))) [input p6]
8. ! [X0] : (old(X0) <=> (~tall(X0) & humble(X0))) [input p7]
12. ? [X0] : quiet(X0) <=> (humble(paul) | generous(paul)) [input p11]... | 0 |
If someone is both creative and not patient then susan is either strong or curious. Everyone who is either kind or brave is not strong. Everyone who is not brave is either not patient or not curious and vice versa. If john is both not brave and happy then someone is both rich and not kind. Everyone who is either patien... | Susan is not kind. | neutral | ((?[X]:((creative(X)&~patient(X))))=>((strong(susan)<~>curious(susan))))&
(![X]:((kind(X)<~>brave(X))=>~strong(X)))&
(![X]:(~brave(X)<=>(~patient(X)<~>~curious(X))))&
(((~brave(john)&happy(john)))=>(?[X]:((rich(X)&~kind(X)))))&
(![X]:((patient(X)<~>old(X))<=>~wise(X)))&
(![X]:(~humble(X)<=>(funny(X)|~humble(X))))&
(![X... | ~kind(susan) | [] | null | 0 |
If lucy is strong then alice is either not old or not calm.
If john is both not old and humble then someone is either not brave or creative.
Everyone who is not generous or generous is both creative and rich.
Everyone who is both not quiet and happy is either brave or calm and vice versa.
If alice is generous or calm t... | Fred is quiet. | entailment | ((strong(lucy))=>((~old(alice)<~>~calm(alice))))&
(((~old(john)&humble(john)))=>(?[X]:((~brave(X)<~>creative(X)))))&
(![X]:((~generous(X)|generous(X))=>(creative(X)&rich(X))))&
(![X]:((~quiet(X)&happy(X))<=>(brave(X)<~>calm(X))))&
(((generous(alice)|calm(alice)))=>(?[X]:(tall(X))))&
(![X]:((funny(X)|~rich(X))=>(creativ... | quiet(fred) | [
"p3",
"p6",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 1227322392668558856539883
% SZS output start Proof for 1227322392668558856539883
4. ! [X0] : ((happy(X0) & ~quiet(X0)) <=> (brave(X0) <~> calm(X0))) [input p3]
7. ! [X0] : ((funny(X0) & quiet(X0)) <=> (brave(X0) | calm(X0))) [input p6]
16. ? [X0] : (quiet(X0) | ~calm(X0)) <=> (~strong(fre... | 0 |
Everyone who is both not tall and not happy is not patient and vice versa.
If someone is either kind or generous then someone is not humble.
Everyone who is both not wise and rich is funny or humble and vice versa.
Everyone who is either quiet or humble is both not tall and not old and vice versa.
If someone is not tal... | Alice is not kind. | contradiction | (![X]:((~tall(X)&~happy(X))<=>~patient(X)))&
((?[X]:((kind(X)<~>generous(X))))=>(?[X]:(~humble(X))))&
(![X]:((~wise(X)&rich(X))<=>(funny(X)|humble(X))))&
(![X]:((quiet(X)<~>humble(X))<=>(~tall(X)&~old(X))))&
((?[X]:((~tall(X)|~calm(X))))=>(old(susan)))&
((?[X]:(~humble(X)))<=>((kind(alice)&brave(alice))))&
(((~funny(lu... | ~kind(alice) | [
"p1",
"p5",
"p12",
"hypothesis"
] | % SZS status Unsatisfiable for 2339798682783703693824681
% SZS output start Proof for 2339798682783703693824681
2. ? [X0] : (kind(X0) <~> generous(X0)) => ? [X0] : ~humble(X0) [input p1]
6. ? [X0] : ~humble(X0) <=> (brave(alice) & kind(alice)) [input p5]
13. ! [X0] : ((generous(X0) & ~tall(X0)) <=> (~brave(X0) | brave(... | 0 |
Everyone who is either not wise or creative is either not patient or not humble.
If lucy is both not calm and not happy then fred is not creative and vice versa.
If someone is creative then someone is both calm and not calm and vice versa.
Everyone who is quiet is funny or patient.
Everyone who is not happy is either n... | John is happy. | contradiction | (![X]:((~wise(X)<~>creative(X))=>(~patient(X)<~>~humble(X))))&
(((~calm(lucy)&~happy(lucy)))<=>(~creative(fred)))&
((?[X]:(creative(X)))<=>(?[X]:((calm(X)&~calm(X)))))&
(![X]:(quiet(X)=>(funny(X)|patient(X))))&
(![X]:(~happy(X)<=>(~rich(X)<~>brave(X))))&
((?[X]:((quiet(X)<~>brave(X))))=>((~patient(susan)|~brave(susan))... | happy(john) | [
"p1",
"p2",
"p4",
"p9",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 8320673618689696761116321
% SZS output start Proof for 8320673618689696761116321
2. (~happy(lucy) & ~calm(lucy)) <=> ~creative(fred) [input p1]
3. ? [X0] : creative(X0) <=> ? [X0] : (~calm(X0) & calm(X0)) [input p2]
5. ! [X0] : (~happy(X0) <=> (~rich(X0) <~> brave(X0))) [input p4]
10. ! [... | 0 |
If alice is not generous or not patient then alice is quiet or happy and vice versa.
If someone is both not tall and not generous then someone is both curious and not rich and vice versa.
If paul is either not curious or quiet then susan is both not wise and not curious.
Everyone who is either curious or funny is funny... | Paul is not tall. | neutral | (((~generous(alice)|~patient(alice)))<=>((quiet(alice)|happy(alice))))&
((?[X]:((~tall(X)&~generous(X))))<=>(?[X]:((curious(X)&~rich(X)))))&
(((~curious(paul)<~>quiet(paul)))=>((~wise(susan)&~curious(susan))))&
(![X]:((curious(X)<~>funny(X))<=>funny(X)))&
(((quiet(alice)<~>wise(alice)))<=>(?[X]:((curious(X)&~rich(X))))... | ~tall(paul) | [] | null | 0 |
If susan is kind or quiet then fred is either generous or calm and vice versa.
Everyone who is both not old and not creative is both creative and not wise and vice versa.
Everyone who is old or not calm is brave or generous and vice versa.
Everyone who is not brave is brave or tall and vice versa.
If someone is old or ... | Paul is humble. | entailment | (((kind(susan)|quiet(susan)))<=>((generous(fred)<~>calm(fred))))&
(![X]:((~old(X)&~creative(X))<=>(creative(X)&~wise(X))))&
(![X]:((old(X)|~calm(X))<=>(brave(X)|generous(X))))&
(![X]:(~brave(X)<=>(brave(X)|tall(X))))&
((?[X]:((old(X)|wise(X))))<=>(?[X]:(funny(X))))&
(![X]:((~funny(X)<~>kind(X))<=>rich(X)))&
(![X]:((kin... | humble(paul) | [
"p1",
"p2",
"p3",
"p6",
"p11",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 529347400994500175750138
% SZS output start Proof for 529347400994500175750138
2. ! [X0] : ((~creative(X0) & ~old(X0)) <=> (~wise(X0) & creative(X0))) [input p1]
3. ! [X0] : ((~calm(X0) | old(X0)) <=> (generous(X0) | brave(X0))) [input p2]
4. ! [X0] : (~brave(X0) <=> (tall(X0) | brave(X0)... | 0 |
If john is rich then john is not patient and vice versa.
Everyone who is both not brave and not funny is funny.
Everyone who is not kind is curious or not old and vice versa.
Everyone who is not calm is both generous and curious and vice versa.
Everyone who is old or not old is not old and vice versa.
Everyone who is b... | Lucy is quiet. | entailment | ((rich(john))<=>(~patient(john)))&
(![X]:((~brave(X)&~funny(X))=>funny(X)))&
(![X]:(~kind(X)<=>(curious(X)|~old(X))))&
(![X]:(~calm(X)<=>(generous(X)&curious(X))))&
(![X]:((old(X)|~old(X))<=>~old(X)))&
(![X]:((~happy(X)&humble(X))<=>(~wise(X)&~creative(X))))&
(![X]:((~calm(X)<~>~rich(X))=>(old(X)&generous(X))))&
(![X]:... | quiet(lucy) | [
"p3",
"p4",
"p6",
"p9",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6626913616295603420487165
% SZS output start Proof for 6626913616295603420487165
4. ! [X0] : (~calm(X0) <=> (curious(X0) & generous(X0))) [input p3]
5. ! [X0] : ((~old(X0) | old(X0)) <=> ~old(X0)) [input p4]
7. ! [X0] : ((~calm(X0) <~> ~rich(X0)) => (generous(X0) & old(X0))) [input p6]
10... | 0 |
Everyone who is not curious is both calm and old and vice versa.
Everyone who is both not happy and creative is not strong.
Everyone who is either not quiet or not curious is both not strong and not patient and vice versa.
If someone is either not rich or kind then someone is both tall and not curious.
If john is both ... | Paul is not calm. | contradiction | (![X]:(~curious(X)<=>(calm(X)&old(X))))&
(![X]:((~happy(X)&creative(X))=>~strong(X)))&
(![X]:((~quiet(X)<~>~curious(X))<=>(~strong(X)&~patient(X))))&
((?[X]:((~rich(X)<~>kind(X))))=>(?[X]:((tall(X)&~curious(X)))))&
(((~creative(john)&wise(john)))=>(?[X]:((~wise(X)<~>patient(X)))))&
(![X]:(wise(X)=>(patient(X)&curious(X... | ~calm(paul) | [
"p0",
"p2",
"p5",
"p8",
"p13",
"hypothesis"
] | % SZS status Unsatisfiable for 7132071730418424426474139
% SZS output start Proof for 7132071730418424426474139
1. ! [X0] : (~curious(X0) <=> (old(X0) & calm(X0))) [input p0]
3. ! [X0] : ((~quiet(X0) <~> ~curious(X0)) <=> (~patient(X0) & ~strong(X0))) [input p2]
6. ! [X0] : (wise(X0) => (curious(X0) & patient(X0))) [in... | 0 |
If paul is either not quiet or not creative then someone is funny or not tall and vice versa. Everyone who is not creative is not curious. If fred is humble then someone is not funny or not kind and vice versa. If someone is not old or calm then fred is both quiet and not happy. Everyone who is either not strong or str... | Paul is not funny. | contradiction | (((~quiet(paul)<~>~creative(paul)))<=>(?[X]:((funny(X)|~tall(X)))))&
(![X]:(~creative(X)=>~curious(X)))&
((humble(fred))<=>(?[X]:((~funny(X)|~kind(X)))))&
((?[X]:((~old(X)|calm(X))))=>((quiet(fred)&~happy(fred))))&
(![X]:((~strong(X)<~>strong(X))=>funny(X)))&
(![X]:((creative(X)|wise(X))<=>(brave(X)&~generous(X))))&
((... | ~funny(paul) | [
"p4",
"hypothesis"
] | % SZS status Unsatisfiable for 7437025584392533504347239
% SZS output start Proof for 7437025584392533504347239
5. ! [X0] : ((~strong(X0) <~> strong(X0)) => funny(X0)) [input p4]
21. ~funny(paul) [input hypothesis]
26. ! [X0] : (funny(X0) | (~strong(X0) <=> strong(X0))) [ennf transformation 5]
38. ! [X0] : (funny(X0) |... | 0 |
Everyone who is humble or not funny is not brave or curious. If someone is quiet then fred is not rich and vice versa. If someone is not happy then someone is rich or funny. Everyone who is patient or not brave is both curious and not wise and vice versa. Everyone who is either not funny or rich is rich or not patient.... | Paul is not brave. | contradiction | (![X]:((humble(X)|~funny(X))=>(~brave(X)|curious(X))))&
((?[X]:(quiet(X)))<=>(~rich(fred)))&
((?[X]:(~happy(X)))=>(?[X]:((rich(X)|funny(X)))))&
(![X]:((patient(X)|~brave(X))<=>(curious(X)&~wise(X))))&
(![X]:((~funny(X)<~>rich(X))=>(rich(X)|~patient(X))))&
(![X]:((~happy(X)&~tall(X))<=>(kind(X)|~patient(X))))&
(![X]:((~... | ~brave(paul) | [
"p1",
"p3",
"p6",
"p8",
"p9",
"p11",
"p14",
"hypothesis"
] | % SZS status Unsatisfiable for 6928342802676042995130124
% SZS output start Proof for 6928342802676042995130124
2. ? [X0] : quiet(X0) <=> ~rich(fred) [input p1]
4. ! [X0] : ((~brave(X0) | patient(X0)) <=> (~wise(X0) & curious(X0))) [input p3]
7. ! [X0] : ((~old(X0) <~> ~wise(X0)) <=> brave(X0)) [input p6]
9. ! [X0] : (... | 0 |
If fred is not humble then lucy is not brave and vice versa.
Everyone who is either not generous or not funny is patient or funny and vice versa.
If someone is calm or generous then someone is brave or not rich.
If someone is creative or brave then alice is both not humble and creative and vice versa.
Everyone who is n... | Fred is not curious. | entailment | ((~humble(fred))<=>(~brave(lucy)))&
(![X]:((~generous(X)<~>~funny(X))<=>(patient(X)|funny(X))))&
((?[X]:((calm(X)|generous(X))))=>(?[X]:((brave(X)|~rich(X)))))&
((?[X]:((creative(X)|brave(X))))<=>((~humble(alice)&creative(alice))))&
(![X]:((~curious(X)|~quiet(X))<=>funny(X)))&
(![X]:((rich(X)&generous(X))=>~humble(X)))... | ~curious(fred) | [
"p1",
"p4",
"p8",
"p12",
"p13",
"p14",
"p15",
"hypothesis"
] | % SZS status Unsatisfiable for 3353187570283500395657252
% SZS output start Proof for 3353187570283500395657252
2. ! [X0] : ((~generous(X0) <~> ~funny(X0)) <=> (funny(X0) | patient(X0))) [input p1]
5. ! [X0] : ((~quiet(X0) | ~curious(X0)) <=> funny(X0)) [input p4]
9. ! [X0] : (patient(X0) <=> quiet(X0)) [input p8]
13. ... | 0 |
Everyone who is both not rich and not humble is either old or rich and vice versa. If someone is either not humble or kind then alice is not happy or not humble. Everyone who is calm or not brave is not old. Everyone who is both not calm and patient is not strong or not tall and vice versa. If john is both not brave an... | Alice is not funny. | neutral | (![X]:((~rich(X)&~humble(X))<=>(old(X)<~>rich(X))))&
((?[X]:((~humble(X)<~>kind(X))))=>((~happy(alice)|~humble(alice))))&
(![X]:((calm(X)|~brave(X))=>~old(X)))&
(![X]:((~calm(X)&patient(X))<=>(~strong(X)|~tall(X))))&
(((~brave(john)&rich(john)))<=>(?[X]:((patient(X)|~strong(X)))))&
(((~quiet(alice)<~>generous(alice)))<... | ~funny(alice) | [] | null | 0 |
Everyone who is not wise is tall. If paul is either not wise or not funny then fred is not curious or not funny and vice versa. If susan is either not strong or not wise then paul is funny and vice versa. Everyone who is not patient or patient is either not calm or curious. If someone is patient then mary is both funny... | Mary is tall. | neutral | (![X]:(~wise(X)=>tall(X)))&
(((~wise(paul)<~>~funny(paul)))<=>((~curious(fred)|~funny(fred))))&
(((~strong(susan)<~>~wise(susan)))<=>(funny(paul)))&
(![X]:((~patient(X)|patient(X))=>(~calm(X)<~>curious(X))))&
((?[X]:(patient(X)))=>((funny(mary)&curious(mary))))&
(![X]:((~wise(X)<~>brave(X))=>(patient(X)&~patient(X))))&... | tall(mary) | [] | null | 0 |
Everyone who is both not curious and strong is creative. If someone is both old and humble then someone is not wise or creative. Everyone who is either not quiet or not creative is both curious and not humble and vice versa. Everyone who is both happy and not generous is quiet or generous. If john is funny or not funny... | Susan is funny. | contradiction | (![X]:((~curious(X)&strong(X))=>creative(X)))&
((?[X]:((old(X)&humble(X))))=>(?[X]:((~wise(X)|creative(X)))))&
(![X]:((~quiet(X)<~>~creative(X))<=>(curious(X)&~humble(X))))&
(![X]:((happy(X)&~generous(X))=>(quiet(X)|generous(X))))&
(((funny(john)|~funny(john)))=>(?[X]:((~strong(X)|tall(X)))))&
(![X]:((~happy(X)&rich(X)... | funny(susan) | [
"p13",
"p16",
"hypothesis"
] | % SZS status Unsatisfiable for 186104434893139727478136
% SZS output start Proof for 186104434893139727478136
14. ! [X0] : ((~funny(X0) & ~quiet(X0)) <=> (kind(X0) | ~strong(X0))) [input p13]
17. ~strong(susan) <~> ~funny(susan) [input p16]
25. funny(susan) [input hypothesis]
59. ! [X0] : (((~funny(X0) & ~quiet(X0)) | ... | 0 |
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